2. (a) Find the area of this triangle.




12 cm



9 cm
(b) Suppose the base is doubled. Explain what happens to the original area.




(c) Suppose both the height and the base of the original triangle are doubled.
Explain what happens to the original area.

Answer:

1428 in³

Step-by-step explanation:

To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism [tex](A=l*w*h)[/tex] and volume of a triangular prism.

[tex](A=\frac{1}{2} (b*h )[/tex]

If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:

17 × 8 × 5 = 680 in³.

Solving for the triangular prism gives us:

A = 1/2 (11 ×  8 × 17)

A = 748.

Add these two volumes to find the volume of the composite figure:

748 + 680 = 1428 in³

Hope this helps!

(THERE ARE NO LINKS STOP REPORTING ME)

Answer

YES

Step by step Explanation

Answer:

There is not information given to assume the triangles are congruent.

Step-by-step explanation:

You can tell if two triangles are congruent by any of the following rules:

Three sides are congruent (SSS),

Two angles and a side in between are congruent (ASA)

Two sides and an angle in between are congruent (SAS)

Two angles and a side connected to one of those angles are congruent (AAS)

Note: SSA (Two Sides & One Angle) does not work. I good way to remember is that it spells a bad word backwards :)

In this case, there are only two sides given, but there aren't any angles, so there is not enough information to conclude if they are congruent or not.

Answer:

3

Step-by-step explanation:

a cube has 6 sides, and each side is 0.5, if you add 0.5 6 times you will get 3

Answer:

(3,-7)

Step-by-step explanation:

10x +17y = -89

-(10x + 14y = - 68)

3y = -21

y = -7

5x + 7(-7) = -34

5x -49 = -34

5x = 15

x = 3

Answer: 20%

Step-by-step explanation:

The total # of plants is 30, so what you do is take the # of tomatoes over 30. (6/30) and then x/100 so the formula would be 6/30=x/100. Then you would cross multiply and solve! so your answer is 20%

Answer: 3!

Step-by-step explanation:

Answer:

The angle vertical to angle 2 is 3.

Hope it helps :)❤

Answer:

25%

is that what you were looking for?

Answer:

2x + y = -2, x + 2y = 2

4x + y - 2z = 0, 2x+ 3z = 9 , -6x - 2y + z = 0

x + y = 4 , x - y = 2

Step-by-step explanation:

Answer:

x=2 and y=−5

Step-by-step explanation:

Let's solve your system by elimination.

7x−y=19;2x−3y=19

Multiply the first equation by -3,and multiply the second equation by 1.

−3(7x−y=19)

1(2x−3y=19)

Becomes:

−21x+3y=−57

2x−3y=19

Add these equations to eliminate y:

−19x=−38

Then solve−19x=−38for x:

−19x=−38

(Divide both sides by -19)

x=2

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

7x−y=19

Substitute2forxin7x−y=19:

(7)(2)−y=19

−y+14=19(Simplify both sides of the equation)

−y+14+−14=19+−14(Add -14 to both sides)

−y=5

y=-5

Answer:

A and B.

Step-by-step explanation:

The irrational number are -√3 +2  and √2 x √3.

Any number that cannot be stated as a fraction for any integers is considered to be irrational. The decimal expansions of irrational numbers are neither periodic nor do they come to an end. Every number that is transcendental is illogical.

Given:

A) -√3 +2 is an irrational number.

B) √2 x √3 = √6, which is an irrational number.

C) √27 x √ 3

= 3√3 x √3

= 3 x 3

= 9, which is a rational number.

D)  3√7 + 2√7-5√7

= 5√7- 5√7

= 0, which is a rational number.

Learn more about irrational number here:

https://brainly.com/question/17450097

#SPJ2

Answer:

70

Step-by-step explanation:

Answer:

k=70

Step-by-step explanation:

x=-5

k=6x+100

6X-5=-30

k=-30+100

100-30=100+-30=70

k=70

Also I did it on Khan :)

Answer and Step-by-step explanation:

How to know if the side lengths can form a triangle:

Add together two of the lowest numbers. If it is greater than the largest number, it can form a triangle.

13. Yes, these side lengths can form a triangle.

-- 4 + 5 = 9.

-- 9 is greater than 7, the largest length.

14. No, these side lengths can't form a triangle.

-- 2 + 3 = 6

-- 6 is equal to 6, not greater than.

15. Yes, these side lengths can form a triangle.

-- 2 + 4 = 6

-- 6 is greater than 5, the largest number.

16. Yes, these side lengths can form a triangle.

-- Don't get confused when you see that there are two side lengths that are the same (it means that this is an isosceles triangle); the rules still apply.

-- 2 + 8 = 10

-- 10 is greater than 8, the largest number.

17. Yes, these side lengths can form a triangle.

-- 5 + 6 = 11

-- 11 is greater than 9, the largest number.

18. Yes, these side lengths can form a triangle.

-- 4 + 5 = 9

-- 9 is greater than 8, the largest number.

I hope this helps!!

#teamtrees #PAW (Plant And Water)

Answer:

12/40

Step-by-step explanation:

12/40=3/10

Answer:

9y

Step-by-step explanation:

Add 7y and 5y which equals 12y. Then subtract 3y from 12y and u get 9y. It might be wrong

Answer:

area = 153.94

Step-by-step explanation:

Diameter = 14. Half of 14 is 7, so radius = 7.

Formula for the area of a circle = π * r^2, so π * 7^2 = 153.93804

Answer:

The answer is Equation 3

Step-by-step explanation:

The answer is Equation 3. I got it

right on the FLVS test

Hope this helps!

:)

Answer:

5

Step-by-step explanation:

like my answer please...

Answer:

x=1/3, x=-2/3

Step-by-step explanation:

9x^2 +6x -3x -2=0

6x and -3x add up to 3x. You need four terms to factor.

Then you factor=

3x(3x+2)-1(3x+2)=0

(3x-1)(3x+2)=0

Then you can make two equations

3x-1=0 and 3x+2=0 because to multiply to get 0, at least one will be 0.

3x-1=0

3x=1

x=1/3

3x+2=0

3x=-2

x=-2/3

So your answers are x=1/3, x=-2/3

hope this helps!

Answer:  $61.50

Step-by-step explanation:

To do this you need to first find 18% of 75 which is 13.5 or $13.50 and then subtract that from the original price being $75 and you get $61.50

HOPE THIS HELPS ^^

Answer:

The answer is 61 dollars and 50 cents. So 61.5.

Answer:

-100 > -101

Step-by-step explanation:

-100 > -101

Reason:

The negative number which is more closer to Zero it is always bigger than other.

-TheUnknownScientist

Answer:

$ 825

Step-by-step explanation:

10 yard = $150

55yard = ?

55yard* $150 /10yard

55*15 =825 then the correct answer of

$55 yard is 825

Answer:

8000 cubic feet

Step-by-step explanation:

Volume of the pool = Length * Width * height

Given

Length =16ft

Width = 25ft

Height = 20ft

Substituting into the formula

Volume = 16 * 25 * 20

Volume of the pool = 8000 cubic feet

72⁰

HOPE IT HELPS YOU THANK YOU ☺

Answer:

37 degree

Step-by-step explanation:

RQS is suspened by arcRS

RQS=1/2(RS)

RQS=1/2(74)

RQS=37

Answer

x=3 or (3,0) and if you need it y=-2x+3

Step-by-step explanation:

I'm not very good at explaining things, sorry

Answer:

Step-by-step explanation:

I=PRT where I =interest P=principal, R=rate, and T =time is

Answer:

71

Step-by-step explanation:

Answer:

gimme a sec

Step-by-step explanation:

Answer:

a.   -.259

b. 3.732

c. -.259

d. 3.72972972973

Step-by-step explanation:

Answer:

The value of the missing angle is 103.

Step-by-step explanation: