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andreyandreev [35.5K]

3 years ago

5

Use the above figure to answer the question. What's the angle between the tangents at T in the figure? A. 90° B. 75° C. 60° D. 3

0°

1 answer:

morpeh [17]3 years ago

6 0

A
as the horizontal line and.vertical line meet at 90°

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Please answer! It would be appreciated if work is also shown!

borishaifa [10]

Quantity of paint left = $\frac{389}{480}$ gallons

Solution:

Quantity of yellow paint = $1\frac{1}{5}=\frac{6}{5}$ gallons

Quantity of green paint = $1\frac{1}{6}=\frac{7}{6}$ gallons

Quantity of blue paint = $\frac{7}{8}$ gallons

Quantity of paint used = $\frac{3}{4}$ gallons of each paint

Quantity of paint left = $1-\frac{3}{4}=\frac{1}{4}$ gallons of each paint

Quantity of paint left = $(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}$

Taking LCM for 5, 6, 8, we get LCM = 120

$(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}=(\frac{144}{120}+\frac{140}{120}+\frac{105}{120})\times\frac{1}{4}$

$=(\frac{389}{120})\times\frac{1}{4}$

$=\frac{389}{480}$

Hence, Mark will have $\frac{389}{480}$ gallons of paint left after painting the mural.

3 0

3 years ago

Find the area of this figure (50 points)

Softa [21]

Answer:

$A_{total} = 14\ in^2$

Step-by-step explanation:

<u>Step 1: Determine the area of the left rectangle</u>

We can tell that the total shape seems like two rectangles glued together. We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them. Lets first solve the left rectangle.

$A = l * w$

$A_{left\ rectangle} = 2\ in * 4\ in$

$A_{left\ rectangle} = 8\ in^2$

<u>Step 2: Determine the area of the right rectangle</u>

$A = l * w$

$A_{right\ rectangle} = 3\ in * 2\ in$

$A_{right\ rectangle} = 6\ in^2$

<u>Step 3: Determine the total area</u>

$A_{total}=A_{left\ rectangle} + A_{right\ rectangle}$

$A_{total} = 8\ in^2 + 6\ in^2$

$A_{total} = 14\ in^2$

Answer: $A_{total} = 14\ in^2$

4 0

3 years ago

Read 2 more answers

Use the formula for compound interest, a P 1 i n = ^ h + , to determine how many years it will take for an investment of W10 000

Sergeu [11.5K]

The money will be triple after 15 years and 303 days.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given:

Principle (P) = $10,000

The amount will be triple.

So, Amount (A) = $30,000

Rate (r) = 7% = 0.07

The interest is compounded quarterly.

n = 4

We have to find the value of t.

Let,

$A = P(1+\frac{r}{n})^n^t\\ 30000 = 10000(1+\frac{0.07}{4})^4^t\\\frac{30000}{10000} = (1 + 0.0175)^4^t\\ 3 = (1.0175)^4^t$

Apply logarithm on both sides,

$log(3) = log(1.0175)^4^t\\log(3) = 4t log(1.0175)\\t = \frac{log(3)}{4(log(1.0175))} \\t = \frac{0.4771212547}{4(0.0075344179)} \\t = \frac{0.4771212547}{0.0301376716} \\t = 15.83139$

Hence, the money will be triple after 15 years and 303 days.

To know more about compound interest, click on the link

brainly.com/question/24274034

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6 0

1 year ago

What is 15.39-8.99 plzzzz help

pogonyaev

6.40 is the answer

Brainliest for giving u that help?

8 0

4 years ago

Read 2 more answers

Please help me on this i will give you brainliest

xeze [42]

Answer:

option c. 21+3=y+11

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

4 0

3 years ago

Read 2 more answers