The area of a trapezium is 512 cm², the distance between its parallel sides if the sum of the lengths of the parallel sides is 64 cm is

Answers

Answer 1

Answer:

h = 16 cm

Step-by-step explanation:

Given that,

The area of a trapezium, A = 512 cm²

The sum of the length of the parallel sides = 64 cm

The area of a trapezium is given by :

[tex]A=\dfrac{1}{2}\times \text{sum of parallel sides}\times height\\\\h=\dfrac{2A}{Sum}\\\\=\dfrac{2\times 512}{64}\\\\=16\ cm[/tex]

So, the distance between the parallel sides is 16 cm.


Related Questions

Jack has 5 apples, he picks out 3 pears. If his train is 7 minutes late, how much time does he have until he dies?​

Answers

Answer:

huh

Step-by-step explanation:

Answer:

uh well I can't be sure but i would say approx 69 minutes since the train happens to be exactly 7 min late

The relationship between x and y is represented by the table below. Which equation represents this
table?
Х
y
1
6
3
10
4
12.
5
14
A y = x +5
By = 2x + 4
C y = 3x + 3
D
Not Here

Answers

Answer is D not here

rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.​

Answers

Answer:

1.8 is the h of the rhombus

Answer:

4.8 cm

Step-by-step explanation:

2x3 equals what because I didn’t get it

Answers

Ok so 2x3= 6 so yeah

Answer:2×3=6

or Add 2 three times

subtract 9 from 16 as an expression pls help

Answers

Answer:

16 - 9 = x

i thonk :0

or 16 - 9 = 7

Step-by-step explanation:

ADD two expressions
-3t-1 and 6t + 10

Answers

3t + 9 is the correct answer!ADD ALL LIKE TERMS!-3t + 6tis the same as6t - 3twhich equals3t-1 + 10is the same as10 - 1which equals9Please let me know if I am wrong.

Pls help! I need answer.

Answers

Answer:

b = 98

Step-by-step explanation:

hope this helps . thanks

Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?

Answers

Answer:

20 years

Step-by-step explanation:

A=500(1+.03)^20

$903

A=100(1+.12)^20

$964

It took her 20 years to overtake.

Answer:

Simple interest = NeverCompound interest = 19 years and 4 months

Step-by-step explanation:

Jack

Initial amount = $500Interest rate = 3% = 0.03

Yearly interest = 0.03*500 = $15

Diane

Initial amount = $100Interest rate = 12% = 0.12

Yearly interest = 0.12*100 = $12

Diane's initial amount and yearly interest amount are both less than of Jack's.

It means her balance will never overtake Jack's.

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

It is not mentioned in the question but let's assume it is compound interest which is annually compounded.

Then after x years their balance will be:

Jack

500(1 + 0.03)^x = 500*1.03^x

Diane

100(1 + 0.12)^x = 100*1.12^x

Solve inequality below:

100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 months


Which inequality is represented by the graph below? O y < 2x - 3
Oy > 2x - 3
Oy<-3x + 2
Oy> -3x + 2

Answers

Answer:

Oy > 2x - 3

Step-by-step explanation:

because it has > so with will be on the left side

I also recommend Desmos because it helps you with these questions.

and that's what I used.

The inequality represented by the graph below is y > 2x - 3.

Option B is the correct answer.

What is inequality?

An inequality is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

We have,

To graph an inequality, you need to identify the equation of the line or boundary that separates the two regions defined by the inequality.

This boundary can be a line, a curve, or even a plane in three dimensions.

Next, you need to determine which region to shade, based on whether the inequality symbol is less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).

If the inequality symbol is less than (<) or greater than (>), the boundary line should be drawn as a dashed line since the points on the line are not included in the solution set.

Then, shade the region above the line if the symbol is greater than (>), or below the line if the symbol is less than (<).

If the inequality symbol is less than or equal to (≤) or greater than or equal to (≥), the boundary line should be drawn as a solid line since the points on the line are included in the solution set.

Then, shade the region above the line if the symbol is greater than or equal to (≥), or below the line if the symbol is less than or equal to (≤).

Finally, label the shaded region as the solution set and write the inequality symbol next to it.

From the given graph we see that,

y > 2x - 3 has the same graph.

Thus,

The inequality represented by the graph below is y > 2x - 3.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

Which expression is represented on this number line?

Answers

Answer:

where's the number line??

Tylan sent 3809 text messages in January. In February he sent 3115.

Answers

Answer:

Ummmm what’s the question?

Step-by-step explanation:

I will edit after you tell me what your question is.

Btw God bless you.have a great day!

Step-by-step explanation:

if you're asking how many text messages he sent in those two months then he sent 6924 messages.

what is the scientific notation of 0.0000003​​

Answers

Answer:

This is ur answer.

Hope.it helps!!!

13. Find the measures of the numbered angles.

Answers

Answer:

8=117     7=63      9=63

Step-by-step explanation:

180-117 = 63

7 and 9 = 63

A straight line=180

Angles across from each other are the same

9 and 7 are the same, and 117 degrees and 8 are the same

Bubbles the fish is 4 feet below sea level. Swimmy the fish is 3 feet below sea
level. Which fish is closest to sea level? *
A: Bubbles?
B: Swimmy?

worth 25 points pls help me

Answers

Answer:

swimmy is closest to sea level

In ΔLMN, the measure of ∠N=90°, the measure of ∠M=70°, and NL = 74 feet. Find the length of MN to the nearest tenth of a foot.

Answers

Answer:26.9 feet

Step-by-step explanation:

SOH-CAH-TOA

\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}

tanM=

adjacent

opposite

=

x

74

\tan 70=\frac{74}{x}

tan70=

x

74

x\tan 70=74

xtan70=74

Cross multiply.

\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}

tan70

xtan70

=

tan70

74

Divide each side by tan 70.

x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}

x=

tan70

74

=26.9338≈26.9 feet

Type into calculator and roundto the nearest tenth of a foot.

L

M

N

74

26.9

(opposite of ∠M)

(adj. to ∠M)

(hypotenuse)

70°

An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?

Answers

Answer:

798

Step-by-step explanation:

So, 21*{2*18 + (21-1)*2}/2

= 21*{36 + 20*2}/2

= 21*{36+40}/2

= 21*76/2

= 1596/2

= 798

Total number of seats is 798

Given that;

Number of seats in first row = 18

Number of rows = 21

Each row added number of seats then previous = 2

Find:

Total number of seats

Computation:

Total number of seats = Sn = (n/2)[2a + (n-1)d]

Total number of seats = Sn = (21/2)[2(18) + (21-1)2]

Total number of seats = (21/2)[36 + (20)2]

Total number of seats = (21/2)[36 + 40]

Total number of seats = (21/2)[76]

Total number of seats = (21)(38)

Total number of seats = 798

Learn more:

https://brainly.com/question/16668552?referrer=searchResults

11. Which expression is equivalent to the expression shown below?
-2x + 5(3 + 2x)
a. 8x + 15
b. 53 + 4x
C. 4x + 15
d. 8 + 5x

Answers

A will be your answer

Please help this is due soon!!! :( Please explain with explanation and answer pls

Answers

Answer for A:

x = -56/31

Step-by-step explanation:

The total angle for a pentagon is 360°

100 + 20(-56/31) + 140 + 160 - 5(-56/31) + 16(-56/31) + 16 = 360

100 + -36.1290322581 + 140 + 160 + 9.03225806452 + 28.9032258065 + 16 = 360

If you copy that into a calculator you will get

360°

Answer for B:

The angle for C, rounded to the nearest tenth, is 44.9°


PLEASE HELP

Select the mean, median, mode and range of the following list of values.

Answers

Answer:

The median is three, the mean is 3.5, the range is 6 and there is no mode.

Step-by-step explanation:

The function f ( x ) = 2 x ^2 − x − 4 models the shape of a ditch. What is the average slope over the interval −4 ≤ x ≤ 2?

Answers

Answer:

[tex]Rate = -5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x^2 - x - 4[/tex]

[tex]-4 \le x \le 2[/tex]

Required

Determine the average slope over the given interval

This is calculated as:

[tex]Rate= \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex]a = -4[/tex]

[tex]b =2[/tex]

So:

[tex]Rate= \frac{f(2) - f(-4)}{2 - (-4)}[/tex]

[tex]Rate= \frac{f(2) - f(-4)}{2 +4}[/tex]

[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]

Solving for f(2) and f(-4), we have:

[tex]f(x) = 2x^2 - x - 4[/tex]

[tex]f(2) = 2 *2^2 -2 - 4[/tex]

[tex]f(2) = 2[/tex]

[tex]f(-4) = 2*(-4)^2 - (-4) - 4[/tex]

[tex]f(-4) = 2*16 +4 - 4[/tex]

[tex]f(-4) = 32[/tex]

So, the equation becomes

[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]

[tex]Rate= \frac{2 - 32}{6}[/tex]

[tex]Rate= \frac{-30}{6}[/tex]

[tex]Rate = -5[/tex]

help asap schools almost done pls help me

Answers

Answer:

exit ticket

1.) 6+8x

2.) 18+6x^5

homework module 4 lesson 6

1.) 78

2.) 61

3.) 24

Step-by-step explanation:

Wallpaper was applied to one rectangular wall of a large room. Width: 42 ft length:25.5 ft. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot?

Answers

Answer:

$825869.52

Step-by-step explanation:

Given that,

Width of the rectangle, b = 42 ft

Length of the rectangle, l = 25.5 ft

The area of a rectangle is given by :

A = lb

So,

A = 42 ft × 25.5 ft

A = 1071 ft²

The total cost of the wallpaper was $771.12 . So,

Cost = 1071 × 771.12

= $825869.52

So, the cost of wallpaper per square foot is equal to $825869.52.

While waiting for a video game to download, you notice that
30
%
30%30, percent of
32
,
000
32,00032, comma, 000 kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?

Answers

Find out the how many kilobytes have been downloaded so far .
To prove
As given
While waiting for a video game to download.
notice that 30 percent of 32000 kilobytes have been downloaded so far .
30% is written in the decimal form.

= 0.30
kilobytes uses in downloaded = 0.30 × 32000
= 9600 kilobytes
Therefore 9600 kilobytes have been downloaded so far .

Plzz help ..........

Answers

Answer:

AB and CD - Parallel Lines

EF and CD - Perpendicular Lines

GH and EF - Neither Parallel nor Perpendicular Lines

Let me know if this helps!

Answer:

EF and CD ------- perpendicular lines

AB and CD --------parallel Lines

GH and EF --------- neither parallel nor perpendicular lines

Step-by-step explanation:

Parallel lines are lines that do not ever intersect

Perpendicular lines create 90 degree angles

neither is just neither

que es el dominio en notación de intervalo?

Answers

Answer: El dominio es el conjunto de números reales. En forma de intervalo, el dominio de f es (−∞, ∞). Identifica los valores de entrada. / The domain is the set of real numbers. In interval form, the domain of f is (−∞,∞). Identify the input values.

Step-by-step explanation: Used my sheet.

Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,

one pair of pants, and one pair of shoes, how many unique outfits can she make?

Answers

i got 13 but you didn’t put any answer choices

Bedroom rent
1 $500
2 $625
3 $700
what would be the likely cost of a 4 bedroom apartment?

Answers

Number 3 would be more like a 4 bedroom apartment

Answer:

maybe $825

Step-by-step explanation:

Im not sure but I think Its accurate

write and solve an equation to find the missing diemsion of the circle
diameer=24

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wtjfavyw


Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he
bought?

Answers

Answer:

$7.07

Step-by-step explanation:

35.35/5=7.07

Math- Lisa is buying a cover for her patio table. If the table is 5 ft on all sides, what is the area of the cover?

Answers

Answer:

25

Step-by-step explanation:

length times width

5 times 5

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