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3 years ago

5

A climber who is 6 feet tall, casts a shadow that is 20 feet tall, at the same time that a tree casts a shadow which is 90 feet

long. How tall is the tree? (Type your answer as a whole number followed by the unit abbreviation, like this example: 12 ft.)

2 answers:

Agata [3.3K]3 years ago

8 0

The tree is about 27.3 ft. tall.

Trava [24]3 years ago

6 0

27. Ft. hopes this helps

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Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor

Firdavs [7]

Answer:

321/8 ft^2

Step-by-step explanation:

The whole area is 49/4 × 5 = 245/4 ft^2

The area of tiled floor is 13/2 × 13/4 = 169/8

245/4 - 169/8 we need to equalise the bottom of fraction to subtract so

2/2 × 245/4 = 490/8

490/8 - 169/8 = 321/8 ft^2

7 0

3 years ago

2b + 8 − 5b + 3 = -13 + 8b − 5<br><br><br><br> b = __

Bumek [7]

Answer:

b= 29/11

Step-by-step explanation:

2b+8−5b+3=−13+8b−5

Step 1: Simplify both sides of the equation.

2b+8−5b+3=−13+8b−5

2b+8+−5b+3=−13+8b+−5

(2b+−5b)+(8+3)=(8b)+(−13+−5)(Combine Like Terms)

−3b+11=8b+−18

−3b+11=8b−18

Step 2: Subtract 8b from both sides.

−3b+11−8b=8b−18−8b

−11b+11=−18

Step 3: Subtract 11 from both sides.

−11b+11−11=−18−11

−11b=−29

Step 4: Divide both sides by -11.

−11b/−11 = −29/−11

b= 29/11

4 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

a_sh-v [17]

For AC:
AC= root((a-0)^2 + (b-0)^2)
AC= root((a)^2 + (b)^2)
For BD:
AC= root((a-0)^2 + (0-b)^2)
AC= root((a)^2 + (-b)^2)
AC= root((a)^2 + (b)^2)

Therefore,
AC=BD

8 0

3 years ago

What are the values of the three Trigonometric ratio for angle L, in simplest form

bulgar [2K]

$\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\\tan\theta=\dfrac{opposite}{adjacent}$

$opposite=20\\\\adjacent=15\\\\hypotenuse=25\\\\\sin L=\dfrac{20}{25}=\dfrac{4}{5}\\\\\cos L=\dfrac{15}{25}=\dfrac{3}{5}\\\\\tan L=\dfrac{20}{15}=\dfrac{4}{3}$

3 0

4 years ago

Read 2 more answers

You invest $1200 and it grows at a rate of 7% for 5 years. Which expression gives the value of your investment?

finlep [7]

The expression gives the value of your investment is $A=1200(1.07)^{5}$

The value of investment after 5 years is $ 1683.06

<em><u>Solution:</u></em>

Given that You invest $1200 and it grows at a rate of 7% for 5 years

To find: Expression that gives the value of your investment

From given information,

Principal = $ 1200

rate of interest = 7 %

number of years = 5 years

The formula for compound interest, including principal sum, is:

$A=p\left(1+\frac{r}{n}\right)^{n t}$

Where,

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Assuming interest is compounded annually, n = 1

$r = 7 \% = \frac{7}{100} = 0.07$

Substituting the values we get,

$A=1200\left(1+\frac{0.07}{1}\right)^{1 \times 5}$

$\begin{aligned}&A=1200\left(1+\frac{0.07}{1}\right)^{1 \times 5}\\\\&A=1200(1.07)^{5}\\\\&A=1200 \times 1.402=1683.06\end{aligned}$

Thus the value of investment after 5 years is $ 1683.06

7 0

4 years ago