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2 years ago

Find mPRT. P 649U 42° R s

Mathematics

1 answer:

Mkey [24]2 years ago

3 0

Answer: 296 degrees

Step-by-step explanation:

Arc PRT is just the entire circumference - arc PT.

Since the 64 degree angle is a central angle, arc PT measures 64 degrees.

So arc PRT = 360 degree - 64 degree = 296 degrees.

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In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous ro

Juli2301 [7.4K]

Answer:

$p = 25(3)^n$

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

$(n_1,p_1) = (0,25)$

$(n_2,p_2) = (1,75)$

$(n_2,p_2) = (3,225)$

The above shows a geometric progression.

So, we solve using

$p = ab^n$

In $(n_1,p_1) = (0,25)$

n = 0 and p = 25

Substitute these values in $p = ab^n$

$25 = ab^0$

$25 = a*1$

$25 = a$

$a = 25$

In $(n_2,p_2) = (1,75)$

n = 1 and p = 75

Substitute these values in $p = ab^n$

$75 = ab^1$

$75 = ab$

Substitute 25 for a

$75 = 25*b$

Make b the subject

$b = \frac{75}{25}$

$b = 3$

So, we have:

$a = 25$ and $b = 3$

The equation $p = ab^n$ becomes

$p = 25(3)^n$

5 0

3 years ago

28=−4x+5−x−2<br> what is X?

goblinko [34]

Answer:

X= -5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

There is a surplus of office space in a city if 400,000 sq ft or 16% of the total office space vacant how much office space dis

solniwko [45]

16% of the total office space is 400,000
0.16x = 400,000
x = 400,000 / 0.16
x = 2,500,000 sq ft <== total office space

5 0

3 years ago

Use a Venn diagram to answer the question. A survey of 180 families showed that 67 had a dog; 52 had a cat; 22 had a dog and a

Mice21 [21]

Answer:

There are 13 families had a parakeet only

Step-by-step explanation:

* Lets explain the problem

- There are 180 families

- 67 families had a dog

- 52 families had a cat

- 22 families had a dog and a cat

- 70 had neither a cat nor a dog, and in addition did not have a

parakeet

- 4 had a cat, a dog, and a parakeet (4 is a part of 22 and 22 is a part

of 67 and 520

* We will explain the Venn-diagram

- A rectangle represent the total of the families

- Three intersected circles:

C represented the cat

D represented the dog

P represented the parakeet

- The common part of the three circle had 4 families

- The common part between the circle of the cat and the circle of the

dog only had 22 - 4 = 18 families

- The common part between the circle of the dog and the circle of the

parakeet only had a families

- The common part between the circle of the cat and the circle of the

parakeet only had b families

- The non-intersected part of the circle of the dog had 67 - 22 - a =

45 - a families

had dogs only

- The non-intersected part of the circle of the cat had 52 - 22 - b =

30 - b families

had cats only

- The non-intersected part of the circle of the parakeet had c families

had parakeets only

- The part out side the circles and inside the triangle has 70 families

- Look to the attached graph for more under stand

∵ The total of the families is 180

∴ The sum of all steps above is 180

∴ 45 - a + 18 + 4 + 30 - b + b + c + a + 70 = 180 ⇒ simplify

- (-a) will cancel (a) and (-b) will cancel (b)

∴ (45 + 18 + 4 + 30 + 70) + (-a + a) + (-b + b) + c = 180

∴ 167 + c = 180 ⇒ subtract 167 from both sides

∴ c = 180 - 167 = 13 families

* There are 13 families had a parakeet only

5 0

3 years ago

What is the measure of segment MC?

Kryger [21]

Answer: 6

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers