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Viktor [21]
4 years ago
11

A triangular table has angles with measures in the ratio 7:9:4. What is the measure of the smallest angle?

Mathematics
1 answer:
Paraphin [41]4 years ago
8 0
The angles must add to 180 degrees.
Since the angles are in the ratio 7:9:4, their measures are not 7, 9, and 4 since 7, 9, and 4 do not add to 180.  If you multiply 7, 9, and 4 by the same number, the new numbers will be in the same ratio. Since we do not know what that number is, we can use x for it.

Multiply 7, 9, and 4 by x to get
7x, 9x, and 4x.
Now add them and set equal to 180.
Then solve for x.

7x + 9x + 4x = 180

20x = 180

x = 9

Now that we know x equals 9, substitute x with 9 and evaluate 7x, 9x, and 4x to find the actual angle measures.

7x = 7 * 9 = 63
9x = 9 * 9 = 81
4x = 4 * 9 = 36

The angles measure 63, 81, and 36 degrees.
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If a car factory checks 320 cars and 12 of them have defects, how many out of 560 will have defects? Use proportions
Shkiper50 [21]

Answer:

  • Total number of cars having no defection = 539
  • Total number of cars out of 560 will have defects = 560 - 539 = 21

Step-by-step explanation:

As

  • A car factory checks 320 cars, and
  • 12 of them have defects.

Total number of cars = 560

The number of cars defected out of the cars that have

been checked = 320 - 12 = 308

The equation of the scenario will be:

\left[560\:\times \:308\right]\:\div \:320    ⇒    \frac{172480}{320}=539

so

  • Total number of cars having no defection = 539
  • Total number of cars out of 560 will have defects = 560 - 539 = 21
5 0
3 years ago
(50 POINTS) (PLEASE ANSWER THE QUESTION, NOT JUST TRY AND TAKE MY POINTS, I NEED HELP ON THIS SO DO NOT ANSWER IF YOU DO NOT KNO
jarptica [38.1K]

Answer:

  • No, there is no proportional relationship

Step-by-step explanation:

<u>The proportional relationship is:</u>

  • y = kx, which is a special form of linear equation, with zero y-intercept

<u>In the given case we have:</u>

  • y = 4.5x + 10

This is a linear function but not proportional relationship because it has y-intercept, different than zero

8 0
3 years ago
HELP ME PLEASE<br> Solve for x: -6 – 5x = 29
Lynna [10]

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (&Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 6 to both sides of the equation:

-5x - 6 = 29

-5x - 6  (+6) = 29 (+6)

-5x = 29 + 6

-5x = 35

Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5

x = 35/-5

x = -7

-7 is your answer for x.

~

4 0
2 years ago
What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest tenth of a cubic meter?
Art [367]

Answer:

The volume of hemisphere is <u>19.4 cubic meter</u>.

Step-by-step explanation:

Given:

A hemisphere is with a radius of 2.1 m.

Now, to find the hemisphere volume with radius 2.1 m.

Radius\ (r) = 2.1 m.

So, we put formula to get the volume of hemisphere:

Volume=\frac{2}{3} \pi r^3\ \ \ \ \ (Taking\ the\ value\ of\ \pi =3.14)\\\\Volume=\frac{2}{3} \times 3.14\times 2.1^3\\\\Volume=\frac{2}{3} \times 3.14\times 9.26\\\\Volume=19.384\ cubic\ meter.

<u><em>Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.</em></u>

Therefore, the volume of hemisphere is 19.4 cubic meter.

3 0
3 years ago
Which table represents a linear function?
igomit [66]

Answer:

Table 2

Step-by-step explanation:

I've done simular problems

6 0
2 years ago
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