from a point P the length of the tangent to a circle is 24 cm and the radius is 7 cm find the distance of P from the centre​

Answers

Answer 1

Answer:

22.96 cm

Step-by-step explanation:

Let the point of contact of the tangent with the circle be R.

Let the centre of the circle be O.

We are told that from Point P, the length of the tangent is 24 cm.

Thus, PR = 24 cm

Now, the radius will be perpendicular to the tangent at the point of contact with the circle.

Thus, ORP will form a right angle triangle where ∠R = 90°

Since radius = 7 cm, we can use pythagoras theorem to find OP which is the distance of P from the centre.

Thus;

OP = √(24² - 7²)

OP = √527

OP = 22.96 cm


Related Questions

Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.

Answers

Answer:

13 miles

Step-by-step explanation:

Given that he traveled in a straight line to each destination. Then,

i. distance from his home to soccer field = [tex]\sqrt{x^{2} + y^{2} }[/tex]

                                      = [tex]\sqrt{4^{2} + 3^{2}}[/tex]

                                      = [tex]\sqrt{16 + 9}[/tex]

                                      = [tex]\sqrt{25}[/tex]    = 5 miles

ii. The distance from soccer field to the library = 8 miles.

So that we can say that;

Ryan's total distance from home to the library = 5 + 8

                                                      = 13 miles

Thus, Ryan would have traveled 13 miles by the time he reached the library.

Giving brainlist to whoever answers

Answers

15,6 CM3. It's just A*B*C

Answer:

15.6 cm3 is the answer for the question

favorite anime character?

mines hisoka, illumi, annie, eren, kallen, hawks, shinso, amajiki, sugawara, near, L, lelouch, and muichiro

Answers

Answer:

L, Saiki, mikasa, and yelena

Step-by-step explanation:

naruto, eren, luck, goku, kid buu , goku , elric , ichigo luffy, lelouch, melidoas boruto kawariki

8.6 ÷ (−2.5)
Find the quotient. Write your answer as a decimal.

Answers

Answer: =−3.44

Step-by-step explanation: Hope this help :D

-3.44 is the correct answer!8.6 ÷ 2.5 = 3.44(positive) x (negative) = negativeSo, its NEGATIVE 3.44Please let me know if I am wrong or just use a calculator.

please help me do it please

Answers

Answer:

ll

Step-by-step explanation:

bye

hlpppppppppppppppppppppppppppppp

Answers

Answer:

-9.661

Step-by-step explanation:

For this problem you simply substitute the give values into the equation

a=6.05

b=3.611

-6.05+(-3.611)= -9.661

Find the slope from the ordered pairs, (19,3), (20,3)
0
1
2
3

Answers

Answer:

0

Step-by-step explanation:

It would just be straight up and down meaning it is 0.

y2-y1/x2-x1

(19,3) and (20,3)
x1, y1 x2, y2

3-3/20-19=0/1

0/1=0 slope so that's ur answer

Amy spent $90 at the store. She spent 1/3 of her money on food, 1/6 of her money on school supplies, and 1/9 of her money on soda. How much did she spend on school supplies?

Answers

Given:

Amy spent $90 at the store.

She spent [tex]\dfrac{1}{3}[/tex] of her money on food, [tex]\dfrac{1}{6}[/tex] of her money on school supplies, and [tex]\dfrac{1}{9}[/tex] of her money on soda.

To find:

How much did she spend on school supplies?

Solution:

According to the given information, Amy spend [tex]\dfrac{1}{6}[/tex] of her money on school supplies.

Amy spent $90 at the store. So,

Money spend on school supplies = [tex]\dfrac{1}{6}\times 90[/tex]

                                                        = [tex]15[/tex]

Therefore, Amy spend $15 on school supplies.

PLS I NEED HELP NOW OMGGGGG

Answers

Answer:

x= 3/pi

Step-by-step explanation:

[tex] \frac{15}{2\pi} \times \frac{6}{5} = \frac{3}{2\pi} \times 6 = \frac{18}{2\pi} = \frac{9}{\pi} [/tex]

[tex] {x}^{2} \times \pi = \frac{9}{\pi} [/tex]

[tex]x = \frac{3}{\pi} [/tex]

Solve for x.

Please help me.

Answers

X=4
Explanation: 3x + 20 +2x
5x= 20
/5=/5
X= 4

Please help, I'm having a hard time with this ;-;

Answers

Answer:

A

Step-by-step explanation:

3 times steep means slope is 3 times

slope=4

new slope =3×4=12

translated 7 down means y intercept-7=1-7=-6

so new eq. is y=12x-6

Answer:

A

Step-by-step explanation:

So we know that the slope is 4, and we want to make it 3 times as steep, so that would be 12. The y-intercept is one and we want to move it down 7 units, 6-7= -1. So our final answer would be y= 12x-6!

Gerardo uses an ice cream scoop that makes spherical scoops of ice cream with a diameter of 2.5 inches.

If Gerardo opens a new tub of chocolate ice cream and scoops 37 scoops of chocolate ice cream, about how much chocolate ice cream, in cubic inches, is left in the tub?

Answers

Answer:

32.13 scoops left

Step-by-step explanation:

WORTH 30 POINTS ILL MARK BRAINLIEST
for the equation y=x^2+6x+4
a) use completing the square to change the following equation to graphing (vertex) form
include steps

Answers

Step-by-step explanation:

[tex]y = {x}^{2} + 6x + 4[/tex]

[tex]y - 4 = {x}^{2} + 6x[/tex]

[tex]y - 4 + 9 = {x}^{2} + 6x + 9[/tex]

[tex]y + 5 = (x + 3) {}^{2} [/tex]

[tex]y = (x + 3) {}^{2} - 5[/tex]

answer asap pleaseeeee !!

Answers

Answer: (Rounded to the nearest Tenth)

42m

Step-by-step explanation:

Use the hypotenuse formula:

a^2 + b^2 = c^2

110^2 + 55^2 = 123^2

So Sara ussually walks 123m across the lot, now she needs to walk an extra 42m to get pass the lot.

PLEASE HELP I WILL MARK BRAINLIEST HAVE A GREAT DAY:)!!

Answers

Answer:

F) 6/5

Step-by-step explanation:

6 divided by 5 = 6/5

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

Ur answer is :-

F. [tex]6 \div 5[/tex]

Explain how to use the figure below and a sequence of similarity transformations to prove that all circles are similar.

Answer:
Since every circle is 360.
so we know that their angles are congruent.

Answers

Since every circle is 360 so we know that their angles are congruent.

Based on similarity transformation, Since every circle is 360 degrees, so we know that their angles are congruent.

What is similarity transformations?

When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure.

The total angle in every circle is 360 degrees, hence all circles are similar.

Thus, we can conclude the following based on similarity transformation, Since every circle is 360 degrees, so we know that their angles are congruent.

Learn more about similarity transformation here: https://brainly.com/question/26836817

#SPJ6

Write a linear function with the values f(0) = - 5 and f(3) = 4

Answers

Answer

[tex]f(x) = 3x - 5[/tex]

Explain

.

[tex]f(0) = - 5[/tex]

[tex]f(3) = 4[/tex]

.

Find b

[tex]3b - 0b = 4 - ( - 5)[/tex]

[tex]3b = 9[/tex]

[tex]b = \frac{9}{3} \\ [/tex]

[tex]b = 3[/tex]

.

Find f(1)

[tex]f(1) = f(0) + b[/tex]

[tex]f(1) = - 5 + 3[/tex]

[tex]f(1) = - 2[/tex]

.

Find Function

.

[tex]f(x) = f(1) + (x - 1)b[/tex]

[tex]f(x) = - 2 + (x - 1)3[/tex]

[tex]f(x) = - 2 + 3x - 3[/tex]

[tex]f(x) = 3x - 3 - 2[/tex]

[tex]f(x) = 3x - 5[/tex]

[tex] \rm{}fumction \to \boxed{f(x) = 3x - 5}[/tex]

.

#LearnWithBrainly

Drag numbers to the table so it shows a proportional relationship between x and y.

Answers

Sorry but you didn’t put a table but at least I can answer this a table can be shown by following the same rule by adding, subtracting, multiplication or division. Sorry for the inconvenience!

Answer

Sorry but you didn’t put a table but at least I can answer this a table can be shown by following the same rule by adding, subtracting, multiplication or division. yeah thats right

Step-by-step explanation:

cant not solve unless u explain

6th grade advanced / 7th grade khan acadamy​

Answers

The answer will be A

Answer:

Step-by-step explanation:

both  A and B are equivalent

/fxa-pqxu-hzi. come here

Answers

What if I don’t wanna? What then?

The Question is in the png

Answers

Answer:

$30.69

Step-by-step explanation:

The answer to your question is 30.39 just like the dude said up top :)

Cuboid ABCDEFGH is shown
BC=6.8
DE=9.3
Find the size of the angle between CF and the Plane ABCD
NEEDS ASAP WILL MARK AS BRAINLIEST IF CORRECT

Answers

Answer:

The angle formed between CF and the plane ABCD is approximately 47.14°

Step-by-step explanation:

The given parameters are;

BC = 6.8

DE = 9.3

∠BAC = 52°

We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;

sin∠BAC = BC/(The length of a line drawn from A to C)

∴ The length of the line drawn from A to C = BC/sin∠BAC

The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63

∴ AC = 8.63

By trigonometry, we have;

The angle formed between CF and the plane ABCD = Angle ∠ACF

[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}[/tex]

[tex]tan\angle ACF = \dfrac{FA}{AC}[/tex]

In a cuboid, FA = BG = CH = DE = 9.3

[tex]\therefore tan\angle ACF = \dfrac{9.3}{8.63}[/tex]

[tex]\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}[/tex]

The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°

PLS
HELP
ILL
GIVE
MORE
IF
ITS
RIGHT

Answers

Answer:

the area of the porch is 5 times larger

Step-by-step explanation:

Area of a rectangle = length x width

Original area = 15 x 6 = 90 square feet

length of width after it was enlarged 5 times = 5 x 6 = 30

New Area = 30 x 15 = 450 square feet

change in area = 450 / 90 = 5

write the equation of the graph in slope intercept form​

Answers

Answer:

To write a slope-intercept equation from a graph, find the point where the graph crosses the y-axis, b, and the slope, m, and plug them into the equation y=mx+b.

Step-by-step explanation:

3

1. -6/2 + 4
2. 2/5 - 1
3. 0? i think
4. 1? i think

4 and 3 can be switched i am pretty sure if wrong

help help ASAP!!!!!!!

Answers

Answer:

Greatest angle measure is ∠Q

Smallest angle measure is ∠R

Step-by-step explanation:

As the length of side are in the same order as the measure of the angles opposite the lengths of sides. The greatest side is opposite to the greatest angle.

By using the properties of triangle , if one angle of a triangle is larger than the other angle, then the side opposite to the larger angle is greater than the side opposite to the smaller angle.

Longest side=PR=13cm

∴ Greatest angle measure is ∠Q

Smallest side=PQ=8cm

∴ Smallest angle measure is ∠R

Asap this is the rest of my points!

Answers

Answer:

I think the answer is acute.

Step-by-step explanation:

Sorry if this is wrong.

This triangle is Obtuse

What is the correct value of x

Answers

Answer:

45°

Step-by-step explanation:

The triangle is right isosceles.

It is right as the side is the diameter of the circle.

It is isosceles as two sides marked as equal.

Acute angles are same and equal to:

90°/2 = 45°

Correct option is 45°

Answer:

<M=90°[inscribed angle on diameter is 90°]

<N=<L=[base angle of isosceles triangle]

now

<M+<l+<N=180°[sum of interior angle of traingle]

[2x-5]×2=180-90

4x-10=90

x=100/4=25

x=25

A spinner and two cards are shown below. Which table correctly identifies the sample space of spinning the spinner and then selecting a card?

Answers

We need to see the tables for this.

PLEASE NO LINKS

What fraction is greater than 1/9, is less than 1/3, and has a denominator of 18?
find the common denominators.

Answers

Answer:

5/18

Step-by-step explanation:

Let the numerator be x.

1/9 < x/ 18 < 1/32/18 < x / 18 < 6/182 < x < 6x = {3, 4, 5}

Fractions that satisfy the condition:

3/18, 4/18, 5/18

The first two can be simplified further:

3/18 = 1/6, 4/18 = 2/9

The answer is 5/18

Just to need solve this asap
which value represents (A u B)



pls don't answer randomly for points

Answers

Answer: 55

Step-by-step explanation:

Given

Values are presented in the Venn diagram

No of left-handed students [tex]n(A)=25[/tex]

No of vegetarians students [tex]n(B)=45[/tex]

Students who are left-handed and vegetarian is given by [tex]n(A\cap B)=15[/tex]

[tex]n(A\cup B)[/tex] is given by [tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

Put the values

[tex]n(A\cup B)=25+45-15\\n(A\cup B)=55[/tex]

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