MATHEMATICS HIGH SCHOOL

In the 40-60-90 triangle below, side s has a length of ___ and side q has a length of __​
in the 40-60-90 triangle below, side s has a length - 1

Answers

Answer 1
Answer:

Answer:

D. 5,\: 5\sqrt 3

Step-by-step explanation:

According to the 30°-60°-90° triangle theorem:

Side opposite to 30° is half of hypotenuse and side opposite to 60° is (\sqrt 3)/(2) times of hypotenuse.

In the given figure:

side s is opposite to 30° angle.

\therefore s = (1)/(2) * 10= 5\n

side q is opposite to 60° angle.

\therefore q =(\sqrt 3)/(2) * 10= 5\sqrt 3\n

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Many of the constructions that the Greeks thought impossible were later proven impossible in the 18th and 19th centuries.A. True B. False
Factor completely: 3x^2 + 12x + 7
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What value of x is in the solution set of 4x – 12 ≤ 16 + 8x?–10 –9 –8 –7
752988 rounded to the nearest ten thousand

Write a story that can be represented by the following equation: x + 16 = 42

Answers

Answer:

Amanda bought 42 apples and gave 16 away how many are left.

Step-by-step explanation:

X=26

Answer:

Renee runs a dogwalking business. She walked 42 dogs over the weekend. On Saturday she walked 16 dogs but Renee can't remember how many she walked on Sunday. Write and equation to find how many dogs Renee walked on Sunday where x is the number of dogs she walked on Sunday.

How is the numeral 35.012 written in words and why

Answers

Thirty-five and twelve thousandths because...
35 is just thirty-five
The decimal point in words is 'and'
And the 012 goes to the thousandths place...
One place after the decimal place is tenths
Two places is hundredths
And three places is thousandths
Does that help?

Jenny is on the local swim team for the summer and has swim practice four days per week. The schedule is the same each day. The team swims in the morning and then again for 2 hours in the evening. If she swims 20 hours per week, how long does she swim each morning?

Answers

Answer:

Number of hours Jenny swims each morning = 3 hours

Step-by-step explanation:

Let Jenny swims 'x' hours in the morning each day.

She swims 2 hours in the evening too.

Total hours she swims each day = (x + 2) hours

If her team swims 4 hours per week then number of hours she swims = 4(x + 2)

If she swims 20 hours in a week then,

4(x + 2) = 20

(x + 2) = 5

x = 5 - 2

x = 3 hours

Therefore, Jenny swims 3 hours each morning.

Which property could be used to find the missing number? –4 • (–6.2 + 5) = –4 • + (–4) • 5 A. associative property B. distributive property C. commutative property

Answers

The distributive property can be used to find the answer for this.  You distribute the 4 to each number.  The missing number is -6.2
number? –4 • (–6.2 + 5) = –4 • + (–4) • 5 A. associative property B. distributive property C. commutativeproperty

A punch recipe that serves 24 calls for 1/3cup of lemon juice. If Mike plans to make only enough punch to serve 12 people, how much lemon juice will he need? Explain how you found your answer.

Answers

Answer:

Mike will need 1/6 cup of lemon juice to serve 12 people

Step-by-step explanation:

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

Using ratio

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

Cross product

1*12 = 72*x

12 = 72x

Divide both sides by 72

x= 12/72

= 1/6

x= 1/6

Mike will need 1/6 cup of lemon juice to serve 12 people

Answer:

Mike needs 1/6 cup of lemon juice to serve 12 people.

Step-by-step explanation:

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

Using ratio:

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

Cross product:

1*12 = 72*x

12 = 72x

Divide both sides by 72:

x= 12/72

= 1/6

x= 1/6

Mike will need 1/6 cup of lemon juice to serve 12 people

7. Which of the following relations is a function?A.{(2, 3), (-2, 3), (3, 2), (-3,-2)}
B.{(8,-4), (-4, 8), (-4, -8), (-8,4)}
C.{(9, -1), (-1, 9), (9, 2), (2, -1)}
D.{(5, -7), (4, 6), (-3, 8), (5,9)}

Answers

A function means that each x can only have one y-value

B, C, and D are NOT functions because they have x-values that have multiple y-values.

For example

B. has two values for -4:

(-4, 8) and (-4, -8)

C. has two values for 9:

(9, -1) and (9, 2)

D. has two values for 5:

(5, -7) and (5, 9)

This makes A. the only function

Hope this helped!

~Just a girl in love with Shawn Mendes
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