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4 years ago

Whats the area of the triangle?

Mathematics

1 answer:

Shalnov [3]4 years ago

5 0

Answer:

Area ≈ 22 in²

Step-by-step explanation:

Finding ST (Base)

=> Tan 70 = $\frac{opposite}{adjacent}$

Where Opposite = ST and adjacent = 6

=> 1.22 * 6 = ST

=> ST = 7.33 in

Now, Finding the area:

=> Area = $\frac{1}{2} (Base)(Height)$

Where Base = 7.33, Height = 6

=> Area = 1/2 (7.33)(6)

=> Area = (7.33)(3)

=> Area ≈ 22 in²

You might be interested in

A hair care company makes three batches of scented shampoo using the recipe shown. Each batch contains a different total amount

mr_godi [17]

Answer:

Batch 1: Pineapple = 3 1/2; Banana = 1 2/5

Batch 2: Pineapple = 8; Coconut = 4 4/5

Batch 3: Banana = 1; Coconut = 1 1/2

Step-by-step explanation:

For Batch 1:

We know that coconut is 3/10 of the mixture, and we have 2 1/10 coconut:

3/10x = 2 1/10

Converting 2 1/10 to an improper fraction, we have

3/10x = 21/10

Divide both sides by 3/10:

3/10x ÷ 3/10 = 21/10 ÷ 3/10

To divide fractions, flip the second one and multiply:

x = 21/10 × 10/3 = 210/30 = 7

This means we have 7 total of the mixture.

1/2 of this is pineapple: 1/2(7) = 7/2 = 3 1/2

1/5 is banana: 1/5(7) = 7/5 = 1 2/5

For Batch 2:

1/5 of the total is banana; we have 3 1/5 banana:

1/5x = 3 1/5

Convert the second fraction to an improper fraction:

1/5x = 16/5

Divide both sides by 1/5:

1/5x÷1/5 = 16/5÷1/5

Flip the second fraction and multiply:

x = 16/5×5/1 = 80/5 = 16

We have 16 of the total shampoo.

Pineapple is 1/2 of this:

1/2(16) = 8

Coconut is 3/10 of the total:

3/10(16) = 48/10 = 4 8/10 = 4 4/5

For Batch 3:

Pineapple is 1/2 of the total. We have 2 1/2 pineapple:

1/2x = 2 1/2

Convert the fraction on the right to improper:

1/2x = 5/2

Divide both sides by 1/2:

1/2x÷1/2 = 5/2÷1/2

Flip the second fraction and multiply:

x = 5/2×2/1 = 10/2 = 5

We have 5 total shampoo.

Banana is 1/5 of this:

1/5(5) = 1

Coconut is 3/10 of this:

3/10(5) = 15/10 = 1 5/10 = 1 1/2

4 0

3 years ago

Read 2 more answers

The selling price of a refrigerator, is $ 796.40 . If the markup is 10 % of the dealer's cost, what is the dealer's cost of

8_murik_8 [283]

The final price (what it is selling for) is $796.40

The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.

We need to find the original price.

We write this as an equation

The original price *110% = final price

This is because the original price is itself (100%) added with 10%

Plug in the known final price

Original Price * 110% = 796.40

Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.

Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)

110% = 1.1

So it is now

Original price *1.1 = 796.40

Divide both sides by 1.1 to isolate our unknown, the original price

Original price = $724

5 0

4 years ago

How many times does 10 go into 10000

vichka [17]

The correct answer is: 
1000.

Explanation: 
We divide to find the answer to this: $\frac{10000}{10}$ . When we are dividing by 10, we can move the decimal to the left one place; doing this gives us 1000.

6 0

4 years ago

What is 5,272 divided by 8 give the answer step by step

skad [1K]

Answer: 659

Step by step solution:

6 0

3 years ago

Read 2 more answers

How do you write twenty four and sixty nine hundredths in expanded notation

iragen [17]

Answer:

twenty four and sixty nine hundredths

Step-by-step explanation:

expanded notation means you just write it out.

3 0

3 years ago