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DIA [1.3K]
2 years ago
11

Help me pleaseee!!!!!

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
5 0

Answer:

x  \: is \: 3 \:  \: when \: \:  \: y \: is \: 18 \\ x   \: is \: 4 \:  \: when \:  \: y \: is \: 24

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The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.
Goryan [66]

<u>Given</u>:

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

We need to determine the surface area of the pyramid.

<u>Length of AD:</u>

The length of AD is given by

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

       4=FD

Length of AD = 8 cm

<u>Slant height:</u>

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

<u>Surface area of the square pyramid:</u>

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
3 years ago
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I NEED IT ASAP AS WELL THANKS!
Musya8 [376]

Answer:

B, The initial number of bacteria increases at a rate of 24% each day.

Step-by-step explanation:

I think the answer is B because it is the one that closely matches the problem. 312 is multiplied by 1.24 with an exponent. Just eyeballing it, it's multiplied by itself and then an increase of 24%. Also, none of the other statements seem to be correct, D not even making sense in the scope of the problem. Hope this helps, good luck.

5 0
3 years ago
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A sunflower is 13 inches tall and grows 41 inches each month. The
adelina 88 [10]

Answer:

j

Step-by-step explanation:

6 0
3 years ago
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3xy + x = -29 Literal Equations! Solve for X. Show solution please! Thanks in advance!
frosja888 [35]
3xy+x=-29
-3xy -3xy
x= -3xy-29
4 0
3 years ago
Factor the polynomial function over the complex numbers. f(x)=x^3-2x^2+3x-6
Airida [17]

f(x)=x^3-2x^2+3x-6=x^2(x-2)+3(x-2)=(x-2)(x^2+3)\\\\i=\sqrt{-1}\to i^2=-1\\\\x^2+3=x^2-(-3)=x^2-3i^2=x^2-(\sqrt3)^2i^2)=x^2-(i\sqrt3)^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\boxed{f(x)=(x-2)(x-i\sqrt3)(x+i\sqrt3)}

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