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Phoenix [80]
3 years ago
13

Please help me on this question

Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0
The most precise is 301.4m
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Show how Carly can work out 171/2% of 240 in her head
KATRIN_1 [288]

17 ½ % of 240

First option

Change  the fraction ½ to a decimal. It would be 0.5 ( 1 divided by 2)

½=0.5

You will add the whole number 17 to the result.

17 + 05 = 17.5

Now you will divide by 100 (percent)

17.5 /100  To divide a decimal by 100,  move the decimal point two places to the left.

17.5 /100 = 0.175   times 240

0.175 x 240 = 42

Second option

Change the percent to an improper fraction

17 ½= 35/2 (you have to multiply (2 x 17) plus 1 equals 35 over 2 ( keep the denominator). It will be 35/2.  Put the other number (240) over 100 and multiply.

35/2 x 240/100 = 42

There is another way . You can simplify

Cancel all the zeros that you have and start to reduce.

            6

7       12

35 x 24<span> 0   </span> =  42

2       10 0

 1          5

           1

17 ½ % of 240  =  42

5 0
3 years ago
Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
3 years ago
HELP ME PLEASE [WILL GIVE BRAINLIEST TO BEST ANSWER WITH BEST EXPLAINATION]
Marysya12 [62]

Hi there!

\large\boxed{\text{33 in}^2}

Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.

Rectangles:

A = l × w

A = 2.75 × 4 = 11 in²

Solve for the other rectangle's length by subtracting from the total:

12 - 2 - 3 - 4 = 3

A = 3 × 3 = 9 in²

Total rectangle area: 11 + 9 = 20 in²

Trapezoid:

A = 1/2(b1 + b2)h

A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²

Triangle:

A = 1/2(bh)

A = 1/2(2.5 · 2) = 2.5 in²

Add up all of the areas:

20 + 10.5 + 2.5 = 33 in²

3 0
2 years ago
How many times does 291 go into 4?
Musya8 [376]

Answer: I think it's 72.75

Step-by-step explanation:

You divide 291 and 4 and it equals 72.75

<h3>I dont know if it's the actual answer but i hope this helps :)</h3>
7 0
3 years ago
Read 2 more answers
Draw and label point W. Draw and label line XY. Draw and label a plane K
mafiozo [28]

Answer:

b a pex

Step-by-step explanation:

3 0
3 years ago
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