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sergiy2304 [10]
3 years ago
12

What is the length of the diagonal d, of the rectangular prism shown below? Round to nearest tenth

Mathematics
1 answer:
babymother [125]3 years ago
3 0

Answer:

5

Step-by-step explanation:

The diagonal is the length which is 5

solution

5 to the nearest tenth is 6

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What is the equation of the line that passes through the point (3,2) and has a slope of -5/3?
Pani-rosa [81]
Answer= Y=-5/3x+7

First substitute (3,2) into the equation y=-5/3x +b which gives you 2=-5/3x+b. Solve for b, then put the equation into slope-intercept form.
8 0
3 years ago
The ratio of the lengths of the two legs of a right triangle is 3:4
Snowcat [4.5K]

<em>Greetings from Brasil... </em>

Check Attachment!!!

According to the statement of the question, we have:

a/b = 3/4

<em>Note that according to the attached figure, </em><em>b > a</em><em>, then the correct proportion will be </em><em>a</em><em> to </em><em>3</em><em>, as well as </em><em>b</em><em> to </em><em>4</em><em>, because </em><em>b > a</em><em> and </em><em>4 > 3</em>

Isolating a and b:

a = 3b/4

b = 4a/3

From Pythagoras:

h² = a² + b² - as a = 3b/4 and b = 4a/3, so

<h3>b = 4h/5</h3><h3>a = 6h/5</h3>

For Area:

A = b.a/2

as b = 4h/5 and a = 6h/5, so

<h3>A = 12h/25</h3>

4 0
2 years ago
Set of multiples of 3 less than 15?​
geniusboy [140]

Answer:

3,6,9,12,15

Step-by-step explanation:

5 0
2 years ago
Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 2x + 5.
ipn [44]

Answer:

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

Step-by-step explanation:

The east edge cannot intersect with the west edge means that two lines are parallel.

If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.

Slope of west edge.

y = 2x + 5

The standard equation for slope intercept form is:

y = mx+b

where m is the slope. So, m= 2

Now finding line for east edge.

Option 1.

Convert each given equation to standard slope intercept form and find the slope.

2x -y =96

-y = -2x +96

Multiply with -1

y = 2x -96

m = 2

Option 2.

-2x -y = 96

-y = 2x +96

y = -2x-96

m = -2

Option 3

-y-2x =48

-y = 2x +48

y = -2x -48

m = -2

Option 4.

y+2x = 48

y = -2x+48

m = -2

So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

7 0
3 years ago
Write the linear equation in slope-intercept form.<br><br> -6x + y = 19
Aleonysh [2.5K]
Your answer would be y= 6x + 19


You get rid of the variable on the left side by adding it to both sides giving you y = 6x + 19
Hope it helps
6 0
3 years ago
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