Answers
Answer:
B. Tangent
Step-by-step explanation:
Tangent always makes 90 degree angle with the radius. Now in triangle let's see if it's right angled triangle or not.
To confirm if it's a right angled triangle it should follow Pythagoras Theorem.
Which states square of hypotenuse = sum of squares of other two legs
[tex]12 {}^{2} + 16 {}^{2} = 20 { }^{2} \\ 144 + 256 = 400 \\ 400 = 400[/tex]
it proves that it's a right angled triangle. Hence AB is a tangent to circle.
Yes, line AB is tangent to the circle.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, Tangent always makes 90 degree angle with the radius.
Hence, in triangle we can see if it's right angled triangle or not.
Now, To confirm if it's a right angled triangle it should follow Pythagoras Theorem as;
12² + 16² = 20²
144 + 256 = 400
400 = 400
Which states square of hypotenuse = sum of squares of other two legs
it proves that it's a right angled triangle. Hence AB is a tangent to circle.
Hence, We can say that;
⇒ line AB is tangent to the circle.
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Related Questions
PLEASE HELP! IT’S 40 POINTS! What is the area of this octagon?
A. 72 cm2
B. 59 cm2
C. 42 cm2
D. 38 cm2
E. 31 cm2
Answers
Answer:
B) 59 cm²
Step-by-step explanation:
4x8=32
2x3=6
3x7=21
32+6+21=59 cm²
PLEAS HELP!!! The function f(x) = 500(0.75)^x represents the amount of a 500-mg dose of
medication remaining in a patient's system x number of hours from the time the patient
took the medication. Which percent is the rate of decrease of the medication?
A. 75%
B. 25%
C. 7.5%
D. 2.5%
Answers
the answer is b
cccxcxcxcxcxzczczxc
The percentage of the rate of decrease in the medication will be 75%. Option A is correct.
What is an exponential function?The exponential function is characterized as a function that increases quickly and whose value is always positive. With the exponent y = aˣ, where a is the constant and a>1.
It is given that the function is,f(x) = 500(0.75)ˣ. The number x represents the number of hours since the patient took their medication.
f(x) = 500(0.75)ˣ
Compare the function with the standard function as
y=baˣ
Where b is the constant value, a is the percent of the rate of decrement and x is the time period,
The value of a for the given function will be 0.75. The value is in percentage form and can be written as,
=0.75 ₓ 100
=75%
Thus, the medication's rate of decline will be 75%. Option A is correct.
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Last year mrs Bowen's read 289 books. Mrs Jackson's class read 315 book. About how many books did both classes read?
Answers
Answer:
604
Step-by-step explanation:
add them together using collum method
Part 3. Use side to determine if the triangles in each pair are similar. If so, complete the similarity statement. NO LINKS.!!!!
Answers
9514 1404 393
Answer:
1) Not Similar
2) Not Similar
Step-by-step explanation:
1) The side length ratios, shortest to longest, are ...
VU : UW : WV = 27 : 39 : 52 (reduced)
DC : CE : ED = 12 : 19 : 24 (reduced)
The side length ratios are different, so the triangles are NOT SIMILAR.
__
2) The side length ratios, shortest to longest are ...
MK : KL = 13 : 19 (reduced)
HK : KG = 6 : 9 = 2 : 3 (reduced)
The side length ratios are different, so the triangles are NOT SIMILAR.
Answer:
2) The side length ratios, shortest to longest are .. MK : KL = 13: 19 (reduced) HK : KG = 6:9 = 2:3 (reduced) The side length ratios are different, so the triangles are NOT SIMILAR.
Find the angle of least nonnegative measure, θC, that is coterminal with θ=
9π/4.
Answers
9514 1404 393
Answer:
θC = π/4
Step-by-step explanation:
To find the desired angle, subtract multiplies of 2π until the angle is in the desired range.
9π/4 -2π = (9-8)π/4 = π/4
The angle θC = π/4 is coterminal with θ = 9π/4.
please help me!! its due at 8pm
Answers
Answer:
1. 1,538.60 cm³
2. 314.00 m³
Step-by-step explanation:
1. Given:
Diameter = 14 cm
Radius (r) = ½(14) = 7 cm
height (h) = 10 cm
π = 3.14
Volume of cylinder = πr²h
Plug in the values
V = 3.14*7²*10
V = 1,538.60 cm³
2. Given:
Radius (r) = 5 m
Height (h) = √(13² - 5²) = √144 = 12 m
π = 3.14
Volume of cone = ⅓πr²h
Plug in the values
V = ⅓*3.14*5²*12
V = 314.00 m³
42 42 52 53 58 58 61 what is the mean
Answers
Answer:
exact: 366/7
approximate: 52.3
Step-by-step explanation:
mean = (42 + 42 + 52 + 53 + 58 + 58 + 61)/7 = 366/7 = 52.3
A state trooper temp track of the number of speeding ticket he gave out each week over the course of seven weeks in the table below 1 38 2 33 3 51 5 57 6 38 7 40 which of the following statements best describes the data in the table
Answers
Answer:
B: The center of data is shown by the mean, which is 43.
Step-by-step explanation:
Add up all the digits (33+38+38+40+44+51+57)/7=43 the mean. The mean is always teh center of data so it's B. Hope this helps.
I’m having this weird math issue, I’ve tried to find the right answer and even used a calculator but didn’t get it correct?
Answers
Answer:
-2
Step-by-step explanation:
You first get the sqrt for everything.
64-25•2
------------
3-10
Then multiply the 25 and 2 first because of PEMDAS.
So
64-50
---------
3-10
Then subtract from both top and bottom.
14/-7
Then divide.
-2
Hope this helps
Brainliest would be appreciated.
Answer:
6²• 11 ehh tell me if I'm wrong ^^
The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?
Answers
Or it will be $45 off
ABCD FECG
B
5
х
6
100
5
A
60°
o
F
4 120°
G
D
x = [?]
Answers
Answer:
12
Step-by-step explanation:
The required value of x is 12
Data from the picture
ABCD≈FECG
AB = x FG= 4
BC = 10 EF = 6
EC = 5
Quadrilateral is four sided shape as given in the picture in question.
Since ABCD is congruent to FECG
by property
AB/EF = BC/EC
= x/6=10/5
x = 2 x 6
x = 12
Thus, the required value of x = 12.
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3sin²60°+3/4cot²30°-2cosec²60°-3/4tan²30°=19/12{Full process , please^^}
Answers
Answer:
3( root 3 /2)^2 + 3/4 (root 3 )^2 - 2(2/ root 3) ^2 - 3/4 (1/root3)^2
= 3 ×3 /4 + 3 × 3 /4 - 2 ×4 /3 - 3/4 × 1/3
= 9/4 + 9/4 -8/ 3 - 1/4
= 9/4 + 9/4 - 1/4 - 8/3
= 17/4 - 8/3
=( 17 × 3 - 8 × 4 )/12
= (54 -32)/12
= 19 /12
PLS HELP yxyx 115 x Х y=[ ? ]
Answers
Answer:
y=25
Step-by-step explanation:
the straight line is 180
so, 180-115=65
so, now we know x=65
triangle =180
180-65-90=25
Round to the Nearest tenth
Answers
Answer:
a. x=4.2, y=3
Step-by-step explanation:
We know the degrees of the two angles: Right angle (90 degrees) and 45 degrees.
The sum of the interior angles of a triangle is equal to 180 degrees, so the unknown angle is 45 degrees.
The two angles below are both 45 degrees, indicating that the side length is also 3.
So y is equal to 3, the answer can only be a.
20 lb >, < , =304 OZ
Answers
304 oz is equal to 19 lb.
20>19
Noah invested $890 in an account paying an interest rate of 4 5/8% compounded
annually. Riley invested $890 in an account paying an interest rate of 5 1/4%
compounded continuously. To the nearest hundredth of a year, how much longer
would it take for Noah's money to triple than for Riley's money to triple?
Answers
Answer:
3.37 years
Step-by-step explanation:
\text{Rate 1: }4\tfrac{5}{8}\%=4+5/8=
Rate 1: 4
8
5
%=4+5/8=
\,\,4.625\%\rightarrow 0.04625
4.625%→0.04625
\text{Rate 2: }5\tfrac{1}{4}\%=5+1/4=
Rate 2: 5
4
1
%=5+1/4=
\,\,5.25\%\rightarrow 0.0525
5.25%→0.0525
890\text{ tripled is }2670
890 tripled is 2670
\text{Calculate Tripling Time for Noah}
Calculate Tripling Time for Noah
\overline{\phantom{\text{Calculate Tripling Time for Noah}}}
Calculate Tripling Time for Noah
\text{Compounded Annually:}
Compounded Annually:
A=P(1+r)^t
A=P(1+r)
t
A=2670\hspace{35px}P=890\hspace{35px}r=0.04625
A=2670P=890r=0.04625
Given values
2670=
2670=
\,\,890(1+0.04625)^{t}
890(1+0.04625)
t
Plug in values
2670=
2670=
\,\,890(1.04625)^{t}
890(1.04625)
t
Add
\frac{2670}{890}=
890
2670
=
\,\,\frac{890(1.04625)^{t}}{890}
890
890(1.04625)
t
Divide by 890
3=
3=
\,\,1.04625^t
1.04625
t
\log\left(3\right)=
log(3)=
\,\,\log\left(1.04625^t\right)
log(1.04625
t
)
Take the log of both sides
\log\left(3\right)=
log(3)=
\,\,t\log\left(1.04625\right)
tlog(1.04625)
Bring exponent to the front
\frac{\log\left(3\right)}{\log\left(1.04625\right)}=
log(1.04625)
log(3)
=
\,\,\frac{t\log\left(1.04625\right)}{\log\left(1.04625\right)}
log(1.04625)
tlog(1.04625)
Divide both sides by log(1.04625)
24.2989=
24.2989=
Calculate Tripling Time for Riley
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
A=2670\hspace{35px}P=890\hspace{35px}r=0.0525
A=2670P=890r=0.0525
Given values
2670=
2670=
\,\,890e^{0.0525t}
890e
0.0525t
Plug in
\frac{2670}{890}=
890
2670
=
\,\,\frac{890e^{0.0525t}}{890}
890
890e
0.0525t
Divide by 890
3=
3=
\,\,e^{0.0525t}
e
0.0525t
\ln\left(3\right)=
ln(3)=
\,\,\ln\left(e^{0.0525t}\right)
ln(e
0.0525t
)
Take the natural log of both sides
\ln\left(3\right)=
ln(3)=
\,\,0.0525t
0.0525t
ln cancels the e
\frac{\ln\left(3\right)}{0.0525}=
0.0525
ln(3)
=
\,\,\frac{0.0525t}{0.0525}
0.0525
0.0525t
Divide by 0.0525
20.9259=
20.9259=
How much longer for Noah to triple:
24.2989-20.9259
24.2989−20.9259
3.373
3.373
Which figures will have a volume that is greater than 100 cubic units? Select two options. a rectangular prism with dimensions of 4 by 5 by 4 a rectangular prism with dimensions of 2 by 12 by 6 a rectangular prism with dimensions of 1.5 by 8 by 8 a triangular prism that is 6 long and has a triangular face with a base of 4 and a height of 12 a cube with side length 4.
Answers
Answer:
Options-2
Option-4
Step-by-step explanation:
two options have Volume greater than 100 units³
Options-2:remember the formula of Volume of rectangular prism
l×w×hgiven that,
width:2length:12height:6thus substitute:
2×12×6simplify multiplication:
144 units³since 144>100 it's one of our answer
Option-4:remember the formula of triangular prism
½×b×h×lgiven:
b:4h:12l:6Thus substitute:
½×4×12×6simplify multiplication:
144since 144>100 it's our answer
the other options don't satisfy the condition
The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The two figures that will have a volume greater than 100 cubic units are:
A rectangular prism with dimensions of 2 by 12 by 6
Volume = length x width x height
= 2 x 12 x 6
= 144 cubic units
A cube with a side length 4
Volume = side x side x side
= 4 x 4 x 4
= 64 cubic units
Therefore,
The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.
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1. The U.S. Department of Agriculture reported a random sample of 36 Americans consumed an average of 69 gallons of carbonated beverages per year. Assume that the population standard deviation is 20 gallons. Find the 95% confidence interval for the number of gallons of carbonated beverages consumed per year by Americans.(round the final answer to 3 decimal places.)
Answers
Answer:
Hence, the confidence interval is [tex](63.517,74.483)[/tex] gallons.
Given :
Sample size[tex]=36[/tex]
Sample mean [tex]=69[/tex] gallons
Standard deviation [tex]=20[/tex] gallons
So, the standard error [tex]=\frac{20}{\sqrt{36}}=20/6=3.33[/tex]
Confidence level [tex]=95\%[/tex]
To find :
The [tex]95\%[/tex] confidence interval for the number of gallons of carbonated beverages consumed per year by Americans.
Explanation :
[tex]\because[/tex] Confidence interval [tex]=(\text{Sample mean}-\text{margin error},\text{Sample mean}+\text{margin error})[/tex]
Margin error [tex]=Z_{\frac{\alpha}{2}}\times\frac{\sigma}{\sqrt{n}}[/tex]
Here, [tex]\alpha=1-95\%=1-0.95[/tex]
[tex]\Rightarrow \alpha=0.05\Rightarrow \frac{\alpha}{2}=0.025[/tex]
[tex]Z_{\frac{\alpha}{2}}=Z_{0.025}=1.645[/tex] from the [tex]z-[/tex]table.
So, Margin error [tex]=Z_{\frac{\alpha}{2}}\times\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=1.645\times\frac{20}{6}=1.645\times3.33[/tex]
[tex]=5.483[/tex]
Therefore, the confidence interval is:
[tex](69-5.483,69+5.483)[/tex]
[tex]=(63.517,74.483)[/tex] gallons.
Is (3, –2) a solution for the following system? Yes or No x + y = 1 2x + 3y = 1
Answers
Answer:
NO
Step-by-step explanation:
Plugging in 3 for X and -2 for Y
X + Y = 12X _ 3Y = 1
3 + -2 = 12*3 + 3 * -2 = 1
1 = 36 + 3 * -2 = 1
1 = 36 + -6 = 1
1 = 30 = 1
So NO, (3, -2) is not a solution.
19.*
The average number of minutes a person spends watching television is represented by
y = 800x. In this equation, x is the number of weeks and y is the number of minutes.
Which statement is supported by the equation?
(Lesson 5)
A In 6 weeks, a person spends an average of 4,200 minutes watching television.
B A person spends 800 minutes watching television in 1 month. (1 month = 4 weeks)
C In 5 weeks, a person spends an average of 160 minutes watching television.
DA person spends 41,600 minutes watching television in 1 year. (1 year = 52 weeks)
Answers
Step-by-step explanation:
Miko’s family drove at a constant speed as they left home and traveled to the restaurant where they stopped for lunch. Does the relationship between hours that past x and the distance traveled y represent a proportional relationship? Explain why or why not?
If IQ Scores are normally distributed with a mean of 100 and a standard deviation of 15. If you randomly selected a person
from Montana, what is the probability, rounded to the hundredth, that a person will have an IQ less than 79?
Remember to use the percent sign in this question
Answers
Answer:
8%
Step-by-step explanation:
P(X<79) = normalcdf(0,79,100,15) = 0.0807567112 ≈ 0.08 ≈ 8%
Therefore, the probability, rounded to the hundredth, that a person from Montana will have an IQ less than 79 is 0.08 or 8%
Can someone please help me I will mark u brilliant for both answers
Answers
Step-by-step explanation:
Athe question is wrongA photo of an ant in a science book is increased to 645% as large as the actual size. If the ant is 18 millimeters, what is the size of the ant in the photo?
Answers
1) Which choice best represents the height of a clothes dryer. A 1 meter B kilometer c1 centimeter D. 1 millimeter
Answers
how do i reflect over the line x=-1 and y=2?
Answers
Answer:
Hope this helps!!!
Step-by-step explanation:
Reflecting around x=1 never touches the y coordinate, and the x coordinate transforms - what was the distance to x=1 becomes the distance on the other side. In other words, if a point were at x=π, it's distance to x=1 was π−1 so the new location is π−1 to the left of x=1, i.e. 1−(π−1)=2−π.
What is the mode of the data?
8
3
7
5
Answers
the mode of this data is 7
Answer:
The mode of this data is 5.
Step-by-step explanation:
5 has more x
The bar graph shows the average number of
years a group of people devoted to their
most time-consuming activities. According to
the graph, a person from this group will
devote 30 years to working and doing
chores. The number of years working will
exceed the number of years doing chores by
16. Over a lifetime, how many years will be
spent on each of these activities?
How an Average Life Expectancy of 80 Years Is Spent
35
30
25
20
Avg Number of Years
IL
Sleep Work TV Chores Food Games Man
years will be spent on working and
years will be spent on doing chores.
Answers
A Labrador retriever club has 130 members: 65 black Labs, 44 golden Labs, and 21 chocolate Labs. Pablo is going to perform a chi-square goodness-of-fit test to see if the distribution of Labrador retrievers in the club is the same as the distribution nationally. Pablo is going to test his sample against the following null hypothesis, which reflects the national distribution. H0:pblack=0.53,pgolden=0.39,pchocolate=0.08 If the distribution of Labrador retrievers in the club were to match that of the national average, how many of each type of Labrador retriever would Pablo expect to see in his club? Labrador Type Black Golden Chocolate Expected Counts 68.9 50.7 10.4
Answers
Answer:
Step-by-step explanation:
Ap classroom
If the value of the complementary angles are 5x and 20, what is the value of x? ANSWER QUICKLY PLS
Answers
Answer:
4 5x4 =20
Step-by-step explanation:
Answer:
wouldn't it be 4?
Step-by-step explanation:
For the figure shown on the right, find the value of the variable and the measures of the angles.
Q
(2x+38)
(x-10)
X = 38
mZP
ZP-O
What would be the m
Answers
Answer:
38-10=28
Step-by-step explanation:
The angle labeled is x-10.
Since we know x is 38, subtract!
38-10=28
Mark brainliest please!