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4 years ago

NEED HELP please!!!!!!!!

Mathematics

2 answers:

Korolek [52]4 years ago

8 0

I believe the answer is the first one because angle I and m are parallel and are alternate interior angles.

Hope this helps and is correct :)

tino4ka555 [31]4 years ago

5 0

ALTERNATE INTERIOR ANGLES

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Rafi had a board that was 15 1/2 feet long. He cut three pieces off the board that are each 3 7/8 feet long. How much of the boa

sattari [20]

Answer:

Step-by-step explanation:

To answer this question, first we need to figure out how much of the board Rafi cut off.

To do this, we need to multiply the length of each piece by the number of pieces he cut off.

3 7/8 = 3.875

3.875 * 3 = 11.625

Now, because we knew Rafi cut off 11.625 feet off of the board, we just need to subtract this length from the length of the entire board to find the remaining length.

15 1/2 = 15.5

15.5 - 11.625 = 3.875

There is 3.875 feet or 3 7/8 of the board left.

7 0

2 years ago

The sum of two consecutive integers is at least 185. what is the smaller of the two integers? enter your answer in the box.

ss7ja [257]

Let us assume the first integer to be = x
Then
The second integer will be = x + 1
The sum of the two consecutive integers =185
Then
x + x + 1 = 185
2x + 1 = 185
2x = 184
x = 92
From the above deduction, we can easily conclude that the smallest of the two integers is 92. I hope that the answer has helped you.

4 0

3 years ago

Read 2 more answers

X∞n=0 (2 n + 1) x 2 n

Black_prince [1.1K]

Answer:3

If x=0 or x=1 it is trivial, so 0<x<1. Define a=1−x2, then 0<a<1.

Step-by-step explanation:

6 0

3 years ago

If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year? $

Fynjy0 [20]

Answer:

336

Step-by-step explanation:

The first year added $18 so just double the lat 2 digits

8 0

3 years ago

Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w

ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

Investment = $ 8000

No. of years = 15 years

Interest rate, i = 3.1 %

( compounded monthly )

Step:1

For for calculating future value with compound interest monthly,

$A = P (1 +\frac{r}{n})^{nt}$ .................(1)

Where,

A = Future amount

P = Initial investment

r = Rate of interest

n = Number of compounding in a year

t = Time period

Step:2

From given values,

P = $8000

r = 3.1%

t = 15 years

n = 12 ( for monthly)

Equation (1) becomes,

$A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}$

$= 8000 (1+0.002583)^{180}$

$= 8000(1.002583)^{180}$

$= 8000(1.591059)$

$=12728.48$

A = $ 12728.48

Result:

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

8 0

4 years ago