Solve equation for 3(2x - 5) - (2x - 5) = 6(4x + 5)​

Answer:

3/4 acre

Step-by-step explanation:

1 1/1 = 3/2

3/2 ÷ 2 = 3/2 × 1/2 = 3/4

The sine law of triangles can be proved by dividing the triangle into right-triangles.

Option (c) proves the first equality in the law of sines​

From the question, we have:

h equals to the distance from point C to segment AB

The sine of angle is:

[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]

For angle at A, we have:

[tex]\mathbe{\theta = A}[/tex]

[tex]\mathbf{Hypotenuse = b}\\\mathbf{Opposite = h}[/tex]

So, we have:

[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]

Substitute values for Opposite, Hypotenuse and theta

[tex]\mathbf{sin A = \frac{h}{b}}[/tex]

Similarly

[tex]\mathbf{sin B = \frac{h}{a}}[/tex]

Make h the subject

[tex]\mathbf{h = a\ sinB}[/tex]

Substitute [tex]\mathbf{h = a\ sinB}[/tex] in [tex]\mathbf{sin A = \frac{h}{b}}[/tex]

[tex]\mathbf{sin A = \frac{a\ sinB}{b}}[/tex]

Divide both sides by a

[tex]\mathbf{\frac{sin A}{a} = \frac{sinB}{b}}[/tex]

Hence, the correct option is (c).

Read more about proof of sine law at:

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Answer:

first most option is the answer

Answer:ok A is the correct answer for this test I did this plz trust me give brainpower plz

Step-by-step explanation:

Answer:

Your answer would be 2/10

Step-by-step explanation:

So first do -1/4 + 3/8 which is 0.125 in decimal form if you prefer to do decimal way

Next: 5/8 is 0.625

Finally: 0.125 divided by 0.625 is 0.2 which in fraction form is 2/10

Hope this helped

Answer:

100 mins/ 1 hour 40 mins

Step-by-step explanation:

if 5 hens are known to lay 5 eggs then each hen lays 1 egg a minute

so multiply 1 by 100

and 100 time 1 equals 100

Answer: (1, 3)

Step-by-step explanation:

There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it.  For the sake of simplicity, I will solve it without the pythagorean theorem.

As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically.  Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.  

Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)

Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.

Answer:

Step-by-step explanation:

Coordinates of A and B:

The partition ratio:

Coordinates of P are:

Answer:

8% is the sales tax rate

Step-by-step explanation:

I'm not the best with math but the way I found the answer was by first using my local sales tax rate and determining how much the tax would be.

490 * 8.75% = 42.875

Knowing that this amount was higher than in the equation, I lowered the sales tax to 8% (0.08)

490 * 8% = 39.2

Hope this was somewhat helpful

The magnitude of the vector to two decimal places is 11.40 units

The formula for calculating the magnitude of the vector is expressed as:

[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2 }[/tex]

Given the coordinate points  (-3, 4) and (6, -3)

[tex]D=\sqrt{(-3-4)^2+(6+3)^2 }\\D=\sqrt{(-7)^2+9^2}\\D=\sqrt{49+81}\\D=\sqrt{130}\\D= 11.40[/tex]

Hence the magnitude of the vector to two decimal places is 11.40 units

Learn more here: https://brainly.com/question/20759497

500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.

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

Explanation:

s = number of pairs of shoes

50s = amount spent on shoes ($50 per pair)

50s+400 = total amount spent on shoes and uniforms

That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s

We have enough info to determine the answer must be choice B

We can stop here if you wanted.

----------

Let's solve that equation for s

500 = 400 + 50s

400 + 50s = 500

50s = 500-400 .... subtract 400 from both sides

50s = 100

s = 100/50 .... divide both sides by 50

s = 2

This means he can buy 2 pairs of shoes.

Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.

Answer:

area of triangle = 1/2×base×height

=1/2×20m×6m

= 20m×6m=120square metre

Step-by-step explanation:

all such triangles inscribed into a circle with their baseline being the diameter of the circle, must be right-angled. the 90 degree angle is at C.

the other thing is that the sum of all angles in a triangle is always 180 degrees.

so,

B = 180 - 90 - 20 = 70 degrees

Answer:

Step-by-step explanation:

Add up the given equations t eliminate y and solve for x:

Your choice is correct

bro i read it wrong that's my bad hold on ill get the right one rq

Answer:

Below in bold.

Step-by-step explanation:

y = 40 degrees ( opposite angles)

The triangle on the left is isosceles so

2x + 2x + 40 = 180

4x = 140

x = 35 degrees.

Answer:

I'm only guessing its $25.76 but just to classify you should probably ask

Answer:

attached

Step-by-step explanation:

Answer:

Turning point coordinates: (1,4)

Roots: -1, 3

y = - (x - 1)^2 + 4

Step-by-step explanation:

CAN YOU BRAINLEST ME THANK YOU

HOPE IT HELPS YOU

money

shopping

dividing

Answer:

D. 16

Step-by-step explanation:

Step-by-step explanation:

Answer:

Jake cuts the board into pieces that measure .75 feet each. Before cutting the board, it is 8.25 feet long. So, we must divide 8.25/.75 to find out how many pieces of board jake cut.

8.25/.75= 11 pieces

Since he makes $15.95 per sign, and there are 11 signs, we must multiply 15.95 by 11. This is equal to 175.45.

Therefore, jake can earn $175.45

Step-by-step explanation:

Can you give me brainliest?

Answer:

Step-by-step explanation:

120 +-20 =(100 ; 140) -> X±k*σ= 100 =>k=1

According to Chebyshev, approximately 66.67% of the data lie within one standard deviation of the mean

->66.67%*560 = 373 products in (100;140)

Answer: 150?

Step-by-step explanation:

150 -> 200 200-150=50

150-> 150 200-150=50

Answer:

$200,000

Step-by-step explanation:

They all won $10,000,000 and

each person got a 0.02 share of the $10,000,000

Each person received

10,000,000*0.02 = $200,000

Answer:

1 < x < 7

Step-by-step explanation:

1. Solve for 2(x - 3)

Step 1: Simplify both sides of the equation.

Step 2: Add 6 to both sides.

Step 3: Divide both sides by 2.

2. Solve for x + 5 > 6

Step 1: Subtract 5 from both sides.

3. Now that we know x is more than one but less than 7, we can write the solution as this: 1 < x < 7.

Therefore, the answer is 1 < x < 7.

Answer: 1. Solve for 2(x - 3) Step 1: Simplify both sides of the equation. Step 2: Add 6 to both sides. Step 3: Divide both sides by 2. 2. Solve for x + 5 > 6. Step 1: Subtract 5 from both sides.

Step-by-step explanation:

Answer

Xét f'(x)=0, tìm các giá trị x, lập bảng biến thiên

Đồ thị:

Step-by-step explanation:

Step-by-step explanation:

there are 36 (6×6) possible results and number combinations for 2 dice.

a)

to create a sum of 4 we need one of the following combinations :

1 3

2 2

3 1

so, 3 out of the overall possible 36 possibilities.

and that means the probability is 3/36 = 1/12

b)

to create a sum of 7 we need one of the following combinations :

1 6

2 5

3 4

4 3

5 2

6 1

so, 6 out of the overall possible 36 possibilities.

and that means a probability of 6/36 = 1/6

c)

since the possible outcomes in that regard are only 2 (even and uneven), with equal balance the probability is 1/2.

make it more formal ?

to get an even sum, every possible number on one die can be combined with 3 possibilities on the other.

1 can be combined with 1, 3, 5

2 with 2, 4, 6

3 with 1, 3, 5

4 with 2, 4, 6

5 with 1, 3, 5

6 with 2, 4, 6

these are 6×3 = 18 combinations of of the possible 36.

so, the probability is 18/36 = 1/2

d)

not a 6 ?

so, what does that mean ?

we are looking only at 5 possible outcomes per die.

that is 5×5 = 25 combinations out of the possible 36.

that means that probabilty is 25/36.

e)

not a perfect square ?

we have in the range of the possible sums with 2 dice (2 .. 12) only two perfect squares : 4 and 9

so, the sum must NOT be 4 AND NOT be 9.

so, here it might be easier to count the unwanted cases and then deduct the probability from 1 to express the opposite.

the combinations to get 4 we have already under a)

3 combinations with 3/36=1/12 probability.

the combinations to get 9

1 none

2 none

3 6

4 5

5 4

6 3

so, 4 combinations with a probability of 4/36 = 1/9

therefore, we have (3+4) = 7 cases out of the possible 36 we actually want to avoid.

so, the probability to get any one of the other (desired) combinations is therefore (36-7)/36 = 29/36

The probabilities are:

The probability for a given outcome is given by the quotient between the number of combinations that give that outcome and the total number of combinations.

Here each dice has 6 possible outcomes, so the total number of combinations for the two dice is:

6*6 = 36 combinations.

a) Here we need to count how many combinations add to 4, the notation I will use is:

dice 1   dice 2

1              3

3               1

2               2

There are 3 combinations that add to 4, then the probability of getting a sum equal to 4 is:

P = 3/36 = 0.083

b) Same thing as before, this time we count the combinations that add to 7.

dice 1   dice 2

1               6

6               1

5               2

2               5

4                3

3                4

There are 6 combinations that add to 7, so the probability is:

P = 6/36 = 0.167

c) The possible even numbers are: {2, 4, 6, 8, 10, 12}

A way of doing this, is:

If the first dice is even/odd, then the second also must be even/odd.

Then the probability is just 1/2  = 0.5 (because there are the same number of odd and even numbers in a dice).

d) The sum must not be equal to 6, the combinations that add up to 6 are:

dice 1   dice 2

2            4

4             2

3             3

1              5

 5            1

So 5 combinations add up to 6, then there are 31 combinations that do not add up to 6, this means that the probability of not getting a sum equal to 6 is:

P = 31/36 = 0.861

e) The perfect squares are 4 and 9, we already know that 3 combinations add up to 4, now let's find the combinations that add up to 9.

dice 1   dice 2

6             3

3              6

5              4

4               5

So 4 combinations add up to 9, then there is a total of 7 combinations that give a perfect square, then there are 29 combinations that do not add to a perfect square.

The probability is:

P = 29/36 = 0.806

If you want to learn more about probability, you can read:

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