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3 years ago

8^x=2^6 What is the value of x?

Mathematics

1 answer:

Anon25 [30]3 years ago

3 0

The answer to your question is 2.

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Carlotta has 12 2/3 yd of ribbon to be divided among 19 girls in the cheerleading squad.how much ribbon will each girl get if it

trasher [3.6K]

Answer:

Each girl gets 2/3 yd of ribbon.

Step-by-step explanation:

12 2/3=38/3

(38/3)/19

(38/3)(1/19)

(2/3)(1/1)=2/3

4 0

3 years ago

4m+5+5m+40=180 Help!!!

OLEGan [10]

First, let's put all of the variables together.

4m + 5m + 5 + 40 = 180.

Add them.

M is the same multiplier, so we can add 4 and 5 together to make 9m.

Add 5 and 40.

9m + 45 = 180.

From here, we can go two ways. I will show the first way, which is my personal preference.

We want to get rid of the coefficient on m to isolate it, so we must divide it by its coefficient. The coefficient on m is 9. So, divide m by 9. We must also divide everything else by 9.

9m/9 = 1m

45/9 = 5

180/9 = 20

Plug it in--

m + 5 = 20.

Subtract the 5 from both sides to isolate m.

m = 15.

4 0

3 years ago

Read 2 more answers

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

The ellipse is centered at the point (-3,2). The length of its horizontal axis 7. What is the ellipse's equation?

Gelneren [198K]

(-3,2) x 7 is the quation

4 0

3 years ago

The solution shown for the equation is incorrect. What is the correct solution? What is the error?

Degger [83]

-9(3-r)=45
-27+9t=45
9r=45+27
R=72/9
R=8
The answer is 8 not -8

5 0

3 years ago