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3 years ago

Select all the triangles that have an area of 30 square units.

Mathematics

1 answer:

marta [7]3 years ago

6 0

Answer:

A and C

Step-by-step explanation:

Area of ∆ = ½*base*height

Area of figure A:

base = 6

height = 10

Area = ½*6*10 = 3*10 = 30 square units

Area of figure B:

base = 10

height = 8.66

Area = ½*10*8.66 = 5*8.66 = 43.3 square units

Area of figure C:

base = 10

height = 6

Area = ½*10*6 = 5*6 = 30 square units

Area of figure D:

base = 6

height = 8

Area = ½*6*8 = 3*8 = 24 square units

Area of figure E:

base = 3

height = 10

Area = ½*3*10 = 3*5 = 15 square units

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liam has 8 3/4 gallons of paint. he wants to use 2/5 of paint to paint his livingroom. how many gallons of paint will liam use?

slava [35]

Answer:

Liam will use 3.5 gallons of paint to paint his living room

Solution:

Given that Liam has $8 \frac{3}{4}$ gallons of paint.

He uses $\frac{2}{5}$ of paint to paint his living room

We need to find how many gallons of paint will Liam use

The gallons of paint Liam used can be found as follows:

Amount of paint Liam has = $8 \frac{3}{4}$ gallons

Converting mixed fraction $8 \frac{3}{4}$ to decimal we get 8.75

Amount of paint used = 2/5th of available amount

$= \frac{2}{5} \times 8.75=3.5 \text { or } 3 \frac{1}{2} \text { gallons }$

Hence Liam will use 3.5 gallons of paint to paint his living room

3 0

3 years ago

Select the correct answer.

Rashid [163]

Answer: D. (4,3)

The x coordinates of A and B are 9 and -1 in that order. Add them up to get 9+(-1) = 9-1 = 8. Then divide by two to end up with 8/2 = 4. The midpoint has an x coordinate of 4.

Repeat for the y coordinates. Add them up: 8+(-2) = 8-2 = 6. Then divide by two: 6/2 = 3. The midpoint has an y coordinate of 3.

Those two coordinates pair up to get (x,y) = (4,3) which is the midpoint of segment AB.

7 0

3 years ago

Please help!! I NEED IT VERY BADLY

I am Lyosha [343]

Answer:

3/4

Step-by-step explanation:

tan A =opposite/adjacent = 6/8 =3/4

Hope this helps

Have a good day

6 0

3 years ago

Solve. 2(2z – 4) = 4

Oxana [17]

Answer:

$z = 3$

Step-by-step explanation:

1) Divide both sides by 2.

$2z - 4 = \frac{4}{2}$

2) Simplify 4/2 to 2.

$2z - 4 = 2$

3) Add 4 to both sides.

$2z = 2 + 4$

4) Simplify 2 + 4 to 6.

$2z = 6$

5) Divide both sides by 2.

$z = \frac{6}{2}$

6) Simplify 6/2 to 3.

$z = 3$

therefor, the answer is z = 3.

4 0

2 years ago

A local hamburger shop sold a combined total of 605 hamburgers and cheeseburgers on Friday. There were 55 more cheeseburgers sol

Zinaida [17]

H + c = 605
c = h + 55

h + h + 55 = 605
2h + 55 = 605
2h = 605 - 55
2h = 550
h = 550/2
h = 275 <== there were 275 hamburgers sold on Friday

c = h + 55
c = 275 + 55
C = 330...there were 330 cheeseburgers sold on Friday

8 0

3 years ago