Mathematics High School

All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?​

Answers

Answer 1

Answer:

[tex]Perimeter =58[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

See attachment

Required

The perimeter of ABC

First, calculate the lengths of AC and BC.

From the attachment.

[tex]Ax = Az =10[/tex]

[tex]Cx = Cy = 5[/tex]

[tex]By =Bz[/tex]

So, we have:

[tex]AC = 10 + Cx[/tex]

[tex]AC = 10 + 5[/tex]

[tex]AC = 15[/tex]

Also:

[tex]Az + Bz = AB[/tex]

[tex]Az + Bz = 24[/tex]

Recall that: [tex]Ax = Az =10[/tex]

So:

[tex]10 + Bz = 24[/tex]

[tex]Bz = 24 - 10[/tex]

[tex]Bz = 14[/tex]

So, we have:

[tex]By = Bz = 14[/tex]

To calculate BC, we have:

[tex]BC = 5 + By[/tex]

[tex]BC=5+14[/tex]

[tex]BC = 19[/tex]

The perimeter is then calculated as:

[tex]Perimeter = AB + BC + AC[/tex]

[tex]Perimeter = 24 + 19 + 15[/tex]

[tex]Perimeter = 58[/tex]

All Sides Of ABC Are Tangent To Circle P.What Is The Perimeter Of Triangle ABC?

Related Questions


Word Problem #2
On one night, a scientist needs to determine the
distance she is away from the International Space
Station. At the specific time she is determining this the
space station distance they are both on the same line of
longitude 77' E. Furthermore, she is on a latitude of 29°
N and the space station is orbiting just above a latitude
of 61.4° N. In short, the central angle between the two
is 32.4°. If the Earth's radius is 3959 miles and the
space station orbits 205 miles above the surface of the
Earth, then how far is the scientist away from the space
station?
205 mi
3959 miles
324 CE
A
3959 miles

Answers

324 cececdcececececece

Find the surface area of the pyramid.
9 ft
5.2 ft
6 ft
The surface area is
square feet

Answers

Answer: 280.8

Step-by-step explanation:

The perimiter of a rectangle is 128 inches. The width of the rectangle is 4y inches. Find the length of the rectangle in terms of y.

PLEASE HELP!
I will give brainiest if it is correct

Answers

Answer:

The perimeter of a rectangle is 2W + 2L.

P = 2W + 2L

128 = 2(4y) + 2L = 8y + 2L

2L = 128 - 8y

L = 64 - 4y (this is the answer

Step-by-step explanation:

A car traveled 25 miles in 1/5 of an
hour. At the same speed, how many
miles will the car travel in 1 hour?

Answers

Answer:

in 1 hour it can travel 5(25)= 125 miles

Answer:

125 miles

Step-by-step explanation:

1/5 of a n hour = [tex]\frac{1}{5}*60[/tex] = 12 minutes

Distance traveled in 12 minutes (1/5 of an hour) = 25 miles

Distance traveled in 1 minutes = 25 ÷ 12 = [tex]\frac{25}{12}[/tex]

Distance traveled in 1 hour (60 minutes) = [tex]\frac{25}{12}*60 = 25*5 = 125 miles[/tex]

The table shows a students results from spinning the pointer 30 times. Find the experimental probability that the pointer lands in a section with a number greater than or equal to 3.

Answers

Answer:

The answer is 8/15

hope it helps you

How can you convince someone that 8^0=1?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Fun fact: ANY NUMBER that is raised to the power of 0 is automatically}\\\large\textsf{equal to 1.. because the number to the 0 power is not a product of any}\\\large\textsf{number whatsoever, which why it has an understanding its recognition is 1. }[/tex]

[tex]\large\text{So, you can briefly tell them that for better understanding of exponents of}\\\large\text{0 that equals to 1}\uparrow[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A farmer sells 7.1 kilograms of pears and apples at the farmer's market. 1/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

your answer gonna be 4 1/10 that's your answer

5.325kg because 3/4 of the weight is apples and you take 1/4 away from 7.1. 1/4 of 7.1 is 1.775

!!!!!Please do step by step when answering!!!!!

Answers

Answer:

surface area =0.1357

Step-by-step explanation:

first, find the triangle area

to find use triangle area= base x height divided by 2

so .18 x .23

=0.0414

divided by 2

= .0207

multiplty 0.0414 by 4 because theres a total of 4 triangle sides

.0207 x 4 = 0.0828

now find the area of the square on the bottom

area= base x height

.23 x .23 = 0.0529

now add the two areas together

0.0529 + 0.0828= 0.1357

A nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost
$15.05. Unfortunately, she bredks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?

Answers

Answer:

Its 6.45

Step-by-step explanation:

we first need to know how much is one pane of glass so i divide

15.05÷ 7 and got $2.15

so each one pane of glass is $2.15

than i multiply 2.15 x 3 and got 6.45

So the cost is 6.45

I will mark brainliest if you help me out and give me the correct awnser! Please help me with dot plotting.

Answers

Well, the median is 5

what is the formula to find the vertex of an exponential function?​

Answers

Answer:

formula: x = -b/2a

Step-by-step explanation:

The quotient of a number and -6 decreased by 2, is 10. FInd the number

Answers

Answer:

[tex]x = 48[/tex]

Step-by-step explanation:

Quotient means what you get when you divide a number by another number.

What we can do is make an equation using the information given, which turns out to be this:

[tex](\frac{x}{6}) - 2 = 10[/tex]

Add 2.

[tex]\frac{x}{6} = 8[/tex]

Multiply by 6.

[tex]x = 48[/tex]

find the value of each variable

Answers

Answer:

x=12.124

y=14

Step-by-step explanation:

tan(30)= 7/x

x= 7/tan(30)

sin(30)= 7/y

y= 7/sin(30)

Find the value of x.

Answers

Answer:

38+82 =70

180-70=110

x=110°

If h(x) = 2x and k(x) = 2x - 4, what is h(k(x))?

Answers

To find h(k(x)), substitute k(x) into h(x):

h(k(x)) = 2x

          = 2(2x - 4)

          = 4x - 8

Thus, h(k(x)) = 4x - 8 would be your final answer.

Wich measurement is the closest to the area of the triangle in square centimeters???? :(

Answers

Jfkkdkdjemaaj
Dndndjjfkf
Jfkkfjf
Jfkkf

Can someone please help me please I really need help please help me.

Answers

Answer:

Step-by-step explanation:

I can't get to act correctly either.

The answer is 1 day and 7 items.

Ariana

y = 5x + 2

Julie

y = 7x

The ys have to be the same so equate the right hand side.

7x = 5x + 2                      Subtract 5x from both sides.

7x - 5x = 5x - 5x + 2

2x = 2                             Divide by 2

2x/2 = 2/2

x = 1

1 day

7 items

How many grams is 3200 milligrams? A. 2.5 g B. 3 g C. 3.2 g D. 3.5 g

Answers

Answer:

C. 3.2g

Step-by-step explanation:

Mark Me Brainliest?

Answer:

3200mg is C; 3.2g

Gary is a regular customer at a coffee shop. The probablity that Gary orders a bagel is 85% . If Gary goes to the coffee shop 500 times, which is the best estimate for the number of times Gary will NOT order a bagel?

Answers

The answer will be 425................

How much should Josea leave for the tip?
Reminder: The total bill was $38. She wanted to leave
a 15% tip.

Answers

Answer: soo if the bill is $38

then 15% times 100 = 0.15

38.00 x 0.15 = $5.7

Step-by-step explanation:

Answer:

$5.7 as a tip

Please helppppp pleaseeeee

Answers

Answer:

A.) 3/10

Step-by-step explanation:

I added all the colored cubes together (4+6+3+7=20) then I put the number of green cubes (6) over the total (20) so it looks like 6/20. But that can be simplified to 3/10.

Hope I helped! (p.s. Maybe brainliest)

Answer:

3/10

Addition:

4 + 6 + 3 + 7 = 20

I put the number of green cubes

6 over the total

20

= 6/20

However, this can be simplified to 3/10.

HELP PLS PLS I NEED TO TURN THIS IN RN​

Answers

Answer:

A

Step-by-step explanation:

What is the area of this square?
16 square miles
26 square miles
36 square miles
46 square miles

Answers

16 bc all sides of a square are congruent and area = LxW so 4x4=16

What is the least common multiple of 6 and 10?
02
3
30
60

Answers

Answer:   30

Step-by-step explanation:

Multiples of 6:

6, 12, 18, 24, 30, 36, 42

Multiples of 10:

10, 20, 30, 40, 50

Therefore,

Least common multiple (6, 10) = 30

Answer:

30

Step-by-step explanation:

10 x 1 = 10 / 10 x 2 = 20 / 10 x 3 = {30}

6 x 1 = 6 / 6 x 2 = 12 / 6 x 3 = 18 /  6 x 4 = 24 / 6 x 5 = {30}

The least common multiple of 10 and 6 is 30

Question Help
In the figure to the right, lines that appear to be tangent are tangent, and is the center of the circle.
What is the value of x?

Answers

Answer:

sorry

where is the figure

pleas help meeeeeeeee !!

Answers

So for 9, to graph all you need to do is start at the origin (0,0) and go up 4 and over (right) 1.

Find the length of arc JK.
(Round to the nearest hundredth).

Answers

Convert Ø to radians

30°=π/6

Arc length

s=rØs=2(π/6)s=3.14/3s=1.04ft

20. 64% of the people at the movie theater bought popcorn in one weekend. For the next weekend, if the movie theater expects 125 people, then how many should be expected to buy popcorn?

Answers

Answer:

26

Step-by-step explanation:

20.64 divided by 100 then multiplied by 125 which will result in you receiving the answer 25.8 but I rounded it off to 26

write a propotion that can be obtained from the given figures. PLEAS ANSWER SENSIBLY​

Answers

Answer:

1.

(p+m)/m=(c+o)/o

or

m/(p+m)=o/(c+o)

2.a/v=s/i

or

v/a=i/s

What theorem shows ACE = BCD

Answers

Answer:

SAS

Step-by-step explanation:

in two triangles

if EC=DC

AC =BC

M<ECA =M<DCB "V.O.A"

THEN triangle ACE = triangle BCD

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