16) Jenna is responsible for changing the broken light bulb in a streetlamp. The streetlamp is 14 feet high. Jenna places the base of her ladder 3 feet from the base of the streetlamp. Jenna can extend the ladder from 10 feet to 14 feet. How long must her ladder be to reach the top of the streetlamp? Will her ladder work?​

Answers

Answer 1

Use the Pythagorean theorem:

Height is 14, base is 3, so we can calculate the length required.

Length = sqrt(14^2 + 3^2)

Length = sqrt( 196 + 9)

Length = sqrt(205)

Length = 14.32 feet.

The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.

Answer 2

Answer:

14.32 is ur awnser

Step-by-step explanation:


Related Questions

Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3

Answers

Answer:

no

Step-by-step explanation:

n ≥ - 1

The inequality states that n is greater than or equal to - 1

To show the equal part on the number line the point at - 1 must be a solid circle, not an open one

No, the given number line does not represent the number line shown by Charles.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

The inequality is given by Charles,
n ≥ -1

But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.

Thus, the given number line does not represent the number line shown by Charles.

Learn more about number line here:

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NO LINKS The circumference of a circle is 36 feet. What is the length of the radius of this circler
O 9 ft
18 ft
36 ft
O 72 ft

Thank you so much for your help! :)

Answers

18ft ..................

Answer:

18ft

Step-by-step explanation:

Formula of circumference * r x r x 3.14* or d x 3.14*

:DDD And ye glad I could help!

Exam
The blueprint's scale is
1 inch : 9 feet. If the gym's
area is 52 square inches on the
blueprint, what is the actual
square footage of the gym?
The area of the actual gym
is_square feet.

Answers

Answer:

4212 square feet.

Step-by-step explanation:

If the blueprint's scale is 1 inch : 9 feet.

Square both sides

(1in)² = (9ft)²

1in² = 81ft²

Given the  gym's  area as 52 square inches, hence;

52in² = x

Divide both expressions

1/52 = 81/x

x = 52 * 81

x = 4212ft²

Hence the area of the actual gym  is 4212 square feet.

An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested

Answers

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

Please help me with full calculations

Answers

Answer:

use formula,

P(x,y)=P'(-y,x)

so.

R(-2,-2)=R'=(2,-2)

S(1,1)=S'(-1,1)

T(-1,-3)=T'(3,-1)

Step-by-step explanation:

plot R,S,T and R',S',T' in the graph

Which one is an example of an expression?

Answers

Answer:

Step-by-step explanation:

5x+5

Answer:

the first option will the correct answer

What is the total area of the figure below?​

Answers

so: to calculate the area of a triangle is equal to (bxh)/2 and for the trapezoid is ((a+b)/2)xh
so for the triangle part we need to substitute each part for the formula (6x8)/2 which is equal to= 24inch^2. While for the trapezoid substituted would end up like this: ((16+10)/2)(9) which equals to 117 inch^2
yo get the total area we need to add both of them and it would end up being 117inch^2 + 24inch^= 141 inch^2

hello please help i’ll give brainliest

Answers

Answer:

Option B) His teachings became government philosophy.

The option is (B). His teaching became gov

Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]x = 5[/tex] ---- 5-hour shift

Required

The expected earnings

The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.

Take for instance, the equation is:

[tex]y = 10x + 2[/tex]

The expected earnings will be:

[tex]y = 10*5 + 2[/tex]

[tex]y = 50 + 2[/tex]

[tex]y = 52[/tex]

Expected Earnings = $52

May I have help to figure out how to do this? It is confusing! :(

Answers

Answer:

it should be 80%

Step-by-step explanation:

I hope this helps

Does anyone know what the answer to this would be?

Answers

Answer: 11

Step by step: Diagnols in a rhombus bisect the angles meaning 2x=22, to solve this we do 22/2=11.

Hope this helps!

Answer:

D

Step-by-step explanation:

Please answer this math question for me

Answers

Answer:

Hello!! answer: a = 45

Step-by-step explanation:

This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!

Answer:

a = 45

Step-by-step explanation:

The total angle of the shape is 90°

That means you should subtract 90° from 45°

90 - 45 = 45

That's your answer!

Hope this helped :)

What is the LCM of 4 and 8

Answers

Answer:

8

Step-by-step explanation:

Let me make a table for you.

4,8,

8,

8 would be your answer.

Let me know if i can help you more!

The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit

Answers

Answer:

452.16 ft²

Step-by-step explanation:

Area = πr² = π(12)² = 144π = 452.16 ft²

х
-
The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20

Answers

Answer:C 3/5

Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math

Please help it’s geometry will mark brainliest!

Answers

Answer:

its 216

Step-by-step explanation:

when it's one the edge the arc is double the angle

Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!

Answers

Answer:

Step-by-step explanation:

V=H x W x  L  so 11.25= H (1.5) (2);  3H=11.25 so the height of one box is 3.75’

To find the volume of 5 stacked boxes multiply the volume of one box by 5.

5(3.75 x 1.5 x 2) which is 20.25 cubic feet.

Is 1/4 squared a rational?

Answers

Answer:

It is a rational.

Step-by-step explanation:

0.25² = 0.0625

It is a rational.

Solve for the value of a in the triangle below. Round your answer to the nearest tenth

Answers

Answer:

........................

Work out
(8×10^-2)−(4×10^-4)
Give your answer in standard form.

Answers

Answer:

7.96 x 10^2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The standard form of [tex]8\times10^{-2} - 4\times10^{-4}[/tex] is [tex]\frac{38}{5000}[/tex].

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, [tex]8\times10^{-2} - 4\times10^{-4}[/tex].

[tex]= \frac{8}{10^2} - \frac{4}{10^4}[/tex].

[tex]= \frac{8}{100} - \frac{4}{10000}[/tex].

[tex]= \frac{80 - 4}{10000}[/tex].

[tex]= \frac{76}{10000}[/tex].

[tex]= \frac{38}{5000}[/tex].

learn more about numerical expressions here :

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This recipe makes 20 cupcakes. Deepak only wants to make 15 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 10 ounces butter 12 ounces sugar 8 ounces flour 4 eggs

Answers

Answer:

9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs

Explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.

12 * 4/5 = 9.6 ounces

10 * 4/5 = 8 ounces

15 * 4/5 =  12 ounces

5 * 4/5 = 4 eggs

What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%

Answers

This gives no information, how many of each were sold

Answer:

im going to say c 55%

Step-by-step explanation: please let me know if its wrong so i can fix it thanks

The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.

Answers

Answer:

1.) 12000

2.) 6750

3.) 2.41

Step-by-step explanation:

Given the Equation :

f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t

When, car was purchased, t = 0

t = 0

f(0) = 12000(3/4)^0

= 12000 * 1

= 12000

2.)

f(2) ; this mean the worth of the car after 2 years :

f(2)=12,000(3/4)^t.

12000(3/4)^2

12000 * 0.5625

= 6750

When car will be worth 6000

f(t) = 6000

f(t)=12,000(3/4)^t.

6000 = 12,000(3/4)^t

6000 / 12000 = (3/4)^t

1/2 = (3/4)^t

Take the log of both sides :

Log(0.5) = log(0.75)^t

log(0.5) = tlog(0.75)

- 0.301029 = - 0.124938t

t = - 0.301029 / - 0.124938

t = 2.4094

t = 2.41 years

The radius of a circle is 7 inches. What is the circle's area?
r=7 in
Use 3.14 for .
square inches

Answers

Answer:

153.86

Step-by-step explanation:

3.14 x (7x7) = 153.86

i need help plz :( i don’t understand

Answers

The period stretches from 0 to pi so the answer should be pi

X+2y=0
12y= -6x

Plzzz this is due 11:59

Answers

Answer:1. X+2y=0 answer:−2y     2. 12y= -6x answer:x=−2y

Step-by-step explanation:

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Answers

Answer:

x=48

Step-by-step explanation:

A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?

Answers

$9.86

explanation:
100-32=68
14.5(.68)

99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove

Answers

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?

Answers

Kim’s is faster because she plants 12 flowers per hour while Bens plants 11 flowers per hour
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