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3 years ago

7

the formula for the area of a triangle is 1/2bh=A. Which of the not a first step to rearrange this formula to find to find the b

ase of the triangke?

1 answer:

Travka [436]3 years ago

5 0

Answer:

base=area=1/2b×h

Step-by-step explanation:

it's a pleasure to help you goodbye. if I'm wrong tell me right away.

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The diameter of a bacterium called Spiral is 0.000015 meter. What is this

enyata [817]

Hey there!

When we put a number in scientific notation, we want the first number to be at least 1 and less than 10. There must be a digit from 1-9 in the ones place.

With the number 0.000015, we can move the decimal place 5 places to the right and we have 1.5, which is more than one and less than ten.

Because we moved the decimal place 5 places to the right, 1.5 is multiplied by 10 to the power of -5.

The 5 is the number of places the decimal is moved, and the negative sign is because we moved it to the right.

10^(-5) is the same as 0.00001, just for context.

So, 0.000015 meters in scientific notation is 1.5 x 10^(5) meters.

Hope this helps!

5 0

3 years ago

Water use in the summer is normally distributed with a mean of 311.4 million gallons per day and a standard deviation of 40 mill

r-ruslan [8.4K]

Answer: 0.965

Step-by-step explanation:

Given : Water use in the summer is normally distributed with

$\mu=311.4\text{ million gallons per day}$

$\sigma=40 \text{ million gallons per day}$

Let X be the random variable that represents the quantity of water required on a particular day.

Z-score : $\dfrac{x-\mu}{\sigma}$

$\dfrac{350-311.4}{40}=0.965$

Now, the probability that a day requires more water than is stored in city reservoirs is given by:-

$P(x>350)=P(z>0.965)=1-P(z$

We can see that on comparing the above value to the given P(X > 350)= 1 - P(Z < b) , we get the value of b is 0.965.

4 0

3 years ago

How does the rate of change of f(x)=3x+5 compare to the rate of change of g(x)=2x+5 ?

elena55 [62]

Do you know how to do it on your calculator?

6 0

3 years ago

Your Roasted Snout dinner cost you $45.99. You will tip your server 15% of the bill. What is the TOTAL cost of your bill (includ

irina [24]

Answer:

Step-by-step explanation:

The basic cost of the Snout is 45.99

15% of that amount = 45.99*15/100 = <u> 6.90</u>

Total Cost 52.89

You could figure out the total cost a slightly different way.

You could set up

Cost = snout (1 + 15%)

Cost = snout(1 + 15/100)

Cost = snout( 1 + 0.15)

Cost = 45.99(1.15)

Cost = 52.89

4 0

2 years ago

Read 2 more answers

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

a = 10
b = 16
c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need $b^2 < a^2+c^2$ to be true in order for an acute triangle to happen.

So,

$b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5$

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

$c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\$

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0

3 years ago