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alina1380 [7]
3 years ago
7

A triangle has two side of length 3 and 7. The third side of this triangle must not be shorter than (blank) or longer than (blan

k)

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

The sum of two side lengths of a triangle must be greater than the length of the third.

So, if two side lengths are 3 and 7, the length of the third side must be less than 10 units.

However, it cannot be shorter than 4 units, as 3 + 4 = 7.

So your answer is: The third side of this triangle must not be shorter than 4 or longer than 10

Let me know if this helps!

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Find the circumference and area of a circle<br>with a radius of 5 feet.​
iVinArrow [24]

Circumference = 2(pi)r

Area = (pi)r^2

r = 5

5 * 2 = 10

Circumference = 10π

5 * 5 = 25

Area = 25π

Using 3.14 as pi substitute:

5 * 3.14 = 15.7

15.7 * 2 = 31.4

Circumference = 31.4

5 * 5 = 25

25 * 3.14 = 78.5

Area = 78.5

4 0
3 years ago
[tex]\frac{3}{8} of 10x
pentagon [3]

Answer: x = 3/80

Step-by-step explanation:

5 0
3 years ago
An article presents voltage measurements for a sample of 66 industrial networks in Estonia. Assume the rated voltage for these n
kramer

Answer:

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 232 V

Sample mean, \bar{x} = 231.5 V

Sample size, n = 66

Sample standard deviation, s = 2.19 V

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

H_{0}: \mu = 232\\H_A: \mu \neq 232

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} } Putting all the values, we have

t_{stat} = \displaystyle\frac{231.5- 232}{\frac{2.19}{\sqrt{66}} } = -1.8548

Now,

t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = \pm 1.9971

Since,              

|t_{stat}| > |t_{critical}|

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

4 0
3 years ago
The table below represents the velocity of a car as a function of time:
Naddik [55]
A)The y-intercept is 50 because when X=0, y=50. This shows that the car was moving at 50 mph as an initial speed.

B) in two hours (from 1 to 3) the speed increased by 4 miles per 2hours. (from 52 to 56). 4/2 = 2 mph, which is the average rate of change. This represents the amount of speed increased each hour.

C) y=2x+50, and y=60 in this case, so 60=2x+50
60=2x+50
-50 -50
-----------------
10=2x
5=x, so the domain is X<=5 (less than or equal to 5)
7 0
3 years ago
Read 2 more answers
A spider ate 25%25\% 25% 25, percent more bugs this month than last month. The spider ate 88 8 8 bugs last month. How many bugs
alekssr [168]

Answer:

10 bugs

Step-by-step explanation:

If last month the spider ate 8 bugs, and this month the spider ate 25% more bugs, we can calculate the amount of bugs the spider ate this month finding how much is 25% of 8 bugs, and them we sum this value to the 8 bugs it ate last month.

25% of 8 = 8 * 25 / 100 = 2

Now we know that the spider ate 2 more bugs, so the amount of bugs it ate this month is 8 + 2 = 10 bugs.

We can also solve this problem multiplying directly 8 by 1.25 (1.25 represents the 25% increase in the bug consumption):

8 * 1.25 = 10 bugs.

6 0
3 years ago
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