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2 years ago

Twenty people each had 36 carrots. How many carrots are there altogether?

1 answer:

7 0

You know that there are 25 people and each person had 36 carrots. To find how many carrots everyone has in total, you have to multiply 25 by 36.

25 times 36 is 900.

There are 900 carrots altogether.

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The isosceles triangle below has one angle measure as shown what is the measure of each of the other angles?

SSSSS [86.1K]

The answer would be 65°.
This is because 180° -50° equals 130°. And 130° divided by two equals 65°. The two remaining angles must be equal because it is an isosceles triangle.

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3 years ago

7/9 - 1/2 in simplest fraction form

likoan [24]

14/18-9/18=5/18 it can't be simplified anymore

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Solve for x. −(−2−5x)+(−2)=18 x=−90 x=90 x=185 x=−185

Tomtit [17]

Uhm, did you, maybe, type in the problem wrong? The answer to this equation is: 18/5 or 3.6, lol, no worries, though!

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How many $0.12 pencils can I buy with $4.80?

netineya [11]

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The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l

Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

Pythagorean Theorem

$c^2 = a^2 + b^2$

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

$c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x$

Now let's factorize to get solutions for x.

$0 = x(x-20)$

First solution:

$x = 0$

Second solution:

$x - 20 = 0\\x = 20$

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

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2 years ago