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Firlakuza [10]
3 years ago
7

When you are given integers between 1000 and 2000, How many of them have both 15, 20 and 25 as factors?

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

Three integers: 1200, 1500, and 1800.

Step-by-step explanation:

Hope this helped!

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In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.
Neporo4naja [7]

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

4 0
3 years ago
Someone please help ASAP will give brainliest
Nimfa-mama [501]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

You need to find "m" and "b".


If you look at the graph, when x = 0, y is 1, so the y-intercept is 1.

y = mx + 1

To find "m", you can use the slope formula and find two points on the graph and plug it in, or you can use this:

slope=\frac{rise}{run}

Rise is the number of units you go up(+) or down(-)

Run is the number of units you go to the right.


If you look at the graph, from each point you go up 1 unit, and to the right 1 unit. So your slope is \frac{1}{1} or 1


y = 1x + 1

y = x + 1

4 0
3 years ago
Read 2 more answers
If Ill m, solve for x.<br> (9x+2)<br> 119°<br> x =
Sav [38]

Answer:

x=13

Step-by-step explanation:

119-2=117

117÷9=13

9×13+2=119

3 0
2 years ago
The director of the library calculates that 29% of the library's collection is checked out. If the director is right, what is th
marusya05 [52]

Answer:

The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.

Step-by-step explanation:

The population's proportion is \pi=0.29

If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

\sigma_M=\sqrt{\frac{\pi(1-\pi)}{n}}=\sqrt{\frac{0.29*0.71}{412}}=\sqrt{0.0005} =0.0224

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

z_1=(0.25-0.29)/0.0224=-0.04/0.0224=-1.7857\\\\z_2=1.7857\\\\\\P(0.25

8 0
3 years ago
What is the length of a rectangle with an area of 48 yd squared, and a width of 3 yd
Leona [35]
The length of the rectangle is 16.
7 0
3 years ago
Read 2 more answers
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