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3 years ago

What is the solution to the equation below? Round your answer to two

Mathematics

1 answer:

nekit [7.7K]3 years ago

5 0

Answer:

x = 105.41

Step-by-step explanation:

24•log(3x) = 60

Divide by 24

log (3x) = 60/24

log (3x) = 5/2

Raise each side to the power of 10

10 ^ log (3x) = 10^5/2

3x= 10 ^5/2

Divide by 3

3x/3 = 1/3 * 10 ^ 5/2

x = 1/3 (100 sqrt(10))

x=105.40925

To two decimal places

x = 105.41

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Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it

vodka [1.7K]

If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.

<h3>What is a rectangular prism?</h3>

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.

Its width is 3 and 1/2 in and its height is 77 in.

Then the width of the prism will be

$\rm W = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}$

Then the length of the popcorn box in inches will be

$\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3$

More about the rectangular prism link is given below.

brainly.com/question/12649592

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3 years ago

Simplify this expression:<br> (m+3)(m^2-2m+2)

leva [86]

Answer:

m^3+m^2-4m+6

Step-by-step explanation:

Expand m (m+3) (m^2-2m+2) by multiplying each term in the first expression by each term in the second expression.

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3 years ago

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andreyandreev [35.5K]

Step-by-step explanation:

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3 years ago

A 20ft ladder leans against a building and it touches the building 18ft above the ground. What is the angle of elevation that th

sammy [17]

Answer:

The angle is [/tex]64.1581^{\circ}[/tex]

Step-by-step explanation:

You can figure this out using the sine function:

$\sin(v)=\frac{18 ft}{20 ft} \\= \frac{9}{10}\\ v= \arcsin(\frac{9}{10} )\\= 64.1581^{\circ}$

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3 years ago

PLEASE HELP ASAP 9TH GRADE MATH AND I NEED HELP, 15 POINTS AND BRAINLIST HELPPPP

Sunny_sXe [5.5K]

Answer:

x = 40°

Step-by-step explanation:

Given that ∠SRT ≅ ∠STR

Then ∠STR = 20

∠STR and ∠STU are what you call supplementary angles. This means that the sum of their measurements is equal to 180° because they form a straight line.

So if:

∠STR + ∠STU = 180°

m∠STU = 4x

m∠STR = 20

Then:

4x + 20° = 180°

Now we solve for x:

$4x + 20 = 180\\\\Subtract\;20\;from\;both\;sides\;of\;the\;equation\\\\4x + 20 - 20 = 180 - 20\\4x = 160\\\\Divide\;both\;sides\;of\;the\;equation\;by\;4\\\\\dfrac{4x}{4}=\dfrac{160}{4}\\\\x = 40$

x = 40°

8 0

3 years ago