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yKpoI14uk [10]
4 years ago
6

Please help me, no links or random answers, please. When you are writing the answer please number it so I know which answer is f

or which question.

Mathematics
1 answer:
dalvyx [7]4 years ago
8 0

Answer:

Step-by-step explanation:

a. Y intercept is where the line crosses the y axis, so for l1 it’s (0,4). Answer is 4.

b. Y intercept for l2 is point (0,2). Answer is 2.

c. l1 gradient is -1/2. Rise/run

So l1 equation is y = -1/2x + 4

l2 gradient is 1.

Equation is y = x + 2

e. x+2= -1/2x + 4

1.5x = 2

x = 1.333...

y = plug into one of the equations value of x. So y = 3.333...

f. 1.33+ 2 = 3.33

-1/2 times 1.33 + 4 = 3.33 (rounded)

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Express the angle in radian measure<br> 108 degrees= __pi/___
Alexandra [31]

Answer:

108° = \frac{3\pi }{5} radians

Step-by-step explanation:

To convert from degrees to radians

radians = degree measure × \frac{\pi }{180}, thus

radian measure = 108° × \frac{\pi }{180} = \frac{3\pi }{5}

6 0
3 years ago
in a box of 12 fuses, there are 3 that are defective. if a quality control engineer tests 4 of these fuses at random, what is th
vladimir1956 [14]
3/12, or 1/4, are defective.
he tests 4/12, or 1/3, fuses.
1/4(1/3) = 1/12 ?

i’m sorry if this is wrong. i’m not good at probability!
6 0
4 years ago
What is the diameter of the cylinder
vfiekz [6]
  • Diameter of cylinder is <u>1</u><u>4</u><u> </u><u>units.</u>
<h3><u>Explamation </u><u>:</u></h3>

<em><u>Given </u></em><em><u>:</u></em><em><u>-</u></em>

  • Volume of cylinder = 245π cubic units
  • Height of cylinder = 5 units

<em><u>To </u></em><em><u>Find </u></em><em><u>:</u></em><em><u>-</u></em>

  • Diameter of cylinder?

<em><u>Solution </u></em><em><u>:</u></em><em><u>-</u></em>

<em>Firstly </em><em>lets </em><em>calculate </em><em>radius </em><em>of </em><em>cylinder </em><em>by </em><em>using </em><em>formula </em><em>of </em><em>volume </em><em>of </em><em>cylinder,</em><em> </em><em>as </em><em>we </em><em>know </em><em>that;</em>

  • Volume of cylinder = πr²h

<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>

➸ 245π = π × r² × 5

<em>By </em><em>cutting </em><em>'π' </em><em>with </em><em>'π' </em><em>we </em><em>get;</em>

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(<u>7</u><u> </u><u>×</u><u> </u><u>7</u><u>)</u> = r²

➸ 7 = r

➸ r = 7 units

  • <u>Hence,</u><u> </u><u>radius </u><u>of </u><u>cylinder </u><u>is </u><u>7</u><u> </u><u>units.</u>

<em>Now </em><em>lets </em><em>calculate </em><em>its </em><em>diameter,</em><em> </em><em>as </em><em>we </em><em>know </em><em>that;</em>

  • Diameter = Radius × 2

<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>

➸ Diameter = 7 × 2

➸ Diameter = 14 units

  • <u>Hence,</u><u> </u><u>diameter </u><u>of </u><u>cylinder </u><u>is </u><u>1</u><u>4</u><u> </u><u>units.</u>

5 0
2 years ago
Read 2 more answers
The area of a rectangle is 30 square feet. The base of the rectangle is 7.5
BigorU [14]

Answer:

4 ft

Step-by-step explanation:

<h3>Area of rectangle:</h3>

Area = 30 square ft

base = 7.5 ft

          \sf \boxed{height \ of \ rectangle = \dfrac{Area}{base}}

                                             \sf =\dfrac{30}{7.5}\\\\=\dfrac{30*10}{7.5*10}\\\\=\dfrac{300}{75}\\\\= 4 ft

8 0
2 years ago
Solve by the linear combination method.<br><br> 6x – 2y = 2<br> –3x + 4y = 5
kykrilka [37]
6x - 2y = 2
-3x + 4y = 5....multiply by 2
-----------------
6x - 2y = 2
-6x + 8y = 10 (result of multiplying by 2)
-----------------add
6y = 12
y = 12/6
y = 2

6x - 2y = 2
6x - 2(2) = 2
6x - 4 = 2
6x = 2 + 4
6x = 6
x = 6/6
x = 1

solution is (1,2)
8 0
3 years ago
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