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3 years ago

Solve: log(2)(3x + 8) = 5 Which is an equivalent equation?

Mathematics

2 answers:

Rzqust [24]3 years ago

8 0

You can just simplify to make an equivalent equation:

(2)(3x + 8) = 5 ⇒ 6x + 16 = 5

Answer:

$\boxed{\bf~6x + 16 = 5}$

Hope it helped,

BioTeacher101

(If you have any questions feel free to ask them in the comments)

Debora [2.8K]3 years ago

5 0

Answer

x = 8

Explanation

㏒₂ (3x + 8) = 5

5 =㏒₂ 2⁵.

∴ ㏒₂ (3x + 8) = ㏒₂ 2⁵

If the right side of the equation above is equal to the left side, then it is true to say that;

(3x + 8) = 2⁵

3x + 8 = 32

3x = 32 - 8

3x = 24

x = 24/3

= 8

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Find the surface area of each figure.

timurjin [86]

Answer:

For a cylinder of radius R and height H, the surface area is given by:

A = 4*pi*R^2 + H*(2*pi*R)

Where pi = 3.14

We can just use that formula for each one of the given cylinders.

1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

R = 10yd/2 = 5yd

And the height is 3yd, then H = 3yd

Replacing these in the area equation, we get:

A = 4*3.14*(5 yd)^2 + 3yd*(2*3.14*5yd) = 408.2 yd^2

2) Here we can see that the diameter is 24 cm, then the radius is:

R = 24cm/2 = 12cm

And the height is H = 10cm

Then the area is:

A = 4*3.14*(12 cm)^2 + 10cm*(2*3.14*12cm) = 2,562.24 cm^2

3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:

A = 4*3.14*(12 cm)^2 + 7cm*(2*3.14*12cm) = 2,336.16cm^2

4) Here is hard to see the measures, I think that here we have:

diameter = 8m

Then R = 8m/2 = 4m

And the height is also 8m, H = 8m

Then the area is:

A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2

6 0

3 years ago

Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl

icang [17]

Iwould think its Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 28°

I hope I helped

Brainliest would be appreciated

Have a great day!

3 0

3 years ago

Read 2 more answers

Carly has 2 more nickles than dimes in her pocket She has 40 cents How many nickels does carly have ? how many dimes does carly

zlopas [31]

She has two dimes and four nickels.

8 0

4 years ago

How to solve step by step

Oliga [24]

Create an equation. Since all of the angles of any triangle add up to 180 degrees, our equation will be:
7x+25+9x+25+5x+25=180.
Now, jus solve for x.
Combine like terms
21x+75=180
Subtract 75 on both sides to further simplify.
21x=105
Finally, divide both sides by 21 to isolate x.
X=5
Hope this helps!

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3 years ago

The ideal width of a safety belt strap for a certain automobile is 6 cm. The actual width can vary by at most 0.45 cm. Write an

OlgaM077 [116]

Answer:

$|x-6|\le 0.45$

$x\in [5.55,6.45]$

Step-by-step explanation:

Absolute Value Inequality

Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.

Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.

The variation (unsigned) from the ideal width is:

$|x-6|$