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serg [7]
3 years ago
7

Given: QS bisects PQR

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0
Well a right triangle is made up of a 180 degree angle and take away 90 degrees because the right angle is already there so the answer is that PQR is a right triangle since the other two angles = 90 when added hope this helps i did alot of research:)
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The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial
GREYUIT [131]

Answer:

P(0) = 7,917

Step-by-step explanation:

The population of the community is given by the following formula:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial population and r is the growth rate.

The initial population P0 has doubled in 5 years.

This means that

P(5) = 2P(0)

Which lets us find r.

P(t) = P(0)(1+r)^{t}

2P(0) = P(0)(1+r)^{5}

(1+r)^{5} = 2

Applying the 5th root to both sides

1+r = 1.1487

r = 0.1487

So

P(t) = P(0)(1.1487)^{t}

Suppose it is known that the population is 12,000 after 3 years.

With this, we find P(0)

P(t) = P(0)(1.1487)^{t}

12000 = P(0)(1.1487)^{3}

1.5157P(0) = 12000

P(0) = \frac{12000}{1.5157}

P(0) = 7917

4 0
3 years ago
Multiply the sum of -13/8 and 5/12 by their difference.​
REY [17]

Answer:

1421/576

Step-by-step explanation:

Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24

Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24

Sum * Difference = (-29/24)*(-49/24) = 1421/576

6 0
2 years ago
A tree 7ft y’all grows an average 6 in each year which equation models the trees height h after x years
pentagon [3]

Answer:

h = 7 + 6x

Step-by-step explanation:

Since we are trying to find the height of the tree, we put h on the left side of the equation. Since the tree is 7ft tall at the moment, we write 7ft on the right side of the equation. Knowing that the tree grows 6 inches each year (x) we write 6x on the right side of the equation.

8 0
3 years ago
Read 2 more answers
If the 7th of an AP is equal to 11 times the 11th term, find the 18th term
Zina [86]

Answer:

-33 or 33

Step-by-step explanation:

The seventh term of an AP is written as:

a + 6d

The eleventh term of an AP is written as:

a + 10d

If the 7th term is 11 times the 11th term, then;

a + 6d = 11(a + 10d)

Expand to get:

a + 6d = 11a + 110d

11a - a = 6d - 110d

10a =  - 104d

\frac{a}{d}  = -   \frac{104}{10}

\frac{a}{d}  = -   \frac{52}{5}

We must have a=-52 and d=5

Or

a=52 and d=-5

For the first case, the 18th term is :

- 52 + 5 \times 17 = 33

For the second case,

52 - 5 \times17 =  - 33

3 0
3 years ago
War Eagle spied 1428 antelope and wildebeests grazing on the savannah. If the ratio of antelope to wildebeests was 9 to 5, how m
Nonamiya [84]

Answer:

9:5 = 1428:x

ratios can also be written as fractions, so

9/5 = 1428/x

solve for x

9/5 × x = 1428

x = 1428 / (9/5)

x = 918

4 0
3 years ago
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