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melamori03 [73]
3 years ago
14

What is the measurement of

Mathematics
1 answer:
Sophie [7]3 years ago
8 0

Answer: Angle A = 120° and angle C = 45°

Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,

{12x + 12} + 15 + {3x + 18} = 180

12x + 12 + 15 + 3x + 18 = 180

By collecting like terms, we arrive at,

12x + 3x + 12 + 15 + 18 = 180

15x + 45 = 180

Subtract 45 from both sides of the equation

15x = 135

Divide both sides of the equation by 15

x = 9

At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.

Angle A = 12x + 12

= 12(9) + 12

= 108 + 12

= 120

Angle A = 120°

Angle C = 3x + 18

= 3(9) + 18

= 27 + 18

= 45

Angle C = 45°

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Nookie1986 [14]

Answer:

Total cost = Cost per month × 12 months per year × Number of years

= $21 × 12 × 8

= $2,016

Step-by-step explanation:

8 0
3 years ago
I will give lot of points please help
zheka24 [161]

Answer:

V = 43323 mm³

(second answer is already correct)

Step-by-step explanation:

these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.

the volume of a cylinder can be found with the formula:

V = πr²h

(V = volume ; π = pi ; r = radius ; h = height)

We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.

diameter = 19.05

radius = 19.05 / 2 = 9.525

so, r = 9.525

we also are given the height of this cylinder, 38 mm

so, h = 38

π = 3.14159 (π is a constant)

plugging our measurements into the volume formula:

 V = πr²h

V = (3.14159)(9.525²)(38)

V =  (3.14159)(362.9025)(38)

V = 43323.4894628

[rounded to V = 43323 mm³]

And yes, the volume is not affected by a change in shape. (you are correct)

hope this helps!!

4 0
2 years ago
Read 2 more answers
Different groups of 100 graduates of a business school were asked the
rusak2 [61]
76,000 because it is the outlier
5 0
3 years ago
What is the total surface area of the figure shown?
4vir4ik [10]

Given:

Composite figure.

The figure splitted into two shapes.

One is vertical cuboid and other is horizontal cuboid

To find:

Total surface area of the figure

Solution:

<u>Vertical cuboid:</u>

Length = 14 inches

Width = 12 inches

Height = 24 inches

Surface area = 2(lw + wh + lh)

                     = 2(14 × 12 + 12 × 24 + 14 × 24)

                     = 2(168 + 288 + 336)

Surface area = 1584 square inches

<u>Horizontal cuboid:</u>

Length = 14 inches

Width = 10 inches

Height = 30 - 12 = 18 inches

Surface area = 2(lw + wh + lh)

                     = 2(14 × 10 + 10 × 18 + 14 × 18)

                     = 2(140 + 180 + 252)

Surface area = 1144 square inches

Total surface area = 1584 + 1144

                              = 2728 square inches

The total surface area of the figure is 2728 square inches.

4 0
3 years ago
The sum of X and 3/4 is greater than 1 1/4. Drag point X above one possible value for X.
GrogVix [38]
X + 3/4 > 11/4
X > 8/4
X > 2

So make a rectangle that extends from 2 and above

In inequalities normal athematic are used the only difference is that you flip the operator when dividing over -1 or taking inverse
5 0
3 years ago
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