All categories

2 years ago

Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)

Mathematics

1 answer:

vitfil [10]2 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.

Slav-nsk [51]

Answer:

Part 1) The exact value of the arc length is $\frac{25}{6}\pi \ in$

Part 2) The approximate value of the arc length is $13.1\ in$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5\ in$

substitute

$C=2\pi (5)$

$C=10\pi\ in$

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

$\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in$

step 3

Find the approximate value of the arc length

To find the approximate value, assume

$\pi =3.14$

substitute

$\frac{25}{6}(3.14)=13.1\ in$

7 0

3 years ago

Number 2 is the problem i need help with

Reptile [31]

Answer:

2a) $180

2b) $1440

Step-by-step explanation:

2a) Basically Samuel works for 6 hours a day and earns 7.50 per hour, so you have to do 7.50 x 6 to see how much he earns per day (which in this case is $45). You then have to multiply $45 to 4 since he earns $45 per day and works 4 days per week (which is $180).

2b) After finding out how much he earns per week ($180 from the previous question), you then have to multiply $180 by 8 as $180 is the amount he earns per week and since he works for 8 weeks you have to multiply $180 by 8 (the answer is then $1440).

sorry if I'm not making sense, i tried :) good luck!

8 0

3 years ago

Read 2 more answers

Find the values of x and y.

kotykmax [81]

Answer:

y=9 and x=18

Step-by-step explanation:

You know that y+3=12 so 12-3=9

You know that x-3=15 so 15+3=18

6 0

3 years ago

Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood.

sashaice [31]

Answer:

1.5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of the quadrilateral located?

Viktor [21]

Answer:

Option (2). 1

Step-by-step explanation:

Coordinates of point A, B, C and D are,

A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).

Quadrilateral ABCD when rotated 90° clockwise about the origin,

Rule for the rotation of the vertices,

(x, y) → (y, -x)

Following the rule of rotation coordinates of the image points,

A(-4, 4) → A'(4, 4)

B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

4 0

2 years ago