1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
r-ruslan [8.4K]
2 years ago
10

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 t

he sother side ​
Mathematics
1 answer:
Vilka [71]2 years ago
8 0

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,

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

Now, Substituting the given values in the formula :

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

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

\qquad { \dashrightarrow \: { \sf{ 80 + 5x = {140}}}}

\qquad { \dashrightarrow \: { \sf{  5x = {140 - 80}}}}

\qquad { \dashrightarrow \: { \sf{  5x = {60}}}}

\qquad { \dashrightarrow \: { \sf{  x = { \dfrac{60}{5} }}}}

\qquad { \dashrightarrow \: { \pmb{  x = { 12 }}}}

Therefore,

  • The other parallel side of the trapezium is 12 cm.
You might be interested in
Bro help me idk this one q-q <br><br>n × 5 + 4 × 2 - 4 × 3 = 42​
lina2011 [118]

Answer:

n = 9.2

Step-by-step explanation:

Isolate the variable by dividing each side by the numbers that do not contain the variable

7 0
3 years ago
Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

6 0
2 years ago
On the grid, draw the graph of<br> y = 2x - 3<br> for values of x from -2 to 4<br> Q
Pie

Answer:

Plot these points:(-2,-7) (-1,-5) (0,-3) (1,-1) (2,1) (3,3) (4,5)

Step-by-step explanation:

You need to substitute your x values into the x of the equation y=2(3)-3 to find the y value...

3 0
3 years ago
Which is the following number has a prime factorization of 2 x 5x5? 50. 20. 30. 15.​
dybincka [34]
AnsweR = 50
Explanation = 50
6 0
3 years ago
What is f(0)?<br> 4<br> 5<br> 6<br> 7
Nutka1998 [239]

Answer with a Step-by-step explanation: We are given the table as:

x    f(x)

0     6

2      7

4      0

7      5

i.e. corresponding to different values of x we are given the values of f(x)

we have to find the value of f(0)

i.e. we have to find the value of f(x) when x=0

As we can see from the table the value of f(x) at x=0 is 6

Hence, Correct option is:

C) 6

4 0
3 years ago
Other questions:
  • Write a quadratic function f whose zeros are - 5 and 7.
    7·1 answer
  • The sum of three consecutive odd integers is 75. find the value of all three integers.
    8·2 answers
  • How many centimeters are in 35 inches? (1 in. = 2.54 cm)
    12·1 answer
  • Simplify. 10/27 divided by 5/9​
    12·2 answers
  • Which dimensions will create an unlimited number of triangles?
    6·2 answers
  • HELPPP!!!
    5·1 answer
  • In a recent snail race,the winning snail traveled 5.85 cm 3/4 of a minute. How fast was the snail traveling in centimeters per s
    5·2 answers
  • A bag contains 12 blue marbles, 15 red marbles, and 13 purple marbles. If Monty randomly draws a marble from the bag (and puts i
    11·1 answer
  • Estimate the product of 45.67and 1.42​
    14·1 answer
  • Help me please please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!