Check the box labeled Show Altitude of Triangle ABC. The altitude divides into and through the point you determined in question 2. Measure and record the side lengths of and . Then measure and record the side lengths of and .

Answer: C

Step-by-step explanation:

The formula for a volume of a square-based prism is L² x h

If we insert 2 for L

We get 2² x 12 = 48

Same thing if we insert 3

3² x 12 = 108

As L is increasing, the volume is also increasing, so options A and D are out

The growth of the volume is not linear; it's exponential, eliminating B to make C the answer

If you want something visual, you can put y=12x² into a graphing calculator.

Answer:

600 ft³

Step-by-step explanation:

Base area: B

Base is triangle

base = 12 ft and height = 5 ft

Area of triangle = B = [tex]\frac{1}{2}* \ base * \ height[/tex]

                                 [tex]= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}[/tex]

H = 20 ft

Volume = B * H

             = 30 * 20

             = 600 ft³

ω in terms of m and k is expressed as  [tex]\omega = \sqrt{\frac{k}{m} }[/tex]

The given expression is as follows;

     [tex]T_s = 2\pi \sqrt{\frac{m}{k} } , \ \ \\\\ T_s = \frac{2\pi}{\omega}[/tex]

To find:

From the given expression above make ω the subject of the formula;

[tex]T_s = \frac{2\pi}{\omega} = 2\pi \sqrt{\frac{m}{k} } \\\\ \frac{2\pi}{\omega} = 2\pi \sqrt{\frac{m}{k} }\\\\ \frac{2\pi}{\omega} = \sqrt{4\pi^2\frac{m}{k} }\\\\square \ both \ sides \ of \ the \ equation;\\\\(\frac{2\pi}{\omega})^2 = 4\pi^2\frac{m}{k} \\\\\frac{4\pi^2}{\omega^2}= \frac{4\pi^2m}{k} \\\\\omega^2 4\pi^2m = k4\pi^2 \\\\divide \ both \ side \ by \ 4\pi ^2 \\\\\omega^2 m = k\\\\divide \ both \ sides \ by \ m\\\\\omega^2 = \frac{k}{m} \\\\[/tex]

[tex]take \ the \ square \ root \ of \ both \ sides \ of \ the \ equation\\\\\omega = \sqrt{\frac{k}{m} }[/tex]

Therefore, ω in terms of m and k is expressed as [tex]\omega = \sqrt{\frac{k}{m} }[/tex]

To learn more about subject of formula visit: https://brainly.com/question/15469690

Answer:

Step-by-step explanation:

7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis

7x -14 -3x -9 = 5x -15 +x , isolate like terms

7x -3x -5x -x = 14 +9 -15, combine like terms

-2x = 8, divide both sides by -2

x= -4

Answer:

b  11-2y

Step-by-step explanation:

Answer:

Jordans' age = 31 ; Anna's age = 19

Step-by-step explanation:

Given the 2 equations relating their ages

J + A = 50 → (1)

J = 12 + A → (2)

Substitute J = 12 + A into (1)

12 + A + A = 50

12 + 2A = 50 ( subtract 12 from both sides )

2A = 38 ( divide both sides by 2 )

A = 19

Substitute A = 19 into (2)

J = 12 + 19 = 31

Then Jordans' age = 31 ; Anna's age = 19

Answer:

Step-by-step explanation:

J = 12 + A equation 1

J + A = 50 equation 2

Solving equation 2

J + A = 50

A = 50 - J equation 3

Putting value of A in equation 1

J = 12 + A

J = 12 + 50 - J

Bringing like terms on one side

J + J = 12 + 50

2J = 62

J = 62/2 = 31

Putting value of J in equation 3

A = 50 - J

A = 50 - 31 = 19

Checking answer by putting values in equation 2

J + A = 50

31 + 19 = 50

50 = 50

So the age of Jordan is 31 and Anna is 19

Answer:

see below

Step-by-step explanation:

The absolute value is the distance from zero.

It is the non-negative quantity.

Answer:

The equation 31=2c-7 to determine the number of points Carlos scored in the last game.

Step-by-step explanation:

We are given with,(I think every number is repeating for 3 times. So, I took each number as once)

Fabio had 7 less than 2 times as many points as Carlos. And Fabio score 31 points.

Let Carlos scored in the last game as "C".

So, we can set up equation for Fabio had 7 less than 2 times Carlos as

Fabio= 2C-7

Like so for Fabio score 31 as

Fabio =31

So, substitute Fabio as 31 into the first equation, we get

31= 2c-7

So, the equation 31=2c-7 to determine the number of points Carlos scored in the last game.

Answer:

C

Step-by-step explanation:

5a + 18 < -27

5a < -45

a < -9

Graph C matches the solution set of this inequality.

Answer:

60

Step-by-step explanation:

x²=36×(64+36)

x=√3600

x=60

Answer: (6+6/6)*(6-6)= 0

Answer:

The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5

Answer:

A=b×h

A=13.8×6

A=82.8 in²

A≈83in²

Step-by-step explanation:

Answer:

12345678910

iya lina beb

Answer:

No solutions to the problem

Step-by-step explanation:

Wolfram Alpha for more info

Answer:

80m

Step-by-step explanation:

(20x2) =40m + 40m= 80m

Answer:

True, they may not be congruent

Step-by-step explanation:

A figure cannot be determined as congruent from three angles alone. In order  for two shapes to be congruent, all corresponding parts must be congruent. This means all the sides and angles of the two shapes must be the same in order for the two shapes to be congruent. If we know all the angles are the same, the sides could still be different lengths, so this does not prove congruency.

The triangles shown below may not be congruent is True statement.

Two geometric figures are said to be congruent, or to be in the relationship of congruence, if one can be superimposed on the other and they correspond throughout.

In both Triangle we can see that

2 Angles measures 25.

2 Angles measures 100.

and, 2 angles measures 55.

As, we know there no Congruence rule for AAA.

Thus, both triangles are not Congruent.

Learn more about Congruency here:

https://brainly.com/question/7888063

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7^2/7^-2 and (7^2)^2

Answer:

f (x)=11

Step-by-step explanation:

f (x)= x + 8

f (3)= (3 +8)

=f(x) =11

**replace the x with a variable which is 3

Answer:

x=13

Step-by-step explanation:

Answer:

Not enough information

Step-by-step explanation:

Similar triangles must have congruent corresponding angles and proportional corresponding sides.

Answer:

not enough information

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

m(x2-x1)= y2-y1

y2= m(x2-x1) + y1

Answer:

[×1] +16=10

×=10-16

×=-6

Answer:

x=5 and x=-5

Step-by-step explanation:

First subtract 16 from both sides.

Then solve for x+1=6 and x+1=-6

you answer should be x=5 and x=-5

Answer:

this is a 60 60 60 triangle, so one exterior angle is 120 degrees.

Step-by-step explanation:

hope it helps!

It takes 0.57 seconds per copy and he made 6 copies.

6 + 0.57 = 6.57

He added 6 and 0.57 instead of multiplying.

The easiest way to figure this out would be to do the problem by ourselves:

0.57 · 6 = 3.42, so it will take about 3.5 seconds.

We can say that Jasper got a way different answer, so it must be something wrong with the way he multiplied. When we look through the answers and we see that rather than multiplying, Jasper added, so our answer is:

He added 6 and 0.57  instead of multiplying.

g = -3,5

8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =

= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4

Answer:

Step-by-step explanation:

Find the square of 4100 by long division method

As 4100 is not a perfect square, it will have balance.

Now Find 65 * 65 = 4225

4225 - 4100 = 125

125 should be added to 4100 to get a perfect square

4225  = 5 * 5 * 13 * 13

[tex]\sqrt4225}=\sqrt{5*5*13*13}=5*13=65[/tex]

Nearest square of 4100.

[tex]\\ \sf\longmapsto 4225-4100[/tex]

[tex]\\ \sf\longmapsto 125[/tex]

125 should be added

Answer: A) The degree of the polynomial is even

We can determine this by noticing that the end behavior is different on both sides. The left end goes downward while the right end goes upward. This opposing nature indicates we have an odd degree function like a cubic. If this was an even degree function, then the left end must also point upward to mirror the right end. That's why choice A is the final answer.

Choice B can be ruled out since it's a true statement. This is because the right end behavior goes to positive infinity. Such end behavior is tied to positive leading coefficients (whether even or odd functions, it doesn't matter).

Choice C is also true and can be ruled out because this function curve does have one relative minimum. It's the location where the curve bottoms out in the valley at around x = 3.5 or so. It's the lowest point in the neighborhood/interval of points.

Choice D can be ruled out for similar reasons as choice C, except this time we're looking at the highest point in a certain neighborhood. That highest point occurs somewhere between x = 1.5 and x = 2 where the peak of the hill is located.

To rephrase those last three paragraphs: choices B through D are true statements, so they can be ruled out.