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disa [49]
3 years ago
13

Tristan has a pickup truck that could carry 7/ 6 ​-cord of firewood. Find the number of trips needed to carry 14 cords of wood.

Mathematics
2 answers:
IceJOKER [234]3 years ago
3 0
14 / (7/6) = 
14 * 6/7 =
84/7 =
12 trips <==
jekas [21]3 years ago
3 0

Answer:

12 trips will be needed to carry 14 cords of the wood.

Step-by-step explanation:

We will use unitary method to solve this problem.

∵ Pick up truck carry \frac{7}{6} cord of firewood in trip = 1

∴ Pick up truck will carry 1 cord of firewood in the trips = \frac{1}{\frac{7}{6}} tips

                                                                                            = \frac{6}{7} trips

∴ Truck will carry 14 cords of firewood in the trips = \frac{14\times 6}{7}

                                                                                   = 12 trips.

Therefore, 12 trips will be needed to carry 14 cords of the wood.

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4 0
2 years ago
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Two persons start running simultaneously from a certain point, one towards south and another towards east. After 2 hours, the di
Volgvan

The Pythagorean theorem is sometimes known as Pythagoras' theorem. The speed of the faster person is 40 kmph.

<h3>What is Pythagoras' theorem?</h3>

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Let the speed of one person be represented by x, then the speed of the other person, if the speed of the second person is 75% of the first.

  • Speed of first-person = x
  • Speed of second-person = 75% of Speed of first-person = 0.75x

Now, the distance covered by two persons in 2 hours is,

  • Distance covered by the first-person = x × 2 = 2x
  • Distance covered by the second-person = 0.75x × 2 = 1.5x

Since one person runs towards the south and another towards the east. Therefore, will form a 90° angle between their directions.

Now, the distance between the two after two hours is 100 km, therefore, we can write,

(2x)² + (1.5x)² = 100²

4x² + 2.25x² = 10000

6.25x² = 10000

x² = 10000/6.25

x² = 1600

x = √1600

x = 40

Hence, the speed of the faster person is 40 kmph.

Learn more about Pythagoras' Theorem here:

brainly.com/question/14461977

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6 0
1 year ago
Find the compound interest on 50000 for 9 month at 8 %
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Answer:The answer is 5, 414.52

Step-by-step explanation:

Since number of years isn't imputed, it will be assumed it's for 1 year

Hence using Compound interest formula

A = P( 1 + r/n)^not

Inputting values

A = 5000( 1 + 0.08/9) ^ 9*1

A = 5, 414.52

Hope this helps

7 0
3 years ago
An electric bill in May was $112.00. In June, the bill was $163.00. What is the percent of increase, rounded to the nearest tent
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Answer:

d. 45.5%

Step-by-step explanation:


7 0
3 years ago
Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC . What is the leng
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Answer:

Length of side of rhombus is x=\frac{ab}{a+b}  

Step-by-step explanation:

Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.

It is also given that AB=a and AC=b

Let side of rhombus is x.

In ΔCEF and ΔCBA

∠CEF=∠CBA        (∵Corresponding angles)

∠CFE=∠CAB        (∵Corresponding angles)

By AA similarity rule, ΔCEF~ΔCBA

∴ their sides are in proportion

\frac{EF}{AB}=\frac{CF}{AC}

⇒ \frac{x}{a}=\frac{b-x}{b}

⇒ xb=ab-ax

⇒ x(a+b)=ab

⇒ x=\frac{ab}{a+b}

Hence, length of side of rhombus is x=\frac{ab}{a+b}  

6 0
3 years ago
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