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3 years ago

If one of the short sides of a 45-45-90 triangle equals 5, how long is the hypotenuse?

Mathematics

1 answer:

Alla [95]3 years ago

5 0

Answer:

hypotenuse= 2 $\sqrt{5}$

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

$\sqrt{5^{2} +5^{2} }$ = 2 $\sqrt{5}$

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Select the correct inequality to make a true statement

polet [3.4K]

Step-by-step explanation:

$\frac{1}{4} \boxed{?} \frac{3}{8} \\ \\ \frac{1}{4} = \frac{2}{8} \\ \\ \because \: 2 < 3 \\ \therefore \: \frac{1}{4} \boxed{ < } \frac{3}{8}$

7 0

3 years ago

Factor 2x^2 + 9x +10

PtichkaEL [24]

Answer:

(2x + 5) (x + 2)

Step-by-step explanation:

(2x + 5) (x + 2)

2x² + 4x + 5x + 10

2x² + 9x + 10

6 0

3 years ago

Read 2 more answers

Definition of the math word obtuse triangel

Alexxandr [17]

An obtuse triangle is a triangle which has one obtuse angle. 

Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.

Hope that helps you

4 0

3 years ago

Fourteen less than three fourths of a number is negative eight. Find the number

Lapatulllka [165]

The word "is" in this kind of problem typically means "=", so we know that something =-8. Since we're finding the number, we should start with the closest thing in the phrase given to that number. In this case, it's 3/4x. Finally, since we have the "14 less than", we need to add that in. Your answer is:

3/4x-14=-8. Now we can just solve!
+14 +14

3/4x=6.
*4/3 *4/3

x=8.


Don't forget to rate this answer the Brainliest!

8 0

3 years ago

cylinder with height 9 inches and radius is filled with water, it can fill a certain pitcher. How many of these pitchers can a c

larisa [96]

Answer:

Step-by-step explanation:

The 1st cylinder used to fill the pitcher has:

height:

h = 9 in

radius:

r = r

The volume of a cylinder is given by:

$V=\pi r^2 h$

Therefore, the volume of the 1st cylinder is

$V=\pi r^2 9=9\pi r^2$

We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.

Then, we have a second cylinder, which has height

h = 9 in

and radius

r' = 2r

So the volume of this cylinder is

$V'=\pi r'^2 h = \pi (2r)^2 9 =9\pi (4r^2)=36\pi r^2$

This means that the number of pitchers that can be filled by this 2nd cylinder is

$n=\frac{V'}{V}=\frac{36\pi r^2}{9\pi r^2}=4$

8 0

4 years ago