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4 years ago

Given the three sides of a triangle, classify

Mathematics

1 answer:

Nuetrik [128]4 years ago

4 0

Answer:

acute

Step-by-step explanation:

Given the 3 sides of a triangle a, b, c ( where c is the longest )

• If a² + b² = c² ⇒ right triangle

• If a² + b² > c² ⇒ acute angled triangle

• If a² + b² < c² ⇒ obtuse angled triangle

Here a = $\sqrt{11}$ , b = $\sqrt{7}$ , c = 4

c² = 4² = 16

a² + b² = ( $\sqrt{11}$ )² + ( $\sqrt{7}$ )² = 11 + 7 = 18

Since a² + b² > c² then triangle is acute

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Rain falls steadily all day, dropping 2 inches of rain each hour. what does the graph look like

Irina-Kira [14]

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3 years ago

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The length of a rectangle is three times its width. If the perimeter of the rectangle is 64 ft, find its length and width.

tankabanditka [31]

Answer:

Step-The length of a rectangle is three times its width. If the perimeter of the rectangle is 64 ft, find its length and width.by-step explanation:

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3 years ago

50 POINTS!!!!! HELP Soybean meal is 16% protein; cornmeal is 8% protein.How many pounds of each should be mixed together in orde

tia_tia [17]

The first thing we are going to do for this case is define variables.
We have then:
x: Amount of soybean meal
320 - x: quantity of cornmeal
We now write the equation that models the problem:
$0.16x + 0.08 (320-x) = 0.09 (320)
$
Rewriting we have:
$0.16x + 25.6 - 0.08x = 28.8
$
From here, we clear x:
$0.16x - 0.08x = 28.8 - 25.6

0.08x = 3.2

x = 3.2 / 0.08

x = 40$
Then, the amount of Soybean meal is:
$x = 40 lb
$
The amount of cornmeal is:
$320 - x = 320 - 40 = 280 lb
$
Answer:
cornmeal: 280 lb
Soybean: 40 lb.

4 0

3 years ago

3) The girls soccer team is doing a fund- raiser for new soccer uniforms. They need to raise at least $2,000. A local merchant h

USPshnik [31]

Answer:

Step-by-step explanation:

Let x represent the number of plain T-shirts that were sold.

Let y represent the number of fancy T-shirts that were sold.

A local merchant has promised to donate up to 150 plain and deluxe t-shirts to help the team with their fundraiser. This means that

x + y ≤ 150

Plain t- shirts sell for $8 each and fancy t-shirts sell for $12 each. Therefore, the total cost of x plain T-shirts would be 8x and the total cost of x fancy T-shirts would be 12x

They need to raise at least $2,000. This means that

8x + 12y ≥ 2000

If the soccer team sells 70 fancy t shirts, then,

8x + 12 × 70 ≥ 2000

8x ≥ 2000 - 840

8x ≥ 1160

x ≥ 1160/8

x ≥ 145

The minimum number of plain t-shirts that they need to sell is 145

4 0

3 years ago

Question 7

Natalija [7]

Answer:

10^4x 4^5 hope that helps you out

6 0

3 years ago