Answer:
[tex]5\sqrt{5}[/tex]
Step-by-step explanation:
A man standing 24 feet from a building observes the angle of elevation of its top to be 38°. Find the height of the building to the nearest tenth.
Answer:
The height of the building is 18.8 feet to the nearest tenth
Step-by-step explanation:
Whenever an elevation problem is given the first step is to try to visualize a triangular path between the objects that are given in the problem.
In this case, we can form a triangular path between the man, the top of the building, and the ground.
The height of the building we are looking for will be the opposite side of the triangle because it is directly facing the angle: 38 degrees.
The distance 24 feet will be the adjacent side of the triangle because it is adjacent to that angle
We can use the Tan trigonometric relationship to find a relationship between the length of the sides of the triangle and the available angles.
[tex]tan 38 = height/24ft[/tex]
[tex]height = 24 \times tan38 = 18.75ft[/tex] approximately 18.8 ft
What is the value of x in the equation 2x + 3y= 36, when y=6
Answer:
x = 9
Step-by-step explanation:
2x + 3(6)= 36
2x + 18= 36
- 18 - 18
2x = 18
divide by 2
x= 9
Put these numbers in orden from greatest to least. 1, 14/35, 7/14, -12/15
Answer:
1, 7/14, 14/35, -12/15
What is the sum of -2 and V-18?
Answer:
V-20
Step-by-step explanation:
(-2) + (-18)= -20
Elizabeth claims that the only square root of 36 is 6. Which statement below disproves Elizabeth’s claim? A) 6 is a factor of 36. B )36 has both even and odd factors. C) The square root of a whole number is sometimes a decimal value. D) The square root of a positive number can be a negative or positive value.
Answer:
D) The square root of a positive number can be a negative or positive value.
Step-by-step explanation:
36 is a perfect square, meaning that the square root of 36 is equivalent to an integer, 6, whereby, the integer 6, when multiplied by itself gives us the perfect square, 36.
i.e. 36 = 6*6 = 6²
√36 = √6² = 6
There are actually two possible square root of 36. That is -6.
Square of, -6², equivalently is -6 * -6 = 36.
Therefore, √36 = ±6.
So, her claim is wrong. 6 is not the only square root of 36.
Square root of 36 could be negative 6 or positive 6.
Help!!! I just need Help on number 6 please!!!!!!!! ASAP!!!
Answer:
[tex]3[/tex]
Step-by-step explanation:
[tex]\sqrt{12} =3.46[/tex] (2 decimal places)
If you want to arrange the tiles into a square, you will need 3.46 in each row/column.
This is physically impossible, hence you round it down to 3.
(If you round it up, you won't have enough tiles since [tex]4*4=16[/tex])
Thus, the square area will be [tex]3*3=9[/tex]
Tiles left: [tex]12-9=3[/tex]
b. 7.901 x 10^12 is written as
in standard form.
The standard form of the number will be 7.90 x 10¹².
What is the standard form of the number?A number can be expressed in a fashion that adheres to specific standards by using its standard form. Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.
Given that the number is 7.901 x 10¹². The number is already in standard form. The number will be written in normal form as below:-
7.901 x 10¹² = 7901000000000
Therefore, the standard form of the number will be 7.90 x 10¹².
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Solve the formula for the specified variable. t= ah for a a= ?
Answer:
[tex]a = \frac{t}{h}[/tex]
Step-by-step explanation:
t = ah
t/h = a
Seths reads 15% of the book in 30 minutes. How much more time will he need to finish reading the book?
Evaluate 1 + b for b = 13.
Answer:
[tex]14[/tex]
Step-by-step explanation:
[tex]1+b[/tex]
We know that [tex]b=13[/tex] so we put that into our equation.
[tex]1+13[/tex]
Add:
[tex]14[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed { \sf{ 14}}}}}[/tex]
Step-by-step explanation:
Given, b = 13
plug the value of b . Thenafter, add the numbers
[tex] \sf{1 + b }[/tex]
[tex] \dashrightarrow{ \sf{1 + 13}}[/tex]
[tex] \dashrightarrow{ \sf{14}}[/tex]
Hope I helped!
Best regards! :D
Consider a student loan of $17,500 at a fixed APR of 6% for 15 years.
a) calculate the monthly payment
b) determine the total amount paid over over the term of the loan.
c) of the total amount paid, what percentage is paid toward the principal and what percentage is paid for the interest.
Answer:
A. $147.67
B. $26,581.49
C. Principal: 65.8352%
C. Interest: 34.1647%
The values:
a) PMT = $147.67.
b) $26580.6
c) Of the total amount paid, 65.84 percentage is paid toward the principal and 34.16 percentage is paid for the interest.
What is a loan calculation formula?The formula:
PV = PMT/i[1 - {1/(1+i)ⁿ]
PV denotes the loan sum.
PMT stands for "monthly payment," I for "interest rate" (interest rate % divided by 12), and "n" for the number of months (term of the loan in months)
Given:
Consider a student loan of $17,500 at a fixed APR of 6% for 15 years.
PV is the loan amount = 17500
PMT is the monthly payment .
i is the interest rate per month in decimal form (interest rate percentage divided by 12)
i = 0.06/12 = 0.005
n is the number of months (term of the loan in months)
n = 180 months.
The monthly payment,
PMT = PV i(1+i)ⁿ/{(1+i)ⁿ-1}
PMT = 17500(0.005)(1.005)⁴⁸/{(1.005)⁴⁸-1}
PMT = $147.67.
The total amount paid over the term of the loan,
= 147.67 x 180 = $26580.6
Of the total amount paid, 65.84 percentage is paid toward the principal and 34.16 percentage is paid for the interest.
Therefore, all the required values are given above.
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Given:
p: 2x = 16
q: 3x - 4= 20
Which is the converse of p - q?
Olf 2x 16, then 3x - 4+20.
O if 3x - 420, then 2x 16.
O If 2x = 16, then 3x - 4= 20.
O If 3x - 4= 20, then 2x = 16.
PLEASE HELP ILL GIVE BRAINLIEST THANKS AND 5 STARS!!!
Answer: it's D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Employee earns $66,000 a year. How much is their bi-weekly gross pay? PLEASE
Answer:
Calculate gross pay, before taxes, based on hours worked and rate of pay per hour including overtime. To enter your time card times for a payroll related calculation use this time card calculator. Gross Pay or Salary: Gross pay is the total amount of money you get before taxes or other deductions are subtracted from your salary.
The expression 3a + 2b + c / d gives the average number of points a team earns in d games by winning a games in regulation, b games in overtime and losing c games in overtime. What is the average number of points earned for a team that wins 10 games in regulation, wins 8 in overtime, loses 6 in overtime, and loses 4 in regulation?
Answer:
8
Step-by-step explanation:
10+8-6-4=8
Luca ha due mele e ne mangia una, quante mele rimangono?
Answer:
A Luca è rimasta una mela.
Step-by-step explanation:
Scusa se è una lingua diversa è tradotto in italiano
The perimeter of the obtuse triangle to the right is 7.2 inches. Two of the three sides are labeled. What is the measurement of the third side?
Answer:
Measure of third side = 2.1 inches
Step-by-step explanation:
Perimeter of any polygon = Sum of lengths of all sides of the polygon
From the figure attached,
Number of sides of the polygon = 3
Therefore, perimeter of a triangle = sum of all three sides of the given triangle
Length of two sides = 1.7 inches and 3.4 inches.
Let the third side = x inches
Perimeter of the triangle = 7.2 inches
By the definition of the perimeter,
7.2 = 1.7 + 3.4 + x
7.2 = 5.1 + x
x = 7.2 - 5.1
x = 2.1 inches
Therefore, third side of the given triangle is 2.1 in.
Patricias normal heart rate is 78 beats per minute. How many times does her heart beat in 3/4 of a minute?
Answer:
58.5
Step-by-step explanation:
1.) Divide 78 by 4
2.) Multiply 19.5 by 3
OR
1.) Change 78 to 78/1
2.) Multiply 78/1 by 3/4
3.) Smile because you got the answer right :)
Her heart beats 58.5 beats in 3/4 of a minute.
We have Patricia's normal heart rate.
We have to determine how many times does her heart beat in 3/4 of a minute.
What is the range of normal Heart rate of a human adult ?A normal resting heart rate for adults ranges from 60 to 100 beats per minute.
According to the question -
Patricia's normal heart rate = 78 beats per minute.
Now - 3/4 of a minute = 3/4 x 60 = 15 x 3 = 45 seconds.
Now -
60 seconds → 78 beats
1 second → (78/60) beats
45 seconds → (78/60) x 45 = 58.5 beats
Hence, her heart beats 58.5 beats in 3/4 of a minute.
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In a local park,a few children were on the monkey bars.the number of children occupying the sides is 1/8 of the number of children playing on the monkey bars,eight children were playing in the sand box if there are 35 children all how many children occupied the slides
Answer: 3 children occupied the slides
10% increase of $29,350?
Answer:
$2,935 increase, which makes $32,285.
Step-by-step explanation:
10% is .10, so just multiply 29,350 by .10 and ger 2,935. Then add it to your inital value.
Four less than three times a number increased by six times the same number is 32
what’s the answer?
-11
-4
—4
-7
Answer:
Step-by-step explanation:
Let the unknown number be x;
for Four less than three times a number, it is expressed as (3x-4)
If the number gotten is increased by six times the same number, the equation becomes 3x-4+6x
If they are all equal to 32 then;
3x-4+6x = 32
We are to look for the value of x from the expression;
3x-4+6x = 32
-4+9x = 32
add 4 to both sides
-4+9x+4 = 32+4
+9x = 36
x = 36/9
x = 4
Hence the answer to the unknown number is 4
What is the midpoint of Line segment A B ?
Answer:
If the segment is horizontal or vertical, you can find the midpoint by dividing the length of the segment by 2 and counting that value from either of the endpoints. Example 1: Given the graph at the right, find the midpoint of and of . AB = 4 units (by counting). The midpoint is 2 units from either endpoints.
Simplify each expression below as much as possible. 6x + 2 - 1 - 4x - 3 - 2x + 2
Work your brain today y'all!!
I had $3.00.
My Mom gave me $10.00.
My Dad Gave me $30.00.
My Aunt & Uncle gave me $100.00.
I had another $7.00.
How much did I have?
Answer:
140?
Step-by-step explanation:
I think its 140 dollars
A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At a 0.05 level of significance, test the claim that atleast half of all voters prefer the Democrat.
Answer:
Z = -1.333
P-value = 0.09176
Decision Rule: Reject [tex]H_o[/tex] if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Step-by-step explanation:
Given that:
The sample size of the poll = 1068
The proportion of voters that preferred Democratic candidate is [tex]\hat p[/tex] = 0.48
To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5
The null hypothesis and the alternative hypothesis can be computed as:
[tex]H_o : p \geq 0.50[/tex]
[tex]H_1 : p < 0.50[/tex]
Using the Z test statistics which can be expressed by the formula:
[tex]Z = \dfrac{\hat p - p}{\dfrac{\sqrt{p(1-p) }}{n}}}[/tex]
[tex]Z = \dfrac{0.48 - 0.5}{\dfrac{\sqrt{0.5(1-0.5) }}{1068}}}[/tex]
[tex]Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.5(0.5) }}{1068}}}[/tex]
[tex]Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.25}}{1068}}}[/tex]
[tex]Z = \dfrac{-0.02}{0.015}[/tex]
Z = -1.333
P-value = P(Z< -1.33)
From z tables,
P-value = 0.09176
The level of significance ∝ = 0.05
Decision Rule: Reject [tex]H_o[/tex] if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
what is the domain of f(x)=3x-4
Answer:
There are no domains so 0
Step-by-step explanation:
The domain of any function is simply all the possible numbers you can input for x
without violating the rules of math.
we cannot have a negative number for x (its against the laws of math), so the domain would be all non-negative numbers
:) Hoped this helped
Express the following in exponential notation:
(-13) X (-13).
35 times
Answer:
[tex](-13) * (-13) = (-13)^{2}[/tex]
[tex]35 * 35 = 35^{2}[/tex]
Step-by-step explanation:
Given
[tex](-13) * (-13)[/tex]
Required
Express as an exponential notation
[tex](-13) * (-13)[/tex]
Apply the following law of indices
[tex]x^a * x^b = x^{a+b}[/tex]
This gives:
[tex](-13) * (-13) = (-13)^{1+1}[/tex]
[tex](-13) * (-13) = (-13)^{2}[/tex]
The second complete is incomplete; However, I'll assume it is: 35 times 35
[tex]35 * 35[/tex]
Using the same law applied in (1) above:
[tex]35 * 35 = 35^{1+1}[/tex]
[tex]35 * 35 = 35^{2}[/tex]
What is the domain and range
of the following relation
{(-9,5), (3,4), (5,7)}
Answer:
Domain { -9,3,5}
Range { 4,5,7}
Step-by-step explanation:
The domain is the input
Domain { -9,3,5}
The range is the output
Range { 4,5,7}
Answer:I’m not smart but the guy above me
Step-by-step explanation:is super smart
Pls help!!!
– x² + 2x - 3y²
when x
=
-4 and y
=
-2
Answer:
-36
Step-by-step explanation:
Step 1: Define
-x² + 2x - 3y²
x = -4
y = -2
Step 2: Substitute and evaluate
-(-4)² + 2(-4) - 3(-2)²
-16 - 8 - 3(4)
-24 - 12
-36
A researcher plans to study the causal effect of police on crime, using data from a random sample of U.S. counties. He plans to regress the county’s crime rate on the (per capita) size of the county’s police force. (a) Explain why this regression is likely to suffer from omitted variable bias. Which variables would you add to the regression to control for important omitted variables
Answer and Step-by-step explanation:
This regression can generate an omitted variable bias, because the researcher did not determine any parameters or real data to measure it. In this case, the researcher determined the crime rate as a dependent variable, but did not establish the facts that influence it and that promote an observable result. In this way, he omitted the independent variable and his research will be inaccurate and incorrect. To control this bias, it is necessary for the researcher to provide a dependent variable such as the level of education in the region, the income distribution in the region, the unemployment rate, the fraction of young men, among others.
