Answer:
101.58 in
Step-by-step explanation:
The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.
The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.
Using the sine ratio in the right triangle, then
sin16° = = ( multiply both sides by r )
r × sin16° = 28 ( divide both sides by sin16° )
r = ≈ 101.58 in
The answer is B. Put it least to greatest = 0.6, 0.87, 0.87, 1.1, 1.23, 2. Then you take the two middle number, 1.1 and 0.87, and add them. You get 1.97. Then you divide 1.97 by 2. Which equals 0.985
Hope I helped!! :))
Answer:
Option D. m<A = 43, m<B = 55, a = 20
Step-by-step explanation:
1. Determination of angle B.
Angle C = 82
Opposite C (c) = 29
Opposite B (b) = 24
Angle B =?
Using Sine rule, we can obtain the value of angle B as follow:
b/Sine B= c/Sine C
24/Sine B = 29/Sine 82
Cross multiply
29 × Sine B = 24 × Sine 82
Divide both side by 29
Sine B = (24 × Sine 82) /29
Sine B = 0.8195
Take the inverse of Sine.
B = Sine¯¹ (0.8195)
B = 55
2. Determination of angle A.
Angle C = 82
Angle B = 55
Angle A =?
The value of angle A can be obtained as follow:
A + B + C = 180 (sum of angle in a triangle)
A + 55 + 82 = 180
A + 137 = 180
Collect like terms
A = 180 – 137
A = 43
3. Determination of side a (Opposite A)
Angle C = 82
Opposite C (c) = 29
Angle A = 43
Opposite A (a) =?
The value 'a' can be obtained as by using sine rule as illustrated below:
a/Sine A = c/Sine C
a/Sine 43 = 29/Sine 82
Cross multiply
a × Sine 82 = 29 × Sine 43
Divide both side by Sine 82
a = (29 × Sine 43) /Sine 82
a = 20
Therefore,
m<A = 43, m<B = 55, a = 20
Answer:
4:3
Step-by-step explanation:
For every £1.00 a company spends on advertising, it spends £0.75 on its website.
From the above question:
The ratio is given as:
Amount spent on advertising : Amount spent on website
= £1.00 : £0.75
Convert ratio sign to division
= 1/0.75
Multiply Numerator and Denominator by 100
= 1 × 100 / 0.75 × 100
= 100/75
= 4/3
= 4 : 3
Therefore, the ratio in its simplest form = 4:3
Answer:
2x²-2x+5y doing the math reply if you need explanations