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irga5000 [103]
2 years ago
5

In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is

Mathematics
1 answer:
Likurg_2 [28]2 years ago
6 0

Answer:

<h2>altitude = 5</h2>

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

a^2+12^2=13^2

a^2+144=169               <em>subtract 144 from both sides</em>

a^2=25\to a=\sqrt{25}\\\\a=5

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Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen we
vaieri [72.5K]

x represents the number of lawns weeded by Gwen and y represents the number of dogs walked by Fabio.

Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog.

So, for x number of weeds, Gwen earned 12x and for y number of dogs walked, Fabio earned 9y.

They need at least $510 to purchase the new gaming station.

Therefore,

12x + 9y ≥ 510

Also, the number of dog walks that Fabio has scheduled should not be more than twice the number of yards Gwen has scheduled to weed.

Therefore,

y ≤ 2x

Also, Fabio will walk at least 25 dogs.

Therefore,

y ≥ 25

Hence, the constraints are:

12x + 9y ≥ 510

y ≤ 2x

y ≥ 25

8 0
3 years ago
Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t
harina [27]

Answer:

Proportion states that the two fractions or ratios are equal

As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

\frac{x}{42.56}=\frac{x+10}{72.96}

by cross multiply we get;

72.96x = 42.56(x+10)

using distributive property;a\cdot (b+c) =a\cdot b + a\cdot c

72.96x = 42.56x+425.6

Subtract 42.56x from both sides we get;

30.4x =425.6

Divide both sides by 30.4 we get;

x = 14

Therefore, the tank is her now is, 14 gallons


5 0
3 years ago
Read 2 more answers
Multiply. Express your answer in simplest form.
kodGreya [7K]

Step-by-step explanation:

1.) First, you need to take the whole numbers (9 and 1) and set them aside.

2.) Multiply the numerators from each fraction by one another. The numerators are the numbers on the top of the fraction. (Whatever you get on that will be the numerator of the answer!)

3.) Multiply the denominators by each other as well. The denominators are the numbers on the bottom. This will be the denominator of your answer.

4.) Now, you need to multiply your whole numbers (9 and 1) together.

5.) Then, simplify or reduce your answer. (this can't be simplified, as it is already in its simplest form)

Your answer will be 9 1/66.

Your work should look like this in the end:

4 0
3 years ago
Solve by any method <br> y= -7x+10<br> y= -3x+6
AnnyKZ [126]
Y=1
To get it, you use the method of substitution. So you swtich the top y by the equation of the bottom=-3x+6=-7x+10. You first add 7x to each side=4x+6=10 then you minus 6 from each side=4x=4 which is 1
4 0
3 years ago
SOMEONE PLEASE HELP ME PLEASE!!!
tankabanditka [31]

Answer:

193%

Step-by-step explanation:

40.2 - 13.7 = 26.5

26.5 ÷ 13.7 = 1.93

1.93 = 193%

7 0
3 years ago
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