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Sidana [21]
3 years ago
14

A triangle has sides of lengths 9, 7, and 12. Is it a right triangle? Explain.

Mathematics
2 answers:
Brut [27]3 years ago
8 0

Answer:

Yes based on the numbers .

Step-by-step explanation:

jeka943 years ago
4 0

Answer:Yes

Step-by-step explanation:Based on the number given, it shows that there is a hypotenuse (The longest side of a right triangle, in this case being 12), And opposite (Another part of the right triangle, that could be either 9 or 7), and the adjacent (The line next to the opposite, which could be 9 or 7)

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From the given sides of 16, 14, and 21, determine what type of triangle it will form (right, acute, obtuse, none).
Komok [63]

Answer:

It is an acute triangle.

Step-by-step explanation:

It would be much easier for you to see where I'm getting at if you draw a diagram.

Assume this triangle is labelled ABC where a = 14, b = 21, and c = 16.

cos A = (16^2 + 21^2 - 14^2)/(2(16)(21))

∠A = cos^-1(0.82291...)

∠A ≅ 34.6°

cos B = 16^2 + 14^2 - 21^2)/(2(16)(14))

∠B = cos^-1(0.024...)

∠B ≅ 56.8°

∠C = 180 - (∠A + ∠B)

∠C ≅ 56.8°

Since there is no right-angle nor is there an obtuse angle,

Therefore the triangle is an acute triangle.

4 0
3 years ago
If the diameter of circle a measures half of the diameter of circle b, then the area of circle b is how many times the area of c
Eduardwww [97]
Circle b:

Diameter = x

Radius = \frac{x}{2}

Area = \pi  r^{2} =  \pi ( \frac{x}{2} )^{2} =   \frac{ \pi  x^{2} }{4}

Circle a:

Diameter = \frac{x}{2}

Radius = \frac{x}{2} *  \frac{1}{2} =  \frac{x}{4}

Area = \pi  r^{2} =  \pi  ( \frac{x}{4} )^{2} =  \frac{  \pi x^{2} }{16}

Thus,

Area of circle b to area of circle a

= \frac{ \pi x^{2} }{4} ÷ \frac{ \pi x^{2} }{16}

= \frac{ \pi x^{2} }{4} × \frac{ 16 }{\pi x^{2}}

= 4

Hence, the area of circle b is 4 times the area of circle a.
5 0
3 years ago
A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the numbe
Elena-2011 [213]

The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.

Let

y \to amount of drinks

x \to number of drinks

For drinks not more than 50

y = 10 + 0.8x

For drinks more than 50.

y = 15 + 0.7x

For a purchase of $85, it means that:

y = 85

So, we solve for x in both equations.

y = 10 + 0.8x

85 = 10 + 0.8x

Collect like terms

0.8x = 85-10

0.8x = 75

Divide through by 0.8

x = 93.75

x = 94 --- approximated

y = 15 + 0.7x

85 =15 + 0.7x

Collect like terms

0.7x = 85 - 15

0.7x = 70

Divide by 0.7

x = 100

By comparing both values:

x = 100

x = 94

100 > 94

Hence, the maximum amount that can be purchased is 100

Read more about functions at:

brainly.com/question/20286983

5 0
3 years ago
Read 2 more answers
What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27
nignag [31]

Answer:

y = -18

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = 5x - 3

3x - 2y = 27

<u>Step 2: Rewrite systems</u>

  1. Define:                                        3x - 2y = 27
  2. Add 2y on both sides:               3x = 2y + 27
  3. Divide 3 on both sides:              x = 2/3y + 9

<u>Step 3: Redefine</u>

y = 5x - 3

x = 2/3y + 9

<u>Step 4: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                              y = 5(2/3y + 9) - 3
  2. Distribute 5:                                  y = 10/3y + 45 - 3
  3. Combine like terms:                     y = 10/3y + 42
  4. Subtract 10/3y on both sides:      -7/3y = 42
  5. Divide -7/3 on both sides:            y = -18
8 0
3 years ago
If the point (x, –1) is on the unit circle, what is the value of x?
aleksklad [387]
The value of x will be 0
6 0
3 years ago
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