Answer:
A = 30 unit^2
Step-by-step explanation:
To find the area of the triangle
A = 1/2 b*h where b is the length of the base and h is the height
b = 12 and h =5
A = 1/2 (12*5)
A = 1/2 *60
A = 30 unit^2
X = 5/3 and m∠SPY = 8 1/3°.
Since PQ bisects the angle, the two angles formed by the bisector are equal:
11/2x - 5 = 4x - 5/2
We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5
Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5
Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5
Divide both sides by 3:
3x/3 = 5/3
x = 5/3
Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:
11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2
We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
Answer:
1. D
2. x=65
Step-by-step explanation:
Hi!
Your answer is D because 78 is 120% of x
120% in decimal point is 1.2.
So it's 1.2x is the same as 120% of x
For question 8:
1.2x=78
Isolate x by divide 1.2 on both sides
78/1.2=65
Answer:
The correct option is 1. The area of cross section area is 48 mm².
Step-by-step explanation:
From the find it is noticed that the cross section is a rectangle with length 4 mm and width is 12 mm.
The area of a rectangle is the product of its dimensions.
Where, l is length of the rectangle and w is width of the rectangle.
The area of cross section is
Therefore the area of cross section area is 48 mm². Option 1 is correct.
