Vrect = base × height (h) = s^2×h
Vrect = 175 in^3, h = 7in.
s^2×h = 175
7s^2 = 175
7s^2/7 = 175/7
s^2 = 25
SR(s^2) = SR(25)
s = 5 in.
SinA = O/H
= 8<span>√3 / 16
=</span>√3 / 2
answer is B √3 / 2
Answer:
Height ( h) = 12 units.
Step-by-step explanation:
Given : An equilateral triangle with side = 8 √3.
To find : What us the length of the altitude of the equilateral triangle .
Solution : We have given equilateral triangle with side = 8 √3.
By taking the half triangle,
By the Pythagorean theorem :
(Hypotenuse)² = ( adjacent)² + (opposite)².
Plug the values Hypotenuse = 8√3 , adjacent = 4√3 , opposite = h.
(8√3)² = ( 4√3)² + (h)².
192 = 48 + (h)².
On subtracting by 48 both sides.
192 -48 = (h)².
144 = (h)².
On taking square root .
h = 12 .
Therefore, Height ( h) = 12 units.
Answer:
a) she be able to make 8 bags
b) she can make 16 bags.
Step-by-step explanation:
According to the exercise info Denise has 6.4 pounds of beans
<u>Solving question a </u>
⇒ if she makes each bean bag of 0.8 pounds and she has 6.4 pounds of beans, we can express this by using the three simply rule she needs to puts 6.4 pounds of beans in x quantity of bags of 0.8 pouns, so doing the division: 6. 4 pounds of beans / 0.8 pounds of beans per bag= 8 bags of 0.8 pounds of beans.
B- If she decides to make mini bean bags that are half as heave as the ohers bags, so now Denise is going to make bags of 0.8/2 = 0.4 pounds.
Doing the same procedure as question a, we can say that she has 6.4 pounds of beans and she needed to put these amount in a x quantity of 04 pounds bags. Doing the following division ⇒ 6.4 pounds of beans/ 0.4 pounds of beans per bag= 16 bags
In conclusion she is going to make 16 bags of 0.4 pounds of beans.
