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jek_recluse [69]
3 years ago
10

What are the coordinates?

Mathematics
1 answer:
Soloha48 [4]3 years ago
6 0
P' (-5,5), q' (10,5), r' (5,-15), s' (-10,-15) are the final coordinates.
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A number is chosen at random from the first 100 positive integers. Find the probability that the number is divisible by 5. 1/10
rosijanka [135]
The number of multiples of 5 from 1 to 100 is:

1≤5n≤100

1/5≤n≤20, since n must be an integer

1≤n≤20

So the multiples of five number 20-1+1=20 elements, and the probability of choosing one of the multiples from the first 100 positive integers is:

P(5n)=20/100=1/5
3 0
4 years ago
When it was 70 degrees outside, 50 members showed up at the beach club. for each degree temperature rose, another 10 members cam
stellarik [79]

Answer:

f(t)=50+10(t-70)

Step-by-step explanation:

Let the outside temperature be t degree.

So, when t=70 degree, number of members, f(t)=50

Now, for every degree rise in temperature, 10 members gets added.

So, when the temperature is t degrees, rise in temperature is (t-70) degrees.

Therefore,

For (t-70) degrees rise, number of members added = 10(t-70)

Hence, total number of members added as a function of temperature is given as the sum of members at t= 70 degrees and for (t-70) degrees rise. This gives,

f(t)=50+10(t-70)

8 0
3 years ago
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
PolarNik [594]

Answer:

JL ≈ 32  

Step-by-step explanation:

The triangle JKL  has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.

Let us find side the angle J first from the  triangle JKM. Angle JMN is 90°(angle on a straight line).

using the cosine ratio

cos J = adjacent/hypotenuse

cos J = 18/24

cos J = 0.75

J = cos⁻¹ 0.75

J = 41.4096221093

J ≈ 41.41°

Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore,  180 - 41.41 - 90 = 48.59

Angle L = 48.59 °.

Using sine ratio

sin 48.59 ° = opposite/hypotenuse

sin 48.59 ° = 24/JL

cross multiply

JL sin 48.59 ° = 24

divide both sides by sin 48.59 °

JL = 24/sin 48.59 °

JL = 24/0.74999563751

JL = 32.0001861339

JL ≈ 32  

8 0
3 years ago
?Write and evaluate the following algebraic expression when the product of 24 and a number Which is the correct expression and p
lara31 [8.8K]

Answer:

24x

Step-by-step explanation:

The product of 24 and a number means that 24 is multiplied by some number. When we use the term "some number" in math, we often use "x" as a representation of that number.

5 0
4 years ago
in a group of 120 people,90 of them are 30 years old or older. Everyone else in the group is younger than 20 years old. If a per
Ksju [112]
36% chance of the person being less than 20 years okd
3 0
3 years ago
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