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Eva8 [605]
3 years ago
13

Cleatus pulled into the neighborhood gas station to fill his car with gas. The 91-octane gas is selling for $2.08 per gallon. He

decided to get his car washed for an extra $6.00. What is the total amount of his purchase if he bought 20 gallons of gas?
Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer: $47.60

Step-by-step explanation: First, we will multiply $2.08 by 20 because we want to know how much it will cost for 20 gallons of gas.

$2.08 x 20 = $41.60

Now, just add the $6.00 car wash to the total amount of gas which is $41.60.

$41.60 + $6.00 = $47.60

So, the total amount of his purchase was $47.60

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In triangle IJK, J = 800cm, k = 240 cm and angle I=173 degrees. Find the area of triangle IJK, to the nearest square centimeter.
wariber [46]

Answer:

11,700cm²

Step-by-step explanation:

Area of the triangle = 1/2*JK sin<I

Given

J = 800cm

K = 240cm

<I = 173 degrees

Substitute

Area of the triangle = 1/2 * 800 * 240 sin 173

Area of the triangle = 400 * 240sin 173

Area of the triangle = 400 * 29.25

Area of the triangle = 11,699.5

Area of the triangle to the nearest square centimeter is 11,700cm²

5 0
3 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
kramer

Step-by-step explanation:

A cross-section is a washer with an inner radius of 8sin(x) - (-1) and an outer radius of 8cos(x) - -(1), so its area would be:

A(x) = π[(8cos(x) + 1)^2 − (8sin(x) + 1)^2]

= π[64cos^2(x) + 16cos(x) + 1 - 64sin^2(x) − 16sin(x) − 1]

= π[64cos(2x) + 16cos(x) - 16sin(x)]

=> V(x) = ∫[0,π/4] π[64cos(2x) + 16cos(x) - 16sin(x)] dx

= π[32sin(2x) + 16sin(x) + 16cos(x)] |[0,π/4]

= π[32sin(π/2) + 16√2/2 + 16√2/2 - 16]

= π(32 - 16 + 16√2) = π(16 + 16√2)

The volume of the region is π(16 + 16√2).

7 0
3 years ago
I need help I can't find which one it is
lawyer [7]
The real number has to be 0
8 0
3 years ago
Read 2 more answers
Helppp meee helpppp meeeee
stealth61 [152]

Answer:

1. Alt. Exterior angles (c)

2. Supplementary angles (e)

3.Alt. Interior angles (a)

4. Vertical angles (d)

5. Corresponding angles (b)

6. None (f)

7. Supplementary angles (e)

8. Alt. Interior angles (a)

9. M∠3 = 97°      M∠5 = 97°  

   M∠10 = 97°     M∠7 = 83°

   M∠9 = 83°      M∠16 = 97°

10. x = 5

11. x = 8

12. x = 20

Step-by-step explanation:

a.) 1-8

Alt. Exterior angles: Angles that are on the opposite sides of the transversal ( ex. 9∠16 and 13∠12)

Alt. Interior angles: Angles that are in the area between the parallel lines ( ex. 14 ∠11 and 10∠15)

Vertical angles: A pair of opposite angles formed by intersecting lines. ( ex. 12∠15 and 9∠14)

Corresponding angles: Angles that are in the same position relative to lines intersected by a transversal (ex. 9∠11 and 14∠16)

Supplementary angles: 2 angles that sum up to 180° ( ex. 9∠10, 11∠15, and 13∠14)

b.) 9

M∠2 is 97° and M∠3 are vertical angles so they both will have the same degrees (97°)

M∠2 and M∠10 are corresponding angles so they also will have the same degrees (97°)

Since you know M∠10 is 97° and a straight line is 180.

you would subtract 97 to 180 (180-97 = 83) so M∠9 is 83°

c.) 10-12

This is kind of like simple algebra

You would take M∠8 (4x+57) and M∠4 (77) and just put it into a problem ->

4x+57=77

    -57 = 77

4x=20

20/4 = 5

7 0
2 years ago
The product of two consecutive odd integers is 323 .find both pairs
steposvetlana [31]

Answer:

17 and 19 are two consecutive odd integers that when multiplied, give the product 323

7 0
3 years ago
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