Answers
Based on the information given about the geometry, the value of CF will b A. 6cm.
How to calculate the valueSince OE and OF are both 4 cm, then OEF is an equilateral triangle. This means that EOF is 60 degrees.
Since AB is 12 cm, then AB is twice the length of OE. This means that ABE is a 30-60-90 triangle.
In a 30-60-90 triangle, the hypotenuse is twice the length of the side opposite the 30 degree angle. This means that CF is 6 cm.
In conclusion, the correct option is A.
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Related Questions
Use the distributive property to multiply (3w + 5)(–2w – 7).
-6w^2+31w+35
6w^2-21w-35
-6w^2-31w-35
6w^2-21w+30
Answers
Answer:
\(=-6w^2-31w-35\)
Step-by-step explanation:
Apply Foil.
\(\left(3w+5\right)\left(-2w-7\right)=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=-6w^2-31w-35\)
What is the solution to the equation?
2(x + 7) 2/3 = 8
Answers
Answer: x = -1
Step-by-step explanation:
simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there
Help pleaseee!! I will give brainlist
Answers
The length FE in the circle is 6 units
The arc AE has a measure of 64 degrees
Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
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Two poles are 80 meters and 60 meters tall. Their bases are located at a distance of
90 meters. A grounding wire needs to connect the top of the poles with each other and the ground. At what point should we connect the wire with the ground if we wanted to use the least amount of wire? Enter the exact value of the answer
how many meters to the right of the pole with height 80 meters?
Answers
The position at which the wire must be connected to the ground so it uses the least amount of wire is given as follows:
51.4 meters to the right of the pole with height 80 meters.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.There are two similar triangles in this problem, with side lengths given as follows:
80 and x.60 and 90 - x.Hence the proportional relationship to find the value of x is given as follows:
80/60 = x/(90 - x).
Symplifying by 20, we have that:
4/3 = x/(90 - x).
Applying cross multiplication, the value of x is obtained as follows:
360 - 4x = 3x
7x = 360
x = 360/7
x = 51.4 meters.
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brainliest to correct wuickly
Answers
Answer:
-1\(\frac{1}{8}\)
Step-by-step explanation:
-1 + 0.125
-1 + \(\frac{125}{1000}\)
-1 + \(\frac{1}{8}\)
Aubrey and Charlie are driving to New York City. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Complete the function that models the distance they drive as a function of time. function notation in slope-intercept form: f(x) = f(x)= 50x + 20 Use the function you wrote in to complete the following: f(1.5) = . The value indicates that after hours of driving, Aubrey and Charlie will have traveled miles.
Answers
Answer:
ttttttttttttttttttttttttttt
Step-by-step explanation:
The movie theater is located 500 kilometers North and 1200 kilometers West of a popular shopping mall. If the locations were placed on a coordinate grid, the shopping mall would be at the origin. What is the distance between the theater and the shopping mall? Round your answer to the nearest kilometer. (Enter number only and NO decimals.) Distance = (answer) kilometers
Answers
Solution
For this case we can do the following plot:
We can find the distance using the Pythagoras theorem and we got:
\(x=\sqrt[]{(500)^2+(1200)^2}=1300\)Then the final answer for this case is:
Distance 1300 km
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
Answers
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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What is the solution to the inequality below?
√x>5
O A. No solutions
O B. O< x< 25
O C. x> 25
O D. x>10
Answers
Answer:
Quadratic Equations
A quadratic equation is one of the form ax2 + bx + c = 0, where a, b, and c are numbers, and a is not equal to 0.
Factoring
This approach to solving equations is based on the fact that if the product of two quantities is zero, then at least one of the quantities must be zero. In other words, if a*b = 0, then either a = 0, or b = 0, or both. For more on factoring polynomials, see the review section P.3 (p.26) of the text.
Example 1.
2x2 - 5x - 12 = 0.
(2x + 3)(x - 4) = 0.
2x + 3 = 0 or x - 4 = 0.
x = -3/2, or x = 4.
Solve for x.
Show work
Answers
Answer:
x=11.34
Step-by-step explanation:
Multiply -5.4 in both sides
x = 11.34
Have a good day ^^
Create an equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power.
a) (0.625)(0.42)2
b) eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
c) (1.6)(0.42)2
d) 0.11
Answers
The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B
Exponential(5/8)^-1 × (0.42)^2
= {1 ÷ (5/8)¹} × 0.42²
= {1 × (8/5)¹} × 0.42²
= (8/5)¹ × 0.42²
Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
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Answer:
(1.6) (0.42)^2 C
Step-by-step explanation:
I had originally put B, but my teacher explained and said its C.
the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C
Find four consecutive even integers whose sum is 108.
24, 22, 20, 18
24, 26, 28, 30
16, 18, 24, 50
26, 28, 30, 32
6, 12, 30, 60
Answers
Answer:
24,26,28,30
by adding them you can get sum =108
24+26+28+30
What is the inverse of the function f(x) = 2x - 10?
GO
h(x) = 2x-5
h(x) = 2x + 5
h(x) =1/2x-5
h(x) =1/2x+5
Answers
Answer:
\(h(x) = \frac{1}{2} x+ 5\)
Step-by-step explanation:
To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:
y = 2x - 10
Switch positions:
x = 2y - 10
Add '10' to both sides to begin simplifying:
x + 10 = 2y
Divide both sides by 2:
\(y= \frac{x+10}{2}\)
This can be rewritten as:
\(y = \frac{1}{2} x+ 5\)
Therefore, the inverse of the function is:
\(h(x) = \frac{1}{2} x+ 5\)
180+0.055x=0.045(4500+x)
Answers
Answer:
x=2,250
Step-by-step explanation:
let m>0. match each inequality with its graph. Explain your reasoning.
Answers
Answer:
a. C
b. A
c. B
d. D
Step-by-step explanation:
\(a.\ \ \frac{x}{m} < -1 \Longleftrightarrow x < -m\)
Then
The graph that represents the inequality is C.
\(b.\ \ \frac{x}{m} > 1 \Longleftrightarrow x > m\)
Then
The graph that represents the inequality is A.
\(c.\ \ \frac{x}{m} < 1 \Longleftrightarrow x < m\)
Then
The graph that represents the inequality is B
\(d.\ \ -\frac{x}{m} < 1 \Longleftrightarrow -x < m \Longleftrightarrow x > -m\)
Then
The graph that represents the inequality is D.
Please answer this question for me
Answers
Answer: B
Step-by-step explanation:
The vertical asymptotes are at x=-4 and x=1, so the denominator needs to have factors of (x+4) and (x-1).
This eliminates everything except for B.
Mrs. Smith gave her Algebra class the following linear equation as part of their warm-up.
Picture attached!!
A.Both Maryanne's and Herb's equations have a different solution than the original.
B.Only Herb's equation has the same solution as the original equation.
C.Only Maryanne's equation has the same solution as the original equation.
D.Both Maryanne's and Herb's equations have the same solution as the original.
Answers
Answer:
C.Only Maryanne's equation has the same solution as the original equation.
The solution is : 39 is the solution to Mr. Smith's equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
the equation is:
(16-2w)^2 + (3y÷3z)
Let w=5 y=9 and z=3
(16-2*5)^2 + (3*9÷3*3)
PEMDAS says parentheses first
Multiply and divide in the parentheses
(16-10)^2 + (27÷9)
Then add and subtract in the parentheses
(6)^2 + (3)
Now the exponent
=36 +3
=39
Hence, The solution is : 39 is the solution to Mr. Smith's equation.
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complete question:
What is the solution to Mr. Smith's equation?
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if corect
Answers
If John solved the equation x² - 10x +8=0 by completing the square, one of the steps in his process would
be:
(z-5)² = 17
(z+4)² =10z+16
(z+4)² =10z
(2-5)² = -8
Answers
If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 10x + 8 = 0
x² - 10x = -8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 10x + (-10/2)² = 8 + (-10/2)²
x² - 10x + 25 = -8 + 25
x² - 10x + 25 = 17
By simplifying, we have;
(x - 5)² = 17
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The figure to the right shows the distance-time graph for a muscle car accelerating from a standstill. Use the information in the figure to answer parts (a) and (b). The table below lists the coordinates of the points.
Answers
The acceleration of the car is 8 m/s^2.
The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.
Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.
(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m
(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2
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Mrs. bell wrote the expanded form of a number, as shown. 5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000
Answers
Answer:
546.208
Step-by-step explanation:
Let's break this down.
5 x 100 = 500
4 x 10 = 40
6 x 1 = 6
2 x 1/10 = .2
8 x 1/1000 = .008
Now, let's add to find the number.
500 + 40 + 6 + .2 + .008 = 546.208
Therefore, the number in standard form is 546.208
The final answer of Mrs. bell expression will be 546.208
What is distributive property of multiplication over addition ?
If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.
the expanded form of a number is written as :
5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000
Let's calculate it bit by bit :
\(\begin{aligned}5 \cdot 100 = 500\\4 \cdot10 = 40\\6 \cdot 1 = 6\\2 \cdot \frac{1}{10} = .2\\8 \cdot \frac{1}{1000} = .008\\\end{aligned}\)
Now, let's add all the terms we get :
500 + 40 + 6 + .2 + .008 = 546.208
Therefore, the number in standard form of expression written by Mrs. bell is 546.208
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John started with $35 to spend at the state
fair. His ticket cost $20 and then he bought 2
pretzels for $6 each. He wants to get an
unlimited game pass that costs $15. How much
more money does he need to afford the
unlimited game pass?
Answers
Answer:
$12 is your answer, he needs $12 more dollars to buy the unlimited game pass.
Step-by-step explanation:
20 + 6 + 6 =32
35-32=3
15-3=$12
Rachel drew the two graphs below. Graph R On a coordinate plane, a line goes through points (0, 0) and (2, 1). Graph S On a coordinate plane, a line goes through points (0, 0) and (1, 2). Rachel says that Graph R has a greater constant of variation than Graph S. Which statement explains whether Rachel is correct? Rachel is correct; Graph S is nonproportional. Rachel is correct; Graph R goes farther along the x-axis. Rachel is not correct; both graphs go through the origin and have the same constant of variation. Rachel is not correct; Graph S is steeper than Graph R.
Answers
Answer:d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Explain the meaning of the term floor plan in this context
Answers
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
THIS PIC WILL ALSO HELP U
square root of 1147535
Answers
Substitute the supplied value and simplify both sides of the equation, if necessary. Then decide if the supplied value is or is not a solution.
m + 2(m + 1) = 14 {4}
Answers
The equation simplifies to 14 = 14, which is a true statement.
What is the purpose of the equation?In mathematics, an equation is defined as a set of numbers that contains operations and may contain a variable. Equations are used to solve for these unknown variables using various operations such as addition, subtraction, multiplication and division.
Replacing m by 4, we get:
m + 2 (m + 1) = 14
4 + 2 (4 + 1) = 14
4 + 2(5) = 14
4 + 10 = 14
14 = 14
The equation simplifies to 14 = 14, which is a true statement. Therefore, the given value 4 is a solution to Eq.
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Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-4,-2);
y = 2.c + 6
y = -32 – 14
Yes
No
O Maybe
Answers
Answer:
Yes
(-4,-2) is a solution of a given system of equation
Step-by-step explanation:
Explanation:-
Given that the equation
y = 2 x + 6 ..(i)
Given point (-4,-2)
substitute x =-4 and y = -2 in equation (i)
-2 =2(-4) +6
-2 = -8+6
-2 =-2
∴ The point satisfies the given equation
Can someone please help me with this problem?
Answers
Answer:
C 6
Step-by-step explanation:
Pythagoras
c² = a² + b²
117 = x² + (x+3)² = x² + x² + 6x + 9 = 2x² + 6x + 9
=>
108 = 2x² + 6x
54 = x² + 3x
0 = x² + 3x - 54 = (x-6)(x+9)
just think by what numbers can we divide 54 without any remainder (so that when multiplying we get 54) ? and which pair of these have a difference of 3 (so that with +/- combination we get "3x" in the multiplication)?
the solutions for x are the 2 numbers that would make one of the bracket expressions 0, as this turns the whole expression to 0.
x = 6 and x = -9
a negative number does not make any sense for a side length.
so, the only possible solution is x = 6
David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?
Answers
Answer:
David share is 36 sweets
Step-by-step explanation:
let Lucy share be x
let David share be y
Lucy has 27 more
x=y+27
total sweet is x+y
y+27 +y= 2y+27
total ratio = 4+7=11
David share=
\(y = \frac{4}{11} \times (2y + 27)\)
\(11y = 4(2y + 27)\)
\(11y = 8y + 108\)
\(11 y- 8y = 108\)
\(3y = 108\)
y=108/3= 36
2. Solve: 7(5x-2) = 6(6x - 1).
Answers
Answer:
-8
Step-by-step explanation:
35x-14=36x-6
35x-36x=-6+14
-x=8
x=-8