Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect

at point V. Find the values of x and y. If necessary, round to the nearest tenth.

AN

x = 11.6

y = 11.6

= 11.6

y= 23.2

x = 18.3

y = 36.6

Answers

Answer 1

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

[tex]TQ$ X TP=TR^2[/tex]

[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

Secant TP And Tangent TR Intersect At Point 7. Chord SR And Chord PQ Intersectat Point V. Find The Values

Related Questions

A square pyramid is sliced parallel to the base and halfway up the pyramid.
Which of these describes the cross section?

A square smaller than the base
A quadrilateral that is not a square
A square the same size as the base
A triangle with a height the same as the pyramid

Answers

Answer:

A square smaller than the base

Explanation:

A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.

The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.

This means it can be sliced horizontally or vertically and this would result in different shapes.

If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.

Answer:

the first one

Step-by-step explanation:

I don’t understand how to do this problem. How would I solve it?

Answers

Answer:

About 2.569 seconds

Step-by-step explanation:

To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula [tex]v_f=v_o+at[/tex], where [tex]v_f[/tex] is the final velocity, [tex]v_o[/tex] is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):

[tex]0=5+(-32)t[/tex]

[tex]t=5/32[/tex] seconds

To find the height that this indicates the diver has risen, you can plug this time into the following formula: [tex]d=v_o t+\frac{1}{2}at^2[/tex]

[tex]d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172[/tex] feet

For the second part, you can use the equation [tex]d=v_o t+\frac{1}{2}at^2[/tex] again. Since the initial velocity for this part is 0, you can set up the following equation:

[tex]92+1.172=\frac{1}{2}\cdot 32 \cdot t^2[/tex]

[tex]t \approx 2.413[/tex]

Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!

please answer I will give brainlist
In the diagram, segment CG is best described as a
tangent
radius
chord
diameter

Answers

Answer:

Try chrord. The picture looks like a tangent but the CG line looks most like a chord.

Step-by-step explanation:

A chord is a line inside of the circle.


A football coach walks 12 meters westward, then 16 meters eastward,
then 22 meters westward, and finally 6 meters eastward.
For this motion, what is the distance moved?
What is the magnitude and direction of the displacement?

Answers

Answer:

Total distance traveled = 56 m

Total displacement is 12 m

Direction of coach is westward

Step-by-step explanation:

It is given that football coach first go 12 meter westward then 16 meter eastward.

So no position of coach in eastward direction = 16 - 12 = 4 m

And then 22 m west westward

Therefore position of coach now is 22-4 = 18 m westward

And finally 6 m eastward

Therefore final position of coach is 18-6= 12 m westward

So displacement of coach is 12 m and direction is westward.

Total distance traveled = 12+16+22+6= 56 m

Answer:

right

Step-by-step explanation:

Two trains leave stations 432 miles apart at the same time and travel toward each other one train travels at 95 mph about the other travels at 85 mph how long will it take for the two trains to meet

Answers

Answer:

1 hour

Step-by-step explanation:

inverse of f(x)=50000(0.8)^x

Answers

Answer:

Step-by-step explanation:

solve the equation for x and enter your answer in the box below
x + 14 =27

Answers

Answer: x = 13

Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.

So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.

The +14 -14 cancels out so we're left with x on the left.

On the right, we must subtract 14 from 27 to get 13.

So we have x = 13 which is the solution to this equation.

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex]x + 14 = 27 \\ x = 27 - 14 \\ x = 13[/tex]

Neal and Abel are mountain biking on a 35-mile trail. Their rides are represented by these equations. Abel: d = 14t, Neal: d = 11t + 6 How many hours will the boys have travelled when they are at the same point on the trail? hours

Answers

Answer:

The boys would have traveled two hours to be at the same point on the trail

Step-by-step explanation:

At the same point on the trail, the two boys would have traveled the same distance.

What this means is that the distance traveled by Neal would be equal to the distance traveled by Abel

Thus, we equate the equation of thur distances.

That would be;

14t = 11t + 6

14t -11t = 6

3t = 6

t = 2 hours

Answer:

2

Step-by-step explanation:

An airplane flies 4800 miles into the wind for 15 hours. The return trip takes 10 hours. Find the speed of the airplane without a wind and the speed of the wind.

Answers

Answer:

The speed of the airplane was 800 mph and the wind, 480 mph.

Step-by-step explanation:

distance'd'/speed'v'=travel time't' and the distances are the same. The wind speed works against the plane upwind and helps the plane downwind, of course.

 

considering x=speed of airplane without wind

c=speed of wind

->Forward trip:

d/v=t

4800/(x-c)=15

320= x-c ---> eq(1)

->Return trip:

4800/(x+c)=10

480 = x+c --->eq(2)

Adding eq(1) and (2)

  x-c + x+c = 320+ 480

x= 800 mph

eq(1)=> 320= x-c

c= 800 - 320

c=480mph

The speed of the airplane was 800 mph and the wind, 480 mph.

The measure of a straight angle (2x+50) (6x+2)

Answers

Answer:

see below

Step-by-step explanation:

If the two angles form a straight angle, their sum is 180

2x+50  + 6x+2 = 180

Combine like terms

8x +52 = 180

Subtract 52 from each side

8x+52-52 = 180-52

8x =128

divide each side by 8

8x/8 = 128/8

x =16

2x+50 = 2(16)+50 = 32+50 = 82

6x+2 = 6(16)+2 =96+2 = 98

HELP!!! Cumulative Exam!! Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8

Answers

Answer:

(B)[tex]\dfrac{1}{m^8}[/tex]

StartFraction 1 Over m Superscript 8 EndFraction

Step-by-step explanation:

We want to find the simplified form of: [tex]m^{-8}p^0[/tex]

[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]

The correct option is B.

Answer:

I am 80% sure its 1 if not then its 1/p

Step-by-step explanation:

lisa will choose between two restaurants to purchase pizzas for her party. the first restaurant charges a fee of $5 for the entire purchase and $16 per pizza. The second restaurant has no delivery fee and charges $17 per pizza. Please help and hurry

Answers

Every time, this second restaurant is less expensive; therefore, Lisa should decide to get pizzas for her group from the second restaurant.

What is the accounting definition of a purchase?

All items and services purchased for resale of consumption throughout the production process are included in spending on goods and services, excluding capital goods whose consumption is recorded as consumption for fixed capital.

We have For the first restaurant

the total cost per pizza is $16 + $5 = $21.

For the second restaurant

the total cost per pizza is $17.

If Lisa purchases x pizzas,

the total cost from the first restaurant will be $21x + $5 = $21x + $5.

The total cost from the second restaurant will be $17x.

If x = 1, the first restaurant will cost $26 and the second restaurant will cost $17, so the second restaurant is cheaper.

If x = 2,

the first restaurant will cost $47 and the second restaurant will cost $34, so the second restaurant is cheaper.

If x = 3, the first restaurant will cost $68 and the second restaurant will cost $51, so the second restaurant is cheaper.

So, in every case, the second restaurant is cheaper, and Lisa should choose the second restaurant to purchase pizzas for her party.

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A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?

Answers

Answer:

Bronze

Step-by-step explanation:

To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:

Mass of necklace = 192g

Volume = 19.5cm^3

Density =...?

Density of a substance is simply defined as the mass of the substance per unit volume.

Density = Mass /volume

Density = 192g / 19.5cm^3

Density = 9.85g/cm^3

Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.

Therefore, the necklace is made of bronze.

Find the surface area.

Any help will be appreciated thank you

Answers

Answer:

Find the area of the shape

First the two triangles

3 x 4 = 12 so the area of both triangles is twelve

Now it is only 1 big rectangle left

The side lengths can be added 3 + 4 + 5 = 12

12 x 11 = 132

132+12=144

144 is the surface area/area

If you have any questions please ask

Step-by-step explanation:

The y intercept of the function : f(x)=x² - 6x + 8 is (0,___)

Answers

Answer:

y-intercept: (0,8)

Step-by-step explanation:

If a = 32 ft, b = 15 ft, c = 16 ft, and d = 19 ft, what is the area of the living room and hallway together?
A.
368 ft2
B.
784 ft2
C.
164 ft2
D.
82 ft2

Answers

Answer :

A. 368 ft²

Step by step

[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]

Answer:

386 ft :)

Step-by-step explanation:

What are the domain, range, and asymptote of h(x) = 6x – 4? domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4 domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4 domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4 domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4

Answers

Answer:

Step-by-step explanation:

The domain of a function is the set for which the function is defined. Our function is the function [tex]h(x) = 6x-4[/tex]. This function is defined regardless of the value of x, so it is defined for every real value of x. That is, it's domain is the set {x|x is a real number}.

The range of the function is the set of all possible values that the function might take, that is {y|y=6x-4}. Recall that every real number y could be written of the form y=6x-4 for a particular x. So the range of the function is the set {y|y is a real number}.

Note that as x gets bigger, the value of 6x-4 gets also bigger, then it doesn't approach any particular number. Note also that as x approaches - infinity, the value of 6x-4 approaches also - infinity. In this case, we don't have any horizontal asymptote. Since the function is defined for every real number, it doesn't have any vertical asymptote. Since h is a linear function, it cannot have any oblique asymptote, then h doesn't have any asymptote.

Answer:

the answer is b

Step-by-step explanation:

Find the exact value of sin 300°.

Answers

Answer:

-0.86602540378 or -√3/2

What is the quadratic regression equation that fits these data?
x. y
-4 35
-3 20
-2 12
-1 6
0 2
1 6
2 10
3 24
4 38

Answers

Answer:

y = 2.09x2 + 0.33x + 3.06

Step-by-step explanation:

just did the T3ST :)

The equation that represents the quadratic regression is y = 3.06 + 0.33x + 2.09x².

To find the quadratic regression equation that fits these data:

First, we determined the following values,

mean of x = 0

mean of y = 17

the correlation coefficient r = 0.9960376489

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, r stands for the coefficient.

A = 3.060606061

B = 0.3333333333

C = 2.090909091

And the quadratic regression can be modeled by the Quadratic regression: y=A+Bx+Cx².

Therefore, the equation is y = 3.06 + 0.33x + 2.09x².

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2. Express as a unit rate.
a) Betty drives her car 150 km in 2 h.
150 km/2 =

Answers

Answer:

75 km per hour.

Step-by-step explanation:

150km/2hr divided by two is 75 km/hr

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5

Answers

It’s A because 100 times number of hours is 100x and you add the 3.5 because that’s how many miles we already know he traveled.

3. What are the lateral area and the surface area of the cone shown below? Round the answers
the nearest tenth. The figure is not drawn to scale.
12 ft
21 ft
LA = 452.4 ft?; SA = 2,598.8 ft?
LA = 452.4 ft?; SA = 1,244.1 ft2
LA=791.7 ft?; SA = 2,598.8 ft2
OLA = 791.7 ft2, SA = 1,244.1 ft2

Answers

Answer:

option 4

Step-by-step explanation:

LA = πrl

Here, l ----> slant height

l= 21 ft

r = 12 ft

LA = 3.14*12*21  =  791.7 square ft

SA = πr(l + r)

= 3.14*12 *(12+21)

=3.14* 12 * 33

= 1244.1 square ft

Tim dug a hole that was 16 1/2 inches deep.He left a pile of dirt next to the hole that was 8 3/4 inches high.Show how you could use subtraction to find the distance from the top of the pile of dirt to the bottom of the hole.

Answers

Answer:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

But what the question requested was the distance from the top of the dirt to the bottom of the hole

Which is closest to the area of the shaded region in the figure, in
square units? ​

Answers

Answer:

Where is the picture?

Step-by-step explanation:

The function f(x) = (x - 4)(x-2) is shown.
What is the range of the function?
1:01
all real numbers less than or equal to 3
all real numbers less than or equal to - 1
all real numbers greater than or equal to 3
all real numbers greater than or equal to -1
6+
4
2
10.-
-6
-4
8
10
X
-2
-2
-4
-6
-10
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

the range for f(x) = (x-4) (x-2) is [-1,∞)

Step-by-step explanation:

all real numbers greater than or equal to -1

The range of the function is all real numbers greater than or equal to -1

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as A

Now , the value of A is

f ( x ) = ( x - 4 ) ( x - 2 )   be equation (1)

On simplifying , we get

f ( x ) = x ( x - 2 ) - 4 ( x - 2 )

f ( x ) = x² - 2x - 4x + 8

f ( x ) = x² - 6x + 8  

Now , the range of the function is set of possible y values

The vertex of the parabola is at ( 3 , -1 )

So , the range of the function is f ( x ) ≥ -1 and the interval is [ -1 , ∝ ]

Hence , the range of the function is f ( x ) ≥ -1

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How would you write and equation for a circle with a radius of 5 , centered at the point (-3,2)

Answers

Answer:

[tex](x+3)^{2} + (y-2)^{2} = 25[/tex]

Step-by-step explanation:

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

A =70 ft^2

Step-by-step explanation:

The area of the triangle is equal to

A = 1/2 bh where b is the base and h is the height

A = 1/2 (20) *7

A =70 ft^2

A=70ft^2
I got the answer from another person

What dose rotations mean in math

Answers

Answer:

A rotation is a transformation that turns a figure about a fixed point called the center of rotation. • An object and its rotation are the same shape and size, but the figures may be turned in different directions. • Rotations may be clockwise or counterclockwise.

Step-by-step explanation:

Answer:it means the movitem of a figure to somewhere else

Step-by-step explanation:

Which expression is equivalent?

7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19

Answers

D is the answer -8x + 19

Answer:

this is so overdue

Step-by-step explanation:

i really need help guys can some one plz help me it's for 10 points

Answers

Answer:

[tex]\sqrt{8}----- 2units,2units[/tex]

[tex]\sqrt{7} ------\sqrt{5}units,\sqrt{2}units[/tex]

[tex]\sqrt{5}-------1unit,2units[/tex]

[tex]3------2units, \sqrt{5}units[/tex]

Step-by-step explanation:

Use pythagorean's theorem to solve each pair individually.

The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.

[tex]Formula: c^2=a^2+b^2[/tex]

1. [tex]a=\sqrt{5}, b=\sqrt{2}[/tex]

Plug this into the formula.

[tex]c=\sqrt{(\sqrt{5} )^2+(\sqrt{2})^2 }[/tex]

The square here eliminates the roots.

[tex]c=\sqrt{5+2}\\ c=\sqrt{7}[/tex]

2. [tex]a=\sqrt{3}, b=4[/tex]

[tex]c=\sqrt{(\sqrt{3} )^2+(4)^2}\\ c=\sqrt{3+16}\\ c=\sqrt{19}[/tex]

3. [tex]a=2, b=\sqrt{5}[/tex]

[tex]c=\sqrt{(2)^2+(\sqrt{5})^2 }\\ c=\sqrt{4+5}\\ c=\sqrt{9}\\ c=3[/tex]

4. [tex]a=2, b=2[/tex]

[tex]c=\sqrt{(2)^2+(2)^2}\\ c=\sqrt{4+4}\\ c=\sqrt{8}[/tex]

5. [tex]a=1, b=2[/tex]

[tex]c=\sqrt{(1)^2+(2)^2}\\ c=\sqrt{1+4}\\ c=\sqrt{5}[/tex]

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