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solong [7]
3 years ago
6

A triangle has angle measures that are related as follows: -the largest angle is eight times the smallest angle -the middle angl

e is triple the smallest angle find the measurements of the angles.
Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer:

The angles are 15 degrees, 45 degrees and 120 degrees

Step-by-step explanation:

The triangle has three three sides and three angles. The sum of the angles in a triangle is 180 degrees

Let x = the size of the largest angle of the triangle

Let y = the size of the middle angle of the triangle

Let z = the size of the smallest angle of the triangle.

x + y + z = 180 - - - - -- - - - - - - 1

The size of the largest angle is eight times the size of the smallest angle.

This means

x = 8z

The size of the middle angle is triple the size of the smallest angle. This means

y = 3z

Put x = 8z and y = 3z in equation 1

8z + 3z + z= 180

12z = 180

z = 180/12 = 15

x = 8z = 8×15 = 120

y = 3z = 3 × 15 = 45

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AlladinOne [14]

20 golf balls can fit in the can.

<u>Step-by-step explanation:</u>

Given:

Height (h) = 10 Inches

Volume of 15.625 Pi inches cube.

To Find:

How many balls can be filled in that can.

Solution:

Diameter of the golf ball [as per standard value] = 1.68 in

Radius of the golf ball = \frac{1.68}{2}  = 0.84 in

Volume of the golf ball = \frac{4\pi r^3}{3}

                                      = \frac{4\pi (0.84)^3}{3}

                                       = 2.5  (or)   0.79 \pi inches

Volume of the can = 15.625\pi  in^3

Now we have to divide the volume of the can by the volume of the golf ball, we will get =  \frac{15.625 \pi }{0.79\pi } = 19.7 balls

Thus we can conclude that approximately 20 balls can be filled in that can.

7 0
4 years ago
Zander is in charge of filling goodie bags for the upcoming school party.He plans to order prizes from an online party store.The
VladimirAG [237]
2 gross finger puppets; 2 gross bookmarks; 4 gross assorted pencils; 2 gross animal erasers; 2 gross foam craft kits; 2 gross glow in the dark stickers.

This gives 14 gross prizes; 14*144 = 2016.
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This gives enough extra for 27 more bags, in case more people than expected show up.
3 0
3 years ago
Show That <br><img src="https://tex.z-dn.net/?f=%20%7Ba%20%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%208" id="TexFor
Zigmanuir [339]

Answer:

Please see the attached picture for the full solution.

*From the 4th line of the 1st image, you could also expand it using

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(a -b)²= a² -2ab +b².

When squaring a fraction, square both the denominator and numerator.

➣(a/b)²= a²/b²

3 0
3 years ago
In an office building, an elevator has a maximum carrying capacity of 2,700 pounds. Based on the average weight (180 pounds male
Yakvenalex [24]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of males on the elevator

y ----> the number of females on the elevator

we know that

The inequality that represent this situation is

180x+150y\leq 2,700

The solution of the inequality is the shaded area below the solid line 180x+150y=2,700

The slope of the solid line is negative

The y-intercept of the solid line is (0,18)

The x-intercept of the solid line is (15,0)

see the attached figure

The solution is the triangular shaded area

The maximum number of females is 18 (when the number of males is zero)

The maximum number of males is 15 (when the number of females is zero)

4 0
3 years ago
Someone help this is hard
Harrizon [31]

Answer:

the bottom problem answer is 'cd=√36'

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3 years ago
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