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3 years ago

Hello my daughter needs help on her homework Thi is her question

Mathematics

1 answer:

givi [52]3 years ago

6 0

Answer:

Athena = 10,265 km

Vesta = 102,650 km

Juno = 102,650 km

Ceres = 2,053,000 km

Apollo = 1,026,500 km

Step-by-step explanation:

Athena = 20,530 / 2 = 10,256

From there, you can work out the rest by multiplying accordingly.

Hope this helps and made sense! :)

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1. Solve for x. Then find the angle measures of the triangle? (4x) (6x+55) (9x+30)

nalin [4]

Answer:

x = 5.

First angle = 20°, Second angle = 85°, Third angle = 75°

Step-by-step explanation:

The first angle of the triangle = (4 x)

The second angle of the triangle = (6x + 55)

The third angle of the triangle = (9x + 30)

By ANGLE SUM PROPERTY of a triangle:

First angle + Second angle + Third angle = 180°

⇒ (4 x) + (6x+55) + (9x+30) = 180°

or, (4x + 6x + 9x) + ( 55 + 30) = 180°

or, 19x = 180 - 85

or, 19 x = 95 ⇒ x = 95 /19 = 5

or, x = 5

Hence, first angle of the triangle = (4 x) = 4 x 5 = 20°

Second angle = ( 6x + 30) = 6(5) + 55 = 85°

Third angle = (9x + 30 = 9(5) + 30 = 75°

8 0

3 years ago

The length of a parking Lot is 5 yards more than the width. If the area of the parking lot is 66 square yards, find the dimensio

Brums [2.3K]

Answer:

6 yards by 11 yards

Step-by-step explanation:

Factors of 66 are ...

66 = 1·66 = 2·33 = 3·22 = 6·11

The last pair of factors differ by 5, so represent the solution to the problem.

The width of the parking lot is 6 yards; the length is 11 yards.

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3 years ago

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Alekssandra [29.7K]

Answer:

Step-by-step explanation:

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3 years ago

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Answer

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3 years ago

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for o

pshichka [43]

Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Step-by-step explanation:

Sample space is a set that contains all the possible outcomes for an event.

For salad:

Choices for extra toppings (mushrooms, olives) =2

Choices for meats (bacon, eggs) =2

Choices for dressings (vinaigrette, honey mustard.)= 2

By Fundamental counting principal .

The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)

Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

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3 years ago