Answer:
b = 159 m
a = 103 m
angle B is 57 degrees
Step-by-step explanation:
Let’s start with getting the measure of angle B
Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle
So we have the measure of B as;
90-33 = 57 degrees
To get the value of a, we use the appropriate trigonometric ratio
a faces the angle 33, that makes it an opposite to that angle
190 faces the right angle and that makes it the hypotenuse
Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse
so, we have it that;
sine 33 = a/190
a = 190 * sine 33
a = 103 m
to get b, it is adjacent to the given angle
So with the hypotenuse, the ratio between it and the hypotenuse is the cosine
so;
cos 33 = b/190
b = 190 * cos 33
b = 159 m
Step-by-step explanation:
count the slope, 5 up in 2.5 horizontal steps, slope = 5/2.5 or 2
x intercept is on the graph, 2.5
y intercept is also on the graph, -5
Answer:
4
Step-by-step explanation:
I am not 100% sure but I really hope this helps you.
Elapsed time is 50 minutes
hope this helps (;
Answer:
5d+4
Step-by-step explanation:
Number of ticket sold by Daniel = d .... 1
If Sara sold 4 more tickets to the school play than the number Danielle sold, the total number sold by Sarah is expressed as d+4 .... 2
If Brett sold 3 times as many as Danielle sold, the amount sold by Brett is 3×d = 3d ..... 3
The number of tickets that the 3 students sold altogether can be gotten by adding equation 1, 2 and 3 together as shown;
d+(d+4)+3d
Collect like terms
= d+d+3d+4
= 2d+3d+4
= 5d+4
Hence the number of tickets that the 3 students sold altogether is represented as 5d+4
