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2 years ago

If < 1 mesures 65°, what does <3 measure?

Mathematics

1 answer:

kakasveta [241]2 years ago

3 0

When you have one measure , you can find any measure

1 measure = 65

So, you times (×) it by the number three (3) and you'll get 195 degrees.

You can do it by any number once you find one measure or share.

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

2 years ago

51 is 10% of what number

irinina [24]

Answer:

10 percent of 51 is 5.1

8 0

2 years ago

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Subtract the second expression from the first . (5x^2-3x+5) - (3x^2-4x-7)

Doss [256]

(5x² - 3x + 5) - (3x² - 4x - 7) Distribute/multiply - into (3x² - 4x - 7)

5x² - 3x + 5 - 3x² + 4x + 7 Combine like terms

2x² + x + 12

The answer is A

8 0

3 years ago

I will give you 100 points HELp

Naddika [18.5K]

Answer:

CD ≈ 26.0 cm

Step-by-step explanation:

using the sine ratio in right triangle ABD

sin35° = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{BD}$ = $\frac{12}{BD}$ ( multiply both sides by BD )

BD × sin35° = 12 ( divide both sides by sin35° )

BD = $\frac{12}{sin35}$ ≈ 20.92 cm

using the sine rule in Δ BCD

$\frac{BD}{sinC}$ = $\frac{CD}{sinB}$ , that is

$\frac{20.92}{sin52}$ = $\frac{CD}{sin102}$ ( cross- multiply )

CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )

CD = $\frac{20.92sin102}{sin52}$ ≈ 26.0 cm ( to 3 significant figures )

6 0

1 year ago

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Solve the following equation. Then place the correct number in the box provided. x/9 = 1

BARSIC [14]

First, we need to isolate the variable x.

To isolate x, we simply need to multiply both sides by 9, which would result in x = 9

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2 years ago

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