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aleksandr82 [10.1K]
3 years ago
6

The diameter of a circle is 18 in. 4x +5 represents the radius. Write two equations that you can find the value of x. Then find

the value of x.
Which equations can you use to solve for x ?
Select two equations
A. 4x+5=9
B.2(4x+5)=9
C. 2(4x+5)=18
D. 4x+5=18
Mathematics
1 answer:
Firdavs [7]3 years ago
7 0
A and C are the formulas to use
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If the Volume of a rectangular prism is 720 what is the width
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The width of the rectangular prism is 9 cm.

Step-by-step explanation:

From the formula of the volume of a bar V=whl we see that w=\frac{V}{hl}=\frac{720}{8\cdot 10} = 9 cm.

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Angle 1 and angle 3 are ___ angles.
slega [8]

Angles 1 and 3 are vertical lines and because they are vertical, both angles equal each other.

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Find the circumference of this figure. Show your calculations.
solong [7]

Answer:

Circumference of circle= 37.68 units

Circumference of sector= 6.28 units

Step-by-step explanation:

The given figure is a circle with given radius OB= 6 units.

The circumference of a circle is the total length of its boundary.

For the complete circle its circumference can be calculated by;

           Circumference= 2\pi r

                                 =2*3.14*6\\=37.68 units

For the circumference of the Sector with 60° in the figure, the circumference can be calculate by:

                              =\frac{60}{360}* 2*\pi*6\\\\=\frac{1}{6}*12*3.14\\\\ =2*3.14\\\\=6.28 units

So, the circumference of the full circle is 37.68 units and the circumference of the sector is 6.28 units.

5 0
3 years ago
Complete the system that models the heights of the ball and the receiver’s hands over time. h = -16t² 14t h = -16t² t
bogdanovich [222]

Answer: The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

A quarterback throws a football toward a receiver from a height of 6 ft. The initial vertical velocity of the ball is 14 ft/s. At the same time that the ball is thrown, the receiver raises his hands to a height of 8 ft and jumps up with an initial vertical velocity of 10 ft/s.

The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8

4 0
2 years ago
In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control
lianna [129]

Answer:

The sample space for selecting the group to test contains <u>2,300</u> elementary events.

Step-by-step explanation:

There are a total of <em>N</em> = 25 aluminum castings.

Of these 25 aluminum castings, <em>n</em>₁ = 4 castings are defective (D) and <em>n</em>₂ = 21 are good (G).

It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!(n-k)!}

Compute the number of samples that are possible as follows:

{25\choose 3}=\frac{25!}{3!\times (25-3)!}

      =\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300

The sample space for selecting the group to test contains <u>2,300</u> elementary events.

6 0
3 years ago
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