Please help me on this question

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