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3 years ago

In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

1 answer:

6 0

In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15

By the Pythagorean theorem
the longer leg = √(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units

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balandron [24]

To solve this, you cross multiply, then divide. In this case, we multiply 4 and 2, then divide by 3.

4 x 2 = 8
8 / 3 = 2.66

So, x is 2.66

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3 years ago

Determine which expression has a greater value -12+6-4 or -34 -3+39

patriot [66]

By looking at it, I can tell the second expression is greater due to a a large postive number that's being added to it. Let's solve.

-12+6=-6-4=-10

-34-3=-37+39=2

So, -34-3+39 is greater.

6 0

3 years ago

Mario can eat 21 hot dogs in 6 minutes. At the same place, how many minutes would it take him to eat 35 hot dogs?

anyanavicka [17]

Answer:

10 minutes

Step-by-step explanation:

Mario can eat e21 hot dog in 6 minutes

Let 35 hot dog eats in x minutes :

$\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min$

Therefore, mario would eat 35 dogs in 10 min.

6 0

3 years ago

If five times the successor of a number is added to an original number the sum is 83

Alexus [3.1K]

Answer:

Let the original number be x

Successor is defined as the number which comes immediately after a particular number.

also, the successor of a whole number is the number obtained by adding 1 to that number.

Then, the successor of a number x is, x+1

As per the given condition :

we have;

$5(x+1)+x =83$

Using distributive property on LHS (i.e, $a\cdot(b+c)=a\cdot b+a\cdot c$ )

Then, we have

5x+5+x=83

Combine like terms;

6x+5=83

Subtract 5 from both the sides we get;

6x+5-5=83-5

Simplify:

6x=78

Divide both side by 6,

$\frac{6x}{6} =\frac{78}{6}$

Simplify:

x =13

Therefore, the original number x is, 13

8 0

3 years ago

When measuring forecast error, which forecasting error expresses the forecast error as a percentage from the mean?

oee [108]

Mean Absolute Percent Error, MAPE

4 0

3 years ago