Answer:
13.5
18.1
72.2
12.8
6,2
66.1
49.1
14
31.8
Step-by-step explanation:
In solving this question, remember the annotation SOHCAHTOA
1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value
Cos 26 = Adjacent / hypotenuse
cos 26 = x / 15
x / 15 =0.8988
x = 15 x 0.8988 = 13.5
2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value
Sin = opposite / hypotenuse
sin 49 = x / 24
0.7547 = x / 24
x = 0.7547 x 24
x = 18.1
3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value
Tan = opposite / adjacent
tan 14 = 18 /x
18 / 0.2493 = 72.2
4. We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value
cos 67 = opposite / hypotenuse
0.3907 = 5/x
x =5/ 0.3907 = 12.8
to determine the missing angle
7. tan^-1 = opposite / adjacent
8. cos^-1 = adjacent / hypotenuse
9 = sin^-1 = opposite / hyotensue
Answer:
3,6
Step-by-step explanation:
x+y=9
x-y=-3
Adding these two equations we get 2x = 6, x=3
y=6
Answer:
width = 40 feet, length = 90 feet
Step-by-step explanation:
length = 2w + 10
width = w
Perimeter = 260
Perimeter of rectangle = 2length + 2width
Sub the values into that equation:
260 = 2(2w + 10) + 2(w)
260 = 4w + 20 + 2w
260 = 6w + 20
260 - 20 = 6w
240 = 6w
w = 240/6
w = 40
So now we know the width of the garden is 40 feet.
To find the length, substitute the width into the length equation:
length = 2w + 10
length = 2(40) + 10
length = 90 feet
length = 90 feet, width = 40 feet
Answer:
what's 2+2?
a. fish
b.3
c.4
d.6,472
Im just giving away points to anyone who needs some.
c.4
X = large boxes and y = small boxes
x + y = 70.....x = 70 - y
60x + 65y = 4300
60(70 - y) + 65y = 4300
4200 - 60y + 65y = 4300
5y = 4300 - 4200
5y = 100
y = 100/5
y = 20 <=== the small boxes weigh 20 lbs
x + y = 70
x + 20 = 70
x = 70 - 20
x = 50 <== and the large boxes weigh 50 lbs
