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Bingel [31]
2 years ago
15

Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He cove

red a distance of 250km during this time. Calculate his average speed between this time duration.
Mathematics
1 answer:
kodGreya [7K]2 years ago
6 0

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

⇒ Average speed = 100 km/h

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Applying the Procedure
Verizon [17]

Answer:

15 Square Inches

Step-by-step explanation:

Volume of the cone=40 cubic inches

Height of the cone=8 Inches

<u>Step 1:</u> Applying the formula for the volume of a cone

Volume of a Cone=\frac{1}{3}\pi r^2 h=\frac{1}{3} X $Base Area X Height

<u>Step 2:</u> Substituting values for the variables

40=\frac{1}{3} X $Base Area X 8

<u>Step 3:</u> Simplifying the right side

40=\frac{8}{3} X $Base Area

<u>Step 4:</u> Multiplying by the reciprocal

40X\frac{3}{8}=\frac{8}{3} X\frac{3}{8} X $Base Area\\

<u>Therefore, Base Area of the Cone=15 Square Inches</u>

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8 0
2 years ago
A tree in Kevin's backyard is 5/8 meters tall. It has been growing for 1 2/5 years. What is the unit rate in meters per year? No
irga5000 [103]

Answer:

o.4464287142 or 0.4

Step-by-step explanation:

The tree is 5/8 meters tall and that's in 1 2/5 years so you would divide them and you get .4464287142

6 0
2 years ago
Read 2 more answers
The GCF of two numbers is 850 neither number is divisible by the other what is the smallest these two numbers can be?
saul85 [17]
Began by dividing 850 by 1, then 2, then 3, and so on, and I made a list of the whole numbers.

They were 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, and 850

By inspection, the two smallest numbers which when multiplied together yielded 850 were 25 and 34.
5 0
2 years ago
Square root of 75 plus square root of 3
olya-2409 [2.1K]
Answer:
6√3

Explanation:
Before we begin, remember the following:
\sqrt{a*b} = \sqrt{a}  *  \sqrt{b}
m \sqrt{a} + n \sqrt{a}  = (m+n) \sqrt{a}

Now, for the given:
75 can be written as 25*3
This means that:
\sqrt{75} = \sqrt{25*3}
Applying the above concept, we can find that:
\sqrt{75} = \sqrt{25*3} = \sqrt{25}  *  \sqrt{3}
Now, we know that:
√25 = 5 (we ignored the negative value)

This means that:
√75 = 5√3

Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3

Hope this helps :)

8 0
2 years ago
Read 2 more answers
expression to approximate log a of x for all positive numbers a, b, and x, where a is not equal to 1 and b is not equal to one
amid [387]

Question:

Approximate log base b of x, log_b(x).

Of course x can't be negative, and b > 1.


Answer:

f(x) = (-1/x + 1) / (-1/b + 1)


Step-by-step explanation:

log(1) is zero for any base.

log is strictly increasing.

log_b(b) = 1

As x descends to zero, log(x) diverges to -infinity


Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.


Find a such that f(b) = 1

1 = f(b) = (-1/b + 1)/a

a = (-1/b + 1)


Substitute for a:

f(x) = (-1/x + 1) / (-1/b + 1)

f(1) = 0

f(b) = (-1/b + 1) / (-1/b + 1) = 1




7 0
2 years ago
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