Answer:
1. 1072.6
2. 753.6
3. 194.2
4. 59.5
5. 4848.3
6. 1818.3
Step-by-step explanation:
We have to use the trigonometric functions sin, cos, and tan. Remember the mnemonic SOH-CAH-TOA when solving these problems. (sinθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent)
1. tan(40)=900/x
x=900/tan(40)
x=1072.6
2. tan(37)=x/1000
1000tan(37)=x
753.6=x
3. sin(18)=60/x
x=60/sin(18)
x=194.2
4. sin(48)=x/80
80sin(48)=x
59.5=x
5. tan(22)=x/12000
12000tan(22)=x
4848.3=x
6. tan(33)=x/2800
2800tan(33)=x
1818.3=x
Answer:
$51.75
Hope this helps!
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The area of the given figure is equal to the area of a rectangle with sides 5 feets by 6 feets less the area of four square cut-outs of side 1 feet.
Area of the rectangle = 5 x 6 = 30 square feets.
Area of the four square cut-outs = 4(1 x 1) = 4 x 1 = 4 square feet
Area of the given figure = 30 - 4 = 26 square feet.
Area of a triangle = 1/2 x base x height
i.e. 1/2 bh = 26
bh = 26 x 2 = 52
possible values of base and height = (1 and 52), (2 and 26), (4 and 13)
Answer:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078
Step-by-step explanation:
We are given the following in the question:
According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birth weight.
Sample size, n = 1200
p = 7.8% = 0.078
We have to carry a hypothesis test whether national percentage is higher than 7.8% or not.
Thus, we can design the null and the alternate hypothesis
Thus, the correct answer is:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078
Answer:
Step-by-step explanation:
<u>Given</u>
<u>We see J is between H and K, so </u>
- KH = HJ + JK
- 2x + 5 + 3x - 7 = 18
- 5x - 2 = 18
- 5x = 20
- x = 4
