Cecily's teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart shows the scrolls picked by Cecily and her friends.

Answer:

The measure of angle B is 69°.

Step-by-step explanation:

All angles of the triangle should add up to 180°, so you add angle A and angle C together, and then subtract that number from 180.

49 + 62 = 111

180 - 111 = 69

69°

Answer:

2 square cm

Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

                                                                      = 2 cm.

So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is [tex]$r \sqrt 2$[/tex].

Therefore, the area of the square is given by [tex]$\text{(side)}^2$[/tex]

                                                                         = [tex]$(r\sqrt 2)^2$[/tex]

                                                                         [tex]$= 2 r^2$[/tex]

                                                                         [tex]$= 2 (1)^2$[/tex]

                                                                         [tex]$=2 \ cm^2$[/tex]

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.

Answer:

729

Step-by-step explanation:

27²=  (27)(27)=729

Answer:

Steps:

a.

x = 7×tan(28)

x = 7×0.531..

x ≈ 3.72

b.

x = 7/cos(30)

x = 7/0.86..

x ≈ 8.08

c.

x = 6×sin(41)

x = 6×0.65..

x ≈ 3.94

Answer:

[tex] \frac{x - 10}{8} [/tex]

Step-by-step explanation:

[tex] \frac{3x}{8} - \frac{x + 5}{4} [/tex]

The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.

Thus:

[tex] \frac{1(3x) - 2(x + 5)}{8} [/tex]

[tex] \frac{3x - 2x - 10}{8} [/tex]

[tex] \frac{x - 10}{8} [/tex]

Answer:

[tex]50^{o}[/tex]

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50

Answer:

Angle B: 28 degrees

Side a: 27.6

Step-by-step explanation:

Angle B:

180-112-40=28

Side a:

sin 28/14 = sin 112/a

a = sin 112(14)/sin 28

a = 27.6

Answer:

i ) $96120

ii ) Singular adult fee in 2012: $186.91

Step-by-step explanation:

( i )

To find the costs of all 560 peoples you:

Multiply the amount of people by the fee,

440 × 198 = $87120

120 × 120 = $9000

Add these go get the sum of member fees: $96120

( ii )

First calculate what 1% of the adult fee would be:

198 ÷ 100 = 1.98 = 1%

Then calculate what 0.1% of the fee:

1.98  ÷ 10 = 0.198 = 0.1%

Now multiply 5 by the value of 1% to get 5% :

5 × 1.98 = 9.9

Then multiply 6 by the  0.1% to get 0.6% :

0.198 × 6 = 1.188

Add these numbers together to get:

1.188 + 9.9 = $11.088 = 5.6%

Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)

$11.09

We now subtract this from the 2013 fee to find out the 2012 fee

$198 - $11.09 = $186.91

$186.91 was the cost of a singular adult fee in 2012

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Hello! I believe the answer is A. 30+0.25p=60.

Elijah has to pay a facility charge which is 30$. So we can go ahead and write that down! He has 60$ to spend, but he has to pay $0.25 per paintball. So we write that as 30+0.25p=60!! If you have any questions comment doen below!

Answer:i think it A to

Step-by-step explanation: it is the only one correct

Answer: 46 is your answer hope this helped

Step-by-step explanation:

Answer:

[tex]4 \sqrt{11} [/tex]

Step-by-step explanation:

According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} - {height}^{2} = {(base)}^{2} [/tex]

[tex] = > {24}^{2} - {20}^{2} = {x}^{2} [/tex]

[tex] = > \: {x}^{2} = 576 - 400[/tex]

[tex] = > {x}^{2} = 176[/tex]

[tex] = > x = \sqrt{176} [/tex]

[tex] = > x = \sqrt{2 \times 2 \times 2 \times 2 \times 11} [/tex]

[tex] = > x = 2 \times 2 \sqrt{11} [/tex]

[tex] = > x = 4 \sqrt{11} (ans)[/tex]

Answer:

20

Step-by-step explanation:

use pythagorean theorem:

[tex]12^{2}[/tex] + [tex]16^{2}[/tex] = [tex]c^{2}[/tex]

144 + 256 = [tex]c^{2}[/tex]

400 = [tex]c^{2}[/tex]

[tex]\sqrt[ ]{400}[/tex] = c

20 = c

Answer:

20%

Step-by-step explanation:

465 - 372 = 93

93/465 = 0.2

0.2 × 100 = 20

Hope this helps !

Answer:

sin θcos θ

hope it is helpful to you

Answer:

sin A cos A

Step-by-step explanation:

[ I don't know to type angle theta here so assume A as theta]

As , sin A= p/ h

cos A= b/ h

so,

sinA cosA = p/ h × b/h

= pb/ h^2 ( which is not equal to 1 )

Tip; you can easily verify other relations expressing trigonometric ratios in terms of p,b & h and further simplifying..

Answer:

x=0

Step-by-step explanation:

Let's solve your equation step-by-step.

6x+x=10x

Step 1: Simplify both sides of the equation.

6x+x=10x

(6x+x)=10x(Combine Like Terms)

7x=10x

7x=10x

Step 2: Subtract 10x from both sides.

7x−10x=10x−10x

−3x=0

Step 3: Divide both sides by -3.

−3x/−3 = 0/−3

x=0

Now you can figure out which one is the best solution

Answer:

x=7

Step-by-step explanation:

4x+12=40

-12

4x=28/4

Answer:

x =7

Step-by-step explanation:

4x + 12 = 40

4x + 12 - 12= 40 -12

4x = 28

4/4= 28/4

x= 7

Answer:

POSSIBLY 1

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

The measure of  each exterior angle of a regular 67-gon is 5.73

Given that,

Based on the above information, the calculation is as follows:

[tex]= 360\div 67[/tex]

= 5.73

Learn more: brainly.com/question/17429689

Answer:

Let f = dollars spent on flights, h dollars spent on hotels, and p dollars spent on all other purchases.

Step-by-step explanation:

Answer:

15/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Choose 3.

3^3 = 27;

3^0 = 1; and

3^(-2) = 1/9

Answer: think its c

Step-by-step explanation:

I believe the answer is 18%

Answer:

For number five your answer would be C and for number 6 it would be C

Step-by-step explanation:

you take 12 and multiply by 9 which gives you 108

Answer:

Step-by-step explanation:

Multiple the numbers one by one and the answers you’ll get u can choose to divide multiple plus or minus and u will get the answer