A company logo is made up of a square and three identical triangles.
What is the area of the logo?
Answers
Answer:
[tex]the \: area \: of \: the \: logo \: is \: {91cm}^{2} [/tex]
Step-by-step explanation:
To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.
Area of the square.
To calculate the area of the square you have to calculate the square of one of its sides, following the formula:
[tex]a = {a}^{2} [/tex]
Where "a" is the length of one of its side.
The side length of the square is a=7cm, so its area will be:
[tex]asquare = {7}^{2} \\ asquare = {49cm}^{2} [/tex]
Area of the triangles.
The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.
To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:
[tex]a = \frac{b.h}{2} \\ a = \frac{7.4}{2} \\ a = \frac{28}{2} \\ a = {14cm}^{2} [/tex]
The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:
[tex]atriangles = 3a \\ atriangles = {42cm}^{2} [/tex]
Now that the area of all shape are calculated, you have to add them to determine the area of the logo:
[tex]alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo = {91cm}^{2} [/tex]
Related Questions
I need help with the plz
Answers
Answer:
b
Step-by-step explanation:
a square flower garden in Samantha's backyard has an area of 100 square feet how much fencing will she need to enclose the flower garden
Answers
Answer:
perimeter = 40 feet
Step-by-step explanation:
side^2 = 100
side = 10
perimeter = 10 x 4 =40
What is the LCD of 2/6 and 2/15? pleeease heeeellpppp
Answers
Answer:
the LCM is 30
Step-by-step explanation:
6x5=30
15x2=30
Answer:2/6=10/30
2/15=4/30
Step-by-step explanation:
PLEASE HELP ASAPPP!!! tank youuu
Answers
A~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
a
Step-by-step explanation:
The person above got it right give brainliest to her/he
Each marble bag sold by Yoko's Marble Company contains 5 orange marbles for every 6 blue marbles. If a
bag has 40 orange marbles, how many blue marbles does it contain?
Answers
Answer:
48 blue marbles
Step-by-step explanation:
'b' = # blue marbles
5/40 = 6/b
5b = 240
b = 48
Which is greater -8.3 or -8.4
Answers
Pls help extra points and mark brainlist
Answers
Answer:
The answer is 11n
Step-by-step explanation:
Why? Because when there is a variable (n), you just do the operation and put the variable like I showed above.
Srry, if cant understand but, hopefully, it helped :)
Use a property to write an equivalent expression.
8 + y + 6
Answers
Answer:
14+y
Step-by-step explanation:
Answer:
14+y
Step-by-step explanation:
Which expression is equivalent to 4(u+11w)?
(A) 4u+11w
(B) 4u+44w
(C) 5u+15w
(D) 5u+44w
Answers
Answer:
(B) 4u+44w
Step-by-step explanation:
(B) 4u+44w is equivalent to 4(u+11w)
The equivalent expression of "[tex]4(u+11w)[/tex]" is "[tex]\bold{4u+44w}[/tex]".
Equivalent expression:[tex]\to \bold{4(u+11w)}[/tex]
multiplying the given expression:
[tex]\to \bold{4(u+11w)= 4u+44w}[/tex]
Therefore, the final answer is "[tex]\bold{4u+44w}[/tex]".
Find out more information on the equivalent here:
brainly.com/question/17733453
4. If the number of degrees in the measure of one angle of a triangle is represented by 4x and the measure of a second
angle is represented by y, what expression would represent the measure of the third angle? (Hint: The sum of the)
measures of the three angles in any triangle is 180°.)
Help its Ace pace algebra 1-4 1100 page 10
Answers
Answer:
[tex] third \: angle \: = 180 \degree - (4x + y) \degree [/tex]
Step-by-step explanation:
[tex]4x \degree + y \degree + third \: angle \: = 180 \degree \\ \\ third \: angle \: = 180 \degree - (4x + y) \degree \\ \\ [/tex]
First think of two numbers that have a difference of 8.
Type the LARGER of these numbers below.
Answers
Answer:
I thought of 24 and 14 and the larger number is 24
Step-by-step explanation:
24-16=8
The larger number will be "32".
Let the two numbers:
The first number be "32".and,
The second number be "24".By applying the subtraction between the above two numbers, we can find the difference between the numbers.
So,
→ [tex]32-24[/tex]
→ [tex]8[/tex] (difference)
We can see that the greater number between "32" and "24" is "32".
Thus the above answer is right.
Learn more:
https://brainly.com/question/21405607
Find the value of x
A)108
B)88
C)120
D)95
Answers
Answer:
108
Step-by-step explanation:
x is the same angle as the other angle shown, but the triangle reverses itself
(if you look closely you can tell)
I'm not really good at exponents I was wondering if I could get some help on this plz brainly to best answer
Answers
Answer:
Ok so it's asking you what 8 to the 5th power/ divided by eight is I believe
Step-by-step explanation:
8*8*8*8*8=32,768/8=4,096
I hope that helps
Good luck hun
2. "The quotient of a number and 4"
Answers
Answer:
Step-by-step explanation:
let n= number, the quotient of a number and 4 is
n/4
2. Find the volume of the sphere.
Answers
Answer:
V= 113.1
Step-by-step explanation:
V=4/3πr^3=4/3·π·3^3≈ 113.09734
An entrepreneur faces many bureaucratic and legal hurdles when starting a new business. The World Bank collects information about starting businesses throughout the world. They have determined the time, in days, to complete all of the procedures required to start a business. The data for business start time, in days, for a sample of 24 countries is given. Data Set
13 66 36 12 8 27 6 7 5 7 52 48
15 7 12 94 28 5 13 60 5 5 18 18
The total for the given data is 567 days.
Later, we realize that we had not included the data for the South American country of Suriname in the sample. The start time for Suriname is 694 days.
a) What is the mean of the sample data including the country of Suriname? Give your answer to two decimal place.
b) Find the median time to start a business for 24 countries in our data set:
c) Which measure do you prefer for describing the center of this distribution? Explain your answer.
d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.
e) Compute the standard deviation of time to start a business for 24 countries in the data set:
f) Which measure do you prefer for describing the spread of this distribution? Explain your answer.
g) Make a boxplot for these data and explain & describe the distribution using only the information in the boxplot.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
Rearranged data:
5, 5, 5, 5, 6, 7, 7, 7, 8, 12, 12, 13, 13, 15, 18, 18, 27, 28, 36, 48, 52, 60, 66, 94
Start time for Suriname = 694
Mean = ΣX / n
Mean = (567 + 694) / (24 + 1) = 1261 / 25 = 50.44
B.) median start Time for initial 24 values
0.5(n+1)th term
0.5(25) = 12.5th term
(13 + 13) / 2 = 13
C.) preferred measure of center for the distribution will be the median as it shapes well in the middle of the distribution. The mean is overestimated
d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.
Using calculator :
Lower quartile Q1 --> 7
Median Q2 --> 13
Upper quartile Q3 --> 42
IQR = (Q3 - Q1) = 42 - 7 = 35
OUTLIER:
Lower bound : Q1 - 1.5(IQR) ; 7 - 1.5(35) = - 45.5
Upper bound : Q3 + 1.5(IQR) = 42 + 1.5(35) = 94.5
Outlier : values below - 45.5 and above 94.5
Hence, Surimanes start time is the only Outlier.
e)
Standard deviation for 24 countries :
Standard deviation = sqrt[Σ(X - mean)^2 / (N - 1)]
Usibg calculator :
Standard deviation for the 24 countries is 23.83
f)
Standard deviation
find the product -8 (-10)
Answers
Answer:
Step-by-step explanation:
-8 ( - 10)
= 80
Answer:
80
Step-by-step explanation:
The American history classes are planning a trip to a local museum. Admission is $8
per person. Determine how many people can go for $260.
Answers
260 divided by 8 is 32.5
PLEASE HELP IM BEGGING YOU PLEASE I also need work shown
Answers
Answer:
x=3
y=-4
Step-by-step explanation:
[tex]\left \{ {{y=2x-10} \atop {y=-3x+5}} \right. \\\left \{ {{2x-10=-3x+5} \atop {y=-3x+5}} \right. \\\left \{ {{5x=15} \atop {y=-3x+5}} \right. \\\left \{ {{x=3} \atop {y=-3*3+5}} \right. \\\left \{ {{x=3} \atop {y=-4}} \right.[/tex]
Help would be much appreciated
Answers
Answer:
i think its b srry if wrong
Step-by-step explanation:
Help with my math homework please !!
Answers
Answer:
Ok Ill do it in comments
Step-by-step explanation:
Plz Hurry!!!!! A video game regularly sells for $49.00 but is on sale for 30% off.How much will the video game sell for after the discount?
Answers
Answer:
Step-by-step explanation:
49 x .30 = 14.70 then 49 - 14 70 = $34.30
Will give brainliest
A ?
B?
C?
Answers
Answer:
A) convex
B) concave
C) scalene
Step-by-step explanation:
A) Convex:
A concave polygon have "caves."
All diagonals fit inside of a convex polygon.
B) Concave:
They have at least one diagonal on the outside. Not all fit snugly inside like a convex polygon.
C) Scalene:
Scalene polygons have sides that are all unequal from each other.
Below is a picture of convex and concave polygons.
Are they Equivalent why or why not?
Answers
Answer:
They are equivalent because when you distribute the -0.5 into 3x+5 you get the expression -1.5x+2.5
Solve the quadratic x²-8x+15=0.
Answers
Answer:
x = 3 or x = 5
Step-by-step explanation:
x2-8x+15 = 0
(x-3)(x-5) = 0
is f(x) = x^3 - x even, odd, or neither. Explain your answer.
Answers
Even function : f(-x) = f(x)
f(-x) = (-x)^3 = -x^3 = -f(x) thus it’s an odd function
Answer:
odd
Step-by-step explanation:
a function is even when f(-x) =f(x) and a function is odd
when f(-x)= -f(x)
so let's substitute -x into our function
f(-x)= (-x)^3 -(-x)
= -x^3 +1
so, f(-X)= -f(x)
therefore our function is odd
5(4n) simplify the equation
Answers
1. Simplify by multiplying 5 * 4.
20n
----------
Done by NeighborhoodDealer.
Ayudaaaaaaaaaaa.............
Answers
Es la repuesta
B) You just got a free ticket for a boat ride! you can bring
2 friends. The hard part is you have 5 friends who want
to come... How many different groups could you invite?
Answers
Answer:
Step-by-step explanation:
Because order does not matter this is a combination
5!/(2!3!)=10
Solve s/10 = 7
the solution is s = ___
Answers
Answer:
S=70
Step-by-step explanation:
(10/1)s/10=7(10/1) multiply 10/1 to both sides
s=70
Answer:s=70
Step-by-step explanation: