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yanalaym [24]
3 years ago
9

If there are 3 cats and 2 run away how many are left

Mathematics
1 answer:
Len [333]3 years ago
3 0
1 cat is remaining :D
You might be interested in
PLEASE HELP<br> find value of x and y
bazaltina [42]

<u>Given</u><u> </u><u>:</u><u> </u>

  • There is a quadrilateral.
  • Two sides of the quadrilateral are parallel .
  • Four angles are 96° , 2x° , 94° & ( 3y + 44 )°.

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

  • The value of x & y .

<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>

Here , 96° & 2x° are co - interior angles and we know that the sum of co - Interior angles is 180°.

⇒ 96° + 2x = 180° .

⇒ 2x = 180° - 96° .

⇒ 2x = 84° .

⇒ x = \red{\sf \dfrac{84^{\circ}}{2}}

\bf\longmapsto x = 42^{\circ}

<u>Hence</u><u> </u><u>value</u><u> </u><u>of </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>2</u><u>°</u><u> </u><u>.</u>

Similarly , 94° & ( 3y + 44) ° are co- interior angles

⇒ 94° + ( 3y + 44)° = 180° .

⇒ ( 3y + 44 )° = 180° - 94° .

⇒ 3y + 44° = 86°.

⇒ 3y = 86° - 44° .

⇒ 3y = 42° .

⇒ y = \sf \red{\dfrac{42^{\circ}}{3}}

\bf\longmapsto y = 14^{\circ}

<u>Hence</u><u> </u><u>the </u><u>value</u><u> </u><u>of</u><u> </u><u>y</u><u> </u><u>is</u><u> </u><u>1</u><u>4</u><u>°</u><u>.</u>

8 0
3 years ago
Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not u
Solnce55 [7]

Answer:

Step-by-step explanation:

Let's take a look at the given angle 135°

The sketch of the angle which corresponds to -\dfrac{3\pi}{4} unit circle and can be seen in the attached image below;

The trigonometric ratios are as follows for an angle θ on the unit circle:

Trigonometric ratio           related ratio on coordinate axes

sin θ                                     \dfrac{y}{1}

cos θ                                    \dfrac{x}{1}

tan θ                                     \dfrac{y}{x}

csc θ                                     \dfrac{1}{y}

sec θ                                     \dfrac{1}{x}

cot θ                                      \dfrac{x}{y}

From the sketch of the image attached below;

The six trigonometric ratio for 135° can be expressed as follows:

sin (-\dfrac{3\pi}{4})= \dfrac{y}{1}

sin (-\dfrac{3\pi}{4})=- \dfrac{\sqrt{2}}{2}

cos (-\dfrac{3\pi}{4})= \dfrac{x}{1}

cos (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}

tan (-\dfrac{3\pi}{4})= \dfrac{y}{x}

tan (-\dfrac{3\pi}{4})= \dfrac{-\dfrac{\sqrt{2}}{2}}{-\dfrac{\sqrt{2}}{2}}

tan (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}} \times {-\dfrac{2}{\sqrt{2}}

tan (-\dfrac{3\pi}{4})= 1

csc (-\dfrac{3\pi}{4})= \dfrac{1}{y} \\ \\ csc (-\dfrac{3\pi}{4})=\dfrac{1}{-\dfrac{\sqrt{2}}{2}} \\ \\ csc=1 \times -\dfrac{2}{\sqrt{2}} \\ \\csc =-\sqrt{2}

sec (-\dfrac{3 \pi}{4})=\dfrac{1}{x} \\ \\  sec = \dfrac{1}{(-\dfrac{\sqrt{2}}{2})} \\ \\ sec = 1 \times -\dfrac{2}{\sqrt{2}}  \\ \\  sec = - \sqrt{2}

cot(-\dfrac{3 \pi}{4}) = \dfrac{x}{y} \\ \\ cot(-\dfrac{3 \pi}{4}) = \dfrac{-\dfrac{\sqrt{2}}{2} }{-\dfrac{\sqrt{2}}{2}} \\ \\  cot(-\dfrac{3 \pi}{4})=  -\dfrac{\sqrt{2}}{2} } \times {-\dfrac{2}{\sqrt{2}}} \\ \\  cot (-\dfrac{3 \pi}{4}) = 1

4 0
3 years ago
Rob peeled 125 oranges in 5 hours. At that rate, how many oranges<br> would he peel in 12 minutes?
marin [14]

Answer:

\boxed {\tt 5 \ oranges}

Step-by-step explanation:

Let's set up a proportion.

\frac{oranges}{minutes} =\frac{oranges}{minutes}

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.

There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.

\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}

\frac{125 \ }{300 \ }=\frac{x \ }{12 }

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12

12*\frac{125 \ }{300 \ }=x

12*0.416666667=x

5=x

Rob can peel 5 oranges in 12 minutes.

6 0
3 years ago
Read 2 more answers
Two rectangles are similar one has a length of 12 cm and a width of 9 cm and other has a width of 8 cm find the length of the se
Serga [27]

Answer:

13.5

Step-by-step explanation:

the relationship is times 1.125

meaning 9 times 1.125 is 8

Thus 12 times 1.125 is 13.5

6 0
3 years ago
I need help with this please
zheka24 [161]
Number 2




Step by step:


:)
3 0
3 years ago
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