Mathematics High School

The formula for the area of a trapezoid is A = 12(a + b)h. Rearrange the formula to solve for b.

Question 4 options:

b=2Aha

b=A−12h + a

b=2Ah− a

b=12Ah − a

Answers

Answer 1

Answer:

b = 2A/h - a

Step-by-step explanation:

Formula for the area of a trapezoid:

A = 1/2(a + b)h

Solving for b:

A = 1/2(a + b)h2A = (a + b)h2A/h = a + b b = 2A/h - a

Related Questions

18 is 40% of ___
23% of 20 is ____
20 is ___ % of 82


pls help

Answers

Answer:

18 is 40% of 45

23% of 20 is 4.6

24.390243902439025

Step-by-step explanation:

3 1/3 x 3 =??
Not quite understanding

Answers

Answer:

10

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

3 1/3 * 3 = 10

Mrs. Jones attended a Southern Living home party. She purchased a vase which cost $34.99. The shipping charge was $3.00, and 8.25% sales tax was paid on the subtotal which included the shipping charge. How much did she pay for the vase?

Answers

Answer:

Step-by-step explanation:

1.0825×(34.99+3) = $41.124175, and the government always rounds up.

$41.13

plz help me and show your work, will give brainliest to who ever answers first and is right.

Answers

Answer:

6

Step-by-step explanation:

2y=12

Divide each term by

2

and simplify.

y

=

6

Answer:

x = -2 and y = 3

Step-by-step explanation:

plug in the x = 3y - 8 into the x for the top equation

so it looks like this...

-3(2y - 8) + 2y = 12

solve

-6y + 24 + 2y = 12

-4y + 24 = 12

      -24   -24

-4y = -12

divide bye -4

y = 3

plug in y = 3 on the second equation

x = 2y - 8

x = 2(3) - 8

x = 6 - 8

x = -2

I need help on my warm up!! pls thx!

Answers

Step-by-step explanation:

[tex] \tt{30.16 = 17.56 + 5x} [/tex]

Swap the sides of the equation :

⤑ [tex] \tt{17.56 + 5x = 30.16}[/tex]

We want to remove the 17.56 first.

Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :

⤑ [tex] \tt{5x + 17.56 - 17.56 = 30.16 - 17.56}[/tex]

Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.

⤑ [tex] \tt{5x = 12.6}[/tex]

Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.

⤑ [tex] \tt{ \frac{5x}{5} = \frac{12.6}{5}} [/tex]

Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.

[tex] \pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

what is the inverse of f(x)=2-2x

Answers

In the usual sense, it has no inverse function. Since it is not an injection (f(0)=f(2)=0), an inverse function would have to map 0 both to 0 and 2, and that’s impossible.

However, if you restrict the domain to [1,+oo> (to make it injective), and the codomain to [-1,+oo> (to make it surjective), then it has an inverse function, given by g(y)=1+sqrt(y+1).

Is the function even,odd, or neither

Answers

Answer:

even  :D

Step-by-step explanation: :D

A triangle has an area of 72 cm² and a base of 10 cm². What is the height of the triangle?

Answers

Answer:

14.4

Step-by-step explanation:

Area= 72 cm^2

Base= 10 cm

height= ?

Area= base x 1/2 x height

72 = 10 x 1/2 x h

72= 5 x h

72/5 = h

h= 14.4

PLLZZZ HELPP I HAVE EXAMM
PLZZZZZZZZZZZ

Answers

The answer is the first one, 374549

which of the following statements is not true​

Answers

Answer:

2nd option is the answer

Step-by-step explanation:

2nd option is the correct answer

Which of the following lists the missing reasons in the respective order?

Alternate Interior Angle Theorem, ASA, CPCTC


Vertical Angle Theorem, ASA, CPCTC


Linear Pair Postulate, SSS, CPCTC


Reflexive Property, CPCTC, AAS

Answers

Answer:Vertical Angle Theorem, ASA, CPCTC

Step-by-step explanation: It's definitely a vertical Angle .

(a) Reflect the point (7, -9) across the y-axis:
(b) Reflect the point (7, -9) across the x-axis:

Answers

Answer:

(-7,-9) and (7,9)

Step-by-step explanation:7,-9 so we do across the x so you need a graph for this now x goes left so we plot the coordinates in the third box 7,-9 is in the 4 box so after we plotted that you can see it reflects.Now y coordinate since the y line goes up we plot the coordinates on top of the 4 box where our original coordinates stay now it should be 7,9 the y becomes positive which is 9.

This is not a web answer i answered myself took me some time!

(a) after reflecting (7, -9) across the y-axis you get (-7, -9)
(b) after reflecting (7, -9) across the x-axis you get (7, 9)

Write an equation for the line shown in the graph.

A. 10=4x
B. y=2x+10
C. y=10x-2
D. y= -x+10

Answers

Answer:

D

Step-by-step explanation:

The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the equation, the y-intercept is 10. Then the equation is given as,

y = mx + 10

From the graph, the line is passing through (2, 8). Then the slope is given as,

8 = m(2) + 10

8 = 2m + 10

- 2 = 2m

m = - 1

The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

WILL GIVE BRAINLIEST AND 20 POINTS!
One side of a square room measures 24 ft. How many square yards of carpet are necessary to carpet the room? Hint: 1 yd2 = 9 ft2.
yd2

Answers

Answer:

2.6

Step-by-step explanation:

24 ft. divided by 9 is 2.6666666666...

Area of the carpet= a^2
= 24^2
=576 ft^2
=576/9
=64 yd^2

I need help 8th grade math​

Answers

Answer:

error made in step 2, should be 3x² + 15x - 18 = 0

3(x+6)(x-1) = 0

x = -6 and x = 1

Step-by-step explanation:

Hi if u could help me that'd be great

Answers

Answer:

1 hour and 45 minutes

and 1 hour

Step-by-step explanation:

x= run

y= walk

5x+2.5y = distance

5x+2.5(1.5)=12.5

solve for x

5x=8.75

x=1.75

1.75 in hours is 1 hour and (60*.75)=45

1 hour and 45 minutes

" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"

We use the same equation

5x+2.5y=distance

we'll assume that they till walked 12.5 miles

which means that

5(2)+2.5y=12.5

solve for y

2.5=2.5y

y=1

1 hour

Answer:

Everybody, everybody

Get out on the floor

It can get a little crazy

When the kick hits the floor

Make a scene Make a scene

Nobody can ignore

Don't knock it, til you rock it

We can't take it no more!

Bring the lights up!

Bust the doors down!

Dust yourself off,

Shake it up!

Shake it up!

DJ set it off!

Take it up a notch

All together now!

Shake it up!

Shake it up!

Step-by-step explanation:

huan's wage is £10.40 per hour l. he receives a 10% pay rise ​

Answers

Answer:

Step-by-step explanation:

10% of 10.40=1.04

10.40+1.04=11.44

what's bigger -1/5 or -0.9

Answers

Answer:

-1/5

Step-by-step explanation:

-1/5=-0.2

-0.9<-0.2

Asap
Each part needs fourteen small holes drilled in its outer surface and four larger holes drilled in its inner surface. Write an expression that shows how many holes need to be drilled for c parts.

Answers

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Unknown angle problems (with algebra)
Solve for x in the diagram below.
20
3.cº
100°
O
T =

Answers

Answer: x = 20 degree
3x = 3×20 which is 60 degree
And the other one is 100 degree
Add all the number 100+60+20 degree is 180 degree

(⌐■_■) ( •_•)>⌐■-■
ᕙ(^▿^-ᕙ)

Answers

Answer:

(‿!‿) ԅ(≖‿≖ԅ)

Step-by-step explanation:

A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4

A total of 212 pens were sold.

Work out the number of green pens sold.

Answers

Answer:

The number of green pens sold are 96 green pens

Step-by-step explanation:

The given parameters for the packs of pens sold by the shop are;

The number of pens in each pack of black pens = 2 pens

The number of pens in each pack of red pens = 5 pens

The number of pens in each pack of green pens = 6 pens

The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4

The total number of pens sold = 212

Let 'x' represent the number of packs of pens sold

Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2

∴ 1/2 of the number of packs of pen sold = packs black pens = x/2

The fraction of the packs the pens sold that are red pens = 3/14

∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14

Similarly, we have;

The fraction of the packs the pens sold that are green pens = 4/14 = 2/7

∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7

Therefore, we have;

x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212

Where;

x/2 × 2 = The number of black pens sold

3·x/14 × 5 = The number of red pens sold

2·x/7 × 6 = The number of green pens sold

∴ 53·x/14 = 212

x = 212 × 14/53 = 56

∴ The number of packs of pens sold = x = 56 packs

The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96

The number of green pens sold = 96 pens.

Write an equation, in standard form, using the following given info: M = 10
and it passes through the point (6,2) *
-10x + y = -58
-10x + y = 58. -10x - y = -58
10x + y = -58

Answers

Given:

m = 10

The line passes through the point (6,2).

To find:

The equation of line in the standard form.

Solution:

If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (6,2) and m = 10. So, the equation of line is

[tex]y-2=10(x-6)[/tex]

[tex]y-2=10x-60[/tex]

[tex]y-10x=-60+2[/tex]

[tex]-10x+y=-58[/tex]

Therefore, the correct option is A.

Which expression shows the factored form of 16x + 12y - 4 PLZZZZZZZ HELP I WILL LIST YOU BRIANEST

answers:
4(4x +3y)

4(4x +3y – 1)

16(x +4y – 12)

A.14xy

Answers

Answer:

It is 4(4x + 3y - 1) I just did this quiz

Step-by-step explanation:

What is the explicit
equation for this
series?
2, 8, 14,

Answers

Answer:

2-8x14

Step-by-step explanation: hope this helpss !!

Answer:

6

Step-by-step explanation:

8-2=6

14-8=6

What's the diffrence between an Arithmatic sequence and a Geometric sequence?

Answers

Answer:

An arithmetic sequence has a constant difference between each term.

A geometric sequence has a constant ratio.

The graph shows the relationship between the radius and volume for many cones whose height is 6 inches. Select ALL true statements about such cones.

Answers

Answer:

E. If the radius of the cone is 2 inches, the volume of the cone is 25 cubic inches.

B. The relationship between radius and volume is not linear.

Step-by-step explanation:

The true statement regarding the cones should be

If the radius of the cone is 2 inches, the volume of the cone is about 25 cubic inches.

The relationship between radius and volume is not linear.

What is the volume of cone?

The volume of the cone should be equivalent to one-third of the volume of the cylinder that contains a similar radius of the base and height. Here V means the volume, r means the radius and h means the height.

According to the graph, we can say that in the case when the radius should be 2 inches so the volume should be 25 cubic inches. And, the relation between the radius and the volume should not be linear.

learn more about cone here: https://brainly.com/question/10710386

What is the value of s?
units

Answers

The second, symbol s, is the SI unit of time. It is defined by taking the fixed numerical value of the cesium frequency ΔνCs, the unperturbed ground-state hyperfine transition frequency of the cesium 133 atom, to be 9 192 631 770 when expressed in the unit Hz, which is equal to s-1.

question 7 is in the pic

Answers

Answer:

B.

Step-by-step explanation:

This is the information the histogram represents.

Hope it helps!

Answer:

B I think?

Step-by-step explanation:

Hope its right

Function g can be thought of as a translation (shifted) version of f(x)=x^2

What is the equation for g (x).?? PLEASE HELP ASAP

Answers

Answer:

(x+5)²

Step-by-step explanation:

To solve this we just need to shift the graph 5 spots to the left

to do this we need to add 5 to the x

(x+5)²

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