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Finger [1]
2 years ago
5

Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?

Mathematics
1 answer:
Kobotan [32]2 years ago
8 0

9514 1404 393

Answer:

  156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

  A = 1/2bh + LW

  A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

  V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

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Right the slope intercept form for the line that travels through (4,-1) and is parallel to y=1/4x
ololo11 [35]

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

4 0
2 years ago
What is the probability of getting heads, tails, and heads, in that order, when flipping a coin? Are these events dependent or i
leonid [27]
The possiblities that exist:

H, H, H
H, H, T
H, T, H   <----
H, T, T
T, H, H
T, H, T
T, T, H
T, T, T

The answer is 1/8. Now the problem that you gave us isn't dependent upon anything, so more specifically the answer is 1/8 independent.

Nothing has actually happened therefore no odds have been decreased or increased.
6 0
2 years ago
PLEASE HELP WITH THIS ONE AS WELL! I’m struggling with Transcendental Functions!
Svetach [21]

h(x)=20e^{kx}

a. If h(1)=20, then 20=20e^k\implies e^k=1\implies k=0.

b. If h(1)=40, then 40=20e^k\implies e^k=2\implies k=\ln2, so that 2k+1=2\ln2+1.

c. If h(1)=10, then 10=20e^k\implies e^k=\dfrac12\implies k=-\ln2, so that k-3=-\ln2-3.

3 0
3 years ago
The carnival charges $5 admission and $0.50 for each ride. Alex's dad gave him $15 to spend. How many rides can he go on at most
Oxana [17]

Let us suppose number of rides is x.One ride costs $0.50.

Cost of x rides is 0.50x. The carnival charges is $5. Alex has $15 to spend .

Number of rides at most Alex can have can be given by the inequality:

0.50x+5≤ 15

To solve for x we subtract 5 both sides

0.50x≤ 15-5

0.50x≤ 10

Dividing both sides by 0.50 we have :

x≤ 20

Number of rides at most Alex can have is 20.

8 0
3 years ago
Read 2 more answers
Nick had 20% more video games than Brian together they have 55 video games how many video games does Brian have
Ulleksa [173]
55 x 0.20
11
55 + 11
66
brian has 66 games

7 0
3 years ago
Read 2 more answers
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