Math question, please help​

Explanation:

This is after using the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.

We use nCr instead of nPr because the order of the toppings doesn't matter.

Given:

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

To find:

The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.

We know that,

[tex]\sin^2\theta +\cos^2\theta =1[/tex]

[tex]\sin^2\theta=1-\cos^2\theta[/tex]

[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]

It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,

[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]

After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get

[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]

[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]

[tex]\sin \theta=-\dfrac{4}{5}[/tex]

Therefore, the correct option is B.

Answer:

√85

Step-by-step explanation:

A (-3 , 4)    B (4 , -2)

AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85

AB = √85

Answer:

Step-by-step explanation:

Descending order:

6.21     ;           2.62   ;  2.612    ; 2.061    ;  0.66

First see the whole number. write the number with biggest whole number.

6.21

2) Then three numbers have 2 . So, now compare the tenth place.

Two numbers have same place value 2.62 and 2.612.

Compare the hundredth place value in these two numbers.

So, 2.62

3) 2.612

4) 2.061

5) 0.66 is the smallest

Given:

The cost of game = $25

Sales markup = 6%

To find:

How much do they each pay?

Solution:

The sales markup is 6% of the cost.

[tex]\text{Sales markup}=25\times \dfrac{6}{100}[/tex]

[tex]\text{Sales markup}=1.5[/tex]

Now, the total cost after sales markup is:

[tex]25+1.5=26.5[/tex]

Jane and Tannic split the cost of buying a video game. It means they divide the cost in two equal parts. So, the amount paid by each one is

[tex]\dfrac{26.5}{2}=13.25[/tex]

Therefore, Jane and Tannic will pay $13.25 each .

Answer:

No, the points are evenly distributed about the x-axis

Step-by-step explanation:

Hope its right , if not so advance sorry :)

Answer:

C

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

∆y/∆x

2.3/1.5

= 1.533

Answer:30

Step-by-step explanation:

I hope it's correct and it helps I don't know how to explain it lol

Answer:

x = 48; y = 13

Step-by-step explanation:

20/5 = 52/y

4 = 52/y

4y = 52

y = 13

20/5 = x/12

4 = x/12

x = 4 * 12

x = 48

Answer:

x = 48, y = 13

Step-by-step explanation:

Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48

Answer:

(3) 48

Step-by-step explanation:

The angle inside the ABC one is two times its angle size

Answer:

Step-by-step explanation:

Answer: 45%

Step-by-step explanation:

You need to purchase price to answer this question and I believe that purchase price to be $240,000.

The question wants to know the percentage of the purchase price that the down payment is and to find that out, use the following formula:

= Down payment / Purchase price * 100%

= 108,000 / 240,000 * 100%

= 45%

Answer:

45%

Step-by-step explanation:

.......................

Answer:

1/2

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = (y2-y1)/(x2-x1)

    = (22-21)/(6-4)

    = 1/2

Answer:

slope , m = 1/2

Step-by-step explanation:

We have two points which are ( 6,22) and (4,21).

To find slope , using slope formula

m = ( y² - y¹ ) / ( x ² - x ¹)

Where,

Substitute the values into the formula

m = ( 22 - 21 ) / ( 6 - 4 )

m = 1 / 2

Answer:

225 cm cubed

Step-by-step explanation:

(1/2•base)•height

Answer:

64 dollars

Step-by-step explanation: 120×30%= $36-$100= $64

She receives $16 when she pays for the calculator with a $100 bill

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A calculator which is marked at $120 is sold for cash at a 30% discount.

So, It was sold for 70% of its mark value assuming that to x.

∴ (70/100)×120 = x.

x = $84.

So, Susan will receive $(100 - 84) = $16.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

2/5 ≤ x-4

0.4 ≤ x-4

let's just add 4 on both sides

0.4 +4 ≤ x-4 +4

4.4 ≤ x

simple as that. just handle inequalities like you would handle equations

Answer:

Proved

Step-by-step explanation:

Given

[tex]UPC = 0-58200-48826-5[/tex]

Required

Show that it is valid

Add up the elements at odd positions

[tex]Odd = 0 + 8 + 0 + 4+8+6[/tex]

[tex]Odd = 26[/tex]

Multiply by 3

[tex]Product = 26 * 3[/tex]

[tex]Product = 78[/tex]

Add up the elements at even positions

[tex]Even = 5 + 2 + 0 + 8 + 2 + 5[/tex]

[tex]Even = 22[/tex]

Add up both results

[tex]Result = 78 +22[/tex]

[tex]Result = 100[/tex]

Take modulus of 10

[tex]Result \% 10 = 100 \% 10[/tex]

[tex]Result \% 10 = 0[/tex]

Since the result of the modulus is 0, then the number is valid

Answer:

D. 4/7

Step-by-step explanation:

There are 7 people in people and there are 4 girls, that would be 4/7.

Answer:

0.99

Step-by-step explanation:

divide 6.93 by 7.

= 0.99

We have the equation:

6.93 ÷ 7 = ?  

 [tex]\left[\begin{array}{ccccccc}&&0.&9&9\\7&&6.&9&3\\&&-&6&3\\\left&&&&6&3\\&&&-&6&3\\&&&&&0\end{array}\right][/tex]

Answer:

The answer is A. 31,250.

Step-by-step explanation:

To solve for the 7th term in the geometric sequence, start by plugging 7 into the explicit formula, and the formula will look like [tex]a_{7}=2*5^{(7-1)}[/tex].

Next, subtract 1 from 7, and the formula will look like [tex]a_{7}=2*5^{6}[/tex].

Then, raise 5 to the power of 6, which will look like [tex]2*15625[/tex].

Finally, multiply 2 by 15,625, and the answer will be 31,250.

Answer: -9/2

Step-by-step explanation:

Answer:

x = -9/2

Step-by-step explanation:

Use the law of exponents

(a^p)^q = a^(pq)

here on the left-hand-side

a=3

p=3

q=2x+6

so

(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)

The right-hand-side = 3^(2x)

Equate exponents of both sides

6x+18 = 2x

6x-2x = -18

4x = -18

x = -9/2

Answer:

x = 145

Step-by-step explanation:

The angles are same side exterior angle and same side exterior angles are supplementary

x +35 =180

Subtract 35 from each side

x = 180-35

x =145

Answer:

x=145

Step-by-step explanation:

180 -35 = 145

angle in a straight line add up to 180

x=145

F angle /corresponding angle are the same

Answer: