What is the measure of θ in radians?
In the diagram, θ is a central angle.

Answer:

cm for centimeters, km for kilometers.

If 2.5cm → 15 km, then

 17.5 cm → x km

x= (15km*17.5cm)/(2.5cm)=105 km

Step-by-step explanation:

Answer:

There will be 200g of aluminium.

Step-by-step explanation:

We use a rule of three to solve this question.

However, the relationship between the variables are inverse, which means that we use an inverse rule of three. This means that we are going to multiply the values laterally, instead of diagonally(cross multiplication).

We have these following relationships:

600g aluminum - 40g tim

xg aluminium - 120g tin

Multiplying laterally:

[tex]120x = 600*40[/tex]

[tex]x = \frac{600*40}{120}[/tex]

[tex]x = 200[/tex]

There will be 200g of aluminium.

Final Answer:

When there is 120 grams of tin, there will be 200 grams of aluminum.

Explanation:

In problems involving inverse variation, the formula that describes the relationship between two variables (in this case, aluminum and tin) is as follows:
k = xy
where:
- k is the constant of variation,
- x is the amount of aluminum, and
- y is the amount of tin.
Given that there are 600 grams of aluminum when there are 40 grams of tin, we can use these values to find the constant of variation (k). We can set up the equation and solve for k with the given values.
[tex]\[ k = 600 \text{ grams of aluminum} \times 40 \text{ grams of tin} \\\\\[ k = 24000 \text{ (constant of variation)} \][/tex]
Now that we have the constant of variation, we know this constant remains the same even when the amounts of aluminum and tin change, providing the inverse relationship is maintained.
Now we want to find out how many grams of aluminum there will be when there is 120 grams of tin. We set up the inverse variation formula and solve for x now that y is given as 120 grams:
k = xy
Given that k = 24000 from our previous calculation, we find x:
[tex]\[ x = \frac{k}{y} \\\\\[ x = \frac{24000}{120} \\\\\[ x = 200 \text{ grams of aluminum} \][/tex]
Therefore, when there is 120 grams of tin, there will be 200 grams of aluminum.

Answer:

1) 65:1

2) 65 to 1

3) 65

1 ( this is a fraction)

Answer:

49

Step-by-step explanation:

if you multiply 7 by itself it would equal 49

The expression 7 by the power of 2 when evaluated in standard form has a value of 49

From the question, we have the following parameters that can be used in our computation:

7 to the power of 2

Express as an equation

So, we have

7 to the power of 2 = 7²

When expanded, we have

7 to the power of 2 = 7 * 7

Evaluate the products

This gives

7 to the power of 2 = 49

Hence, the solution is 49

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Answer:

6! = 6*5*4*3*2*1  =  30*12*2 = 30*24 = 720

3! * 2! =  3*2*1 * 2*1  = 6*2 = 12

6! / 3! =  720 / 12 = 60

Step-by-step explanation:

6! = 6*5*4*3*2*1  =  30*12*2 = 30*24 = 720

3! * 2! =  3*2*1 * 2*1  = 6*2 = 12

6! / 3! =  720 / 12 = 60

The value of the expression will be 6! = 720, 3! • 2! = 12, and 6! / 3! = 120.

The factor of n is given as the production of the number n, (n - 1), (n - 2), ..., and 1. Then the factorial of n is given as

n! = n x (n - 1) x (n - 2) x ... 3 x 2 x 1

The expressions are

6! = 6 x 5 x 4 x 3 x 2 x 1

6! = 720

3! • 2! = 3 x 2 x 1 x 2 x 1

3! • 2! = 6 x 2

3! • 2! = 12

6! / 3! = 720 / 6

6! / 3! = 120

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Answer:

Step-by-step explanation:

No of total brown = 2 + 1 = 3 .

probability = 3 / 6

= 1 /2 .

no of males = 2

probability

= 2 / 6

= 1 /3

no of person who is both male and brown = 1

probability = 1 /6

Required probability

= probability of being brown + probability of being male - probability of being both

= 1 / 2 + 1 / 3 - 1 /6

= 4 / 6

= 2 / 3 .

Final answer:

The probability of a friend getting a puppy that is male, brown, or both is 2/3, which is calculated by adding the probability of getting a male puppy and a brown puppy, then subtracting the probability of the overlap (brown male).

Explanation:

The student's question concerns the probability of a friend receiving a puppy that is male, brown, or both, given the conditions of the puppies provided. To calculate this probability, we consider all possible favorable outcomes divided by the total number of outcomes. There are 2 males (1 brown, 1 white) and 4 females (2 brown, 4 total), making a total of 6 puppies. A friend can receive either a male puppy (2 out of 6) or a brown puppy (3 out of 6, since we do not count the brown male twice). Thus, the probabilities need to be added together and the intersection (the brown male counted in both categories) subtracted to avoid overcounting.

We calculate the probability as P(Male) + P(Brown) - P(Brown and Male) = 2/6 + 3/6 - 1/6 = 4/6 or 2/3. Therefore, the probability of a friend getting a puppy that is male, brown, or both is 2/3.

Answer:

4.55%

Step-by-step explanation:

To find the percentage of deaths in relation to the number of cases confirmed, we just need to divide the number of deaths by the number of cases confirmed.

So we have that:

Percentage = Deaths / Cases

Percentage = 170 / 3739

Percentage = 0.0455 = 4.55%

The percentage of deaths in relation to the number of cases is 4.55%

Answer:

Overcapitalization

Step-by-step explanation:

Answer:

ab

Step-by-step explanation:

Answer:

Option D : ab

Step-by-step explanation:

correct on e2020

Answer:1 over 5 to the 9th power (1 over 1953125).

Step-by-step explanation:

5^-6/5^3 hard to show fractions and exponents, but since 5^-6 is a negative exponent you must flip in, or put it on the bottom. So now you have 1 over 5 to the 9th power(1/5^9), or more simplified 1 over 1953125(1/1953125).

Answer:

1/5 to the 9 power

Step-by-step explanation:

Answer:

1/9 chance

Step-by-step explanation:

3 options and 3 choices probability of picking orange juice is 1/3 chance and probability of pickinkg a medium is 1/3 chance so you multiply dem to get 1/9

Answer:

x = 17

Step-by-step explanation:

These angles are supplementary so (2x + 5) + (8x = 5) = 180 then you just do the algebra

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Answer:

You chose the right answer

y = [ -6 + 2 root(6)]/5   or  y = [-6 - 2 root(6)]/5

Step-by-step explanation:

from  (5y + 6)^2 = 24

we can take the square root of both sides

(5y + 6)  =  + root(24)  or   (5y + 6) = -root(24)

5y + 6 =  2*root(6)     or  5y + 6 = - 2 root(6)

y = [ -6 + 2 root(6)]/5   or  y = [-6 - 2 root(6)]/5

Answer:

a

Step-by-step explanation:test on e

Answer:4/9

Step-by-step explanation:

12/27 simplified is 4/9

(12 is for the boys 27 is the number of students)

Answer:

The answer is C : a cylinder with a base radius of 9 inches

Step-by-step explanation:

The area is 270² inches,  and to find the area of a rectangle is width × length . So the equation would be 270 = W × L, which would convert to 270 = W × 15 and 15 times 18 equals 270. But that is not thew answer because you would need top find the radius of the cylinder which is half of the width of the rectangle which means the radius is 9. So the answer is a cylinder with a base radius of 9 inches.

The resulting three dimensional shape is a cylinder with base radius 9 inches. Option c is correct.

A rectangle ABDE is given with area 270 inches and side AB =15 inches.
This rectangle is rotated about a line passes C and F where C and F is mid points of BD and EA respectively. The shape formed to be determine.

3D or three dimensions is define as when an object is an arbitrary space that its measure obtains on x, y and z axes.

Here,
Area of rectangle ABDE = 270
AB x BD = 270
15 x BD =270
BD = 270/15
BD = 18
Now C is mid point of BD so BC = 18/2
BC = 9
When the given rectangle rotate about CF the new 3d shape arise will  be a cylinder with radius 9 inches.

Thus, the resulting three dimensional shape is a cylinder with base radius 9 inches.

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The sequence g(n) is a geometric sequence with an explicit formula of g(n) = (2/3)^n * 900 grams.

The sequence g(n) represents the amount of contaminants (in grams) that remains at the beginning of the nth hour. Each hour, a third of the contaminants is filtered out. To determine whether g(n) is an arithmetic or geometric sequence, we need to examine the change in the amount of contaminants from one hour to the next.

Let's look at the first few terms of the sequence:

From the pattern, we can see that each term of g(n) is obtained by multiplying the previous term by 2/3. Therefore, g(n) is a geometric sequence.

The explicit formula for the sequence g(n) can be written as g(n) = (2/3)^n * 900 grams.

Answer:

[1] [1] [175]

[2.5] [0.75] [262.5]

# of hotdogs sold was 75

# of chips sold was 100

Step-by-step explanation:

got it right on edge ya digg

The number of hot dogs is 75 while the number of snacks is 100.

The linear equation to solve the question will be:

h + s = 175 ........ i

2.50h + 0.75s = 262.50 ........ ii

From equation i, s = 175 - h ..... iii

Put equation iii into ii

2.50h + 0.75s = 262.50

2.50h + 0.75(175 - h) = 262.50

2.50h + 131.25 - 0.75h = 262.50

Collect like terms

2.50h - 0.75h = 262.50 - 131.25

1.75h = 131.25

h = 131.25/1.75

h = 75

The number of hot dogs is 75 while the number of snacks is 100.

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Answer:

1. w = nr

2. His wage is £52.00

Step-by-step explanation:

1. Given that wages is a function of number of hours worked multiplied by hourly rate

Where n represents hours and r represents rate.

Wage formula is as follows;

Wage (w) = hours (n) * rate (r)

w = n * r

w = nr

2. If he worked 5 hours at a rate of £10.40 per hour

This means

n = 5

r = 10.40

His wage is as follows;

w = nr

w = 5 * £10.40

w = £52.00

Hence, his wage is £52.00

Final answer:

Explanation of Gordon's wages formula and a calculation example for working 5 hours at a specific rate.

Explanation:

The formula for calculating Gordon's wages, w, is given by multiplying the number of hours he works, n, by his hourly rate, r.

A formula for Gordon's wages: w = n * r

Wages earned by Gordon working 5 hours at a rate of £10.40 per hour:

Substitute n = 5 and r = £10.40 into the formula:

w = 5 * £10.40

= £52

The wage Gordon would earn if he worked 5 hours at a rate of £10.40 per hour is £52.

Answer:

-23.8857

Step-by-step explanation:

1+1+2= 4

4/35+6= 6.11429

6.11429-30= -23.8857

Final answer:

To determine the page numbers, the product of two consecutive page numbers (n and n+1) was calculated to match 87,912, leading to the solution that Theo's textbook was opened to pages 296 and 297.

Explanation:

To find out to which pages Theo opened his textbook, when the product of the facing pages was 87,912, we should realize that facing pages in books have consecutive numbers. Therefore, if one page is n, the facing page would be n+1. The product of these two pages is n(n+1)= 87,912. We are solving a quadratic equation here.

Starting with an approximation, square roots of numbers near 87,912 can help identify potential page numbers. The square root of 87,912 is a bit less than 300 (since 300² = 90,000). Therefore, one of the page numbers will be just under 300, and the other just above.

Attempting a few calculations, we notice that 296² = 87,616 and 297² = 88,209. Between these two, 296 × 297 = 87,912, giving us the page numbers Theo's book is open to: 296 and 297.

Answer:

The median amount of money raised is $5.00

Step-by-step explanation:

To find the median amount of money raised, we will follow the steps below:

First, arrange the data giving in ascending order. That is

$6.00, $7.00, $4.00, $5.00, $3.00

We will arrange it in ascending order, hence

$3.00, $4.00, $5.00,  $6.00, $7.00

The median is the middle number, we will now proceed to take the middle number.

The middle number is $5.00

Therefore, the median amount of money raised is $5.00

The median amount of money raised by the 5 families is $5.00.

To find the median amount of money raised by the 5 families, we first need to arrange the amounts in ascending order:

The median is the middle number in a sorted, ascending or descending, list of numbers. Since there are 5 numbers, the median is the third number in this ordered list. Therefore, the median amount of money raised is $5.00.

Answer:

10 batches

Step-by-step explanation:

3/4 cups = 1 muffins

15/2 cups = x muffins

For x muffins,

3/4 × X = 15/2 × 1

3x × 2 = 15×4

6x = 60

Divide both sides by 6

6x/6 = 60/6

X = 10

Hence 10 batches of muffins will be made from 15/2 cups of nuts.

IL is a diameter, which is a straight line, which is equal to 180 degrees.

The arc of IL would be 180 degrees

You are told the arc of KL is 30 degrees.

The major arc of ILK would be 180 + 30 = 210 degrees.

Answer:

t = 4 x 9 + 7

Step-by-step explanation:

Answer:

Can u send picture with it pls so i can figure it out?

What are the two shapes

Step-by-step explanation:

rectangle: length times width

triangle:  base times height divided by 2

parallelgram: Base times height

square: side times side

*If you get it right then follow me on roblox: Supertasticgg

and sub to Flamingo

ANd almost forgot trapezoid: base 1 + base 2 times by height then divide with 2

Answer:

I believe it’s C

Step-by-step explanation:

let me know if right if am mark brainliest pls

Answer: x=2

Use math-way and put 3x+4/6x-2=9/9

Answer:

y+2=3/4(x+5)

Step-by-step explanation:

The first step is to find the slope of the line. Between the two points, the line rises from a y value of -2 to a y value of 4, or a total rise of 6 units. It also goes to the right from an x value of -5 to an x value of 3, which is a total of 8 units. 6 units of rise over 8 units of run is a total slope of 6/8=3/4. Now, you can use the point slope form for either one of the points (I'll use the leftmost one).

y+2=3/4(x+5)

Hope this helps!

One answer in point slope form: y + 2 = (3/4)(x + 5)

Answer in slope intercept form: y = (3/4)x + 7/4

Answer in standard form: 3x-4y = -7

===============================================

Explanation:

First we need the slope of the line

Find the slope of the line through (x1,y1) = (-5,-2) and (x2,y2) = (3,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - (-2))/(3 - (-5))

m = (4 + 2)/(3 + 5)

m = 6/8

m = 3/4

-------

Plug m = 3/4 and (x1,y1) = (-5,-2) into the point slope formula. Solve for y.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-5))

y + 2 = (3/4)(x + 5)

y + 2 = (3/4)x + (3/4)*5 ... distribute

y + 2 = (3/4)*x + 15/4

y + 2 - 2 = (3/4)*x + 15/4 - 2 ... subtract 2 from both sides

y = (3/4)x + 15/4 - 8/4

y = (3/4)x + (15-8)/4

y = (3/4)x + 7/4

This equation is in slope intercept form y = mx+b

m = 3/4 is the slope, b = 7/4 is the y intercept

-------

Multiply both sides by 4 to help convert to standard form

y = (3/4)x + 7/4

4y = 3x+7

-7 = 3x-4y

3x-4y = -7

This is in the form Ax+By = C

A = 3, B = -4, C = -7