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3 years ago

Compare. Write <, >, or=.11. V8 +3( ) 8+ V3

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Answer:

Step-by-step explanation:

v8 + 3 = 8 + v3

-3 -3

________________

v8 = 5 + v3

-v3 -v3

___________

v5 = 5

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The answer is letter D.

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3 years ago

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The ratio of the heights of two similar solids is 6:11. Find the ratio of their surface areas.

vaieri [72.5K]

Answer:

The ratio of surface areas is 36:121.

Step-by-step explanation:

We have, the ratio of the heights of two similar solids is 6:11. It is required to find the ratio of their surface areas. As the two solids are similar, it means that the ratio of surface areas of solids is directly proportional to the square of their heights such that,

$\dfrac{S_1}{S_2}=(\dfrac{h_1}{h_2})^2\\\\\dfrac{S_1}{S_2}=(\dfrac{6}{11})^2\\\\\dfrac{S_1}{S_2}=\dfrac{36}{121}$

So, the ratio of surface areas is 36:121.

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3 years ago

Please help, very confused!

My name is Ann [436]

$\bf cot(\theta)=\cfrac{1}{tan(\theta)}
\qquad \qquad 
csc(\theta)=\cfrac{1}{sin(\theta)}\qquad \qquad sin(-\theta )=-sin(\theta )
\\\\\\
\textit{also recall }sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\
-------------------------------$

$\bf \cfrac{csc^2(x)-cot^2(x)}{sin(-x)cot(x)}\implies \cfrac{\frac{1}{sin^2(x)}-\frac{cos^2(x)}{sin^2(x)}}{-sin(x)\frac{cos(x)}{sin(x)}}\implies \cfrac{\frac{1-cos^2(x)}{sin^2(x)}}{-cos(x)}
\\\\\\
\cfrac{\frac{sin^2(x)}{sin^2(x)}}{-cos(x)}\implies \cfrac{1}{-cos(x)}\implies -sec(x)$

7 0

3 years ago

PLEASEE HELP!! I WILL MARK BRAINLIEST!

ycow [4]

The expression in scientific notation is given as follows:

3.5 x 10³.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

For this problem, the expression is given by:

$\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}$

When two factors of a multiplication have the same base and different exponent, we <u>keep the base and add the exponents,</u> hence:

$10^2 \times 10^4 = 10^6$

5 x 4.2 = 21, hence the expression is:

$\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}$

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

$\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3$

Which is the simplified expression.

More can be learned about scientific notation at brainly.com/question/16394306

#SPJ1

6 0

1 year ago

Gareth 30 students in a class and the ratio of boys to girls in the class is 2:3 calculate the number of goals

pishuonlain [190]

Answer:

<em>There are 12 boys and 18 girls</em>

Step-by-step explanation:

<u>Equations</u>

There are 30 students in a class. Let's call:

x = number of boys

Since the sum of boys and girls is 30:

30 - x = number of girls

The ratio of boys to girls is 2:3, thus:

$\displaystyle \frac{x}{30-x}=\frac{2}{3}$

Crossing denominators:

3x = 2(30 - x)

Operating the parentheses:

3x = 60 - 2x

Adding 2x:

5x = 60

Dividing by 5:

x = 60/5 = 12

x = 12

There are 12 boys and 30-12=18 girls

8 0

3 years ago

Compare. Write <, >, or=.11. V8 +3( ) 8+ V3​

Compare. Write <, >, or=.11. V8 +3( ) 8+ V3