The question is not written properly! Complete question along with answer and explanation is provided below.
Question:
Farrah is making a dragon costume for her little brother. It would have triangular spikes down the head and back.
Each head spike has a base of 2 cm and a height of 6 cm.
Each back spike will be 10 cm high with a base of 6 cm.
if the costume has 6 spikes on the back and on the head 10 more spikes than the back then how many square centimeters of fabric will farrah need for all the dragon spikes?
Given Information:
Base of head spike = b₁ = 2 cm
Height of head spike = h₁ = 6 cm
Base of back spike = b₂ = 6 cm
Height of back spike = h₂ = 10 cm
Number of head spikes = n₁ = 10 + 6 = 16
Number of back spikes = n₂ = 6
Required Information:
How much fabric is needed = ?
Answer:
Farrah would need 276 cm² of fabric for all the dragon spikes.
Step-by-step explanation:
We are given that dragon costume have triangular spikes down the head and back.
The area of triangular shape is given by
Area = ½×b×h
Where b is the base and h is the height
The area of the head spike is
A₁ = ½×b₁×h₁
A₁ = ½×2×6
A₁ = ½×12
A₁ = 6 cm²
But we know that the number of head spikes is 16 so the total area of the head spikes is
A₁ = 16×6
A₁ = 96 cm²
The area of the back spike is
A₂ = ½×b₂×h₂
A₂ = ½×6×10
A₂ = ½×60
A₂ = 30 cm²
But we know that the number of back spikes is 6 so the total area of the back spikes is
A₂ = 6×30
A₂ = 180 cm²
The total area required is the sum of the area of head spikes and back spikes,
Total area = A₁ + A₂
Total area = 96 + 180
Total area = 276 cm²
Therefore, Farrah would need 276 cm² of fabric for all the dragon spikes.
5) The radius of a circle is 6mm. If the sector area is 14.14 mm2, what is the degree measure of the sector?
Answer:
Step-by-step explanation:
sector area = angle/360 * pi * r^2
14.14 = angle/360 * 22/7 * 6^2
14.14 = angle/360 * 22/7 * 36
(360 * 14.14 * 7)/(22 * 36) = angle
angle = 44.99 = 45 degrees
13 POINTS!!!
In ΔJKL, j = 74 inches, k = 14 inches and l=67 inches. Find the measure of ∠L to the nearest degree.
Answer:
55°
Step-by-step explanation:
Using cosine law
67² = 74² + 14² - 2(74)(14)cos(L)
cos(L) = 169/396
L =55.18378419
The measure of angle L to the nearest degree is 55°.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given, for a triangle JKL,
j = 74 inches, k = 14 inches and l = 67 inches.
We can use law of cosines to find the measure of angle L.
Using the law of cosines,
l² = j² + k² - 2jk cos(L)
67² = 74² + 14² - (2×74×14) cos(L)
4489 = 5476 + 196 - 2072 cos(L)
4489 = 5672 - 2072 cos(L)
-1183 = - 2072 cos(L)
cos (L) = 0.5709
L = 55.18° ≈ 55°
Hence the measure of angle L is 55°.
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What is the value of q2– p2 for q = 4 and p = 2?
O A. 2
B. 4
C. 8
O D. 12
E.
14.
Answer:
q2- p2
4*2-2*2
8-4
B.4
Step-by-step explanation:
The value of q² - p² is 12 for the given value of p and q.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, The value of p = 2 and q = 4
the value of q² - p² for the given value
=> q² - p² = 16 - 4
=>q² - p² = 12
therefore, For the specified values of p and q, the value of q2 - p2 is 12.
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Find the quotient.
3 divided by 3636
A. 1,212
B. 1,202
C. 122
D. 112
E. 102
help asap!!
How many line segments are shown in the drawing
Answer:
i cant see the drawing :(
Step-by-step explanation:
i wish i could help tho
Answer: 1
Step-by-step explanation:
it is correct
Ming would like to buy a plane ticket so she can visit her family this Thanksgiving, which is November 26. She has found that tickets for flights on days closer to Thanksgiving are more expensive than flights on days further away from Thanksgiving. A calendar from an airline company showing ticket prices by day is below.
Answer:
$165
Step-by-step explanation:
Answer:
156$
Step-by-step explanation:
Please hurry!
Which of the following is true of the values of x and y in the diagram below?
A. y < x
B. y > x
C. y + x = 1
D. y/x = 1
Answer:
y/x = 1
Step-by-step explanation:
sin 45 = cos 45 = y /1 = x/1
so y = x
or y/x =1
I really need help please.
I need the 8 characteristics of a square in the quadrilaterals!
I found some of them in internet but is very confusing, please heeeeeeelp :"(
Answer:
In Euclidean geometry, a quadrilateral is a four-sided 2D figure whose sum of internal angles is 360°. The word quadrilateral is derived from two Latin words ‘quadri’ and ‘latus’ meaning four and side respectively. Therefore, identifying the properties of quadrilaterals is important when trying to distinguish them from other polygons. So, what are the properties of quadrilaterals? There are two properties of quadrilaterals:
Step-by-step explanation:
Horatio transferred a balance of $2600 to a new credit card at the beginning
of the year. The card offered an introductory APR of 4.3% for the first 5
months and a standard APR of 13.7% thereafter. If the card compounds
interest monthly, which of these expressions represents Horatio's balance at
the end of the year? (Assume that Horatio will make no payments or new
purchases during the year, and ignore any possible late payment fees.)
O A 152800(0,00)" (.cz
O B. (120)(1.0) (2017
(32001, 2003" (1.1980
O D. (2000, 1900 og
O C. ($2600) 1+
Answer:
Step-by-step explanation:
2600(1+0.043/12)^6(1+0.137/12)^7
Using sigma notation write the geographic series: 6+12+24+48+96
Answer:
[tex] $$\sum_{n=1}^{5} 6(2^{n-1}) $$ [/tex]
Step-by-step explanation:
6 + 12 + 24 + 48 + 96 =
= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16
= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4
= 6 * 2^(n - 1)
[tex] $$\sum_{n=1}^{5} 6(2^{n-1}) $$ [/tex]
A rectangle perimeter and its are have the same numerical value. The width of the rectangle is 3 units. What is the length of the rectangle in units
Answer:
six
Step-by-step explanation:
3x6=18 and 3+3+6+6= 18.
Please please thank you
Answer:
option 2
452.16
You would need to use this equation...
V=πr²h
3.14 * (4)² * 9
= 452.16 cm³
A grain silo has the dimensions shown. (height of 60, diameter of 20). The top of the silo is a hemispherical shape. Find the volume of the grain silo.
Answer:
[tex]20943.96 ft^3[/tex]
Step-by-step explanation:
The silo is shaped as a cylinder with a hemisphere on top of it.
We need to find the volume of the shape.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius
h = height
The volume of a hemisphere is given as:
[tex]V = \frac{2}{3} \pi r^3[/tex]
where r = radius
Therefore, the joint volume of both shapes is:
[tex]V = \pi r^2h + \frac{2}{3} \pi r^3[/tex]
The height of the silo is 60 and the diameter is 20.
This means that the radius is 10.
The cylindrical part of the silo and the hemispherical part have the same radius, 10.
The volume of the silo is:
[tex]V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3[/tex]
The volume of the silo is [tex]20943.96 ft^3[/tex]
A spinner numbered 1 through 12 is spun. Find the probability that
the number spun is an 11 given that the number spun was an odd
number. Please write your answer as a fraction.
Answer:
[tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Let A be the event of getting an odd number.
P(A) be the probability of getting an odd number.
Total odd numbers here are 6 i.e. [tex]\{1,3,5,7,9,11\}[/tex]
Here, total numbers in the game are 12 i.e [tex]\{1,2,3,....,12\}[/tex].
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}[/tex]
Let B be the event of getting 11.
P(B) be the probability of getting 11.
Total number of possible cases is 1.
[tex]P(B) = \dfrac{1}{12}[/tex]
[tex]P(A \cap B)[/tex] is the probability that we get 11 and an odd number.
Possible number of cases = 1
[tex]P(A\cap B) = \dfrac{1}{12}[/tex]
P(B/A) is the probability that we get an 11 given that it is an odd number.
[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}[/tex]
Hence, P(B/A) = [tex]\dfrac{1}{6}[/tex]
Answer:
The probability in fraction is [tex]\frac{1}{12}[/tex].
Step-by-step explanation:
Total number of outcomes is = 12
Now we have to find the probability that spun number is 11.
That means favorable outcome is 1.
In this case, the probability can be determined by dividing the number of favorable outcomes by the total outcome. Accordingly, the total outcomes are 12 and favorable outcome is 1.
[tex]\text{P(The spun number is 11)}= \frac{\text{Favorable outcomes}}{\text{total outcomes}} \\\text{P(The spun number is 11)}= \frac{1}{12} \ (in \ fraction)\\\text{P(The spun number is 11)} = 0.083 \ (in \ decimal)[/tex]
Please show work, and i will mark brainliest to first correct answer
Answer:
The volume of Prism will be "189888 inches".
Step-by-step explanation:
L = 43in.
W = 92in.
H = 4ft.
Convert ft. into in.
4 x 12
H=48in.
Volume or V = BH
and
B= L X W
B = 43 X 92
B = 3956 in.
then,
Volume = 3956 x 48 inches
Volume = 189888 inches
Which of the figures is not a net for a cube? Explain.
A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk the cow gives, and x is the number of pounds of grass it eats.
Answer:y=2.5 x
Step-by-step explanation:
Given
Cow give 5 gallon of milk if it eats 2 pound of grass
i.e. it gives 2.5 gallon of milk if it eats 1 pound of grass
So we can say cow given 2.5 times of milk in gallon for each pound it eats
If cow eats x pounds of grass then it must yield 2.5 times of milk
Suppose milk is denoted by y
therefore we can write
y=2.5 x
Therefore y=2.5 x represent the relation between grass and milk produced
At a camp, kids can choose swimming, art, or music.
40 kids choose swimming, 16 choose art, and 24 choose music.
What is the ratio of kids who choose art to kids who choose swimming?
Answer:
3:5
Step-by-step explanation:
all figures can be divided by 8, so
swimming- 40/8= 5
arts 16/8= 2
music 24/8= 3
therefore, the ratio would be 3:5
Answer:
3/5
Step-by-step explanation:
I took it but got it wrong so i did the math problem and got this 3/5
What is the volume of the cylinder? Use 3.14 for pi.
A. 715.92 cm3
B. 489.84 cm3
C. 3183.96 cm3
D. 1469.52 cm3
Answer:
V = 1469.52 cm^3
Step-by-step explanation:
cylinder volume = base area * height
= ( pi * R^2) * h
= pi * 6^2 * 13 = 1469.52 cm^3 (ANS)
(PLEASE ANSWER QUICK!) Why is it important to understand properties of angles and figures to solve problems?
Answer:
The relationships, properties, and theorems will be easier to understand when ... Just like you don't want to do a geometry problem without all the given ... In case you want to get a head start… here are arguably some of the most important theorems for triangles: ... In the figure below, both congruent angles have one arch.
Step-by-step explanation:
A group of 3 adults and 10 children bought tickets to watch a dance
performance. Each adult ticket cost $7 more than each child ticket.
The group paid a total of $125. What was the cost of each child ticket?
Answer:
6
Step-by-step explanation:
guess and check 6(10)+((6+7)5)=125
A cone is cut by a plane parallel to its base. The small cone on top is similar to the large cone, with a similarity ratio of 1 : 2. The ratio between the volume of the small cone to that of the frustum is _ : _.
Answer:
1:1Step-by-step explanation:
The ratio between the volume of the small cone to that of the frustum is 1:1.
Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.
The inside of a refrigerator in a medical laboratory measures 17 inches long by 18 inches wide by 42 inches high. How many cubic inches can it hold?
Answer:
12,852
Step-by-step explanation:
V= l*w*h
V=17*18*42
V= 12,852
An art teacher buys 9 bags of cotton balls. There are 68 cotton balls in each bag.
Which expression is best to estimate the number of cotton balls the teacher
buys?
9+70
9*60
9*70
9+60
Answer:
9*70
Step-by-step explanation:
It is not 9+70 or 9+60 because for this problem multiplication is required.
This problem seems to want you to round to the nearest ten's place. Because the one's place in 68 is above 5, the number will round up.
This means that the answer will be 9*70
Answer:
9*70
Step-by-step explanation:
Rebecca earns $6.25 per hour working after school. She needs at least $125.00 if she wants to buy a new bicycle. Which inequality shows the solution to how many hours Rebecca must work to earn the money for the bicycle? Let h equal the number of hours Rebecca must work.
Answer: the answer is in the steps.
Step-by-step explanation:
6.25h ≤ 125.00
caroline works 8 hours a day 5 days a week she earns £440 each week
how much does she earn per hour ?
Answer:
She earns £11 per hour
Step-by-step explanation:
You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.
Caroline will earn £11 for working per hour.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that caroline works 8 hours a day 5 days a week she earns £440 each week.
The earnings for an hour will be calculated as,
Total hours = 8 x 5 = 40 hours
Earning per hour = £440 / 40
Earning per hour = £11
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Emma jogs 2 miles along the beach in 1 3 of an hour. If she travels at a constant rate, how far will she jog in an hour? 1. Use the known information to write a rate. Emma's rate: 2 miles 1 3 hours 2. Write an equivalent rate with a denominator of 1. 2(3) miles 1 3 (3) hours = ? 1 hour She will jog miles.
Answer:
Step-by-step explanation:
Emma jogs 2 miles along the beach in 1/3 of an hour. At a constant rate, the distance that she jogs on 1 hour would be
Let x represent the number of mikes that she would jog in 1 hour.
If 2 miles = 1/3 of an hour, then
x = 1 hour
Cross multiplying, it becomes
x × 1/3 = 2 × 1
x/3 = 2
x = 3 × 2 = 6 miles
The equivalent rate with a denominator of 1 is 6/1 miles
Answer:
The Answer Is 6.
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A police department used a radar gun to measure the speed of a sample of cars on the highway. Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a standard deviation of 8 mph. Using this distribution what is the z-score of a 65-mph speed limit?
Answer:
The z-score of a 65-mph speed limit is -0.75
Step-by-step explanation:
Here, we want to calculate the z-score
To calculate the z-score, we make use of the z-score formula
Mathematically;
z-score =(x-mean)/SD
from the question we identify the values as x = 65 mph, mean = 71 mph, Standard deviation(SD) = 8 mph
Plugging these values into the equation above, we have
z-score = (65-71)/8 = -6/8 = -0.75
The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.
The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.
To find the height of the incline, we can use trigonometry, specifically the sine function.
Let's consider the triangle formed by the incline track, where:
The angle of elevation (angle between the incline track and the ground) is 30 degrees.
The length of the incline track (base of the triangle) is about 800 feet.
We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).
Using the sine function, we have:
[tex]sin(angle) = opposite\ side / hypotenuse[/tex]
In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).
So, the equation becomes:
[tex]sin(30^o) = h / 800[/tex]
h = 800 * 0.5
h = 400 feet
Therefore, the height of the incline is approximately 400 feet.
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What is the greatest common factor (GCF) of the terms in the polynomial 5y3−25y2+10y?
Answer: 5y
Step-by-step explanation:
[tex]5y^3-25y^2+10y\\5y(y^2-5y+2)[/tex]
