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4 years ago

Factor 3/4 x^2 +31/20 x-3/5

Mathematics

1 answer:

34kurt4 years ago

7 0

3/4x^2+31/20x-3/5 factored is (3x-1)(5x+12)/20

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A triangular pyramid has a volume of 333 and one-third yards cubed. What are the possible measures of the area of the base, B, a

FrozenT [24]

To find the option that satisfies the volume of the triangle, we can solve each option.

Formula for the volume a triangular prism: V = 1/3bh

Option A:

B = 50 centimeters squared; h = 10 centimeters

V = 1/3(50)(10)

V = 1/3(500)

V = 166.666... or 166 2/3 yards.

Therefore, this option is incorrect.

Option B:

B = 50 centimeters squared; h = 30 centimeters

V = 1/3(50)(30)

V = 1/3(1500)

V = 500 yards.

Therefore, this option is incorrect.

Option C:

B = 100 centimeters squared; h = 10 centimeters

V = 1/3(100)(10)

V = 1/3(1000)

V = 333.333... or 333 1/3 yards.

Therefore, this option is correct.

Option D:

B = 100 centimeters squared; h = 30 centimeters

V = 1/3(100)(30)

V = 1/3(3000)

V = 1000 yards.

Therefore, this option is incorrect.

Hence, the correct answer is [ B = 100 centimeters squared; h = 10 centimeters ]

Best of Luck!

6 0

3 years ago

Given that m and n are parallel, and p is a transversal that is perpendicular to m, give an explanation for why it must also be

IrinaVladis [17]

Answer:

p is perpendicular to n. Proved.

Step-by-step explanation:

See the diagram attached.

Let us assume that mm' and nn' are two straight lines parallel to each other and pp' is a transversal.

It is given that pp' is perpendicular to mm' i.e. ∠po'm = 90°

Now, since mm'║nn' and pp' is a transversal, so, ∠pon = ∠po'm = 90° {Those are corresponding angles}

So, pp' is also perpendicular to nn'. {Proved}

8 0

3 years ago

How is multiplying two mixed numbers like multiplying two proper fractions

Inga [223]

I think this is it but not sure sorry

4 0

3 years ago

Find the slope of the line that goes through the points (-1,-2) and (-3,-4)

diamong [38]

Answer:

the answer is 1

(-4-(-2)) divided by (-3-(-1))

6 0

3 years ago

Solve.

kifflom [539]

The answer is .... C. d>0

Hope it helps !!!!

4 0

3 years ago