Answer:
A. 7√3 in
Step-by-step explanation:
We first have to draw out the altitude on the triangle. When we do so, we should see that we will get 2 congruent 30-60-90 triangles. From there, our <em>h</em> height is <em>x</em> and we use tan∅ to solve:
tan60° = x/7
x = 7tan60°
x = 7√3
Answer:
2545
Step-by-step explanation:
Answer:
$20.30
Step-by-step explanation:
The usual price of the gift is $29.00
Marie will get 30% DISCOUNT on this price if she uses her coupon. So, the final price would be 30% less than $29.00
First, we need to find 30% of $29.00. Then we need to subtract that from original price (29).
Convert percentage to decimal first:
30% = 30/100 = 0.3
Now multiply this with 29 to get:
0.3 * 29 = $8.70
We subtract this from original price to get DISCOUNTED PRICE:
$29.00 - $8.70 = $20.30
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:
x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60
x=60
2x-20=2(60)-20=120-20=100
Solution: the length is 100 m, and the width is 60 m.
To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.
Answer:
18 cups of dried split peas. 16 quarts of water. 6 cups of chopped onions. 8 cups chopped celery. 16 pounds ham shank.
Step-by-step explanation:
Since that is a recipe for 8 people and 8 is a factor of 32, we can multiply the ingredient amounts by 4 (4 x 8 is 32).
2 1/4 c x 8 = 18 c.
2 qt x 8 = 16 qt.
3/4 c x 8 = 6 c.
1 c x 8 = 8 c.
2 lb x 8 = 16 lb.
