If BC = 4.5, CD = 7.7, and AD = 16.7, find AB to the nearest tenth.
A. 2.1
B. 28.6
C. 9.8
D. 2.2
Answers
[tex]9.8[/tex]
EXPLANATION
Triangle ABC is similar to triangle ADC,
therefore the corresponding sides sides are in the same proportion.
[tex] \frac{AB}{AD} = \frac{BC}{CD} [/tex]
We substitute the values to obtain,
[tex] \frac{AB}{16.7} = \frac{4.5}{7.7} [/tex]
We multiply through by
[tex]16.7[/tex]
to get,
[tex] AB= \frac{4.5}{7.7} \times 16.7[/tex]
This simplifies to give us,
[tex] AB= 9.75940259402....[/tex]
To the nearest tenth,
[tex] AB= 9.8[/tex]
The correct answer is C
Related Questions
The graphs of f(x) = 10x and its translation, g(x), are shown.
What is the equation of g(x)?
g(x) = 10x – 3
g(x) = 10x + 3
g(x) = 10x – 3
g(x) = 10x + 3
Answers
Answer:
The equation for the function g(x) is:
[tex]g(x)=(10)^{x-3}[/tex]
Step-by-step explanation:
We are given graphs of two functions f(x) and g(x).
The function f(x) is an exponential function and is given by:
[tex]f(x)=(10)^x[/tex]
Now, we are asked to find the equation for the transformed function g(x).
We could see that the graph of the function g(x) passes through (3,1),(4,10) , (5,100) and so on.
This means that the equation or the expression for the function g(x) is given by:
[tex]g(x)=(10)^{x-3}[/tex]
( Since, when x=3 we have:
[tex]g(x)=(10)^{3-3}=10^0=1[/tex]
when x=4 we have:
[tex]g(x)=(10)^{4-3}\\\\g(x)=(10)^{1}\\\\g(x)=10[/tex]
and so on)
Answer:
(x)=(10)^(x-3)
Step-by-step explanation:
Just did it on edge 2020 :) Hope i helped!!
Let h = (v0^2)/4.9 sin(theta)cos(theta) model the horizontal distance in meters traveled by a projectile? If the initial velocity is 52 meters/second, which equation would you use to find the angle needed to travel 200 meters?
A) 275.92sin(2Theta)=200
B) 551.84sin(2Theta)=200
C) 200sin(2 Theta)=200
D)10.61sin(2THeta)=100
Answers
[tex]d= \frac{V_{0}^{2}}{4.9} sin\theta cos\theta[/tex]
where
V₀ = initial velocity, m/s
Note that
sin(2θ) = 2sinθ cosθ
Therefore, the horizontal distance traveled is
[tex]d= \frac{V_{0}^{2}}{4.9} ( \frac{sin(2\theta)}{2} )= \frac{V_{0}^{2}}{9.8} sin(2\theta)[/tex]
Because V₀ = 52 m/s, in order to travel a horizontal distance of 200 m, the correct equation to determine θ is
(52²/9.8) sin(2θ) = 200
or
275.92 sin(2θ) = 200
Answer: A
Answer:
A) 275.92sin(2Theta)=200
a p e x
What is the slope of the line that contains the points (-4,2) and (6,-3)
Answers
slope = (-3 - 2) / (6 - (-4) = -5/10 = 1/2 <=
Factor completely 16a^3b^7 + 2a^6 b4 − 22a ^4 b^5.
2(8a3b7 + a6b4 − 11a4b5)
2a3b4(8b3 + a3 − 11ab)
a3b4(16b3 + 2a3 − 22ab)
8b3 + a3 − 11ab
Answers
so it would become 2a^3b(8b^6 + a^3 * 4 - 11ab^4)
then you would use the communitive property to re order the terms
so your answer is 2a^3b * (8b^6 + 4a^3 - 11ab^4)
Answer:
2a3b4(8b3 + a3 − 11ab)
The results of a study indicate that the mean weight of adult skunks in an area is between 4.3 kg and 4.9 kg. What is the study’s margin of error?
Answers
Since we are given the range of the area, the margin of error can be calculated by firstly calculating the difference of the range and dividing by 2. This is expressed in this formula:
Margin of error = ± (Upper range – Lower range) / 2
Margin of error = ± (4.9 kg – 4.3 kg) /2
Margin of error = ± 0.3 kg
Which number is the largest? 1.2 × 104, 4.5 × 10−3, 3.8 × 103, 7.5 × 103
1.2 × 104
4.5 × 10−3
3.8 × 103
7.5 × 103
Answers
4.5 x 10^-3 = 4.5 x 1/(10^3) = 4.5/1000 = 0.0045
3.8 x 10^3 = 3,000
7.5 x 10^3 = 7,000
largest is 1.2 x 10^4
Answer: 1.2 x 10^4
Step-by-step explanation:
pls hit thanks and rate!
How to draw exactly two planes intersect the third plane does not intersect the other two?
Answers
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $2510 to rent trucks plus an additional fee of $125.25 for each ton of sugar. The second company does not charge to rent trucks but charges $250.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?
Answers
2510 = 250.75s - 125.25s
2510 = 125.50s
2510 / 125.50 = 20 = s.......they charge the same at 20 tons of sugar
they will both cost : 250.75(20) = $ 5015
The two companies charge the same when transporting 20 tons of sugar, for $5015 for transporting that amount.
To determine what amount of sugar the two companies charge the same, we should set up an equation where both companies' cost functions are equal. For the first company, the cost function is C1 = 2510 + 125.25x, where x is the number of tons of sugar. For the second company, the cost function is C2 = 250.75x. To find the point at which C1 equals C2, we solve for x:
2510 + 125.25x = 250.75x
Subtract 125.25x from both sides:
2510 = (250.75 - 125.25)x
2510 = 125.5x
Divide both sides by 125.5:
x = 2510 / 125.5
x = 20 tons
Therefore, the two companies charge the same for transporting 20 tons of sugar. To find the cost when they charge the same, substitute x into one of the cost functions:
C1 = 2510 + 125.25(20) = 2510 + 2505 = $5015
Thus, the cost when the two companies charge the same is $5015 for 20 tons of sugar.
A square is inscribed in the circle. A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
Answers
Probability (the point will be on unshaded part) = area of unshaded part / area of the circle.
= pi r^2 - s^2
-------------- where r = radius of circle and s = length of the side of the square.
pi r^2
To find the probability of selecting an unshaded area within a circle where a square is inscribed, one must calculate the areas of the shaded and unshaded regions and use these areas to determine the ratio representing the probability.
The question seeks to determine the probability that a randomly selected point within a figure that includes both a circle and a square will be in the unshaded area. To solve this problem, we would typically need to calculate the area of the shaded and unshaded regions and then use these areas to determine the probability. When calculating probability in a geometric context, the ratio of the area of the desired region to the area of the entire space (in this case, the circle) gives the probability of randomly selecting a point in that region.
Similarly, if the question pertained to the probability of selecting a chord shorter than the side of an inscribed equilateral triangle, we would consider the probability distribution of chord lengths within the circle. This problem involves understanding that selecting a chord at random equates to selecting its midpoint at random. If the midpoint lies within a certain area, the chord will be shorter than the triangle's side.
When dealing with probability questions like the one about Times Square visitors, the random variable would typically represent the characteristic we're interested in, such as being a visitor versus a resident. In evaluating probabilities, graphical methods, such as shading areas on a graph, can be useful to visually represent and calculate the likelihood of a specific range of outcomes.
Write the following fractions as decimals 2/10,3/100
Answers
2/10=.50
3/100=.03 (divide 3 by 10=.03)
Answers:
A. .2
B. .03
C. .093
D. .1456
Have a blessed day ☺️
What is the sign of the product (−4)(6)(9)(3)?
A) Positive, because the products (−4)(6) and (9)(3) are negative and the product of two negative numbers is positive
B) Positive, because the products (−4)(6) and (9)(3) are positive and the product of two positive numbers is positive
C) Negative, because the product (−4)(6) is negative and the product (9)(3) is positive, and the product of a negative number and a positive number is negative
D) Negative, because the product (−4)(6) is negative and the product (9)(3) is negative, and the product of two negative numbers is a negative number
Answers
(9)(3)= 27
The answer is -648 so it can't be A or B.
It cannot be D because it says the product of two negative numbers is a negative number. Also, (9)(3) is positive 27, not negative. Therefore, C is the correct answer.
Hello,
The correct answer is C) Negative, because the product (-4)(6) is negative and the product (9)(3) is positive, and the product of a negative number and a positive number is negative.
Hope this helps!!!!
Given triangle JKL.
Write the coordinates of vertex J and its reflection J' across the y-axis.
Answers
When reflected across the y-axis, the y-coordinate remains unchanged. The x-coordinate changes to 5.
Therefore the reflected coordinates of J are (5, -2).
The reflected image is shown in red color in the picture below.
Answer:
After reflection across the y-axis, J' has coordinates (5, -2).
Answer:
(5, -2) = J'(-5, -2) = JStep-by-step explanation:
Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Answers
210*0.05= 10.5 g salt
The rest of the amount, determined by difference, is the amount of solvent which is water.
water = 210-10.5 = 199.5 g salt
To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant.
Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%
PLZ HELP ME! NEED THE ANSWER AS SOON AS POSSIBLE! WILL REWARD THE BRAINLIEST: The table below shows the distance y, in miles, traveled by a truck in x hours: Time (x) (hours) 1 2 3 4 Distance (y) (miles) 50 100 150 200 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the truck. [Choose the value of the correlation coefficient from 1, 0.8, 0.5, 0.02.] (4 points) Part B: What is the value of the slope of the graph of distance versus time between 3 and 4 hours, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)
Answers
Time (x) (hours) 1 2 3 4
Distance (y) (miles) 50 100 150 200
I used excel to plot this data and get an equation and the value of r to anwer the following questions.
Part A: The most likely value of the correlation coefficient of the data in the graph is 1, meaning that the distance travelled by the truck and the time it takes to travel is directly related or directly proportional.
Part B: From the graph, i got an equation y = 50x with a slope of 50.
Part C: The table presented above is a correlation because both variables are directly related and forms a straight line rising to the right.
A rectangle is 13 centimeters longer than it is wide. Its perimeter is 226 centimeters. What are the length and width?
Answers
let length be x+13
perimeter=2*(L+W)
226=2*(x+x+13)
226=2*(2x+13)
226=4x+26
subtract 26 from each sides
200=4x
x=50, which is the width
length=63
Based on its degree, what kind of polynomial is this? h(x)=-x^2+2x-5
Answers
What is the value of x?
A. 68°
B. 62°
C. 112°
D. 124°
please show your work
Answers
As the sides that subtend the angle x are of equal lengths and are joined to form a triangle, we know the only other angle (the blank one) is going to also be 56° and since angles in a triangle always add up to 180°, we just have to do:
180 - (2 × 56) = 68°
If you take a certain number and add a zero to the right of it and subtract the result from 143, you'll get the tripled imagined number. What is the imagined number?
Answers
Final answer:
To find the imagined number, we need to follow the given steps: add a zero to the original number, subtract it from 143, and set the result equal to the tripled imagined number.
Explanation:
To find the imagined number in this question, we need to follow the given steps. Let's assume the original number is x. Adding a zero to the right of it gives us 10x. Subtracting this result from 143 gives us 143 - 10x. According to the question, this result is equal to the tripled imagined number, so we have 143 - 10x = 3x. To solve for x, we can rearrange the equation as 143 = 13x, and then divide both sides by 13. Therefore, the imagined number, x, is 11.
The figure below is a square pyramid. Which of the following could not be a cross section in the figure?
Square
Rectangle that is not a square
Trapezoid
Isosceles triangle
Answers
Answer:
A rectangle that is not a square is the actual answer.
Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
Answers
the mindpoint of 2 points (x1,y1) and (x2,y2) is
((x1+x2)/2,(y1+y2)/2)
so midpoint is ((4+2)/2,(1-5)/2)=(6/2,-4/2)=(3,-2)
now find the slope of the line
it is perpendicular to the line with (4,1) and (2,-5)
find the slope of th eline passing through (4,1) and (2,-5)
slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
so the slope between (4,1) and (2,-5) is
(-5-1)/(2-4)=-6/-2=3
perpendicular lines have slopes tha tmuliplty to get -1
3 times what=-1
what=-1/3
so what is the equation of a line that passes through the point (3,-2) and has a slope of -1/3
the equation of a line that has a slope of m and passes through (x1,y1) is
y-y1=m(x-x1)
so
y-(-2)=-1/3(x-3)
y+2=-1/3(x-3)
if we want slope intercept form
y+2=-1/3x+1
y=-1/3x-1
if we want standard form
1/3x+y=-1
x+3y=-3
Answer:
The correct answer is x+3y=-3
Step-by-step explanation:
My fist step to solving this question would be to find the mid-point of the given line. The mid point of (4,1) and (2,-5) is (3,-2). The mid point is where the perpendicular bisector connects or bisects the given segment. My second step would be to graph the two given points and to connect them, forming a line. This way, I would know the slope of the line and then I would be able to find the slope of the perpendicular bisector, since the slope for perpendicular lines is the opposite reciprocal of the given line. In doing this, I discovered that the slope of the segment with the given endpoints is 3 which means that the slope of the perpendicular bisector will be x. So, so far we've got a point of intersection and a slope which is all we need to formulate the equation of the line that we are looking for.
In the end, our answer will be x+3y=-3.
what is the resulting number when you add 4 tens and 3826
Answers
Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it.
Answers
k = y/x
test some of the values in table :-
y/x = -17/9 and -1/11 - not equal so not direct
For indirect yx will be a constant :=
yx = 9*-17 , 11*-1 - s it not indirect variation.
Answer is neither
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period. What is a cosine function that models this reaction?
f(t) = −30 cos (pi/3) t + 20
f(t) = −60 cos (pi/3) t + 30
f(t) = 30 cos (6t) + 20
f(t) = 60 cos (6t) + 30
Answers
so it's the first one or the third one
(period)T=2pi/a
6=2pi/a
a=pi/3
the first one is the answer
Answer:
Option 1 - [tex]f(t)=-30 sin(\frac{\pi}{3}t)+20[/tex]
Step-by-step explanation:
Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.
To find : What is a cosine function that models this reaction?
Solution :
General form of cosine function is [tex]f(x)=A cos(Bx)+C[/tex]
Where A is the amplitude
[tex]B=\frac{2\pi}{\text{Period}}[/tex]
C is the midline
Now, We have given
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.
A is the average of temperature,
i.e, [tex]A=\frac{-10-50}{2}=-30[/tex]
Period of 1 cycle is 6 hour
So, [tex]B=\frac{2\pi}{6}=\frac{\pi}{3}[/tex]
The temperature is at its lowest point when t = 0 and we know lowest point is -10
So, [tex]f(t)=A\cos t+C[/tex]
[tex]-10=-30\cos 0+C[/tex]
[tex]C=20[/tex]
Substituting the values we get,
The cosine function is [tex]f(t)=-30 sin(\frac{\pi}{3}t)+20[/tex]
Therefore, Option 1 is correct.
Given: QR = 59; RT = 59 Prove: QR = RT StatementsReason 1. QR = 59; RT = 591. Given 2. 59 = RT2. Symmetric Property of Equality 3. QR = RT3. Which property listed below is the final reason in the proof.
Answers
Answer:
By using transitive property
QR=RT
Step-by-step explanation:
Given
QR=59
RT=59
To prove that QR=RT
1. Statement QR=59; RT=59
Reason : Given in the question.
2. Statement: 59=RT
Reason: By using symmetric property of equality .
Symmteric property is that property of equality
if
ab=bc
Then ,
bc=ac
3. Statement: QR=RT
Reason: By using transitive property of equality.Transitive property : If ac=bc
and bc=ca
Then , ab=ca
Hence proved.
Find the standard form of the equation of the parabola with a focus at (-8, 0) and a directrix at x = 8
Answers
Answer:
x = -1/32 * y^2
Step-by-step explanation:
Kim's softball team is playing in the championship game. they are losing by a score of 171717 to 666. there are 444 innings to go. kim wants to know how many runs her team needs per inning to win the game if the other team does not score. (each run is worth 111 point.)
Answers
answer is : 4 runs per inning to win
what is another name for the set of all x-values from its graph
Answers
The cartesian coordinate system can be used to describe three dimensional space using three axes insyead of two. what are the labels
Answers
A certain forest covers an area of
4000
km2
. Suppose that each year this area decreases by
5.25%
. What will the area be after
14
years?
Answers
A = P(1-r)^t
A = 4000(1-0.0525)^14
A = 4000(0.9475)^14
A = 4000(0.9475)^14
A = 4000(0.470012124)
A = 1880.048
the answer is roughly 1880 square km
Answer:
Step-by-step explanation:
Thast 6% I don’t know why it’s tuping my answers different ?? I need help for this one
how much money will you have if you started with $1000 and put it in an account that earned 5% every year for 15 years
Answers
Hope this helps!