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
SVETLANKA909090 [29]
3 years ago
13

How do i find the area of a trapezoid (pictures provided)

Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

(10x - 5) square units.

Step-by-step explanation:

Let the lengths of equal sides be x units.

Hence, AB + AD + DC = x + x + x = 3x

Therefore, BC = 3x - 2

Area  \: of \:  trapezoid  \\ =  \frac{1}{2} (AD + BC)  \times 5 \\  = \frac{1}{2} (x + 3x - 2)  \times 5  \\ = \frac{1}{2} (4x - 2)  \times 5  \\ = \frac{1}{2} \times 2 (2x - 1)  \times 5  \\  = (2x - 1) \times 5 \\  = (10x - 5) \:  {units}^{2}

You might be interested in
A six-sided number cube is “weighted” so that the numbers do not all have the same probability of landing up. The probability mo
Anastasy [175]

Answer:

P(number greater than 3) = \frac{7}{12}

Step-by-step explanation:

The  Probability of  getting a number greater than 3  means the possibility of getting 4  or 5 or 6

That is

P(number greater than 3) =  P(getting 4)  +  P(getting 5) + P(getting 6)

On substituting the values from the table ,

we get

P(number greater than 3)  = \frac{2}{12} +  \frac{2}{12} + \frac{3}{12}

P(number greater than 3) = \frac{7}{12}

Thus if the number cube is tossed once, P(number greater than 3) is  \frac{7}{12}

3 0
3 years ago
What is (f−g)(x)<br> (f−g)(x)=
quester [9]

Answer:

3x^5 -2x^4 -x^2 +x -21

Step-by-step explanation:

We need to subtract g(x) from f(x)

f(x) = 3x^5 +6x^2 -5

g(x) = 2x^4 +7x^2 -x+16

f(x) -g(x) = 3x^5 +6x^2 -5 - (2x^4 +7x^2 -x+16)

Distribute the minus sign

3x^5 +6x^2 -5 - 2x^4 -7x^2 +x-16

I like to line them up vertically

3x^5             +6x^2      -5

        - 2x^4 -7x^2    +x-16

---------------------------------------

3x^5 -2x^4 -x^2 +x -21

6 0
3 years ago
THIS IS VERY IMPORTANT!
tatyana61 [14]

Answer:

I think Leslie Is 20

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A clay model of a new car is 7 in. Long. The actual car is 21 ft long. Part 1: What proportion can you use to find the scale use
Lapatulllka [165]

Answer:

3ft:1in

Step-by-step explanation:

Given the clay model of a new car = 7in

If the actual car is 21ft, first we will have to convert 21ft to inches

Ift = 12in

21ft = x

x = 21×12.

x = 252in

21ft = 252in

This means that the clay model (7in) has to be scaled up to 252in. This is known as enlargement.

To know the scale of the model, we will take the ratio of the actual car to the clay as shown

Scale = actual car model/clay car model

Scale = 252/7

Scale = 36/1

We can also use the exact units of both measurement used in question

Scale = 21ft/7in

Scale = 3ft/1in

Hence the scale of the model is 3ft:1in

8 0
4 years ago
Find the value of x.
Margaret [11]

Answer:

x = 10

Step-by-step explanation:

note that sin30° = \frac{1}{2}

Since the triangle is right use the sine ratio to find x

sin30° = \frac{opposite}{hypotenuse} = \frac{5}{x}

multiply both sides by x

x × \frac{1}{2} = 5 ( multiply both sides by 2 )

x = 10


3 0
3 years ago
Read 2 more answers
Other questions:
  • Audrey deposited $10,000 into a 3-year certificate of deposit that earned 10 percent annual interest, compounded annually. Audre
    7·1 answer
  • Y=2x-5 -3x - 4y=-2
    12·1 answer
  • Two points on a line are (3, 6) and (4, 9). What is the slope of the line?
    12·1 answer
  • What is 21 divided by 50
    13·2 answers
  • How do you know whether two quantities x and y are proportional?
    12·1 answer
  • Can someone answer 1 and 2 please HELP ME IM IN TERRIBLY NEED FOR THIS
    11·1 answer
  • What is the equation of the line that is parallel to y = –4x + 3 and has a y-intercept of -1/3
    14·1 answer
  • Michal got a $50 gift card to an online music store. He bought an $10 album.He wants to buy songs that cost $1.25? Per song. Wri
    8·1 answer
  • Pls help i need help​
    6·1 answer
  • Can someone help me with this question
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!