Answer:
15.8 cm²
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the angle A. This can be obtained as follow:
B = 56°
C = 78°
A =?
A + B + C = 180 (Sum of the angle in triangle)
A + 56 + 78 = 180
A + 134 = 180
Collect like terms
A = 180 – 134
A = 46°
Next, we shall determine the value of b by using the sine rule. This can be obtained:
Side opposite angle C (c) = 7.2 cm
Angle C = 78°
Angle B = 56°
Side opposite angle B (b) =?
b/Sine B = c/sine C
b/Sine 56 = 7.2/Sine 78
Cross multiply
b × Sine 78 = 7.2 × Sine 56
Divide both side by Sine 78
b = 7.2 × Sine 56 / Sine 78
b = 6.1 cm
Finally, we shall determine the area of the triangle. This can be obtained as follow:
Side opposite angle C (c) = 7.2 cm
Side opposite angle B (b) = 6.1 cm
Angle A = 46°
Area (A) =?
A = ½bcSineA
A = ½ × 6.1 × 7.2 × Sine 46
A = 15.8 cm²
Therefore, the area of the triangle is 15.8 cm²
Hope this helps. Let me know if you have more questions.
1.)
The term (2+8) is the amount of fabric Ali bought. You know this because in the problem, it says that she buys “2 white pieces and 8 blue pieces”
2.)
The terms of the equation are
k and 2f
These are the terms because they are separated by the addition sign
3.) $36
You would first find rate per sand which. To find this, you would do:
9/2
This will give you
4.5. Now, you multiply that by 4. That gives you 36.
4.) The skateboard costs 150
How?
30 is 20% of the price. 20x5=100. So, to find the total amount, you would multiply 30 by 150.
5.) About 50 miles an hour.
You always put distance over time. If you do:
400/8
You get the average rate of 50
6.) 5n
How?
Well, there are five cents in every nickel. So, to find out how many pennies, you would multiply the amount of nickels by 5.
Have a good night :)
Answer is
= 1.24*5+1.1*2.20+4.5*0.68
= <u>11.68</u>
Answer: 339.29ft^3
Step-by-step explanation:
The formula for a cylinder is πr^2h
In your scenario, r=8 and h=3 so put those into the equation -
π8^2(3) and just solve!
