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Goshia [24]
2 years ago
15

There are 30 stuffed animals in a gift gallery.

Mathematics
2 answers:
Komok [63]2 years ago
6 0

Answer:

= 37

Step-by-step explanation:

30+7= 37

olganol [36]2 years ago
5 0

30+7 equals 37. There are 37 stuffed animals.

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Find the lateral area for the pyramid with the equilateral base
likoan [24]
<h3>The lateral area for the pyramid with the equilateral base is 144 square units</h3>

<em><u>Solution:</u></em>

The given pyramid has 3 lateral triangular side

The figure is attached below

Base of triangle = 12 unit

<em><u>Find the perpendicular</u></em>

By Pythagoras theorem

hypotenuse^2 = opposite^2 + adjacent^2

Therefore,

opposite^2 = 10^2 - 6^2\\\\opposite^2 = 100 - 36\\\\opposite^2 = 64\\\\opposite = 8

<em><u>Find the lateral surface area of 1 triangle</u></em>

\text{ Area of 1 lateral triangle } = \frac{1}{2} \times opposite \times base

\text{ Area of 1 lateral triangle } = \frac{1}{2} \times 8 \times 12\\\\\text{ Area of 1 lateral triangle } = 48

<em><u>Thus, lateral surface area of 3 triangle is:</u></em>

3 x 48 = 144

Thus lateral area for the pyramid with the equilateral base is 144 square units

5 0
3 years ago
100 Points List all congruent angles and write a proportion that relates the corresponding sides
Reil [10]

Answer:

Angle GHF ~ KHJ

Angle GFH ~ KJH

Angle FGH ~ JKH

Where side:

FH ~ JH

FG ~ JK

GH ~ KH

Step-by-step explanation:

6 0
2 years ago
ben is filling up his cylinder shaped pool up to 80% of its capacity . If his is 6 feet deep and has a diameter of 18 feet, how
Nady [450]

Answer:

You will put 1220.83ft³ of water in the pool

Step-by-step explanation:

First of all we have to calculate the volume of the pool and then calculate 80% of that volume

radius = half of diameter

d = 18ft

r = 18ft / 2 = 9ft

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 6ft

π = 3.14

r = radius = 9ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (9ft)²) * 6ft

v = (3.14 * 81ft²) * 6ft

v = 254.34ft² * 6ft

v = 1526.04ft³

The volume of the cylinder is 1526.04ft³

If it is filled to 80% then we have to multiply the volume by 80/100

1526.04ft³  * 80/100 = 1220.83ft³

You will put 1220.83ft³ of water in the pool

8 0
3 years ago
Compute the probability of event E if the odds in favor of E are 28 to 29.
omeli [17]
<h3>Answer:  28/57</h3>

Explanation:

The odds in favor of 28 to 29 means there are 28 ways the event E could occur and 29 ways it doesn't occur.

So there are 28 instances out of 28+29 = 57 ways total.

It leads to the fraction 28/57 which cannot be reduced further.

3 0
1 year ago
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alex41 [277]

Answer:

First solve 225/10=22.5 and use that answer to solve for x=414/22.5

your answer is 18.4

Step-by-step explanation:

7 0
3 years ago
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