A 25 foot ladder is leaning against a building 11 feet from the top. The base of the ladder is 15 feet from the base of the building. What is the total height, h, of the building?Please format your answer as the following below:

(+ or -) _ _ _ _ . _ _

Answers

Answer 1

Answer:

14.14 ft.

Step-by-step explanation:

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You need a 35% solution. You are going to mix 15 liters of a 27% solution with an amount of a 50% solution. How much of the 50% solution should you use?

Answers

0.34(15+x) = 0.27(15) + 0.5x

x = 8 liters

Estimate a 15% on a dinner bill of $87.21. By first rounding the bill amount to the nearest ten.

Answers

87.21 rounded to the nearest 10 would be $90

tip = 90 x 0.15 = $13.50

The answer would be 69.13... and btw because this is money I rounded to the nearest hundreth:)

PLEASEE HURRY!!!!!!!! Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Equation 1: (x – 3)2 = y – 4
Equation 2: y = -x + b
In order for Tom’s thinking to be correct, which qualifications must be met?
A: b must equal 7 and a second solution to the system must be located at the point (2, 5).
B: b must equal 1 and a second solution to the system must be located at the point (4, 5).
C: b must equal 7 and a second solution to the system must be located at the point (1, 8).
D: b must equal 1 and a second solution to the system must be located at the point (3, 4).

Answers

Answer:

Option A: b must equal 7 and a second solution to the system must be located at the point (2, 5)

Step-by-step explanation:

step 1

Find the vertex of the quadratic equation

The general equation of a vertical parabola in vertex form is

$y=a(x-h)^2+k$

where

(h,k) is the vertex

we have

$(x-3)^(2)=y-4$

$y=(x-3)^(2)+4$

The vertex is the point (3,4)

step 2

Find out the value of b in the linear equation

we know that

If the vertex is a solution of the system of equations, then the vertex must satisfy both equations

substitute the value of x and the value of y of the vertex in the linear equation

$y=-x+b$

For x=3, y=4

$4=-3+b$

$b=7$

$y=-x+7$

step 3

Find out the second solution of the system of equations

we have

$y=(x-3)^(2)+4$ -----> equation A

$y=-x+7$ ----> equation B

solve the system of equations by graphing

Remember that the solutions are the intersection points both graphs

The second solution of the system of equations is (2,5)

see the attached figure

therefore

b must equal 7 and a second solution to the system must be located at the point (2, 5)

Answer:

Step-by-step explanation:

NEED HELP 15 POINTS!!!

Answers

Circumference = diameter x PI

Circumference = 3.14 x 68 yards = 213.52 yards.

Area = PI x r^2

r = 1/2 the diameter = 1/2 x 68 = 34 yards.

Area = 3.14 x 34^2 = 3.14 x 1156 = 3629.84 yards^2

Maria pies 8 1/3 pounds of beef to make tacos for party. she uses 5/9 pound of beef for each taco, how many tacos can Maria make?

Answers

$number\ of\ tacos=(amount\ of\ all\ beef)/(beef\ used\ for\ one\ taco)\n\nnumber\ of\ tacos=(8(1)/(3))/((5)/(9))=\ \ \ | making\ improper\ fractions\n\nnumber\ of\ tacos=((25)/(3))/((5)/(9))=(25)/(3)*(9)/(5)=15\n\nShe\ can\ make\ 15\ tacos.$

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?a. 1/12
b. 3/4
c. 11/12
d. 1 1/3

Answers

For each cup of milk, we need 3/4 cups of water.

To determine how many cups of water are needed for each cup of milk, we need to find the ratio between the two quantities.

Given that the recipe requires 1/3 cup of milk for each 1/4 cup of water, we can set up a ratio:

(1/3 cup of milk) : (1/4 cup of water)

To make the ratio easier to work with, we can multiply both sides of the ratio by the least common multiple (LCM) of the denominators, which is 12:

12 × (1/3 cup of milk) : 12 × (1/4 cup of water)

4 cups of milk : 3 cups of water

So, for each cup of milk, we need 3/4 cups of water.

To learn more on Fractions click:

brainly.com/question/10354322

#SPJ6

three/fourths cups of water for each cup of milk

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