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Answers

Answer 1
Answer:

Answer:

(1) equilateral triangle

Step-by-step explanation:

Firstly, we will find all angles of triangle BCD

we are given

m<C=60

m<A=35

m<ABD=25

we know that sum of all angles in any triangle is 180

so, we get

m<A +m<ABD+m<DBC+m<C=180

we can plug values

35+25+m<DBC+60=180

m<DBC=180-120

m<DBC=60

now, we can find other angle

m<DBC+m<C+m<CDB=180

now, we can plug values

60+60+m<CDB=180

m<CDB=180-120

m<CDB=60

So, we can see that

m<C=m<DBC=m<CDB=60

so, all angles are equal

so, triangle BCD is an equilateral triangle



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1. Cylinder A, B, and C have the same radius but different heights. Put the cylinders inorder of their volume from least to greatest.

Answers

The order of volume from least to greatest is C, B and A.

Step-by-step explanation:

Given:

Three Cylinders namely A, B, and C with different heights have the same radius.

To Find:

Arrange the cylinders from least to greatest with respective to their volume.

Formula for volume of cylinder:

                                               V= \pi r^(2) h

                                           i.e V∝ h              (for constant radius)

where,

           r = radius of cylinder

           h = height of cylinder

we see that Volume is directly proportional to height.

Consider, h_(1), h_(2),h_(3) are the heights of cylinder A,B,C respectively, such that;

                                    h_(1) > h_(2) > h_3}

And,  V_(1), V_(2),V_(3)  are the volume of cylinder A,B,C respectively.

So the order of volume will also be,

                                     V_(1) > V_(2) > V_3}

there are 104 students in the fourth grade at Allisons school. one day 15 4th graders were absent how many 4th graders were at school that day

Answers

Final answer:

To find the number of 4th graders at school on a day when 15 were absent, subtract the number of absent students from the total number of students. In this case, the answer is 89.

Explanation:

In Allison's school, there are 104 students in the fourth grade. One day, 15 fourth graders were absent. To find out how many fourth graders were at school that day, you would subtract the number of absentees from the total number of students:

Step 1: Start with the total number of students, which is 104.

Step 2: Subtract the number of absent students, which is 15.

The calculation should look like this: 104 - 15 = 89. So, there were 89 fourth graders at school that day.

To find the number of 4th graders at school on the day 15 were absent, subtract the number of absent students from the total number of students. In this case, there are 104 students in the 4th grade and 15 were absent, so the number of students at school that day is 104 - 15 = 89.

Learn more about Number of students at school when some are absent here:

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What is a common denominator of
1
4
and
7
10
?

Answers

Answer:

The common denominator is = 20

Step-by-step explanation:

I'm guessing its

1/4 and 7/10

= 1/4 and 7 /10

Pick the denominator

4 and 10

Find the LCM

2║4║10

2║2║5

5║1 ║5

║1 ║1

2 × 2 × 5 = 20

The common denominator for 1/4 and 7/10 is 20

20 is the common denominator

Write an equation in slope-intercept form for the line with slope -7 and y-intercept 8 . Then graph the line.

Answers

Answer:

Part 1) The equation of the line is y=-7x+8

Part 2) The graph in the attached figure

Step-by-step explanation:

Part 1)

Find the equation of the line

we know that

The equation of a line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

In this problem we have

m=-7

b=8

substitute

y=-7x+8

Part 2)

Graph the line

Find the intercepts

The y-intercept is the point (0,8) -----> given value

The x-intercept is the value of x when the value of y is equal to zero

For y=0

0=-7x+8

7x=8

x=8/7=1.143

The x-intercept is the point (1.143,0)

To graph the line plot the intercepts

see the attached figure

Mario is making dinner for 9 people. Mario buys 6 containers of soup. each container is 18 ounces. if everyone gets the same amount of soup. how much soup will each person get?

Answers

First you multiply 6 and 18 to find the total servings: 6*18= 108. Then you divide 108 by 9 to see how many servings each person gets: 108/9= 12. Therefore, each person get 12 ounces of soup.
the amount they will get is the same as everyone else

Determine the surface of the cover of a textbook that has a length of 11 inches, a width of 8 inches, and a height of 3 inches.

Answers

The answer is 264 inches when you use

the formula L × W × H which is 11 × 8 ×

3 = 264 inches