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Papessa [141]
3 years ago
12

What is the measure of angle ABC

Mathematics
1 answer:
zvonat [6]3 years ago
3 0
ANSWER = c. 63°

EXP:

>ABC = 1/2(x + y)
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A candle maker has rectangular block of paraffin that is 4 centimeter high by 8 centimeter long by 6 centimeter wide. He melts i
Veronika [31]

Answer:

The candle will not use all the paraffin from the original block.

Step-by-step explanation:

The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.

If the height of the cone is 25 cm, then total volume of the cone shaped candle is  

\frac{1}{3}\pi  r^{2} h

= \frac{22 \times 2.5^{2} \times 25 }{3 \times 7}

= 163.69 cubic cm.

Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.

Since, 192 > 163.69

Therefore, the candle will not use all the paraffin from the original block.

5 0
3 years ago
A line passes through the point (-9,3) and has a slope of -2/3?
saveliy_v [14]

The point-slope form:

y-y_1=m(x-x_1)

We have the slope m = -2/3 and the point (-9, 3). Substitute:

y-3=-\dfrac{2}{3}(x-(-9))

y-3=-\dfrac{2}{3}(x+9)      <em>use distributive property</em>

y-3=-\dfrac{2}{3}x-\dfrac{2}{3}\cdot9

y-3=-\dfrac{2}{3}x-(2)(3)

y-3=-\dfrac{2}{3}x-6     <em>add 3 to both sides</em>

\boxed{y=-\dfrac{2}{3}x-3}

5 0
3 years ago
Enrique and Yolanda collected 500 pieces of candy on Halloween. They gave half of their candy to charity. Yolanda took 180 piece
777dan777 [17]
The answer would be C. (He counted Yolanda's candy as his own).

This is found by multiplying 500 (starting number of candy) and .64 (percentage divided by a hundred). Thjs would guve you 320, which you would then subtract from the starting number of candy (500) to get 180. 180 is Yolanda's number of candy, which gives you the answer.
4 0
3 years ago
Margo missed 24.6% of the free throw shots in a season. During the season she took a total of 90 free throw shots. Which of the
Leviafan [203]
90 shots times 24.6% = 22.14

He missed roughly 22 shots
7 0
3 years ago
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Find the product. Write your answer in exponential form. 4 8 • 4 -5
Ymorist [56]

Answer: im sorry i need the points

Step-by-step explanation: ......

3 0
3 years ago
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