Answer:
D. QR.
Step-by-step explanation:
1) in ΔQRS the side QR is opposite the angle S (47°); QS is opposite the angle R (70°); RS is opposite the angle Q (63°);
2) the rule is: greater angle is opposite the longer side;
3) according to the rule the angle 'S' is the smallest, then the side QR is the shortest.
Answer:
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 × 
Step-by-step explanation:
We are finding the quotient of the expression below in scientific notation
The following conclusions can be drawn
B.The power of 10 in the solution is –12, the difference of the original exponents.
C.The coefficient is 3, which is greater than or equal to one but less than 10.
D.The quotient is 3.0 ×
Are you looking for p=7.69411764
We have to calculate the volume of the right rectangular prism.
lenght=4 1/2 in=(4+1/2) in=9/2 in
width=5 in
height=3 3/4 in=(3+3/4) in=15/4 in
Volume (right rectangular prism = lenght x width x height.
volume=9/2 in * 5 in * 15/4 in=675/8 in³
we calculate the volume of this little cube.
volume=side³
volume=(1/4 in )³=1/64 in³
Now, we calculate the number of small cubes are needed to fit the right rectangular pris by the rule of three.
1 small cube----------------1/64 in³
x---------------------------------675/8 in³
x=(1 small cube * 675/8 in³) / 1/64 in³=5400 small cubes.
Answer: we need 5400 small cubes to fit the right rectangular prism.
Answer:
B
Step-by-step explanation:
A scale model means that the ratios stay the same.
Therefore, Earth's diameter divided by Pluto's diameter is equal to the ratio of Earth's model's diameter divided by Pluto's model's diameter.
We can write this as
8000 / 1500 = 32/ Pluto's model's diameter. Representing Pluto's model's diameter as P, we can say
8000 / 1500 = 32 / P
multiply both sides by 1500 to remove a denominator
8000 = 32 * 1500 / P
multiply both sides by P to remove the other denominator
8000 * P = 32 * 1500
divide both sides by 8000 to isolate the P
P = 32 * 1500/8000
= 6 inches
