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3 years ago

A line passes through the points (9, 30) and (18, 30). Which statement is true about the line?

Mathematics

2 answers:

icang [17]3 years ago

6 0

Answer:

It has a slope of zero because the change in the y-values is 0.

Step-by-step explanation:

asambeis [7]3 years ago

3 0

Answer:

the line is horizontal

Step-by-step explanation:

Note the y- coordinates of the 2 points the line passes through are equal.

This indicates that the line is horizontal and parallel to the x- axis

The equation of a horizontal line is y = c

where c is the value of the y- coordinates the line passes through.

Here the y- coordinates are 30, hence

Equation of horizontal line is y = 30

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A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says t

solniwko [45]

Answer:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.

Step-by-step explanation:

Given that:

Number of apples already available with Owner = 200

Number of bags of apples ordered with 12 apples each = 19

Number of apples ordered = 12 $\times$ 19 = 228

Rounding off 19 to 20:

Number of apples ordered = 12 $\times$ 20 = 240

Around 240 apples were ordered.

Number of bags of apples with 8 apples each, sold = 42

Number of apples sold = 42 $\times$ 8 = 336

Rounding off 42 to 40, number of apples sold = around 320

Therefore, 80 more apples were sold than that of apples bought.

So, according to the estimate, there will be 80 fewer apples left than they started with.

Correct answer is:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with

4 0

3 years ago

Prove tan(θ / 2) = sin θ / (1 + cos θ) for θ in quadrant 1 .

Leona [35]

We are asked to prove tan(θ / 2) = sin θ / (1 + cos θ). In this case, tan θ is equal to sin θ / cos θ. we can apply this to the equality. sin θ is equal to square root of (1-cos θ)/2 while cos θ is equal to square root of (1 + cos θ)/2.
Hence, when we replace cos θ with square root of (1-cos θ)/2, we can prove already.

3 0

3 years ago

Read 2 more answers

Which statement is true about the equations-3x 4y 12 and tx 1?

nydimaria [60]

We need to solve -3x+4y=12 for x

Let's start by adding -4y to both sides

-3x+4y-4y=12-4y

-3x=-4y+12

x = (-4y+12)/-3

x= 4/3 y -4

Now substitute 4/3 y -4 for x in 1/4 x - 1/3 y =1

1/4 x -1/3 y =1

1/4 (4/3 y -4) -1/3 y =1

Use the distributive property

(1/4)(4/3 y) + (1/4)(-4) -1/3 y =1

1/3 y -1 - 1/3 y =1

Now combine like terms

(1/3y -1/3y) + (-1) =1

= -1

-1 = 1

Now add 1 to both sides

0=2

So there are no Solutions

The answer is C

I hope that's help Will :)

7 0

3 years ago

What is the correct answer..

solong [7]

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

$\therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet$

3 0

3 years ago

A school has 63% percent girls and 37%, percent boys. If 23%, percent of the girls wears contacts and 42%, percent of the boys w

Degger [83]

Answer:

30% students

Step-by-step explanation:

Let x be the number of total students of a school.

63% are girls then total number of girls = (0.63)x

37% are boys then total number of boys = ( 0.37)x

Now 23% of girls wear contacts then total number of girls

= (0.63x) × 0.23

= (0.1449x)

And 42% of boys wear contacts then total number of boys wearing contacts

= (0.37x) ( 0.42)

= (0.1554)x

Total students wears contacts = ( 0.1449x) + (0.1554x)

= (0.3003x)

Percentage of students wear contacts = $\frac{\text{total students wear contacts}}{\text{total students in school}}$ × 100

= $\frac{0.03003x}{x}$ × 100

= 30%

All 30% students wear contacts.

4 0

3 years ago