if you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building?​

Answer:

Step-by-step explanation:

An investment banker received a bonus and invested that money in two investments. He put a certain sum

of money in the first investment that returned 7% interest after one year. In the second investment he

Invested four times that of the first investment and got a 12% interest return after one year. If the total

interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.

Answer:

x= 40°

Step-by-step explanation:

since the angles of the quadrilateral add up to 360°

then to find the agle x:

step:1

add alll the angles given in the quadrilateral

100+120+100

= 320

step:2

now subtract the sum of the quadrilateral from the sum of alll angles

360°-320° = 40°

therefore the answer equates to 40°

Answer:

360-(100+120+100)

360-320

40

Answer:

h = 17 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁ , b₂ the parallel bases

Here A = 408, b₁ = 20, b₂ = 28 , then

[tex]\frac{1}{2}[/tex] h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )

48h = 816 ( divide both sides by 48 )

h = 17

Answer:

by using exterior angle property I.e. sum of opposite interior angles are equal to the exterior angle

w = 50 + 50

= 100

Answer:

14

Step-by-step explanation:

7(8-6)

So, PEMDAS

7(2)= 14

14 is the answer.

Answer:

$198

Step-by-step explanation:

Take 220 then multiply it by .10 (10%)=22

Then subtract that from 220

220*.10=22

220-22=198

Answer:

1

Step-by-step explanation:

Hope This helps! : )

Answer:

the answer i got is 10

im taking the same test right now

Step-by-step explanation:

Answer:

[tex]x=4;\ y=4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x=4[/tex] since it is an isosceles triangle.

[tex]y=\sqrt{4^2+4^2}=\sqrt{32}=4\sqrt{2}[/tex] due to Pythagoras' theorem.

Answer:

Step-by-step explanation:

Dimensions:

Area is:

Answer:

hello your question is incomplete attached below is the complete question

answer : option A

Step-by-step explanation:

The correct box-and-whisker plot is option A

75% is between 1st quartile and maximum value ( age )

also given that No one is older than 36 years and About 50% of the member are at least 28 years hence option A is the correct Box and whisker plot

The exponential function is given by f(x) = 7ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value of y, b is the multiplier, y and x are variables.

Given the y-intercept is (0,1), hence:

1 = ab⁰

a = 1

Also f(2) = 49, hence:

49 = (1)(b)²

b = 7

The exponential function is given by f(x) = 7ˣ

Find out more on Exponential Function at: https://brainly.com/question/12940982

Answer:

321.68feet

Step-by-step explanation:

Given the following

Top of the house above the sea level  = 150feet = opposite

Angle of elevation = 25°

Required

Distance from the boat to the base of the house(adjacent)

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 25 = 150/d

d = 150/tan25

d = 150/0.4663

d = 321.68

Hence the required distance is  321.68feet

Answer:

2.5

Step-by-step explanation:

Answer:

2.5%

Step-by-step explanation:

Convert fraction (ratio) 2 / 80 Answer: 2.5%

Answer:

Man yur tripping playstation better jhit

Step-by-step explanation:

Answer:

Simplifying

8x + 17 = 137

Reorder the terms:

17 + 8x = 137

Solving

17 + 8x = 137

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17' to each side of the equation.

17 + -17 + 8x = 137 + -17

Combine like terms: 17 + -17 = 0

0 + 8x = 137 + -17

8x = 137 + -17

Combine like terms: 137 + -17 = 120

8x = 120

Divide each side by '8'.

x = 15

Simplifying

x = 15

Answer:

0.068 or 6.826%

Step-by-step explanation:

In order to calculate the proportion of disks that are defective, we need to divide the number of defective disks by the total amount of disks that were chosen in the given sample. Using the data provided this would be the following calculation...

37 / 542 = 0.068

We can multiply this by 100 to get the percentage value

0.068 * 100 = 6.826%

Therefore, roughly 6.826% of the entire disk population would be defective.

Answer:

Step-by-step explanation:

It would be greater than 100 and 150. 250% of 44 is negative because 100% of 44 is 0.

Answer:

C

Step-by-step explanation:

the inverse of x+3 is x-3

The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x)= x + 3

Now, We can find the inverse function as;

⇒ f (x) = x + 3

⇒ y = x + 3

Solve for x;

⇒ x = y - 3

Substitute y = x and x = h (x);

⇒ h (x) = x - 3

Thus, The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

Learn more about the function visit:

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#SPJ7

Answer:

2x-6

Step-by-step explanation:

4(3x-5)-2(5x-7)

(12x-20)-(10x-14)

12x-20-10x+14

12x-10x-20+14

2x-6

Answer:

=> first multiply the numbers in bracket

4(3x-5)-2(5x-7) when we multiply for 4 and -2

12x-20-10x+14

=> then collect the like terms

12x-10x-20+14

=> 2x-6

Answer:

36%

Step-by-step explanation:

34-25=9

9/25=36%

Answer:

The shape that has the smallest standard deviation is;

Uniform distribution

Step-by-step explanation:

A uniform distribution is a probability distribution where the outcomes are equally likely such as the probability of landing any face of a die, or the probability of landing a head or a tail, or a perfect random number distribution

Therefore, the outcome of a uniform distribution are all the same and the standard deviation is zero (0)

Therefore, the uniform distribution has the smallest standard deviation.

Answer:

B. 15

Step-by-step explanation:

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.3" was replaced by "(113/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    b-((113/10))>0  

Step by step solution :

STEP

1

:

           113

Simplify   ———

           10  

Equation at the end of step

1

:

      113

 b -  ———  > 0  

      10  

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

         b     b • 10

    b =  —  =  ——————

         1       10  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • 10 - (113)     10b - 113

——————————————  =  —————————

      10              10    

Equation at the end of step

2

:

 10b - 113

 —————————  > 0  

    10    

STEP

3

:

3.1    Multiply both sides by  10  

3.2    Divide both sides by  10  

     b-(113/10)  > 0

Solve Basic Inequality :

3.3      Add  113/10  to both sides

            b > 113/10

Inequality Plot :

3.4      Inequality plot for

        b  - 11.300  >  0

One solution was found :

b > 113/10

Which number is a solution of the inequality?

b > 11.3

The answers are 15,9,-14, and 4

15

Answer:

The possible locations are;

(3, 4), (3, 12), (7, 4), and (7, 12)

Please find attached the plot of the points created with Microsoft Excel      

Step-by-step explanation:

The given parameters of the plot of Oliver's backyard are;

The area of the right triangular plant bed Oliver wants to design, A = 8 yd²

The length of a/each unit of the plot = 1 yard

The location of one of the vertex of the right triangular area = (3, 8)

The location of the other vertex of the right triangular area = (7, 8)

We note that the area of a triangle, A = 1/2 × Base length, B × Height, h

Let the distance between the two plotted point represent the base length, 'B', therefore;

B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;

Therefore, the base length, B = 4 yards

A = 1/2 × B × h

∴ A = 8 yd.² = 1/2 × 4 yd. × h

h = 8 yd.²/ 2 yd. = 4 yd.

The height of the right triangle, h = 4 yd.

Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;

(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).

Answer:

3,4 7,4

Step-by-step explanation:

Answer:

4/3 or 1 1/3

Step-by-step explanation:

Answer:

The expression is A that is -b

Answer:

408

Step-by-step explanation:

12×34

12×34

48+360

408

Answer:

408

Step-by-step explanation:

you put 12 on top and you put 34 on the bottom then you have 12x 34 then you multiply it

4/14 does not = 6/20

2/12 does not = 3/18

Thus, NEITHER is the answer.

Answer:

I think the surface area is 382.

Answer:

3rd option:  2 1/2 ÷ 1/6

Step-by-step explanation:

2 1/2 ÷ 1/6 = 5/2 × 6/1 = 15mph