We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.
11.
Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.
tan B = b/a
b = a tan B = 65.7 tan 28.9° = 36.3 m
12.
Similar story, boat at B, opposite b=3.5 m, rope c=12 m
sin B = b/c
B = arcsin b/c = arcsin (3.5/12) = 17.0°
13.
c=124 m, A=58°
sin A = a/c
a = c sin A = 124 sin 58 = 105.2 m
14.
That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so
cos A = b/c
A = arccos b/c = arccos (1.8/2.8) = 50.0°
15.
Not a right triangle, an isosceles triangle. Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°. We're after d=2b:
sin B = b/c
b = c sin B
d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm
Almost equilateral
Answer:
Sequoia sold 2 chap sticks while Raven sold 4.
Step-by-step explanation:
Since two friends, Sequoia and Raven, sold organic chap sticks at the local market, and Sequoia sold her chap sticks for $ 4 and Raven sold hers for $ 3 each, and in the first hour, their total combined sales were $ 20, if in the first hour, the friends sold a total of 6 chap sticks between them, to determine the number of chap sticks each of the friends sold during this time the following calculation must be performed:
6 x 4 + 0 x 3 = 24
5 x 4 + 1 x 3 = 23
2 x 4 + 4 x 3 = 20
Therefore, Sequoia sold 2 chap sticks while Raven sold 4.
The sequence is being multiplied by three for ever term.
If you multiply 1 by 3, the result will be 3. Keep on multiplying each term by three and you'll find that the 10th term is 729
Answer:
70%.
Step-by-step explanation:
To convert the fraction 14/20 to a percentage we multiply by 100:
(14/20) * 100
= 1400/20
= 70%.
Answer: There will be approximately 860 frogs in 10 years.
Step-by-step explanation:
Since we have given that
Initial population of frogs =100
Rate of growth = 24%
Time taken = 10 years
We'll use the compound interest formula,
There will be approximately 860 frogs in 10 years.
