Using the slope concept, it is found that the base of the mirror will be 1.75 feet from the wall.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the vertical change is of 7 ft, with an angle of 76º, and the distance is the horizontal distance, hence:
tan(76º) = 7/d
d = 7/tan(76º)
d = 1.75.
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Which table represents a linear function?
Please hurry I have to finish this soon!
Answer:
C
Step-by-step explanation:
A linear function is the repeating of the same word. Therefore, C would be the correct option. Due to the order 3 9 3 9, this is a linear function. This is just the most logical answer. Please let me know if I am wrong. Sorry if I am :(
What is the unknown fraction?
four tenths plus blank equals seventy three hundredths
seventy seven hundredths
one hundred forty six hundredths
thirty three hundredths
sixty nine hundredths
Answer:
thirty three hundredths
Step-by-step explanation:
4/10 + ? = 73/100
4/10 is the same as 40/100
73-40=33
33/100
PLS HELP ME ON THIS PROBLEM ASAP THANK YOU :)
Answer:
x= 14
Step-by-step explanation:
When the triangles are similar, they should have a similar ratio that makes one side equal to another. In this case, the ratio is 1.5 as 24 divided by 16 is 1.5. Now, taking the side that is "similar" to the x-value which is 21, we divided 21 by 1.5 resulting in x= 14.
Answer:
x = 14
Step-by-step explanation:
24/21 = 1.14285714286
16/14 = 1.14285714286
Have a nice day! :)
8. What is the distance around the clock?
1 point
12
11
10
2
-9
8
4
N
5
11 in
O 11 in
O 5.5 in
03.14(11)
O 3.14(5.5)^2
Answer:
The clock face is divided into sixty equal parts, each minute. The minute hand is located on the 20 minute mark at 6:20, the hour hand located between the 30 minute mark and the 35 minute mark. When the minute hand goes all sixty minutes, the hour hand only moves five, so to figure out the location of the hour hand, we look at how much the hour has progressed, in this case 20 minutes, or one third of the hour. So the minute hand has moved one third of the way through the hour, so has the hour hand moved one third of the way through the five minutes, or, five thirds of a minute, which is one and two thirds minute, one minute forty seconds. That puts the hour hand at thirty minutes plus one minute and forty seconds—at 31min 40sec—which is 11min 40sec farther than the minute hand.
Step-by-step explanation:
I think i needs i lil help
the last one is- 5/6 0.8333 %0.8333
3/5 0.6 %0.6
1/5 0.2 %0.2
1/4 0.25 %0.25
Hope this helps you!! :)
4. Can the following list represent a complete probability model?
P(2) = 1/12
P(3) = 2/3
P(4) = 1/4
Answer:
Yes
Step-by-step explanation:
A complete probability model should sum up the probability to 1
by adding them up, you will find the sum as 1/12 + 8/12 + 3/12 = 12/12
So, they can be a complete probability model with 3 outcomes "2", "3" & "4"
Kohl's needed to get her computer fixed she took it to the repair store the technician at the store worked on the computer for 6 hours and charged her $59 for parts. The total was $749.
Answer:
$115
Step-by-step explanation:
The cost of the labor per hour is $115.
The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.
Total charge = cost of total hours worked + cost of parts
$749 = $59 + cost of total hours worked
Cost of total hours worked = $749 - $59
Cost of total hours worked = $690.
orge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
Jorge should graph in the vertical line with values of –4 for the line of reflection.
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
Jorge will not move any point that lies on the line of reflection.
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Jorge could check his work by making sure that the image has the same orientation as the original.
The statement second, statement fourth, and statement fifth are correct as the reflection line is y = -4.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have:
Jorge needs to reflect a figure across the line y = -4
Here, y = -4 is a vertical line.
The correct statements regarding the steps he could take to complete the reflection are:
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.Jorge will not move any point that lies on the line of reflection.Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.Thus, the statement second, statement fourth, and statement fifth are correct.
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3+6log9(-b+ 7) = −9
Solve for B
Answer:
b=566/81
Step-by-step explanation:
b=566/81
Construct a confidence interval of the population proportion at the given level of confidence. X=540
The lower bound of the confidence interval is 0.55.
What is the confidence interval of the population proportion?A confidence interval for a proportion is a range of values that is likely to contain a population proportion with a certain level of confidence.
Construct a confidence interval of the population proportion at the given level of confidence x equals = 540, n equals = 900, 96% confidence.
The value of p is;
[tex]\rm p=\dfrac{x}{n}\\\\p =\dfrac{540}{900}\\\\p=0.6[/tex]
The standard error of the proportion is:
[tex]\rm \sigma_p=\sqrt{\dfrac{p(1-p)}{n}} \\\\ \sigma_p=\sqrt{\dfrac{0.6(1-0.6)}{540}} \\\\ \sigma_p=\sqrt{\dfrac{0.6\times 0.4}{540}} \\\\ \sigma_p=\sqrt{\dfrac{0.24}{540}} \\\\ \sigma_p=\sqrt{0.00044}\\\\ \sigma_p=0.02[/tex]
The critical z-value for a 94% confidence interval is z = 2.04
The margin of error (MOE) can be calculated as:
[tex]\rm Margin \ of \ error=\sigma_p \times z =2.04 \times0.02 =0.04[/tex]
Then, the lower bound of the confidence interval is;
[tex]Lower \ bound =p-x\times \sigma_p=0.6-0.04=0.55[/tex]
Hence, the lower bound of the confidence interval is 0.55.
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its about percentages
Answer:
D) 80%
Step-by-step explanation:
To find the fraction of women surveyed who prefer salads, we need to know something about how many were surveyed, and how many of those preferred salads.
For this purpose, we can effectively ignore the percent signs in the table, and consider that it represent 100 people surveyed.
__
Of the 100 people surveyed, 40 were women. Of the 40 women, 32 preferred salads. That is, 32/40 = 8/10 = 80% of the women surveyed preferred salads.
_____
Additional comment
When dealing with percentages, one must always keep in mind the base the percentage is referring to. For all of the numbers in the table, the base is the total number of participants in the survey.
For the percentage that is the answer to the question, the base is the number of women surveyed (or something proportional to that number).
A spinner is divided into four sections, not equally sized, of four colors. Ra
below.
Color Frequency
Red 46
Blue 64
Yellow 52
Green 38
What is the experimental probability of the spinner stopping on green?
The high school near Washington school decides to hold their own walking backwards race. They find that the average high school student can walk1/3 of a mile in 12 minutes. How many miles would the average high school student cover in 30 minutes? Explain your reasoning.
A rectangle measures 2
3
4
inches by 2
1
4
inches. What is its area?
Answer:
50,076 square inches
Step-by-step explanation:
Can someone help me with this question?
option B and option D
hope it helps...!!!
Write down the pair of integers whose difference is -6
Answer:
Step-by-step explanation:
10 - 16 = -6
15 - 21 = -6
please help asap (pictures below!!)
Answer:
8. P = 48 cm A = 83
9. P =32 cm A = 60
Step-by-step explanation:
P = add all sides together
A = base times height
Answer:
8. P = 48 cm, A = 83 cm²
9. P = 36 cm, A = 56 cm²
Step-by-step explanation:
The trick with irregular shaped objects areas is to split them up into several rectangles. Perimeters is just filling in the missing sides using the other sides and adding them all up.
After finding the missing sides for the first figure, the perimeter would be:
5 + 10 + 4 + 3 + 11 + 3 + 2 + 10 = 48 cm
For the area, we split the figure into the vertical rectangle on top and the horizontal rectangle on the bottom. You'll see that the vertical rectangle has an area of 50 squared cm (5 * 10), while the area of the other rectangle is 33 squared cm (3 * 11), so the area of the whole figure is 50 + 33 = 83 squared cm.
Use this same method for the next figure, and you should get that the perimeter is 36 cm and the area is 56 squared cm.
Hope this helps
The Pythagorean Theorem can be used to find the missing side length of a triangle when two other side lengths are known.
Consider the following measurements.
A=20
B=?
C=29
Use the formula c=√a^2+b^2 a modified version of the Pythagorean Theorem, to find the missing side length, b.
What is the value of b?
(NOT C)
A. 21
B. 35.2
C. 441 XXX
D. 840.8
Answer:
The value of b is 21
Step-by-step explanation:
29=√20^2+b^2
or, 29=√400+b^2
or, 841=400+b^2
or, 841-400=b^2
or, √441=b
b=21
The path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary. If all the experiments that followed met or exceeded this path, which quadratic inequality in standard form contains the points in the later experiments?
The equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The path of the launched projectile will a parabola.
We have the vertex of the parabola (5, 120)
The standard equation in terms of vertex (h, k)
[tex]\rm y = a(x-h)^2+k[/tex]
Plug the points:
[tex]\rm y = a(x-5)^2+120[/tex]
To find the value of “a” plug point (25, 80)
[tex]\rm 80 = a(25-5)^2+120[/tex]
a = -1/10
Plug this into the equation;
The path of the equation:
[tex]\rm y = \dfrac{-1}{10}(x-5)^2+120[/tex]
Thus, the equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.
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The table displays the number and type of tickets bought for a play that was performed in both the afternoon and evening. Apply the addition rule to find “a child ticket is bought for a play” and “the play is performed in the afternoon.”
A) 48/363
B) 175/363
C) 163/363
D) 36/363
The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" is 36/363.
What is the probability?Probability is the likelihood that a stated event would occur. The probability that the event would happen lies between 0 and 1.
The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" = 36 / total number of tickets bought
36 / (36 + 12 + 127 + 188) = 36 / 363
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The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the approximate length of the radius of the circle?
A 5.19 units
B 3.51 units
C 11.03 units
D 10.38 units
Answer:
A. 5.19 units
Step-by-step explanation:
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}[/tex]
Given:
[tex]\theta[/tex] = 81°Arc length = 7.34 unitsSubstituting given values into the equation and solving for r:
[tex]\implies 7.34=2 \pi r\left(\dfrac{81^{\circ}}{360^{\circ}}\right)[/tex]
[tex]\implies 7.34=r\left(\dfrac{18 \pi}{40}\right)[/tex]
[tex]\implies 7.34 \cdot 40=18 \pi r[/tex]
[tex]\implies 293.6=18 \pi r[/tex]
[tex]\implies r=\dfrac{293.6}{18 \pi}[/tex]
[tex]\implies r=5.19 \sf \: units \:(2\:dp)[/tex]
Answer:
A) 5.19 units
Step-by-step explanation:
Formula for arc length :
arc length = 2πr × θ/360°7.34 = 2 x 22/7 x r x 81/3607.34 = 44/7 x 9/40 x r7.34 = 396/280 x rr = 7.34/396 x 280r = 280 x 0.0185353535r = 5.19 units (approximately)Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet, 40 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 2nd longest side on quadrilateral EFGH?
A. 24 feet
B. 20 feet
C. 16 feet
D. 18 feet
Answer:
C) y = 16 feet
Step-by-step explanation:
the corresponding sides in ABCD are equal to their corresponding sides by EFGH multiplied by something
all values are in feet
let x represent the unknown side in ABCD
ABCD lengths in order: x, 30 , 40 , 60
let a and b represent the unknown sides in EFGH
EFGH lengths in order: 6, 12, a, b
thus, 30 corresponds to 12 as they are both the second shortest sides
corresponding side in EFGH * something = corresponding side in ABCD
12 * something = 30
let something be r
12 * r = 30
divide both sides by 12 to isolate r
r = 30/12
thus, to get a side in ABCD, we multiply the corresponding side in EFGH by 30/12
we want to find the second longest side in EFGH. the corresponding side to that in ABCD is 40, as 40 is the second longest side in ABCD
let the second longest side in EFGH = y
y * 30/12 = 40
multiply both sides by 12/30 to isolate y
40 * 12 / 30 = y = 16
y = 16 feet
The total spent on a $32.50 pair of shoes with 6% tax.
A coffee tumbler like the one below is 7 in. tall and has a diameter of 3
in.
When filling the tumbler, you need
to leave 0.5 in. to fit the lid on top.
How much coffee can you fit in
the tumbler?
Show your
equation, work, and final answer
Use 3.14 for Pi.
Volume is a three-dimensional scalar quantity. The amount of coffee that can be put in the tumbler is 11.486 in³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the diameter of the coffee, the tumbler is 3inches, while the height is 7 inches, also, 0.5 inches is needed to be left to fit the lid on the top. Therefore, the height of the tumbler will be 6.5 inches (7-0.5).
Now, the volume of the coffee tumbler will be,
The volume of the coffee tumbler = (π/4)×D²×h
= (π/4)×(1.5)²×6.5
= 11.486 in³
Hence, the amount of coffee that can be put in the tumbler is 11.486 in³.
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Convert the angle θ= 3π /5 radians to degrees. Express your answer exactly.
108
Answer:
216°
Step-by-step explanation:
Conversion from Radians to degrees : -
( θ * 360 ) / π
θ = 3π / 5
θ = ( 3π / 5 * 360 / π )
= ( 3 * 360 * π ) / ( 5 * π )
= ( 3 * 360 ) / 5
= 3 * 72
θ = 216°
Find the slope of (4.2,0.4) and (3.6,0.2)
Answer:
slope is 1/3 or 0.33333333333333
Step-by-step explanation:
just ask
Answer:
-0.6/0.2
Step-by-step explanation:
rise over run, the equation is: x1-x2/y1-y2
The hypotenuse of a right triangle measures 19m on leg measures 15m what is the measure of the other leg
Answer:
≈ 11.7 m
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the measure of the second leg , then
x² + 15² = 19²
x² + 225 = 361 ( subtract 225 from both sides )
x² = 136 ( take square root of both sides )
x = [tex]\sqrt{136}[/tex] ≈ 11.7 m ( to the nearest tenth )
3 3/4 × 2 10/11? please help
Answer:
3 3/4 x 2 10/11 = 120/11 which is equal to 10 10/11 which is the simplified answer
Step-by-step explanation:
make them inproper so you have 15/4 and 32/11 which the product is 120/11 which you can make a proper fraction which is 10 10/11
PLEASE HELP!! ASAPPP
Which equation has exactly one solution?
Darrell’s restaurant bill is $89.75. If Darrell leaves an 18% tip, how much tip does the server receive?
A:1.62 cents
B:16 dollars and 16 cents
C:73.59 dollars
D:109.51 dollars
Answer:
[B] 16 dollars and 16 cents
Step-by-step explanation:
Given:
Darrell’s restaurant bill is $89.75. If Darrell leaves an 18% tip, how much tip does the server receive?
A:1.62 cents
B:16 dollars and 16 cents
C:73.59 dollars
D:109.51 dollars
Solve:
$89.75 × 18% = 16.155 ≈ 16.16
Kavinsky
Answer: B. 16 dollars and 16 cents
Step-by-step explanation:
89.75 * .18 = $16.155