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2 years ago

The length and width of a rectangular frame is 15 inches and 8 inches.What is the length of the diagonal of this frame

Mathematics

1 answer:

anastassius [24]2 years ago

4 0

Answer:

The length of the diagonal of the frame equal 17 inches

Step-by-step explanation:

The diagonal dividing the rectangle as made the rectangle 2 triangles

So according to Pythagoras Theorem,

Hypothenus² = opposite² + adjacent²

The diagonal lent is the Hypothenus.

so the two other sides are taking as opposite and adjacent respectively

so taking h as hypothenus,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17

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The cost y to rent a tent is proportional to x days. if it costs $56 to rent a tent for 7 days what is the formula

Alona [7]

Probably y = 8x. 56 = 8(7), so that works. Without more data, I couldn't say if it could be something else, so that's what I go with.

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2 years ago

A cell phone provider offers a plan that costs $30 per month plus $0.10 per text message sent or received. A comparable plan c

mariarad [96]

300 messages would have to be sent or received in order for the plan to cost same each month.

Step-by-step explanation:

Given,

Cost per month = $30

Per text sent or received charges = $0.10

Let,

x be the number of texts sent or received.

A(x) = 0.10x+30

A comparable plan costs = $60 per month

Text messages are unlimited.

B(x) = 60

For the two plans to cost equal;

A(x) = B(x)

$0.10x+30=60\\0.10x=60-30\\0.10x=30$

Dividing both sides by 0.10

$\frac{0.10x}{0.10}=\frac{30}{0.10}\\x=300$

300 messages would have to be sent or received in order for the plan to cost same each month.

Keywords: function, addition

Learn more about functions at:

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3 years ago

Answer to this question?

Readme [11.4K]

A midsegment is given by the formula:
$\frac{x1+x2}{2} , \frac{y1+y2}{2}$

Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:

$\frac{-3+5}{2} , \frac{-1+3}{2}$
This gets us a midpoint coordinate of <span>(1,1)

</span>As for distance, it will be found by doing:
$\sqrt{(x2-x1)^2+(y2-y1)^2}$
We can do the following:

$\sqrt{(5-(-3))^2+(3-(-1))^2}$
$\sqrt{(8)^2+(4)^2}$
$\sqrt{64+16}$
This simplifies to $4 \sqrt{5}$

:)

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3 years ago

Read 2 more answers

Express y=3x+2 in general form

katrin [286]

General form of a linear equation is ax+by+c=0 where a,b, and c are three real numbers.

So, we can shift all the terms in one side of the equation. Hence, first step is to remove y from the left side. So, subtract y from each sides.

y-y=3x+2-y

0= 3x - y +2 (By simplifying)

So, the general form of the given equation is 3x-y+2=0.

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3 years ago

Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that

mojhsa [17]

6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

<h3>What is percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%.

Let's suppose x hours Zoey can expect from the tablet on a full battery charge.

The value of x can be calculated using:

x = (2×100)/33

x = 200/33

x = 6.06 ≈ 6 hours

Thus, 6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

Learn more about the percentage here:

brainly.com/question/8011401

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2 years ago