Answers
Answer:
No
Step-by-step explanation:
The tangent line must form a right angle with the radius
No, 4 5 6 isn't a right triangle
Answer:
Line m is not a tangent line to circle B.
Step-by-step explanation:
The tangent line to a circle is always perpendicular to the radius.
The line segment measuring 4 units is the radius of Circle B, therefore if line m is a tangent line to the circle, the angle between this segment and the segment measuring 5 units will be a right angle (90°).
We can use Pythagoras' Theorem to check if the triangle is a right triangle.
Pythagoras’ Theorem: [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Therefore, the legs are the line segments measuring 4 and 5, and the hypotenuse is the line segment measuring 6 units.
Substituting the values for the legs into the formula:
[tex]\implies 4^2+5^2=c^2[/tex]
[tex]\implies 16+25=c^2[/tex]
[tex]\implies 41=c^2[/tex]
[tex]\implies c=\sqrt{41}[/tex]
Therefore, as the hypotenuse of the triangle is not √41, the triangle is not a right triangle, and therefore line m is not a tangent line to circle B.
Related Questions
Given that 7^2 = 12^x, evaluate 12^2x.
Answers
Answer:
12^2x = 7^4 = 2401
7^2=12^x
We know that a^x * a^x = a^(x+x) or a^2x
Multiply each side by 12^x
7^2 * 12^x=12^x * 12^x
7^2 * 12^x = 12^(x+x)
Replace 12^x with 7^2 on the left hand side since they are equal
7^2 * 7^2 = 12^ (2x)
7^(2+2) = 12^(2x)
7^4 = 12^2x
2401 = 12^2x
Step-by-step explanation:
i need help with this
Answers
8:10-> 4:5,16:20, 24:30
6:8 -> 3:4, 12:16, 30:40
6:18 -> 3:9, 12:36, 30:90
4:8 -> 1:2, 8:16, 12:24
HELP PLEASE LOTS OF POINTS!!
Answers
Answer:
890.625
Step-by-step explanation:
2.5x2.5x2.5 (Volume of Cube)=15.625
Density is 57
57=x/15.625
890.625=x
help, question below
Answers
b. 12y + 11
hope this helps :)
What even is this?Find the value of x
Answers
Answer:
90 degrees.
Step-by-step explanation:
Assuming x is the bottom right of the blue triangle, x would be 90 degrees, since the triangle has a right angle.
Right angles are always 90 degrees.
I think is may be what you're looking for, hope this helps! If not, please do let me know.
HELP ME ASAP PLS Find the surface area of each pyramid. Round to the nearest tenth if necessary.
Answers
Answer:
357.46 meters squared
Step-by-step explanation:
16 x 12.2 x 1/2 = 97.6
12.2 x 10.6 = 64.66
97.6 x 3 = 292.8
292.8 + 64.66 = 357.46
Which statement is true?
The value of 8,590 − 4,586 is half the value of 2 x (8,590 − 4,586).
The value of 2,674 x 5,480 + 5 is 5 times the value of 2,674 + 5,480.
The value of 6,432 x (1,860 − 6) is 6 less than the value of 6,432 x 1,860.
The value of 2,876 x (9,280 + 8) is 8 more than the value of 2,876 x 9,280.
Answers
Answer:
answer is option A
Step-by-step explanation:
8,590 − 4,586 = 4,0042 x (8,590 − 4,586) is 8,008Sure hope this helps uou :)
Help i don’t know how to do this
Answers
Answer:
ok so first you add all the prices together.
$9:00+$7:00+$8:00+$6:00+$4:00=34
then divide 34 by the number of prices.
34/5
then you get the mean
$6.8 is the mean
Step-by-step explanation:
Select the properties that equilateral triangles and isosceles triangles have in common.
0 sides of equal length
2 sides of equal length
3 sides of equal length
3 equal angles
Answers
The properties that equilateral triangles and isosceles triangles have in common is that they have two equal sides.
What is a triangle?A triangle is a polygon that has three sides and three angles. Types of triangles are isosceles, equilateral and scalene triangle.
An equilateral triangle is a triangle that have three equal sides while isosceles triangle have two equal sides.
The properties that equilateral triangles and isosceles triangles have in common is that they have two equal sides.
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PLEASE HELP!!!!!!!!!!!!!!
Simplify (-5)^5/(-5)^-6
Answers
Multiply (-5)^5 and (-5)^-6 by adding the exponents and you would get (-5)^11
Then raise -5 to the 11th power and you would get −48828125
tom is planning a party for five friends at a game arcade. He can buy different numbers of game tokens for the prices shown on the table
each friend will have 25 game tokens.
how much money could tom save, in dollars, if he buys all 125 tokens before the party rather than separately as each friends arrive?
Answers
Answer:
He can save 20 dollars
Step-by-step explanation:
He can buy one 100 token amount and one 25 token amount. This will cost 20 + 10 dollars, or 30 dollars. If each friend buys 25 tokens, it will cost
10 * 5 dollars, or 50 dollars. 50 - 30 = 20. So he can save 20 dollars.
Need help,will give 20 points.Use the rectangle to find the measure of the following angles measure ane BAC=25
Answers
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
what is the exact value of [tex]\frac{cos(tan^{-1} (-1)) }{sin(cos^{-1}(\frac{\sqrt{3}}{2}))}[/tex]
Enter your answer, as a simplified fraction, in the box
[tex]\frac{cos(tan^{-1} (-1)) }{sin(cos^{-1}(\frac{\sqrt{3}}{2}))}[/tex] =
Answers
We have
arctan(-1) = -π/4
cos(-π/4) = 1/√2
and
arccos(√3/2) = π//6
sin(π/6) = 1/2
Then
cos(arctan(-1)) / sin(arccos(√3/2)) = (1/√2) / (1/2) = √2
Maya and Aimee compare the fractions 2/3 and 3//5. Their work is shown below.
Answers
Answer:
Maya is correct. She wrote equivalent fractions with the same denominator and then correctly compared the fractions. Aimee wrote equivalent fractions with the same numerator but did not correctly compare the fractions. Only Maya is correct.
When you're comparing fractions, you have to set them equal to the same denominator, not the same numerator.
Hope this helps
Theater tickets to the Livingston Theater production cost $18 for students and $25 for non-students. If 320 tickets were sold, and the total sales of all of the tickets was $6719, how many student tickets were sold
Answers
The total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the x number of students tickets were sold and
y number of tickets were sold for non students.
Then we can frame two linear equations:
x + y = 320 ...(1)
18x + 25y = 6719 ...(2)
From equation (1) take the value of y and plug into the equation (2)
18x + 25(320 - x) = 6719
18x + 8000 - 25x = 6719
7x = 1281
x = 183 tickets
Thus, the total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.
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In this simplest form what is the ratio of circles and triangles
Answers
There are 3 shapes present.
Triangle - 2
Circle - 4
Square - 2
The ratio of triangles to circles: 2 triangles to 4 circles ⇒ 2/4
2/4 simplified to 1/2.
!!!!!!!please help!!!!!!!
if a fair six sided die is rolled twice, what is the probability it will land on 1 and then 6?
a. 1.4%
b. 2.8%
c. 0.5%
d. 8.3%
Answers
Answer: 2.8%
Step-by-step explanation: 1/6 * 1.6 = 1/36 1/36 = 0.0277 = 2.8%
Please Help I Don't Understand!
Answers
Answer:
x = 20
Step-by-step explanation:
You know that these 2 triangles are similar, so you can set a proportion! That is a quality that all similar triangles have.
I've redrawn the triangles to make it easier to view, as well as setting up the proportion. Please do know you can use 6 to 12 = 25 to x, there are multiple ways of solving this.
What is the distance between the two points? A. 4 units B. 5 units C. 6 units D. 7 units
Answers
Answer:
C. 6 units
Step-by-step explanation:
(-3, 2) and (-3, -4)
2-(-4)=6
-3-(-3)=0
Jim's car lot is having a sale! They have the truck you've always wanted and it is $3000 cheaper than you've seen anywhere else. Today it is $35,000. You can put $1000, then pay $700 a month for 5 years. How much are you paying total for the truck?
Answers
Answer:
34000
Step-by-step explanation:
Which choice shows the product of 22 and 39
Answers
Answer: the product of this question is 858
Step-by-step explanation:
Jessica has three types of dvds and two types of cds as shown in the tree diagram if she grabs a disc at random what is probability that it is a dvd
Answers
A computer generates 80 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred 23 7 9 10 8 6 8 9
What is the experimental probability of the computer generating a 5 or a 6?
9%
13.75%
17.5%
30%
Answers
Answer:
17.5%
Step-by-step explanation:
I took the test and got it right
Answer:
THE ANSWER IS C) "17.5%"
Para estudiantes de Español:
LA RESPUESTA ES C) "17.5%"
Step-by-step explanation:
PICK C)!
ELIJA C)!
aswer pls correct if wrong
Answers
Answer:
36 [tex]cm^{2}[/tex]
Step-by-step explanation:
Answer:
36cm² is the answer.....
Please Help Me with All of these!!!!!! Conditional Probability
Answers
The questions are all illustrations of conditional probabilities, and they can be solved using the general conditional probability formula; P(A|B) = P(A and B)/P(B)
How to determine the conditional probabilities?The conditional probability P(A|B) is calculated using:
P(A|B) = P(A and B)/P(B)
Using the above formula, we have:
P(has at least 4 sides| not a hexagon) = 38/50
P(has at least 4 sides| not a hexagon) = 0.76
P(not a square | has less than 7 sides) = 30/45
P(not a square | has less than 7 sides) = 0.67
P(not an octagon | not a triangle) = 39/51
P(not an octagon | not a triangle) = 0.76
P(octagon | sum of interior angle measures is at least 600) = 9/25
P(octagon | sum of interior angle measures is at least 600) = 0.36
Students in Wayland high schoolThe conditional probability is calculated using:
P = P(perfect attendance and honor roll)/P(Honor roll)
So, we have:
P = 25%/38%
Evaluate
P = 0.66
Hence, the probability that a student has a perfect attendance, given that he made the honor roll is 0.66
Homes on the marketThe conditional probability is calculated using:
P = P(Home has a pool and at least 3 bedrooms)/P(at least 3 bedrooms)
So, we have:
P = 25%/70%
Evaluate
P = 0.36
Hence, the probability that a home has a pool, given that it has at least 3 bedrooms is 0.36
Conditional probability using Venn diagramUsing the conditional probability formula in (a), we have:
P(uses Ins tag ram| does not use Sna pch at) = 45/(20 + 45)
P(uses Ins tag ram| does not use Sna pch at) = 0.69
P(does not use Ins tag ram| uses Sna pch at) = 25/(30 + 25)
P(uses Instag ram| does not use Sna pch at) = 0.45
Sports and Part-time jobUsing the conditional probability formula in (a), we have:
P(plays sport| has a part-time job) = 22/68
P(plays sport| has a part-time job) = 0.32
P(has a part-time job| plays sport) = 22/40
P(has a part-time job| plays sport) = 0.55
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A truck driver needs to drive 400 miles. The drivers average speed for the first 180 miles is b miles per hour. The drivers average speed for the rest of the trip is c miles per hour. Enter an equation for the total time, t, in hours it took the driver to complete the entire trip
Answers
Step-by-step explanation:
speed = distance/time
time = t = distance/speed
t = 180/b + (400-180)/c = 180/b + 220/c = 20(9/b + 11/c)
ITS THE LAST QUESTION HELP!!!!!!!!!!!!
Answers
Answer:
ans willbe -8
Step-by-step explanation:
-1/2 × 2 =-1
-1×2=-2
-2×2=-4
-4×2=-8
What is the volume of a rectangular prism with a height of 1.5 feet and a base area of 4.5 square feet? Use the formula V = Bh.
Answers
Answer:
6.75 square feet
Step-by-step explanation:
[tex]4.5 \times 1.5 = 6.75[/tex]
So the volume is 6.75 square feet.
Help ASAP! Will give brainliest
Answers
Answer:
10 units
Step-by-step explanation:
General equation of an ellipse
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1 \quad \textsf{where }(h \pm a,k)\: \textsf{and}\:(h, k \pm b)\: \textsf{are the vertices}[/tex]
Major Axis: longest diameter of an ellipse
Minor Axis: shortest diameter of an ellipse
Major radius: one half of the major axis
Minor radius: one half of the minor axis
If a > b the ellipse is horizontal, a is the major radius, and b is the minor radius.
If b > a the ellipse is vertical and b is the major radius, and a is the minor radius.
Given equation:
[tex]\dfrac{(y-4)^2}{25}+\dfrac{x^2}{9}=1[/tex]
[tex]\implies \dfrac{x^2}{9}+\dfrac{(y-4)^2}{25}=1[/tex]
Comparing with the general equation:
h = 0a² = 9 ⇒ a = 3k = 4b² = 25 ⇒ b = 5As b > a then the ellipse is vertical and b is the major radius.
⇒ Major axis = 2 × Major Radius
= 2b
= 2 × 5
= 10
Also, the vertices are:
(3, 4) and (-3 ,4)(0, 9) and (0, -1)I'd like 25% of my order to be 3 Monste
cupcakes, and the rest Tropical.