Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Answer:
It’s 81862
Step-by-step explanation:
9514 1404 393
Answer:
b. They are at a speed of 30 mph when time begins.
Step-by-step explanation:
The y-axis represents time zero, when time begins. The curve intercepts the y-axis at y=30. Y-values on the graph represent speed in miles per hour (mph), so a y-value of 30 at the point on the y-axis represents ...
a speed of 30 mph when time begins
Answer:
D
Step-by-step explanation:
If we use the calculator will find out that x= √151/2 ≈ 6.1441
D. 6 < x < 7
x is less then 7 and greater than 6
Without the calculator you can think that 151 is almost 144 that is 12² so
we can approximate √151 to be a bit more then 12
√151/2 = a bit more then 12 /2 = 6 and a bit more
The given triangle is a right-angled triangle. This means that special trig identities can be applies
<u>These identities are as follows:</u>
sin (theta) = opposite / hypotenuse
cos (theta) = adjacent / hypotenuse
tan (theta) = opposite / adjacent
<u>Now, for the unknown theta in the triangle:</u>
The opposite side is 16 and the hypotenuse is 20
This means that we will use the <u>sin</u> not the cos as Bob did
<u>The solution will be as follows:</u>
sin (theta) = opposite / hypotenuse
sin (theta) = 16 / 20
theta = sin^-1(16/20)
theta = 53.13°
Hope this helps :)
