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avanturin [10]
3 years ago
12

A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β (see the figure) so that the cone

will have a volume of 60 in3.
β = °
Mathematics
1 answer:
Aneli [31]3 years ago
7 0
I don't know where the angle β is, so I will make the assumption that tanβ = h/r
V = \frac{1}{3} \pi r^{2} h

V volume = 60
r radius = 2
h = r tanβ

tan \beta = \frac{3V }{ \pi  r^{3} } = \frac{ 180}{25,1} = 7,17 \\  \\  \beta = 82
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What is an equation of the line that passes through the points (−7,−7) and (−5,−3)?
Lana71 [14]
The answers is -10/13
3 0
3 years ago
Me ajudem com a 3º questão
Alisiya [41]

I can't read that language but I'll guess it says write a second degree equation then solve for n when d=10.

10 = \dfrac{n(n-3)}{2}

20 = n^2 - 3n

n^2 - 3n - 20 = 0

Answer: n² - 3n - 20 = 0

That doesn't factor so there is no integer n solution.

That means there are no polygons with 10 diagonals.

n = \frac 1 2(3 \pm \sqrt{89})

7 0
2 years ago
the length of a rectangle is 2 in more than it's w i d t h the area of a rectangle is equal to 1 inch less than three times a pe
Marizza181 [45]
If we let x and y represent length and width, respectively, then we can write equations according to the problem statement.
.. x = y +2
.. xy = 3(2(x +y)) -1

This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).

The length of the rectangle is 13 inches.
The width of the rectangle is 11 inches.

______
Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.

6 0
3 years ago
Please help ill give brainiest answer
trapecia [35]

Answer:

1: AAS, RQC 2: ASA, SRP

Step-by-step explanation:

(1) We are shown that two angles and one side are congruent in the order of AAS. Make sure you write the letters in terms of the corresponding angles. The angles and sides are congruent because the problem labels it for us. For example, B,A,C=R,Q,S. Answers: AAS, RQC.

(2) We are shown that two angles and one side are congruent in the order of ASA. Make sure you write the letters in terms of the corresponding angles again. For example, P,Q,R=P,S,R. The angles are congruent because the problem labels it for us. Side PR is congruent to side PR by reflexive property. Answers: ASA, SRP.

I hope this helped :) Good luck

4 0
3 years ago
BEST ANSWER WILL BE MARKED BRAINLIEST
ddd [48]

Answer:

<em>4 shelves</em>

Step-by-step explanation:

First you will have to subtract the one she keeps by her bed.

27 - 1 = 26 to be put on a shelf.

To find the least number of shelves needed, you will divided the total left by eight:

26 ÷ 8 = 3.25

She can fill 3 shelves completely and still have books left over. So she needs at least 4 shelves!

Love your profile pic btw! :)

5 0
2 years ago
Read 2 more answers
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