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Ede4ka [16]
3 years ago
8

Mike hiked to a lake in 5.5 hours at an average rate of 4 1/5 miles per hour. Pedro hiked the same distance at a rate of 4 3/5 m

iles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.
Mathematics
2 answers:
rjkz [21]3 years ago
7 0

Answer:

5.02 hours

Step-by-step explanation:

d = r * t

they each hiked same distance

mike: d= 5.5 * 4.2, which equals 23.1

pedro: d = 4.6 * rate

23.1 = 4.6r

r = 5.02 hours

Lana71 [14]3 years ago
6 0

Answer:

Step-by-step explanation:

mike hiked to the lake

5.5 h with an average rate 4 1/5 miles per hour

4 1/5=21/5 miles per hour= 4.2 miles per hour

Mike hiked 5.5*4.2=23.10 miles

Pedro hiked 5.5 hours at a rate of 23/5 miles per hour or 4.6 miles per hour

Pedro hiked the same distance, 23.10 miles at an average of 4.6 miles per hour

23.10/4.6=5.02 hours

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In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet. Find the measure of ∠V to the nearest tenth of a degree.
Crazy boy [7]

Answer:

m<V = 11.2 degrees

Step-by-step explanation:

In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet.

From the triangle;

UV = hypotenuse = 6.2feet

WU = opposite = 1.2feet

Required

m<V

Using the SOH CAH TOA identity

sin m<V = opp/hyp

sin m<V = WU/UV

sin m<V = 1.2/6.2

sin m<V = 0.1936

m<V = arcsin(0.1936)

m<V = 11.16

m<V = 11.2 degrees ((to the nearest tenth of a degree)

4 0
2 years ago
Read 2 more answers
Simplify x to the 1/3 power (x to the 1/2 power + 2x to the 2 power )
OverLord2011 [107]

Answer:

x^(5/6) + 4(x^(7/3))


Step-by-step explanation:

Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )


Simplify x^(1/3) × (x^(1/2) + (2x)^2)

= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)

= x^(1/3+1/2) + 4(x^(1/3+2))

= x^(5/6) + 4(x^(7/3))


x^(1/3) is y such that y^3 = x

(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x


x^(1/2) = √2 = y such that y^2 = x

(2x)^2 = 4x^2






6 0
3 years ago
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Nikitich [7]
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3 0
2 years ago
Find the product: (30 gallons 3 quarts 1 pint) × 5
maks197457 [2]

Answer:

Please mark me brainliest!!!!!!!

Step-by-step explanation:

Step 1:

Multiply each by 5, then make any necessary conversions to the other units of measurement (ie. gallon, quart, etc)

30 gallons x 5= 150 gallons

3 quarts x 5= 15 quarts

1 pint x 5= 5 pints

Step 2:

CONVERSION

1 gallon=4 quarts

1 gallon= 8 pints

1 quart= 2 pints

GALLONS: 150 gallons

QUARTS:

=15 quarts ÷ # quarts in gallon

=15/4= 3 gallons 3 quarts

PINTS:

=5 pints ÷ # pints in quart

=5/2= 2 quarts 1 pints

TOTALS:

150 gallons

3 gallons 3 quarts

2 quarts 1 pint

Since we have 5 additional quarts, and we know that 4 quarts=1 gallon, we need to convert again.

=3 quarts + 2 quarts

=5 quarts ÷ # quarts in gallon

=5/4 = 1 gallon 1 quart

FINAL TOTALS

GALLONS: 150 + 3 + 1= 154 gallons

QUARTS: 1 quart

PINTS: 1 pints

4 0
2 years ago
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