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creativ13 [48]
2 years ago
15

What can you say about the relationship between M and P? Which letter is the correct answer?

Mathematics
1 answer:
Colt1911 [192]2 years ago
8 0

Answer:

C. P=10M

Step-by-step explanation:

As the base of this function is 10, P must be 10 times as great as M in order for the logarithm to be 1 greater.

This means that C. P=10M is the answer

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I'll mark as brainliest if it lets me;-;<br>please answer B. &amp; C. with solution:)​
san4es73 [151]

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

radius \: \overline {OR} \perp chord \: \overline {AB} at C. (given)

\therefore AC = BC (perpendicular dropped from the center of the circle to the chord bisects the chord)

\therefore 2x - 6 = x + 8

\therefore 2x - x= 6 + 8

\therefore x= 14

AC = 2x-6=2(14)-6=28-6= 22

BC= x + 8=14 + 8= 22

AB = AC + BC = 22 + 22 = 44

C.

radius \: \overline {OR} \perp chord \: \overline {AB} at C. (given)

\therefore BC = AC (perpendicular dropped from the center of the circle to the chord bisects the chord)

\therefore 7x-5=4x+10

\therefore 7x - 4x= 5 + 10

\therefore 3x= 15

\therefore x= \frac{15}{3}

\therefore x= 5

AC = 4x+10=4(5)+10=20+10= 30

BC= 7x - 5=7(5)-5=35-5= 30

AB = AC + BC = 30 + 30 = 60

7 0
2 years ago
The total surface area of this cuboid is 112cm^2. Find the value of x.
Oxana [17]

Answer:

The value of x is 3

Step-by-step explanation:

Let us study the face of the cuboind

∵ The cuboid has 6 rectangular faces

∵ Each opposite faces area equal in areas

∴ 2 faces of dimensions 10 cm and 2 cm

∴ 2 faces of dimensions 10 cm and x cm

∴ 2 faces of dimensions 2 cm and x cm

∵ The total surface area of the cuboid is the sum of the areas of the 6 faces

∵ The area of the rectangle = length × width

∴ The total surface area = 2(10 × 2) + 2(10 × x) + 2(2 × x)

∴ The total surface area = 2(20) + 2(10x) + 2(2x)

∴ The total surface area = 40 + 20x + 4x

→ Add the like terms 20x and 4x

∴ The total surface area = 40 + 24x

∵ The total surface area of this cuboid is 112 cm²

→ Equate the two sides of the total surface area

∴ 40 + 24x = 112

→ Subtract 40 from both sides

∵ 40 - 40 + 24x = 112 - 40

∴ 24x = 72

→ Divide both sides by 24

∴ x = 3

∴ The value of x is 3

7 0
2 years ago
Read 2 more answers
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
polet [3.4K]

Answer:

I think it would be 9 meters.

Step-by-step explanation:

5x2=10

28-10=18

18(divided by)2=9 meters

3 0
2 years ago
Read 2 more answers
As part of a board game, players choose 5 unique symbols from 9 different symbols to create their secret password. How many diff
frozen [14]

Answer:

15,120

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of 9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120} permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.

8 0
3 years ago
Read 2 more answers
What is the speed of a car traveling north, 100 meters in 25 seconds?
Marat540 [252]

using the conversion factor the speed of the car is 44.74 miles/hr

6 0
3 years ago
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