MATHEMATICS HIGH SCHOOL

What is the value of y so that the ordered pair (5, y) is a solution to the equation –5x + y = –40?A.
–65

B.
9

C.
–15

D.
7

Answers

Answer 1
Answer: -5x + y = -40\n\nx=5\n\n-5(5)+y=-40\n-25+y=-40\ny-25 = -40\ny -25+ 25 = -40+25\ny = -40+25\n\n\boxed{\bf{y=-15}}

Answer is C.

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A rectangle and a triangle with the same base and height have the same area. a. True
b. False

Answers

the answer is false because if you attach to triangles together in a way so that the figure would have 4 straight lines, you will get a rectangle. that means half of a rectangle is a triangle, so the area of both cannot be the same even if they have the same base and height.


for example the base and height of both is 3cm and 5cm.

area of the rectangle then would be,
area= base× height
=3cm×5cm=15cmsquared

then the area of the triangle would be,
area= base×height divided by 2
=3cm×5cm÷2= 7.5cm

so your answer is false
hope this helps....

Answer:

The Answer is False

The radius of a circle is 10 feet. What is the length of a 46 degree arc?

Answers

Answer:

12.82 feet

Step-by-step explanation:

To find the length of a 46-degree arc of a circle with a radius of 10 feet, you can use the formula for finding the length of a circular arc:

Arc Length = (θ/360) * 2πr

Where:

θ is the central angle in degrees.

r is the radius of the circle.

In this case, θ = 46 degrees and r = 10 feet. Plug these values into the formula:

Arc Length = (46/360) * 2π * 10

Arc Length = (23/180) * π * 10

Arc Length ≈ 12.82 feet

So, the length of a 46-degree arc of a circle with a radius of 10 feet is approximately 12.82 feet.

Find the area if a rectangle with a length of x+1 and a width of x+3

Answers

You multiply x times x
=x
1 x 3
=3
It is x+3

The amount of money in an account with continuously compounded interest is given by the formula A=Pe^rt, where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hunderdth of a year how long it takes for an amount of the money to double if the interest is compounded continuously at 6.2 %. Round to the nearest tenth

Answers

2p=pe^0.062t
2=e^0.062t
0.062t = ln2
t = 11.2 years

Twins Lidia and Henry collected snow globes. When they left for college, they split the collection, such that Lidia got 75% of the snow globes. If Lidia got 460 more snow globes than did Henry, how many snow globes did Henry get?

Answers

Answer:

230

Step-by-step explanation:

Okay, so if Lidia got 75% means that Henry got 25%, right?

Then Lidia got 50% more than Henry did. So that 460 = 50%

So Henry got 25% which is 460/2 = 230 snow globes

Which irrational number can be multiplied by - 41 to get a product that equals 1?200
SSG

Answers

Answer:

- (1/41)

Step-by-step explanation:

1/41 * 41 = 1, so you just need to multiply this equation by -1 to find the answer.
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