Find the exact value of tan A in simplest radical form.

Answer:

12.5

Step-by-step explanation:

So this is basically a rectangle. You make the 2 triangles a square.

2.5x2.5=6.25

6.25x2=12.5

No, the tangents cannot intersect outside the circle.

When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees.

tangent

a tangent is the line drawn from an external point and passes through a point on the curve.

One real-life example of a tangent is when you ride a bicycle, every point on the circumference of the wheel makes a tangent with the road.

curve

A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

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75 percent

Megan answered 18 questions correctly on a test. That is 75 percent of the total number of questions (24) which were on the test.

Answer:

90

Step-by-step explanation:

90 because it occurs most in the data set.

Answer:

90

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Answer:

well, you didnt give me any numbers or variables, so ill do it like  this. if the container is the size of a pint, and there are 8 runners, and a pint equals 16 fluid ounces, in turn it should end as that each runner gets 2 fluid ounces of energy drink

Step-by-step explanation:

Step-by-step explanation:

AB = DC = 40 - 2x

AD = BC = 30 - 2x

there is not more explanation possible, I think.

we cut off from each side 2 pieces of x cm. so, AB, DC, AD, BC are the the remaining lengths.

the volume of the box is ground area times height (x is the length of the remaining flaps after the cut, so, when folding up these flaps/sides, they will be x cm high).

Volume = y = AB×AD×x

=> y = (40-2x)×(30-2x)×x = (1200 - 60x - 80x + 4x²)×x =

= (1200 - 140x + 4x²)×x = 4x³ - 140x² + 1200x

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = pi (6.5)^2

A =42.25 pi

If we approximate pi by 3.14

A = 42.25 * 3.14 =132.665

If we use the pi button

A = 132.7322896

Answer:

132.73

Step-by-step explanation:

Answer: Angle c is 80 degrees

Equation: 60+40+x = 180

Step-by-step explanation: First of all, know a triangle equals 180 degrees. You add the angles you already know together and then subtract that number from 180. Then you get angle c. :)

Answer: you need more info

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The length of the sides of cube will be;

⇒ 2 cm

A cube is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six squared faces with eight vertices and twelve edges is called cuboid.

Given that;

The surface area of a cube = 24 cm².

We know that;

The surface area of a cube with side 'a' is,

⇒ S.A = 6a²

Here, The surface area of a cube = 24 cm²

Hence, We get;

⇒ 24 = 6a²

⇒ 24/6 = a²

⇒ a² = 4

⇒ a = √4

⇒ a = 2 cm

Thus, The side of cube = 2 cm

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Answer:

[tex] \sf \: 7.31[/tex]

Step-by-step explanation:

Now we have to,

→ round a number to 2 decimal places.

The number is,

→ 7.3084

Let's solve the problem,

→ 7.3084

→ ≈ 7.308

→ [tex] \boxed{ \sf ≈ 7.31} [/tex]

→ ≈ 7.3

Hence, the answer is 7.31.

1.)41 is prime

2.29 is prime

3.87 is composite

4.36 is composite

5.57 is composite

6.61 is prime

7.71 is prime

8.103 is prime

9.39 is composite

10. 91 is composite

By using the triangular inequality, we will get the possible lengths:

a) 6km < x < 16km

b) 0mi < x < 24mi

c) 15yd < x < 30yd

If A, C, and D are the lengths of the sides of a triangle, then the triangular inequality says that:

A + C > D

A + D > C

C + D > a

Now, if the two sides are 5km and 11 km, and the other side is x, then we can write:

x + 5km > 11km

x + 11km > 5km

11 km + 5 km > x

From these inequalities we can get:

16km > x

x > 11km - 5km

x > 6km

Then the possible lengths of the third side are:

6km < x < 16km

b) Now the sides are 12 mi and 12mi, then the inequalities are:

x + 12mi  > 12mi

12mi + 12mi > x

The first one gives:

x > 0mi

The second:

24mi > x

The possible lenghts are 0mi < x < 24mi

c) 25 yd and 10 yd

Here we will get:

25yd + 10yd > x  ----- >  30yd > x

x + 10 yd > 25yd -------> x > 15yd

The possible lengths are:

15yd < x < 30yd

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The length of the line is 5 units.

The distance between two points is the length of the line joining the two points.

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

Given that, endpoints are (-1,4) and (2,0) of the line segment.

The length= √(2+1)²+(0-4)²

                 =5units

Hence, The length of the line is 5 units.

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No, the segments will not form a triangle based on the line segments provided.

For three line segments to form a triangle, they must satisfy the triangle inequality theorem. The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides of the triangle must be greater than the length of the third side.

This is because if the sum of the lengths of any two sides is less than or equal to the third side, it would not be possible to form a triangle with those side lengths, as the two shorter sides would not be able to reach the longer side to form the triangle.

In this case, the sum of the two shorter segments (12 units + 10 units) is 22 units, which is less than the measure of the longest segment (18 units). Therefore, the three segments will not form a triangle.

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An addition inequality to determine how much taller William must be to ride the coaster is, Height of William + x ≥ 42.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Riders must be at least 42 inches tall to ride the coaster, and 'x' be the variable representing how much taller William should be.

Therefore, Height of William + x ≥ 42 is an inequality that may be used to calculate how much taller William has to be in order to ride the coaster.

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38 minutes / 60 minutes = 0.63

The car traveled for 3.63 hours

Speed = distance/ time

Speed = 145 / 3.63 = 39.94 miles per hour

Round the answer as needed.

Answer:

Step-by-step explanation:

.

.

Answer:

10 milligrams of Medication A

Step-by-step explanation:

We'll write proportions/ratios for this:

20:16 is the usual proportion, and x:8 is this week's dose. The ratio from A to B has to be equal, so

20/16 = x/8

Cross-multiply:

(20)(8) = (16)(x)

160 = 16x

divide both sides by 16

x = 10

Please let me know if you have questions about this answer.

Distance of 2/3 from the horizontal axis is 2 for a cartesian plane.

The coordinate system in where the location of a point is identified by a pair of numerical terms and that has two reference axis is termed as cartesian coordinate system.

In cartesian plane the reference axis are named as X - axis and Y -axis.

In this system, location of a point p is identified by p (x, y) that means x is the x coordinate of point p and y is the y coordinate of point p. Generally, X-axis is horizontal, and Y-axis is vertical. Both axes are intersected at the origin.

The point coordinate 2/3 denotes the location of a point with respect to a reference direction in the polar coordinate system. In the polar coordinate system, the angle between horizontal axis and a reference point is called polar angle. we know tan angle = vertical coordinate / horizontal coordinate.

hence, tan angle = 2/3

for this reason, if we imagine a cartesian coordinate system 2 is the y coordinate and 3 is the x coordinate.

Finally, the distance of 2/3 from the horizontal axis is 2.

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Answer:

33.75

Step-by-step explanation:

https://study.com/academy/answer/a-vertical-mast-is-on-top-of-the-building-and-is-positioned-6-from-the-edge-of-the-building-the-mast-casts-a-90-shadow-from-the-front-of-the-building-another-building-24-tall-casts-a-shadow-64.html

Answer:

the answer is 1

Step-by-step explanation:

4(2x-3)=6x+2

8x-12=6x+2

+6x   +6x

14x-12 =2

    +12 +12

14x=14

x=1 and don't worry we all make mistakes

Hello there!

Answer:

x = 39 2/7

Step-by-step explanation:

-14 - 14(x - 26) = -200

- 14 + 14 - 14(x - 26) = -200 + 14

-14(x - 26) = -186

-14(x - 26)/(-14) = -186/(-14)

x - 26 = 93/7

x - 26 + 26 = 93/7 + 26

x = 275/7

x = 39 2/7

Answer:

4(5x-2y)

Step-by-step explanation:

You can only take out the 4 because 20 and 8 are divisible by 4. You also can't take out x because it's only next to the 20 in the equation.

Answer:

17

Step-by-step explanation:

5y - 8 = 9y - 28

-8 = 4y - 28

4y = 20

y = 5

9(5) - 28

45 - 28

17

Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.

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Answer:

Draw a vertical line that goes through the point given.  This will make the two lines perpendicular.  The line given is horizontal, a vertical like would be 90° o the horizontal line.

Step-by-step explanation: