Answer:
15.5 ft
Step-by-step explanation:
The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...
x^2 + (4 ft)^2 = (16 ft)^2
x^2 = 240 ft^2 . . . . . . subtract 16 ft^2
x ≈ 15.5 ft . . . . . . . . . . take the square root
The top of the ladder is about 15.5 ft above the ground.
Given :
Miki has 104 nickels and 88 dimes.
She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.
To Find :
Largest number of groups she can have .
Solution :
In the given question we need to find the largest number of groups she can have i.e we have to find the LCM of 104 and 88 .
Now , factorizing both of them , we get :
Form above , we can say that common factors are :
Therefore , the largest number of groups she can have is 8 .
Hence , this is the required solution .
Answer:
9
Step-by-step explanation:
12-5=7 so...
2+7 = 9
y = 9
Answer:
60 oz of water to add
45 oz of 35% salt solution should be used
Step-by-step explanation:
Let x = amt no. ounces in the first solution
and 105 - x = amt no. of ounces in the second solution
Ist solution contains 0% salt
2nd solution contains .35(105 - x) salt
.15(105= amt of salt in mix
So.
amt of salt in 1st solution + amt of salt in 2nd solution = amt of salt in the mix
0 + .35(105 - x) = .15(105)
Let's get rid of the fractions by multipying thru the equation by 100
35(105 - x) = 15(105)
3675 - 35x = 1575
-35x = -2100
x = 60 oz of water to add
105 - 60 = 45 oz of 35% salt solution should be used
Answer:
93.5 in^2
Step-by-step explanation:
we know that
Jodi is cutting out pieces of paper that measure inches by inches
The area of each piece that jodi is cutting out is equal to the area of a rectangle
