Answer:
109.5; B
Step-by-step explanation:
From your identity,
CosA = adjacent/ hypothenus
A represent an arbitrary angle between the sides in question.
In the question above, A=64
Hypothenus is the longest side and adjacent is the side just below the angle .
In the above case,
Hypothenus= X
adjacent =48
This means;
Cos64 = 48 /X
X = 48 / cos64; [ from cross multiplication and diving through by cos64]
X = 48 /0.4383 [ cos64 in radian = 0.4383]
= 109.51
= 109.5 to the nearest tenth.
Note( do your calculation of angle in radian or else, you won't get the answer)
Answer:
the total amount received is $9,630
Step-by-step explanation:
The computation of the total amount received is shown below:
= Investment made + simple interest
= $9,000 + ($9,000 × 7% × 12 months ÷ 12 months)
= $9,000 + $630
= $9,630
hence, the total amount received is $9,630
Answer:
Region 1 : 3
Region 2: 2
Step-by-step explanation:
Given the inequalities :
2x - 1 > 3 and 3(x-3)<0
To obtain a value inneachbregionwhicj makes the inequality or inequalities true, we solve for x
Inequality 1 :
2x - 1 > 3
Add 1 to both sides
2x - 1 + 1 > 3 + 1
2x > 4
Divide both sides by 2
2x/2 > 4/2
x > 2
(3, 4,..)
Inequality 2:
3(x-3)<0
3x - 9 < 0
Add 9 to both sides
3x - 9 + 9 < 0 + 9
3x < 9
Divide both sides by 3
3x/3 < 9/3
x < 3
(2, 1,,)
Answer:
![486yd^2](https://tex.z-dn.net/?f=486yd%5E2)
Step-by-step explanation:
Surface area is found by adding all the areas of like shapes.
All of these are the exact same size, so we can just multiply by the number of squares by their area.
So:
![A=6(9)(9)\\A=6(81)\\A=486yd^2](https://tex.z-dn.net/?f=A%3D6%289%29%289%29%5C%5CA%3D6%2881%29%5C%5CA%3D486yd%5E2)
Answer:
5/8
Step-by-step explanation:
(10 +/- √100-104)/4
(10 +/- 2i)/4
5/4 +/- 1/2i
5/4 * 1/2 = 5/8