The area of a circle is 99.88cm2.
Find the length of the radius rounded to 2 DP.
r =
cm
What is the length of the radius rounded to 2dp

Answer:

\(\huge\boxed{x\approx11.1}\)

Step-by-step explanation:

Use cosine:

\(cosine=\dfrac{adjacent}{hypotenuse}\)

We have:

\(adjacent=x\\\\hypotenuse=15\\\\\theta=42^o\)

Substitute:

\(\cos42^o=\dfrac{x}{15}\\\\\cos42^o\approx.7431\\\\\dfrac{x}{15}=0.7431\qquad|\text{multiply both sides by 15}\\\\15\!\!\!\!\!\diagup\cdot\dfrac{x}{15\!\!\!\!\!\diagup}=15\cdot0.7431\\\\x=11.1465\\\\x\approx11.1\)

Answer:

x = 105 degrees

Step-by-step explanation:

First, figure out the interior angle, we can do this ading the two angles and then subtracting the sum from 180 (since the interior angle of a triangle adds up to 180 degrees)

180 - (55 + 50) = 75

next, we can figure out x by taking the sum (75) and subtracting that from 180 since it is a supplementary angle:

180 - 75 = 105

x = 105

Answer:

105 degrees!

Step-by-step explanation:

all the angles in a triangle must add to 180.

50+55= 105

therefore, the missing angle would be 75

x+75 must also add to 180 so the answer would be: 105 because 75+105= 180

Hope this helps!!

Answer:

2

Step by Step Explanation

Keep Change Flip

3/4x8/3=24/12=2

Answer:

2

Step-by-step explanation:

3/4 divided by 3/8

3/4 x 8/3

cross simplify to get

1/4 x 8/1

cross simplify again to get

1 x 2 = 2

Answer:

0

Step-by-step explanation:

When x=6

f(6) =(6)2-2(6)=12-12=0

Answer:

firstly... substitute x for 6 in the equation..

=(6)2 -2(6)

=12-12=0

Answer:

They intersect at (-4,-3)

Step-by-step explanation:

hope that helps

The annual sales is 322,511.6 in 4 years.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Record sales are increasing by 6% each year.

And, 260,090 records were sold this year.

Now, We have;

Record sales are increasing by 6% each year.

Hence, After 4 years;

The annual sales = 260,090 + 4 × 6% of 260,090

                           = 260,090 + 4 × 6/100 × 260,090

                           = 260,090 + 62,421.6

                           = 322,511.6

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Answer:328,358

Step-by-step explanation:

The opposite of -1 is 1

The opposite of 0 is 0

The opposite of the opposite of -7 is -7

Based on the given conditions, the lock solution is 205.

To solve the lock, to calculate the total score based on the given conditions:

Crocus: + 20

Daffodil: + 25

Snowflake: - 50

Tulip: + 30

Bird-Red: + 25, else + 10

Calculating the scores for each input:

TULIP: +30

CROCUS: +20

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

CROCUS: +20

Total score = 30 + 20 + 25 + 30 + 25 + 30 + 25 + 20 = 205

Therefore, the solution for the lock is 205.

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Image transcribed:

SPRING NOW LOADING.

<IF CROCUS, THEN +20>

<IF DAFFODIL, THEN +25>

<IF SNOWFLAKE, THEN -50>

<IF TULIP, THEN +30>

<IF BIRD-RED, THEN +25, ELSE + 10>

TULIP

CROCUS

DAFFODIL

TULIP

DAFFODIL

TULIP

DAFFODIL

CROCUS

Solve Lock

its c

Step-by-step explanation:

Answer:

Around 37.78 percent.

Step-by-step explanation:

The percent increase is equal to the decimal portion of the fraction (15.50-11.25) / 11.25. When you calculate 4.25/11.25, you get 0.37777 repeating. So the answer when rounded to the nearest hundredth is 37.78 percent.

Answer:

10/12 is the answer to your question

5/6 = 10/12

10/12 = 10/12

compare and we get the same value, so 10/12 is our answer

Answer:

10/12

Step-by-step explanation:

This can simply be expressed as

10/12

divide both sides by 2

=5/6

The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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Answer: 17 bags

Step-by-step explanation:

425/25= 17

The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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Answer:

this equation has no solution

Step-by-step explanation:

Using the subtraction operation, the number of flowers with 10 petals that Mrs. Moth picked was 6.

A subtraction operation is one of the four basic mathematical operations, including addition, division, and multiplication.

The subtraction operation involves the minuend, the subtrahend, and the difference.

The minuend is the number or value being subtracted from by the subtrahend.  The result of a subtraction operation is known as the difference.

The total number of picked flowers = 24

The number of flowers with 9 petals = 6

The number of flowers with 8 petals = 7

The number of flowers with 3 petals = 5

The total number of flowers identified = 18 (6 + 7 + 5)

The number of flowers with 10 petals = x

x = 24 - 18

= 6

Thus, 6 flowers had 10 petals out of the 24 Mrs. Moth picked.

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Answer:

\((0,-5)\)

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Point (-4, -9)

Point (4, -1)

Step 2: Find midpoint

Answer:

Equation- 7,250 divided by 500

Answer- 15

Step-by-step explanation:

thanks google for letting me look this up! ;)

Answer:

s = 7,250/500

Step-by-step explanation:

If you want a smoke detector every 500 feet you divide the total amount (7,250) into (s) many 500 foot spaces. This means that you could also divide 7,250 by 500 ft to get s or the number of smoke detectors needed.

Answer:

Option 1

Step-by-step explanation:

\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)

The temperature at 2:00 PM will be 73 degrees

What is temperature ?

Coldness and hotness is measured by temperature which is one of the fundamental units of measurements.

Here, it is given that the temperature at sunrise was 61 degrees and it is find the temperature at 2 P.M which as increase by 12 degrees. Now calculating it by adding 61 degree with 12 degrees :

the temperature at 2:00 PM = 61 degrees + 12 degrees = 73 degrees

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Answer:

132235

Step-by-step explanation:

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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to keep it simple 0.014

to keep it long but sort of simple

0.0138888888888889

Answer:

0.0138, 8 is repeating

Step-by-step explanation:

Answer:

18394

Step-by-step explanation:

9197 × 2 = 18394 You double 91972

to work out the profit in December

Answer:

Step-by-step explanation:

First term = a =4

Common difference = d = 2nd term - first term

d = 8 - 4 = 4

Last term = l = 400

First we have to fin the number of terms 'n'

l = a + (n-1)d

4 + (n-1)*4 = 400

4 + 4n- 4 = 400

      4n = 400     {Divide both sides by 4}

         n = 400/4

n = 100

\(S_{n}=\frac{n}{2}(a + l)\\\\ = \frac{100}{2}*(4+400)\\\\=50 * 404\\\\= 20200\)

Answer:

20200

Step-by-step explanation:

a=1  ×  4=4

a=2  ×  4=8

a=3  ×  4=12

a = 4  × 4 = 16

400 = 4 + ( n - 1 ) 4]

400 = 4 + 4n - 4

4n = 400

400 / 4n

n = 100

100 / 2 [ 4 + 400 ]

50 [ 404 ]

50 × 404

= 20200

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer: 55000 grams

Step-by-step explanation:

Answer:

d1 - d2 ≈ 9917.4 feet ≈ 3021 meters

Step-by-step explanation:

tan(19°) = 7425/d1

tan(37°) = 7425/d2

Solving for d1 and d2, we get:

d1 = 7425/tan(19°) ≈ 22977.6 feet

d2 = 7425/tan(37°) ≈ 13060.2 feet

Therefore, the distance the plane traveled from point A to point B is:

d1 - d2 ≈ 9917.4 feet ≈ 3021 meters