Fill in the blank.
The light from a lamp casts a shadow of a man standing 10 feet away from
the lamppost. The shadow is 5 feet long. The angle of elevation from the tip
of the shadow to the lamp is 50°. To the nearest foot, the lamppost is _________
feet tall.

Answer:

7

Step-by-step explanation:

15 + 8(2 - 3)

15 + 16 - 24

15 - 8

= 7

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

[tex]\frac{4}{20} = \frac{x}{360}[/tex]

Cross multiply:

[tex]1440 = 20x\\[/tex]

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

Answer:

0

Step-by-step explanation:

Smallest value of C would be when A = - 2 and B = - 2

[tex]\because C = (A - B) ^2 \\ \therefore C = \{ - 2- ( - 2) \}^2 \\ \therefore C = \{ - 2 + 2 \}^2 \\ \therefore C = \{ 0 \}^2 \\ \huge \red{ \boxed{\therefore C = 0}}[/tex]

Answer:

d = 9

Step-by-step explanation:

Calculate the slope of ab then equate to 3.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)

m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

Answer:

A =200.96 in ^2

Step-by-step explanation:

The radius of the circle is 8 in

The area of the circle is

A = pi r^2

A = 3.14 * 8^2

A =200.96 in ^2

Answer:

A is the answer

Step-by-step explanation:

Area of a circle= 3.14*8^2

8^2=64

64*3.14=200.96

Answer:

90 miles per hour is the average speed.

Step-by-step explanation:

The formula for Average Speed can be given as follows:

[tex]\text{Average Speed}= \dfrac{\text{Total Distance Traveled}} {\text{Total Time Taken}}[/tex]

Here time taken is from 1 PM to 4 PM i.e.

Total Time taken = (4-1) hours = 3 hours

Also, it is given that the Total distance covered = 270 miles

As per the formula above:

[tex]\text{Average Speed} = \dfrac{270}{3}\\\Rightarrow \text{Average Speed} = 90\ miles/hour[/tex]

So, answer is: 270 miles/ hour is the average speed of the train from Philadelphia to Boston.

Answer:

threee

Step-by-step explanation:

Answer:

2,000,000,000.

Step-by-step explanation:

We know that when rounding, we take a look at the digit next to the digit we are rounding. So if I were to ask for you to round 122 to the nearest hundred, then the answer would be 100.

Remember that we round down if the digit next to it is 0-4. If the digit is 5-9, then we round up.

In this case, the digit next to the 2 is a 4. We know that we round down with a 4, so we go to the nearest whole billion, in this case 2 billion.

I hope this helps!

Answer:

$10

Step-by-step explanation:

see attachment for the complete question.

140 - 50=90

90 divided by 9 is 10  

Therefore,the cost of shoes per person is $10.

Answer:

6 times 7 times 8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The Other Dimension:

2/3 divided by 1 1/2 = 2/3 x 3/2 = 1

Hope this helps

Ps. I have taken the dimension length to be  a mixed number, because they were farther apart. please let me know if wrong

Answer:

The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

hope this helps

correct me if this is wrong

Answer:

False

Step-by-step explanation:

See how the bottom of the line F(x) just drops off? That means there isn't an even decline, meaning even the inverse would have an uneven slope.

This line cannot be a function, no matter which way you turn it.

Answer:

false

Step-by-step explanation:

f is  on the Opisite side.

Answer:

[tex]4000[/tex]

Step-by-step explanation:

[tex]8949-5324[/tex]

[tex]=3625[/tex]

Answer:

true

Step-by-step explanation:

is it true? i am not sure

Answer: [tex]12\ mph[/tex]

Step-by-step explanation:

Given

First cyclist travels [tex]3\ miles[/tex] in [tex]15\ min[/tex]

Then, [tex]7\ miles[/tex] in [tex]35\ min[/tex]

Average speed is given by [tex]=\dfrac{\text{Distance}}{\text{time taken}}[/tex]

[tex]V_{avg}=\dfrac{3+7}{15+35}[/tex]

[tex]V_{avg}=\dfrac{10}{50}=\dfrac{1}{5}\ mile/min[/tex]

[tex]V_{avg}=\dfrac{1}{5}\times 60\ miles/hr[/tex]

[tex]V_{avg}=12\ mph[/tex]

Thus cyclist speed is [tex]12\ mph[/tex]

Step-by-step explanation:

replace x with y and y with x

Answer: 16, rational

Step-by-step explanation: because its a real number

Answer:

The answer is "Expression: x+(x+2)".

Step-by-step explanation:

Given:

The sum of two consecutive even numbers

Proving:

Let,

The First number is = x

The second consecutive number is = x+2

Calculating value by adding value:

Expression:

[tex]\Rightarrow x+(x+2)\\\\[/tex]

when x= 1, 2, 3 .... it gives:

[tex]\Rightarrow 1+(1+2)= 1+3=4\\\\\Rightarrow 2+(2+2)= 2+4=6\\\\\Rightarrow 3+(3+2)= 3+5=8\\[/tex]

That's why the sum of consecutive numbers is even.

Answer:

5.25 pounds

Step-by-step explanation:

We know that 16 ounces  = 1 pound

Divide 84 ounces by 1 pound

84/16 = 5.25 pounds

Answer:

[tex]5.25 \: \: pounds[/tex]

Step-by-step explanation:

[tex]1 \: \: pounds = 16 \: ounces \\ [/tex]

so,

[tex]84 \: \: ounce = 5.25 \: \: pounds[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle

the slant height is equivalent to the hypotenuse

the height is equivalent to the opposite

while the base(half) is the adjacent

Given

the base of the pyramid= [tex]22.2 in[/tex]

the adjacent is = [tex]\frac{22.2}{2} = 11.1 in[/tex]

the slant height (hypotenuse)= [tex]88.2 in[/tex]

we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').

[tex]c^2=a^2 + b^2[/tex]

[tex]hyp^2=opp^2+adj^2[/tex]

substituting we have

[tex]88.2^2=opp^2+11.1^2\\opp^2= 88.2^2-11.1^2\\opp^2=7779.24-123.21\\opp^2=7656.03\\opp=\sqrt{7656.03} \\opp=87.498\\opp=87.50 in[/tex]

Answer:

107.8

Step-by-step explanation:

1 decimal point is the tenths place, thus we have 107.8

Answer: ([tex]\frac{-5 +\sqrt{5} }{2}[/tex], 0), ([tex]\frac{-5 -\sqrt{5} }{2}[/tex], 0)

Step-by-step explanation: Let me know if you need an explanation.

Answer:

She scored on 33 of them

Step-by-step explanation:

You take 150 and multiply it by .22. which is 22%

Answer:

15/4 OR 3 whole number 3/4

Step-by-step explanation:

Answer:

b=0.5

and the other part is:

B.) The graph shows exponential decay

D.) The graph shows y=2^x reflected over the y-axis

Step-by-step explanation:

i just did this problem on edge 2020

Answer: 0.5, B&D

Step-by-step explanation:

Answer:

Step-by-step explanation:

28x-12y=16 and -6x-12y=3

or

14x-6y=4 and -14-28y=1

or

-28x-12y=16 and 28x-56y=14

Answer:

Just follow the guideline given below.

Step-by-step explanation:

To solve values of x by factoring, you need to follow these steps:

1. Move all terms to one side of the equation, usually the left, using addition or subtraction.

2. Factor the equation completely.

3. Set each factor equal to zero, and solve it.

4. List each solution from 3 as a solution to the original equation.

You usually end up with an answer like x =.. or x = ... and so on.