MATHEMATICS HIGH SCHOOL

An angle of size 124 degrees has been rotated d degrees around a center 0 what is the size of the rotated angle?

Answers

Answer 1

Answer:

Answer:

124

Step-by-step explanation: Hope it helps

Answer 2

Answer:

Final answer:

No matter how much the angle is rotated around the center, the size of the angle remains the same. Therefore, even after the rotation, the size of the angle is still 124 degrees.

Explanation:

When an angle is rotated around a center, the size of the angle doesn't change.

It's an important characteristic of angle rotation. So, if an angle of 124 degrees is rotated d degrees around a center, the size of the rotated angle will still remain 124 degrees. It is just in its new position after rotation. Regardless of the rotation of the angle, its size or measure remains the same as the rotation does not affect the measure of the angle.

Learn more about Angle Rotation here:

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Kendra has a bowl containing 10 blue marbles, 15 yellow marbles, 5 green marbles, and red marbles of the same size. She will randomly put out a marble, keep it outside the bowl, then pull out another marble.What is the probability she will draw a red marble and then a yellow marble?

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Answers

The answer is 1/14.

There are in total 36 marbles:
10 blue + 15 yellow + 5 green + 6 red.

The probability to put out a red marble in the first draw is 6 out of 36 marbles because there are 6 red marbles of total 36:
P(r) = 6/36 = 1/6.

After that 1 red marble is outside the bowl, there are now 35 marbles in total.
The probability to put out a yellow marble in the second draw is 15 out of 35 because there are 15 yellow marbles of total 35 marbles:
P(y) = 15/35 = 3/7.

If we want both these events to occur (1. to draw the red marble and 2. to draw the yellow marble), we will use a multiplication rule. The multiplication rule calculates the probability that both of two events will occur:
P(r) × P(y) = 1/6 × 3/7 = 3/42 = 1/14.

Therefore, the probability Kendra will draw a red marble and then a yellow marble is 1/14.

Please help me with this

Answers

Seems like I've done a few of these already today.

a[1] = 4, d=6

Formula: a[n] = 4 + 6(n-1)

a[40]=4 + 6(39) = 238

Table: 4 10 16 22 28 34 ... a[40]=238

--------

a[23]=25, d=3

a[n] = a[1] + d(n-1)

25=a[23]=a[1] + 3(22)

a[1] = 25 - 66 = -41

Table: -41 -38 -35 -32 -29 -26

Let's check a[23]= -41 + 3(22)= 25, good

Formula: a[n] = -41 + 3(n-1)

In the addition problem below, different letters stand for different digits. What five-digit number does SERVE represent?V C R + V C C T = S E R V E

Answers

Answer:

Hi,

10390

Step-by-step explanation:

SERVE is 10390

943+9447=10390

Two numbers have these properties.Both numbers are greater than 8.
Their highest common factor (HCF) is 8.
Their lowest common multiple (LCM) is 80.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ...

Answers

Answer:

16 and 40

Step-by-step explanation:

Let the numbers be x and y

HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m

As per property of numbers, the product of numbers is equal to product of their LCM and HCF:

xy = HCF(x,y) × LCM(x,y)

Since LCM(x,y) = 80 we have:

8×80 = xy
8×80 = 8n×8m
10 = nm

Possible option:

n = 2, m = 5

Then the numbers are:

x = 2*8= 16
y = 5*8 = 40

What is the answer to -6+5b=6b-7

Answers

remember
ou can do anything to an equaiotn as long as you do it to both sides
try to isolate variable and get 1 of it

-6+5b=6b-7
subtract 5b from both sides
-6=b-7
add 7
1=b

5b-6=6b=6b-7-6b
-b-6= -7
-b-6+6= -7+6
-b= -1
-b/-1= -1/-1
b= 1

The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.

Answers

Answer:

x = 4 or x = 12

Step-by-step explanation:

Given:

y = -10x² + 160x - 430

When y = $50

50 = -10x² + 160x - 430

50 + 430 = -10x² + 160x

480 = -10x² + 160x

-10x² + 160x - 480 = 0

Divide through by -10

x² - 16x + 48 = 0

Solve the quadratic equation using factorization method

+48 = -12 × -4

-16 = -12 -4

Therefore,

-12 and -4 are both factors

x² - 16x + 48 = 0

(x - 4 )(x - 12 ) = 0

x - 4 = 0

x = 4

x - 12 = 0

x = 12

Answer:

Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).

Step-by-step explanation:

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