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Flura [38]
3 years ago
5

4(2y-7)=64+12y 2y-7=16+3y 5y=23 Y=4.6 Is this equivalent? (Explain)

Mathematics
1 answer:
ratelena [41]3 years ago
8 0
Yes it is equivalent because you need to isolate the y so divide by 5 on both sides and 23 divided by 5 is 4.6
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*Help ASAP Please! Studying for finals and I'm stuck on this question!*
Nezavi [6.7K]
First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2

If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12

Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).

I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
8 0
3 years ago
A jewelry box has a volume of 14 cubic inches. The area is 7 square inches. What is the height of the jewelry box.
sammy [17]

Answer:

2 inches

Step-by-step explanation:

a=Lw

v=lwh

lw= 7

14/7=2

6 0
3 years ago
Use a net to find the surface area of the right triangular prism shown:
vazorg [7]

The surface area of the right triangular prism is 270 sq ft

<h3>Total surface ara of the prism</h3>

The total surface area of the prism is the  sum of all the area of its faces

For the two triangles

A = 2(0.5bh)

A = bh

A = 7 * 12 = 84 sq.ft

For the two rectangles

A = 2lw

A = 2(6*12)

A = 2 * 72 = 144 sq.ft

For the third triangle;
Area  6ft * 7ft

Area = 42 sq.feet

Taking the sum of the areas

TSA = 84 + 144 + 42

TSA  = 270 sq ft

Hence the surface area of the right triangular prism is 270 sq ft

Learn more on surface area of prism here; brainly.com/question/1297098

3 0
2 years ago
Find the equation of the exponential function represented by the table below:​
aivan3 [116]

Answer:

I believe its y=5(4)^x

Step-by-step explanation:

The equation is supposed to look like y=ab^x

a is basically where it all starts, so where the y meets the 0

- so the 5 in the y's place meets the 0

b is what you're multiplying by on the y's side, which is by 4 every time

and the x is the exponent and since there is no exponent you leave it as x

4 0
3 years ago
Which answer describes the type of sequence?
rodikova [14]

Answer:

Geometric

Step-by-step explanation:

r=1/3

6 0
3 years ago
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