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Nady [450]
2 years ago
10

A box has sides with these measures: length 10 cm, width 8 cm, height h cm. If the volume is 400 cm3 , find the measure of the h

eight. You may use the equation V = lwh as a beginning.
Mathematics
2 answers:
inessss [21]2 years ago
6 0
400=10\cdot8\cdoth\\
80h=400\\
h=5 \hbox{ cm}
Rudik [331]2 years ago
4 0
V=lwh\\\\
length=l=10cm\\width=w=8cm\\
height=h\\\\
400=10*8*h\\\\
400=80h\ \ \ | divide\ by\ 80\\\\
h=5cm\\\\Height\ is\ equal\ to\ 5cm.
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River C is 500 miles longer than River D. If the sum of their lengths is 5,560 miles, what is the length of each river?
AleksAgata [21]

Answer:

River D: 2780 River C: 2280

Step-by-step explanation:

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2 years ago
Jordan lives 6 kilometers due south of his parents' house and 4 kilometers west of his grandparents' house. On his birthday, Jor
rusak2 [61]

Answer:

Step-by-step explanation:

The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus

d² = 6² + 4² = 52

d = √52 = 7.2 km

The total distance that he drove on his birthday is

6 + 4 + 7.2 = 17.2 km

5 0
2 years ago
F(x+h) = (x+h)² + 3(x+h)^3<br><br> How would I distribute this?
Leno4ka [110]

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distributive Property
  • Expand by FOIL (First Outside Inside Last)
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = x² + 3x³

f(x + h) is x = x + h

<u>Step 2: Simplify</u>

  1. Substitute:                              f(x + h) = (x + h)² + 3(x + h)³
  2. Expand by FOILing:               f(x + h) = (x² + 2hx + h²) + 3(x + h)³
  3. Rewrite:                                  f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
  4. Expand by FOILing:               f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
  5. Distribute/Expand:                 f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
  6. Distribute 3:                            f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
  7. Combine like terms:               f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
3 0
2 years ago
How many kg equals 10.5 g??
olga55 [171]
10.5 grams equals to 0.0105 kilograms
4 0
3 years ago
Abby needs to take a taxi to go to the movies, the taxi charges 4.00 flag fee for the pick up and then 2.75 for each mile driven
AlexFokin [52]

Answer:

6 miles

Step-by-step explanation:

x = miles driven

4.00 + 2.75 * x = 20.50

2.75x = 20.50 - 4.00 = 16.50

so

x = 16.50/2.75 = 6 miles

5 0
2 years ago
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