1. y=3x+6 2. y=-2x+4 3. y=1/2x-6 4. y=2/3x 5. y=-4x+1/8​

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

5/6 +1/3 +1/2+3/4

Make sure they have a common denominator

In this case the common denominator is 12

So..

5/6 ×2/2...1/3×4/4...1/2×6/6...3/4×3/3

10/12+4/12+6/12+9/12

=29/12

=2&5/12 grams/pounds/ounces?

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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tell rafel to be careful , he might get diabetes

Step-by-step explanation:

Answer:

D.

(-7, 3)

Step-by-step explanation:

Given equation

y - 3 = 4(x + 7)

points are in form of (x,y) that is first value represent value of coordinate and

second value y represents value of y coordinates.

to find which point lies on given line equation we need to substitute value of x and see if value of y obtained is same as given in the option or not.

______________________________________

A.

(7, 3)

substituting x with 7 in the equation

y - 3 = 4(7 + 7)

=> y - 3 = 4(14)

=> y - 3 = 56

=> y = 56+3 = 59

Thus, we see value of y when x is 7 is 59

which is not equal to 3 as given in option A hence option A is not correct choice

B.

(7, -3)

As seen above for x = 7 , y is 59 hence option B is also incorrect

C.

(-7, -3)

substituting x with -7 in the equation

y - 3 = 4(-7 + 7)

=> y - 3 = 4(0)

=> y - 3 = 0

=> y = 0+3 = 3

Thus, we see value of y when x is -7 is 3

which is not equal to -3 as given in option C hence option C is not correct choice

D.

(-7, 3)

As calculated above value of y when x is -7 is 3

hence

option D is correct choice.

1. The trigonometric ratios are given as follows:

2. The equation to solve for x is given as follows: sin(52º) = x/13.

3. Two equations to solve for m are given as follows:

4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.

5. The lengths are given as follows:

The three trigonometric ratios are given as follows:

In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m, as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

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we have the inequality

-4x+3y> 6

isolate the variable y

3y > 4x+6

y>(4/3)x+2

The solution of the given inequality is the shaded area above teh dashed line y=(

Answer:

I think its B or C

Step-by-step explanation:

Answer:

m<2 = 155

m<3 = 25

Step-by-step explanation:

m<1 and m<2 are supplementary angles so their sum is equal to 180 degrees

m<1 is given as 25 so the measure of m<2

180 - 25 = 155

m<2 and m<3 are also supplementary now since we found the measure of m<2

180 - 155 = 25

m<1 and m<3 are alternate angles and has same measure so that would also work to find the measure of m<3

Answer:

1. False

2. True

3. True

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. False   3/10 x 5 = 15/50 not 12/50

2. True    1/2 x 2 = 6/12

3. True    5/6 x 2 = 10/12

4. True    5/7 x 3 = 15/21

5. False   3/8 x 2 = 6/16 not 6/15

Answer:

to be real it looks like c

Step-by-step explanation:

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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The probability that an athlete that is getting into a fight has a tattoo is 0.80

Let the events be represented as:

So, the probabilities are given as:

\(P(A\ n\ B) = 40\%\)

\(P(A) = 50\%\)

The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)

So, we have:

\(P(B | A) = \frac{P(A\ n\ B)}{P(A)}\)

Substitute known values

\(P(B | A) = \frac{40\%}{50\%}\)

Cancel out the percentages

\(P(B | A) = \frac{40}{50}\)

Divide 40 by 50

\(P(B | A) = 0.80\)

Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80

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Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Answer:

450

Step-by-step explanation:

150* 3

hope this helps

Answer:

450

Step-by-step explanation:

150 feet in 1/3 min

? -----  1 min

150 * 1 = x * 1/3

x = 150 * 3

= 450

The percent of the bags of chips weigh less than 176 grams is b 16%

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

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

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Answer:

50 kg

Step-by-step explanation:

got deleted last time so here we go again

divide net force by the accaleration to get 50

Answer:

She should start making the batter at 1:17 p.m.

Step-by-step explanation:

The cake will take 46 minutes to bake. Subtract that time from 2:41 p.m to get 1:55 p.m. Subtract 38 minutes from that to get 1:17p.m. That is the answer I got. Good luck :)

Answer:

Step-by-step explanation:

kinda confusing but ill do my best :/

if what youre saying is m(x) = -4 like x = -4 then do this

plug in -4 for x and solve

 = 2(-4) - 10

  = -8 - 10

 = -18

or are you saying like the whole equation is equal to -4 and we need to solve for x do this

plug in -4 for 'y'

-4 = 2x - 10

then solve for x

6 = 2x

3 = x

sorry if this is confusing but i hope this helps <3

Answer:

80

Step-by-step explanation:

18^2 + 80^2 = 82

324 + 160 = c^2

Answer:

80 cm

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem which is a^2 + b^2 = c^2. We are given that a = 18, and c as the hypotenuse equals to 82. We can plug these numbers into the theorem:

18^2 + b^2 = 82^2

324 + b^2 = 6724

b^2 = 6400

b = 80 cm

The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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Answer:

B. is the right answer

Step-by-step explanation:

Because I just know

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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Answer:

the area should be 3 centimeters around the square

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i think this is right     if not it would be 2

Answer:

537

Step-by-step explanation:

Triangle DAC is congruent to triangle BCA by SAS congruence theorem.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that, AD = BC and AD || BC.

AD = BC (Given)

AD || BC (Given)

AC = AC (Reflexive property)

∠DAC=∠BCA (Interior alternate angles)

By SAS congruence theorem, ΔDAC≅ΔBCA

By CPCT, AB=CD

Therefore, triangle DAC is congruent to triangle BCA by SAS congruence theorem.

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