The area of a circle is 30.85cm2. Find the length of the radius rounded to 2 DP

Step-by-step explanation:

29 + 33 = 62

6 + 7 > 12

number one is 33

number two is d = 7

Answer: c=33 and d=7

Step-by-step explanation:

Answer:

25 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

15^2 + 20 ^2 = x^2

225+400= x^2

625 = x^2

Take the square root of each side

sqrt(625) = sqrt(x^2)

25 = x

Answer:

9)m≤54

11)x>30

13)y≤40

Step-by-step explanation:

9)m−18≤36

Add 18 to both sides.

m≤36+18

Add 36 and 18 to get 54.

m≤54

11)9x>270

Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.

x=270/9

Divide 270 by 9 to get 30.

x>30

13)y/5≤8

Multiply both sides by 5. Since 5 is positive, the inequality direction remains the same.

y≤8×5

Multiply 8 and 5 to get 40.

y≤40

Answer:

58 degrees

Step-by-step explanation:

We know that angles on a straight add up to 180 degrees. Therefore:

To find the angle at the top of the triangle do 180-112 = 68

To find the angle at the right side of the triangle do 180 - 126 = 54

We know that angles in a triangle add up to 180 degrees. Therefore:

To find m do 180 - (54 + 68) = 58

Answer:

98 bracelets

Step-by-step explanation:

Number of days, n = 6

Evan:

= 10 + 8(n - 1)

= 10 + 8(6 - 1)

= 10 + 8(5)

= 10 + 40

= 50 bracelets

Dorinda

= 8n

= 8(6)

= 48 bracelets

Total bracelets they will make in all = Evan + Dorinda

= 50 + 48

= 98 bracelets

This doesn’t include the Einstein problem cause I didn’t have that one.

Answer:

1)0.125

2)127.825

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

delta math

its 200.456 before rounding

Answer:

C

Step-by-step explanation:

first we want to find the missing angle at the top

to do that we subtract the given angles by 180

the square indicates that the angle is a right angle or that it equals 90

180-90-40=50

we know that the angle equal to 50 and x are supplementary angles so they will add up to equal 180 so to find x we subtract 50 from 180

180-50-130 so the answer is c

have a great day :D

Answer:

There are no statements

Step-by-step explanation:

If you put up the statements, I'll edit my answer

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

Answer: [tex]-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Step-by-step explanation:

Given

[tex]\vec{a}=2\hat{i}+4\hat{j}-5\hat{k}\\\vec{b}=\hat{i}+\hat{j}+\hat{k}[/tex]

[tex]\vec{c}=\hat{j}+2\hat{k}[/tex]

The addition of the three is [tex]\vec{a}+\vec{b}+\vec{c}[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=(2\hat{i}+4\hat{j}-5\hat{k})+(\hat{i}+\hat{j}+\hat{k})+(\hat{j}+2\hat{k})[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=3\hat{i}+6\hat{j}-2\hat{k}[/tex]

vector opposite to the vector  [tex]\vec{a}+\vec{b}+\vec{c}\ \ \text{is}\ -(\vec{a}+\vec{b}+\vec{c})[/tex]

[tex]\therefore -(\vec{a}+\vec{b}+\vec{c})=-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Answer:

Step-by-step explanation:

Sales tax = $750 × 0.08375 = $62.8125

Answer:

[tex]\boxed {\boxed {\sf \$62.81}}[/tex]

Step-by-step explanation:

To find the sales tax, multiply the price by the tax rate.

[tex]sales \ tax=price * tax \ rate[/tex]

The price of the TV is $750 and the tax rate is 8.375%, but we must convert it to a decimal. Divide by 100 or move the decimal place two spots to the right.

Substitute the values into the formula.

[tex]sales \ tax= 750*0.08375\\sales \ tax= 62.8125[/tex]

Round to the nearest cent, which is the hundredth place. The 2 in the thousandth place tells us to leave the 1.

[tex]sales \ tax = 62.81[/tex]

The sales tax on the TV is approximately $62.81.

Answer:

This does not explain

Step-by-step explanation:

...

Answer:

26

Step-by-step explanation:

With some trial and error I found out that the square equals 5 and the circle equals 7. Now to find the triangle, I used the second equation. It was ⬜+⭕+⭕+⛛+⛛ = 27

So I put in the numbers in place of the square and circle:

5+7+7+⛛+⛛ = 27

5+7+7 = 5+14=19

27-19=8

So now we know that 2⛛=8

So I did 8 ÷ 2 = 4. ⛛=4

So we know that ⛛ = 4, ⭕ = 7, ⬜ = 5

Lets solve: ⬜ + ⬜ + ⬜ + ⭕ + ⛛ = ?

Translating into: 5 + 5 + 5 + 7 + 4 = 26

So our final answer is 26.

Answer:

Sample Response: To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses. The products are 2(11) and 2(y). The equivalent expression is 22 + 2y

Step-by-step explanation:

you're welcome

Answer:

if you want the area, then:

area = 35.625 in^2   or 35 5/8 in^2

if you want the perimeter, then:

perimeter = 30.05 in  or 20 1/16 in

Step-by-step explanation:

area of left side triangle = 3.75(5)(0.5) = 9.375 in^2

middle rectangle = 5.5(3.75) = 20.625 in^2

right side triangle  = 3(3.75)(0.5) = 5.625 in^2

total area = 35.625 in^2

right side^2 = (3.75)^2 + 3^2

right side = 4.80

perimeter = 5.5+4.8+8.5+5+6.25 = 30.05 in

Answer:

t=-19/7

Step-by-step explanation:

you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7

we know that anything divided by itself is 1 so we get -19/7=t

This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.

Answer:

1/2

Step-by-step explanation:

hope this helps!

Answer:

22

Step-by-step explanation:

180 - 90 - 68

Answer:

22

Step-by-step explanation:

Answer:

40 Square Units

Step-by-step explanation:

Easy way to find area: Diagonal 1 * Diagonal 2 divide by 2 = your answer

Diagonal 1 (AC) = 5 + 5 = 10

Diagonal 2 (BD) = 4 + 4 = 8

10 + 8 = 80, 80/2 = 40

Answer: 40 square units

Answer:

#1

Surface area is the sum of 3 rectangles and 2 triangles:

#2

Surface area is the sum of 1 square and 4 triangles:

Answer: 1,000 products

Step-by-step explanation:

If 20 out of 800 products are found to be defective, the percentage of defective products would be:

= 20 / 800

= 2.5%

At this same rate of 2.5%, if there are 40,000 products instead of 800, the number of defective products would be:

= 2.5% * 40,000

= 1,000 products

Answer:

m∠2=9

Step-by-step explanation:

Hello There!

The problem states that the angles are complementary angles

Complementary angles are angles that have measures that add up to equal 90

So given one of the angles we can find the missing angle by subtracting the known angle from 90

90 - 81 = 9

so we can conclude that the measure of angle 2 is 9

Answer:

C. 1796.08 [tex]in^2[/tex]

Step-by-step explanation:

Area of circle is [tex]\pi r^2[/tex], r is the radius

remember radius is from the center to the edge, so it is half the diameter

now we need to find the area of the large circle (table) minus the small circle (hole)

the radius of the large circle is 48/2 which is 24

the area is [tex]\pi 24^2[/tex] replacing r in the formula with 24, the radius. Using 3.14 as pi, the answer is 1808.64

the radius of the small circle is 4/2 which is 2

the area is [tex]\pi 2^2[/tex] so the calculated value would be 12.56

now subtract the area of the hole (small circle) from the area of the table (large circle)

1808.64 - 12.56 = 1796.08

and there's your answer

hope that helps, lmk if it doesn't :)

Answer:

Step-by-step explanation:

r₁ = radius of tabletop = 24 in

r₂ = radius of hole = 2 in

area of hole = πr₂² = 4π in²

area of tabletop = πr₁² - πr₂² = 576π - 4π = 572π ≈ 1796.08 in²

Answer:

The answer is 116

Step-by-step explanation:

Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.

Answer:

116°

Step-by-step explanation:

There are 2 right angles so we add them:

1 right angle = 90°

2 right angle: 90° + 90° = 180°

As we can we have another value which is 64° so we add that as well:

180° + 64° = 244°

Since it is a 4-sided shape all the values will add up to 360°

Subtract 360 and 244

360° - 244° = 116°

x = 116°

Hope this helps