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Lostsunrise [7]
3 years ago
13

Answer the 3 questions PLEASE

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer:The answer is 62.5.

Step-by-step explanation:

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Verify the identity. <br> Please show your work.
m_a_m_a [10]

Step-by-step explanation:

To prove :

( 1 - sin x ) ( 1 + sin x ) = sec² x

LHS : -

( 1 - sin x ) ( 1 + sin x )

Formula / Identity : -

( a - b ) ( a + b ) = a² - b²

Here,

a = 1

b = sin x

( 1 - sin x ) ( 1 + sin x )

= 1 - sin² x

Identify : -

sin² θ + cos² θ = 1

cos² θ = 1 - sin² θ

Similarly,

1 - sin² x

= cos² x

= RHS

Hence verified.

5 0
3 years ago
Use the distributive property to fill the blanks. 3x(8-1)=(3x_)-(3x_)
wel
4 and 6 this is the correct answer
4 0
3 years ago
A rectangular box has length x and width 3. The volume of the box is given by y = 3x(8 – x). The greatest x-intercept of the gra
CaHeK987 [17]

Consider rectangular box with

  • length x units (x≥0);
  • width 3 units;
  • height (8-x) units (8-x≥0, then x≤8).

The volume of the rectangular box can be calculated as

V_{box}=\text{length}\cdot \text{width}\cdot \text{height}.

In your case,  

V_{box}=3\cdot x\cdot (8-x).

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).

From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.

Then the volume will be V=0 (minimal).

Answer: correct choices are B (the maximum possible length), C (the minimum possible height)

7 0
3 years ago
Which of the following sets of numbers could not represent the three sides of a
sweet-ann [11.9K]
I think the answer is d hope this helps
4 0
3 years ago
Read 2 more answers
The surface area of a cone is 54 square inches. What is the surface area of a similar cone that is three times as large?
12345 [234]

<u>Given</u>:

Given that the surface area of the cone is 54 square inches.

We need to determine the surface area of the cone that is similar to the cone three times large.

<u>Surface area of the similar cone:</u>

Let us determine the surface area of the similar cone.

The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.

Thus, we have;

SA = 3 \times 54

SA=162

Thus, the surface area of the similar cone is 162 square inches.

6 0
3 years ago
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