Answer:
61.2
Step-by-step explanation:
first you add 6+12 and then multiply that number by 3.4
Answer:
B. 110 degrees
Step-by-step explanation:
The measure of an arc equals the measure of its central angle.
Answer:
12 U.S teaspoons are in 1/4 cups.
The Formula is to multiply the volume value by 48.
So Since a 1/4 us cup=0.25 we can multiply this by 48.
0.25*48=12
So our awnser is 12 teaspoons
1. 15 / 1/3
When dividing, the second fraction flips over .
15* 3/1= 45/1= 45
2. 24 / 1/6
24*6= 144
4. 7/12 / 1/3
7/12*3/1
Cross out 3 and 12, divide by 3
12/3= 4
3/3= 1
7/4* 1/1. Multiply the numerator together. Multiply the denominators together.
7*1= 7
4*1= 4
7/4 or 1 3/4
Answers :
1. 45
2. 144
4. 7/4 or 1 3/4
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
