Answer:
See below
Step-by-step explanation:
<u>Finding a:</u>
Where θ = 45° , opposite = a, hyp = 4√2
<u>Finding c:</u>
Where θ = 45°, opposite = 4, adjacent = c
tan 45 = 4 / c
1 = 4 / c
Multiply both sides by c
c = 4
<u>Finding b:</u>
Where θ = 30°, opposite = a(4), hypotenuse = b
sin 30 = 4 / b
Cross Multiply
1 * b = 4 * 2
b = 8
<u>Finding d:</u>
Where θ = 30°, opposite = a(4) , adjacent = d
tan 30 = 4 / d
Cross Multiplying
1 * d = 4√3
Hope this helped!
<h3>~AH1807</h3>
For this case we have that if Molly spent all the spool ribbon with 12 people, then "r" would be given by the product of 12 for the amount of ribbon that each person received, that is:
Thus, the spool initially had 36 feet of ribbon.
If Molly also keeps 3 feet of ribbon, then the value of "r" is given by:
In this case, the ribbon spool initially had 39 feet of ribbon.
Answer:
shared between 12 people
shared between 12 people and Molly
A circular plot is watered by a sprinkler that rotates through it. The sprinkler only rotates through a semi-circle, or half of the whole circle.
Area of a circle: A = pi x r^2
r = 160 / 2 = 80
A = pi x 80^2
A = 6400pi / 2 = 3200pi
3200pi = 10053.0965
The area water is approximately 10,053 ft^2.
Hope this helps!! :)
Answer:
-2r^3+4r^2+12r-4
Step-by-step explanation:
6r^3-2r^2+12r-4-8r^3+6r^2
(6r^3-8r^3)+(-2r^2+6r^2)+12r-4
simplify
-2r^3+4r^3+12r-4
Answer:
92.6
Step-by-step explanation:\text{SOH-CAH-TOA}
SOH-CAH-TOA
\sin Q = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{x}{95}
sinQ=
hypotenuse
opposite
=
95
x
\sin 77=\frac{x}{95}
sin77=
95
x
95\sin 77=x
95sin77=x
Cross multiply.
x=92.5652\approx \mathbf{92.6}\text{ feet}
x=92.5652≈92.6 feet
Type into calculator and roundto the nearest tenth of a foot.
Q
R
S
92.6
95
(adjacent to ∠Q)
(opp. of ∠Q)
(hypotenuse)
77°