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Dmitrij [34]
3 years ago
13

What is the slope of the line passing through the points (0,0),(1/3,7/3)?

Mathematics
1 answer:
umka21 [38]3 years ago
8 0
(0,0)(1/3,7/3)

slope = (7/3 - 0) / (1/3 - 0) = (7/3) / (1/3) = 7/3 * 3 = 21/3 = 7 <==
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The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?​
SashulF [63]

The correct anwer is False

Explanation

According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.

8 0
3 years ago
The ratio 20:40:100 in its simplest form.
Gala2k [10]

Answer:

1 : 2 : 5

Step-by-step explanation:

20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )

= 1 : 2 : 5

6 0
2 years ago
Given: ∆ABC, AC = 12,<br> AB = BC = 10<br> Find: m∠A, m∠C, m∠B
4vir4ik [10]

Answer:

  • m∠A ≈ 53.13°
  • m∠B ≈ 73.74°
  • m∠C ≈ 53.13°

Step-by-step explanation:

An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.

Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.

  m∠A = m∠C ≈ 53.13°

  m∠B ≈ 73.74°

_____

The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:

  Cos = Adjacent/Hypotenuse

If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.

A diagram does not have to be sophisticated to be useful.

3 0
3 years ago
If you are going somewhere that is 60 miles away and you're going 40 miles per hour the whole time how long will it take you to
Masja [62]
Velocity * time = distance

40 (miles / hour) * t (hours) = 60 (miles)

Take note how the units work. miles/hour * hours = miles. This is an indication that a formula we picked is correct.

Now, looking at our formula (and neglecting units at this point)

40t = 60
t = 60/40
<span>t = 1.5 hours</span>
5 0
3 years ago
Smith's apples weigh 4 oz each. how many apples are in 1 lb of apples
lutik1710 [3]
1 pound= 16 oz

16/4= 4 apples

Hope this helps!
4 0
3 years ago
Read 2 more answers
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