Find the length of the second base of a trapezoid with one base measuring 18 feet, a height of 5.3 feet, and an area of 125.4 square feet.​

Answers

Answer 1

Answer:

29.32 feet

Step-by-step explanation:

area of a trapezoid = height/2 * (first base + second base)

125.4 = 5.3 / 2 * (18 + second base)

125.4 = 2.65 * (18 + second base)

We want to solve for the second base. To do this, we can start by isolating the (18+second base) by dividing each side by 2.65

47.32 = 18 + second base

subtract 18 from both sides to solve for the second base

29.32 = second base


Related Questions

someone please help this is due in 25 minutes​

Answers

28=9x-8

36=9x

x=4

:) hope it helps!

=
Let f(x) = 3x + 8, g(x) = 2x -12
and h(x) = -4x
=
1a) f + g =
1b) f-g=
2b) g*f=
2b) g-f=

Answers

Answer:

it's the 2nd one

Step-by-step explanation:

yeah it's the 2one

Write the slope-intercept form of the equation of the line.

Answers

Answer:

y = x + 2

Step-by-step explanation:

By doing the rise over run, the slope is 1

The y - intercept is 2

You plug the numbers in the equation y = mx + b

y = x + 2

GIVING BRAINLIEST. please help!

Answers

The answer should b C

There is a string of red and blue lights strung around
a window. The red lights blink every 3 seconds, and
the blue lights blink every 5
seconds. How many
times will they blink at the same time in one
minutes?

Answers

Answer:

4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4

Step-by-step explanation:

Describe the transformation

Answers

Answer:

6 to the right

Step-by-step explanation:

Yes, it might be scary at first sight bexause of the square mark. But it is no more special than any other graph transformation. The sqare mark here nly indicates that this graph is a parabola, and the 6 inside shifts the graph (be careful, it is negative so it moves the graph to the RIGHT, by 6 -- the square mark doesnt apply to that).

The price of an item at the store can be defined by the variable w.

Based on this information, which of the options below represents a markup in price for that item? Select all that apply.


A)0.85w
B)0.92w
C)1.1w
D)1.15w
E)1.25w

Answers

Answer:

  C)  1.1w

  D)  1.15w

  E)  1.25w

Step-by-step explanation:

A markup is an added value. The effective multiplier of price will be greater than 1 when the markup is added. Such a multiplier is indicated in choices C, D, and E.

___

Choices A and B represent a markdown, or discount.

how to graph equations using x and y intercepts

Answers

Answer:

uhhh maybe ( x + 2 ) = y

Step-by-step explanation:

i dont know im on break and I don forgot how to do this

Given that Sine theta = StartFraction 21 Over 29 EndFraction, what is the value of cosine theta, for 0 degrees less-than theta less-than 90 degrees? Negative StartRoot StartFraction 20 Over 29 EndFraction EndRoot Negative StartFraction 20 Over 29 EndFraction StartFraction 20 Over 29 EndFraction StartRoot StartFraction 20 Over 29 EndFraction EndRoot.

Answers

Answer:

[tex]cos\theta=\frac{20}{29}[/tex]

Step-by-step explanation:

Problem:

[tex]sin\theta=\frac{21}{29},cos\theta=?,0^\circ<\theta<90^\circ[/tex]

Given:

[tex]sin\theta=\frac{opposite}{hypotenuse}=\frac{21}{29}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}=\frac{x}{29}[/tex]

Solve for adjacent side:

[tex]a^2+b^2=c^2[/tex]

[tex]x^2+21^2=29^2[/tex]

[tex]x^2+441=841[/tex]

[tex]x^2=400[/tex]

[tex]x=20[/tex]

Final answer:

[tex]cos\theta=\frac{20}{29}[/tex]

The value  [tex]\rm Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.

Given that,

The value  [tex]\rm Sin\theta[/tex] is 21/29,

Where [tex]0^{\circ}< \theta<90 ^{\circ}[/tex].

We have to determine,

The value of [tex]\rm Cos\theta[/tex]?

According to the question,

To determine the value of [tex]\rm Cos\theta[/tex] following all the steps given below.

The formula of [tex]\rm Sin\theta[/tex] is,

[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

On comparing to the given value of  [tex]\rm Sin\theta[/tex] is,

[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin\theta =\dfrac{21}{29}\\\\[/tex]

Here, Hypotenuse = 29, and Perpendicular = 21

Then,

The formula of [tex]\rm Cos\theta[/tex] is,

[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\[/tex]

Let, the base be x,

The value of base finding by using Pythagoras theorem,

[tex]\rm {(Hypotenuse)}2 = (Perpendicular)^2+ (Base)^2\\\\ (29)^2 = (21)^2 + (x)^2\\\\841= 441 +x^2\\\\x^2 = 841-441\\\\x^2 = 400\\\\x = 20[/tex]

The value of the base is 20.

Therefore,

[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\\rm Cos\theta =\dfrac{20}{29}\\\\[/tex]

Hence, The value  [tex]\rm Cos\theta[/tex] is 20/29.

For more details about Pythagoras theorem refer to the link given below.

https://brainly.com/question/13710437

If y varies directly as x, find y:
{(8, -12). (20, y)}

Answers

[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]

[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]

[tex]\\ \sf\longmapsto 8y=-240[/tex]

[tex]\\ \sf\longmapsto y=-240/8[/tex]

[tex]\\ \sf\longmapsto y=-60[/tex]

A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.

Answers

Answer:

13.9 ft

Step-by-step explanation:

Answer 75-82 pls it would be amazing!!!!!

Answers

Answer:

75-82=-7

Step-by-step explanation:

e

Jacob says that (12 + 31) × 5 is
equivalent to 12 + 31 x 5 because of the
associative property.
Describe the associative property
in words.
Determine if Jacob is correct. Justify
your answer.

Answers

Answer:

Step-by-step explanation:

the associative property means that when you are adding OR multiplying you can group the numbers however you want

Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167

The associative property is when an equation can be rearranged without changing the answer.
Jacob is incorrect.
(12+31)x5=215
Because of PEMDAS, parenthesis are the first thing you have to solve for. 12+31=43. 43x5=215.
12+31x5=167
You would have to do 31x5 first because of PEMDAS, multiplication comes before addition. 31x5=155. 12+155=167.

Please show work!!!!

10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?

Answers

Answer:

The length of the base of this parallelogram is 34.2

Step-by-step explanation:

To calculate the length, we work backward and calculate the base by doing area/height

We have 690.84/20.2 = 34.2

I hope this explained your confusion

Please find the surface area of the pyramid... I will mark you brainliest

Answers

Answer:

 S.A. = 704 in²

Step-by-step explanation:

Surface area (S.A. ) = 1/2 lp + B where l is the slant height , p is the  perimeter of the base, and B is the area of the base .

Given l = 14; The Base figure is a square so the p = 4· side = 4 · 16 = 64 and the area of the Base = s² = 256

S.A = 1/2 · 14 · 64 + 256

 S.A. = 448 + 256

  S.A. = 704 in²

3 3/8 divided by 1 1/4

Answers

Answer:

Step-by-step explanation:

3 3/8 changes to 27/8 because we multiply 3*8=24 and then add 24 to 3 = 27

same thing for 1 1/4

and then while dividing we flip the left hand side meanig 5/4 becomes 4/5 and division changes to multiplication

Answer: 2.7
Math problem: 3 3/8 divided by 1 1/4

find the value of x from the following figure​

Answers

Angle QSP and 110 are congruent because corresponding angles are congruent

Then subtract 180 to angle QSP to get angle QSR because a straight line is 180

180 - 110

= 70

Then add all the given angles to the triangle subtract it to 180 because the sum of angles of a triangle is 180

70 + 40 + x = 180

x = 180 - 110

x = 70
Hope this helps
Brainliest and a like is much appreciated!

Answer: 70°

Oki so...

The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°

Line PSR is a straight line and a straight line angle is 180°

So, 180-110=70° (angle QSR)

Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°

Simply, 180-(40+70)

This comes 70. So x is 70°

if f(x) = 2x-1 what is f(4)

Answers

F(7) is your answer because you plug in 4 to the x so 2•4-1 you times 2 and 4, get 8 then 8-1 is 7, have a good day/night!!!

Solve the inequality-8≤3x-17<19

Answers

Answer: The answer is X∈[3,12).

Answer:

-8≤3x-17<19

-8+8 ≤ 3x - 17 + 8 < 19 + 8

0 ≤  3x - 9 < 27

0 ≤  3x - 9 + 9 < 27 + 9

0 ≤  3x <  36

0 ≤ 3x / 3 <  36/3

0 ≤ x < 12

So x can be 0 or less than 12. A number between 0 and 12

scores on a test have a mean of 66 and Q3 is 80. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth.
A) 10.5
B) 20.9
C) 9.4
D) 18.7

Answers

The correct answer is B

The perimeter of a rectangle is 80 feet.

Find the dimensions if the length is 5 feet longer than four times the width.

Then find the area of the rectangle.

Answers

Answer:

l=33 feet

w=7 feet

Area= 231 feet

Step-by-step explanation:

at noon, a tank contained 8 in. of water. after several hours, it contained 6 in. of water. what is the percent decrease of water in the tank?

Answers

Answer: 25%

Step-by-step explanation:

To find percent decrease, you take your final number minus your initial number, over your initial number, so you start with 6-8/8, and get 2/8 or 1/4, then you multiply that by 100, so you get 25. That's your percent decrease.

What is the slope of the graph of
y= 5/2x+3?

-

Answers

Answer:

The slope would be 5/2.

Step-by-step explanation:

Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.

E Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet​

Answers

Answer:

6feet by 5feet by 4feet

7feet by 6feet by 4feet

8feet by 3feet by 7feet

an equivalent expression to x-2y+3

Answers

Something x -2xsomething+3

Answer:

[tex]y=\frac{-x-3}{-2}[/tex]

Step-by-step explanation:

1. The first thing you should do is put it equal to 0:

   [tex]x-2y+3=0[/tex]

2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:

[tex]x-2y+3=0[/tex]

            -3    -3

 [tex]x-2y=-3[/tex]

3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:

 [tex]x-2y=-3[/tex]

-x              -x

[tex]-2y=-x-3[/tex]

4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.

[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]

5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:

[tex]y=\frac{-x-3}{-2}[/tex]

Korena is paid $40 it weed the garden 5 times. At this rate, how many times must she weed the garden to earn $100?

Answers

What we know:

Korena is paid $40 every five times she does the job

What we need to figure out:

How many times does she have to do it to earn $100

Math:

First I'm going to figure out how much she makes each time she weeds

Money earned ÷ Amount of times

40 ÷ 5

= 8

In order to determine the rest of the time we are going to multiply everything we know by 2

Korena is paid $80 if she does it 10 times

We clearly aren't going to do that again because that will surpass the amount so now we are going to use the unit rate we figured out;

($8 per time)

Korena is paid $88 if she does it 11 times

Korena is paid $96 if she does it 12 times

Korena is paid $104 if she does it 13 times

Statement

Therefore if Korena weeds the garden 13 times she will make $104 surpassing the $100 needed.

2y-7.4y=141.36
solve for y

Answers

2y-7.4y=141.36
-5.4y=141.36
-y=141.36/5.4
y= -26.1777778 or -26.18

PLZ HELP ME!! IF YOUR A GENUIS

The equation 4.05p+14.40=4.50(p+3) represents the number of p of pounds of penuts you need to make a trail mix. How many pounds of peanuts do you need for the trail mix?

Answers

Since "p" represents the number of pounds of peanuts and:  

4.05p + 14.40 = 4.50(p + 3) [then by distributing we have:

4.05p + 14.40 = 4.50p + 13.5 [then by subtracting 13.5 from both sides we have:

4.05p + 0.9 = 4.50p [then by subtracting 4.05p from both sides we have:

0.9 = 0.45p [then by dividing both sides by 0.45 we have:

2 = p

So there are 2 pounds of peanuts needed for the trail mix.

What is the value of the expression

Answers

Answer:

Option C) 5/8 is correct.

For explanation, Refer to the attachment.

[tex]\Large\textsf{Hope \: It \: Helped}[/tex]

Answer:

C

Step-by-step explanation:

Substitute the values for v and w into the expression.

[tex]\frac{1}{2}[/tex] + ([tex]\frac{3}{4}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + ([tex]\frac{6}{8}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{4}{8}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{5}{8}[/tex] → C

Write equations for the horizontal and vertical lines passing through the point (4-1)

Answers

Answer:

y = - 1 , x = 4

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (4, - 1 ) with y- coordinate - 1 , then

y = - 1 ← equation of horizontal line

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 1 ) with x- coordinate 4 , then

x = 4 ← equation of vertical line

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