A) AB rotates clockwise to align with BC
= ABD + DBC
= 33.3° + 30.6°
= 63.9°
b) If E is positioned directly opposite C.
EBC forms a straight line, thus the angle sums to 180°
ABE + ABD + DBC = 180°
ABE + 33.3° + 30.6° = 180°
ABE + 63.9° = 180°
ABE = 180 - 63.1
ABE = 116.9°
Hope this clarifies things.
8.96 gallons of water
To solve this question, you multiply the ratio of the volumes of container b to container a by the volume of container a. As container b has a greater volume than container a, the ratio will be greater than 1. In this scenario, it is 112% since it includes a 12% increase: 100% + 12% = 112%. Consequently, the volume of container b is calculated as 112% x 8 gallons = 8.96 gallons.
Angles known as vertical angles are those that are located across from each other at a common vertex where two lines intersect.
In the illustration, there exists only one pair of vertical angles.
These are Angle TSW and Angle ISN, both converging at the vertex labeled S.
<span>Answer is: B. Angle ISN and Angle TSW.</span>
a) The hypothesis states that the mean is different from 0.5025 and has been rejected. b) The p-value computed is 0. c) A confidence interval is established as 0.50456 < u < 0.50464. The hypothesis testing is based on a given standard deviation (s.d.) of 0.0001, a sample mean of x = 0.5046 from a sample size of n = 25. The two-sided alternative and significance level of 0.05 were assumed. A Z-score was calculated to show that the hypothesis is rejected since the mean differs from 0.5025.
Answer:
The composite function;
f(g(x) = 2x^2 + 15
Step-by-step explanation:
Given f(x) = 2x + 1 and g(x) = x^2 + 7;
we are tasked with calculating f(g(x))
This represents a composite function where we substitute g(x) into f(x)
Consequently, we find
f(g(x)) = 2(x^2 + 7) + 1
f(g(x)) = 2x^2 + 14 + 1
f(g(x)) = 2x^2 + 15
