Let us try and solve it analytically. We have that the side=x+3 together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that
. This yields
which yields s^2=2x+7, hence a) is the correct answer.
Answer:
1.9 inches
Step-by-step explanation:
We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,
→ π × r² × h = 384
⇒ Substitute in 8 for 'r'
→ π × 8² × h = 384
⇒ Simplify
→ π × 64 × h = 384
⇒ Divide both sides by 64 to isolate π and h
→ π × h = 6
⇒ Divide both sides by π to isolate 'h' and find the value of the height
→ h = 1.9098593171
The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches
Answer:
Step-by-step explanation:
<u>Event A - spinning violet or yellow</u>
Assuming that the spinner has 4 different colors (red, orange, violet and yellow) - see attachment.
<u>Event B - rolling an even number</u>
Assuming the number cube has 6 sides numbered 1, 2, 3, 4, 5 and 6. Therefore, the even numbers are 2, 4 and 6.
Events A and B are <u>independent events</u> as the outcome of one event does not affect the outcome of the other event.
For independent events A and B:
To find P(A and B), substitute the found values of P(A) and P(B):
ABM=CDM-DMC=BAM alternate interior angles
AMB=CMD verticle angles
triangle AMB=CMD by ASA
A=c CPTC
ABD=BDC, BAC=ACD, ADB=DBC by CPCTC
AM=CM def of a Parallelogram
2.
△
RPQ is an isosceles triangle. C is the midpoint of line RQ- Given
RPC=QPC- construction
PC=PC reflective property
∠
RPC= QPC- SAS
