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Ad libitum [116K]
2 years ago
12

What is the volume of the figure? 10 cm 5 cm 8 cm 2 cm

Mathematics
1 answer:
Margaret [11]2 years ago
8 0
78 .................
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Point m is the midpoint of kL. M(1,-1) and L(8,-7. What are the coordinates of point k?
Phoenix [80]

Answer: (-6, 5)

<u>Step-by-step explanation:</u>

Use the Midpoint Formula: \dfrac{(x_k, y_k)+(x_L,y_L)}{2}=(x_m, y_m)

Separate the x's and y's and solve them individually:

\dfrac{x_k+x_L}{2}=x_m\qquad \qquad \qquad \qquad\dfrac{y_k+y_L}{2}=y_m\\\\\\\dfrac{x_k+8}{2}=1\qquad \qquad \qquad \qquad \qquad \dfrac{y_k-7}{2}=-1\\\\\\x_k+8=2\qquad \qquad \qquad \qquad \qquad y_k-7=-2\\\\\\x_k\quad =-6 \qquad \qquad \qquad \qquad \qquad y_k\qquad =5

            So, the k-coordinate is (-6, 5)

3 0
3 years ago
Simplify fully square root of 8 x square root of 18
Sati [7]

Answer:

12

Step-by-step explanation:

square root of 8 = 2.82842712475

square root of 18 = 4.24264068712

4.24264068712 × 2.82842712475 = 12

4 0
2 years ago
Read 2 more answers
The sum of four consecutive integers is 286. Find the four integers
8_murik_8 [283]
Step 1: Write out the problem.
Step 1: Write out the problem.
Step 1: Write out the problem.
x+(x+1)+(x+2)+(x+3)= 286

Step 2: Take out the parentheses.
x+x+1+x+2+x+3= 286

Step 3: Combine like terms.
4x+6= 286

Step 4: Subtract 6 from both sides.
4x+6 -6= 286 -6

Step 5: Divide 4 on both sides.
4x/4 = 280/4

x=70

Which means the answer is 70, 71, 72, 73

Check Work:
70+71+72+73= 286

So this is correct :)
3 0
3 years ago
What is the slope of the graph shown below?
GenaCL600 [577]

Answer:

B: -2

Step-by-step explanation:

Find the slope by counting how many times it would take to reach a point. For example, (0,1). Or use you could use the slope formula by finding two coordinates

3 0
2 years ago
A 15 ft ladder makes a 52° angle with the ground. How far will the top of the ladder be above the ground.
levacccp [35]

Answer:

11.820 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...

sin(52°) = height/(15 ft)

Multiplying by the denominator gives you ...

height = (15 ft)·sin(52°) ≈ 11.820 ft

___

You may need to round this number appropriately.

5 0
3 years ago
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