Calculate the length of side x.
Give your answer correct to 3 significant figures.

Given:

On a circle, UT and UV are two tangent

Measure of arc VT = 125 degrees.

To find:

The measure of angle TUV.

Solution:

Intersecting tangents theorem: According to this theorem, if two tangent are drawn to the circle then the measure of angle on the intersection is half of the difference of intercepted major arc and minor arc.

We know that the measure of complete arc of a circle is 360 degrees. So,

[tex]\text{Major arc}(VT)=360^\circ -\text{Minor arc}(VT)[/tex]

[tex]\text{Major arc}(VT)=360^\circ -125^\circ[/tex]

[tex]\text{Major arc}(VT)=235^\circ[/tex]

Using Intersecting tangents theorem, we get

[tex]m\angle TUV =\dfrac{1}{2}(\text{Major arc}(VT)-\text{Minor arc}(VT))[/tex]

[tex]m\angle TUV =\dfrac{1}{2}(235^\circ -125^\circ )[/tex]

[tex]m\angle TUV =\dfrac{1}{2}(110^\circ )[/tex]

[tex]m\angle TUV =55^\circ[/tex]

Therefore, the measure of angle TUV is 55 degrees.

Answer: D

Step-by-step explanation: please give me it!

Answer:

maybe the bottom right one?

Step-by-step explanation:

Answer:

-8100

Step-by-step explanation:

(2/5)^-2(-3)^4

Given data

and second term

The first term=  (2/5)^-2  and

Second term=(-3)^4

Simplify the first term

(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2

=1/4/ 1/25

=1/4*25/1

=100

Simplify the second term

=(-3)^4

= -81

Hence, 100*81

=-8100

9514 1404 393

Answer:

  D.  x = 15; y = 5√3

Step-by-step explanation:

You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.

Since x < 10√3, only answer choices A and D are viable.

Since y < 10√3, only answer choice D is viable.

_____

If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.

  x = 15; y = 5√3

Answer:

Step-by-step explanation:

Tyler's square is going to be 60 feet on each side. That is 3600 square feet.

Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.

A is wrong. A square maximizes the area.

B is correct.

C The areas are not the same. C is wrong.

D is wrong. Both fence proposals work.

Answer:

B is correct

Explanation:

Tyler's square is going to be 60 feet on each side. That is 3600 square feet.

Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.

Hope this helps! :)

2x-5=7

2x=12

x=6

hopefully its helpful

Answer:

21.07 m²

Step-by-step explanation:

Please find the complete question in the attached image

Area of shaded region = area of rectangle - area of semicircle

Area of semicircle = [tex]\frac{1}{2}[/tex]πr²

π = 3.14

r = radius = 14/2 = 7m

the diameter of the semicircle is 14m , thus the radius would be half of the diameter

(1/2) x 3.14 x 7² = 76.93 m^

Area of a rectangle = length x width

width = radius of semicircle = 7

14 x 7 = 98 m²

Area of shaded region =  98 m² -  76.93 m^ = 21.07 m²

Answer:

Area of square=81 cm^2. ✳But area=side^2. ✳81=s^2

Answer:

Assuming the question is wanting to know the area of a square with sides of 81 inches each, the answer would be

6561 inches squared

Step-by-step explanation:

if each side of the square is 81 inches, you multiply

81 x 81 = 6561

Answer:

dividing # by 100

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

1÷1000=

.001

Moved 3 points to the left

5+2/4-0=7/4

7/4=y+2/×-0

y=7x/4-2

Answer:                              

y+2=7/4(x+0)

Answer:

A = 1124 cm²

V = 840 cm³

Step-by-step explanation:

Assuming the prism is a triangular prism,

Applying,

V = 1/2bhL.................. Equation 1

Where V = volume of the prism, L= lenght of the prism, b = base of the triangle, h = height of the triangle

From the question,

Given: L = 28 cm, 12 cm, h = 5 cm

Substitute these values into equation 1

V = (5×12×28)/2

V = 840 cm³

Surface area (A) = bh+(a+b+c)L

A = (5×12)+(13+13+12)28

A = 60+1064

A = 1124 cm²

Answer:

50 % alcohol solution = 10 millimetres

30 % alcohol solution = 90 millimetres

Step-by-step explanation:

two equations can be derived from this question

x + y = 100 equation 1

0.3x + 0.5y = 100 x 0.32 = 32

0.3x + 0.5y = 32 equation 2

where :

x = 30% alcohol solution

y = 50% alcohol solution

multiply equation 1 by 0.3

0.3x + 0.3y = 30 equation 3

subtract equation 3 from 2

0.2y = 2

y = 10

substitute for y in equation 1

x + 10 = 100

x = 100 - 10

x = 90

Answer:

8 phone calls

Step-by-step explanation:

Eduardo spent 4 minutes on the phone while routing 2 phone calls. In all, how many phone calls does Eduardo have to route to spend a total of 16 minutes on the phone? Solve using unit rates.

From the above question:

4 minutes = 2 phone calls

16 minutes = x

Cross Multiply

4 minutes × x = 16 minutes × 2 phone calls

x = 16 minutes × 2 phone calls/4 minutes

x = 8 phone calls

Therefore,

Eduardo has to route 8 phone calls to spend a total of 16 minutes on the phone

Step-by-step explanation:

n(s) for 2 cubes =6×6=36

n (5, even) = 3

(5,2) (5,4) & (5,6)

so, probability = 3/36 = 1/12

Answer:

A. A'(3,9); ect

Step-by-step explanation:

correct on edg.

Answer:

equation of the line is y =  -  [tex]\frac{11}{2}[/tex] x- 52

Answer:

Step-by-step explanation:

Jackie   you should know that  the supplemental angles always add to 180°  :)

That's like angles  1 & 2  or   55° & 1  .  both are supplemental and add to 180°

Knowing this should make answering this pretty easy. :)

180 = ∠1 + 55

125 = ∠1

∠3 =∠1

∠2 = 55°

since line g is parallel to f , we know all the angles in the same places of line f are identical... got it?

Answer:

0.50

Step-by-step explanation:

The question states at least 2 which means 2 or more.

The only applicable numbers to look at would be 2 and 3.

First of all we find 2 since it's missing.

Now all probability distributions must add up to 1.

As we can see there are 0.20, 0.30 and 0.40 which is equal to 0.90. Therefore 1 - 0.90 = 0.10 which would be 2.

Hence, the peobability that x is at least 2 is 0.10 + 0.40 = 0.50.

Answer:

3yz^3 + 1

Step-by-step explanation:

t(5x^3yz^2) = 15x^3y^2z^5 + 5x^3yz^2

t = [5x^3yz^2(3yz^3 + 1)]/5x^3yz^2

t = 3yz^3 + 1

Answer:

C is the answer

Step-by-step explanation:

i randomly found out

The geometric construction in option (C) depicts a ray.

In mathematics, a ray is a segment of a line with a fixed starting point but no ending. It can go on forever in a single direction. A ray cannot be measured since it has no end point.

In the given geometric construction,

Diagram A, shows a parallelogram. Therefore, is not a ray.

In diagram B there is no starting point, it shows a line. Therefore, it is also not a ray.

In diagram C, there is a starting point and no ending point.

Depicts that this geometric construction is a ray.

Diagram D shows the line segment.

Hence, Diagram C depicts a ray.

To know more about Ray on:

https://brainly.com/question/6107207

#SPJ2

Answer:

it is the hilighted one the one besides it and below it

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

your height is 14, Given

Your surface area for the top face is 14

the way to make 14 from two factors is 7 and 2

therefore your height is 5 your width is 7 and your depth is 2

Answer:

[tex]x=7,\\m\angle LKN = 84^{\circ}[/tex]

Step-by-step explanation:

1. For KM to be the angle bisector of angle LKN, it must be bisect LKN into two equal angles. Therefore, we have the following equation:

[tex]9x-21=6x,\\-21=-3x,\\x=\boxed{7}[/tex]

2. Substituting [tex]x=7[/tex]:

[tex]\angle LKN=9x-21+6x=9(7)-21+6(7)=63-21+42=\boxed{84^{\circ}}[/tex]

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

[tex]\frac{3}{1}[/tex] is equivalent to [tex]\frac{6}{2}[/tex] because 3 x 2 = 1 x 6 = 6. 93 is equivalent to [tex]\frac{6}{2}[/tex] because 9 x 2 = 3 x 6 = 18. 124 is equivalent to [tex]\frac{6}{2}[/tex] because 12 x 2 = 4 x 6 = 24.

Answer:

Height = 6 feet

Step-by-step explanation:

Given the following data;

Base area = 25½ ft²

Volume = 153 ft³

To find the height of the right rectangular prism;

Mathematically, the volume of a right rectangular prism is given by the formula;

Volume = base area * height

Substituting into the formula, we have;

153 = 25½ * height

153 = 51/2 * height

Cross-multiplying, we have;

306 = 51 * height

Height = 306/51

Height = 6 feet

Right rectangular prism is also called cuboid. The height of the right rectangular prism considered is evaluated as of 6 ft

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

For this case, we're provided that:

Let the length and width of the prism be L ft and W ft

Let the heigth of the prism be H ft

Then, we get:

Thus, we get:
[tex]H \times 25.5= 153\\\\\text{Dividing both the sides by 25.5}\\\\H = \dfrac{153}{25.5} = 6 \: \rm ft[/tex]

Thus, the height of the right rectangular prism considered is evaluated as of 6 ft.

Learn more about volume of a right rectangular prism here:

https://brainly.com/question/21308574

Answer:

D - the slope will be at 25

Step-by-step explanation:

Taking the first two values

slope = (y2 - y1) / (x2 - x1) = (125 - 100) / (3 - 2) = 25 / 1 = 25

answer=1/4

explanation ; 6divided by 3/8=0.25    which is equal to 25/100 or 25 divides 25 once and divides 100  4 times giving 1/4