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mojhsa [17]
1 year ago
12

Which proportion can be used to show that the slope of AC is equal to the slope of CE?

Mathematics
1 answer:
Gnesinka [82]1 year ago
5 0

Slope is given by the expression:

m=\frac{y_2-y_1}{x_2-x_1}

We can equal both slopes of mAC and mCE

\begin{gathered} \frac{3-6}{-1-(-3)}=\frac{-3-3}{3-(-1)} \\  \\ \frac{-3}{2}=-\frac{6}{4} \\ -\frac{3}{2}=-\frac{3}{2} \end{gathered}

Answer is B.

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A carpenter is creating a circular wooden table with a radius of 4 feet and needs to know the area of the table to purchase the
JulijaS [17]

Answer: The area of the circular wooden table = 50.24 ft²

Step-by-step explanation:

Given: The radius of the circular table = 4 feet

We know that area of a circle is given by :-

\text{Area}=\pi r^2

Therefore, the area of circular wooden table is given by :-

\text{Area}=3.14(4)^2\\\Rightarrow\ 3.14\times16\\\Rightarrow\text{Area=}50.24\ ft^2

The area of the circular wooden table = 50.24 ft²

3 0
3 years ago
Read 2 more answers
If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?
andre [41]

Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

^nC_k=\frac{n!}{k!(n-k)!}

in our given question, n= 7, k= 4

Putting values:

^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Keywords: Probability

Learn more about Probability at:

  • brainly.com/question/1637111
  • brainly.com/question/2254182
  • brainly.com/question/2264295

#learnwithBrainly

7 0
3 years ago
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar
matrenka [14]

Answer:

The height of the tree is  

18.67

feet

Step-by-step explanation:

Explanation:

The pole and the tree both cast shadows. The triangles which form are similar triangles, because the sun is shining from the same angle in the sky.

You can write this as a direct proportion. (height : shadow)

2 is to 1.5 as what is to 14?

2

1.5

=

x

14

     

←

cross multiply

x

=

2

×

14

1.5

x

=

18.67

feet

7 0
2 years ago
What is the correct answer?
iragen [17]

Answer:

F

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLS HELP!!!!
lara31 [8.8K]
The answer is <span>D. –1 + 2 = 1

</span>
8 0
3 years ago
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