Answer:
Area of the base = (8×6)/2 = 24 yd²
Height of the prism = 8 yd
Perimeter of the base = 8+6+10 = 24 yd
Surface area = 2B + Ph = (2×24)+(24×8) = 48+192 = 240 yd²
1. incorrect
2. correct
3. incorrect (?)
This is the concept of applications of volume. We are required to calculate BTUs per cubic foot. This will be given by the formula:
(BTU)/volume
Total BTU=15*750=11,250
(assuming the bus is a perfect cuboid) volume of the bus will be;
volume=length*width*height
=38*8.5*6.25
=2018.75 ft^2
Thus the BTUs per foot will be:
11250/2018.75
5.57 BTUs/ft
You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.
In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.
Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8
Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees
You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38
Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
Answer:
Hisaki can make 4 2/3 batches of cookies with 3 1/2 cups of sugar.
Step-by-step explanation:
Let x be number of batches with 3.5 cups. (I've converted the fractions to decimals to simply calculation. Let me know if you want an explanation where I retain the fractions as-is.)
1 batch = 0.75 cup
x batches = 3.5 cups
-using unitary method-
( 3.5 * 1 ) / 0.75 = x
4.66667 = x
Therefore, number of batches = x = 4 2/3 batches.
