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VARVARA [1.3K]
2 years ago
12

One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.

Mathematics
1 answer:
Ugo [173]2 years ago
3 0

Answer:

about 11.5 cm.

Step-by-step explanation:

I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.

a^2+b^2=c^2.

"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.

8^2+b^2=14^2 simplified: 64+b^2=196

Then, I subtracted 64 on both sides, so I would have "b" by itself.

b^2=132

Next, I found the square root of both b^2 and 132, so I would find the true value of "b."

b=11.4891252931

So, the measure of the other leg rounded to the nearest tenth is about 11.5.

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Question 5 of 8 2 Points Which values are solutions to the inequality below? Check all that apply. x2 > 10
Ket [755]

Answer:

4 and -4

Step-by-step explanation:

> means greater than

x² > 10

4² > 10 → True, 16 is greater than 10

-4² > 10 → True, 16 is greater than 10

8 0
3 years ago
Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cu
melisa1 [442]

Answer: 96 teaspoons

Step-by-step explanation:

If 1 cup contains 16 tablespoons the 2 cups will contain;

= 16 * 2

= 32 tablespoons

If 1 tablespoon contains 3 teaspoons then 32 tablespoons will contain;

= 32 * 3

= 96 teaspoons

4 0
2 years ago
Please help on number 26
polet [3.4K]

38 percent. 24 divided by 64 classmates is 0.375 which is also 37.5 percent. You can either round up which would make it 38 or keep it at 37.

5 0
3 years ago
Select the conic section that represents the equation. y2 = 10x circle ellipse parabola hyperbola
Makovka662 [10]

The conic that represents the equation y² = 10x is a parabola

Step-by-step explanation:

The general equation for any conic section is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E and F are

constants

1. If B² - 4AC < 0, if a conic exists, it will be either a circle or an ellipse,

   if A and C are equal then it is a circle, if not then it is an ellipse

2. If B² - 4AC = 0, if a conic exists, it will be a parabola

3. If B² - 4AC > 0, if a conic exists, it will be a hyperbola

∵ The equation is y² = 10x

- Subtract 10x from both sides

∴ y² - 10x = 0

∴ A = 0 , B = 0 , C = 1 , D = -10 , E = 0 and F = 0

∵ B² - 4AC = (0)² - 4(0)(1) = 0

∴ B² - 4AC = 0

∴ The conic is parabola

The conic that represents the equation y² = 10x is a parabola

Learn more:

You can learn more about discriminant in brainly.com/question/8196933

#LearnwithBrainly

6 0
3 years ago
Can someone answer this question please?
tester [92]

Answer:

(6, 1)

Step-by-step explanation:

plug in 6 for x and 1 for y in the given equation.

(6) - 3(1) = 3

then use PEMDAS to solve the equation.

-3 x 1 = -3

6 - 3 = 3

3 = 3

this ordered pair is correct because both 6 and 1 make the equation true.

3 0
3 years ago
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