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olya-2409 [2.1K]
3 years ago
13

10 POINTS!.A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one pr

ism and △DEF for the bases of the other prism. Is △ABC similar to △DEF? Explain.
Suppose the sculptor makes both prisms with the same height. Find the volume of each prism. Which prism will have a greater volume? Show your work.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

if they are similar then their sides are proportional and the following would be true:  

40/30 = 48/36  

reduce both sides:  

4/3 = 4/3  

so, yes, they are similar.

Step-by-step explanation:

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Help please!!!!!!!!!!!!!!
Lapatulllka [165]

Answer:

3(n + 2) > 0

Step-by-step explanation:

Work on a piece at a time.

"sum of a number and two": n + 2

"three times the sum of a number and two": 3(n + 2)

"three times the sum of a number and two is greater than zero": 3(n + 2) > 0

Answer: 3(n + 2) > 0

5 0
3 years ago
How to factor <br><img src="https://tex.z-dn.net/?f=3x%20-%203" id="TexFormula1" title="3x - 3" alt="3x - 3" align="absmiddle" c
Lena [83]
Take out common factor, 3 :

3x - 3 = 3(x - 1)

------------------------------------
Answer: 3(x - 1)
------------------------------------
6 0
3 years ago
I’m thinking of a number. When you multiply it by 3 and subtract 10 you will get a number less than 5. Form an inequality and so
sweet-ann [11.9K]

Answer:

3x-10

Step-by-step explanation:

Let x be equal to the number.

We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:

3x-10

To find the range of possible values, we must solve the inequality and isolate x.

3x-10

Add 10 to both sides

3x-10+10

Divide both sides by 3

\frac{3x}{3}

I hope this helps!

4 0
3 years ago
Rearrange the equation so xxx is the independent variable. 6x+y=4x+11y6x+y=4x+11y
slava [35]

Answer:

10x=10y so x and y are the same or x=y

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A
marin [14]

1) This is a Two tailed Test.

2) Decision rule is; If the p-value is greater than 4% fail to reject H₀.

3) P-value = 0.00968764 and so we reject H₀

<h3>How to state the decision rule in hypothesis testing?</h3>

We are given the hypothesis as;

Null Hypothesis; H₀: m₁ = m₂

Alternative Hypothesis; H₁: m₁ ≠ m₂

1) Since the alternative hypothesis has "not equal to sign", then it is a two tailed test.

2) Since we are told to use significance level as 0.04, then we can say that the decision rule is;

If the p-value is greater than 4% fail to reject H₀.

3) Using a 2-Sample Z-Test online TI calculator gives the test statistic as;

z = 2.5868

4) From z-score calculator, p-value equals 0.00968764. This is less than 0.04 and as such the decision regarding H₀ is to reject H₀.

5) P-value = 0.00968764

Read more about decision rule in Hypothesis Testing at; brainly.com/question/17192140

#SPJ1

3 0
2 years ago
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