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madam [21]
3 years ago
12

What is the slope of the line that passes through (-1, -7/3,) (8/3, 5)​

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Answer:

slope is m=2

Step-by-step explanation:

5-(-7/3)=22/3

divided by

8/3-(-1)=11/3

=22/3*3/11=2/1*1/1=2

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What is the solution to the system of linear equations? x - 2y = -3
Diano4ka-milaya [45]
X= -7 and y= -2
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8 0
3 years ago
A young lady started working at In N Out Burger:
kogti [31]

Answer:

Step-by-step explanation:

6. 13/hour

7. R=income/hours worked so 221/17=13. Not sure if that is what they are asking for.

8. Not sure. Is it $13/hour?

9. still guessing but the constant is $13/hour so to determine how many hours need to be worked to reach $1000, you divide. $1000/13=Approximately 77 hours.

5 0
3 years ago
Pls help 15. Find the exact area of the shaded region of the circle shown in the diagram.
konstantin123 [22]

Answer:

  • The shaded region is 9.83 cm²

Step-by-step explanation:

<em>Refer to attached diagram with added details.</em>

<h2>Given </h2>

Circle O with:

  • OA = OB = OD - radius
  • OC = OD = 2 cm

<h2>To find</h2>

  • The area of segment ADB.

<h2>Solution</h2>

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

  • They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.

Recall the property of 30°x60°x90° triangle:

  • a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of <u>sector:</u>

  • A = π(θ/360)r², where θ- central angle,
  • A = π*((mAOC + mBOC)/360)*r²,
  • A = π*((60 + 60)/360))(4²) =  16.76 cm².

Area of<u> triangle AO</u>B:

  • A = (1/2)*OC*(AC + BC),  AC = BC = OC√3 according to the property of 30x60x90 triangle.
  • A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²

The shaded area is:

  • A = 16.76 - 6.93 = 9.83 cm²

8 0
2 years ago
What is the total surface area of a cylindrical tank having
UkoKoshka [18]

Answer:

Could be C) or D) None of these, 29688.05cm^2

Step-by-step explanation:

Did the question to round off to any numbers?

Formula for cylinder's T.S.A: 2 π r h + 2 π r^2

Diameter= 2 x radius

Radius = 70cm / 2 = 35cm

Height -> need to convert m to cm -> 100cm

Substitute these values into the formula:

2 x π  x 35 x 100 + 2 x π x (35)^2 = 29688.05cm^2

8 0
3 years ago
531 times what equals 5,310
Leya [2.2K]

Answer:

10

531 x 10 = 5,310

4 0
3 years ago
Read 2 more answers
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