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2 years ago

An inequality is shown below.

Mathematics

1 answer:

bagirrra123 [75]2 years ago

4 0

You need to break this up into 3x+9≥27 to get x≥9 and 3x+9≤-36 to get x≤-15.
The correct answer would be a

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The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

Given:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

Length of AD:

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

Slant height:

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

Surface area of the square pyramid:

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

$SA = 174.848$

Rounding off to one decimal place, we get;

$SA = 174.8$

Thus, the area of the square pyramid is 174.8 cm²

7 0

2 years ago

Read 2 more answers

Which of the following relations is NOT a function?

topjm [15]

According to Wikipedia: "In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output."

So based of this we need to look for a set where one of the x values or the y values is the same, and the other number is different.

Answer:
B.
(1,4) and (1,1) both have the same x, but different y!

5 0

3 years ago

Shira’s Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. How many shoes did the com

azamat

Answer:

1250000

Step-by-step explanation:

Let number of the total number of shoes sold be 'y'

y*(70/100)= 875000

70y = 875000*100

y = (875000*100)/70

y = 1250000

3 0

3 years ago

Read 2 more answers

Which rate is equivalent to `72/9`? A. `8/1` B. `1/8` C. `8/2` D. `2/8`

Fed [463]

the answer is letter A. 8/1

4 0

3 years ago

Can anyone help me on this

Phantasy [73]

12) the product of ⅛ and a number
also the quotient of a number and y

16). the quotient of the fourth power of a number and 9

8 0

2 years ago