Answers
Answer:
[tex]\huge\boxed{\sf AB = 8.86 \ cm}[/tex]
Step-by-step explanation:
Given:θ = 41°
Hypotenuse = BC = 13.5 cm
Required:opposite = AB = ?
We will use the trigonometric ratio of sin.
Solution:[tex]\displaystyle sin \ \theta = \frac{opposite }{hypotenuse} \\\\sin \ 41=\frac{AB}{13.5} \\\\0.656 = \frac{AB}{13.5} \\\\0.656 \times 13.5 = AB\\\\8.86 \ cm = AB\\\\\boxed{ AB = 8.86 \ cm}\\\\\rule[225]{225}{2}[/tex]
Related Questions
Which term describes the red curve in the figure below?
Answers
Let a and b be real numbers where a . Which of the following functions could represent the graph below?
f(x) = x(x – a)3(x – b)3
f(x) = (x – a)2(x – b)4
f(x) = x(x – a)6(x – b)2
f(x) = (x – a)5(x – b)
Answers
It can be deduced that the option that represents the graph is B. f(x)=(x-a)²(x-b)⁴
How to solve the graph?From the graph, a and b be real numbers where a = b = 0. In this case, zero is not a root of the polynomial function
When the graph touches the x-axis at two point l, it implies that means that both the roots of the polynomial equation are of even degree.
Thus, the correct option B. i.e. f(x)=(x-a)²(x-b)⁴
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Expressions - Part 1
16÷(2+1/2)² ?
Answers
From the given expression, the equivalent expression would be 64/25.
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
Given;
16÷(2+1/2)²
16÷(5/2)²
16÷(25/4)
16 x (4/25)
= 64 / 25
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Solve the equation.
4.5=0.5n
Answers
4.5 divided by 0.5 = 9
Have a nice day
HJ=
help me please thannk u :)
Answers
Answer:
10 is the answer. hj is 10
Need help urgently please
Answers
1/2x+6x+90=12
6.5x+90=12
6 1/2x= -78
x= -12
y= -12+15
y=3
What are coefficients in the expression 2+6+10b-8a
Answers
[tex]\boldsymbol{Answer:}[/tex] 10 and -8 ✅
[tex]\boldsymbol{Step-by-step\;explanation:}[/tex]
Hii, do you need to know the co-efficients in the expression [tex]"\boldsymbol{2+6+10b-8a}"[/tex]? No problem! (:
What are Co-efficients?A "co-efficient" is a number that comes before a variable.
Here there are only two such numbers: "10" and "-8"; 10 comes before b, and -8 comes before a. 2 and 6 don't come before any variables at all, so they are not co-efficients.
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]
[tex]\bigstar\underbrace[/tex]
--
Which is true of dependent events?
a.) the probability of all dependent events can be calculated using the or formula
b.) you can use a two-way frequency table to calculate the conditional probability of events that are dependent.
c.) the outcome of one event has no effect on the outcome of a second event.
d.) you can find the and probability of dependent events using the formula
branliest to correct answer please no guessing
Answers
As per the attached picture Option fourth "the probability of all dependent events can be calculated using the OR formula P(A or B) = P(A) + P(B) - P(A and B)" is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know the dependent events are dependent on what happened before.
Let A and B be dependent events:
Event B will be dependent on the Event A
P(A or B) = P(A) + P(B) - P(A and B)
Thus, option fourth "the probability of all dependent events can be calculated using the OR formula P(A or B) = P(A) + P(B) - P(A and B)" is correct.
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An electronics store researched the TV sales in the last 6 months. The probability a customer would purchase the Brand 1 model TV was 70% while the rest of the customers purchased the Brand 2 model. Furthermore, 20% of the Brand 1 customers purchased an extended warranty while 40% of Brand 2 customers purchased an extended warranty. A customer is randomly selected from among all those who bought a TV from the store. What is the probability that the selected customer purchased a Brand 1 model and an extended warranty
Answers
The probability that the selected customer purchased a Brand 1 model is 0.14.
Given that probability a customer would purchase the Brand 1 model TV was 70% while the rest of the customers purchased the Brand 2 model. and 20% of the Brand 1 customers purchased an extended warranty while 40% of Brand 2 customers purchased an extended warranty.
The probability that a customer would purchase Brand 1 model TV P(A)=0.70.
The probability that a customer purchases the extended warranty given that the customer purchased the Brand 1 model TV is
P(B|A)=0.20
P(A and B)÷P(A)=0.20
P(A and B)÷0.70=0.20
P(A and B)=0.14
Hence, the probability that the selected customer purchases a Brand 1 model and an extended warranty is 0.14.
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If area of a circle is 49/64 pie cm square,then find the circumference of the circle?
Answers
Answer:
7/4 * pi
Step-by-step explanation:
Area of circle = pi * r^2
Find radius:
pi * 49/64 = pi * r^2
49/64 = r^2
7/8= r
Circumference of circle = 2pi * r
2 * pi * (7/8) = 7/4 * pi
Assuming that the answer is in terms of pi as the question is in terms of pi
1. Select all the true statements.
A. √-I is an imaginary number.
-1
B. There are no real numbers that satisfy the equation x = √√-1.
C. Because √-I is imaginary, no one does math with it.
D. The equation x² = -1 has real solutions.
E. √-T = -1 because -1 -1 = -1.
Answers
Answer:
A , B , D
Step-by-step explanation:
Work out the volume of the cone, giving your answer
to 3 significant figures.
7 cm
24 cm
25 cm
= πr²h |
Volume of cone =
cm³
Answers
Answer: 1230
Step-by-step explanation:
[tex]V=\frac{1}{3}(\pi)(r^{2)h=\frac{1}{3}(\pi)(7^{2})(24) \approx \boxed{1230 \text{ cm}^{3}}[/tex]
Who wants to solve a question
Answers
70 packages can be filled from a jar that contains 7/8pounds of the leaves
Ratio and proportionsFractions are written as a ratio of two integers. If each bad contains 1/80 pound peppermint leaves, then;
1/80pounds = 1 package
To determine the total package for 7/8 pounds of leaves
7/8 pounds = x
Take the ratios
1/80 * 8/7 = 1/x
8/560 = 1/x
x = 560/8
x = 70
70 packages can be filled from a jar that contains 7/8pounds of the leaves
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Find the range of f(x) = 3x + 2 for the domain = {1, 2, 3}.
Answers
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.Interval Notation:..
(-∞,∞)
Set-Builder Notation:
{x|x∈ℝ}
The range is the set of all valid yy values. Use the graph to find the range…
Interval Notation:
(-∞,∞)
Set-Builder Notation:
{y|y∈R}
Determine the domain and range…
Domain: (−∞,∞),{x|x∈R}
Range: (−∞,∞),{y|y∈R}
Answer:
{ 5, 8, 11 }
Step-by-step explanation:
the range is the corresponding values of f(x) for the values of x in the domain.
substitute the x- values from the domain into f(x)
f(1) = 3(1) + 2 = 3 + 2 = 5
f(2) = 3(2) + 2 = 6 + 2 = 8
f(3) = 3(3) + 2 = 9 + 2 = 11
range is { 5, 8, 11 }
)In the figure below, lines m and n are parallel:
Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.
In the diagram shown, ∠6 measures 97 degrees. What is the measure of ∠5?
83 degrees
90 degrees
97 degrees
180 degrees
Answers
Based on the linear pair theorem, the measure of angle 5 is: A. 83 degrees.
What is the Linear Pair Theorem?The linear pair theorem states that if two angles are on a straight line, the sum of their measures equals 180 degrees.
∠5 and ∠6 are a linear pair. Therefore:
m∠5 = 180 - m∠6
m∠5 = 180 - 97
m∠5 = 83°
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Answer:83 degrees
Step-by-step explanation:topG
5y + 3= 14
pleaseeeee help
Answers
Answer:
5y + 3= 14
subtract 3 from each side
5y=11
divide each side by 5
5y/5=11/5
y=11/5 or 2.2 or 2 1/5
Hope This Helps!!!
Answer:
2.2
Step-by-step explanation:
Properties needed:
Subtraction Property of EqualityDivision Property of Equality
First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.
5y + 3 = 14
-3 -3
5y = 11
Then we need to divide 5 from both sides (division property of equality) to get y.
[tex]\frac{5y}{5} = \frac{11}{5}[/tex]
And we get 2.2
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I hope this helps!
Have a great day!
Which of the following objects is considered to be one-dimensional because it ha length but no width or height?
A. Line segment
B. Point
C. Triangle
D.Cube
Answers
straight -undefined figure whicl
thickness or depth. It extends
both directions.
A line segment is a part of a lin
points on both the sides.
It has only length therefore, it i:
dimensional.
A. Line segment
A cake decorator is rolling a square of fondant into a rectangle. the area of the rectangle can be represented by the expression 1.5s(2s). simplify the expression representing the area. 3.5s 3s2 3.5s2 3s
Answers
Answer:3.5s2
Step-by-step explanation:
because I said so
Answer:
3.5s2
Step-by-step explanation:
because that guy said so and it was right
Evaluate the algebraic expression.
z^2+1+y when y=4, and z=3.
Answers
Answer:
your question is
z²+1+y where, y=4,z=3
3²+1+4
9+5
14
is your answer
For what value of g does the function f(g) = g2 + 3g equal 18?
A.
2
B.
3
C.
4
D.
6
E.
8
Answers
Answer:
B) 3
Step-by-step explanation:
f(3) = 3^2 + 3(3) = 9 + 9 = 18
Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as
Answers
A data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.
A symmetric distribution occurs when the mean, median, and mode all occur at the same location and the values of the variables occur at regular intervals.The few low scores in a negatively skewed distribution tend to push the mean to the left, thus the mean is typically lower than the median.The mode is consistently less than the mean and median in a positively skewed distribution.A continuous probability distribution having two distinct modes, that is, two separate values with the highest and equal frequencies is referred to as a bimodal distribution.Thus, a data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.
The given question is incomplete. The complete question is:
"Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as:
A. Symmetric distribution
B. Negatively skewed distribution
C. Positively skewed distribution
D. Bimodal distribution."
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The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached...... How much money would the person earn in that time
Answers
The maximum salary reached in 5th month.
What is Arithmetic Progression?
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant
For the first year, salary = 1,200,000
For the second year, salary
= 1,200,000 + 75,000 = 1,275,000
For the last year, salary = 1,500,000
We get the AP as
1,200,000, 1,275,000, .... , 1,500,000
a= 1,200,000 and d = 75000
Now using
L = a + (n - 1)d
1,500,000 = 1,200,000 + (n-1) 75,000
300,000 = 75,000(n-1)
300000/75000= n-1
4= n-1
n= 5
Hence, in the 5th year the maximum salary will be reached.
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1. SPORTS Hector wants to buy a new football. He initially thought it would cost $36, but when he went to the sporting goods store it was discounted 20%. What is the sale price of the football? 1. SPORTS Hector wants to buy a new football . He initially thought it would cost $ 36 , but when he went to the sporting goods store it was discounted 20 % . What is the sale price of the football ?
Answers
Answer:
It cost Hector $28.8
Step-by-step explanation:
How to find the answer:
36 - 20%
= $28.8
how do you write 0.8 recurring as a fraction?
please can i have an explanation aswell :)
Answers
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.888.. (1) ← multiply both sides by 10
10x = 8.888.. (2)
subtract (1) from (2) thus eliminating the repeating digits
9x = 8 ( divide both sides by 9 )
x = [tex]\frac{8}{9}[/tex]
Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
Prove: The slopes of perpendicular lines are negative reciprocals.
On a coordinate plane, 2 perpendicular lines are shown. Line P Q has points (a, b) and (c, d). Line P prime Q prime has points (negative b, a) and (negative d, c).
The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1
Mark this and return
Answers
The slopes of perpendicular lines are negative reciprocals is proved.
What is Equation of a Straight Line ?An equation of a straight line is given by
y = mx +c
It is given that
Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular.
Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
The slopes of lines PQ and P’Q’ can be determined using the formula
[tex]\rm m = \dfrac{ v _2 - v _1 }{ x _2 -x _1 }[/tex]
The product of these slopes is -1 .
This product shows that the slopes are negative reciprocals
Therefore , The slopes of perpendicular lines are negative reciprocals is proved,
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Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins did she have in all
Answers
Answer:
68 coins
Step-by-step explanation:
We can use the given information to write two equations involving the numbers of coins. One will express the total number of coins; the other will express their value.
__
setupSince there are equal numbers of coins of each type, we can let n represent the number of each kind of coin. The total number coins will be ...
n +n +n +n + N . . . the sum of numbers of nickels, dimes, quarters, halves
The value of the coins is ...
0.05n +0.10n +0.25n +0.50n = 15.30
solutionThe second equation lets us find the value of n:
0.90n = 15.30
n = 17 . . . . . . . . divide by 0.90
Then the number of coins in all is ...
4n = N
4(17) = N = 68
Carmela had 68 coins in all.
B is decreased by 40% and decreased again by 40%. What is the result?
10 pts for anyone who helps!
Answers
Answer:
result is 20%
Step-by-step explanation:
initially B was 100%
therefore 100% - 40%
=60% remaining
60% - 40%
= 20%
Answer:
The answer is 0.36b
Step-by-step explanation:
b-0.4xb=b-0.4b=0.6b
0.6b-0.4(0.6b)=0.6b-0.24=0.36b
What is the vertex of the function f(x)=|x-9|+2
Answers
Answer:
vertex = (9, 2 )
Step-by-step explanation:
given the absolute value function
f(x) = a |x - h | + k
with vertex = (h, k )
then
f(x) = | x - 9 | + 2
has vertex = (9, 2 )
Some people took part in a game. The frequency shows information about their scores. Score Frequency 1 - 7 13 8 - 10 14 11 - 15 18 16 - 20 6 21 - 35 13 36 - 50 19 Estimate the mean. Give your answer rounded to 2 decimal places.
Answers
The mean is 20.7
What is Mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Class Frequency{f} Midpoint of frequency{x} fx
1-7 13 4 72
8-10 14 9 126
11-15 18 13 234
16-20 6 18 108
21-35 13 28 364
36-50 19 43 817
Sum 83 1721
So,
Mean = 1721/83 = 20.7
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What are the minor arcs of O?
Answers
Answer:
3rd answer
Step-by-step explanation:
Pay attention to the arcs, minor arcs are less than 180 degrees
