Answer:
x = 16
Step-by-step explanation
Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.
Hence 2x+13 = 3x-3
Collect like terms
2x-3x = -3-13
-x = -16
Multiply both sides by -1
-1(-x) = -1(-16)
x = 16
Hence the value of x is 16
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
60 seconds x 60 minutes = 3,600 seconds per hour
3,600 seconds per hour x 24 hours = 86,400 seconds per day.
The light flashes 5 times every 10 seconds:
5 flashes / 10 seconds = 1 flash every 2 seconds
86,400 seconds / 2 seconds = 43,200 flashes per day.
Once you remember the definition of a log, the answer to this question will literally fall out of your pencil.
First, ' Ln ' means 'natural log' ... logs to the base of ' e '.
Definition of the natural log of a number:
In order to get the number, what power do I have to raise ' e ' to ?
OK. What power do you have to raise ' e ' to in order to get 1/e² ?
Isn't 1/e² the same thing as e⁻² ?
So, in order to get 1/e² , you have to raise ' e ' to the -2 power .
In math-speak: Ln(1/e²) = <em><u>-2</u></em> .
Hello!
Question 1
We first have to convert everything to yards since the concrete is charged by the cubic yards
15 feet = 5 yards
15 feet = 5 yards
3 inches = 0.08333
Multiply these to find the volume
5 * 5 * 0.08333 = 2.08325
Multiply this by the cost
2.08325 * 46 = 95.83
The answer is C) $95.83
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Question 2
You have to find the volume of the first pyramid
The equation we use is
V is volume
l is length
w is width
h is height
Put in the values we know
Multiply
Divide
V = 2389.3333
Now we use this to find the side length of the second pyramid
Multiply both sides by 3
<span>7167.999 = lw * 112
</span>
Divide both sides by 112
63.9999 = lw
Since it is a square pyramid we know that sides are equal
63.999 = l^2
Take the square root of both sides
8 = l
The answer is B) 8in
Hope this helps!
Answer:
(-5, 3)
Step-by-step explanation:
B = 2M - A
B = 2(-2, 5) -(1, 7) = (-4-1, 10-7) = (-5, 3)
