Answer:
132 ft squared
Step-by-step explanation:
One way is to divide the shape into a rectangle and a triangle, by drawing a vertical line.
This gives a rectangle that is 9 by 11, so has area 99.
The triangle has a base of 11 and height of 15 - 9 = 6.
So the area of the triangle = 1/2 x b x h = 1/2 x 11 x 6 = 33
So the total area is 99 + 33 = 132.
Answer:
4833 m
Step-by-step explanation:
Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m
We use Pythagoras Theorem to get this done
We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top
Using the sine angle rule, we have
Sine 47.3 = 4900 / h
h = 4900 / sin 47.3
h = 4900 / 0.7349
h = 6668 m
This means that she was 6668 m away from the top of the mountain
She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000
Using the same sine angle rule, we have
Sine 58.5 = o / 5668
o = 5668 * sine 58.5
o = 5668 * 0.8526
o = 4833 m
She is 4833 m above the sea level
Answer:
hcf=(1,605; 600) = 3 × 5
Step-by-step explanation:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
1,605 = 3 × 5 × 107;
1,605 is not a prime, is a composite number;
600 = 23 × 3 × 52;
600 is not a prime, is a composite number;
* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
Multiply all the common prime factors, by the lowest exponents (if any).
gcf, hcf, gcd (1,605; 600) = 3 × 5
gcf, hcf, gcd (1,605; 600) = 3 × 5 = 15;
The numbers have common prime factors.
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The best and most correct answer among the choices provided by your question is the fourth option or letter D. The expression that represents Graham's sales is 2a − 6. Twice the sales of Adrianne, deducted by 6 should be Graham's sales.
Hope this helps!
1. Arc KL = 23
2. Arc LON = 203
3. Arc OM = 113
4. Arc KNL = 180
5. 157
hope this helps !
