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3 years ago

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Mathematics

2 answers:

dmitriy555 [2]3 years ago

5 0

63 + a = 90; subtract 63 from both sides of the equation.

Taya2010 [7]3 years ago

4 0

Answer:

Option B, 63 + a = 90; subtract 63 from both sides of the equation

Step-by-step explanation:

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

Here, we know the one angle measure is 63°

Let's consider unknown angle as a.

63 °+ a = 90°

63 °+ a -63° = 90° - 63° ( subtract 63 from both sides of the equation)

a = 90° - 63°

a = 27°

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In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. There is someone with a very bad

diamong [38]

Answer: 12,972,960

Step-by-step explanation: There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways

The 2nd has a choice among 13 ways

The 3rd has a choice among 12 ways

The 4th has a choice among 11 ways

The 5th has a choice among 10 ways

The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways

But the 3 (that formed one group) could seat among themselves in 3!

or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

5 0

3 years ago

A function, f(x) = 4x + 5, has a domain 0 < x < 50. What is its range?

Roman55 [17]

Answer:

f(x) = 4x+5 ; 0 ≤ x ≤ 50

The range is the possible output values of f(x)

4(0) + 5 = 5 smallest output value in range

4(50) + 5 = 55 largest output value in range

The outputs are between 5 and 55 including the endpoints so

the range is [5, 55]

7 0

3 years ago

Read 2 more answers

Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing

Cloud [144]

Answer:

See below

Step-by-step explanation:

Sides of the garden

16 feet and 8 feet

New dimensions of the garden

16 + 2x and 8 + x

1. The area of the new garden

(16 + 2x)(8 + x) =
2x^2 + 32x + 128

2. The difference in area

2x^2 + 32x + 128 - 16*8 =
2x^2 + 32x

3. x= 2 effect on the area

2*2^2 + 32*2 =
8 + 64 =
72 ft²

4. Area difference = 160

2x^2 + 32x = 160
x^2 + 16x - 80 = 0
Solving we get positive root of 4 ft

5. Area difference = 4 times

2x^2 + 32x = 128*3
2x^2 + 32x - 384 = 0
x^2 + 16x - 192= 0
Solving we get positive root of 8 ft

3 0

3 years ago

A golfer earned the following scores over several rounds of golf: −3, 2, 0, −1, 2, −4. Jamar says these numbers can all be descr

otez555 [7]

Answer:

Jamar is correct.

Step-by-step explanation:

The scores are as follows :

−3, 2, 0, −1, 2, −4.

These numbers include negative, positive and 0 as well. These numbers cannot written in a fractional form. It means they are integers.

Here, amar says these numbers can all be described as integers, while Sophia says they are whole numbers.

It would mean that Amar is correct. Sophia is incorrect because she told that the are whole numbers. Whole numbers are simply number like 0,1,2,3,4....

3 0

4 years ago

How is the graph of y=7x^2+4 different from the graph of y=7x^2

Hoochie [10]

1, it is shifted 4 units up

6 0

3 years ago