Answer:
• 72 ft²
Step-by-step explanation:
The bottom side length of the triangle is the difference between the top base length and the bottom base length:
13 ft - 5 ft = 8 ft
The vertical side length of the triangle is the same, because the triangle is an isosceles right triangle.
Since we know the base lengths and height of the trapezoid, we can use the usual formula for the area:
A = (1/2)(b1 +b2)h
= (1/2)(5 ft + 13 ft)(8 ft) = 72 ft²
Answer:
45
Step-by-step explanation:
1/3 of 90
= 1/3 * 90
= 90/3
= 30
Let the missing number be x.
2/3 of x
= 2/3 * x
= 2x/3
30 = 2x/3
Cross multiply,
2x = 30 * 3
2x = 90
x = 90/2
x = 45
Hence,
the missing number is 45.
Answer:
Step-by-step explanation:
Probability is the possibility for an event to occur or not to occur.
The formula for a combination is:
n choose r = n! / (r! x (n-r)!)
Given
n=14
r= 11 to 13
Hence, we shall add up the cases for 11 through 13.
nCr
14C11 + 14C12 + 14C13
14!/11!(14-11)! + 14!/12(14-12)! + 14!/13(14-13)!
= 14!/11!•3! + 14!/12!•2! + 14!/13!•1!
= 14*13*12*11!/11!•(3*2*1) + 14*13*12!/12!•(2*1) + 14*13!/13!•(1*1)
= 2184/6+182/2+14/1
= 364+91+14
= 469 ways
A linear pair means both angles add up to 180
first we want to find x
(x-15)+(x+77)=180
2x+62=180
2x=118
x=59
then just put x into the two angles
59-15
m1=44
59+77
m2=136
Answer:
Answer options
A. Two cities that are 7.5 cm apart on the map are actually 50 km apart.
D. Two cities that are actually 66 km apart are 9.9 cm apart on the map.
Step-by-step explanation:
Step 1
Indicate the scale as shown;
3 cm : 20 km, meaning 3 cm on the map represents 20 km on the ground
A). what does 7.5 cm represent on the ground
Distance on ground=(7.5×20)/3=50 km
B). what does 4 cm represent on the ground
Distance on ground=(4×20)/3=26.67 km
C). what does 45 km on ground represent on the map
Distance on map=(45×3)/20=6.75 cm
D). what does 66 km on ground represent on the map
Distance on the map=(66×3)/20=9.9 cm
