if trapezium of area 140 cm horsepower sides 10 cm apart and one of them decides is 16 cm longfind the area find the length of the sother side ​

Answers

Answer 1

Given :

Area of the trapezium is 140 cm².Its height is 10 cm.One of the parallel side is 16 cm.

To Find :

The other parallel side.

Solution :

Let the other parallel side be x

We know that,

[tex]{ \qquad \: \pmb{ \dfrac{1}{2} \times (sum \: of \: the \: parallel \: sides) \times height} = \pmb{Area_{(trapezium)}}}[/tex]

Now, Substituting the given values in the formula :

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times (16 + x)\: \times 10 \: = {140}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 5 \times (16 + x)\ \: = {140}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 80 + 5x = {140}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 5x = {140 - 80}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 5x = {60}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ x = { \dfrac{60}{5} }}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \pmb{ x = { 12 }}}}[/tex]

Therefore,

The other parallel side of the trapezium is 12 cm.

Related Questions

explain how to find the answer pls.

Answers

Answer:

from the lines i you can see that these triangles are the same so that means the other angle is 74 so since we know that the angles of a triangle always add up to 180

5x+3x+2+74=180

simlify

8x+76=180

-76

8x=104

divide by 8

x=13

Hope This Helps!!!

Samanthas offer different tarts (buck,ube,pineapple,yema,and mango)A box of tart contains 9pieces and you are allowed to have a maximum of three different flavour per box how many different combination are there?

Answers

Using the combination formula, it is found that there are 129 different combinations.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, combinations of 1, 2 or 3 pieces from a set of 9 are taken, hence:

[tex]C_{9,1} = \frac{9!}{1!8!} = 9[/tex]

[tex]C_{9,2} = \frac{9!}{2!7!} = 36[/tex]

[tex]C_{9,3} = \frac{9!}{3!6!} = 84[/tex]

Then, the total is of:
T = 9 + 36 + 84 = 129.

More can be learned about the combination formula at https://brainly.com/question/25821700

Find the measure of the missing angles .

Answers

Answer:

d = 90°

e = 41°

f = 139°

Step-by-step explanation:

d + 90° = 180° (Angles in linear pair)

-> d = 180° - 90°

-> d = 90°

e = 41° (vertical angles)

f + 41° = 180° (Angles in linear pair)

-> f = 180° - 41°

-> f = 139°

A 13 meter long cylinder with a diameter of 6 meters has a square prism with a base length of 3 meters hole going all the way through the center of it as shown in the diagram (not to scale). Find the volume of the composite shape rounding to the nearest cubic meter. Hint: while working the problem carry figures at least three decimal places, then round to the nearest cubic meter only once at the very end.

Answers

Answer:

The volume of the composite figure is approximately 337.27 m³

Step-by-step explanation:

The given parameters are;

The length of the cylinder, L = 15 meters

The diameter of the cylinder, D = 7 meters

The base length of the square prism, B = 4 meters

We note that the square diagonal of the square = √(4² + 4²) = 4·√2 ≈ 5.66 meters, fits in the cylinder

Therefore, we have;

The volume of the composite figure = The volume of the cylinder - The volume of the square prism

The volume of the cylinder = π/4 × D² × L = π/4 × 7² × 15 ≈ 577.27 m³

The volume of the square prism = B² × L = 4² × 15 = 240 m³

∴ The volume of the composite figure ≈ 577.27 m³ - 240 m³ ≈ 337.27 m³

The volume of the composite figure ≈ 337.27 m³.

Hope it helps!!!!!!!Brainliest pls!!!!!!!

Suppose a radius of a circle is 17 units and a chord is 30 units long. Find the distance from the center of
the circle to the chord.

Answers

Answer:

Let A represent the center of the circle. Let the point B be a point at the intersection of the one end of the chord and the edge of the circle. Finally, let C represent a point between the center of the circle and the midpoint of the cord. The triangle ABC is a right triangle with a 90 degree angle at ACB. Since the cord length is 30, the bisected segment BC is length 15 .

(length AB)^2 = (length BC)^2 + (length AC)^2

17^2 = 15^2 + (length AC)^2

289 = 225 + (length AC)^2

add -225 to each side

64 = (length AC)^2

take square root of each side

8 = length AC

x+5=7 solve each equation ​

Answers

Answer:

x=2

Step-by-step explanation:

7-5=x

7-5=2

Answer:

Solution

or, X= 7-5

or, X=2

Your answer is 2.

I think it will help you.

A girl skates around the perimeter of a circular ice rink at a constant speed of 2 m/s. Which of the following is NOT a true statement about her speed, velocity, and acceleration?

Answers

Answer:

I believe it is C, she accelerates constantly as she changes direction constantly.

Step-by-step explanation:

The girl's speed is constant; therefore, she has no acceleration, and does not accelerate at all.

I hope this helped! :)

A recipe uses 4 cups of milk to make 24 servings. If the same amount of milk is used for each serving, how many servings can be made from two gallons?
1 gallon
=
1 gallon=


4 quarts
4 quarts
1 quart
=
1 quart=


2 pints
2 pints
1 pint
=
1 pint=


2 cups
2 cups
1 cup
=
1 cup=


8 fluid ounces
8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for? Using Proportion

Answers

Answer:

192 servings in two gallons

Step-by-step explanation:

16 cups= 1 gallon

32 cups= 2 gallons

find the unit rate

1 cup: __ servings

4:24

divide by 4

1:6

multiply by 32

=32:192

192 servings

Which expression is equivalent to (x9yz4)5?

Answers

Applying the rule of exponent, the equivalent expression is: [tex]\mathbf{x^{45}y^5z^{20}}[/tex]

What is the Rule of Exponents?

One of the rules of exponents is given as, [tex](xy)^m = (x^m)(y^m)[/tex].

Therefore, given:

(x9yz4)5

To find the equivalent expression, apply the rule of exponents as shown below:

[tex](x^9yz^4)^5 = (x^{9 \times 5})(y^5)(z^{4 \times 5})\\\\(x^9yz^4)^5 = x^{45}y^5z^{20\\\\[/tex]

Therefore, applying the rule of exponent, the equivalent expression is: [tex]\mathbf{x^{45}y^5z^{20}}[/tex]

Learn more about the rule of exponents on:

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Please help with geometry

Answers

A. 19. You have to set them up equal to each other. So, 6x-2=4x+36. You then subtract the 4x from the 6x, and add 2 to 36. Which leaves you with 2x=38. Divide and you get 19! Hope this helps

Simplify:
3(2p + 3 + 4p)

Answers

Answer:

6p + 9 + 12p

18p + 9

Step-by-step explanation:

3(2p + 3 + 4p)

Multiply all the numbers by the outside number. ex: 3(2p + 9). Multiply 3 x 2 which is 6. then you multiply 3 x 9 which is 27. So the answer would be 6p + 28.

Pt 2. 3 times 2 is 6 so you get 6p. Then you multiply 3 times 3 which is 9. then 3 times 4p which is 6 p.

pt 3. combine the like terms. 6p + 12p equals 18p.

so the answer would be 18p + 9.

(I tried my best. please dont judge.

Answer:

18p+9

Step-by-step explanation:

[tex]3\left(2p+3+4p\right)[/tex]

[tex]\mathrm{Simplify\;2p+3+4p=6p+3}[/tex]

[tex]=3\left(6p+3\right)[/tex]

[tex]Expand\;3(6p+3):18p+9[/tex]

[tex]=18p+9[/tex]

~Lenvy

How much more intense is an 8. 5 earthquake than a 5. 5

Answers

Answer:

it is more intense by 3.0

Step-by-step explanation:

Solve for x. Assume that lines which appear to be tangent are tangent.

Answers

Answer:

7)

[tex]\tt 2x-14=x-2[/tex]

[tex]\tt 2x-x=14-2[/tex]

[tex]\boxed{\tt x=12}[/tex]

~

8)

[tex]\tt -6+7x=5x+10[/tex]

[tex]\tt 7x-5x=6+10[/tex]

[tex]\boxed{\tt x=8}[/tex]

~

9)

[tex]\tt x-2=2x-6[/tex]

[tex]\tt 6-2=x[/tex]

[tex]\boxed{\tt x=4}[/tex]

~

10)

[tex]\tt 2x+10=4x-10[/tex]

[tex]\tt 4x-2x=10+10[/tex]

[tex]\tt 2x=20[/tex]

[tex]\boxed{\tt x=10}[/tex]

~

11)

[tex]\tt 5x+7=4x+15[/tex]

[tex]\tt 5x-4x=15-7[/tex]

[tex]\boxed{\tt x=8}[/tex]

~

12)

[tex]\tt 12x=11x+2[/tex]

[tex]\tt 12x-11x=2[/tex]

[tex]\boxed{\tt x=2}[/tex]

~

sofia took piano lessons for 18 months.How many years is that show your work

Answers

Each year is 12 months so it would be 1.5 years

A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?
14
24
28
56

Answers

14 because the average is 1 hit per 2 games

Answer:

14

Step-by-step explanation:

4 hits/8 games = 1 hit per 2 games =1/2

14 hits per 28 games = 14/28 =1/2

which of the following represents y -

Answers

Well the answer depends on what logic your using, and I truly believe that its A, pretty confident in that. If you were to use different logic in thinking i could see how youd pick B, but overall i think its A.

What is the next number on numerical number 39 32 25 18?

Answers

Answer:

11

Step-by-step explanation:

The pattern is the number minus 7. The next numbers after 11 would be 4, -3, -10 and so on.

It’s 11 it’s just subtracting as you go

The measure of the supplement of an angle is 46 more than 3 times the compliment of the angle. Find the angle.

Answers

Answer: 68 degrees

Step-by-step explanation:

Let the measure of the angle be x.

The supplement of the angle is 180 - x as supplementary angles add up to 180 degrees.

The complement of the angle is 90 - x as complementary angles add up to 90 degrees.

We can set up an equation.

180 - x = 46 + 3*(90-x)

180 - x = 46 + 270 - 3x

Combine like terms:

2x = 136

Divide both sides by 2:

x = 68

What are supplementary and complementary angles?

Supplementary angles are angles whose measure adds up to 180°Complementary angles are angles whose measure adds up to 90°

First, let's assign a variable to the unknown angle: xNext, set up an equation that represents the information you were given:

The supplement of an angle (180 - x) is [=] 46 more than 3 times the complement (90-x):

180 - x = 3 (90 - x) +46

Now, solve for x:

180 - x = 3 (90 - x) +46

180 - x = 270 - 3x +46

180 - x = 316 -3x

-x = 136 -3x

2x = 136

x = 68

The angle is 68°

A triangular prism has a base that is a triangle with each side length measuring 6 inches. By how much is the prism’s lateral surface area increased if the base of the triangle is doubled? Please show work because I need to write it down. Also pls reply ASAP, as this is due tomorrow.

Answers

Answer:

The lateral surface is increased by a factor of 2.

Step-by-step explanation:

Since each side of the base was doubled in length, but the height of the prism remains the same, all sides double in area.

Therefore the total new lateral area is double what it was.

The lateral surface is increased by a factor of 2.

PLS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

last one

Step-by-step explanation:

best answer out of the three, it’s the only one that makes sense

Answer:

the midpoint of ac.

Step-by-step explanation:

there really isnt a explanation brainly patrol dont take this down, this is the answer you can see it for yourselves.

The domain for f(x) = 3x + 2 is -3 ≤ x ≤ 2. The greatest value in the range of f(x) is?
A. -7
B. 2
C. 8
D. 11

Answers

just replace x with the highest value

f([tex]x_{max}[/tex]) = 3(2) + 2

= 8

The greatest value in the range of f(x) is 8.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

WE are given that the domain for f(x) = 3x + 2 is -3 ≤ x ≤ 2.

We just need to replace x with the highest value;

f(2) = 3(2) + 2

f(2) = 8

Therefore, The greatest value in the range of f(x) is 8.

Learn more about the domain and range of the function:

brainly.com/question/2264373

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Jannette says because 's sides form a Pythagorean triple and 's side lengths are multiples of 's side lengths. Is she correct? Explain your reasoning.

Answers

The similar triangles ABC and DEF may or may not have equal lengths

Janette's claim that triangles ABC and DEF are similar triangle is true

How to prove or disprove Janette's claim?

Start by calculating the length of the third sides using the Pythagoras theorem.

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

For triangle ABC, we have:

[tex]AC^2 = 20^2 + 21^2[/tex]

[tex]AC = 29[/tex]

For triangle DEF, we have:

[tex]58^2 = 40^2 + EF^2[/tex]

This gives

[tex]EF^2 = 58^2 - 40^2[/tex]

[tex]EF = 42[/tex]

So, we have the following corresponding lengths on both triangles

Triangle ABC             Triangle DEF               Common ratio

20                                      40                                    2

21                                       42                                    2

29                                      58                                    2

Since the common ratios are the same, then the triangles are similar

Hence, Janette's claim is true

Read more about similar triangles at:

https://brainly.com/question/14285697

Put the measurements in order from least to greatest.

Answers

28oz, 2lbs, 40oz, 3lbs

1. What makes the truss bridge design differ from the other bridges?

2. What makes the truss bridge stable and reliable design? 

Answers

Answer:

because it hasn't fallen yet

Step-by-step explanation:

I got commen since

leo is three times older than mark. If the sum of their ages is 32 how old is leo

Answers

Answer:

Leo is 24

Mark is 8

Lila spent a total of $125 over the past 5 weeks.
If she spent the same amount of money every week,
how much money did she spend per week?

Answers

Answer:

$25

Step-by-step explanation:

Just divide the total money she has spent by the number of weeks.

$125/5 = $25

pls help me with this math problem 90 points for you in return.

Answers

Answer:

K = -2J + 28

Step-by-step explanation:

To find the slope just look at rise over run.

The rise is -4 as it goes down and run is 2 to the right.

slope = rise/run = -4/2 = -2

The second blank is 28, you just have to see where the line touches the y axis.

What part of the story does x represent?

Answers

Answer:

x =x

Step-by-step explanation:

step 1 you can not identify an unknown variable therefore you leave it like that

What is the value of 27÷(−34⋅−45)?
4

16/15

28 4/5

45

Answers

Answer:

It would not be any of those answers. it would be 106 :) Its negative numbers divided

The value of expression is,

⇒ - 27 / 79

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 27 ÷ (- 34 - 45)

Now, We can simplify as;

⇒ 27 ÷ (- 34 - 45)

⇒ 27 ÷ - 79

⇒ - 27 / 79

Thus, After simplification, we get;

⇒ - 27 / 79

Learn more about the divide visit:

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two crocodiles together can finish their snack in 40 seconds. one of the crocodiles can finish the snack in 60 seconds. how long will it take the second crocodile to finish the same snack

Answers

20 seconds man sjejieirntnjsjaii s
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