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Arada [10]
3 years ago
6

What is the variable of 6(x+5)= -36

Mathematics
1 answer:
levacccp [35]3 years ago
3 0

6 (x + 5) = -36

6x +30 = -36 (distribute)

6x +30 (-30) = -36 -30

6x = -66

x = -11

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2(x + 3)=x - 4<br>help me ​
Irina18 [472]

Answer:

x = -10

Step-by-step explanation:

2(x+3) = x-4 --> multiply (x+2) times 2

2x+6 = x - 4 --> subtract x from both sides

x+6 = -4 --> subtract 6 from both sides

x = -10

4 0
2 years ago
Read 2 more answers
The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.
gavmur [86]

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

A_{circle} = \pi r^2

\pi r^2 = 46

r^2 = \dfrac{46}{\pi}

r = \sqrt{\dfrac{46}{\pi}}

r = 3.83 ~in.

surface area of sphere

SA = 4 \pi r^2

SA = 4 \times \pi \times (3.83)^2

SA = 184~in.^2

7 0
3 years ago
Find the area of the triangle below.
gulaghasi [49]

Answer:

Gọi AH là đường cao kẻ từ A đến BC

Xét tam giác AHC vuông tại H

Suy ra AH = HC. cotA= 9.cot35° = 12,9

Xét tam giác AHB vuông tại H

Suy ra BH = AH.tanA = 12,9.tan61°=23,37

Ta có BC= HC+ HB= 9+23,27 =32,27

Diện tích tam giác ABC = 1/2 × AH ×BC= 1/2 ×12,9×32,27=208,1415

8 0
2 years ago
Please help me this packet is due at 6 p.m please help me ill give brainlist
Viefleur [7K]
The correct answer is 600. For area do you Base times height which is 20×30 which equals 60.
5 0
3 years ago
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A donut store has 11 different types of donuts. You can only buy a bag of 3 of them, where each donut has to be of a different t
MakcuM [25]

Answer:

165.

Step-by-step explanation:

Since repetition isn't allowed, there would be 11 choices for the first donut, (11 - 1) = 10 choices for the second donut, and (11 - 2) = 9 choices for the third donut. If the order in which donuts are placed in the bag matters, there would be 11 \times 10 \times 9 unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type 3 \times 2 \times 1 = 6 times.

For example, if a bag includes donut of type x, y, and z, the count 11 \times 10 \times 9 would include the following 3 \times 2 \times 1 arrangements:

  • xyz.
  • xzy.
  • yxz.
  • yzx.
  • zxy.
  • zyx.

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count 11 \times 10 \times 9 by 3 \times 2 \times 1 = 6 to find the actual number of donut combinations:

\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of 3 objects from a set of 11 distinct objects:

\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

5 0
2 years ago
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