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Helga [31]
3 years ago
12

Drag the correct steps into order to evaluate 42 + t6 for t = 12.

Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

42+ (12)6=

42+72=114

Step-by-step explanation:

use pemdas to eliminate parethesis then add them together

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The oblique pyramid has a square base. What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3
Olenka [21]

Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -

An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -

\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3

<u><em>And thus, you're solution is 5 cm^3, or in other words option b!</em></u>

3 0
3 years ago
A teepee is designed to have a diameter of 10 ft and a volume of 366ft³ what is the height? A.15ft , b.14 ft, c 5ft, or 1 ft
Katarina [22]

Answer:

B.  14 ft approx

Step-by-step explanation:

Given data

A teepee  has a conical shape

Diameter= 10ft

radius= 5 ft

Volume = 366ft³

Height = ????

The expression for the volume is

V= 1/3πr^2 h

substitute

366= 1/3*3.142*5^2*h

366= 1/3*78.55*h

366= 26.18h

h= 366/26.18

h=13.98 ft

h= 14 ft approx

Hence the Height is 14 ft approx

5 0
3 years ago
Read 2 more answers
.At a certain animal shelter, the ratio of puppies to adult dogs is 7 to 4. This week there are a total of55 dogs in the shelter
Advocard [28]

Answer:

There are 35 adult dogs and 20 puppies

<em></em>

Step-by-step explanation:

<em>Represent the puppies with P and the Adult dogs with A</em>

Given

A : P = 7 : 4

Dogs = 55

Required

Determine A and P

First, we need to sum the ratios;

Total = A + P

Total = 7 + 4

Total = 11

Adult Dogs is then calculated as follows;

A = \frac{A\ Ratio}{Total} * Dogs

A = \frac{7}{11} * 55

A = \frac{385}{11}

A = 35

Puppies is calculated by subtracting the number of adult dogs from the total

P = Dogs - Adult\ Dogs

P = 55 - 35

P = 20

<em>Hence;</em>

<em>There are 35 adult dogs and 20 puppies</em>

3 0
3 years ago
Given: cos α = 4/5, sin β= 4/5, and α and β are both in quadrant 1. find sin (α+β)
mezya [45]
We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α = \sqrt{1-  ( \frac{4}{5}) ^{2} } =  \frac{3}{5} ;
cos β = \sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
8 0
4 years ago
A group of students must collect at least $120 to organize a science fair. They have already collected $30. Which graph best rep
Bezzdna [24]
Number line graph with closed circle on 30 and shading to the right
because you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.
8 0
3 years ago
Read 2 more answers
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