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3 years ago

How you know fractions are equivalent

1 answer:

8 0

A simple way to look at how to check for equivalent fractions<span> is to do what is called “cross-multiply”, which means multiple the numerator of one </span>fraction<span> by the denominator of the other </span>fraction. Then do the same thing in reverse. Now compare the two answers to see if they areequal<span>.</span>

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Find the missing angels in the parallelogram

krek1111 [17]

Answer:

m<B = 60°

m<C = 60°

m<F = 80°

m<G = 80°

Step-by-step explanation:

m<B = 180° - 120° = 60°

m<C = m<B = 60° (Vertically opposite angles are equal)

m<F = 180° - (40° + m<C(60°)) = 80°

m<G = 180° - (m<H + m<B) = 180° - (40° + 60°) = 80°

6 0

3 years ago

Write a polynomial function in standard form with zeros at −3, −1, and 1.

Annette [7]

Answer:

$f(x) = {x}^{3} + 3 {x}^{2} - x -3$

Step-by-step explanation:

The given polynomial has zeros at:

x=−3, x=−1, and x=1.

This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

$f(x) = (x + 3)(x + 1)(x - 1)$

We expand the last two factors using difference of two squares.

$f(x) = (x + 3)( {x}^{2} - 1)$

$f(x) = x ( {x}^{2} - 1) + 3( {x}^{2} - 1)$

$f(x) = {x}^{3} - x+ 3 {x}^{2} -3$

$f(x) = {x}^{3} + 3 {x}^{2} - x -3$

This is the standard form because it is now in decreasing powers of x.

8 0

3 years ago

Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati

Helen [10]

Step 1.

Calculate measure of angle α:

$47^o-38^o=9^o$

Step 2.

Calculate what fraction of the angle 360° is the angle α:

$\dfrac{9^o}{360^o}=\dfrac{1}{40}$

Step 3.

Calculate the circumference of the Earth (circle):

$C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi$

Step 4.

The length of arc is equal 1/40 of the circumference:

$\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi$

$\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi$

<h3>Answer: A) 628 miles</h3>

7 0

3 years ago

PLEASE HELP im super confused

FinnZ [79.3K]

Answer:

7 Quarters and 3 dimes

Step-by-step explanation:

You have to find how many quarters (0.25) and dimes (0.10) are in $2.05. There are 7 quarters, which will add up to $1.75. You can't have 8 quarters because then you would have 2 dollars, and there wouldn't be enough for a dime, there would only by 5 cents left, or a nickle. Then, you find out how many nickels you need, which is 3.

.10x3=.30. 1.75+0.3=2.05.

I hope you understood:)

4 0

2 years ago

Read 2 more answers

8x + 3y = 10<br> -2x - 10y =16

Len [333]

Answer:

(2,-2)

x=2

y=-2

7 0

3 years ago

Read 2 more answers