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3 years ago

Let 2x-5y=16 and 5x+3y=9. what is the value of 12x+y

1 answer:

3 0

2x-5y=16 =>10x-25y=80
5x+3y=9 => 10x+6y=18
subtract one from the other: (6-(-25)y=(18-80), 31y=-62, y=-2
plug y=-2 in 2x-5y=16 to find x: 2x+10=16, x=3
12x+y=12*3-2=34

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Two prisms are similar and their ratio of similarity is 3:8.

trapecia [35]

Answer:

8.63 square units

Step-by-step explanation:

you must set up a proportion.

3 x

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after you set up that proportion, cross multiply to find x.

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5 0

2 years ago

What value of x satisfies

LenaWriter [7]

Answer:

See explanation

Step-by-step explanation:

The given trigonometric equation is $cos(90-x)=-\frac{\sqrt{3} }{3}$ .

We take the inverse cosine of both sides to get:

$90-x=cos^{-1}(-\frac{\sqrt{3} }{3})$

$90-x=125$

$x=125-90$

$x=-35\degree=325\degree$ to the nearest degree

None of the options satisfies the given equation.

But if the question is actually;

$cos(90-x)=-\frac{\sqrt{3} }{2}$

Then;

$90-x=\cos^{-1}(-\frac{\sqrt{3} }{2})$ .

$90-x=210$ .

$x=-120\degree$ .

$x=360-120=240\degree$ .

In this case the answer will be B

5 0

3 years ago

Read 2 more answers

Solve for y:y= [-7-6] answers: (a)-13 (b)13 (c)1 (d) -1 (e) none of these

Natali [406]

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$y= [-7-6]$

$y = -13$

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8 0

3 years ago

The sum of two numbers is 21 and their difference is 7 what are those two numbers

True [87]

If you need the sum than here is an equation for it 7x3= 21

6 0

3 years ago

Read 2 more answers

The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeter

Nostrana [21]

Answer:

Part a) The volume of the original pyramid is $15\ cm^{3}$

Part b) The volume of the pyramid increases by $6\ cm^{3}$

Step-by-step explanation:

The complete question is

Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$