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Novosadov [1.4K]
3 years ago
8

Solve 4(x - 3) - 2(x - 1) > 0. {x | x > 2} {x | x > 5} {x | x > 7} {x | x > 14}

Mathematics
2 answers:
MatroZZZ [7]3 years ago
4 0
X>5 is the answer!!!
postnew [5]3 years ago
3 0

Answer:

{x | x > 5}

Step-by-step explanation:

if u dont know how to figure this out, i suggest u ask ur teacher to explain it

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You earn $28 for washing 4 cars. How much do you earn for washing 3 cars?
a_sh-v [17]

Answer:

21 dollars

Step-by-step explanation:

8 0
3 years ago
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Find the missing side length using the Pythagorean Theorem.<br> a²+6² = c²
r-ruslan [8.4K]

Answer:

18

Step-by-step explanation:

Hello!

In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.

Let a and b be the legs, and c is the hypotenuse.

a² + b² = c²

In this equation, the hypotenuse is 30, and the measure of one leg is 24.

We can solve this by plugging in the values.

  • a² + b² = c²
  • 24² + b² = 30²
  • 576 + b² = 900
  • 324 = b²
  • b = 18

So the missing side length is 18.

6 0
3 years ago
(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this
Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta

Simplify. The denominator uses the difference of two squares pattern:

\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta

Split into two separate fractions:

\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta

Rewrite the two fractions:

\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=}  \sec^2\theta - \sec\theta\tan\theta

Hence verified.

8 0
3 years ago
Find the circumference of the circle and show work
expeople1 [14]

Answer:

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

<u>Circumference</u><u> </u><u>of </u><u>a </u><u>circle </u><u>is </u><u>given </u><u>by </u>

<u>C = 2\pi \: r</u>

  • Given - <u>Diameter</u><u> </u><u>of </u><u>circle </u><u>=</u><u> </u><u>1</u><u>0</u><u> </u><u>yards</u>

radius =  \frac{diameter}{2}  =  \frac{10}{2}  \\  \\ \implies \: 5 \: yards

now ,

<u>substituting</u><u> </u><u>the </u><u>value </u><u>of </u><u>r </u><u>in </u><u>the </u><u>formula </u><u>of </u><u>circumference</u><u> </u><u>~</u>

C =  2 \times  \frac{22}{7}   \times 5 \\  \\ \implies \: C =  \frac{220}{7}  \\  \\ \implies \: C = 31.43 \: yards \: (approx.)

hope helpful :D

4 0
2 years ago
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What is $2.47 as a precent out of 100
svetlana [45]
24.7/100   yer welcome
6 0
3 years ago
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