Answers
x=14.4/9
x=1.6
Answer:
The value of x is 1.6
Step-by-step explanation:
We have been given that triangle CDF ∼ triangle MKP.
Therefore, the ratio of the corresponding sides are equal.
Hence, we have
[tex]\frac{DC}{MK}=\frac{CF}{MP}[/tex]
Plugging the known values, we get
[tex]\frac{9}{1.8}=\frac{8}{0.x}[/tex]
Cross multiplying, we get
[tex]9x=8\times1.8[/tex]
Divide both sides by 9
[tex]x=\frac{8\times1.8}{9}[/tex]
Simplifying, we get
[tex]x=8\times10.2\\\\x=1.6[/tex]
The value of x is 1.6
Related Questions
WILL GIVE A BRAINLIEST IF UR CORRECT PLEASE HELP!!
Find three solutions of the equation.
y = –3x
a.
(3, –9), (0, 0), (–1, 4)
c.
(–2, 6), (3, –9), (2, –7)
b.
(0, 0), (–3, 7), (–2, 6)
d.
(–2, 6), (3, –9), (–4, 12)
Answers
What about the pair (-1, 4)? If you replace x with -1, you get y = -3(-1) = 3, not 4. So (-1, 4) is NOT a solution.
For each answer choice, you have to check all three of the given pairs.
(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.
Can you finish it?
The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2. A. True B. False
Answers
d = √[(x2-x1)^2+(y2-y1)^2]
This can be applied by first applying which is point 1 or point 2. Technically, it does not matter which is which, as long as you are consistent in pairing of the x,y coordinates. In this case, point 1 is (3,7) and point 2 is (x1,y1). Therefore, when you substitute the values, the distance would be
d = √[(x1-3)^2+(y1-7)^2]
The statement is TRUE.
Answer:
true
Step-by-step explanation:
took the test hope this helps
Evaluate f(x) when x=9
Answers
answer
12
f(x) in that range is equal to 12
so f(9)=12
triangle abc is a right triangle. If AC = 4 and BC = 10, find AB. Leave your answer in simplest radical form.
Answers
juanita and lauren are painting a circular mural on one wall of the community center. the area of the mural is 66 square meters. what is the radius
Answers
Final answer:
The radius of Juanita and Lauren's circular mural with an area of 66 square meters is approximately 4.58 meters.
Explanation:
Juanita and Lauren's mural has an area of 66 square meters, and we need to find the radius of the circular mural. To find the radius, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius. Since the area of the mural is 66 square meters, we have:
66 = πr²
To solve for the radius (r), we divide both sides of the equation by π:
r² = 66 / π
Then, take the square root of both sides to get:
r = √(66 / π)
Using a calculator to compute this, we find:
r ≈ 4.58 meters (rounded to two decimal places)
Therefore, the radius of the circular mural is approximately 4.58 meters.
Identify the cross section shown.
circle
trapezoid
rectangle
pentagon
Answers
The cross section shown in the picture below include the following: B. rectangle.
In Mathematics and Euclidean Geometry, a rectangle refers to a type of quadrilateral or polygon in which its opposite sides are equal and all the angles that are formed are right angles.
Generally speaking, a circle has no edge or sides. A trapezoid is a type of quadrilateral that has one pair of parallel sides and one pair of non-parallel sides. Additionally, a pentagon is a regular polygon that comprises 5 sides.
By critically observing the cross section shown in the picture below, we can logically deduce that it represents a rectangle because its opposite sides are equal.
Evaluate. 5.4 - 1.3
Answers
A dresser contains six pairs of shorts one each in the colors, red, black, blue, green, khaki, and gray. The dresser also contains four shirts one each in the colors black, navy, red, gray. Melanie has to get dressed in the dark, so she grabs A pair of shorts and a T-shirt at random. What is the probability that she selects a green pair shorts and a gray T-shirt?
(First of all, Melanie, you should really get a lamp. And second why is it you own more shorts than shirts?)
Answers
---------------------------------------------------------------------
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Work Shown:
A = selects green pair of shorts
B = selects gray t-shirt
P(A) = probability of selecting green shorts
P(A) = (number of green shorts)/(number of shorts total)
P(A) = 1/6
P(B) = probability of selecting gray t-shirt
P(B) = (number of gray t-shirts)/(number of t-shirts total)
P(B) = 1/4
P(A and B) = probability of selecting green shorts AND gray t-shirt
P(A and B) = P(A)*P(B) ... since A and B are independent events
P(A and B) = (1/6)*(1/4)
P(A and B) = (1*1)/(6*4)
P(A and B) = 1/24
Note: The fraction 1/24 is approximately equal to 0.041667
Which is a counterexample that disproves the conjecture? After completing several multiplication problems, a student concludes that the product of two binomials is always a trinomial.
Answers
(x + a) * (x - a) = x^2 - a^2
For example, (x +3) * (x - 3) = x^2 - 9. So, not always the product of two binomials is a trinomial.
What is the answer and steps if x=6
Answers
[tex]Then....[/tex]
[tex]Because, \\ \sqrt{6-5=y}^2 \\ y^2 - 1 = 0 \\ \sqrt{6 - 5} = 1 \\ 1 \neq -1 \\ Answer(maybe) : y = 1 [/tex]
Find the angle between the given vectors to the nearest tenth of a degree. u = <-5, 8>, v = <-4, 8>
Answers
Answer: 5.4 degrees
Step-by-step explanation:
look up online "how to find the angle between 2 vectors, and it'll show you how"
A student performed the following steps to find the solution to the equation x^2-2x-8=0. Where did the student go wrong?
Step 1. Factor the polynomial into (x-4) and (x-2)
Step 2. x-4=0 and x-2=0
Step 3. x=4 and x=3
A. The student did not make any mistakes, the solution is correct
B. in step 1
C. in step 2
D. in step 3
Answers
(Then in step 3 the x=3 is also very wrong, but that looks more like a typo).
(Also, it should be x-4=0 OR x+2=0, there is no x for which both factors are 0 at the same time!)
The variable Z is inversely proportional to X. When X is 6, Z has the value 2. What is the value of z . When x = 13
Round to at least the thousandths place if needed.
Answers
z α 1/x
hence;
z=k/x
where:
k is the constant of proportionality;
when x=6, z=2
therefore;
2=k/6
hence;
k=2*6=12
Therefore:
z=12/x
the value of z when x=13 will be:
z=12/13
the answer is 12/13
What is the equation of the line?
Answers
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Find two ordered pairs and plug them into the slope formula.
After looking at the graph, I found two points: (0, 1) and (4, 4)
[tex]\frac{4 - 1}{4 - 0} = \frac{3}{4}[/tex]
Now find where the line intersects the y-axis.
After looking at the graph, I found out that the line intercepts the y-axis at
(0, 1)
Now build the slope-intercept equation.
General form: y = mx + b
Where m is the slope and b the y-intercept
So, the answer is y = 3/4m + 1
When a line has an undefined slope what will any two points on the line have in common
Answers
Good luck and have a nice day.
The sum of 2 numbers is 7. if one number is subtracted from the other, the result is -1. find the numbers
Answers
Given,
x + y = 7
x = 7 - y
Also given,
x - y = -1
7 - y - y = -1
-2y = -8
y = 4
x = 7 - y = 7 - 3 = 4
Hence, the numbers are 3 and 4.
Given the function f(x) = log3(x + 4), find the value of f−1(3
Answers
y = log(3x + 12)
e^y = 3x + 12
3x = e^y - 12
x = 1/3 (e^y - 12)
Now, swap x and y:
f ⁻¹ (x) = y = 1/3 (e^x - 12)
Secondly and finally, substitute 3 into this eq'n:
f ⁻¹ (3) = 1/3 (e³ -12) = 2.695.....
so 2.695 (to 4 sig.figs/ 3 d.ps)
or if asked for an exact answer then it is just: 1/3 (e³ -12), which can be simplfied to 1/3e³ - 4.
Answer:
23
Step-by-step explanation:
Given : [tex]f(x) = log_3(x + 4)[/tex]
To Find: [tex]f^{-1}(3)[/tex]
Solution:
[tex]y = log_3(x + 4)[/tex]
Replace y with x and x with y
[tex]x = log_3(y + 4)[/tex]
[tex]3^x = y + 4[/tex]
[tex]3^x-4 = y [/tex]
So, [tex]f^{-1}(x)=3^x-4[/tex]
Now substitute x= 3
[tex]f^{-1}(3)=3^(3)-4 [/tex]
[tex]f^{-1}(3)=27-4 [/tex]
[tex]f^{-1}(3)=23[/tex]
Hence the value of [tex]f^{-1}(3)[/tex] is 23
Please help with this question
Answers
For large parties, a restaurant adds a 15% service charge to the bill. how much would be added to a bill of $638.40?
Answers
The service charge accounts for a fixed percentage of your total expenses. If your total expenses amount to $638.40, then the service charge would be equal to 638.4(0.15) = $95.7. Therefore, $95.7 will be added to your original bill.
Answer:
Service charge added to a bill of $638.40 is $95.76 .
Step-by-step explanation:
As given
For large parties, a restaurant adds a 15% service charge to the bill.
Bill of the parties is $638.40 .
15% is written in the decimal form
[tex]= \frac{15}{100}[/tex]
= 0.15
Thus
Service charge = 0.15 × Bill of the parties .
= 0.15 × $638.40
= $ 95.76
Therefore service charge added to a bill of $638.40 is $95.76 .
The rectangle below has an area of x^2-15x+56 x 2 −15x+56 x, start superscript, 2, end superscript, minus, 15, x, plus, 56 square meters and a length of x-7x−7x, minus, 7 meters. what expression represents the width of the rectangle
Answers
The expression that represents the width of the rectangle is x - 8
Area of a rectangle:area = lwl = length
w = width
area = x² + 15x + 56
length = x - 7
Therefore,
x² - 15x + 56 = (x - 7) w
divide both sides by x - 7
w = x² - 15x + 56 / x - 7
w = (x - 7)(x - 8) / x - 7
w = x - 8
learn more on rectangle here: https://brainly.com/question/4529723
What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?
a. 0, −4, −3
b. 0, −4, 3
c. 0, 4, −3
d. 0, 4, 3
Legit answer plz
this is important
Answers
x(x^2-x-12)=0 factor parenthetical expression
x(x^2-4x+3x-12)=0
x(x(x-4)+3(x-4))=0
x(x+3)(x-4)=0
So x=-3, 0, 4
So c) 0, 4, -3
Answer:
The correct option is c.
Step-by-step explanation:
The given function is
[tex]f(x)=x^3-x^2-12x[/tex]
Taking out the common factors.
[tex]f(x)=x(x^2-x-12)[/tex]
Now, factorize the parenthesis.
[tex]f(x)=x(x^2-4x+3x-12)[/tex]
[tex]f(x)=x(x(x-4)+3(x-4))[/tex]
[tex]f(x)=x(x-4)(x+3)[/tex]
Equate the function equal to 0, to find the zeros of the polynomial function f(x).
[tex]f(x)=0[/tex]
[tex]x(x-4)(x+3)=0[/tex]
Using zero product property, we get
[tex]x=0[/tex]
[tex]x-4=0\Rightarrow x=4[/tex]
[tex]x+3=0\Rightarrow x=-3[/tex]
The zeros of the polynomial function f(x) are 0,4,-3. Therefore the correct option is c.
What is the image of point (0,3) for mapping (x,y) (x-2,y-3)
Answers
What is the approximate area of a circle whose radius is 7? steps?
Answers
So plug in your numbers to get
3.14 * 7^2 = 153.94^2
Is the sqr root of 1.21 rational or irrational?
Answers
answer
rational
Solve cos x +sqrt2 = -cos x for x over the interval (0,2pi) .
Answers
Final answer:
The equation cos x + sqrt(2) = -cos x is solved by combining like terms and isolating cos x, resulting in the solutions x = 3π/4 and 5π/4 over the interval (0,2π).
Explanation:
To solve the equation cos x + sqrt(2) = -cos x for x over the interval (0,2π), first combine like terms by adding cos x to both sides of the equation, resulting in:
2 cos x + sqrt(2) = 0
Isolate cos x by subtracting sqrt(2) from both sides:
2 cos x = -sqrt(2)
Divide both sides by 2 to solve for cos x:
cos x = -sqrt(2)/2
The value of cos x = -sqrt(2)/2 corresponds to angles in the second and third quadrants. So, the solutions for x in the interval (0,2π) are:
x = 3π/4, 5π/4
Please help with this question! thanks :)
Answers
the tallest line in the graph is 3
so 3 would be the answer
You invest an initial $2,000 in an account that has an annual interest rate of 6%, compounded daily. How much money will you have in the account after 15 years? Round your answer to the nearest whole number.
Answers
A=p (1+r/k)^kt
A future value?
P present value 2000
R interest rate 0.06
K compounded daily 365
T time 15 years
A=2,000×(1+0.06÷365)^(365×15)
A=4,918.84
Use Gauss-Jordan elimination to solve the following linear system: 5x – 2y = –2 –x + 4y = 4 A. (–6,–5) B. (2,0) C. (0,1) D. (–1,0)
Answers
The answer is C.(0,1)
5x - 2y = -2 -x + 4y = 4
5(0) - 2(1) = -2 -(0) + 4(1) = 4
For the polynomial 8x3y2 – x?y2 + 3xy2 – 4y3 to be fully simplified and written in standard form, the missing exponent on the
Answers
Therefore, the exponent of the x-term must be 2 for the polynomial to be fully simplified and written in standard form.
Answer: 2
Step-by-step explanation: this answer is 100% correct for edge.nuity
Can someone help me
Answers
2.89-2.84 = 0.05 cent increase
0.05/2.84 = 0.0176
0.0176 = 1.8% increase
= (2.89 - 2.84) / 2.84...* 100
= 0.05 / 2.84....* 100
= 0.0176 ...* 100
= 1.76 rounds to 1.8% <===