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Lilit [14]
3 years ago
7

A graph is constructed such that time (in seconds) is the X-variable and distance (in miles) is the Y-variable. If you plot the

distance that a space shuttle travels at a speed of 5 miles per second, what is the slope of the graph
Mathematics
1 answer:
boyakko [2]3 years ago
3 0
5/1 or 5 as slope is the rise or y, over the run or x
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A theatre has seats arranged in rows of 24, 382 people attend a show at the theatre. What is the smallest number of rows that is
kipiarov [429]

Answer:

A minimum of 16 rows are needed

Step-by-step explanation:

Here, we want to calculate the number of rows minimum that could seat 382 people in rows of 24 seats.

Mathematically, what we need to do here is to make a division.

We shall divide the number of people by the number of seats in a row so that we can get the number of rows needed.

Mathematically, that would be; 382/24 = 15 22/24

We are looking at a minimum number.

So we can see that 15 rows will be filled, with an extra 22 seats in the next row leaving only 2 seats in the next row unoccupied.

So we can see that the minimum number of rows required is 16 rows

3 0
3 years ago
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.
lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that \triangle NOP is an right angled triangle.

\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled \triangle, we know that:

tan \theta = \frac{Perpendicular}{Base}

Here, \theta is \angle N, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.

So, tan 59^\circ = \frac{OP}{PN}

\Rightarrow OP = PN \times tan59^\circ

Putting the values of <em>PN </em>and tan59^\circ.

OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft

Hence, the value of <em>OP </em>is 12.3\ feet.

8 0
3 years ago
Write the equation of the line in slope intercept form​
Neko [114]

Answer:

y= -3+2

Step-by-step explanation:

5 0
3 years ago
Help with math please ​
MA_775_DIABLO [31]

Answer:

B

Step-by-step explanation:

its kinda obvious

5 0
3 years ago
The length of a rectangle is 4 less than three times it’s width. The perimeter is 72 feet. Find the dimensions of a rectangle
ratelena [41]

Answer:

Step-by-step explanation:

so let’s say x is the length.  Then the width will be 3x-4.  You add them together and multiply by two.  The perimeter is 72 so the equation equala 72.

Equation:

(x+3x-4)*2=72

(4x-4)*2=72

8x-8=72

8x=80

x=10

length:10

width:26

6 0
3 years ago
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