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2 years ago

Find the width, 2x, of the V- Slot shown. Round to the nearest hundredth

Mathematics

1 answer:

4vir4ik [10]2 years ago

5 0

X = half of the width
2x = the full width

Because of this fact, we know that the angle 45 degrees is bisected to get 45/2 = 22.5 degrees

tan(angle) = opposite/adjacent
tan(22.5) = x/75
x = 75*tan(22.5)
x = 31.066017

Multiply both sides by 2 to get
2*x = 2*31.066017
2x = 62.132034
2x = 62.13

Answer: 62.13 inches

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Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by

Vera_Pavlovna [14]

The correct answer is:

B. $\frac{7}{8}$

The radius of sphere A is multiplied by $\frac{7}{8}$ to produce the radius of sphere B.

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2 years ago

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An airplane flew at an average rate of 600 miles per hour from Tokyo to Seattle. Because of a strong headwind, the average rate

Dvinal [7]

600t = 480(18 – t) should be it

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Last year Boris paid £256 for his car insurance.

jenyasd209 [6]

Answer:

The percentage increase in the cost of Boris car insurance cost is 249%

Step-by-step explanation:

In this question, we want to calculate the percentage increase in the cost of car insurance paid by Boris

Mathematically, to calculate this percentage increase, we shall need to make use of a mathematical formula.

Mathematically, the percentage increase would be;

{(new value paid-old value paid)/old value paid} * 100%

From the question, we can identify that the old value paid is £256 while the new value paid is £894

Thus, the percentage increase would be ;

(894-256)/256 * 100% = 638/256 * 100 = 2.4921875 * 100 = 249.21875 which is 249% increase to the nearest whole percentage

6 0

2 years ago

Chandresh is helping his father paint the fence in their back yard. The fence is represented by the shaded part of the diagram b

Lyrx [107]

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = $(length)(width)= (20)(8) =160,$

The area of the 10 feet long wall = $(length)(width)= (10)(8) =80,$

The area of the 5 feet long wall = $(length)(width)= (5)(8) =40,$

The area of the 4 feet long wall = $(length)(width)= (4)(8) =32,$

The area of the 15 feet long wall = $(length)(width)= (15)(8) =120.$

The area of all the walls = 432 square feet.

Since there are two sides for every wall, total area = $432(2)=864$ square feet.

Step 3:

If one paint can covers 500 square feet,

the number of cans required to paint 864 square feet = $\frac{864}{500} = 1.728$ cans.

so 2 paint cans are needed to paint 864 square feet which is option B.

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2 years ago

The graph shows the altitude of a helicopter over time. A graph measuring altitude and time. A line runs through coordinates (0,

Rasek [7]

15, 4000, and <span>0, 10,000.
to find the slope, subtract the y values over the x values

10000-400/0-15
6000/-15

divide.

</span>6000/-15 = -400

the slope is -400. Hope this helps! :D

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2 years ago

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