Answer:
C. 19.4
Step-by-step explanation:
c=a2+b2−−−−−−√
a=162+112−−−−−−−−√
c=256+121−−−−−−−−√
c=377−−−√
c=19.4165
There is 140% increase.
Step-by-step explanation:
Given,
10 gallons to 24 gallons
Old value = 10 gallons
New value = 24 gallons
Change = New value - Old value
Change = 24 - 10 = +14
The positive sign indicates the increase.
Percent increase = 
Percent increase = 
Percent increase = 140%
There is 140% increase.
Keywords: percentage, increase
Learn more about percentages at:
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In quadrant #1:
When sin (x) = 1/2
cos(x) = sqrt(3)/2
Tan(x) = sqrt(3)/3
In quadrant #2:
Cos -
Sin +
Tan -
Answer:
Step-by-step explanation:
Refer to attached picture
At midday the shaded area is going to be under the umbrella only, therefore the option moving the table under the umbrella will be the answer.
<u>So the options:</u>
Option A: Rotate the picnic table 90° clockwise about the point (5, 0)
- No. The table has dimensions of 4x3, after this rotation the distance between the umbrella and the table will be zero but the table won't go under the umbrella.
Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.
- No. The movement will bring the umbrella down by one feet and no intersections.
Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.
- Yes. By moving the umbrella down by 3 feet and to the left by 2 feet, it will cover some part of the table. The lowest point of the umbrella will have the coordinate of (5, 1). So this is the correct option
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first establish the simple interest formula which we will require to solve this problem as displayed below:
Simple Interest = Principal × Rate of Interest × No. of Time Periods
I = PRN
Now let's substitute the values from the problem into this formula and solve as displayed below:
I = $15
P = $150
R = ?
N = 2 years
I = PRN
15 = 150 × R / 100 × 2
R / 100 = 15 / ( 150 × 2 )
R / 100 = 15 / 300
R = 5 / 100 × 100
R = 5%
ANSWER:
The simple annual interest rate for the loan is 5%. Therefore, the answer is:
B ) 5.0%
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