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3 years ago

GIVING BRAINLIEST TO WHO ANSWERS THIS EASY MATH QUESTION FIRST...

Mathematics

1 answer:

musickatia [10]3 years ago

7 0

Answer:

height = 5 in

Step-by-step explanation:

Area =h x (b1+ b2)/2

50 = h x (12 + 8)/2

50 = h x 10

h = 5

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Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and

pochemuha

Given :

Miki has 104 nickels and 88 dimes.

She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.

To Find :

Largest number of groups she can have .

Solution :

In the given question we need to find the largest number of groups she can have i.e we have to find the LCM of 104 and 88 .

Now , factorizing both of them , we get :

$104=1\times 2\times 2\times 2\times 13$

$88=1\times 2\times 2\times 2\times 11$

Form above , we can say that common factors are :

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The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa

taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs. Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also: a + b + c = Perimeter = 84 units.

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369. Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0. Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

47 ± 23

b = -------------- , so that b is either 35 or 12

and then side a has length a = 47 - b = 12 or 35.

Thus, a = 12 and b = 35, and c is given: 37.

Check: Is 12^2 + 35^2 = 37^2 true? Is 144 + 1225 = 1369? YES

The lengths of the legs are 12 and 35 units.

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3 years ago