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ValentinkaMS [17]
2 years ago
6

Which expression is correct?"The square of the sum of a number and 5, added to 3, then squared"

Mathematics
1 answer:
brilliants [131]2 years ago
3 0

Answer:

5-n squared+3 squared

Step-by-step explanation:

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What is the relationship between Za and Zb? D А E a 6 С B Choose 1 answer: A Vertical angles ® Complementary angles B C Suppleme
Free_Kalibri [48]

Answer:

D. none of the above.

Step-by-step explanation:

   

7 0
2 years ago
Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
3 years ago
A rectangular prism has a width of 51 ft and a volume of 144 ft3. Find the volume of a similar prism with a width of 17 ft. Roun
meriva

Answer:

5.3\ ft^3

Step-by-step explanation:

Similar shapes with scale factor k have proportional volumes with coefficient k^3 i.e.

\dfrac{V_{large}}{V_{small}}=k^3,

where

k=\dfrac{\text{width of large prism}}{\text{width of small prism}}.

Since

\text{width of large prism}=51\ ft,\\ \\\text{width of small prism}=17\ ft,

then

k=\dfrac{51}{17}=3.

Hence,

\dfrac{144}{V_{small}}=3^3\Rightarrow V_{small}=\dfrac{144}{27}=\dfrac{16}{3}=5\dfrac{1}{3}\approx 5.3\ ft^3.

7 0
3 years ago
Circle area of a radius of 3
Nat2105 [25]

Answer:

A=28.27

Step-by-step explanation:

8 0
3 years ago
What is the answer to this equation y=4x+8x for x
Juliette [100K]
Solve for x by simplifying both sides of the equation, then isolating the variable
x is equal to y/12
8 0
3 years ago
Read 2 more answers
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