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LenKa [72]
3 years ago
5

The sum of two numbers is 38 and the difference is 10 what are the numbers

Mathematics
1 answer:
DENIUS [597]3 years ago
6 0
24 and 14
24 + 14 = 38 \\ 24 - 14 = 10
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A biologist wants to know the width w of a river in order to properly set instruments for studying the pollutants in the water.
belka [17]

Answer:   The river is 148.3 feet wide.

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The triangle formed is a right triangle.

Using SOH CAH TOA

tan 56 = \frac{x}{100}

Multiplying 100 in both sides

x = 100 \times tan56

x = 100 \times 1.4826

x = 148.26

Rounding to the one decimal place

x = 148.3

Hence river is 148.3 feet wide.   .............. Answer

Hope it will help :)

6 0
3 years ago
(x + 5) + (x² − 6x + 20)
ratelena [41]

Answer:

x^3-6x^2-10x+100

Step-by-step explanation:

Step 1: Distribute x to (x²-6x+20).

x(x²-6x+20)=x^3-6x^2+20x

Step 2: Distribute 5 to (x²-6x+20).

5(x² − 6x + 20)=5x²-30x+100

Step 3: Combine x^3-6x^2+20x and 5x²-30x+100.

x^3-6x^2-10x+100

hope it helps you <3

8 0
3 years ago
Emma used 1/7 of a liter of milk to make 1/3 of a jug of tea. How much milk, in liters, is required to fill the jug?
fiasKO [112]

Answer:

Step-by-step explanation:

Well....if 1/7 liters  of milk makes 1/6 of a jug

Then  six times this must be a full jug....so

6*(1/7)   =

6/7 liters of milk  required

i hope this helps you happy holidays let me know if you need more information

6 0
3 years ago
Read 2 more answers
Please helppp with this math question &lt;333
Naya [18.7K]

Answer:

The average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

Step-by-step explanation:

We are given the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1

We need to find average rate of change.

The formula used to find average rate of change is : Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}

We have b=-1 and a=-11

Finding g(b) = g(-1)

g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9

Finding g(a) = g(-11)

g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29

Finding average rate of change

Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1

So, the average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

5 0
3 years ago
Patricia annual Salary was 52,000. She earned a 6% raise what is her new salary
dolphi86 [110]

See picture for solution to your problem.

3 0
3 years ago
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