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3 years ago

Find the area of the shape, round to the nearest tenth

Mathematics

1 answer:

strojnjashka [21]3 years ago

4 0

Answer:

Step-by-step explanation:

Area = (top + bottom)*height/2

Area = (2 + (2+1+1))*2/2

Area = 6*2/2

Area = 6

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Evaluate the expression helppp pls

Gekata [30.6K]

Answer:

135

Step-by-step explanation:

(12-2) is in parentheses, so it should be solved first to get 10. 3^3 is 27. 27*10 = 270; 270/2 is 135.

5 0

3 years ago

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Angles plz help and plz explain in full detail for both of them

inna [77]

For #12, they are vertical angles so 4x=84 degrees. Therefore you take 84 and decide by 4 and you get what x is (it’s 21)

6 0

3 years ago

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HELP PLEASE SIMPLIFY !!!

Lelechka [254]

Answer:

$=x^{\frac{5}{6}}+2x^{\frac{7}{3}}$

Step-by-step explanation:

$x^{\frac{1}{3}}\left(x^{\frac{1}{2}}+2x^2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=x^{\frac{1}{3}},\:b=x^{\frac{1}{2}},\:c=2x^2\\=x^{\frac{1}{3}}x^{\frac{1}{2}}+x^{\frac{1}{3}}\cdot \:2x^2\\=x^{\frac{1}{3}}x^{\frac{1}{2}}+2x^2x^{\frac{1}{3}}\\\mathrm{Simplify}\:x^{\frac{1}{3}}x^{\frac{1}{2}}+2x^2x^{\frac{1}{3}}:\quad x^{\frac{5}{6}}+2x^{\frac{7}{3}}\\x^{\frac{1}{3}}x^{\frac{1}{2}}+2x^2x^{\frac{1}{3}}\\x^{\frac{1}{3}}x^{\frac{1}{2}}=x^{\frac{5}{6}}$

$x^{\frac{1}{3}}x^{\frac{1}{2}}\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^{\frac{1}{3}}x^{\frac{1}{2}}=\:x^{\frac{1}{3}+\frac{1}{2}}\\=x^{\frac{1}{3}+\frac{1}{2}}\\\mathrm{Join}\:\frac{1}{3}+\frac{1}{2}:\quad \frac{5}{6}\\\frac{1}{3}+\frac{1}{2}\\\mathrm{Least\:Common\:Multiplier\:of\:}3,\:2:\quad 6\\Adjust\:Fractions\:based\:on\:the\:LCM\\=\frac{2}{6}+\frac{3}{6}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2+3}{6}\\\mathrm{Add\:the\:numbers:}\:2+3=5\\=\frac{5}{6}\\=x^{\frac{5}{6}}\\2x^2x^{\frac{1}{3}}=2x^{\frac{7}{3}}\\=x^{\frac{5}{6}}+2x^{\frac{7}{3}}$

7 0

3 years ago

Which of the following points would fall on the line produced by the point-slope form equation y - 2 = 3/2(x + 4) when graphed?

Zielflug [23.3K]

Answer:

c. (-2, 5)

Step-by-step explanation:

y - 2 = 3/2(x + 4)

to know which is the correct option we have to replace the equation x and y with what is in the point

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((-2) + 4)

-3 = 3/2(2)

-3 = 3

Wrong

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-6) + 4)

3 = 3/2(-2)

3 = -3

Wrong

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-2) + 4)

3 = 3/2(2)

3 = 3

Correct

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((6) + 4)

-3 = 3/2(10)

-3 = 15

Wrong

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3 years ago

Choose the following ratios as a fraction: 20 correct out of 25 problems (three are correct)

Sergio039 [100]

Answer:

4/5

Step-by-step explanation:

It’s 20/25 but you can simplify. Divide both by 5 and you get 4/5.

5 0

3 years ago

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