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andreyandreev [35.5K]
3 years ago
9

What is cos P?  Right triangle PQR with a short leg measuring 5, a long leg measuring 12, and the hypotenuse as 13

Mathematics
1 answer:
OLga [1]3 years ago
3 0
It depends how you name the sides of triangle.
Look at picture at the result.

cos\alpha=\frac{12}{13}\\
cos\beta=\frac{5}{13}

PS. Sorry for my terrible drawing but I did it as fast as possible :)

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Roger could fit seven action figures on each shelf in his room. His room has two shelves. How many action figures total could hi
Leno4ka [110]

If 7 action figures are on each shelf

Then

in 2 shelves, there are

2x7 = 14 figures

Answer is

shelves hold 14 figures

8 0
1 year ago
A cube has a volume of 1000 cubic feet. What us the edge length of the cube?
Ainat [17]
So volume of a cube=edge legnth cubed so take the cube root of 1000 and get 10
the side legnth is 10 feet
7 0
3 years ago
How many artists could be featured in the show?
EleoNora [17]
Well we're just looking at oil paintings so let's say each shows 2 paintings...

30/2 = 15

so at most- 15 artists
7 0
3 years ago
Read 2 more answers
A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter
nata0808 [166]

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

6 0
3 years ago
I got two more pls answer
polet [3.4K]

Answer:

33.) = 4

34.) = 2

35.) = 6

36.) = 6

37.) = 91

38.) = 35

39.) = 4

40.) = 28

41.) = 18

42.) = (-6)

Step-by-step explanation:

<h3>33.)</h3>

(10 + 6) ÷ [(9 – 5) × (5 – 4)²]

(16) ÷ (4) × (1)²

16/4 = 4

Thus, The answer is 4

<h3>34.)</h3>

(3² × 2) ÷ (5 + 8 – 5 + 1)

(9 × 2) ÷ (9)

18/9 = 2

Thus, The answer is 2

<h3>35.)</h3>

6² ÷ {2 + 5 – [9 – (6 + 2)]}

6² ÷ [2 + 5 – (9 – 8)]

36 ÷ [2 + 5 – (1)]

36 ÷ 7 – 1

36/6 = 6

Thus, The answer is 6

<h3>36.)</h3>

(3 × 3 × 2) ÷ (4 – 1)

18/3 = 6

Thus, The answer is 6

<h3>37.)</h3>

4 × 3 × 10 – 4² – (10 + 3)

120 – 16 – 13

120 – 29 = 91

Thus, The answer is 91

<h3>38.)</h3>

5 × [(22 – 1) × 2] ÷ (8 + 2 – 4)

5 × [(21) × 2] ÷ (6)

5 × 42 ÷ 6

5 × 7 = 35

Thus, The answer is 35

<h3>39.)</h3>

-2 × 4 ÷ [2 + (-4) – (-4)] – 4

-8 ÷ (2 – 4 + 4) – 4

-8 ÷ 2 – 4

-8/-2 = 8/2 = 4

Thus, The answer is 4

<h3>40.)</h3>

-4(-1 + 2) × 4 – 2 + (-1)

-4 × (1) × 4 – 2 – 1

(-4) × (-7) = 28

Thus, The answer is 28

<h3>41.)</h3>

-3 – (-3 × 3) + 6 × 2

-3 – (-9) + 12

-3 + 9 + 12

6 + 12 = 18

Thus, The answer is 18

<h3>42.)</h3>

6 – {3² + [3 × (-1)²]}

6 – [9 + (3 × 1)]

6 – (9 + 3)

6 – 12 = -6

Thus, The answer is (-6)

<u>-TheUnknownScientist 72</u>

7 0
2 years ago
Read 2 more answers
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