Answer:
A. Perimeter
B. Sides
D. Area
Step-by-step explanation:
Suppose a triangle ABC has sides each of length a
formula:
The altitude of the triangle h equal to :
[tex]h=\frac{\sqrt{3}}{2} a[/tex]
________
Perimeter:
Let’s P be the perimeter of the triangle ABC then P = 3a
[tex]\frac{P}{h}=\frac{3 a}{\frac{\sqrt{3}}{2} a}=\frac{3}{\frac{\sqrt{3}}{2}}=2 \frac{3}{\sqrt{3}}=2 \sqrt{3}[/tex]
P/h is a constant then The perimeter has a proportional relationship to the altitude
______
Sides :
[tex]\frac{h}{a}=\frac{\frac{\sqrt{3}}{2} a}{a}=\frac{\sqrt{3}}{2}[/tex]
h/a is a constant then The side has a proportional relationship to the altitude
______
Area :
Let A be the area of the triangle
[tex]\frac{A}{h}=\frac{a \times h}{h}=a[/tex]
A/h is a constant then The area has a proportional relationship to the altitude
_____
Angles :
The measure Of each angle of an equilateral triangle is always equal to 60°
60/h is not a constant then there is no proportional relationship
______
Vertices:
The vertices are points and not numbers so there is no proportional relationship.
8) Mercy marks up all goods she sells by 30%. What is the marked up price that she will sell a
hat in her store, that cost her $42?
A. $12.60
B. $45.60
C. $54.60
D. $62.40
It would be 12.60 as the profit, while the revenue is 54.60
Therefore, the answer would be
42*.3=
12.6
12.6+42=
54.60
Find X.
Hint: T is an inscribed angle that creates arc WS. Arc WS can be found by adding arcs WR and RS together.
See picture for full problem. Please and thank you so much!
Answer:
x=13
Step-by-step explanation:
The attached photo might help
5)Find the mean, median, mode, range, first quartile, third quartile, and the interquartile range for
each data set given. Is the data skewed?
a. 7, 12, 1, 7, 6, 5, 11, 10, 14, 16, 16, 8, 9, 11, 12, 3
b. 85, 105, 95, 90, 115, 10, 8, 7, 5, 9, 10, 7
Answer:
See belowStep-by-step explanation:
DefinitionsMean - average numberMedian - the middlepoint of the data setMode - the most repeated data in the setRange - the difference between the minimum and maximum values of data setFirst quartile - Q1, the median of the lower half of the data setThird quartile - Q3, the median of the upper half of the data setIQR - the difference of Q3 and Q1Step 1Put the data in the ascending order
a) 1, 3, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 14, 16, 16b) 5, 7, 7, 8, 9, 10, 10, 85, 90, 95, 105, 115Step 2Find all the numbers
a)
Mean = (1+3+ 5+ 6+ 7+ 7+ 8+ 9+ 10+ 11+ 11+ 12+ 12+ 14+ 16+ 16)/16 = 9.25Median = (9 + 10)/2 = 9.5Mode = noneRange = 16 - 1 = 15Q1 = (6 + 7)/2 = 6.5Q3 = 12IQR = 12 - 6.5 = 5.5The data is almost uniform as the mean and median are very closeb)
Mean = (5+ 7+ 7+ 8+ 9+ 10+ 10+ 85+ 90+ 95+ 105+ 115)/12 = 45.5Median = 10Mode = noneRange = 115 - 5 = 110Q1 = (7 + 8)/2 = 7.5Q3 = (90 + 95)/2 = 92.5IQR = 92.5 - 7.5 = 85The data is skewed left as the mean and median are too differenetA security system company wants to know whether there are differences in the time of day of residential and commercial burglaries. They read the records from a randomly selected sample of 60 6060 of the 830 830830 residential burglaries and 60 6060 of the 447 447447 commercial burglaries in the past year from their town database. Suppose that 65 % 65%65, percent of the residential burglaries and 31 % 31%31, percent of the commercial burglaries happened during the day. The company plans to look at the difference ( p ^ R − p ^ C ) ( p ^ R − p ^ C )left parenthesis, p, with, hat, on top, start subscript, start text, R, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, C, end text, end subscript, right parenthesis between the proportions of daytime burglaries in each sample
Answer:
we cannot assume independence for the burglaries sampled from commercial burglaries. (C)
Step-by-step explanation: KHAN KNOWS ALL
Anyone know this?????
Answer:
102 mm²
Step-by-step explanation:
You can split the shape into two different shapes: a trapezium and a rectangle.
Area of rectangle = length x width
= 10 x 3 = 30mm
Area of trapezium = a + b / 2 x h
h = 9 - 3 = 6mm
= 10 + 14 / 2 x 6
= 72 mm
Total area = 72 + 30 = 102 mm²
Help me
Question
Find mHK⌢.
Answer:
62
Step-by-step explanation:
(x+8)=(2x-15)
8=x-15
+15 +15
23=x
so
23 +8 = 31
23x2-15 = 46-15 =31
Both are the same always since one side is equal to the other
Therefore
62 is the answer!
(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)
Answer:
A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)
Here c divide AB line in the ratio of 1:2
From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)
and y=(m1×y2+m2×y1)/(m1+m2)
where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;
so x=(3+4)/3
or, x=7/3;
y=(-2-6)/3
or, y=-8/3;
so, oc=√((0-7/3)²+(0-(-8/3))²)
oc=3.54
I don’t understand this question
Answer:
Step-by-step explanation:
4. The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
1. 6
2. 8
3. 7
4. 9
Answer:
7 The answer is no. 3 because it is more than the others
Jared lost a total of $96 over the last 12 months. What integer represents the mean number of dollars lost each month?
Answer:
-8
Step-by-step explanation:
To find mean, average, divide.
-96/12
-8
Solve each system of equations below. Write your solution in the form (x,y). Check your solution.
a) 3x - y = 14
x = 2y + 8
x = 2y+8
Step-by-step explanation:
3x-y = 14
3(2y+8)-y = 14
6y+24-y = 14
5y = 14-24
y = -10/5
y = -2
now,
x = 2y +8
x = 2(-2)+8
x = 4
Therefore, the value of x is 4 and y is -2.
y = 3x + 1 -x + 2y = -3 solve system of equation by elimination
Find the area of each figure.
20 points
Answer:
purple shape= 1824 inches squared
For the green rhombus:
Answer: 3 ft^2
Explanation:
you can add a line HA to split the rhombus into two triangles
Area of each triangle
= (2 x 1.5) / 2
= 1.5 ft^2
As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2
200
g of fertiliser is required for a plot of land
that has an area of 8 m?. Find
(i) the amount of fertiliser needed for a plot of
land that has an area of 14 m²,
(ii) the area of land that can be fertilised by
450 g of fertiliser
Answer:
(i) 350 g; (ii) 18 m². This is done by using proportion
Step-by-step explanation:
a net of a building block is show is shown below . what is the total suface area of the building block ?
gary goes to the grocery store to but hot dogs and hamburgers for a cookout. He buys a total of 8 packages for a total of $28.52. A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.
Answer:
3 hamburger packs
5 hot dog packs
Step-by-step explanation:
Knowing that:
Gary buy ⇒ 8 packages for a total of $28.52
A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.
Solving:
Let the Hotdogs = HD
Let the Hamburgers = HB
HD + HB = 8
2.29HB + 5.69HB = 28.52
Hotdogs (HD) = 2.29
Hamburgers (HB) = 5.69
Total ( 8) = 28.52
Since we now know that
Hotdogs (HD) = 2.29
Hamburgers (HB) = 5.69
Thus,
2.29x5 = 11.45
5.69 x 3=17.07
17.07 + 11.45 = 28.52
Thus, gray buy
3 hamburger packs
5 hot dog packs
~[DiscordUser]~
Based on your value of x in question #1, what is the value for ∠EHF
1) 132 degrees
2) 96 degrees
3) 180 degrees
4) 90 degrees
Answer:
∠EHF = 132°
Step-by-step explanation:
Both angles lie on a straight line.
=====================
∠EHF + ∠FHG = 180°2(x) + 48° = 180°2(x) = 180° - 48°2(x) = 132°x = 66°Then ∠EHF :
2(x)2(66)132°Angles are supplementary hence their sum is 180°
So
2x+48=1802x=180-482x=132x=66So
<EHF=2(66)=132°
what's the perimeter of the isoceles triangle shown below?
Answer:
16
Step-by-step explanation:
by using pythagorean theorem we know that the equal sides of the isosceles triangle are 5 units in length while the bottom side appears to be 6 units in length.
so we the perimeter is 16
Sarah spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F. Between noon and 3pm, the temperature went up 12.1°F. Between 3pm and 6pm, the temperature dropped 5.5°F. What was the temperature at 6pm?
Using a system of equations, it is found that the temperature at 6pm was of -0.6 ºF.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F, hence the temperature at noon was of -9.2 + 2 = -7.2ºF.
Between noon and 3pm, the temperature went up 12.1°F, hence at 3 pm, the temperature was of -7.2 + 12.1 = 4.9 ºF.
Between 3pm and 6pm, the temperature dropped 5.5°F, hence the temperature at 6 pm was of 4.9 - 5.5 = -0.6 ºF.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Use conversions to solve the problem. Kevin wants to edge his garden with brick. All sides are equal. The brick costs $6 per yard. What is the perimeter of the garden? How much will it cost to buy the edging he needs?
What is the surface area?
l×d×h
= 9m×4m×5m
= 180m²
a cake has a radius of 14cm. what is the area of the cake
Step-by-step explanation:
radius = 14cm
area of circle = [tex]\pi[/tex]r^2
= 22/7 *(14)^2
= 616 cm^2
Answer:
196π cm² or 615.44 cm²
Step-by-step explanation:
Area of a circle: πr²π = 3.14r (radius) = 14 cmSubstitute:
A = πr²
A = 3.14*14²
A = 3.14*196
A = 615.44 cm²
Therefore, the area of the cake is 196π cm² or 615.44 cm²
Hope this helps!
What attributes do squares and
trapezoids always have in
common?
Answer:
There both quadrilaterals
Step-by-step explanation:
Find the value of x that makes triangle rst similar to triangle hgk
The value of x that makes triangle rst similar to triangle hgk is x = -2.2
What are similar triangles?
Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Since both triangles are similar, hence:
GH/RS = HK/ST
(x + 7) / 3 = 8/5
x = -2.2
The value of x that makes triangle rst similar to triangle hgk is x = -2.2
Find out more on similar triangles at: https://brainly.com/question/2644832
The office building shown has shaded windows for the rooms in which
the lights are turned off.
What portion of the rooms have their lights turned off?
A) 2/3
B) 3/4
C) 15%
D) 60%
Answer:
D
Step-by-step explanation:
First, you count the total number of windows. That's 25. Then you count the number of widows with their lights off. That's 15. After this, you divide 15 by 25 to get the percent of the windows turned off. :)
According to a weather report, there is a 11% chance it will rain tomorrow. What is the probability that it will not rain tomorrow?
Answer:
0.78
Step-by-step explanation:
P(R)=22/100=0.22
R=1
1-0.22=0.78
According to a weather report on the probability that it will rain tomorrow, the probability that it will not rain tomorrow is 89%.
What is Probability?
Probability is simply the likelihood that something or an event is to happen.
Now, the probability that an event will not occur is one minus the probability that the event will occur.
Given the data in the question;
Probability that it will rain tomorrow p = 11%Probability that it will not rain tomorrow p⁰ = ?The probability that it will not rain tomorrow is one minus probability that it will rain tomorrow.
p⁰ = 1 - p
p⁰ = 1 - 11%
p⁰ = 1 - ( 11 / 100 )
p⁰ = 1 - 0.11
p⁰ = 0.89
p⁰ = 89%
Therefore, According to a weather report on the probability that it will rain tomorrow, the probability that it will not rain tomorrow is 89%.
Learn more about probability here: https://brainly.com/question/11234923
Aaron makes $45 dollars per day delivering newspapers. He earns 0.75 for each newspaper he delivers. How many newspaper, n, must he deliver in one day to make at least $60
Answer:
20 newspapers
Step-by-step explanation:
First create an equation.
y = 0.75x + 45
Now substitute 60 y and solve for x.
60 = 0.75x + 45
60 - 45 = 0.75x + 45 - 45
15/0.75 = 0.75x/0.75
x = 20 newspapers
Please help me with this please and thank you please actually help me with this please
Answer:
easy ok first 0 -3 1 -4 2 -5
Step-by-step explanation:
ask me another
Find the area of the circle. DO NOT ROUND
what is the area?
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex]\\\large \purple{\sf{Formula\:used→}} \\ [/tex]
[tex] \rm{A = \: \pi {r}^{2} (Area \: of \: a \: circle)}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \large \purple{\sf{Given→}} \\ \\ [/tex]
[tex]\rm{Diameter (d)→26 } \\ \rm{\: we \: know \: that \: radius \: is \: half \: of \: diameter} \\ \rm{r = \frac{26}{2} } \\ \\ \rm{r = \cancel \frac{26}{2} } \\ \\ \rm{r = 13}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \\\large \purple{\sf{Let's solve→}} \\ [/tex]
[tex] \rm{A = \pi \times {(13)}^{2} } \\ \\ \rm{A = \pi \times126} \\ \\ \rm{A = \frac{22}{7} \times 126 } \\ \\ \rm{A = \frac {22} { \cancel{7} } \times \cancel{126}} \\ \\ \rm{A =22 \times 18} \\ \\ \rm{A = 396}[/tex]
[tex]\underline{\rule{70mm}{2.2pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
What number is not part of the solution set to the inequality below?
x - 2 > or equal to 12
A 10
B 14
C 16
D 18
Answer:
B. 14
Step-by-step explanation:
Add 2 to both sides:)