Four balls of wool will make 8 knitted caps. How many balls of wool will
Malcolm need if he wants to make 6 caps?*
1 point
Balls of Wool
4
Number of Caps
8
6
2 balls of wool
3 balls of wool
4 balls of wool
5 balls of wool

Corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]

So, option C. is correct.

A unit circle is a circle with radius is equal to one.

Any point on a unit circle is of the form [tex]\boldsymbol{\left ( cos\, \theta, \sin\, \theta \right )}[/tex]

Value of [tex]\theta[/tex] is [tex]\boldsymbol{\frac{7\pi}{6}}[/tex]

So, corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]}[/tex]

[tex]\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]=\left [\cos \left (\pi + \frac{\pi}{6} \right ),\sin \left (\pi + \frac{\pi}{6} \right ) \right ][/tex]

                              [tex]=\left [ -cos\left ( \frac{\pi}{6} \right ),-\sin\left ( \frac{\pi}{6} \right ) \right ]\\=\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]

So, option C. is correct.

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Answer:

A

Step-by-step explanation:

y = -9 ------(1)

9x -4y = -9 -------(2)

substitute (1) into (2)

9x - 4 (-9) = -9

9x = - 45

x = -5

there you go, x = -5 and y = -9

so. (-5 , -9 )

hope this helps

please mark it brainliest

Answer:

40

Step-by-step explanation:

angle b and D is 40 degrees

Answer: six apples 4 bannanas, brainleist?

Answer:

x=4

y=6

Step-by-step explanation:

BRAINLIEST????

Answer:

-4+(-5)

Step-by-step explanation:

If the temperature is dropping five you add -5 to negative 4.

Answer:

26.69

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached

The missing side is x;

From the triangle we are given;

Opposite = x

Hypotenuse = 29

Angle of elevation = 67 degrees

Using the SOH CAH TOA identity;

Sin theta = opposite/hypotenuse;

sin 67 = x/29

x = 29sin67

x = 29(0.9205)

x = 26.69

Hence the length of the missing side is 26.69

All trigonometric ratios of triangle PQR were calculated.

In the given right triangle PQR

PR = 14

QR = 50

So, using Pythagoras' theorem

PQ = 48

Sine of an angle = Opposite side / Hypotenuse

cosine of an angle = Adjacent side/ Hypotenuse

Tangent of an angle = Opposite side/ Adjacent side

So, SinQ = 14/50 =7/25      

CosecQ = 1/SinQ = 25/7

CosQ= 48/50 = 24/25

SecQ = 1/CosQ = 25/24

TanQ = 14/48 = 7/24

CotQ = 1/tanQ = 24/7

SinR=24/25

CosecR = 1/SinR= 25/24

CosR=7/25

SecR = 1/Cosr = 25/7

TanR =24/7

CotR = 1/tanR = 7/24

Thus, All trigonometric ratios of triangle PQR were calculated.

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Answer:

6.96cm^2.

Step-by-step explanation:

Formula:

1/2 b x h

1/2 5.8 x 2.4

2.9 x 2.4

6.96cm^2.

Answer:

29/9

Step-by-step explanation:

= 3 x 9 = 27

= 27 + 2 = 29

= 29/9

Explanation of solving real life problems involving rational number is describe below.  

Rational numbers are involved wherever in your day to day routine. How much pocket cash you get. That is an objective number. In the event that you go through some sum out of it, it is deduction of same number.

Imagine you are athlete, in your race competition you have to cover a rational number of distance.It is example of rational number used in our life.

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Answer:

Step-by-step explanation:

Answer:

Let y be the no. of people she can bring

18 + 16.5y <= 150

Step-by-step explanation:

Answer:

16.5y + 18 = 150

16.5y + 18 = 150

        -18    -18

        0       132  

          16.5y     132

          16.5       16.5

y = 8

Ms.Lemon can bring 8 people including herself

Step-by-step explanation:

First you are going to rewrite the equation then do the inverse operation of addition. Then, subtract 150 from 18 then you get 132 then you bring down 16.5y and cancel it out by dividing and then you divide 132 by 16.5 and you get 8 so Ms.Lemon can bring 8 people including her self.

Answer:

Martin is the answer

Step-by-step explanation:

Incorrect - Martin is putting in $25 a week which means each week his bank is growing by exactly $25

Correct - Cali's pay is exponential since it is increasing each year by a percentage, so not a steady rate.

Incorrect - The athlete's weight is decreasing, so the opposite of growth.

Incorrect - And mei-lin can change how many hours she works so she will get a different amount for the time she works each day.

Hopefully, this helped, have a great day!

brainliest?

Answer:

 well i cant explain the anwser but its y < 5 + 3 x

Answer:

B= 17.1

Step-by-step explanation:

The formula for the area of a triangle is BH1/2

The word problem gives you the area and the height

Set the problem:

369.25= 42.4(1/2)(B)

42.4(1/2)=21.2

369.25=21.2B

Divide both sides by 21.2 to isolate the variable

17.41=B

Hope this helps! :)

Answer:

a multiple of both is 5 ...

Answer:

70

Step-by-step explanation:

10                        35

10                        35

20                        70  

30

40

50

60

70

Answer:

It is false

Step-by-step explanation:

The graph that correctly represents the linear piece-wise function is the first graph.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

A cab company charges a $5 pick up fee and $1 for each mile up to 10 miles, hence:

[tex]y = 5 + x, x \leq 10[/tex]

Hence, at x = 10, we have that:

y = 5 + 10 = 15.

$2 per mile for each mile over $10, hence:

[tex]y = 15 + 2(x - 10), x \geq 10[/tex]

Hence, at x = 14, we have that:

y = 15 + 2(14 - 10) = 15 + 8 = 23.

Thus the first graph is correct.

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Answer:A. It is the first graph

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

36 x 2 = 72 Double the number the Gavin got as an answer because he cut it in half

Answer:

Step-by-step explanation:

The scale factor is 2

Answer:

Step-by-step explanation:

The image is not showing up

Answer:

5ft to 49in 5ft/49in 5ft:49in

Step-by-step explanation:

Answer:

The odds are 12

Step-by-step explanation:

The odds of rolling an odd number from the sum of two rolls requires that we roll one even number from one die and an odd number from another die.

Thus the probability of the event is P(e) = 1/12.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

For the given situation,

The sample space for rolling two 6 sided dice is

[tex]s[/tex] = { [tex](1,1),(1,2),(1,3),(1,4),(1,5),(1,6)[/tex]

[tex](2,1),(2,2),(2,3),(2,4),(2,5),(2,6)[/tex]

[tex](3,1),(3,2),(3,3),(3,4),(3,5),(3,6)[/tex]

[tex](4,1),(4,2),(4,3),(4,4),(4,5),(4,6)[/tex]

[tex](5,1),(5,2),(5,3),(5,4),(5,5),(5,6)[/tex]

[tex](6,1),(6,2),(6,3),(6,4),(6,5),(6,6)[/tex]}

So, [tex]n(s)=36[/tex]

Let the event be the probability that the sum is odd and the number on one of the dice is a 5

Consider that the probability that the sum is odd be a,

[tex]a =[/tex] { [tex](1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(3,6),\\[/tex]

[tex](4,1),(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5) }[/tex] }

Consider that the probability that the number on one of the dice is 5 be b,

[tex]b=[/tex] { [tex](1,5),(2,5),(3,5),(4,5),(5,5),(6,5)[/tex] }

The probability of the event can be find by taking intersection of a and b

⇒[tex]e=a[/tex]∩[tex]b[/tex] = { [tex](2,5),(4,5),(6,5)[/tex] }

⇒[tex]n(e)[/tex] [tex]=3[/tex]

Probability (event )=[tex]\frac{n(e)}{n(s)}[/tex]

⇒[tex]p(e)=\frac{3}{36}[/tex]

⇒[tex]p(e)=\frac{1}{12}[/tex]

Hence we can conclude that the probability of the event is P(e) = 1/12

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Answer:

200

Step-by-step explanation:

each square=40

Answer:

148

Step-by-step explanation:

148

Answer:

D:30

Step-by-step explanation:

Total of students =53

53-7= 46

46÷2=23

23+7=30

Answer:

30

Step-by-step explanation:

Cross Multiply - 15 times 42 = 630

630 = 21t

What is 630 / 21... = 30

t = 30

Answer:

21/15=42/t

Rewrite the equation as 42/t=21/15.

42/t=21/15

Cancel the common factor of 21 and 15.

42/t=7/5

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

42⋅5=t⋅7

Solve the equation for t.

t=30

Step-by-step explanation:

Hope it is helpful....