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RideAnS [48]
3 years ago
13

Which expression is equivalent to 2√98⋅√2? 4√98 784 14√2 28

Mathematics
2 answers:
kicyunya [14]3 years ago
7 0
<h2>Option D is the correct answer.</h2>

Step-by-step explanation:

We need to find 2\sqrt{98}\times \sqrt{2}

Solving we will get

              2\sqrt{98}\times \sqrt{2}=2\times \sqrt{2}\times \sqrt{49}\times \sqrt{2}\\\\2\sqrt{98}\times \sqrt{2}=2\times 2\times 7\\\\2\sqrt{98}\times \sqrt{2}=4\times 7\\\\2\sqrt{98}\times \sqrt{2}=28

Option D is the correct answer.

zhannawk [14.2K]3 years ago
3 0
I am not 100% sure this is right but I believe its 28:)
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A gift box’s rectangular base has a perimeter of 92 centimeters. The length of the base is one more than twice the base’s width.
kozerog [31]
Assume that the length of the rectangle is "l" and that the width is "w".

We are given that: 
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II

Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15

Substitute with w in equation I to get the length as follows:
l = 2w + 1 
l = 2(15) + 1
l = 30 + 1 = 31

Based on the above calculations:
length of base = 31 cm
width of base = 15 cm
3 0
3 years ago
Given the piecewise function shown below , select all of the statements that are true.
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Shown Where? You didnt add a picture of a graph
4 0
3 years ago
The bottom of a box is to be a rectangle with a perimeter of 36 CM. The Box must be 4 cm High. What is the maximum volume?
Amanda [17]

The maximum volume would be when the bottom of the box is a square.

The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.

Then to find volume multiply the length by the width by the height:

Volume = 9 x 9 x 4 = 324 cm^3

The answer would be a.

8 0
3 years ago
Read 2 more answers
Write an equation in the form y = mx + b that represents this line.
kondaur [170]

Answer:

Step-by-step explanation:

The form, y = mx + b is the slope intercept form of a straight line.

Where b = intercept

m = slope = (change in the value of y in the vertical axis) / (change in the value of x in the horizontal axis.

Slope = (y2 - y1)/(x2 - x1)

y2 represents final value of y = - 3

y1 represents initial value of y = 3

x2 represents final value of x = 3

x1 represents initial value of x = 0

Therefore,

slope = (- 3 - 3)/(3 - 0) = - 6/3 = - 2

To determine the intercept, we would substitute m = - 2, x = 3 and y = -3 into y = mx + b. It becomes

- 3 = - 2 × 3 + b = - 6 + b

b = - 3 + 6 = 3

The equation becomes

y = - 3x + 3

8 0
3 years ago
Mai biked 5 1/4 miles today, and Noah biked 2 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
OlgaM077 [116]

Answer:

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Step-by-step explanation:

Mai biked 5 1/4 miles today

So he biked, in miles:

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Noah biked 2 1/2 miles.

So, in miles, he biked:

2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}

How many times the length of Noah’s bike ride was Mai’s bike ride?

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\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

5 0
3 years ago
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