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3 years ago

√(25 - 10 √(3) + 3) (not as a decimal)

Mathematics

1 answer:

nikitadnepr [17]3 years ago

6 0

Answer:

$\huge\boxed{\sqrt{25-10\sqrt3+3}=5-\sqrt3}$

Step-by-step explanation:

$\sqrt{25-10\sqrt3+3}=(*)\\\\25=5^2\\3=(\sqrt3)^2\\10\sqrt3=(2)(5)(\sqrt3)\\\\(*)=\sqrt{5^2-(2)(5)(\sqrt3)+(\sqrt3)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(5-\sqrt3)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|5-\sqrt3|=5-\sqrt3\\\\^{\text{because}\ 5>\sqrt3\to5-\sqrt3>0}$

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Help me with 6 and 7 please

Kazeer [188]

#7 is B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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3 years ago

I need the thing for the square pizza ill give brainlest to who gets its right

baherus [9]

Answer:

A) The square pizza gives you more delicious (XD) pizza. And 24 (225-201) more pizza.

B) There's more crust on the square pizza then on the circle one, according to 60>50!

Step-by-step explanation:

A)First, let's calculate the area of the round pizza.

We need to find out the radius, and radius= $\frac{diameter}{2}$

So radius=16/2, which is 8.

And a circle's area is $\pi r^{2}$ , so the equation for this round pizza is:

$\pi (8)^{2}$

=64 $\pi$

≅201 $inch^{2}$

Second, we calculate the square pizza's area, which is pretty easy since the equation for a square is: $(Side Length)^{2}$ .

So for this square pizza, the area would be:

$(15)^{2}$

=225 $inch^{2}$

Lastly, we compare the two, 225>201, so the square pizza gives you more delicious (XD) pizza. And 24 (225-201) more pizza.

B)So this problem is actually asking you to find the circumference of the circle and perimeter of the square.

Let's start off with the circle, the formula for circumference is:

$\pi (d)$

We already have the d, (diameter), which is 16, so the circumference of this circle pizza is:

16 $\pi$

≅50 inch

Then we find the a square's, the equation for perimeter is:

4 (side length)

=4(15)

=60 inch

So happily, we found out there's more crust on the square pizza then on the circle one, according to 60>50!

<u><em>Hoped I helped! And hope you can get full credit with my will elongated answer XD.</em></u>

6 0

3 years ago

Inez earns $160 per month by babysitting. She saves 25% of her monthly salary. If her salary increases by 10%, how much will she

Olin [163]

10 x=16
100 160
160+0.1(160)=176
25 x=44
100 176
0.25(176)=44/month

7 0

3 years ago

Convert the following to a percentage: $0.40 out of $2.50

expeople1 [14]

Answer:

16%

Step-by-step explanation:

Solution for 0.40 is what percent of 2.50:

0.40:2.50*100 =

(0.40*100):2.50 =

40:2.50 = 16

8 0

3 years ago

Read 2 more answers

The value of y varies directly with x. If x = 218, then y = 436. What is

adell [148]

Answer:

Step-by-step explanation:

To find the value of the value of x when

y = 14 we must first find the relationship between them

The statement

The value of y varies directly with x is written as

$y \: \: \: \alpha \: \: \: kx$

where k is the constant of proportionality

when x = 218

y = 436

So we have

436 = 218k

Divide both sides by 218

k = 2

So the formula for the variation is

when y = 14

We have

14 = 2x

Divide both sides by 2

Hope this helps you.

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3 years ago