If M is the centroid of triangle ABC, AM = 44, CE =54, and DM
= 23, find each missing measure.
FM=?

The lateral area of the prism is 182 in².

A three-dimensional structure with two triangle bases and three rectangle sides is called a triangular prism. The two bases are congruent and parallel to one another. It contains 5 faces, 6 vertices, and 9 edges altogether. There are three rectangular sides connecting the vertices and edges of both bases.

The dimensions of the base of a rectangular prism is given as 6 in × 7 in.

A triangular prism's lateral area is equal to the sum of its side faces' areas (which are 3 rectangles). Specifically, it is the total surface area less the surface areas of the two bases. Additionally called the lateral surface area (LSA).

Therefore, the lateral area of the prism is:

LA = 2 ( 6 × 7 ) + 2 ( 7 × 7 )

LA = 2 × 42 + 2 × 49

LA = 84 + 98

LA = 182 in²

Therefore, the lateral area of the prism is 182 in².

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Answer:

A. 0.15

B. 0.45

C. 85

Step-by-step explanation:

Given that:

Equation to represent the relation between distance, [tex]d[/tex] in miles and time [tex]t[/tex] in seconds:

[tex]d=0.15t[/tex]

A.

To find: The speed of airplane in miles per second.

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Here, we will have to find the value of [tex]\frac{d}{t}[/tex].

Dividing the given equation by [tex]t[/tex], we get:

[tex]\dfrac{d}{t}=0.15[/tex]

[tex]d[/tex] is in miles and [tex]t[/tex] is in seconds.

Therefore, the answer is 0.15.

B.

Distance traveled in 30 seconds.

Given that: [tex]t[/tex] = 30 seconds

To find: [tex]d = ?[/tex] in miles

[tex]d = 0.15\times 3 = 0.45[/tex]

C.

The time taken to travel a distance of 12.75 miles.

Given that : [tex]d =12.75\ miles[/tex]

To find: [tex]t = ?[/tex] seconds

[tex]12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}[/tex]

Answer:

1. x = 13

2. x=17

3. y= 34

Step-by-step explanation:

Answer:

Option A: 12

Step-by-step explanation:

From the image of the triangle given, we can see that:

XM = ZM

We are given that:

XM = 2x + 2 and ZM = 4x - 8

Thus;

2x + 2 = 4x - 8

Rearrange to get;

4x - 2x = 8 + 2

2x = 10

x = 10/2

x = 5

Thus, XM = 2(5) + 2

XM = 12

Answer:

the answer is they are the same

Answer:

yes

Step-by-step explanation:

explanation: yes

me: yes

you: yes

others: yes

john cena: no :)

confusion confusion

confusion confusion

Answer:

X=5

Step-by-step explanation:

3+12x=63

Subtract 3 from both sides

12x=60

Divide both sides by 12

X=5

Answer:

Ummm... Ok... Answer: X = 187 / 39 OR X = 4.794872

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

/3  + 1 2  = 63

3(​x/3 + 12x) = 3.63

Simplify

37x = 189

Divide both sides of the equation by the same term

37x = 189

37x / 37 = 189 / 37

Simplify

x = 187 / 39

OR

x = 4.794872

Answer:

Step-by-step explanation:

Probably $20 just by estimating

Answer:

Rita's new hourly wage will be $18.72.

Step-by-step explanation:

To solve this problem, we first need to calculate 4% of $18.00 to find the raise.

18 x 0.04 = 0.72

Now, we need to add this to the original hourly wage of $18.

18 + 0.72 = $18.72

Therefore, Rita's new hourly wage will be $18.72.

Hope this helps! :D

Answer:

First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)

So we know that the two integers will be close to 8.48

Since they are consecutive, lets first test out 8 and 9

We multiply these two and get 72, which is the number we were looking for.

now we find their sum.

9 + 8 = 17

Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.

-9 + -8 = -9 - 8 = -17!

So, the answer you are looking for is E: -17

Answer: Since the total is 5 fruits, 1 is strawberry. So that would be 20 out of a 100. The percentage of strawberry is 20% of all the fruit.

The percentage of strawberries  in the fruit salad is 20%.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 1\div (1 + 4)\\\\= 1\div 5[/tex]

= 20%

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Answer:

Ben has 38 years older and jerry is 9 years old

Answer:

the first one of them is right

Answer:

11.99

Step-by-step explanation:

59.99 x .20 = 11.99

Applying exponent properties, the simplified expression is given by:

[tex]2^{12} \times 3^3[/tex]

The initial expression is given by:

[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}}[/tex]

First we simplify the roots, hence:

[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}} = (8^2 \times 6^2)^{\frac{3}{2}}[/tex]

6 and 8 can be factored as follows:

Hence:

Then:

[tex](8^2 \times 6^2)^{\frac{2}{3}} = (2^8 \times 3^2)^{\frac{3}{2}} = \sqrt{2^{24} \times 3^6} = 2^{12} \times 3^3[/tex]

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Answer:

x=-5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

==========================

Let the present ages be:

8 years ago:

At present:

Simplify and substitute d into the first equation:

Find d:

Answer:

B

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

if its colder it means the negative number must be bigger then -15oF such as -22oF and -20oF

The birth order is related to the choice of major. The statistics professor at the university polled his students in finding out the majors and position based on family birth order.

Statistics, a branch of applied mathematics, is concerned with the collection of, description of, analysis of, and inferences from quantitative data. Major contributions to the mathematical theories underlying statistics come from probability theory, linear algebra, and differential and integral calculus.

Finding valid inferences about big groups and general events from the behavior and other observable characteristics of small samples is a major challenge for statisticians, or persons who study statistics. These small samples are representative of a small subset of a larger group or a small number of isolated occurrences of a widespread phenomena.

Almost all scientific fields, including the physical and social sciences, as well as business, the humanities, government, and manufacturing, use statistics. Fundamentally, statistics is an area of applied mathematics that resulted from the application of calculus and linear algebra, among other mathematical techniques, to probability theory.

(a) answer= (113/223) * 100= 50.6725%

(b) answer = (15/43) * 100 = 34.8837%

(c) answer = (15/113) * 100 = 13.27%

(d) answer = (15/223) * 100 = 6.7264%

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Answer:

41

Step-by-step explanation:

Curtis is playing a trivia game.

Number of points earned for each correct answer = 2

Number of points lost for each correct answer = 0.25

Given that:

Number of correct answers given by Curtis = 21

Number of wrong answers given by Curtis = 4

To find:

Total score of the game by Curtis?

Solution:

First of all, let us find the points earned by correct answers.

Points earned by correct answers = Number of correct answers multiplied by Points earned on one correct answer.

Points earned by correct answers = 21 [tex]\times[/tex] 2 = 42

Now, let us find the points to be lost by wrong answers.

Points lost by wrong answers = Number of wrong answers multiplied by Points lost on one correct answer.

Points lost by wrong answers = 4 [tex]\times[/tex] 0.25 = 1

The score of the game can be calculated by subtracting the points lost from the points earned.

Score = 42 - 1 = 41

Answer:

B

Step-by-step explanation:

Answer:

d^3+4d^2-16d-64

Step-by-step explanation:

d^d+d^2*4+(-16)d+(-16)*4

d^2d+4d^2-16d-16*4

The locations of each irrational numbers can be estimated as follows:

Irrational numbers are real numbers that are not rational, that is, numbers of the form m / n, where m and n are integers and n is different of zero. But it is also known that rational numbers can have an irrational-like presentation not being so (i.e. √4 = 2, √9 = 3). We can estimate the location of each irrational numbers in terms of rational numbers:

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Answer: r = 2

Step-by-step explanation: The general equation is:

(x-a)² + (y-b)² = r²

where (a,b) = coordinates of the center, and r = radius

x² + y² = 4 is the same as

(x-0)² + (y-0)² = 2²

So, the center is at (0,0) and the radius is 2.

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of phones produced abroad and y represent the number of phones produced locally.

The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:

30x + 20y = 6000            (1)

Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:

20x + 60y = 12000           (2)

Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:

70x = 6000

x = 600/7 ≈ 86

Put x = 86 in equation 1:

30(86) + 20 y = 6000

20y = 3420

y = 171

86 phones should be produced abroad and 171 phones locally

Answer:

R=70.20-$0.80(12)

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

since the formula for a square is length times width, and that is 6 x 6 which is 36

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The value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2

Algebraic expressions are expressions composed of variables, terms, factors, constants and coefficients.

They are also made up of mathematical or arithmetic operations

Given the expression;

9 x^2 + 4 x – 11

Substitute the value of x as 3. 2

9(3.2 )² + 4(3.2) - 11

expand the bracket

9(10. 24) + 12. 8 - 11

104. 96 -11

93. 96

Substitute the value of x as -2

9(-2)² + 4(-2) - 11

9(4) - 8 - 11

17

Thus, the value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2

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Answer:

Step-by-step explanation:

1. undefined

2.undefined

3.undefined

6. undefined

thats all i know

1: 1

2: -1

3: 1/2

4: -3

5: 1/3

6: also 1

7: people might mix up x and y and instead of doing y rise/x rise, they might do x rise/y rise

I can't see 8 9 10 or 11 so I'm going to assume thats it. Hope this helped :)