Answer:
r = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² = PQ² + QR² , substitute values
(r + 4)² = r² + 8²
r² + 8r + 16 = r² + 64 ( subtract r² from both sides )
8r + 16 = 64 ( subtract 16 from both sides )
8r = 48 ( divide both sides by 8 )
r = 6
Decimal is the dot used after the ones to show parts of one you normally see it in money. 1.50. The . between 1 and 50 is the decimal. Whats in front of the decimal is ones, tens, hundreds, etc and after the decimal is tenths, hundredths, etc.
Hope I helped<span />
He scored 24 points which means that after scoring the 4 three pointers, he would have to score another 4 three pointers (12 points)
The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 ×

+ 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 ×

+ 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 ×

+ 3 × 2³ -

)
Collect the like terms with a base of 2.
2(

+ 3 × 2³)
Evaluate the power of 2³.
2(

+ 3 × 8)
Evaluate the power of

.
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)
Answer:
42 yards 2 feet 11 inches
Step-by-step explanation:
Freya, uses 2 yards, 1 foot, 7 inches of twine to wrap each damaged carton.
She has to repair 17 cartons.
The amount of twine needed to wrap 17 cartons
= (2 yards 1 foot 7 inches) x 17
= 34 yards 17 feet 119 inches
Now let's convert the answer to larger units
1 yard = 36 inches
1 yard = 3 feet
Convert 119 inches to yards
119 inches = 3 yards 11 inches
17 feet = 5 yards 2 feet
Therefore, 34 yards 17 feet 119 inches = (34 + 3 + 5 ) yards 2 feet 11 inches
Answer = 42 yards 2 feet 11 inches
Thank you.