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Len [333]
3 years ago
11

9) Choose all expressions that are equivalent to 3x + 6 (Use

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor out 3.

3(x+2)

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Three eights of the cast in a musical have to sing. What fraction of the cast does not have to sing
pychu [463]
3/8 has to sing
8/8 is all
all=haveto+don'thaveto
all=8/8
haveto=3/8
subsitute
8/8=3/8+don'thaveto
subtract 3/8 from both sides
8/8-3/8=5/8
5/8=don'thavetosing

answer is 5/8
3 0
3 years ago
Read 2 more answers
Help me solve it please
snow_tiger [21]

Answer:

\fbox{\begin{minipage}{5.8 em}x =5.97 cm\end{minipage}}

Step-by-step explanation:

(1) As definition, the area (A) of a circle is calculated by:

A = \pi x r^{2} with r is radius of circle.

(2) The relation between radius (r) and diameter (d_{1}) of a circle is:

d_{1} = 2 x r

(3) Applying the Pythagorean theorem for a square with sides of length x,

the relation between side x and diagonal d_{2} is:

x^{2} +x^{2}  = d^{2} \\or\\2x^{2} = d^{2}

=> The diagonal (d_{2}) of that square is calculated by:

d_{2} = x\sqrt{2}

(4) The square fits exactly inside a circle, with each of its vertices being on the circumference of the circle.

Applying the theorem of inscribed angle in a circle, the measure of arc BD is twice as the measure of inscribed angle BAD.

In other words, the measure of arc AC = 2 x 90 = 180 deg, or half of circle.

It means that the diagonal BD is coincide with a diameter of circle.

=> d_{1} = d_{2}

or 2 x r = x\sqrt{2}

or r = x\frac{\sqrt{2} }{2}

Substitute r back into original formula used for calculating the area of circle:

=> A = \pi x (x\frac{\sqrt{2}}{2})^{2} = \pi x \frac{x^{2}}{2}

=> x^{2}  = A x \frac{2}{\pi }

=> x = \sqrt{A} x \sqrt{\frac{2}{\pi } } = \sqrt{56} x \sqrt{\frac{2}{\pi } } = 5.97 cm

Hope this helps!

:)

4 0
3 years ago
List 3 values that would make this in quality true. 48<6n
Helen [10]
The 3 values would be 9 , 10 and 11.

because:

48<6(9)
48<54

48<6(10)
48<60

48<6(11)
48<66
6 0
3 years ago
Please help!! Will give brainiest!1 Im so confused
Lubov Fominskaja [6]

Answer:

i dont know

Step-by-step explanation:

5 0
3 years ago
A random sample of 4000 U.S. citizens yielded 2150 who are in favor of outlawing cheesing. Find the point estimate for estimatin
Darina [25.2K]

Answer:

0.5375

Step-by-step explanation:

The point estimate of  proportion of all Americans who are in favor of outlawing cheese can be computed as

p=x/n

Here. x is the number of favorable outcomes and n is sample size.

We are given that x=2150 and n=4000, So,

p=2150/4000

p=0.5375.

Thus, the point estimate of  proportion of all Americans who are in favor of outlawing cheese is 0.5375.

6 0
4 years ago
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