Answer:
The distance from the base of the ladder to the base of the house is 10ft
Step-by-step explanation:
From the question, we can gather that the ladder makes a right angle shape with the wall of the house.
The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft
To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides
We have established that the hypotenuse is the length of the ladder which is 26ft
Let the distance we want to calculate be d
26^2 = 24^2 + d^2
d^2 = 26^2 -24^2
d^2 = 676 - 576
d^2 = 100
d = square root of 100
d = 10ft
Total children = 6
1) Probability of 4 girls =4/6=0.66
Probability of at least 4 girls >_ 0.66
That is greater or equal to 0.66
2) probability of 5 girls = 5/ total children
=5/6=0.83
Probability of at most 5 girls <_ 0.83
That is less than equal to 0.83
Dear SailorMars, since I don't have a phone I will show my work on this chat. For 2. we can do 1x1x28=28 cm³ and 2x2x7=28cm³ which will have a square base, which is 2 possible molds. For 3. we can do 10x1x36=360in³, 10x2x18=360in³, 10x3x12=360in³, 10x4x9=360in³, and 10x6x6=360in³ which will have a dimension of 10 in, which is 5 possible molds.
For 4. multiply 12x8x4=384in³ and multiply 20x15x9=to get 2700in³. With the two measurements, subtract 2700-384=2316in³ of space in the box.
For 5. multiply the equations 5x2x1, 5x2x2, 5x2x3, 5x2x4, and 5x2x5 to get the volumes in order 10ft³, 20ft³, 30ft³, 40ft³, and 50ft³.
For 6. multiply the equations 3x6, 3x7, 3x8, 3x9, 3x10, 3x11, and 3x12 to get the inches in order 18 in, 21 in, 24 in, 27 in, 30 in, 33 in, 36 in.
For 1. multiply 6x8x10 to get 480 in³; the answer is C
For 2. multiply 12x8=96 and divide 576/96 to get 6 in; the answer is A
For 3. 7:50+ :28= 8:18 PM then 8:18+2: =10:18 PM; the answer is D
For 4. it's a square pyramid because a square pyramid has squares and pyramids; the answer is D
For 5. multiply 24x12x14=4032 in³; the answer is D
For 6. multiply 2x3x6 to get 36m³; the answer is C
Each friend will get approximately 66.6 centimeters of taffy
11. Assuming distance is proportional to time,
.. (3 h)/(7 h) = d/(665 km)
.. d = (665 km)*(3/7) = 285 km . . . . . . selection B
12. (30 L)/(1.5 L/min) = 20 min . . . . . . selection C
