The hypotenuse of a right triangle is 10 meters and its legs measure x and x + 2. How long are the legs?

Answers

Answer 1
Answer:

Solution :

Let's solve by using Pythagoras theorem,

\hookrightarrow \: (10) {}^(2) = {(x})^(2) + (x + 2) {}^(2)

\hookrightarrow \: 100 = {x}^(2) + {x}^(2) + 4x + 4

\hookrightarrow \: 100 - 4 = 2 {x}^(2) + 4x

\hookrightarrow \: 96 = 2 {x}^(2) + 4x

\hookrightarrow \: 2 {x}^(2) + 4x - 96 = 0

\hookrightarrow \: 2( {x}^(2) + 2x - 48) = 0

\hookrightarrow \: {x}^(2) + 2x - 48 = 0

\hookrightarrow \: {x}^(2) + 8x - 6x - 48 = 0

\hookrightarrow \: x(x + 8) - 6(x + 8) = 0

\hookrightarrow \: (x + 8)(x - 6) = 0

now there are two cases

Case 1 : when (x + 8) = 0

\hookrightarrow \: x + 8 = 0

\hookrightarrow \: x = - 8

but the value of x can't be negative, since side of a triangle isn't a negative value .

Case 2 : when (x - 6) = 0

\hookrightarrow \: x - 6 = 0

\hookrightarrow \: x = 6

therefore the measure of other two sides are :

\hookrightarrow \: x = 6 \: units

\hookrightarrow \: x + 2 = 6 + 2 = 8 \: units

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \mathrm{TeeNForeveR }


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Proportional relationships

Answers

Answer:

relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Step-by-step explanation:

One number is 10 more than twice another. Their sum is 1. Find the numbers

Answers

Answer:

-3 and 4

Step-by-step explanation:

We can start naming the first number x

Hence, the second number would be 10+2x

Set up an equation.

10+2x+x=1

Combine like terms

10+3x=1

Subtract 10 from both sides

3x=-9

Divide both sides by 3.

x=-3

The first number is he first is -3.

Plug that into the expression for the second number.

10+2x

10+2(-3)

10-6

4

The two numbers are -3 and 4.

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

C. Range

Step-by-step explanation:

The inputs of a function are the x-values. The domain represents the set of x-values in a function.

The outputs of a function are the y-values. The range represents the set of y-values in a function.

Answer:

C) Range

Step-by-step explanation:

The Range is the set of possible output values, which are shown on the y-axis while the Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. No I did not copy the person above me I did this on my own so please don't report me. Hope this helps :)

What’s the answer to this ?

Answers

Answer:

59.44 units²

Step-by-step explanation:

The area of each triangular section can be computed from the side length (5 units) and the central angle (72°) as ...

... section area = (1/2)sin(72°)·5² ≈ 12.5·0.951057 ≈ 11.8882 . . . units²

Then 5 such sections will have an area of ...

... pentagon area = 5·11.8882 units² = 59.4410 units²

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Comment on central angle

The central angles total 360°. There are 5 equal sections, so the central angle for each of them is 360°/5 = 72°.

Comment on area formula

It can be occasionally handy to know that the area of a triangle can be computed from the lengths of adjacent sides and the angle between them. The formula for sides of length "a" and "b" and angle β is ...

... A = (1/2)ab·sin(β)

I need help please help me

Answers

Answer:

h(x) = 1/4 x - 2

Step-by-step explanation:

f(x) = 4x + 8

y = 4x + 8

x = 4y + 8

4y = x - 8

y = 1/4 x - 2

h(x) = 1/4 x - 2

Wil someone help me convert all of these to metric, for those that can be.3 tablespoons vegetable oil
1 1/2 pounds skinless boneless chicken breast
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1 red onion, chopped
2 cloves garlic, minced
1 cup frozen corn, thawed
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4 canned chipotle chiles, seeded and minced
1 (28-ounce) can stewed tomatoes
1/2 teaspoon all-purpose flour
16 corn tortillas
1 1/2 cups enchilada sauce, canned 1 cup shredded Cheddar and Jack cheeses

Answers

Approximate conversions for cooking are ...

1 tsp ≈ 5 mL, so 1/2 tsp is about 2.5 mL

1 Tbsp ≈ 15 mL

1 cup ≈ 240 mL, so 1 1/2 cups ≈ 355 mL*

1 1/2 lb ≈ 680 g

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* 1 cup is about 236.6 mL.

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Many cookbooks have tables of equivalents.