Answers
Answer:
B
Step-by-step explanation:
Remark
This is a monster when you first come across it, but later on you will not be fooled.
Construction
Draw a line from E to the center of the circle. Label the center of the circle OOE and OF are both radii. They form the central angle of the ArcEFSolution
Find the value of Arc EF
The value of Arc EF = 360 - 244 = 116
The value of <FOE also = 116. (The arc and the central angle are equal.)
ΔFOE = 116 degrees See above statement
ΔFOE is isosceles Two of it's sides are radii.
The two base angles can be solved. Call each one x
2x + 116 = 180 All triangles have 180 degrees
-116 -116 Subtract 116 from both sides
2x = 64 Divide by 2
x = 32 <EFO = 32
<EFO = 90 Where the tangent meets the radius forms a 90o angle.
<EFO + GFE = 90
32 + GFE =90
GFE = 90 - 32
GFE = 58
Answer: B
Answer:
b
Step-by-step explanation:
360-244/2= 116/2=58 or b
Related Questions
which type of triangle has three sides that are the same length?
Answers
Answer:
an equilateral triangle
Melissa wants to check the accuracy of the finance charge on her loan. She has a $6,000, 4-year loan at an APR of 3.11%. What is her monthly payment? Round to the nearest cent.
Answers
Answer: $133.10.
Step-by-step explanation:
Answer:
To calculate the monthly payment for a loan, you can use the following formula:
Monthly payment = (APR/12) * loan amount / (1 - (1 + APR/12)^(-number of payments))
In this case, the loan amount is $6,000, the APR is 3.11%, and the loan is for 4 years, or 48 months. Plugging these values into the formula, we have:
Monthly payment = (0.0311/12) * $6,000 / (1 - (1 + 0.0311/12)^(-48))
Calculating, we find that the monthly payment is approximately $147.26. Rounded to the nearest cent, the monthly payment is $147.26.
Step-by-step explanation:
Find the percent of the number, 20% of 60 is?
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Find the greatest common factor of $144$ and $405$.
Answers
Answer:
Step-by-step explanation:
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
Find the prime factorization of 405
405 = 3 × 3 × 3 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 3
Answer = 9
Find the missing side length.
a = 28 yards
b = 195 yards
c=
Answers
Use the pythagorean theorem (a^2 + b^2 = c^2)
Answer:
197 yd
Step-by-step explanation:
28² + 195² = 38809
√38809 = 197
On the first part of a journey, a motorcyclist travels for 3 hours at an average speed of 80 km per hour. On the second part of a journey, the same motorcyclist travels for 90 minutes at an average speed of 90 km per hour. How far does the motorcyclist travel in total?
Answers
Answer:
375 km
Step-by-step explanation:
distance = speed * time
3 hours at an average speed of 80 km per hour
distance = 3 * 80 = 240 km
90 minutes at an average speed of 90 km per hour
90 min = 1.5 hours
distance = 1.5 * 90 = 135 km
Total distance = 240 + 135 = 375 km
someone please help, solve for X
Answers
Answer:
tan70 = x/6 ---> x = 6tan76 = 24.1
If the number 4 is placed at the right end of a two-digit number BC, the value of the three-digit number thus formed is 247 more than BC. What is the original two-digit number BC?
Answers
Answer:
Thus, 40 ÷ 4 = 10 more tables are needed in between the two end tables. ... Let's list all 4 × 3 = 12 possible two-digit numbers that can be made from the four digits ... There are 3 ways to place a 4 and a 1 next to each other; as the first two digits, the middle ... Suppose we extend sides AD and BC to intersect at E, as shown.
Step-by-step explanation:
Is ratio a Mathematical Concept????
Answers
Answer:
Yep!
Step-by-step explanation:
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
The statements that are always true regarding the diagram are:
i. m∠5 + m∠6 =180°
ii. m∠2 + m∠3 = m∠6
iii. m∠2 + m∠3 + m∠5 = 180°
Exterior and interior angles of a triangle.A triangle is a 2 dimensional plane figure which is formed by three straight lines and has three interior angles. It has both interior and exterior angles. Some examples of a triangle are; isosceles, equilateral, scalene, right angled etc.
The interior angles of a triangle are the measure of the three internal angles of the triangle, while exterior angles are external to the interior angles of the triangle.
Note that; the exterior angle of a triangle is equal to the sum of the two adjacent interior angles.
Therefore considering the given diagram, the required statements that are always true regarding the diagram are:
i. m∠5 + m∠6 =180°
ii. m∠2 + m∠3 = m∠6
iii. m∠2 + m∠3 + m∠5 = 180°
A sketch of the diagram is herewith attached to this answer for clarity.
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hello please help i’ll give brainliest
Answers
pangaea
the world was a giant landmass millions of years ago that was called pangaea
Find a basis for the eigenspace corresponding to the eigenvalue. 2-6 Al La 2 = 11 9 A basis for the eigenspace corresponding to a = 11 is a (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed) Find a basis for the eigenspace corresponding to the eigenvalue of A given below. A= 3 02 0 4,2 = 2 2 -3 3 A basis for the eigenspace corresponding to a = 2 is O. (Use a comma to separate answers as needed.)
Answers
A basis for the eigenspace corresponding to a = 11 is (1, -2, 0) and a basis for the eigenspace corresponding to a = 2 is (0,1,1).
An eigenspace is the set of all vectors that are multiplied by a matrix and remain unchanged. In this case, the eigenspace is the set of all vectors that when multiplied by the matrix A will result in a vector with a scalar multiple of the eigenvalue. The eigenvalue is found by solving the characteristic equation, which is the determinant of the matrix minus the eigenvalue multiplied by the identity matrix.
For the matrix A, the eigenvalues are 11 and 2. The corresponding eigenspace for each eigenvalue is then found by solving the homogeneous system of equations. For a = 11, the solution to the system is (1, -2, 0) and for a = 2, the solution is (0,1,1). Both of these vectors form a basis for the corresponding eigenspaces.
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How to solve thiss??
Answers
Answer:
Can I see the photo please
Step-by-step explanation:
question is in the photo, please provide explanation as well
Answers
first we have to multiply the -3 through the parenthesis, get in -3x+9, then distribute 5 through the parenthesis, get in 5-5x
then you have to collect like terms, get in -3x+5x<5-9, it gives 2x<-4
then divide 2 in both sides, and you get the answer B
hello!!!! please help me with this- i will you give brainlist :]
Answers
The completed blanks in the statement are underlined as follows
Standard form: x⁶ + 53x⁵ + 2x⁴ - 2The degree is 6 . The leading coefficient is 1This is called a polynomial because it has 4 termsHow to complete the blanks in the statementFrom the question, we have the following parameters that can be used in our computation:
A mathematical expression
The mathematical expression is given as
2x⁴ + 53x⁵ - 2 + x⁶
The standard form
To do this, we rearrange the expression from the highest power to the least
So, we have the following representation
x⁶ + 53x⁵ + 2x⁴ - 2
The degree
This is the highest power in the expression
So, the degree is 6
The leading coefficient
This is the coefficient of the term that has highest power of x
So, the leading coefficient is 1
The name of the expression
The expression has 4 terms
So, the name is a polynomial
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The moon orbits earth at 384400km. The distance from earth to the sun is 149600000km. The diamiter of the sun is 1391000km. What would the diamiter of earth have to be to appear the same size as the sun from the moon if the celestial objects are in the order shown here : Sun, earth, moon.
Answers
Answer:
The diameter of Earth that would appear the same size as the Sun from the Moon is approximately 54304839.858 kilometers
Step-by-step explanation:
To find the diameter of Earth that would appear the same size as the Sun from the Moon, we need to know the distance from the Moon to the Sun and the distance from the Moon to Earth.
Since the distance from the Moon to the Sun is much greater than the distance from the Moon to Earth, the angle subtended by the Sun at the Moon will be much smaller than the angle subtended by Earth at the Moon.
Therefore, the size of Earth as seen from the Moon will be much larger than the size of the Sun as seen from the Moon.
To find the ratio of the size of Earth to the size of the Sun as seen from the Moon, we can use the formula:
size ratio = (distance to Earth / distance to Sun) x (Sun's diameter / Earth's diameter)
Substituting in the given values, we get:
size ratio = (384400km / 149600000km) x (1391000km / Earth's diameter)
Simplifying, we get:
size ratio = 0.00257 x (1391000km / Earth's diameter)
To find the diameter of Earth that would appear the same size as the Sun from the Moon, we need to solve for Earth's diameter. Dividing both sides of the equation by 0.00257, we get:
Earth's diameter = (1391000km / 0.00257) = 54304839.858km
Therefore, the diameter of Earth that would appear the same size as the Sun from the Moon is approximately 54304839.858 kilometers.
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Can someone help me out with this my grade are bad
Answers
Answer:
(4, 3)
Step-by-step explanation:
hope this helps :)
True or False? A rectangle's area is found by adding the length of the sides and its perimeter is found by multiplying the base by the height.
Answers
Answer: The Answer is false!
Step-by-step explanation:
The area of a rectangle is found by multiplying the length by the width.
What is the nature of roots of quadratic equation x^2 =- 2x 1?
Answers
The nature of roots of quadratic equation x² = -2x + 1 is real and distinct.
The standard form of a quadratic equation is:
ax² + bx + c = 0
The discriminant is defined as:
D = b² - 4ac
Using the value of discriminant, we can determine the nature of roots of a quadratic equation.
If:
D > 0, the quadratic equation has two distinct real roots or the roots are real and distinct.
D = 0, the quadratic equation has 1 real equal roots or the roots are unique
D < 0, the quadratic equation has complex conjugate roots or the roots are imaginary.
In this case, the quadratic equation is:
x² = -2x + 1
transform it into the standard form:
x² + 2x - 1 = 0
Calculate the discriminant:
D = 2² - 4 (-1) = 8
Since D > 0, the roots are two distinct real roots.
Your question is incomplete, but most probably your question was:
What is the nature of roots of quadratic equation x² = -2x + 1?
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Which statement BEST explains why the slope of each line segment formed by the hypotenuse of each triangle is the same?
A)
The triangles are similar.
B)
The triangles are congruent.
C)
The triangles share a point.
D)
The triangles are right triangles.
Answers
Answer:
A
Step-by-step explanation:
Two triangles can be similar if their leg lengths are in proportion with each other, regardless of size. Since the triangles are the same in different sizes, they are similar. The hypotenuse of the triangles isn't the same, but the angles are the same, so the hypotenuse will still follow the same line.
pleaseee solve i need in at least 5 mins
For the function
g(x)=5x−−√
gx=5x
, find
g(3), g(7), and g(11).
g3, g7, and g11.
The find the average rate of change, to the nearest hundredth, over each of the following intervals. (MAFS.912.F-IF.2.6)
A.
3≤x≤7
3≤x≤7
__________
B.
7≤x≤11
7≤x≤11
_________
Answers
3 gal 2 c = ___ fl oz
Answers
Answer:
128 fl oz
Step-by-step explanation:
WZ and XR are diameters of circle C. The diagram is not drawn to scale.
Circle C is shown.
Radii are drawn from point C to point R at the right, point Z at the upper right, point Y at the upper left, point X at the left, and point W at the lower left.
Angle Y C Z measures 112 degrees.
Angle X C W measures 63 degrees.
Points X, C, and R are all on the horizontal diameter of the circle.
What is the measure of convex arc upper Z upper W upper X?
A. 355º
B. 5º
C. 292º
D. 243º
Answers
The measure of convex arc upper Z is 243⁰ Option D
How to find the measure of the angle?We should be aware that a convex angle is the angles that are irregular in nature
Assume that the radius of the given circle is r.
The central angle of the lower arc ZWX = 41+180 = 221⁰
Note that then central angle of the upper arc ZWX = 360- 221⁰
This implies that the central angle of the upper arc ZWX = 360-221 = 139⁰
Recall that Lenght of arc = A/360 *2*π*r
Where A is the angle made by the radii, r= radius of the circle
Arc length of upper ZWX:
Arc length of upper ZWX = 139π/180*r
Arc length of upper ZWX = 139πr/180
The lenght is (139*22)/ 180*7
= 3058/2360
= 245⁰
In conclusion the measure of the convex upper is 245⁰
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Find P (Senior Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman 4 48
Sophomore 5 7 12
Junior 2
35
Senior 1
4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.
Answers
Answer:
2/9
Step-by-step explanation:
senior girls/girls = 4/18 = 2/9
Answer:
2/9
Step-by-step explanation:
what is the answer to 415÷23
Answers
Answer: 18
Step-by-step explanation:
Answer: 18.04347826086957
Step-by-step explanation: you could use a calculator too-
What is the slope of the line
Answers
Answer:
-3
Step-by-step explanation:
can someone please help ( check link for question )
Answers
Hence, The equation of the line is y=5x/3-3
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The line 3x+5y=15 , Rearranging in the slope intercept form we get y=-3x/5+3 and thus slope of the line that is perpendicular to this line must be equal to 5/3 and it passes through (3,2) then we get the equation of the line as y=5x/3+c and putting (3,2) in the equation we get the value of c as c=-3
∴ The equation of the line is y=5x/3-3
Hence, The equation of the line is y=5x/3-3
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Combine like terms, then simplify if need be.
4cx + cx – cx – cx + cx
Answers
Answer:
4cx
hope this helps
have a good day :)
Step-by-step explanation:
How do you decide which technique to use when solving an equation?
Answers
Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.
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What is the total distance travelled?
Answers
It travels 100km in one hour then another 100km in another hour