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2 years ago

8

Find the distance between (8,-4) and (4,3)

1 answer:

stich3 [128]2 years ago

4 0

Answer:

sqrt65

Step-by-step explanation:

I think this is the answer

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Changle. Show all work. Round each length to the nearest tenth and each angle to the

Sedaia [141]

Answer:

Part 1) $BC=12.2\ units$

Part 2) $m\angle A=55^o$

Part 3) $m\angle C=35^o$

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=7^2+10^2$

$AC^2=149\\AC=12.2\ units$

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

$tan(A)=\frac{BC}{AB}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{10}{7}$

using a calculator

$m\angle A=tan^{-1}(\frac{10}{7})=55^o$

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

$m\angle A+m\angle C=90^o$ ----> by complementary angles

substitute the given value

$55^o+m\angle C=90^o$

$m\angle C=90^o-55^o=35^o$

8 0

3 years ago

what expression represents the following problem: A glass holds 1/ 4 liters of liquid. How many glasses of liquid are in 5 liter

maxonik [38]

20... 5÷ 1/4 $20/ \frac{1}{4}$

3 0

3 years ago

Ms. drake invests $1000 at a simple interest rate of 8.5% for 2 years. how much interest will she earn in this time?

PilotLPTM [1.2K]

Ms. Drake will earn $\$ 170$ in this time from the investment of $\$ 1000$ at a simple interest with rate of interest $8.5\%$

<h3>What is the definition of simple interest?</h3>

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Conversely, for compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Formula for finding simple interest is $\frac{principal \times rate \ of \ interest \times time}{100}$

Given principal of Ms. Drake is $\$1000$

Rate of interest is $8.5 \%$

Time is $2$ years.

Interest $=\frac{1000 \times 8.5 \times 2}{100}$

$=\frac{17000}{100}\\=170$

Therefore, Ms. Drake will earn $\$ 170$ in this time.

To learn more about simple interest from the given link

brainly.com/question/7639734

#SPJ4

7 0

1 year ago

Together donkey and Shrek can make 7 cupcakes in 12 mins. Shrek can make 2 cupcakes in 8 mins. How long will it take Donkey to m

katrin [286]

Multiply 7 x 12 which is 84, 8x2 is 16, 16 divded by 3 is 5, so 5 minutes

3 0

2 years ago

552945 rounded to the nearest hundred thousand

andre [41]

The answer is 600,000

6 0

2 years ago

Read 2 more answers