What is the volume of this right prism?

1200 in3
1800 in3
2040 in3
3600 in3

The constant sum for the ellipse with the foci (-5,5) and (0,7) and the point (0,5) is 7

The foci of the ellipse are given as:

F1(−5, 5) aF2(0, 7)

The point is then given as:

Point (0, 5)

Calculate the distance between each focus and the point using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]F_1 = \sqrt{(-5-0)^2 + (5-5)^2}[/tex]

Evaluate

[tex]F_1 = 5[/tex]

Also, we have:

[tex]F_2 = \sqrt{(0-0)^2 + (7-5)^2}[/tex]

Evaluate

[tex]F_2 = 2\\[/tex]

The constant sum is then calculated using:

Constant sum = F1 + F2

So, we have:

Constant sum = 5 + 2

Evaluate

Constant sum = 7

Hence, the constant sum is 7

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Answer:

Cole has 15 pencils.

Step-by-step explanation:

First, we have the equation c + o =18, c representing cole, and o representing connor.

From there, we get 5o=c

Using substitiution, we get o=3

5(3)=15

15+3=18

Answer:

50 degrees

Step-by-step explanation:

For a RIGHT triangle   tan A = opposite side / adjacent side

tan A = 12/10

arctan ( tan A) = A = arctan (12/10) = 50.19 degrees

The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times and so on.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

Draw dots on each of the data element in the data set:

25 repeated 1 time

25 1/2 repeated 2 times

26 repeated 1 time

27 3/4 repeated 1 time

and so on.

Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times and so on.

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Answer:

they all passed away so they went back to GRU and he burried them and at their f l e s h, The rest all ran away.

Answer:

See below ~

Step-by-step explanation:

Solving the inequality :

Plotted graph :

Answer:

friday

Step-by-step explanation:

8th day will be monday

then 32 nd will be monday.

so 36th is friday

Answer: 11 cm

Step-by-step explanation:

        Let x be the length of one of the other sides. If two are equal, then they both will be 2x.

       Then one side is equal to 14 cm.

       All the sides added together, the perimeter, is equal to 36 cm.

      We will take the numbers we pulled from the problem, create an equation, and solve for x.

36 cm = 14 cm + 2x

22 cm = 2x

11 cm = x

          The length of each of the two other sides is 11 cm.

Answer:

[tex]\angle{EBC}=35\textdegree[/tex]

An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.

Step-by-step explanation:

Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:

It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.

Answer:

w=39 degrees and r=51 degrees

Step-by-step explanation:

The sum of the angles in a triangle should equal 180 degrees. Knowing this we take (38+103) - 180 = 39. Since opposite angles are always congruent, we can conclude that w is also 39 degrees. Thus we take (39+90)-180 = 51 degrees. (We know that one side is 90 degrees because it has a right angle)

Hope that helps! :)

Answer:$11.5

Step-by-step explanation:

Admission = $9 charged once

each ride = $2.5x (x=number of rides)

Total cost for x rides

=2.5x+9

To add more answer options, click the + Add an answer button below the answer options A and B. You can add up to 10 answer options in total for a multiple choice question. Indicate the correct answer(s) using the checkbox(es) aligned to the right of the answer options

Step 1: 8 + 2 + (3 × 1)

Step 2: 8 + 2 + 3

Step 3: 10 + 3 [ corrected]

Step 4: 13

The solution to the question is [tex]\rm 16\dfrac{1}{2}[/tex] .

Whole numbers is a collection of all the basic counting numbers and 0. In mathematics, counting numbers are called natural numbers.

So, we can define the whole number as a collection of all natural numbers and 0. Whole numbers also include all positive integers along with zero.

A proper fraction is a fraction whose numerator is smaller than its denominator.

An improper fraction is a fraction whose numerator is equal to or greater than its denominator.

The given question is [tex]\rm 6\dfrac{3}{4} + 4\dfrac{2}{4} +5\dfrac{1}{4}[/tex]

this can be also written as

[tex]\rm \dfrac{27}{4} +\dfrac{18}{4} +\dfrac{21}{4}[/tex]

as they have same bases

[tex]\rm \dfrac{66}{4}\\\\\\\dfrac{33}{2}\\\\16\dfrac{1}{2}[/tex]

Therefore this is the solution.

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There are 16 parents.

12 of the parents match the criteria.

12/16×100

=75%

Answer:

the answer is 720

Step-by-step explanation:

I took the test

Answer:

1 or 100%.

Step-by-step explanation:

The probability of rolling less than 7 is equal to the probability of rolling 1 or 2 or 3 or 4 or 5 or 6. That is 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6. So any number from the dice can come up when you roll it because a perfect dice has 6 sides.

Answer: 8 proposals per hour

Step-by-step explanation: 40/5 = 8

Answer:

First option, incorrect....

Step-by-step explanation:

This is because the interval is either below or above 26.8 by 0.6

-+ means

26.8 + 0.6 = 27.4

26.8 - 0.6 = 26.2

The confidence interval % can change

- The second option states 28 but that is not in the interval

- The third option is somewhat right but the parameter should be emphasized how confident you are

- The last option is wrong since it has the word "every young" when the initial sentence was the mean

The perimeter of the triangle ABC is [tex]10+\sqrt{10}[/tex] [tex]units[/tex].

The given parameters:

The length of AC = 3-(-2) = 5 unit

The length of AC = length of BC = 5 unit

The length of BC is calculated by applying Pythagoras theorem as follows;

[tex]BC^2=(4-1)^2+(3-2)^2[/tex]

[tex]BC^2=3^2+1^2[/tex]

[tex]BC^2=10[/tex]

[tex]BC=\sqrt{10}[/tex]

The perimeter of the triangle ABC is calculated as follows;

[tex]P=AB+AC+BC[/tex]

[tex]P=5+5+\sqrt{10}[/tex]

[tex]P=10+\sqrt{10[/tex]  [tex]units[/tex]

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Answer:

y=-x+1

Step-by-step explanation:

7+(10−4)2:4⋅231=7+62:4⋅81=7+36:4⋅81=7+9⋅81=7+89=7+181=881

Answer:

9.9

Step-by-step explanation:

Volume of cube= side x side x side = (side)³

(side)³ = 979

= side = ∛979

= 9.9

The area of the irregular polygon = area of the 2 triangles + area of the rectangle = 25 units².

The irregular polygon can be decomposed into two triangles and a rectangle.

Area of triangle AGE = ½bh = ½(6)(3) = 9 units²

Area of triangle EGF = ½bh = ½(2)(4) = 4 units²

Area of rectangle ABCD = (length)(width) = (4)(3) = 12 units²

Area of the irregular polygon = 9 + 4 + 12 = 25 units².

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Survey 50 randomly selected seventh-grade students at each of the district’s middle schools. Then the correct option is A.

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

The athletic director of a large school district with about 1,500 seventh-grade students in five different middle schools wants to know which sport is most popular among seventh graders.

The survey method is the best to use will be

Random sampling is the method of selecting the subset from the set to make a statical inference.

Survey 50 randomly selected seventh-grade students at each of the district’s middle schools.

Thus, the correct option is A.

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[tex]144x^2-100[/tex]

looking at the original equation, you'll notice that it is a difference of squares therefore the factored form will look like something like this:

[tex](ax-b)(ax+b)[/tex] where a and b are the two numbers and the x represents the variable.

This would be the factored form:

[tex](12x-10)(12x+10)[/tex]

It can then be simplified to this:

[tex]2(6x-5)2(6x+5)[/tex]

and this would be its fully factored form:

[tex]4(6x-5)(6x+5)[/tex]

Answer:

when you are comparing two sets of data, and one set is strongly skewed and the other is symmetric, which measures of the center and variation should you choose for the comparison?

Explanation:

The corresponding sides are congruent, so we simply need to state that fact and invoke the SSS congruence postulate.

__

Statement . . . . Reason

AB≅DC, CA≅BD . . . . given

BC≅CB . . . . reflexive property

ΔABC ≅ ΔDCB . . . . SSS congruence postulate

Answer:

(x+10)(x-10)

Step-by-step explanation:

The factor for x+10 is x+10 itself.

(x+10) = x+10

(x+10) occurs 1 time.

The factor for x-10 is x-10 itself.

(x-10) = x-10

(x+10) occurs 1 time.

The LCM of x+10, x-10 is the result of multiplying all factors the greatest number of times they occur in either term.

(x+10)(x-10)

Answer:

JML = 176°

Step-by-step explanation:

JML = 2 angle JKL

= 2 × 88°

= 176°

HOPE THIS HELPS AND HAVE A NICE DAY <3