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Ira Lisetskai [31]
3 years ago
10

In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter

of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44? A.154d = (14)(44) B.154/d = 44/14 C.14d = 154/44
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0
The answer is <span>B.154/d = 44/14 
</span>
<span>In a circle, the circumference (C) and diameter (D) vary directly:
C = kD
k = C/D

Circle 1: k = C1/D1
Circle 2: k = C2/D2</span>

C1/D1 = C2/D2
C1 = 154
D1 = ?
C2 = 44
D2 = 14

154/D1 = 44/14
So, the choice B. is correct.
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Solve the system of equations.<br> -10x+3y=5 <br> x=y-4
blsea [12.9K]

Answer:

x=y-4                                          -10x+3y=5

y=x+4                                     y=10/3x+5/3

        x+4  =10/3x+5/3              

x=1

y=1+4                                      y=10/3(1)+5/3

y=5                                                    y=5

so

x=1

y=5

(1,5)

5 0
3 years ago
A large bowl contains 10 small balls and each ball has a color and a number. The 10 balls are denoted by B1, B2, B3, B4, R1, R2,
nasty-shy [4]

Answer:

Size of N(S) = 90, or S=90

Step-by-step explanation:

So since there are 10 items:

Each single item has 9 possibilities to be paired with, since it is drawn without replacement, and 1 item can't be drawn again.

So : 10 items x 9 possibilites = array of 90

SO ANSWER : 90

Hope I helped :)

4 0
3 years ago
Simplify: 4(2b + 2) – 3​
nata0808 [166]

Answer:

=8b + 5

Step-by-step explanation:

do you need an explantion

5 0
3 years ago
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The midpoint of UV is point W. What are the coordinates of point V?
madreJ [45]

Since you don't provide the coordinates of the point W, I will help you in a general form anyway. In the Figure below is represented the segment that matches this problem. We have two endpoints U and V. So, by using the midpoint formula we may solve this problem:

Midpoint=W=W(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})=W(x_{3}, y_{3}) \\ \\ where:\\ \ U=U(x_{1}, y_{1}) \ and \ V=V(x_{2}, y_{2}) \\ \\ and: \\ x_{3}=\frac{x_{1}+x_{2}}{2} \\ y_{3}=\frac{y_{1}+y_{2}}{2}

Therefore:

x_{2}=2x_{3}-x_{1} \\ y_{2}=2y_{3}-y_{1}

So we know x_{3} \ and \ y_{3} but we also must know x_{1} \ and \ y_{1}

Finally, knowing the points U and W we can find the endpoint V.

7 0
3 years ago
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A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?
lianna [129]

Answer:

The area of the sector is 12.8\pi\ units^2

Step-by-step explanation:

we know that

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4 0
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