For this case we can model the problem as a rectangle triangle.
We know:
Angle between the base of the triangle and the hypotenuse
Length of the base of the triangle
We want to know:
Length of the hypotenuse.
For this we use the following trigonometric relationship:
Clearing h we have:
Answer:
the ladder is 30.9 feet long:
d) 30.9 ft
Answer:
C. 24.1 ft
Step-by-step explanation:
The side of the wall making the tilt of 75° will represent the hypotenuse
The height of the wall will be represented by the side opposite to the angle 75°
Apply the relationship for sine of angle Ф
Formula to use is ;
Sin Ф= length of opposite side÷hypotenuse
SinФ=O/H
Sin 75°=O/25
0.96592582628=O/25
O=0.96592582628×25 =24.1 ft
Answer:
Discount percentage = 10.5% (Approx)
Therefore the discount is seller offering you is 10.5 % .
Step-by-step explanation:
Discount = Marked price - Selling price
As given
You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95 .
Here
Marked price = $19.95
Selling price = $17.85
Discount = 19.95 - 17.85
= $2.1
Discount percentage = 10.5% (Approx)
Therefore the discount is seller offering you is 10.5 % .
Answer:
Step-by-step explanation:
The null hypothesis is
H0: μ = 32.6
The alternative hypothesis is
Ha: μ ≠ 32.6
The calculated test statistic is 2.66 for the right tail and - 2.66 for the left tail
Since the critical values for both tails is ± 2.145, we would compare the critical values with the test statistic values
In order to reject the null hypothesis, the test statistic must be smaller than - 2.145 or greater than 2.145
Since - 2.66 < - 2.145 and 2.66 > 2.145, we would reject the null hypothesis.
Therefore, Reject H0. There is sufficient evidence to support the claim that the mean is different from 32.6.
2) Test statistic: t = 2.66. Critical values: t = ±1.96
Since - 2.66 < - 1.96 and 2.66 > 1.96, we would reject the null hypothesis. Then
Reject H0. There is sufficient evidence to support the claim that the mean is different from 32.6.
Answer:
bro no one cares
Step-by-step explanation: