Good morning,
Answer:
![\frac{\sqrt{3} }{2} a](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20a)
Step-by-step explanation:
h = altitude
side = a
using Pythagorean theorem: in the right triangle:
h² = a² - (a/2)²
= a² - a²/4
= 3/4a²
= [(√3/2)×a]²
⇒ h = (√3/2)×a.
:)
Number 4 is a, and 6 is d, but I'm not sure about 5
$13.79 for 7 light bulbs!
Answer:
3/2 cups of flour
1/4 cups of butter
Step-by-step explanation:
Cups of flour = 6
Cups of sugar = 2
Cup of butter = 1
Marcos only has ½ cup of sugar, so he's going to make a smaller cake.
Cups of sugar for big cake = 2
Cups of sugar for small cake = 1/2
Ratio of cups of sugar for big cake to small cake is
= 2 : 1/2
= 2 ÷ 1/2
= 2 × 2/1
= 4
This means to make smaller cake, all recipes should be divided by 4
Flour for small cake = flour for big cake / 4
= 6 / 4
= 3/2 cups of flour
= 1.33
Butter for small cake = Butter for big cake / 4
= 1 / 4 cups of butter
= 0.25
Multiply 3 * 1 1/2 to find how many miles she runs per hour
1 1/2 * 3
3/2 * 3
9/2
4 1/2 She will run 4 1/2 or 4.5 miles per hour.