All categories

3 years ago

Does anyone know this? Needed ASAP

Mathematics

2 answers:

Assoli18 [71]3 years ago

7 0

Answer:

50 units²

Step-by-step explanation:

The area of a trapezoid can be found using the following formula.

$A=\frac{1}{2}h(b_{1} +b_{2} )$

The height of the trapezoid is 5 units. The bases are 8 units and 12 units.

$h= 5 \\b_{1} = 8\\b_{2} = 12$

Substitute the values into the formula.

$A=\frac{1}{2}*5(8+12)$

Solve inside the parentheses. Add 8 and 12.

8+12=20

$A=\frac{1}{2}*5(20)$

Multiply 5 and 20.

5*20= 100

$A=\frac{1}{2}*100$

Multiply 1/2 and 100 or divide 100 by 2.

100 * 1/2= 50 or 100/2= 50

$A= 50$

Add appropriate units. For this problem, the units are units².

$A= 50 units^2$

The area of the trapezoid is 50 square units.

anzhelika [568]3 years ago

4 0

Answer:

50 square units

Step-by-step explanation:

Using the formula provided, $a = \frac{1}{2}h(b_1+b_2)$ , substituting the height (5), b1 (8) and b2 (12), we can solve for the formula.

$a = \frac{1}{2}\cdot5(8+12)\\\\a = \frac{1}{2}\cdot5(20)\\\\a = \frac{1}{2}100\\\\a = 50$

Hope this helped!

You might be interested in

help. Sarah would like to make a 5 lb nut mixture that is 60% walnuts and 40% cashews . She has several pounds of walnuts and se

Yakvenalex [24]

Answers:

a) w+c = 5 ____equation(1) and w = c ____equation (2)

b) 2.5 lb walnuts and 2.5 lb cashews

Step-by-step explanation:

Let w pounds be the weight of walnuts required and c pounds be the weight of cashews required to make the new mixture.

Total weight of the new mixture = 5 lb

So,

Weight of walnuts + Weight of cashews = Total weight of the new mixture

w+c = 5 ____equation (1)

Now,

60% of walnuts +40% of cashews = 20% of walnuts + 80% of cashews

0.60w+0.40c = 0.20w+0.80c

Subtracting 0.20w from both the sides of the equation, we get

0.60w+0.40c-0.20w = 0.20w+0.80c-0.20w

Cancelling out the 0.20w and -0.20w from the right side, we have

0.60w-0.20w+0.40c = 0.80c

=> 0.40w+0.40c=0.80c

Subtracting 0.40c from both sides, we get

0.40w+0.40c-0.40c=0.80c-0.40c

Cancelling out 0.40c and -0.40 c form the left side, we get

0.40w = 0.40c

Dividing both sides by 0.40, we have

\frac{0.40w}{0.40} = \frac{0.40c}{0.40}

Cancelling out the 0.40's from the top and bottom, we get

w = c ____equation (2)

Plugging in w=c into the equation 1, we get

w+c = 5

=> c+c =5

=> 2c = 5

Dividing both sides by 2, we get

\frac{2c}{2} = \frac{5}{2}

Cancelling out the 2's from the left, we get

c = 2.5

Plugging in c=2.5 into the equation 1, we get

w+c = 5

=> w + 2.5 = 5

Subtracting 2.5 from both sides, we get

w+ 2.5 -2.5 = 5 - 2.5

Cancelling out the +2.5 and -2.5 from the left side, we get

w = 2.5

So, we need 2.5 lb walnuts and 2.5 lb cashews to make the new mixture.

- R3KTFORGOOD ☕

4 0

3 years ago

Anne can make 6 headbands 3/5 from meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What i

Marina CMI [18]

The amount of cloth needed to make 1 headband is 10 meters.

<h3>Unit value</h3>

Number of headbands Anne made = 6

Total clothes used = 3/5 meters

Cloth needed to make 1 headband = Number of headbands Anne made / Total clothes used

= 6 ÷ 3/5

= 6 × 5/3

= (6 × 5) / 3

= 30/3

= 10 meters

Therefore, the amount of cloth needed to make 1 headband is 10 meters.

Learn more about unit value:

brainly.com/question/14286952

#SPJ1

4 0

2 years ago

A coordinate plane linear graph shows inequalities. A line goes through (0, 1) and (2, minus 1). Another line goes through (0, m

Alborosie

The region in the graph that represents the solution of the system of linear inequalities y ≥ 2x − 3 and y ≤ -x + 1 is given by C region , This can be clearly understood from the graph attached.

<h3>What is Inequality ?</h3>

When two algebraic expressions are equated by an inequality operator then the mathematical statement formed is called inequality

It is given that a line passes through the points (0, 1) and (2, minus 1)

The equation of the line representing this is given by

y = mx+c

m = -1

y = -x+1

and the other line passing through the points of (0, minus 3) and (2, 1) is

m = 2

y = 2x -3

These are plotted on the graph

From intersection, region to the right of it is A, below is D, to the left is C, and above is B.

These are noted ion the graph

Then the inequalities are plotted y ≥ 2x − 3 and y ≤ -x + 1

The region in the graph that represents the solution of the system of linear inequalities y ≥ 2x − 3 and y ≤ -x + 1 is given by C region , This can be clearly understood from the graph.

To know more about Inequality

brainly.com/question/20383699

#SPJ1

6 0

2 years ago

A dress that sells for 50.00 now has a 10% discount marked on the tag . How much will you save off the regular price of the dres

vovikov84 [41]

10% of $50 is $5 you will pay $45 for a $50 dress so you save $5

6 0

3 years ago

A person riding in a elevator travels 240 feet in 30 seconds. What equation represents this relationship? How many feet will the

frosja888 [35]

The answer to this question is letter C

We can approach this by first finding the rate of feet per second traveled.

240(feet)/30(seconds)= 8 feet per second.

This answer resembles the slope for answer choice C.

To find the distance traveled in 10 seconds we do 10*8= 80 feet.

I hope this helps, please like and brainliest if correct, thank you!

5 0

3 years ago

Read 2 more answers