2 years ago

Find the value of x in the triangle shown below. = २० 14 14 50° 18

Mathematics

1 answer:

Alexandra [31]2 years ago

5 0

Answer:

x = 87

Step-by-step explanation:

37 + 56 = 93

triangles always equal to 180

180 - 93 = 87

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A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco

Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

$\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60$

$dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2$

When t=60 seconds

$N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL$

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0

3 years ago

How can you determine the same price if you are given the regular price and a percent of markdown

OLEGan [10]

You can determine the actual markdown by changing the percentage to a decimal then multiplying it by the price to find your mark down.

4 0

3 years ago

Which values are solutions to the inequality below<br> Check all that apply

Andru [333]

I honestly don’t know

4 0

3 years ago

You went shopping and bought a bunch of snacks. You brought 3 bags of cheetos, 2 boxes of fruity pebbles, 4 bags of chocolate an

Elenna [48]

Answer:

4/10

Step-by-step explanation:

There are 10 items and 4 chocolates, therefore it is 4/10

5 0

3 years ago

How many times does 12 go into 80 the times you have done 12 into 80 is when you count to 12 or 80 or do 80 or 12 jumping jacts

JulijaS [17]

80÷12= 6 2/3

12×12×12×12×12×12=72

so 12 goes into 80 evenly 6 times, but there is a remainder so you have to include it

80-72=8
so that leaves you with 8/12 which is 2/3 when simplified

now you have 6 + 2/3 = 6 2/3

4 0

3 years ago