The approximate cost of the banner which is charged by print shop before tax is 92.30.
What is cost price per unit?The cost price per unit is the amount of money required to buy one uni of a brand or goods.
To find the cost price per unit, divide the total amount of cost of the goods to the total number of goods.
The length of the sides of parallelogram banner which order by Jace is 9 feet and the length of the bottom side is 12 feet.
The length of the diagonal is 19 ft. The parimeterof the triangle made by this sides is,
[tex]s=\dfrac{9+12+19}{2}\\s=20[/tex]
Using Heron's formula, the area of this triangle is,
[tex]A=\sqrt{20(20-9)(20-12)(20-19)}\\A=\sqrt{20\times11\times8\times1}\\A=41.95\rm ft^2[/tex]
Now the area of the banner is,
[tex]A=41.95\times2\\A=83.90\rm ft^2[/tex]
The print shop charges $1.10 per square foot for banners of any shape and size.Thus, the charge of the banner with area 108 square foot is,
[tex]P=1.10\times83.90\\P=92.29\\P\cong92.30[/tex]
Thus, the approximate cost of the banner which is charged by print shop before tax is 92.30.
Learn more about the cost price per unit here;
https://brainly.com/question/18628158
Plssss help
I need AC
Answer:
AC = 18
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 AC = 12[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 12 × 3 = 36 ( divide both sides by 2 )
AC = 18
∠ACB=90° ⇒ ΔABC is right triangle
AB is hypotenuse, ∠BAC=30° ⇒
[tex]CB=\dfrac{AB}{2}=\dfrac{12\sqrt{3} }{2} =6\sqrt{3}[/tex]
Let's use Pythagorean theorem
[tex]AB^2=BC^2+AC^2\\AC^2=AB^2-BC^2\\AC^2=(12\sqrt{3})^2-(6\sqrt{3} )^2\\AC=\sqrt{(12\sqrt{3}-6\sqrt{3})(12\sqrt{3}+6\sqrt{3}))} \\AC=\sqrt{6\sqrt{3}\times18\sqrt{3} } \\AC=\sqrt{3\times6\times18} \\AC=18[/tex]
A merchant bought a dozen of books for 1500 birr and sold it at a profit of 15% of its cost price. What is the selling price?
Answer: They sold each book at a price of 143.75 birr
Step-by-step explanation:
1500 divided by 12 is 125 and 15% of 125 is 18.75 so add it together and you got your answer. hope this helps <3
Answer:
C. 1725
Step-by-step explanation:
We can find the selling price by adding the cost price and the profit made
As the merchant has made 15% of profit on 1500 birr . So ,
15% of 1500 is 225 birr
[tex] \frac{x}{1500} \times 100 = 15 \: percent[/tex]
Adding the cost price and profit made we get ,
Selling Price = 1500 birr + 225 birr
Sp = 1725 birr
Does anyone know this problem!! I need help asap!! #help
Answer:
you times that by 7 I think
Step-by-step explanation:
Answer:
3.5 miles
Step-by-step explanation:
i think, if its wrong- s o r r y ;v;
What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?
Answer:
cylinder91.9 ft³Step-by-step explanation:
a)An object with a uniform circular cross section is generally modeled by a cylinder.
__
b)The formula for the volume of a cylinder is ...
V = πr²h
For the given radius and height, the volume is ...
V = π(1.5 ft)²(13 ft) ≈ 91.9 ft³
The volume of the tree trunk is about 91.9 ft³.
What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?
Answer:[tex] \color{hotpink} \bold{91.85 \: \: ft} [/tex]— — — — — — — — — —
— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)
Formula:[tex] \underline{ \boxed{ \sf \: V=πr²h}}[/tex]where,
V is the Volumeπ (pi) is the constant 3.14r is the radiush is the height– This formula is used when the radius of the base is given.
Solution:Remember that radius has to be multiplied by itself (squared). And pi (π) is the constant 3.14.
– Using the formula above, substitute the givens in the formula then solve.
[tex] V=πr²h[/tex][tex]V=3.14 \times (1.5)² \times 13[/tex][tex] V=3.14 \times (2.25 \times 13)[/tex][tex]V= \underline{ \boxed{ \blue{ 91.85 \: ft ^{3} }}}[/tex]Hence, the volume is 91.85 ft³.
_______________∞_______________
This is with tangents I have already figured out one portion of the problems please help
Answer:
-5
Step-by-step explanation:
negative times negative is positive so squared can be negative or positive
Answer:
x = -5, x = 5
Step-by-step explanation:
Tangents to a circle drawn to a point outside the circle are equal in length. Therefore, AB = AC.
Given:
AB = x² + 8AC = 33AB = AC
⇒ x² + 8 = 33
Subtract 8 from both sides: x² = 25
Square root both sides: x = ±5
Therefore, x = -5, x = 5
For each value of w, determine whether it is a solution to -54 <7w-5.
Answer:
All in order:
YES
NO
NO
NO
Step-by-step explanation:
-54 ≤ 7(-7) - 5 YES because the sign says greater than or equal to (in the image)
-54 ≤ 7(5) - 5 NO
-54 ≤ 7(7) - 5 NO
-54 ≤ 7(-9) - 5 NO
So , there is this thing that says : "the circumference of a circle is 7,850 , whats the radious?
Answer:
1250 (corrected to 3 significant figures)
Step-by-step explanation:
the formula to calculate circumference is 2πr, where r is the radius.
hence, we can form the equation
2πr = 7850
r ≈ 1249.3663
= 1250 (corrected to 3 significant figures)
solvemath ttttttttttttttttttttttttttttttttttttttttt
Answer:
Step-by-step explanation:
1)5^1/3*3 = 5^3/3 = 5
2) 5+x=2 =>x=2-5 => x=-3
3)2*1/2^2*4^4 => 2*1/4*256 => 0,5*256 = 128
4) Rule!Any number to the power 0 is equal to 1; and 1 to any power will always give 1. => 1^5 =1.
5)x^(-6)-(-4) => x^-2 ; x^(-2)+3=x
y^5-8=y^-3
=>z^3/ x^2*y^3
z^0=1
x/y^3
Is the relation shown in the table below a function?
JADA, DIEGO, AND ELENA EACH USE THE SAME SPINNER THAT HAS FOUR (NOT NECESSARILY EQUAL SIZED) SECTIONS MARKED A, B, C, AND D.
JADA SAYS, "THE PROBABILITY OF SPINNING B IS 0.3 BECAUSE I SPUN 10 TIMES, AND IT LANDED ON B 3 TIMES."
DIEGO SAYS, "THE PROBABILITY OF SPINNING B IS 20% BECAUSE I SPUN 5 TIMES, AND IT LANDED ON B ONCE."
ELENA SAYS, "THE PROBABILITY OF SPINNING B IS 2/7 BECAUSE I SPUN 7 TIMES, AND IT LANDED ON B TWICE."
Based on their methods, which probability do you think is most accurate? Explain your reasoning.
What is the measure of angle Y in this figure
Y=____ degrees
Answer:
163
Step-by-step explanation:
What's great about these problems is that when there is a line that is divided by another line, causing 2 angles, the 2 angles must equal 180 degrees. That means the 163-degree angle + either the x or the z angle would equal 180 degrees. The second best part about this is that if it is separated how yours is, with 2 lines, opposite angles are equal. That means that angle x and angle z are equal, as well as the 163 angle is equal to the y angle. Hope this helps with more than just this problem!
Model the following verbal description below with an equation, Table, and graph. The table must include at least five data points. The table must include at least five data points. The basketball team wants to order shirts for the game days. The t-shirt company charges a $5 flat rate for using their services and $2 for every letter on the shirt.
Modeling of a situation is getting its properties held in another system, usually mathematical. The equation for given situation is [tex]C = 2T + 5[/tex]
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case the number of t-shirts brought is not known, so let we take it as T
Since each t-shirt costs $2, thus, T t-shirts will cost: T × $2
Since, cost of using the service of the t-shirt company is $5 flat rate, thus,
Total cost for purchasing T t-shirts = T × $2 + $5
Let total cost be denoted by C, then:
[tex]C = 2T + 5[/tex]
(we usually don't write multiplication sign usually, and write the quantities close to each other, denoting that they're in multiplication.)
(we usually don't write symbols like $ etc in equations. It is known from context like what type of currency is in discussion(if multiple currency, then we can do some modification to variable symbols).
Thus,
The equation for given situation is [tex]C = 2T + 5[/tex]
Table for it, using values of T from 1 to 5, we get:
[tex]\begin{array}{cc}T&C\text{(In dollars)}\\1&7\\2&9\\3&11\\4&13\\5&15\end{array}[/tex]
Plotting them in graph, we get the following attached graph.
Learn more about forming equations here;
https://brainly.com/question/12279939
How to Calculate discount rate
Answer:
[tex]\frac{i\times d}{100}[/tex]
Step-by-step explanation:
To calculate the discount, we multiply the initial amount (i) to the discount (d) and then divide that answer by 100. After we find that answer we then subtract it from the initial price.
For example:
A computer costs $695 and it has a 7% discount. Calculate the total costs of the computer after the 7% discount.
[tex]\frac{695\times7}{100} =695\times7=4865\div100=48.65[/tex]
[tex]695-48.65=646.35[/tex]
[tex]c=646.35[/tex]
The computer (after a 7% discount) costs "$646.35 dollars."
Hope this helps.
100 points for user sweet Jennifer Whenever we observe a distant planet, star or galaxy, we are seeing it as it was hours, centuries or even millennia ago. This is because light travels at a finite speed (the speed of light) and given the large distances in the Universe, we do not see objects as they are now, but as they were when the light was emitted.
BCDE is a Rhombus.
B
С
55°
E
D
What is the mDBE?
The quotient of 10 and a
Answer:
The answer I believe is 10? Sorry if i am wrong
Step-by-step explanation:
in algebra, if there is a variable without a coefficient, then it just means 1. So a = 1, and 10 ÷ 1 = 10
A construction company takes 1 3/8 hours to remove 2 1/2 metric tons of dirt from a construction site. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.
PLEASE HELP!! NO LINKS PLZ
Answer:
1 9/11 T/h
Step-by-step explanation:
You want the unit rate in metric tons per hour of removal of 2 1/2 metric tons in 1 3/8 hours.
Unit rateThe unit rate in tons per hour is found by dividing tons by hours:
(2 1/2 T)/(1 3/8 h) = (5/2 T)/(11/8 h) = (20/8 T)/(11/8 h) = 20/11 T/h
= 1 9/11 T/h
The unit rate is 20/11 metric tons per hour, or 1 9/11 metric tons per hour.
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Which of these is a service industry?
A. a textile plant
B. an oil refinery
C. an aircraft manufacturer
D. a dry-cleaning store
I think its either c or b but more but not so sure.... help......
Its D i hope that helped
A bootstrap sampling distribution was constructed for a single mean. The sample mean was 100 and the standard deviation was 15. Given a sample size of 30 the standard error was 2.739. If the sample size were increased to 500, how would the standard error change?
a. It would increase.
b. It would stay the same.
c. It would decrease.
Answer:
c. It would decrease
Step-by-step explanation:
When you increase the sample size, you decrease the standard/marginal error since you have a bigger representation of the population. However, this would take time and money to collect data for these big samples.
A bag contains 7 yellow marbles and 35 red marbles. If a representative sample contains 2 yellow marbles, then how many red marbles would you expect it to contain? Explain.
30 maybe, not to sure, sorry if its wrong
Find the slope of the graph
Answer: The slope of the graph is -2
Step-by-step explanation:
Take any two points from the graph, and do rise/run
For example, we take (1,3) and (2,1)
Apply rise/run... rise: 2, run: -1
2/-1 = -2
m = -2
For the next question, the slope is 4
And the last question, the slope is 1 1/2
Hope this helped!
The temperature on one planet is -42 degrees. On another planet, it is -70 degrees. What is the difference in these 2 temperatures?
Answer:
28 degree difference
Step-by-step explanation:
-70-(-42) = -28
please help!
use the order of operations to solve each problem.
1.) 2×3[7+(6÷2)]
2.) 3[-3(2-8)-6]
3.) 3×3[2-(9÷3)]
4.) 2[-5(4-12)-3]
5.) [(3×3)-(30÷6)]+(-27)-13
6.) 2÷[(4÷2)+(32÷8)]
Answer:
1.) 60
2.) 36
3.) -9
4.) 74
5.) -36
6.) [tex]\frac{2}{6} =\frac{1}{3}[/tex]
Step-by-step explanation:
1.) 2×3[7+(6÷2)]
2×3[7+3]
2×3×10
2×30
60
2.) 3[-3(2-8)-6]
3[-3(-6)-6]
3[18-6]
3×12
36
3.) 3×3[2-(9÷3)]
3×3[2-3]
3×3[-1]
3×3×-1
9×-1
-9
4.) 2[-5(4-12)-3]
2[-5(-8)-3]
2[40-3]
2×37
74
5.) [(3×3)-(30÷6)]+(-27)-13
[9-5]+(-27)-13
4-27-13
4-40
-36
6.) 2÷[(4÷2)+(32÷8)]
2÷[2+4]
2÷6
[tex]\frac{2}{6} =\frac{1}{3}[/tex]
Hope this helps!
PLEASE HELP FAST
Let (W) be the number of white T-shirts and (T) the number of tie-dye T-shirts.
w+t=500
15w+20t=9000
If w is on the horizontal axis, then the intercepts of the line for the first equation are
x-intercept: (500,0),
y-intercept: (0,500).
what are the intercepts of the line for the second equation?
The x intercepts is ____
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)
The Y intercept is ___
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)
Answer:
x-Intercept: 600,0
y-intercept:0,450
Step-by-step explanation:
Got it right on the test
Answer:
The x intercept is 600, 0. The y intercept is 0, 450.
Step-by-step explanation:
I got it correct on edge.
Plsss someone helpppp find the apothem
Answer:
Step-by-step explanation:
53. A=6.
54.we use the Pythagorean theorem =>
8^2=(8:2)^2+x^2
64=16+x^2
x^2=64-16=48
=> A=sqrt(48)= 4*sqrt(3).
You can also visit this site,I think it will be helpful for you to understand the solution better: https://www.wikihow.com/Calculate-the-Apothem-of-a-Hexagon
please help with this : use 3 for pi
My first question ever, and my last question yet.
Alec and Beau race to compute 1 + 2 + 3 + ... + n. Alec skips two numbers and gets a sum of 92. Beau double-counts two numbers and gets a sum of 145. What is the value of n?
Answer:
n = {14, 15, 16}Step-by-step explanation:
This is a sum of the first n terms of an AP:
S = (1 + n)*n/2The true sum is between 92 and 145:
92 < n(n + 1)/2 < 145184 < n(n + 1) < 290184 < n² + n < 290185 < (n + 1/2)² < 291√185 < n + 1/2 < √29114 ≤ n < 17Let n = 14
S = 14*15/2 = 105Let n = 15
S = 15*16/2 = 120Let n = 16
S = 16*17/2 = 136(4k3 +3k3) - (5k3 + 2k4)
Answer:
-2k
Step-by-step explanation:
Answer: You combine like terms
2k^3-2k^4
im stumped on this question. someone help me plss
Answer:
One of the answers could be linear
Step-by-step explanation:A linear graph is always a straight line, and this looks to demonstrate that. Sorry if this is incorrect, just my understanding.
8
——
math
pls help geniuses!!
——————————-
Answer:
C = ( -7 , 6 )
R = 2
SO ...
The ANSWER is "A"