measures 19.2cm and 21.6cm to the nearest tenth

Answer:

A

Step-by-step explanation:

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{\sqrt{34} }[/tex]

Rationalise the denominator by multiplying numerator/ denominator by [tex]\sqrt{34}[/tex]

sin x = [tex]\frac{3}{\sqrt{34} }[/tex] × [tex]\frac{\sqrt{34} }{\sqrt{34} }[/tex] = [tex]\frac{3\sqrt{34} }{34}[/tex] → A

60 degrees, because it's an equilateral triangle, as you can tell because the sides are all the same length.

Answer for 1. 72

Answer for 2.536

Answer for 3.195

Answer:

346 cm²

Step-by-step explanation:

Area of square:

Area = [tex]Length*Length[/tex]

A = 20*20

A = 400 cm²

Area of rectangle:

Length = 3 cm

Width = 20-2 = 18 cm

Now, The Area:

Area = [tex]Length * Width[/tex]

Area = 3 * 18

Area = 54 cm²

Now, The difference in their areas:

=> 400-54

=> 346 cm²

Answer:

hiya 13 more points

Step-by-step explanation:

Answer:

C(x) = 97 + 1,25x

Step-by-step explanation:

A função (C) que representa o custo total em função do número de hambúrgueres produzidos (x) contém duas partes: uma constante referente ao custo fixo de R$ 97,00, e uma variável referente ao custo de R$ 1,25 por hambúrguer para "x" hambúrgueres. A função C(x) é:

[tex]C(x) = 97 + 1,25x[/tex]

Answer:

center of rotation

Answer:

Center of rotation.

Step-by-step explanation:

The center of rotation is the point at which an image turns.

Point D is described as the center of rotation.

Answer:

d) x=25

Step-by-step explanation:

x-16=9

add 16 to both sides canceling out -16 and adding 9 and 16, making it positive 25

after moving 16 to the other side of the =, and adding it to 9 it should look like:

x=25

therefore making the answer x=25

Answer:

3.5 min

Step-by-step explanation:

Answer:

The correct amount is $18

Step-by-step explanation:

The change in her checking account here refers to a reduction in balance due to a deduction made for a gym membership of $18  per year.

Integer, as we know, is a whole number,  not a fraction.

In all fairness, the integer will indicate the change in her checking account due to her gym  membership payment is $18, the first option out of the multiple choices provided

Answer:

hope this is correct

Answer:

Step-by-step explanation:

We have 2 hexagons there, so we need to use the area formula for the large hexagon - the area of the small hexagon. As long as both of these are regular (and they are), we will use the formula

[tex]A=\frac{1}{2}ap[/tex]

where a is the apothem and p is the perimeter of the hexagon.  We'll start with the large one first.

Note that a hexagon has 6 central angles that are all equivalent in degree.  360 / 6 = 60 degrees. Each of those 6 triangles has a vertex angle of 60.  If we extract one of those triangles and then cut it in half by dropping an altitude from the vertex angle to the base of the triangle, we get a right triangle.  The vertex angle is 30, one base angle is 90 and the other is 60. The height of this right triangle is the apothem, for which we want to solve. Using right triangle trig,

[tex]tan(60)=\frac{a}{7}[/tex] The 7 comes from the fact that when we split the triangle in half by dropping an altitude, we not only split the vertex angle in half, we also split the base length in half...from 14 to 7. Continuing,

7 tan(6) = a and

a = 12.124

Filling in the area now for the large hexagon:

[tex]A=\frac{1}{2}(12.124)(84)[/tex] {the perimeter is 6 sides times a length of 4 per side} and

A = 509.208

Now for the small hexagon. We'll do the same thing...extract a triangle and cut it in half by dropping an altitude and solving for a which is the height of the triangle. This half triangle has a base of 3 (half of 6).

3 tan(60) = a and

a = 5.196

Filling in the area now for the small hexagon:

[tex]A=\frac{1}{2}(5.196)(36)[/tex] and

A = 93.528

Now subtract the smaller area from the larger:

509.208 - 93.528 = 415.68

The answer is 1/2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

5600 pounds

Step-by-step explanation:

first find the number of workers attending:

70%of 800 = 560

Next find the number of people attending:

560 x 2 = 1120

Now, Calculate the money raised:

5 X 1120 = 5600

Hope this helps

Good Luck

Answer:

2 kg.

Step-by-step explanation:

F = m * a   (Newton's Second Law of Motion).

10 = m * 5

The mass m = 10/5 = 2 kg.

Solution,

Here,

Given,

Force= 10N

Acceleration= 5m/s^2

Mass= ?

Therefore, as we know that

Force= Mass× Acceleration

10=M×5

10/5= M

Therefore, M= 5kg.

The answer is 9a+3b

please see the attached picture for full solution

Hope it helps...

Good luck on your assignment...

Answer:

3(3a+b)

Step-by-step explanation:

use the distributive property:

15a+5b-6a-2b

combine like terms:

9a+3b:

if you need you can factor:

3(3a+b)

Answer:

Option (1). (6, 0)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (–6, 10)?

(6, 0)

(0, 6)

(−5, 0)

(0, −5)

Line in orange color is passing through two points (-8, 6) and (4, -4)

Slope of this line = [tex]\frac{\triangle y}{\triangle x}[/tex]

                            = [tex]\frac{6+4}{-8-4}[/tex]

                            = [tex]-\frac{10}{12}[/tex]

                            = [tex]-\frac{5}{6}[/tex]

Other line parallel to this line will have the same slope 'm' = [tex]-\frac{5}{6}[/tex]

Parallel line passes through a point (-6, 10).

Let the other point through which the parallel line passes is (a, b)

Now, [tex]-\frac{5}{6}[/tex] = [tex]\frac{10-b}{-6-a}[/tex]

-5(-a - 6) = 6(10 - b)

5a + 30 = 60 - 6b

5a = -6b + 60 - 30

5a = -6b + 30

a = [tex]-\frac{6}{5}b+6[/tex]

By satisfying with all the options we find only (6, 0) satisfy this equation.

6 = [tex]-\frac{6}{5}(0)+6[/tex]

6 = 6

Therefore, (6, 0) is the other point lying on the parallel line.

Option (1) will be the answer.

Answer:

Step-by-step explanation:

The answer was (6,0) I just got it right on my assignment

Answer:

No. of large rooms = 7

No. of small rooms = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

Step-by-step explanation:

capacity of large rooms = 4 people

let the no. of large rooms be x

thus, total no of people which can be accommodated in x rooms = 4*x = 4x

capacity of small rooms  = 3 people

let the no. of small rooms be y

thus, total no of people which can be accommodated in y rooms = 3*y = 3y

total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y

It is given that total small room and large room can accommodate 70 guests

thus,

4x + 3y = 70        _________equation 1

_________________

It is also given that Jose reserved twice as many small rooms as large rooms,

so, if no. of large rooms is x  and no. of small rooms is y

then

y = 2x        _________equation 2

substituting value of y in equation 1 we have

4x + 3(2x) = 70  

=>4x + 6x = 70  

=> 10x = 70

=> x = 70/10 = 7

No. of large rooms = 7

No. of small rooms = y= 2x = 2*7 = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

The number of the small rooms is 14.

The number of large rooms is 7.

Assuming that the number of the large rooms is x,

So, the number of small rooms is 2x

According to the question:

[tex]3[/tex] × [tex]2x[/tex] [tex]+ 4[/tex] × [tex]x = 70[/tex]

[tex]6x+4x=70\\10x=70\\x=7[/tex]

So, 2x = 2(7) = 14

Therefore, the number of the small rooms is 14 and the number of large rooms is 7.

For more information:

https://brainly.com/question/22971109

Answer:

Step-by-step explanation:

An isosceles triangle has two equal sides and two equal base angles.

Given that : AK = KC and MN∥ AC

ΔMNB is similar to ΔACB (congruence property)

ΔANB = ΔANC (SAS congruence property)

ΔCMB = ΔCMA (SAS congruence property)

[tex]\frac{AB}{BN}[/tex] = [tex]\frac{AC}{CN}[/tex] (Angle bisector theorem)

So that:

<BAC = <ACB (base angle property of an isosceles triangle)

/AB/ = /BC/ (side property of an isosceles triangle)

Therefore, ΔABC is an isosceles triangle.

Answer:

idk

Step-by-step explanation:

if not i would help sorry

Answer:

1 answer. (possibly 2)

Step-by-step explanation:

There's [tex]\frac{1}{4}[/tex] chance they get the correct answer for a question.

That means if they answer 4 questions, they can expect 1 answer to be correct. If they answer 6 questions, they can expect 1.5 answers to be correct but you can't have 0.5 of an answer so they can expect 1 question answered correctly.

Answer:

Amy will need to read 1 page each day.

Step-by-step explanation:

Total number of page of the magazine = 137 pages

Read pages of the magazine = 42 pages

Remaining pages to be read = 137 pages - 42 pages  = 95 pages

She spends 10 days reading the same number of pages each day until she finishes.

The number of pages read in each of the 10 days = 95 pages / 10 days

                                                           = 9.5 pages

In 10 days Amy reads 9.5 pages

In a day she reads ?

10 days -----------> 9.5 pages

1 day ----------------> ?

= 0.95 page

approximately 1 page per day

Thus, Amy will need to read 1 page each day.

Answer:

The surface area of the cylinder is 276.32m²

Step-by-step explanation:

To solve this problem we have to calculate the circle area and the lateral area

To calculate the area of ​​the circle we use the following formula

a = area

r = radius = 2m

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (2m)²

a = 3.14 * 4m²

a = 12.56m²

The area of the circle is 12.56m²

To calculate the lateral area of ​​the cylinder we use the following formula

a = area  =

h = heighti = 20m

r = radius = 2m

π = 3.14

a = 2 * π * r * h

we replace with the known values

a = 2 * 3.14 * 2m * 20m

a = 6.28 * 40m²

a = 251.2m²

The lateral area of ​​the cylinder is 251.2m²

Now we add the lateral area of ​​the cylinder with 2 times the area of ​​the circle and obtain the area of ​​the cylinder

251.2m²  + (2 * 12.56m²) = 276.32m²

The surface area of the cylinder is 276.32m²

Answer:

20

Step-by-step explanation:

Answer: D. [tex]6^{30}[/tex]

Step-by-step explanation:

Using exponent rules an exponent to the power of a number will multiply by each other.

So the -4 and -9 will multiply.

The 6 in the numerator will now have a positive exponent of 36.

[tex]\frac{6^{36}}{6^6}[/tex]

Now we can divide and when we do so the exponents will subtract from each other.

So 36 - 6 = 30

And the base of 6 does not change.

The simplified form is [tex]6^{30}[/tex]

Answer: D.

Step-by-step explanation:

Using exponent rules an exponent to the power of a number will multiply by each other.

So the -4 and -9 will multiply.

The 6 in the numerator will now have a positive exponent of 36.

Now we can divide and when we do so the exponents will subtract from each other.

So 36 - 6 = 30

And the base of 6 does not change.

The simplified form is  

[tex]6^{30}[/tex]

Answer:

1920 rings

Step-by-step explanation:

We need to simply find the volume of the package and the volume of the cube and then divide the volume of the package by the volume of the cube.

The package is a rectangular prism. The volume of a rectangular prism is:

V = L * W * H

where L = length

W = width

H = height

The volume of the package is:

16 * 10 * 12 = 1920 [tex]in^3[/tex]

The volume of a cube is:

V = L^3

where L = length of side

The volume of the cube is:

V= 1^3 = 1 [tex]in^3[/tex]

The number of rings the jewelry store received is:

1920 / 1 = 1920 rings

Answer:

18√6  or  44.1

Step-by-step explanation:

3√216= 3√4*9*6=3*2*3√6=18√6 = 44.1

Answer:

I do not think you can simplify it any further

Step-by-step explanation:

If you mean 15p squared - 7 q squared

Because they have different variables; p and q cannot be combined unless it is multiplication or division.

Answer:

36/40

Step-by-step explanation:

Hope you understand this

HAVE A GOOD DAY!