Answer:
The new dimensions of the field will be 44.8 feet by 19.6
Step-by-step explanation:
since the scale factor is 1.4, all the original dimensions are multiplied by 1.4
32 times 1.4 is 44.8 and 14 times 1.4 is 19.6
I'm guessing that you know about 45-45-90 and 30-60-90 triangles.
In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is
times the legs.
In 30-60-90 triangles, the legs are in a ratio of 1:
:2
In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9
because of the ratio of the sides of a 45-45-90 triangle.
The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is
: 2
We can create an equation to solve for x using these ratios:
= 
Cross multiply:
2x = 9
x = 
Option C
Answer:
Sin 90°=1
Step-by-step explanation:
A unit circle is a circle with a radius of 1 .Because the radius is 1, it is possible to directly measure the sine, cosine and tangent.
<em>using the unit circle where 90° is the limit as the hypotenuse approaches the vertical y-axis which is positive.</em>
Sine=opposite/hypotenuse
Sin=O/H
<u>Applying the limits</u>
Sine 90°=1/1= 1
cos 90° =0/1 =0
or
When the angle formed at the origin of the unit circle in the 1st quadrant is 0°, cos 0°=1 sin0°=0 and tan 0°=0
When we increase the angle until it is 90°, cos 90°=0, sin 90°=1 and tan 90°=undefined
Answer:
1.125,−1.125
Step-by-step explanation:
64x^2+10=91
64x^2+10−10=91−10
64x^2=81
64x^2
/64 = 81
/64
x^2=
81
/64
x=±√
81
/64
x=1.125,−1.125