All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?
Answers
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]
Related Questions
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
what is the formula to find the vertex of an exponential function?
Answers
Answer:
formula: x = -b/2a
Step-by-step explanation:
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
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
Find the value of x.
Answers
Answer:
38+82 =70
180-70=110
x=110°
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
!!!!!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
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
I will mark brainliest if you help me out and give me the correct awnser! Please help me with dot plotting.
Answers
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
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
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]
What is the area of this square?
16 square miles
26 square miles
36 square miles
46 square miles
Answers
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
pleas help meeeeeeeee !!
Answers
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:
3/10Addition:
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.
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:
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
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
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.
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................
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
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:
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)
HELP PLS PLS I NEED TO TURN THIS IN RN
Answers
Answer:
A
Step-by-step explanation:
Find the length of arc JK.
(Round to the nearest hundredth).
Answers
Convert Ø to radians
30°=π/6Arc length
s=rØs=2(π/6)s=3.14/3s=1.04ftWich measurement is the closest to the area of the triangle in square centimeters???? :(
Answers
Dndndjjfkf
Jfkkfjf
Jfkkf
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]
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
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]