Tiffany types of a page in a page inof an hour. At this rate, how many pages will she type in 3 hours? Express your answer as a decimal.​

Step-by-step explanation:

y=42

x=90

Since the triangle has the hypotenuse as the diameter of the circle, the angle opposite the hypotenuse which is x is equal to 90 degrees.

Whenever there is a triangle with the corner of the triangle touching the side of the triangle, the distance between the two legs of the triangle on the circle is 2 times the angle of the corner that is touching. So 21(2)=42

Hope this helps :)

Answer:

the smaller is 25 and the bigger one is 30 .

Step-by-step explanation:

1.

x+y=55

y-5=x

------------

2.

x+y=55

y-x=5

2y = 60

y = 30

30 - 5 = 25

Answer:

the answer it's not correct because you have to put the 6x

Step-by-step explanation:

if you do not put an x after you put the number it would you would get it wrong

Answer:

£2,120.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

Solving our equation:

A = 2000(1 + (0.03 × 2)) = 2120

A = $2,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of £2,000.00 at a rate of 3% per year for 2 years is £2,120.00.

Answer:

[tex]\displaystyle \cos(\alpha+\beta)=\frac{3\sqrt{22}-\sqrt{371}}{40}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\alpha)=\frac{\sqrt{11}}{8}\text{ and } \sin(\beta)=\frac{\sqrt7}{5}[/tex]

Where both α and β are in QI.

And we want to find cos(α + β).

First, let's determine the side lengths for each angle.

For α, we are given that its cosine is √(11)/8.

And since cosine is the ratio of the adjacent side to the hypotenuse, the adjacent side to α is √11 and the hypotenuse is 8.

Therefore, the opposite side will be:

[tex]o=\sqrt{8^2-(\sqrt{11})^2}=\sqrt{53}[/tex]

Hence, for α, the adjacent side is √11, the opposite side is √53, and the hypotenuse is 8.

Likewise, for β, we are given that its sine is √7/5.

And since sine is the ratio of the opposite side to the hypotenuse, the adjacent side of β is:

[tex]a=\sqrt{5^2-(\sqrt{7})^2}=\sqrt{18}=3\sqrt{2}[/tex]

In summary:

For α, the adjacent is √11, the opposite is √53, and the hypotenuse is 8.

For β, the adjacent is 3√2, the opposite is √7, and the hypotenuse is 5.

Using an angle addition identity, we can rewrite our expression as:

[tex]\cos(\alpha+\beta)=\cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)[/tex]

And since both α and β are in QI, all trig ratios will be positive.

Using the above information, we can substitute in the following values:

[tex]\displaystyle \cos(\alpha +\beta)=\Big(\frac{\sqrt{11}}{8}\Big)\Big(\frac{3\sqrt2}{5}\Big)-\Big(\frac{\sqrt{53}}{8}\Big)\Big(\frac{\sqrt7}{5}\Big)[/tex]

Finally, simplify:

[tex]\displaystyle \cos(\alpha +\beta)=\frac{3\sqrt{22}}{40}-\frac{\sqrt{371}}{40}=\frac{3\sqrt{22}-\sqrt{371}}{40}\approx -0.1298[/tex]

Answer:

x = 36

Step-by-step explanation:

x/48 = 48/64

64x = 2304

x = 36

Answer:

x=4.5

Step-by-step explanation:

The sum of all the angles in a square=360°

20(4.5)=90

90×4=360

The answer is true.

(+)(+)= +

(-)(-)= +

(-)(+)= -

Answer:

A

Step-by-step explanation:

EDGE

Answer: [tex]160.28\ cm^2[/tex]

Step-by-step explanation:

Given

diameter of cone [tex]d=12\ cm[/tex]

radius is [tex]r=\frac{d}{2}=6\ cm[/tex]

The slant height of the cone [tex]l=85\ mm\approx 8.5\ cm[/tex]

The surface area of a cone is

[tex]\Rightarrow A=\pi rl[/tex]

Substitute the value

[tex]\Rightarrow A=\frac{22}{7}\times 6\times 8.5=160.28\ cm^2[/tex]

Answer:

The area of the shape is 89m²

Step-by-step explanation:

You need to subtract the area of the empty triangle from the area of the rectangle.

The rectangle's area is 13m × 8m = 104m²

The triangle's area is (6m × (13 - 8)m) / 2 = (6 × 5) / 2 m² = 15m²

Subtract the triangle's area from the rectangle:

104m² - 15m²

= 89m²

Answer:

give me brainliest

Given a line AB with Point C outside it.

Mark point D on the line AB. Join CD

With D as center, and any radius, draw an arc intersecting AB at E, and CD at F.

With C as center, and same radius as before, draw an arc intersecting CD at G.

Open a compass to length EF

Now,with G as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at H.

Draw a line m passing through C and H.

Thus m is the line parallel to AB, and passing through point C

∴m∣∣AB

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of students is x, then the number of parents is 4x

Total number of people is 50:

Solve for x:

There are 10 students

Answer:

10 students

Step-by-step explanation:

First find the sum of the ratio:

1 + 4 = 5

Number of students = [tex]\frac{number in ratio}{sum of ratio}[/tex] × total

= [tex]\frac{1}{5}[/tex] × 50

= 10

∴ 10 out of 50 are students.

( The rest are parents; 50-10=40parents )

Answer:

The 4th one is linear

Step-by-step explanation:

None of the other ones are linear. trust me

Answer:

55 lbs of $0.40 and 45 lbs of $1.40  

Step-by-step explanation:

Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.

There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:

0.4 * x + 1.4 (100-x) = 0.85 * 100

Solve!

0.4x + 140 - 1.4x = 85

-x + 140 = 85

-x = -55

x = 55

From this we get that 100 - x = 45.

So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40

Answer:

3

Step-by-step explanation:

Answer:

The ratio of milk to chocolate syrup is 3 to 1.

There are 2 tablespoons of chocolate syrup to 6 cups of milk.

There are 4 tablespoons of chocolate syrup to 8 frozen bananas to 12 cups of milk

Step-by-step explanation:

Answer:

3 cups of milk =2 frozen banana and 1 tablespoon of chocolate syrup

1 cups of milk =2:3frozen banana and 1:3 tablespoon of chocolate syrup

2cups of milk =2*2/3=4:3 frozen banana and 1*2/3=2:3 tablespoon of chocolate syrup

4cups of milk =2*4/3=8:3 frozen banana and 1*4/3=4:3tablespoon of chocolate syrup

10cups of milk =10*2/3=5:3frozen banana and 1*10/3=10:3tablespoon of chocolate syrup

Answer:

D because you going up to the surface

Answer:

its c

Step-by-step explanation:

Answer:

23,084-9,567= 13,517 so he will have to pay $13,517

Answer: the weight of chalk stick is 25 g

Step-by-step explanation:

Quantity of Carbon in chalk stick = 3 g Let the weight of chalk be x g.

12%of x =3

Answer:

9

Step-by-step explanation:

let the number be n then 3 times the sum of 2 and the number is

3(n + 2) = 4n - 3 ( 3 less than 4 times the number )

3n + 6 = 4n - 3 ( subtract 3n from both sides )

6 = n - 3 ( add 3 to both sides )

9 = n

That is the number is 9

Answer:

volume is l×b×h.

thats 16*12*5 that is 960cm cubed.

total surface area is 2(l×b+b×h+h×l).

that's 2(16×12+12×5+16×5).

664 cm squared .

Answer:

surface area=2(lb+bh+hl)

surface area=2(16×12+12×5+5×16)

surface area=664cm²

volume = 16cm×12cm×5cm

volume= 960cm³

Answer:

yes

Step-by-step explanation:

if my eyes are good then yes

Answer:

-7

Step-by-step explanation:

[tex] - 3(n + 4) = 9 \\ \\ - 3n - 12 = 9 \\ \\ - 3n = 12 + 9 \\ \\ - 3n = 21 \\ \\ n = \frac{ - 21}{3} \\ \\ n = - 7[/tex]