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3 years ago

13

What is the slope of the line that passes through the points ( −8,−1) and (-12,-2)

1 answer:

omeli [17]3 years ago

6 0

Answer:

1/4

Step-by-step explanation:

We can find the slope of a line given two points from the formula

m = (y2-y1)/(x2-x1)

= (-2--1)/(-12--8)

= (-2+1)/(-12+8)

=-1/-4

= 1/4

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Given: cos α = 4/5, sin β= 4/5, and α and β are both in quadrant 1. find sin (α+β)

mezya [45]

We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α = $\sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;$
cos β = $\sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;$
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;

8 0

3 years ago

What is 1 21/50 in a percentage?

marissa [1.9K]

1 21/50
= 1+ 21/50
= 50/50+ 21/50
= 71/20
= 71/20* 100%
= 142%

The final answer is 142%~

3 0

3 years ago

Find the surface area of a cylinder that has the following information:

BigorU [14]

Answer:

$A=1099.56cm^{2}$

Step-by-step explanation:

Formula to ind surface area of cylinder:

$A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}$

$A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}$

$A=1099.557443cm^{2}$

Therefore, area will be:

$A=1099.56cm^{2}$

<em>hope this helps :)</em>

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7 0

3 years ago

A large aquarium contains only two kinds of fish, guppies and swordtails. If 3/4 of the number of guppies is equal to 2/3 of

Jlenok [28]

Answer:

$\frac{8}{17}$ of fish in this aquarium are guppies.

Step-by-step explanation:

Let x be the number of guppies and y be the number of swordtails in the aquarium,

According to the question,

$\frac{3}{4}\text{ of } x=\frac{2}{3}\text{ of }y$

$\frac{3x}{4}=\frac{2y}{3}$

By cross multiplication,

$9x=8y$

$\implies \frac{x}{y}=\frac{8}{9}$

Thus, the ratio of guppies and swordtail fishes is 8 : 9

Let guppies = 8x, swordtail = 9x

Where, x is any number,

Since, the aquarium contains only two kinds of fish, guppies and swordtails,

So, the total fishes = 8x + 9x = 17x

Hence, the fraction of fish in the aquarium are guppies = $\frac{\text{Guppies}}{\text{Total fishes}}$

$=\frac{8x}{17x}$

$=\frac{8}{17}$

6 0

3 years ago

Please answer this correctly

maria [59]

Answer:

The total weight would be 5 lbs 12 oz.

Step-by-step explanation:

First, combine the ounces:

13 + 15 = 28 ounces

Next, convert that into pounds and ounces.

28 oz = 1 lb + 12 oz

Finally, add the weight back to the 4 lb.

1 lb + 4 lb + 12 oz = 5 lb + 12 oz

3 0

3 years ago