A metal washer has an outer diameter of 14mm and an inner diameter of 6mm.Use the value of 3.14 for the to find the area of the metal washer

Given:

The equation is:

[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]

To find:

The error in the given equation and correct it.

Solution:

We have,

[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]

Taking left-hand side, we get

[tex]L.H.S.=(2x+3y)(2x-3y)[/tex]

[tex]L.H.S.=(2x)^2-(3y)^2[/tex]                 [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]L.H.S.=(2)^2(x)^2-(3)^2(y)^2[/tex]       [tex][\because (ab)^x=a^xb^x][/tex]

[tex]L.H.S.=4x^2-9y^2[/tex]

It is not equal to right-hand side [tex]4x^2+6y^2[/tex]. In the right hand side, there must be a negative sign instead of positive sign.

Therefore, [tex](2x+3y)(2x-3y)=4x^2-6y^2[/tex].

Answer:

196,836,571.6 miles²

Step-by-step explanation:

the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere

surface area of a sphere = 4πr²

π= 3.14

r = 7,917.5 / 2 = 3958.75 miles

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

4 x 3.14 x 3958.75² = 196,836,571.6 miles²

Answer: The final value is 10

Step-by-step explanation:

We are given:

[tex]4\tan 45^o+(2\sin 45^o)(6\cos 45^o)[/tex]

We know that:

[tex]\tan 45^o=1\\\sin 45^o=\frac{1}{\sqrt{2}}\\\cos 45^o=\frac{1}{\sqrt{2}}[/tex]

Putting values in the given equation, we get:

[tex]\Rightarrow (4\times 1)+(2\times \frac{1}{\sqrt{2}})\times (6\times \frac{1}{\sqrt{2}})\\\\\Rightarrow 4+(\frac{2\times 6}{2})\\\\\Rightarrow (4+6)\\\\\Rightarrow 10[/tex]

Hence, the final value is 10

First off we need to use the formula S = rΘ

S - is the arc length

Θ - is theta which is the radian measure

r - is the radius

In this problem we need to find r

So, our equation would look like:

S ÷ Θ = r

Before we solve though, we need to convert the degrees to radians:

To convert from degrees to radians, multiply the degrees by π/180° radians:

60 x π/180 = 1.0472

If you input the numbers you get:

10.2 / 1.0472 = 9.740

The radius is 9.7 yards.

The roots of a graph are also known as the x-intercepts. If you use a graphing tool to graph the given equation you will be able to see the x- intercepts. For the answer the question is asking what the x cordinates of the x intercepts are. I think the answer is (0,2,-2) but im not sure so you should check my work.

Answer:

15c+70b[tex]\leq[/tex]112000

Step-by-step explanation:

Truck could carry 7000 pounds.

There are 15 ounce cans and 70 ounce bottles.

There are 'c' number of 15 ounce cans and 'b' is the number of 70 ounce bottles.

So, C number of cans can  carry 15C ounces

'b' number of bottles can carry 70b ounces

So, we can set up inequality as

15c+70b[tex]\leq[/tex]112000

Answer:

Rhombus

Step-by-step explanation:

Rhombus: A quadrilateral with four congruent sides and two pairs of parallel sides.

Answer:

n = 28 degree

Step-by-step explanation:

2n + 17 + 2n - 5 + 2n = 180 degree (sum of interior angles of a triangle)

6n +12 = 180

6n = 180 - 12

n = 168/6

n = 28 degree

Answer:

$8.39 por pe rsona

Step-by-step explanation:

Answer:

3675

Step-by-step explanation:

Answer:

No the shop did not meet the 65 mean.

Step-by-step explanation:

The mean is the same thing as the average of the sales. So the first six months sales were 52, 82, 71, 92, 51, and 28. the average of these six numbers is 62.66667 which is short of the 65 mean.

52+82+71+92+51+28=376

take that number 376 and divide by the number of months (6)

376/6=62.66667

Answer:

x =52

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.  (Exterior Angle Property)

x+72 = 90+34

x+72 = 124

x+72-72 = 124 - 72

x =52

Answer:

See below and attached

Step-by-step explanation:

Let the number of paintings is x and the number of mugs is y.

We have following inequalities:

The graphical solution is attached.

The solution is:

Answer:

35[tex]\sqrt{2}[/tex]

Step-by-step explanation:

This scenario can be represented and solved by drawing a triangle. The hypotenuse of the triangle represents the ramp which has a length of 70 feet. The angle between the hypotenuse and the leg of the triangle that is parallel to the ground is 45 degrees. Since we know that this is a right triangle, we can conclude that this is a 45-45-90 degree right triangle. We can use the ratios of the sides of special right triangles to solve the problem from here. We know that the two sides and the hypotenuse of a 45-45-90 triangle can be represented as x, x, and x[tex]\sqrt{2}[/tex] respectively. This means that the hypotenuse of 70 feet is equal to x

Then we solve the following equation:

x[tex]\sqrt{2}[/tex] = 70        

x = [tex]\frac{70}{\sqrt{2} }[/tex]

x = [tex]\frac{70}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }[/tex]    

x = [tex]\frac{70\sqrt{2} }{\sqrt{4} }[/tex]

x = [tex]\frac{70\sqrt{2} }{2}[/tex]

x = [tex]35\sqrt{2}[/tex]

This means that each side of the triangle has a length of [tex]35\sqrt{2}[/tex] so that is also the height of the end of the ramp from the ground.

Answer:

[tex]\text{A. }4:81[/tex]

Step-by-step explanation:

Since surface area consists of the sum of the outer faces of each polygon, the ratio of the two surface areas will be equal to the ratio of the side lengths squared (since we multiply them to get area).

The ratio of the corresponding side lengths of the solids are [tex]2:9[/tex]. Therefore, the ratio of their surface areas must be [tex]2^2:9^2=\boxed{4:81}[/tex]

Answer:

A

Step-by-step explanation:

i hope this helped i tried

Answer:

a. x=9

b. PR = 59

Step-by-step explanation:

a. 11x-40 = 6x+5

11x-6x=5+40

5x=45

x=9

b. PR = 11(9) -40

= 99-40

= 59

Answer:

A= 43.393 rounded

Step-by-step explanation:

A=2πrh

A= 2 [tex]\pi[/tex] 1.625 (4.25)

A= 13.8125[tex]\pi[/tex]

or

A= 43.393 rounded

Answer:

Yes the answer is indeed 60%

the answer is 60% so you are correct

Answer:

Probability of an event = 1 / 10

Step-by-step explanation:

Given:

Total number of people in particular area = 1,600

Number of people vaccinated = 160

Find:

Probability[people vaccinated]

Computation;

Probability of an event = Number of favorable outcomes / Total number of outcome

Probability of an event = 160 / 1600

Probability of an event = 16 / 160

Probability of an event = 1 / 10

Answer:

4,8,12 hope that helps heeeeheheʘ‿ʘ

Answer:

x = 7.75

Step-by-step explanation:

To solve this equation for x, start by consolidating the constant terms on the right side:  Add 7.25 to both sides, obtaining:

3x = 16 + 7.25, or

3x = 23.25

Dividing both sides by 3, we get        x = 7.75

Answer:

x = 7.75

Step-by-step explanation:

3 x - 7.25 = 16

3 x = 16 + 7.25

3 x = 23.25

x = 23.25/3

x = 7.75

Answer:

∅ ≈ 34º

Step-by-step explanation:

sin = opp/hyp

∅ = arcsin opp/hyp

∅ = arcsin 14/25

Use calculator

∅ = 34.055797742567906

∅ ≈ 34º

Answer:

is 55

Step-by-step explanation:

×[tex]\frac{x}{1}*\frac{14}{25}[/tex]⇒0.56

cos0.56

55

Answer:

7250.66

Step-by-step explanation:

Answer:

153.86

Step-by-step explanation:

So first off, what is the formula for finding area of a circle?

Its [tex]\pi r^{2}[/tex]

We know that r(radius), is the distance from one point of the circle to its center.

In this case it is 7.

Note that in other cases, you might see a line going strait through the middle of the circle.

This is the diamater, and is 2x the radius. If you see the diamater, divide it in half, and you will find radius.

Now, back to the problem.

We know our radius is 7, so lets plug that into [tex]\pi r^{2}[/tex]:

[tex]\pi *7^{2}[/tex]

=

[tex]\pi *49[/tex]

=

153.93

So tecnically, this test is wrong. THe actual answer is .07 bigger than what they give.

However, it is the only possible answer, so it is correct.

Answer:

153.86

Hope this helps!

Answer:

4.50

Step-by-step explanation:

[tex] \sin(40) \times 7 = 4.499513268[/tex]

round it up

[tex] = 4.50[/tex]

Answer:

ㄥBEC=70；ㄥABE=160

Step-by-step explanation:

(x-5)+(3x-5)+90=180

x-5+3x-5+90=180

4x+80=180

4x=100

x=25

ㄥBEC=3*25-5=70

ㄥABE=180-(25-5)=160

Answer:

56.3 =c

44.1 =a

Step-by-step explanation:

Using the law of sines

sin 102        sin 28

----------  = ----------

c                 27

Using cross products

27 sin 102 = c sin 28

Divide by sin 28

27 sin 102

------------   = c

sin 28

56.25470702= c

Rounding to the nearest tenth

56.3 =c

To find a

We need Angle A

A = 180 - 102 -28

A = 50

sin 50        sin 28

----------  = ----------

a                 27

Using cross products

27 sin 50 = a sin 28

27 sin 50

------------   = a

sin 28

44.0563425= a

Rounding to the nearest tenth

44.1 =a

Answer:

9,-4

Step-by-step explanation:

-9×4=-36

Negative × Positive = Negative