In a case whereby the total mass of a box and some oranges was 25 kg. The total mass of the same box and some apples was 11 kg. The mass of the oranges was 3 times the mass of the apples, the mass of the oranges is 21kg.
How can the mass of the oranges be determined?The concept that will be used here is simplificatiopn.
We can set up as:
let a represent the box
let b represent the orange
lect c represent the apple
Then a + b = 25
a+ c = 11 ....................................................(2)
b = 3c.......................................(3)
substract equation 2 from 1
b-c = 11 ....................................(4)
substitute eqn 3 into 4
b-c = 14
3c - c =14
2c= 14
c= 7
from eqn 3
b = 3c
b = 3*7 =21
Then mass of orange = 21 kg
from eqn 2
a+ c = 11
a= 11-7= 4
mass of empty box = 4kg
Learn more about mass at:
https://brainly.com/question/25959744
#SPJ1
4. The table shows the number of beads used to make a necklace. Ginger wants to make a smaller necklace using the same ratio of pink to white beads. How many different necklaces could Ginger make? How do you know?
The number of different necklaces that Ginger can make, with the same ratio of pink to white beads is 5 necklaces.
How to find the number of necklaces ?To find the number of necklaces, find the smallest equivalent ratio of pink to white beats used to make the necklace.
Pink beads : White beads
30 : 35
( 30 / 5 ) : ( 35 / 5 )
6 : 7
To find the find the number of beads, divide the number of pink beads available by the number of pink beads in the ratio:
= 30 / 6
= 5 necklaces
Find out more on necklaces at https://brainly.com/question/28402522
#SPJ1
what’s (-3x^5)^2 times 4x^3
Answer:36x^13
Step-by-step explanation:
We can solve this problem using the rule of exponents: (am)n = amn.
First, let's simplify the exponent on the first term:
(-3x^5)^2 = (-3x^5) × (-3x^5)
Next, let's multiply this by 4x^3:
(-3x^5)^2 × 4x^3 = (-3x^5) × (-3x^5) × 4x^3
Now, let's multiply the coefficients and combine the exponents:
(-3 × -3)x^(5 + 5 + 3) = 36x^13
Therefore, the answer is 36x^13.
if you generate multiple datasets from a distribution with a given mean and variance, the mean and variance that you calculate from the generated data will always be the exact same as the original?
If we generate the multiple datasets from a distribution with a given mean and variance , then mean and variance of from generated data will not be same .
The sample mean and the variance are random variables that vary from sample to sample, even if the samples are drawn from the same population.
When we generate a sample from a distribution with a known mean and variance, the sample mean and variance will be estimates of the population mean and variance ;
So , because of sampling variability, the estimates obtained from different samples may differ from one another and from the true population parameters.
Learn more about Sample Mean here
https://brainly.com/question/30023845
#SPJ4
Look at the expression and fill in the correct number in each blank.
The given expression has
term(s) with
1,500(1+1)*
factors.
The expression has 3 terms and 3 factors
What are the terms of the equationThe terms are the constant, the r term and the t term
The factors that are in the equation are 1500, 1 and 12
What is an exponential equation?An exponential equation is an equation that involves an exponential function, which has the form f(x) = a^x, where "a" is a constant base and "x" is the exponent. Exponential equations are used to model phenomena that grow or decay at a constant relative rate. The solutions to exponential equations can be found by manipulating the equation algebraically to isolate the variable in the exponent, taking logarithms of both sides, or by using exponential rules such as the power rule or the product rule.
Read more on exponential equation here:https://brainly.com/question/12940982
#SPJ1
Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution of X.
X 0 1 2 3 4 or more
probability 0. 58 0. 23 0. 11 0. 05 0. 03
If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F.
(a) Construct the probability distribution of the random variable Y.
(b) Determine the mean and standard deviation of Y. Show your work.
Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0. 40 and 0. 66, respectively. The fat quarters sell for $5. 00 each but are discounted by $1. 50 for each defect found.
(c) What are the mean and standard deviation of the selling price for the fat quarters sold by Company G?
The probability distribution of the random variable Y is 0.63, 0.25, 0.12. The mean of y is 0.4899 and the std deviation of y is 0.6999 and the mean of the selling price for the fat quarters sold by Company G is $4.4 and the std deviation for the same is $0.99
a) x = number of defects on a fat quarter
to be sold, X must be, X ≤ 2
y = number of defects on the sellable fat quarter,
now from the table, P [fat quarter being sellable]
=P [X ≤ 2]
=0.58 + 0.23 + 0.11
= 0.92
Therefore, P[y-0] = P[x=0Ix≤2]
=[tex]\frac{P[x=0][x < 2]}{P[x < 2]}[/tex]
=P[y=0] = 0.63
P[y=1] = P[x=1Ix≤2]
P[y=1] = [tex]\frac{0.23}{0.92}[/tex]
=0.25
P[y=2] = P[x=2Ix≤2]
P[y=2] = [tex]\frac{0.11}{0.92}[/tex]
= 0.12
y------------------0--------1---------2
probability---0.63----0.25----0.12
b)mean of y = E(y)
=0²×0.063+1×0.25+2×0.12
=0.25+0.24
=0.49
now we know that E(y²) = 0²×0.63+1²×0.25+2²×0.12
=0.25+0.48
=0.73
E(y²) - [E(y)]²
=0.73-0.49²
=0.4899
std deviation of y = 0.6999
c) now that we have E(G) = 0.40, √v(G) = 0.66
let s be selling price of fat quarters, then s = 5.00 - 1.50 × (G)
therefore = 5-1.5×0.4
=5-0.6
=$4.4 is the mean selling price.
now for the standard deviation price = v[5-1.5G]
=v(5)+1.5² v(G)
=0+2.25×0.66²
=v(s)= 0.9801
standard deviation of sp =√v(s)
=$0.99
To learn more about probability, click here:
brainly.com/question/11234923
#SPJ4
Select the correct answer.
If f(x) = 3x+2 and g(x) = 2x - 2. what is (f- g)(x)?
OA. X+4
OB. X-2
OC. X
OD. 5x-2
O E.
X-4
Answer:
A
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x + 2 - (2x - 2) ← distribute parenthesis by - 1
= 3x + 2 - 2x + 2 ← collect like terms
= x + 4
Rewrite 26/9 as a mixed number. help me
The required mixed number of 26/9 is given as 2 8/9.
What is a mixed number?A mixed number is a number that consists of a whole number and a proper fraction. It is written in the form "a b/c", where "a" is the whole number, "b" is the numerator of the proper fraction, and "c" is the denominator of the proper fraction.
Here,
To rewrite 26/9 as a mixed number, we need to divide the numerator (26) by the denominator (9) and express the result as a whole number and a proper fraction.
26 ÷ 9 = 2 with a remainder of 8
The whole number part is 2, and the proper fraction part is 8/9, since 8 is the remainder and 9 is the denominator.
Therefore, 26/9 as a mixed number is 2 8/9.
Learn more about mixed numbers here,
https://brainly.com/question/1529017
#SPJ9
What is the percent of change from 90 to 18?
* 80% increase
*80% decrease
*75% decrease
*75% increase
*25% increase
The percent of change is the change in value in percent from 90 to 18 that is an 80% decrease.
To calculate the percent change from 90 to 18, we first need to find the difference between the two values:
Change = Final Value - Initial Value
Change = 18 - 90
Change = -72
The negative sign indicates that there has been a decrease in value.
To find the percent change, we can use the following formula:
Percent Change = (Change / Initial Value) x 100%
Percent Change = (-72 / 90) x 100%
Percent Change = -80%
So there is decrease in percent from 90 to 18 that is by 80%.
To know more about Percent:
https://brainly.com/question/25828142
#SPJ4
4 Bob makes dry concrete by mixing cement, sand and stone in the ratio 1:2:3 by weight.
He buys the cement, sand and stone in bags as shown in this table.
Cement
Sand
Stone
Weight of bag
(kg)
25
20
15
Cost per bag
(£)
5.50
2.00
3.90
ratios
He packs the dry concrete into 30 kg bags.
Bob buys just enough cement, sand and stone to make 50 bags of dry concrete.
(a) Show that Bob buys 500 kg of sand.
Bob needs to buy 500 kg of sand.
What is the ratio?
A ratio is a quantitative relationship between two numbers, quantities, or values that expresses how many times one is contained in the other. Ratios are typically expressed in the form of "a to b" or "a:b" and can be represented as fractions or decimals.
Since the ratio of cement to sand to stone is 1:2:3 by weight, the total weight of the ingredients needed to make one bag of dry concrete is:
Cement: 1/6 of 30 kg = 5 kg
Sand: 2/6 of 30 kg = 10 kg
Stone: 3/6 of 30 kg = 15 kg
To make 50 bags of dry concrete, Bob will need 50 times these amounts:
Cement: 5 kg x 50 = 250 kg
Sand: 10 kg x 50 = 500 kg
Stone: 15 kg x 50 = 750 kg
Hence, Bob needs to buy 500 kg of sand.
To learn more about the ratios, visit:
https://brainly.com/question/12024093
#SPJ1
anyone knows the answer for this?
The blank in the statement should be filled in with "ΔVYZ." which is proven by the definition of congruence.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.
Since S, T, and U are midpoints in ΔVYZ, it follows that:
ST is a median of ΔVYZ, meaning it bisects the side VZ into two equal parts.
TU is a median of ΔVYZ, meaning it bisects the side VY into two equal parts.
SV is a median of ΔVYZ, meaning it bisects the side YZ into two equal parts.
Using the definition of congruence, two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in measure. Since medians bisect their corresponding sides, it follows that all three pairs of corresponding sides in ΔYST, ΔTUZ, and ΔSVU are equal in length.
Furthermore, since the medians divide the triangle into two smaller triangles that are similar to the original triangle, it follows that the corresponding angles in ΔYST, ΔTUZ, and ΔSVU are equal in measure.
Therefore, ΔYST ≅ ΔTUZ ≅ ΔSVU ≅ ΔVYZ.
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ
In the figure below, find mzABC.
B
D
m/ABC=
The measure of angle ABC from the given circle D is 34°.
What is angles in the same segment theorem?The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.
Given that, circle with the center D and measure of arc AC is 34°.
The measure of arc = m∠ABC
m∠ABC =34°
Therefore, the measure of m∠ABC is 34°.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313.
#SPJ1
Find the area under the standard normal distribution curve between =z−1.97 and =z1.21. Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.
Please help asap!!! :) 84 points if done correctly.
Answer:
[tex]\boxed{\checkmark}\;\;52 = 8n + 4[/tex]
[tex]\boxed{\checkmark}\;\;4(2n + 1) = 52[/tex]
[tex]\boxed{\checkmark}\;\;4 = 52 - 8n[/tex]
[tex]\boxed{\phantom{\checkmark}}\;\;4n = 48[/tex]
[tex]\boxed{\checkmark}\;\;n = 6[/tex]
Step-by-step explanation:
To determine if the equations are equivalent, solve the equations for n.
Option 1
[tex]\begin{aligned}\implies 52&=8n+4\\52-4&=8n+4-4\\48&=8n\\48\div 8&=8n \div 8\\6&=n\\n&=6\end{aligned}[/tex]
Option 2
[tex]\begin{aligned}\implies 4(2n+1)&=52\\8n+4&=52\\8n+4-4&=52-4\\8n&=48\\8n \div 8&=48 \div 8\\n&=6\end{aligned}[/tex]
Option 3
[tex]\begin{aligned}\implies 4&=52-8n\\4+8n&=52-8n+8n\\4+8n&=52\\4+8n-4&=52-4\\8n&=48\\8n \div 8&=48 \div 8\\n&=6\end{aligned}[/tex]
Option 4
[tex]\begin{aligned}\implies 4n&=48\\4n \div 4&=48 \div 4\\n&=12\end{aligned}[/tex]
Option 5
[tex]n=6[/tex]
Therefore, the equations that are equivalent are:
52 = 8n + 44(2n + 1) = 524 = 52 - 8nn = 6What is the graph of the following function? Click on the graph until the correct one appears.
g(x) = {<1}X-2, X21-4x+3, x < 1
Pls i need help !!!
The graph of the piecewise function is given by the image presented at the end of the answer.
How to graph the piecewise function?A piecewise function is a function that has multiple definitions, according to it's input values.
The two definitions for this problem are given as follows:
Until x = 1.Right of x = 1.For the values until x = 1, we have an increasing linear function, with intercept of y = -2, and finishes at the point (1,-1).
For the values greater than x = 1, the function is a linear function, starting at the point (1,-1), and decaying.
More can be learned about piecewise functions at https://brainly.com/question/19358926
#SPJ1
A system of equations is shown.
y=x+1
x-2y=-4
Which represents the solution of this system?
O(-2, -3)
O(-2, 3)
(2, -3)
(2, 3)
there are 30 people in a classroom. ignoring the potential of a leap-year birthday (so 365 days), what is the probability that at least one pair of people have the same birthday?
The probability that at least one pair of people have the same birthday, with 30 people in a classroom is approximately 0.7063.
To solve this problem, we can use the concept of the complement of an event. The complement of the event "at least one pair of people have the same birthday" is the event "no pair of people have the same birthday." So, we can find the probability of this complement event and subtract it from 1 to get the probability of the original event.
The probability that the first person has a unique birthday is 1, since there are no other people in the room yet. The probability that the second person also has a unique birthday is (364/365), since there are 364 remaining days in the year that they could be born on.
Similarly, the probability that the third person has a unique birthday is (363/365), and so on, down to the 30th person, whose probability of having a unique birthday is (336/365).
To find the probability that no pair of people have the same birthday, we can multiply these probabilities together:
P(no pair share a birthday) = 1 * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937
Therefore, the probability that at least one pair of people have the same birthday is:
P(at least one pair share a birthday) = 1 - P(no pair share a birthday) ≈ 1 - 0.2937 = 0.7063
So the probability that at least one pair of people have the same birthday is approximately 0.7063, which is quite high. This is known as the birthday problem or birthday paradox.
To learn more about probability click on,
https://brainly.com/question/13493824
#SPJ4
which expressions will have a positive answer? assume all variables represent numbers larger than zero (select all that apply)
Answer:
bro do u have a pic i will give u your points back but i need a pic to help
Step-by-step explanation:
PQRS is a trapezium, and AB ∥ PS ∥QR. If PA = 3 cm, AQ = 1.4 cm, BR = 2.1 cm,
then SB =
Answer:
In trapezium PQRS, AB is parallel to PS and PS is parallel to QR. Since we know the lengths of PA, AQ, and BR, we can calculate the length of SB as follows:
SB = PA + BR - AQ = 3 + 2.1 - 1.4 = 3.7 cm
we need to survey a random sample of the 300 passengers on a flight from san francisco to tokyo. you randomly select a seat position (right window, right center, right aisle, etc.) and survey all the passengers sitting in those seats. what sampling technique best describes the process here?
The sampling technique best described here is systematic sampling. Systematic sampling is a type of probability sampling in which the elements in the population are selected in a systematic way
This sampling technique is used when the population size is too large to survey the entire population. In this example, the population size is 300 passengers and the sampling interval is determined by dividing the population size by the sample size. For example, if the sample size is 30, the sampling interval is[tex]10 (300/30=10).[/tex] This means that every 10th passenger is randomly selected for the survey. The selection starts with a randomly chosen passenger and then the ninth passenger after that is selected and so on. The formula for Systematic sampling is n = N/n, where N is the population size and n is the sample size.
Learn more about sampling technique here:
https://brainly.com/question/14546338
#SPJ4
an exponential function passes through the points (0, 11) and (3, 1375). what are the values of and ?
The values of a and b in the exponential function f(x) = [tex]ab^x[/tex] can be found by using the two given points and solving a system of two equation.
To find the values of a and b in the exponential function f(x) = [tex]ab^x[/tex] given that it passes through the points (0, 11) and (3, 1375), we can use the supplied positions where a and b must be solved.
Let's start with the point (0, 11). Plugging x = 0 and y = 11 into the equation, we have:
11 = [tex]a * b^0[/tex]
Since [tex]b^0[/tex] = 1 for any value of b, we have:
11 = a * 1
So a = 11.
Next, let's use the point (3, 1375) to find b. Plugging x = 3 and y = 1375 into the equation, we have:
1375 = [tex]11 * b^3[/tex]
Dividing both sides of the equation by 11, we have:
125 = [tex]b^3[/tex]
By combining the cube roots of the two sides, we obtain:
b = 5
So the values of a and b are a = 11 and b = 5. The exponential function that passes through the points (0, 11) and (3, 1375) is f(x) = [tex]11 * 5^x[/tex].
Learn more about exponential function here:
https://brainly.com/question/12260956
#SPJ4
The complete question is:
an exponential function f(x) = [tex]ab^x[/tex] passes through the points (0, 11) and (3, 1375). Find the values of a and b?
what's the rate of change of -7≤x≤-2
Answer:
4
Step-by-step explanation:
Rate of change forumla
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
We have our X points, -7 and -2. Now to find the Y value at those places.
For -7, Y is 5
For -2, Y is 25
Now we plug this into the equation
[tex] = \frac{25 - 5}{ - 2 - ( - 7)} = \frac{20}{5} = 4[/tex]
Sarah charges $12 an hour when she
babysits. She also charges a non-refundabl
$5 fee just for showing up. What equation
could be used to represent the relationship
between x, the number of hours she
babysits, and y, the amount of money she
makes? jo
The equation which correctly shows the relationship between x, number of hours and y, the amount of money she makes is; y = 12x + 7.
What is the relationship between x and y as described?It follows from the task content that the relationship between y and x is to be.
By comparison with the slope-intercept equation; y = mx + c.
Since, slope, m is the rate of change; m = 12$ per hour.
Also, the nonrefundable one-time fee for showing up represents the y-intercept, c.
Therefore, the required equation is;
y = 12x + 5.
Read more on model equations;
https://brainly.com/question/28008720
#SPJ1
Discuss THREE ways on how bad behaviour in sport in a country can
dampen nation building.
(3 x 2) C
Fynlain
ba
ode
f
othie
in.
enorts can encourage positive
Answer:
Step-by-step explanation:
chicken
A football coach is trying to decide what team is ahead lay in the girl with strategies better play the regular Defense play a prevent DFS the guards or against lol games, but make sure Gaines easier the coach of use the outcome of 100 games
The greater probability is the probability of winning through the use of regular defense.
How to solve for the probabilityIf out of the 100 games that were reviewed, the defense games were 50 and the prevent defense games were 50 as well
Out of the regular 50, there are 38 wins and then 12 loses. Out of the prevent games, there 29 wins and 21 loses.
The probability to win by regular is 38 / 50 = 0.76
the probability to win by prevent defense is 29 / 50 = 0.58
0.76 is greater than 0.58 hence the decision would be to win the game by playing the regular defense.
Read more on probability here:
https://brainly.com/question/24756209
#SPJ1
A football coach is trying to decide: When a team is ahead late in the game, which strategy is better?
Play the "regular" defense.
Play a "prevent" defense that guards against long gains but makes short gains easier.
The coach reviews the outcomes of 100 games.
Compare the probability of winning when playing regular defense with the probability of winning when playing prevents defense. Draw a conclusion based on your results.
If the scale factor of figure A to figure B is 3:8 find the value of x
If the scale factor of figure A to figure B is 3:8, the value of x is 9.
We are given Figure A and Figure B, along with their respective scale factors. To solve the problem, we must utilize the proportion rule. The ratio of the two figures is 3:8, so we can write the equation for proportion as follows -
3/8 = x/24
Applying the cross-multiplication rule, we get,
3 * 24 = 8 * x
Further solving for the value of x, we get,
x = (3 * 24) / 8
x = 9
Hence, the value of x is 9.
Read more about proportions:
brainly.com/question/870035
#SPJ4
The complete question is -
If the scale factor of figure A to figure B is 3:8 find the value of x.
Solve the word problem below. Enter your answer in simplest terms, using the
slash (/) to represent the fraction bar.
You have 4/6 cup of oatmeal in your cupboard. A recipe for cookies calls for 1/4
cup of oatmeal. How much oatmeal would you have left if you made the
cookies
Answer:
5/12
Step-by-step explanation:
4/6 - 1/4 The common denominator would be 12
8/12 - 3/12 = 5/12
Answer:
5/12
Step-by-step explanation:
mark me please
which of the following is the best interpretation of the power of a significance test? responses power is the probability of detecting an effect if no effect exists. power is the probability of detecting an effect if no effect exists. power is the probability of detecting an effect if an effect exists. power is the probability of detecting an effect if an effect exists. power is the probability of detecting an effect whether or not an effect exists. power is the probability of detecting an effect whether or not an effect exists. power is the probability of not detecting an effect if no effect exists. power is the probability of not detecting an effect if no effect exists. power is the probability of not detecting an effect if an effect exists.
The power in a significance test is the probability of detecting a true effect, while the probability of making a type II error is the complementary probability of power.
A significance test is a statistical method used to determine whether an observed difference or effect is statistically significant or simply due to chance.
Power is defined as the probability of detecting an effect in a significance test if an effect truly exists. In other words, it is the probability of correctly rejecting the null hypothesis (H0) when the alternative hypothesis (Ha) is true. The null hypothesis assumes that there is no significant difference between two groups, while the alternative hypothesis states that there is a significant difference.
Mathematically, power is calculated using the following formula:
Power = 1 - β
Where β is the probability of making a type II error, which is the probability of failing to reject the null hypothesis when the alternative hypothesis is true. In other words, it is the probability of not detecting an effect when an effect truly exists.
Therefore, power and β are complementary probabilities. If power is high, β is low, and vice versa. A significance test with a low power has a higher chance of making a type II error, meaning that it can fail to detect a real effect. Conversely, a test with a high power has a lower chance of making a type II error, meaning that it can detect a real effect more accurately.
To know more about probability here
https://brainly.com/question/11234923
#SPJ4
if a t test yields p > 0.05 the null hypothesis would normally be: select one: a. accepted. b. rejected. c. accepted under certain conditions. d. there is not enough information for you to evaluate the findings.
if a t test yields p > 0.05 the null hypothesis would normally be option (A) accepted
The null hypothesis defined as the types of hypothesis that do not have any statistical significance exist in the given set of observation.
The p value is defined as the measurement that is used to validate the hypothesis using the observed data. The range of the p value varies from zero to one. Zero means no chance and 1 means absolute certainty
If a t test yields a p-value greater than 0.05, it means that there is insufficient evidence to reject the null hypothesis, and the results are not statistically significant. Therefore, the null hypothesis is accepted.
Therefore, the correct option is (A) accepted
Learn more about null hypothesis here
brainly.com/question/28920252
#SPJ4
There are 250 people in a museum
2/5 of the 50 peoples are girls
3/10 of the 50 people are boys
The rest of the 250 people are adults
Work out the number of adults in museum
The number of adults in the museum, using the fractional value of girls and boys, is 75.
What is a fractional value?A fractional value refers to a portion of the total value.
A fractional value can be depicted in fractions, decimals, or percentages.
A fractional value can also be represented as a ratio or proportion.
In this situation, the fractional number of adults is determined using subtraction.
The total number of people in a museum = 250
The fraction of girls in the museum = 2/5
2/5 of 250 = 100 girls
The fraction of boys in the museum = 3/10
3/10 of 250 = 75
Alternatively:
2/5 + 3/10 = 7/10
7/10 of 250 = 175
Therefore, the number of adults = 75 [250 - (100 + 75)]
Learn more about fractional values at https://brainly.com/question/20323470.
#SPJ1
Complete Question:There are 250 people in the museum.
2/5 of the 250 people are girls.
3/10 out of the 250 people are boys.
The rest of the 250 people are adults.
Work out the number of adults in the museum.
You are building a ramp that must cover a horizontal distance of
exactly 13 feet. The angle of the ramp from the ground is 8°.
Determine the length of the ramp, in feet. Round to two decimal
places as needed.
The length of the ramp that must cover the horizontal distance is 13.13 feet.
What is the length of the ramp, in feet ?Given the data in the question, this forms a right-triangle.
Angle θ = 8°Adjacent of angle θ = 13ftLength of the ramp = hypotenuse = ?To solve for the length of the ramp, we use trigonometric ratio
Cosine = Adjacent / Hypotenuse
Plug in the values
cos( 8° ) = 13ft / hypotenuse
Hypotenuse = 13ft / cos( 8° )
Hypotenuse = 13.13 ft
Therefore, the ramp's length is 13.13 ft.
Learn more about trigonometric ratio here: brainly.com/question/28016662
#SPJ1
