Answer:
The total number of slices is 92
Step-by-step explanation:
we know that
Kelly ordered 10 pizzas for a party
step 1
30% of the pizzas have 12 slices each
so
The number of pizzas for 30% is equal to
0.30(10)=3 pizzas
The number of slices is
3(12)=36 slices
step 2
70% of the pizzas have 8 slices each
so
The number of pizzas for 70% is equal to
0.70(10)=7 pizzas
The number of slices is
7(8)=56 slices
step 3
Find the total number of slices
36+56=92 slices
The slope:
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 8 2 ) / ( 3 - 2 ) = 6 / 1
m = 6 ( we have the same slope for AB and A`B` )
AB = √[( 3 - 2 )² + ( 8 - 2 )²] = √37
A`B` = 3.5 √37 = 21.29
Answer:
£495 million
Step-by-step explanation:
To find out the total cost of the land, we need to first calculate the area of the land.
Step 1: Find area of right angled triangle ADC
AD = 5 km,
DC = 12 km
Area of the right triangle = ½*a*b
a = 5km
b = 12km
Area = ½*5*12
= 5*6
Area of ADC = 30 km²
Step 2: Find the area of triangle ABC
First, let's find the length of AC using Pythagorean theorem
AC² = AD² + DC²
AC² = 5² + 12² = 25 + 144
AC = √169
AC = 13km
Area of ∆ABC = ½*AB*AC*sin(30°)
= ½*6*13*0.5
= 3*13*0.5
Area of ∆ABC = 19.5 km²
Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²
Step 3: calculate how much the land costs
If the land costs £10 million per km²,
Cost of 49.5 km² = 49.5 × 10 = £495 million
Answer:3 hours total
Step-by-step explanation:
15+(3*3)=21+(1*3) which equals out to 24$
Answer: about 22 minutes
Explanation: its hard to explain but trust me i checked my work