Find the gradient of the line segment between the points (-2,3) and (2,4). Give your answer in its simplest form.

Answer:

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it  sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360  ×   πr²

where Ф is the angle,  r is the radius   π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

Ф =?   area  of the sector= 48 cm²    π = [tex]\frac{22}{7}[/tex]

we can now go ahead to substitute the values into the formula  and solve Ф

area of a sector = Ф/360  ×   πr²

48   =  Ф/360  ×  [tex]\frac{22}{7}[/tex] × (3.5)²

48 = Ф/360  ×  [tex]\frac{22}{7}[/tex] ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

c will prove that b is parallel

Answer:

a. length and width

Step-by-step explanation:

option a is correct answer

Answer:

1.B

2.C

3.D

4.

a)1/9

b)5/12

5.2/5

Step-by-step explanation:

1.

Since there are 15 total outcomes of which 6 are desirable, the probability of randomly getting a red ball is 5/16 or choice B.

2.

Since there are a total of 8+7+6=21 outcomes, out of which 7 are neither red nor green, there is a 7/21=1/3 probability of that outcome, or answer choice C.

3.

Out of the 52 possible outcomes, 12 are face cards. Therefore, the probability of drawing a face card is 12/52=3/13, or answer choice D.

4.

a)

For each die, there are a total of 6 possible outcomes. This means that in total there are 6*6=36 possible combinations. Now, let's do some casework.

If the first die is a 3, then the second die must be a 6. If the first die is a 4, the second die must be a 5. If the first die is a 5, then the second die must be a 4. And if the first die is a 6, then the second die must be a 3. You cannot have any numbers less than 3, because then you would not be able to make the number 9. Therefore, there is a 4/36=1/9 chance of getting a sum of 9.

b)

All of the possible prime numbers that can be formed with the dice are 2, 3, 5, 7, and 11. For 2, there is only one possible situation where this can happen. For 3, there are 2 possible. For 5, there is 4-1, 3-2, 2-3, and 1-4, or 4 possibilities. For 7, there is 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1, or 6 total possibilities. Finally, for 11, there is only 5-6 and 6-5, or 2 possible. In total, the probability of getting a prime sum is 15/36=5/12.

5.

The only numbers which are a multiple of 3 or 5 from 1 to 20 are: 3, 5, 9, 10, 12, 15, 18, and 20. This means that out of the 20 total possible options, 8 of them are a multiple of 3 or 5, which is a total chance of 2/5.

Hope this helps!

Answer:

23 students

Step-by-step explanation:

In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only.

Those that read maths only = 4, Those that read statistic only =7, Those that read statistics and physics only = 3, those that read maths and statistics only = 1.

Therefore those that read all three subjects = 15 - 7 - 3 - 1 = 4

Those that read maths and physics only = 12 - 4 - 4 - 1 = 3

Those that read physics only = 11 - 3 - 4 - 3 = 1

The number students = 4 + 7 + 3 + 1 + 4 + 3 + 1 = 23 students

Answer:

0.75 days (im a bit unsure but i tried my best, hope this helps :) )

Step-by-step explanation:

If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.

8: 560

x: 525

x= 7.5 (which is considered 7)

Then, find how long it takes to sample 525 samples, when 560 are done in 36  hours;

560: 36

525: x

x= 33.75 (which is considered 34 hours)

The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator

8; 34

15; x

it will become

15:34

8: x

x= 18 hours

Divide by 24 for days hence 0.75 days

Answer:

obtuse

Step-by-step explanation:

The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.

Angle COB is 140 degrees, which is Obtuse

Obtuse means between 90 degrees and 180 degrees, exclusive.

Answer:

10

Step-by-step explanation:

15x = 40 + 11x

4x = 40

x = 10

10 tables they would cost the same, so more than 10 tables would make the second company cheaper

Answer:

4.243

Step-by-step explanation:

To calculate the diagonal of a square, multiply the length of the side by the square root of 2:

d = a√2

d = 3√2=4.24264068

Answer:

7 kg and 35kg

Step-by-step explanation:

hope it helps

Answer:

the slope is 4/3

Step-by-step explanation:

use the formula:

m=[tex]\frac{y1-y2}{x1-x2}[/tex]

where x1 and y1 can be any point and x2 and y2 can be any point.

I used the last relation as my x1,y1 and second last relation as my x2,y2 because it is easier to subtract them.

[tex]\frac{10-2}{7-1}[/tex] which is 8/6 or 4/3

Answer:

3

Step-by-step explanation:

I took the test.

Answer:

it had made of two lines including an angle...

Answer:

Brainliest here!

Step-by-step explanation:

Solve using a online calculator

(-16,-7)

Answer:

x= -16, y= -7

Step-by-step explanation:

x= -9+y

-6x+11y= 19

---------

-6(-9+y)+11y=19

54-6y+11y=19

54+5y=19

5y= 19-54

5y= - 35

y= -35/5

y= -7

x= -9+(-7)= -16

Answer:

12 square units

Step-by-step explanation:

formula= a+b/2×h

a=2

b=6

h=3

the answer will be = 2+6/2×3

=8/2×3

=4×3

=12

Answer:

17 square units i think

Answer:

The inverse is 1/4x

Step-by-step explanation:

f(x) = 4x

y = 4x

Exchange x and y

x = 4y

Solve for y

Divide each side by 4

1/4x = 4y/4

1/4x = y

The inverse is 1/4x

Answer:

y=(1/4)*x

Step-by-step explanation:

to inverse set f(x)=4x

as y=4x

next, change places y and x

4y=x

now, solve for y

4y=x

y=(1/4)*x

Answer:

she'll have $9800

Step-by-step explanation:

35 (money in an hour) times 40 (hours each month) is 1400 (money mad in a month)

1400 times 7 (how many months) is 9800

Jacqui have earned $9800 after she’s worked 7 months.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Jacqui makes $35 an hour working as an accounting assistant.

She works 40 hours each month.

Here, number of hours she worked in 7 months

= 40×7

= 280 hours

Total money = 280×35

= $9800

Therefore, Jacqui have earned $9800 after she’s worked 7 months.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ7

Aswer:

[tex]\frac{(x-1)(x-3)}{x-1}[/tex]

Step-by-step explanation:

Answer:

x-3:m=1

Step-by-step explanation:

Answer: Angle w and angle z should equal 92° to prove that r║s

Step-by-step explanation: Let us start by constructing the lines r and s, and then draw a transversal to intersect both lines as stated in the question. At the intersection of lines m and r, we have clockwise from the top angles w, x and the other two blank. This is as shown in the picture attached.

Also at the intersection of lines m and s, clockwise from the top, the angles are 92, y, z and a blank. This is also clearly marked in the picture attached.

If the two lines r and s are parallel, then it means;

(1) Angle 92 is equal to angle z (opposite angles are equal)

(2) Angle z is equal to the blank underneath angle x (corresponding angles on two parallel lines are equal)

(3) Angle 92 is equal to the blank underneath angle x (alternate angles on two parallel lines are equal)

(4) Angle 92 is equal to angle w (corresponding angles on two parallel lines are equal)

Therefore, of all four angles marked as w, x, y and z angles w and z should equal 92° to prove that line r is parallel to line s.

Answer:

Its W i took the test and got a 100

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

You have 6x^2 - 7x-20, you add and take 8x so now you have

6x^2 - 7x +8x -8x -20 now you take 6x^2  and the +8x and factorize

6x^2 +8x = 2x( 3x +4 )

and you have -7x -8x-20 = -15x -20 factorize

-5(3x +4 ) add all up.

2x(3x +4) -5(3x +4) and you have

(3x+4)(2x-5)

Answer:

Each apple pie requires 8 apples, and each apple tart requires 4 apples.

Step-by-step explanation:

We see that both Pamela and Nicole bake the same amount of apple pies, but different amounts of apple tarts. Because of this, we can subtract the two to try to figure out the amount of apples for each apple tart. We subtract 68 from 76, giving us 8. Nicole baked 9 apple tarts, while Pamela baked 7, and 9-7=2. So we can bake two apple tarts with 8 apples, so one apple tart requires 4 apples (we divide by 2). Now that we know the amount of apples per each apple tart, we multiply 7 apple tarts that Pamela made by 4 apples, giving us 28. We subtract that from the total amount of apples Pamela used, which was 68, giving us 40. From this we can deduct that 5 apple pies need 40 apples, and we divide by 5, giving us 1 apple pie requires 8 apples.

Answer:

A) -6x+3y = 27

B) -5x-3y = -16 We add the 2 equations

-11x = 11

x = -1

Putting 1 into equation B)

5 -3y = -16

-3y = -21

y = 7

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

1+5=6

6-8=-2

4x-2=-8

Answer:

8

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)

The experimental probability that the next person to take a seat will have blond hair is 1/3.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.

So, the experimental probability that the next person to take a seat will have blond hair is:

P(blond) = 3/(3+6) = 3/9 = 1/3.

Learn more about probability here:

brainly.com/question/11234923

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Answer:

5< 10x -3

add like terms first

make sure X's are on one side and numbers on the other

Answer:

5  < 10x - 3

Step-by-step explanation:

5 - 2x < 8x - 3?

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5  < 10x - 3

Answer:

if we assume that

tan = opp/adj

then we can find the hypotenus by using phytagoras law

h² = o² + a²

h² = (m-1)² + (2√m)²

h² = m² - 2m + 1 + 4m

h² = m² + 2m + 1

then we factorized become

h² = (m + 1)²

h = m+1

so for sin x = opp/hyp = (m-1)/(m+1)

hope this can help you.

Answer:

(A)∠A = 82.2°,∠C = 62.8°, c = 17.1

Step-by-step explanation:

In Triangle ABC

∠B=35°

a=19

b=11

Using Law of SInes

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} \\\dfrac{19}{\sin A} =\dfrac{11}{\sin 35^\circ} \\11*\sin A=19*\sin 35^\circ\\\sin A=(19*\sin 35^\circ) \div 11\\A= \arcsin [(19*\sin 35^\circ) \div 11]\\A=82.2^\circ[/tex]

Now:

[tex]\angle A+\angle B+\angle C=180^\circ\\35^\circ+82.2^\circ+\angle C=180^\circ\\\angle C=180^\circ-[35^\circ+82.2^\circ]\\\angle C=62.8^\circ[/tex]

Using Law of Sines

[tex]\dfrac{c}{\sin C} =\dfrac{a}{\sin A} \\\dfrac{c}{\sin 62.8^\circ} =\dfrac{19}{\sin 82.2^\circ}\\c=\dfrac{19}{\sin 82.2^\circ}*\sin 62.8^\circ\\\\c=17.1[/tex]

Therefore:

∠A = 82.2°,∠C = 62.8°, c = 17.1

The correct option is A.

Answer:

it is a

∠A = 82.2°,∠C = 62.8°, c = 17.1

Step-by-step explanation:

give the other dude brainliest he is correct

Answer:

No

Step-by-step explanation:

Every x value in the domain should only have 1 y value. In the graph, for x=5 (the input) there are 2 y values (6 and -6) so this is not a function.

Answer:

no

Step-by-step explanation:

it fails the vertical line test.  there is more than 1 y value per x value

they intesect at line a

Answer:

(1,1)

This is the answer

Answer:

1/4

Step-by-step explanation:

there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4