In the diagram a person who is 6 ft tall is standing on the ground 3 ft away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles. DIO 16 ft P + 3 ft + 18 ft- Not drawn to scale Which proportion can be used to find h, the height of the building in feet?


What is the answer?​

Answer:

[tex]\huge\boxed{\sf x = 16}[/tex]

Step-by-step explanation:

Using Pythagoras Theorem since it is a right angled triangle.

Where,

Base = 12

Perpendicular = x

Hypotenuse = 20

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]

[tex](20)^2=(12)^2+x^2\\\\400 = 144 + x^2\\\\Subtract \ 144 \ to \ both \ sides\\\\400-144=x^2\\\\256 =x^2\\\\Take\ Sq. \ root\ on \ both \ sides\\\\\sqrt{256} =x^2\\\\16 = x\\\\x = 16\\\\\rule[225]{225}{2}[/tex]

Answer:

It got cut off, but the approximate y intercept is 3 and slope intercept form is

y = x + 3 and I used the points 0,3 and 3,6 to calculate the slope using the slope equation y1 - y2/x1 - x2

Hope this helped and brainliest please!

Answer:

1.) A=Bh-Bh=First Image

2.)A=Bh- πr^2=3rd Image

3.)A=BH + BH/2= Bottom image

4.)A=bh+ bh/2 + πr^2/2= 2nd image

Step-by-step explanation:

Hope this helps! :)

Answer:

107°

Step-by-step explanation:

Answer:

i know im amazing

Step-by-step explanation:

Answer:

Awwwww thank you!!! Your worth more than the stars above. THANKS FOR THE POINTS!!!!

Step-by-step explanation:

P.S. I love your pfp!!!!

Answer:

A

Step-by-step explanation:

Area of a rectangle =

[tex](3x - 8)(x + 2) = 3x {}^{2} + 6x - 8x - 16 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x {}^{2} - 2x - 16[/tex]

Hence, we choose A.

Answer: MN = 8.5

Step-by-step explanation:

Form it into a right triangle with MN being the hypotenuse (side opposite the right angle)

To make this a right triangle, plot a point at (8,-2) and connect the sides. The lengths of the legs that form the right angle are both 6 units. Use the Pythagorean theorem to solve for length of MN. a^2+b^2=c^2. (a and b are the legs that form the right angle and c is the hypotenuse)

6^2+6^2=c^2

36+36=c^2

72= c^2

8.48528137 = c.

Question says to round to nearest tenth of a unit

8.5 = c (line MN)

Answer:

(-4, 2)

Step-by-step explanation:

X+4=0

x= - 4

When you get this value, you have the x value of the minimum. That's because you have made the x value 0. Any other value will turn the y value into a number greater that 2.  In other words, the absolute value is larger than 0, so the y value is greater than 2.

The vertex is (-4,2) .  I have enclosed a graph to show what this will look like when graphed.

Don't do anything until I check this. I'm using my phone.  You are the first person I have tried to use my phone on. It's not as good as my computer. This is the final answer.

Answer:

the top dot is at .....y, 4, -1

the bottom dot is at .......x, 1, -4

the top dot is in the area y and therefor the numbers for it are 4, -1

the bottem dot is in teh area x and therefor the numbers for it are 1, -4

Answer:

The age of the pottery bowl is 10523 years.

Step-by-step explanation:

Amount of substance:

The amount of a substance after t years is given by the following equation:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate.

Half-life of C14.

Researching, the half-life of c-14 is 5730 years.

This means that:

[tex]A(5730) = 0.5A(0)[/tex]

We use this to find r. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{5730}[/tex]

[tex](1-r)^{5730} = 0.5[/tex]

[tex]\sqrt[5730]{(1-r)^{5730}} = \sqrt[5730]{0.5}[/tex]

[tex]1 - r = 0.5^{\frac{1}{5730}}[/tex]

[tex]1 - r = 0.99987903922[/tex]

So

[tex]A(t) = A(0)(0.99987903922)^t[/tex]

Age of the pottery bowl:

We have that:

[tex]A(t) = 0.28A(0)[/tex]

We have to find t. So

[tex]A(t) = A(0)(0.99987903922)^t[/tex]

[tex]0.28A(0) = A(0)(0.99987903922)^t[/tex]

[tex](0.99987903922)^t = 0.28[/tex]

[tex]\log{(0.99987903922)^t} = \log{0.28}[/tex]

[tex]t\log{0.99987903922} = \log{0.28}[/tex]

[tex]t = \frac{\log{0.28}}{\log{0.99987903922}}[/tex]

[tex]t = 10523.1[/tex]

So

The age of the pottery bowl is 10523 years.

Answer:

Bru I’m in ur class and it’s The median

Step-by-step explanation:

It’s the median

Out of all the options listed, the only one that does not show variation (spread) is the median.

The median is simply used to show the medium value of a data set. It cannot be used to tell the variation because it does not take into account all the values but rather the middle one alone.

The other options are wrong because:

In conclusion, only the median does not help with finding the variation of a dataset.

Find out more at https://brainly.com/question/11283325.

Answer:

64 inches

Step-by-step explanation:

Given :

(Joe's height / Joe's shadow) = (Martha's height / Martha's shadow)

Let Martha's height = h

72 in / 108 in = h / 96 in

Cross multiply :

108 * h = 72 * 96

h = (72 * 96) / 108

h = 6912 / 108

h = 64 inches

Martha is 64 inches tall.

Answer:

20%

Step-by-step explanation:

Use the formula:

The "|" symbol represents absolute value and the dashed line represents a division line.

                         | Theoretical Value - Actual Value |

Percent Error = --------------------------------------------------   × 100

                         |              Theoretical value              |

100 - 120 = -20

-20 / 100 = -0.2

|-0.2| = 0.2

0.2 × 100 = 20

The answer is 20%

Answer:

They will be at the same position after 2 hours.

Step-by-step explanation:

Here, it should be asked the time it will take for Anita to catch Brad.

Anita began riding at start of the path and is riding at rate of 18 mile per hour.

This means that, after t hours, her position will be given by:

[tex]A(t) = 18t[/tex]

Brad begin from a sport 10 mile ahead of her and I riding at rate of 13 mile per hour

This means that, after t hours, his position will be given by:

[tex]B(t) = 10 + 13t[/tex]

After how much time will they be at the same position?

This is t for which:

[tex]A(t) = B(t)[/tex]

So

[tex]18t = 10 + 13t[/tex]

[tex]5t = 10[/tex]

[tex]t = \frac{10}{5}[/tex]

[tex]t = 2[/tex]

They will be at the same position after 2 hours.

Answer:

d. 6

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation:

Number of students in Jacob's homeroom = 20.

Number of students who bring their lunch to school = 5

Since the rest eat lunch in the cafeteria, the number of those who eats in the cafeteria will be:

= 20 - 5

= 15

Fraction that eats in the cafeteria will be: = 15/20 = 3/4

Answer:

y = 1250(1 + .06)11

Step-by-step explanation:

Answer:

2372.87

Step-by-step explanation:

Y=1250(1.06)11

Answer:

mn(5mn² + 9) ;

2mn(1 - 1/2mn²)

Step-by-step explanation:

Given:

5m²n³ +9mn

(8mn - 4m²n³ ÷ 4)​

5m²n³ + 9mn

mn(5mn² + 9)

(8mn - 4m²n³ ÷ 4)​

8mn/ 4 - 4m²n³ / 4

2mn - m²n³

2mn(1 - 1/2mn²)

The number of oranges in the shipment can the manager predict weighing 5 ounces will be 56. Then the correct option is B.

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

A grocery store receives a shipment of 700 oranges. The manager randomly selects 25 oranges to weigh. In that sample, 2 oranges weigh 5 ounces.

Then the probability of the oranges that weigh 5 ounces is given as,

p = 2/25

Then the number of oranges in the shipment can the manager predicts weigh 5 ounces will be given as,

E(x) = 700 x 2 / 25

E(x) = 28 x 2

E(x) = 56

The number of oranges in the shipment can the manager predict weighing 5 ounces will be 56. Then the correct option is B.

More about the expected value link is given below.

https://brainly.com/question/13945225

#SPJ6

Answer:

69.993

Step-by-step explanation:

Using the percentage error formula:

Percentage error = (true - measured value / true measurement ) * 100%

1% error in measurement

1% of 69.3

0.01 * 69.3 = 0.693

True measurement = error in measurement + measured value

True measurement = 0.693 + 69.3

Actual measurement = 69.993

Hence, actual measurement = 69.993.

Answer:

y = (75x + 500)

Step-by-step explanation:

To find the linear model,

Let y = monthly balance of the savings

x = months of the savings

With savings account with $500 which is fixed

deposits = $75

Then the model is

y = (75x + 500)

Answer:

i got 9.1 pounds on my calculator

Answer:

A

Step-by-step explanation:

Answer:

ans is 135

Step-by-step explanation:

Is it necessary for explanation?

if so comment

Answer:

A)256stickers

B)8 stickers each

C)= 6 boxes

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

Mrs. Kim bought 4 boxes of stickers at the store to share with her students. Each box contained64 stickers.

Part A

Enter the total number of stickers Mrs. Kim bought at the store.

(b)

Part B

Mrs. Kim wants to share the stickers equally with each of her students. There are 32 students in her class.

Enter the number of stickers that each student will get.

8 stickers each

(c)

Part C

How many more boxes of stickers does Mrs. Kim need if she wants each of her students to get 12 stickers? Enter the number below.

more boxes of stickers

A) 4× 64 stickers= 256stickers

B,) 256stickers/ 32 students

=8 stickers each

C)if she wants each of her students to get 12 stickers?

Let the total number of stickers = X

X/32 students = 12 stickers

X= 32 ×12

= 384 stickers

Number of boxes= 384 stickers/64 stickers

= 6 boxes

Answer:

54 degrees

Step-by-step explanation: