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4 years ago

3 to the 2 power times 5 to the 3 times 8 divided by 3 times 5 to the 3 times 8

Mathematics

1 answer:

IceJOKER [234]4 years ago

3 0

Answer:

Step-by-step explanation:

First condense all the numbers with exponents:

3² x 5³x 8 divided by 3 x 5³ x 8

27 x 125 x 8 divided by 3 x 27 x 8

Then multiply 27 , 125 ,and 8

27 x 125 x 8 =27000

Then multiply 3, 27 ,and 8

3 x 27 x 8 = 648

Then divide 27000 by 648

27000 / 648 = 41.6666666667

Which rounds to about: 42

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A submarine dives as shown in the diagram.

Marianna [84]

Answer:

Tan x = 125/500= 0.25

so x = arctan (0.25)

=14 degree

8 0

4 years ago

Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8

Svetach [21]

Answer: ≥ without the line on the bottom.

Step-by-step explanation:

I am assuming the expression you are talking about are

$3w^{2} +1$ and $10w+8$ .

If we were to replace w with 4 and calculate, we will find the answer:

$3*4^{2} +1=3*16+1=48+1=49$

$10*4+8=40+8=48$

Since the first expression, $3w^{2} +1$ , is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.

6 0

3 years ago

From the observation deck of a skyscraper, Madison measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If

mrs_skeptik [129]

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

<h3>What is trigonometric ratio?</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Find out more on trigonometric ratio at: brainly.com/question/24349828

5 0

2 years ago

Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par

ozzi

Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

8 0

3 years ago

58 = 7/4x well, basically I am really bad with fractions, and I'm supposed to do this on a computer, I don't have a calculator I

KiRa [710]

58=7/4x
Multiply both sides by 4 so the fraction cancels out:
232=7x
Divide both sides by 7:
x=33.14 (rounded)

Hope this helps :)

4 0

4 years ago