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3 years ago

The triangles below are similar.

Mathematics

1 answer:

Kobotan [32]3 years ago

8 0

Answer: 54

Step-by-step explanation:

Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.

Let substitue: 52.5/x= 5/4: ( I Reduce 15/12 into 5/4).Cross multiply: 210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.

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10. Given that the total distance travelled is 4 km and that the initial aceleration is 4 m/s², find:a) the value of V.b) the va

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2 years ago

A student was given two data sets, Set A and Set B. Which of the following statements is true?

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge

nignag [31]

Answer:

To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

Step-by-step explanation:

Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:

Will's shop:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

$\left \{ {{12x+ 9y=780} \atop {7x + 11y =570}} \right.\\$

We can isolate "x" on the second equation, we have:

$x = \frac{570 - 11y}{7}$

Applying this value on the first equation:

$12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20$

Applying the value of "y" we found on the "x" equation above, we have: $x = \frac{570 - 11*20}{7}\\x = 50\\$

Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

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3 years ago

The temperature in the morning was -3.The temperature dropped 11 degrees by night. What was the temperature at night ?

Pachacha [2.7K]

Answer:

The temperature was -14 degrees.

Step-by-step explanation:

The word "dropped" indicates that one has to subtract to the result. -3 - 11 is -14.

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3 years ago