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bija089 [108]
2 years ago
6

The length of a rectangle is 12y inches. The width of the rectangle is 4y + 6 inches. Find the perimeter of the rectangle in ter

ms of y. A. 16y + 6 B. 16y + 12 C. 32y + 6 D. 32y + 12
Mathematics
1 answer:
neonofarm [45]2 years ago
8 0
2(12y) = 24y
(4y+6)(4y+6)= 8y+12
24y+8y+12
D. 32y + 12
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Marvin spent 2.8 hours which is 35% of his time at the recreational center playing ping pong. How long was Marvin at the recreat
timofeeve [1]

Answer:

<u>3</u><u>5</u>×2.8

100

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6 0
3 years ago
Which equation can you use to solve for the volume of the cake?
lesantik [10]

Answer:

C. (40 × 60 × 10) + (30 × 60 × 10) = V

Step-by-step explanation:

Picture of the cake can be found in the attachment below :

To solve, we resolve the cake into two distinct boxes :

The lower which is lateral sits parallel, whose volume, = (length * width * height) = (60 * 30 * 10)

And the other which sits vertically ;

Volume = (length * width * height) = (10 * 60 * 40)

Then, we add;

Overall volume:

(60 * 30 * 10) + (10 * 60 * 40)

7 0
3 years ago
Verify the pythagorean identity 1 + c o t ^2 θ = c s c ^2 θ
Grace [21]

Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1

Therefore, by substitution, you can rewrite the identity as shown below:

1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta

Simpliying, you obtain:

\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta

The identity is verified.

6 0
3 years ago
Which number line best shows the position of square root of 13?
BaLLatris [955]
I assume you mean one that is not rational, such as √2. In such a case, you make a reasonable estimate of it's position, and then label the point that you plot.
For example, you know that √2 is greater than 1 and less than 2, so put the point at about 1½ (actual value is about 1.4142).
For √3, you know the answer is still less than 4, but greater than √2. If both of those points are required to be plotted just make sure you put it in proper relation, otherwise about 1¾ is plenty good (actual value is about 1.7321).
If you are going to get into larger numbers, it's not a bad idea to just learn a few roots. Certainly 2, 3, and 5 (2.2361) and 10 (3.1623) shouldn't be too hard.
Then for a number like 20, which you can quickly workout is √4•√5 or 2√5, you could easily guess about 4½ (4.4721).
They're usually not really interested in your graphing skills on this sort of exercise. They just want you to demonstrate that you have a grasp of the magnitude of irrational numbers.
6 0
3 years ago
Solve the proportion for x
NeTakaya

Step-by-step explanation:

72/64=x/8

=> x = (72×8)/64

=> x = 9.

hope this helps you.

5 0
2 years ago
Read 2 more answers
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