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4 years ago

Translate the following phrase into an algebraic expression using the variable w. Do not simplify.

Mathematics

1 answer:

loris [4]4 years ago

3 0

Answer:

2 * ( [2w-8] + w)

Step-by-step explanation:

width = w

Length = 2w -8

Perimeter of Rectangle = 2 (l+b)

= 2 * ( [2w-8] + w)

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A rectangular fish tank measures 26 cm by 20 cm by 18 cm. The tank is filled with water to a depth of 15. How many more mL of wa

8090 [49]

Assuming 18cm is the height (depth) then you have just 3cm more to fill to top.

volume = 26cm x 20cm x 3 cm = 1,560 cm cubed or 1,560 ml

6 0

4 years ago

What is BC? Enter your answer in the box _units

laiz [17]

Answer:

Step-by-step explanation:

It's an isosceles triangle (congruent angles ∠C ≅ ∠B).

Therefore AC = AB.

We have the equation:

$4x+1=2x+23$ subtract 1 from both sides

$4x=2x+22$ subtract 2x from both sides

$2x=22$ divide both sides by 2

$x=11$

Substitute the value of x to the expression BC = 3x - 8:

$BC = 3(11) - 8=33-8=25$

3 0

3 years ago

Complete the synthetic division problem below. What is the quotient in polynomial form?

stellarik [79]

The polynomial would be 2x+5.

We bring down the first number inside the box, 2, unchanged.

_______
-1| 2 7 5
_______
2

Now we multiply that 2 by the number outside, -1:
_______
-1| 2 7 5
 -2
 2

Now we add the two numbers in the middle column:
________
-1| 2 7 5
 -2 
2 5

Multiply the 5 we brought down by the -1:
________
-1| 2 7 5
 -2 -5
 2 5

Add the numbers in the last column:
________
-1| 2 7 5
 -2 -5
 2 5 0

The 3 numbers under the box represent the coefficients of x² and x, as well as the constant. When we finish, we no longer have an x², but start at the next level down, which would be x. 2 would be the coefficient of x and 5 would be the constant, with 0 remainder.

3 0

3 years ago

2. Find the area of the regular polygon.

mash [69]

Answer:

P = 80

A = 480²

Step-by-step explanation:

To solve for the base we use the Pythagorean Theorem

$13^2-12^2=25\\\sqrt{25} =5$

then we multiply by 2 to get the side length

2x5=10

this is an 8 sided figure with congruent sides so to get the perimeter we multiply 8 and 10

8x10=80 so the perimeter is 80

To find the area of a regular polygon we multiply the apothem (12) and the perimeter (80) and divide by 2

12x80=960

960/2=480

the area is 480²

4 0

3 years ago

Jacklynn wondered how much of the moon covers if half of the moon is shaded. She learned in Science Class that the moon has radi

Lesechka [4]

Answer:

6.3 × 10⁶ square miles

Step-by-step explanation:

We are given,

The radius of the moon is approximately 1000 miles.

We know that the moon resembles a sphere and also,

Area of sphere = $4\pi r^{2}$ , where r is the radius.

Now, the area of the moon = $4\pi 1000^{2}$ = 1.26 × 10⁷ square miles

Since, only the half of the area is clear to view.

So, the area left to view = $\frac{1.26\times 10^7}{2}$ = 6.3 × 10⁶ square miles.

Hence, the area of the moon in view is 6.3 × 10⁶ square miles.

8 0

4 years ago