Answer:
24/10
Step-by-step explanation:
From the diagram
Opposite BC = 24cm
Adjacent = AC = 10cm
tan theta = opposite/adjacent
Substitute
tan <A = BC/AC
tan <A = 24/10
Hence the equivalent ratio is 24/10
To solve this problem you must apply the proccedure shown below:
1. You have that the formula for calculate the area of a triangle is:
A=bh/2
Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.
bh/2=124
bh=124x2
bh=248
2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:
Base=b/2
Height=3h
3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:
A'=bh/2
(A' is the new area)
A'=(b/2)(3)/2
A'=3bh/4
4. When you substitute bh=248 into </span>A'=3bh/4, you obtain:
<span>
A'=186 units</span>²
<span>
The answer is: </span>186 units²
Answer:
2/16
1/8
Step-by-step explanation:
8/1=8
2/16=0.125 which is equal to 1/8
2/14=1/7
1/8=1/8 is 2/16 simplified so they are the same
14/2=7
Answer:
48
Step-by-step explanation:
120 divided by 2.5 = 40
Answer:
Step-by-step explanation:
1. If m<2 = 32°
the measure for m<4 is 148°
x + 32° = 180°
x = 148°
measure of m<6 = 148° alternate interior of m<4
2. If m<1 = 65°, then m<2 and m<3 are also 65°
Both m<2 and m<3 are vertical angles therefore they are 65°
m<1 and m<2 are corresponding angles therefore they are 65°