Answer:
D. Open the compass so that the distance from the two points of the compass is wider than half the length of [tex]\over{AB}[/tex].
Step-by-step explanation:
To construct a perpendicular for [tex]\over{AB}[/tex], we must first take a compass & take the distance of its arms wider than half the length of [tex]\over{AB}[/tex].
This is done in order to get two intersecting arcs in the top & bottom of [tex]\over{AB}[/tex] so that a perpendicular bisector can be drawn through it.
After two intersecting lines are drawn below & above [tex]\over{AB}[/tex], draw a line joining these 2 points through their points of intersection. The point where it intersects [tex]\over{AB}[/tex] is the middle-most point of [tex]\over{AB}[/tex] & now a perpendicular bisector of [tex]\over{AB}[/tex] is constructed.
[tex]\rule{150pt}{2pt}[/tex]
Answer:
D
Step-by-step explanation:
At the sweet stuff fresh produce the price of the bag of grapes… (cont in photo)
Answer:
i think it is D but I am not for shore
you need to reflection it over the y - axis , please help
Answer:
y axis please set in star then I will tell
Answer:
a'= (10,-9) b'= (9,0) c'= (1,0) d'= (10,-1)
Step-by-step explanation:
whenever you reflect over the y you change the x
Another path in the community is 2.1 miles long. It also has benches at 1/3 and 2/3 of the distance from the beginning to the end of the path. How far in miles, is each from the beginning of the path?
PLEASE HURRY
Answer:
0.7 miles
1.4 miles
Step-by-step explanation:
Distance of the first bench from the path = 1/3 x 2.1 miles = 0.7 miles
Distance of the second bench from the path = 2/3 x 2.1 miles = 1.4 miles
A class made a line plot of the weight of each science book in pounds. a line plot. short description, a line plot. ,long description,
the line plot is entitled weight of science books in pounds. it goes from 2 pounds to 3 pounds with marks at some numbers:
one mark is at two and one eighth. two marks are at two and one fourth. one mark is at two and three eighths. two marks are at two and one half. three marks are at two and three fourths. one mark is at two and seven eighths. question
sonya carried ,begin emphasis,all,end emphasis, the books weighing 2 and one-fourth pounds and 2 and three-eighths pounds to the library. how many pounds of books did sonya carry?
The total pounds of science books that sanya carried is; 6⁷/₈ pounds
How to Interpret Line Plots?
From the attached Line Plot, we can see the book weights.
Now, we are told that Sanya carried all the books weighing 2¹/₄ pounds and 2³/₈ pounds.
From the line plot we see that;
Number of books weighing 2¹/₄ pounds are 2 books
Number of books weighing 2³/₈ pounds is 1 book
Thus;
Total weight of books carried by Sanya = 2(2¹/₄) + 1(2³/₈)
Total weight = 4¹/₂ + 2³/₈
Total Weight = 6⁷/₈ pounds
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Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Need help Bad
Answer:
D) 5 inchesStep-by-step explanation:
GivenA box with the volume of 150 in³
Dimensions of the box are
2, x and x + 10, where x- width, (x + 10) - lengthThe volume of the box is
V = lwhSubstitute the values and solve the equation for x
x(x + 10)*12 = 150x(x + 10) = 75x² + 10x - 75 = 0x² - 5x + 15x - 75 = 0x(x - 5) + 15(x - 5) = 0(x - 5)(x + 15) = 0x - 5 = 0 or x + 15 = 0x = 5 or x = - 15 (discarded as negative value)The width of the box is 5 in
Correct choice is Da car travels at an average speed of 40km/h for 2.2 hours how far did the car travel in km
Answer:
88km
Step-by-step explanation:
If a car travels 40 km in 1 hour, then that same car would travel 40*2.2 km in 2.2 hours.
So, the car travelled 88km in 2.2 hours
Remember that speed is a rate!
Answer:
speed=distance/travel time
distance=2*40+60*3=80+180=260 km
travel time=2+3=5 hrs
Average speed during entire journey=260/5=52 km/h
4 Here are two squares, A and B. A B The length of each side of square B is 4 cm greater than the length of each side of square A. The area of square B is 70 cmº greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant figures. You must show all your working.
Answer:
116 centimeter squared
Step-by-step explanation:
La²+8La+16 = La²+70
Step-by-step explanation:
8La+16 = 70
8La=70-16
La=54/8
La= 6.75
Area b = (6.75+4)*(6.75+4)
Area b = 10.75*10.75
Area b =115.563
The average age of 3 girls is 17years 4month. the average age of 2 of them is 17years 3month. how old is the third girl
Answer:
1 month oldStep-by-step explanation:
17.4-17.3=.1
that would be 1 moth
2. What is the circumference of the circle?
e) 26π cm²
g) 6767 cm²
f) 52π cm²
h) 1697 cm²
Answer:
26π cm
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
= π × 26
= 26π cm
▶︎◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◀︎
[tex]Hello[/tex] [tex]There![/tex]
We are looking for the circumference of the circle.
It's not hard, I promise! I will take you through a few steps, and we'll find the answer.
Are you ready? Then let's begin...:)
[tex]Procedure:[/tex]
First, we need a formula for the circumference. We can't find the circumference without a formula!
· Luckily, there is a formula for the circumference:
⇒ [tex]C=\pi d}[/tex]
Whoa. What's that?!
No worries, I'll clarify everything in a moment. :)
We are looking for the circumference.
In this formula, what stands for the circumference?
That's right, [tex]C[/tex].
Now, what is this: [tex]\pi[/tex]?
This letter stands for pi - a constant in maths that comes in handy when we're searching for the circumference of a circle (or area).
It has an infinite number of digits after the decimal point, and these digits never repeat!
You might be thinking, "Oh no! Are we really going to use that infinite number?!"
The answer is "No". Mostly, we use 3.14 for [tex]\pi[/tex], because these are the first three digits of pi, but since we aren't asked to use 3.14 for pi, we just press the [tex]\boxed{\pi }[/tex] button on our calculator.
Whew!
And then last but not least, we see "d". This isn't a constant, this is the diameter.
Checking our provided information, we see that the diameter is 26 cm.
Now, we substitute 26 for d:
[tex]\bold{C=\pi (26)}[/tex]
[tex]\bold{C=\pi *26}[/tex]
And now all we have to do is type these numbers into our calculator, and find the answer:
[tex]\bold{C\approx81.7\:cm}[/tex]
Hooray! We've found the circumference!
But wait - why isn't 81.7 an option?
Because what we need to do is write it in terms of pi, which is even easier, because we just substitute 26 for d:
[tex]\bold{C=\pi *26}[/tex]
➢ Rearrange the order of the terms:
[tex]\bold{C=26\pi \:cm}[/tex]
▲ Circumference
Now there's another thing - why are all four options with units squared?
Circumference isn't measured in units squared, the area is!
▶︎ Incase you need the area, here it is:
[tex]\bold{A=\pi r^{2}}[/tex]
A=Area (what we're looking for)
[tex]\pi[/tex] = pi
Here we have a new variable - it's r, which is the radius.
Do you see that [tex]^2[/tex] next to r? It means that r is squared, or multiplied by itself.
You might be thinking, "But we don't have the radius!"
If we have the diameter, finding the radius is a piece of cake, because we divide the diameter by 2:
[tex]\bold{26\div2}[/tex]
[tex]\bold{13}[/tex]
Now we substitute 13 for r and evaluate:
⇒ [tex]\bold{A=\pi (13)^{2}}[/tex]
13 times itself is 169:
⇒ [tex]\bold{A=169\pi \:cm^{2}}[/tex]
Whew! We're finally done!
hope it's helpful!wishing you a great day!
[tex]Greetings![/tex]
--
7cm
10cm
1 Define the perimeter of any closed two-dimensional shape.
2 Hence, calculate the perimeter of the figure above.
Please solve the inequality and give the steps needed to solve: x²-13x+36 ≤ 0
Simplify:
2r + 7 + 11r + 3
Answer:
13r+10
Step-by-step explanation:
1. Combine Like Terms
(2r+11r)+(7+3)
13r+10
Answer:
13r+10
Step-by-step explanation:
2r+7+11r+3
collect like terms
2r+11r+7+3
13r+10
The slope of the line that passes through the points [6,9[ and [11,2] is
Answer:
-7/5
Step-by-step explanation:
m = slope = (y1-y2) / (x1-x2) = 7/-5 = - 7/5
Bob bikes to work 8 miles each day. The trip takes him 0.5 hours. If Bob bikes at a constant rate, what is his biking speed? A. 5 mph B. 8 mph C. 16 mph D. 40 mph
Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.
Option C) is the correct answer.
What is Speed?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Distance covered d = 8milesTime elapsed t = 0.5hrsSpeed of the bike S = ?Speed = Distance ÷ time
Speed = 8miles / 0.5hrs
Speed = 16 mph
Therefore, Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.
Option C) is the correct answer.
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if u answered on the same 1 move on
help me i dont get this
The two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
How to make a two-way table from the frequency table?The table is given as:
Aerobic Anaerobic
Male 88 104
Female 96 62
The column total are:
Aerobic = 88 + 96 = 184
Anaerobic = 104+ 62 = 166
So, we have:
Aerobic Anaerobic
Male 88/184 = 0.48 104/166 = 0.63
Female 96/184 = 0.52 62/166 = 0.37
The total count of the table is
Total = 184 + 166 = 350
So, we have:
Aerobic Anaerobic Total
Male 0.48 0.63 (88 + 104)/350 = 0.55
Female 0.52 0.37 (96 + 62)/350 = 0.45
Hence, the two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
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Based on the number of males and females doing aerobic and anaerobic respiration, the relative and marginal frequencies can be shown as:
Aerobic Anaerobic Total
Male 47.8% 62.7% 54.9%
Female 52.2% 37.3% 45.1%
100% 100% 100%
What are the relative and marginal frequencies given?The frequencies for males are:
Aerobic = 88 / (88 + 96) Anaerobic = 104 / (104 + 62)
= 47.8% = 62.7%
For females:
Aerobic = 100% - 47.8% Anaerobic = 100 - 62.7%
= 52.2% = 37.3%
Total males frequency: Total females
= (88 + 104) / (88 + 104 + 96 + 62) = 100% - 54.9%
= 54.9% = 45.1%
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Which relations are functions?
Choose all answers that are correct:
Answer:
A. B and D are functions
Step-by-step explanation:
Functions are either one-to-one or many-to one (x-value --> y value)
C is not a function because -3 (x) maps to 1 and also to 0 (y).
In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
Work out the percentage decrease in the mass of the chocolate
bar from 2017 to 2018.
Pls help i didn’t understand what the teach said
Answer:
12% decrease
Step-by-step explanation:
given:
In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
The difference in mass is 250 - 220 = 30g
30 / 250 = 0.12 which is how much out of the 250g
0.12 x 100 = 12
12% decrease in the mass of chocolate bars from 2017 to 2018.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
According to the question, it is given that
The mass chocolate bar had a mass of 250g in 2017
The mass of the chocolate bar was reduced to 220g in 2018
We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=(250-220)/250×100
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=30/250×100
=0.12×100
=12%
Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.
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Work out m and c for the line: 5 x − 3 y + 4 = 0
Step-by-step explanation:
5x - 3y + 4 = 0
we rearrange it to look like this:
y = mx + c
3y = -4 - 5x
we can also write it like this so it rhymes with the formula
3y = -5x - 4
y = -5x - 4 / 3 (the division sign is dividing all the numbers and not only 4 ).
Soo..
y = -5x/3 -4/3
y = mx. + c
so
m = -5/3
c = -4/3.
Hope this helps.
Good luck ✅.
[tex]\rule{200}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Work out m and c for the line 5x-3y+4=0.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We can't determine the slope (m) and the y-intercept (c) yet, so we need
to convert this equation into slope-intercept form [tex]\bold{y=mx+c}[/tex].
[tex]\dagger[/tex] First, subtract 5x and 4 on both sides:-
-3y=-5x-4[tex]\dagger[/tex] Next, divide by -3 on both sides:-
y=5/3x+4/3[tex]\bigstar[/tex] A negative divided by a negative is a positive.
[tex]\dagger\dagger[/tex] Now finding the slope is a piece of cake; it's just the number next to x:-
5/3 = slope (m)And the y-intercept is:-
4/3 = y-intercept (c)Good luck with your studies.[tex]\rule{300}{1}[/tex]
Determine the equation of the circle graphed below.
Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2
(h, k) = center of the circle
r = radius of the circle
Center = (2, 0)
Radius = 7
Equation: (x - 2)^2 + (y - 0)^2 = 49
Answer: (x - 2)^2 + y^2 = 49
Hope this helps!
Find the slope of the line that passes through (6,9) and (9,5)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Find the slope of the line that passes through (6, 9) and (9, 5).
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow {slope\:formula\:below} \\ $\displaystyle\frac{y_2-y_1}{x_2-x_1}$ \\ \end{minipage}}}[/tex]
Substitute 5 for y₂, 9 for y₁, 9 for x₂ and 6 for x₁:-
[tex]\boxed{\frac{5-9}{9-6}}[/tex]
On simplification,
↬ [tex]\boxed{\frac{-4}{3}}[/tex]
►So we conclude that the slope of the line is
►[tex]\boxed{-\frac{4}{3}}[/tex] ◀︎
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Write a system of inequalities using the given graph
Take two points
(-2,1)(0,-3)Slope
m=-3-1/0+2=-4/2=-2Parallel lines so slopes are equal
Only y intercept will vary
So both lines have y intercept at -3 and -1 respectively
The equations
y=-2x-3y=-2x-1Put (0,0) on first one
0>-3On second one
0>-1So as lines are dashed symbols remain >
The inequalities are
y>-2x-3y>-2x-1combien font 3579+826
this composite figure is made up of three similar shapes. what is the area of the figure?
Answer:
D : 66
Step-by-step explanation:
separate the composite figure into 3 different shapes then multiple then find the area of them all. after this just add them and you're good to go
also to get the area of a triangle you gotta add both sides then divide by 2.
Please help, Write the sum.
[tex]12\sqrt{23 x^{13}}+14\sqrt{23 x^{13}}\\\\=(12+14)\left(\sqrt{23 x^{13}}\right)\\\\=26\left(\sqrt{23 x^{13} }\right)\\\\=26\sqrt{23} \sqrt{x^{13}}\\\\=26\cdot 23^{\tfrac 12} \cdot x^{\tfrac {13}2}[/tex]
There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.
The two co-captians can be chosen in 21 different ways.
How many ways are there to choose the co-captains?
If the two co-capitans are equivalent, then we need to find combinations.
So we want to find how many combinations of 2 elements we can make out of a set of 7 elements.
This is given by:
[tex]C(7, 2) = \frac{7!}{(7 - 2)!*2!} = \frac{7*6}{2} = 21[/tex]
So the two co-captians can be chosen in 21 different ways.
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- What is h(-8) for h(x) =
4
F.
-40
G. -72
H. -52
J. -60
-7x?
Answer:
16
Step-by-step explanation:
Apply the means-extremes property to the ratios of the corresponding sides to determine if the polygons are similar. has sides of length 2 cm, 3 cm, and 3.5 cm. has sides of length 4 cm, 6 cm, and 7 cm.
The ratio of the sides of the triangles ΔABC and ΔDEF are constant that is 1/2. Then the triangles ΔABC and ΔDEF are similar triangles.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangles are given below.
The ratio of the sides of the triangles ΔABC and ΔDEF will be
AB / DE = BC / EF = CA / FD
2 / 4 = 3 / 6 = 3.5 / 7
1 / 2 = 1 / 2 = 1 / 2
The ratio of the sides of the triangles ΔABC and ΔDEF are constant that is 1/2. Then the triangles ΔABC and ΔDEF are similar triangles.
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which clock shows 25 minuites after 4:00?
Answer: attached a picture
The fourth clock shows the time 25 minutes after 4:00.
The correct option is IV.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
There are four clocks.
To watch the time on the clock:
The small arrow line shows the time in hours.
And the large arrow shows the time in minutes.
At the first clock;
The time is 11:20.
At the second clock;
The time is 11:40.
At the third clock;
The time is 12:20.
At the fourth clock;
The time is 4:25.
25 minutes after 4:00 means the large arrow will be pointing towards 5.
Because 25 = 5 x 5.
Therefore, all the times on the clocks are given above.
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The complete question;
From the given choices,
which clock shows 25 minutes after 4:00?
The options are given in the attached image.
Please help me please help me
What is the range of this data set? {37, 38, 44, 32, 40, 33, 29, 33, 36}
15
29
33
36
Answer:
Range is 15
Step-by-step explanation:
1. Organize from least to graetest:
29, 32, 33, 33, 36, 37, 38, 40, 44
2. Find the largest and the smallest numer:
29 and 44
3. Subtract:
44
-29
=15
Answer:
its 15
Step-by-step explanation:
i just need da points