Answers
Answer:
The length of diagonal BD is 11·(1 + √3)
The length of diagonal AC = 22
Step-by-step explanation:
The given data are;
Quadrilateral ABCD = A kite
The length of segment AD = 22
The measure of ∠DAE = 60°
The measure of ∠BCEE = 45°
Whereby, triangle ΔADE = A right triangle, and DE is the perpendicular bisector of AC, by trigonometric ratio, we have;
AE = EC
DE = 22 × sin(60°) = 11·√3
AE = 22 × cos(60°) = 11
∴ AE = EC = 11
BE = EC × tan(∠BCE) = 11 × tan(45°) = 11
The length of the diagonal BD = BE + DE (By segment addition property)
∴ BD = 11 + 11·√3 = 11·(1 + √3)
The length of diagonal BD = 11·(1 + √3)
The length of diagonal AC = AE + EC
∴ AC + 11 + 11 = 22
The length of diagonal AC = 22.
Related Questions
Pls help I need help with 4 I need a answer and a explanation pls
Answers
Answer:
because it has the words "less than", the "-2" is after the multiplication which is "2n" so the answer is...
D.) 2n-2
Step-by-step explanation:
Anna's class has already collected 74 cans for the annual canned food drive. Her class
must collect more than 200 cans to reach their goal. The class plans to collect 15 cans
each day. Which inequality shows the number of additional days, d, Anna's class
needs to reach the goal?
CLEAR
15d + 74 > 200
15d - 74 > 200
15d + 74 > 200
150 – 74 > 200
Answers
Answer:
15d + 74 > 200
d > 8.4 days
Step-by-step explanation:
Total cans needed = over 200
Number of cans they have = 74
Number of cans needed per day = 15
Number of days = d
The inequality is
74 + 15d > 200
Also written as
15d + 74 > 200
15d > 200 - 74
15d > 126
d > 126/15
d > 8.4 days
Answer:
15d + 74 > 200
d > 8.4 days
Step-by-step explanation:
Total cans needed = over 200
Number of cans they have = 74
Number of cans needed per day = 15
Number of days = d
The inequality is
74 + 15d > 200
Also written as
15d + 74 > 200
15d > 200 - 74
15d > 126
d > 126/15
d > 8.4 days
A store is having a 20% off sale. The final sale price of the items will include 5% sales tax.
The final sale price of an item can be expressed as 1.05(x – 0.2x), where x is the original price of the item.
Answers
Answer:
0.84 and 84
Step-by-step explanation:
1.05 (x -0.2x) = 1.05 (1-0.2)x = 1.05 * 0.8 x= 0.84x
84% of the original price of item
Answers:
first box = 0.84xsecond box = 84=================================================
Explanation:
Think of x - 0.2x as 1x-0.2x. The numbers out front, the 1 and -0.2, combine to 0.8
The 0.8 converts to 80%, meaning that if there's a 20% off sale, then you still have to pay the remaining 80% of the original price.
The 1.05 indicates that we started with 100%, and then add on 5% sales tax, so 100% + 5% = 1 + 0.05 = 1.05
---------------
Simplifying the expression given to us leads to
1.05(x - 0.2x)
1.05(1x - 0.2x)
1.05(0.8x)
(1.05*0.8)x
0.84x
This shows that the final price, after tax, is 84% of the original price.
what fraction is bigger? 11/20 or 2/5
Answers
Answer:
Let's make both of them have a common denominator since we can't just identify by the looks of it.
2 x 4 = 8
___
5 x 4 = 20
11/20 > 8/20
11/20 is bigger.
Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).
a.
(-7.7,-3)
c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)
Please select the best answer from the choices provided
A
B
C
D
Answers
Given:
A vector from (-3.7,2) to (-4, -5).
To find:
An ordered pair that represents the vector
Solution:
If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)[/tex]
A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]
Therefore, the correct option is b, i.e., (-0.3,-7).
A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0
Answers
Answer:
Have a cat Do not have cat
Have a dog 7 5
Do not have a dog 6 0
Step-by-step explanation:
Have a cat Do not have a cat
Have a dog 7 5
Do not have a dog 6 0
How to fill the two-way frequency table?The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.
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a tin has asquare base whose sides measures 32 cm .the vertical sides are 50cm high.cake mixture is poured into the tin and leveled off at the 38 cm mark above the base
(i)the capacity of the tin
(ii)the volume of the cake mixture in the tin in cm^3
(iii)volume of the space unoccupied by the cake in cm^3
Answers
Answer:
(a) V = 51200 cubic cm
(b) V' = 38912 cubic cm
(c) V'' = V - V' = 12288 cubic cm
Step-by-step explanation:
side of the square base, s = 32 cm
height, h = 50 cm
height of cake mixture, h' = 38 cm
(a) The capacity of the tin is the volume.
Capacity of tin, V = s x s x h = 32 x 32 x 50 = 51200 cubic cm
(b) The volume of the cake mixture is
V' = s x s x h'
V' = 32 x 32 x 38 = 38912 cubic cm
(c) Volume of unoccupied space is
V'' = V - V' = 51200 - 38912 = 12288 cubic cm
Unit 4: Systems of Equations
One week, Carlos bought 6 dog treats and 4
cat treats for $42. The next week, he bought 2
dog treats and 7 cat treats for $31.
Create an algebraic representation of the
situation above.
How many does each dog tre at cost?
How much does each cat treat cost?
Answers
Answer:
$5 for a dog treat
$3 for a cat treat
Step-by-step explanation:
week 1: 6d + 4c = 42
week 2: 2d + 7c = 31
*used calculator & guessed what each treat costs*
WEEK 1:
6(5) + 4(3) = 42
30 + 12 = 42
42 = 42
WEEK 2:
2(5) + 7(3) = 31
10 + 21 = 31
31 = 31
Changing a single verb can change the story the sentence creates.
a.true
b.false
Answers
Answer:
yeah its totally true, it happened from me to
answer
the answer is true
the figure below. help me please
Answers
The average number of games a player has appeared in the 2021 NBL games as of now is about 40 games
with a standard deviation of 10 games. Determine what percent of players have appeared in 45-56 games,
write as a percent with two decimal places.
Answers
2.35 x 23.6 =
show work
Answers
Answer:
hope this helps <33 (55.460)
Step-by-step explanation:
2.35
x 23.6
---------------------
1 23
1 . 4 1 0
1 1
7 . 0 5 0
1
47 . 0 0 0
---------------------
1
5 5 . 4 6 0
There is a prism with a pentagonal base the height is 8 cm the area of the pentagonal base is 30.5cm what is the volume of the prism
Answers
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³
what is the area???!?!?!
Answers
9514 1404 393
Answer:
ac
Step-by-step explanation:
The length of the base is the x-distance between E and H, so is ...
base = a - 0 = a
The height is the y-distance between E and F, so is ...
height = c - 0 = c
The area of the parallelogram is the product of base and height.
A = base×height
A = a×c
The area of the parallelogram is ac.
30. Which of the following is the algebraic form for the verbal statement shown?
“13 more than the product of 4 and a number, n”
A,B,C, Or D
Answers
Answer:
Choice B
Step-by-step explanation:
4n (product of 4 and n) + 13 (13 more)
Answer:
B
Step-by-step explanation:
dèez nuts in your mouth lol
Answers
Answer:
free
Step-by-step explanation:
points .-.
Tobias is constructing barriers to prevent cars from driving on a bike path. He can make conical pylons using the dimensions shown. If he used the
same amount concrete to construct a spherical barrier, how tall would it be? Use 3.14 for and round your answer to the nearest tenth of a foot. PLS HELPPP !
Answers
Answer:
1.6 ft.
Step-by-step explanation:
Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:
Volume = πr²h/3
Therefore substituting gives:
Volume = π(1)²(2)/3 = 2π/3 ft³
Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.
Volume of sphere = 4πr³/3
4πr³/3 = 2π/3
2r³ = 1
r³ = 1/2 = 0.5
r = ∛0.5 = 0.8 ft.
Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.
Solve for x . Enter the solutions from least to greatest. x^2 + 3x - 4 = 0
Answers
Answer:
x^2+(4-1)x-4=0
x^2+4x-x-4=0
x(x+4)-1(x+4)=0
(x-1)(x+4)=0
either (x-1)=0 Or,(x+4)=0
x-1=0
x=0+1
x=1
x+4=0
x=0-4
x=-4
therefore x=-4,1
Step-by-step explanation:
The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).
In this case, a = 1, b = 3, and c = -4, so we have:
x = (-3 ± √(3² - 4(1)(-4))) / 2(1)
x = (-3 ± √(25)) / 2
x = (-3 ± 5) / 2
x₁ = (-3 + 5) / 2 = 1
x₂ = (-3 - 5) / 2 = -4
Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
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Help please !! What’s the answer ??
Answers
Answer:
2(5+3)
Step-by-step explanation:
Answer:
2(5$+3$)
Step-by-step explanation:
hope this helps
Kane rolls a dice and flips a coin at the same time. What is the probability he rolls a 2 or lower and the coin lands on heads?
Answers
Answer:
The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.
Step-by-step explanation:
Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:
Given = 6 sides = 2/6
Coin = 2 sides = 1/2
2/6 x 1/2 = X
0.333 x 0.5 = X
0.1666 = X
0.1666 x 100 = 16.66
Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.
If x= 3, then the length of AB is
Answers
Answer:
7
Step-by-step explanation:
AB = 3x-2
Let x=3
AB = 3*3 -2
= 9-2
=7
Which point is an x-intercept of the function y = 2 cot(1/4^x)?
A) (0,0)
B) (π,0)
C) (2 π,0)
D) (4 π,0)
Answers
Just need to put zero instead of y and solve the equation for find the value of x :
0 = 2 Cot ( x/4 )
Cot ( x/4 ) = 0
Cot ( x/4 ) = Cot ( π / 2 )
x / 4 = π / 2
x = 4 × π / 2
x = 2π
Thus the correct option is C .
¿Cuáles son los procedimientos a ambos lados de la igualdad que se deben realizar para calcular el valor de la incógnita x en la siguiente ecuación? 2x+5=7
Answers
Answer:
Los procedimientos que se deben realizar para calcular la incógnita x en la ecuación 2x+5=7 son:
El 5 que está sumando a la izquierda del igual, se pasa a restar a la derecha del igual.El 2 que multiplica a x a la izquierda del igual, se pasa a dividir a la derecha del igual.Step-by-step explanation:
Siguiendo los procedimiento descritos en la respuesta, para calcular el valor de la incógnita:
2x + 5 = 7Seguimos el primer paso: el 5 que está sumando a la izquierda del igual, se pasa a restar a la derecha del igual:
2x = 7 - 5Seguimos el segundo paso: el 2 que multiplica a x a la izquierda del igual, se pasa a dividir a la derecha del igual:
[tex]x=\frac{7-5}{2}[/tex]Como puedes ver, así se despejaría la incógnita x y solo faltaría operar los datos en la ecuación para obtener la respuesta:
[tex]x=\frac{2}{2}[/tex][tex]x=1[/tex]El resultado que nos daría la incógnita x sería 1. Podemos probar el resultado en la ecuación original para comprobar el resultado que obtuvimos:
2x + 5 = 72 *(1) + 5 = 72 + 5 = 77 = 7Así, identificamos que los procesos realizados fueron correctos.
PLZ HELP ME MARK AS BRAINLY HOWEVER ANSWERS FIRST!!!!
Answers
Answer:
115
Step-by-step explanation:
When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52, 7 times 9=63, 52+63=115. Hope this helps!
Basit plate and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third time he scored 30000 what was his Score per game ?
Answers
Answer:
60000 points per game
Step-by-step explanation:
Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game.
Solution:
Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.
Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:
Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game
what question is being asked ?
Answers
Answer:
4 meters
Step-by-step explanation:
Assuming that the garden is a rectangular garden, its area would be length ×width.
Let the length be L meters and the width be W meters.
Area= L ×W
48= LW -----(1)
Given that the length is 3 times the width,
L= 3W -----(2)
Substitute (2) into (1):
48= 3W(W)
3W²= 48
Divide both sides by 3:
W²= 48 ÷3
W²= 16
Square root both sides:
[tex]W = \sqrt{16} [/tex]
W= 4 (reject negative as width cannot be a negative number)
Thus, the width of the garden is 4 meters.
What is the answer to the expression? Use Distributive Property to solve the expression.
2(35x + 15)
Answers
2 times 15 =30
70x+30
Steve went the the baseball game with some of his friends. He bought 3 packages of peanuts and 4 hotdogs for a total of $14.50. Mark bought 1 package of peanuts and 6 hotdogs for $13.00. Ruben came with his family to the baseball game and bought 6 package of peanuts and 10 hotdogs. How much money did Ruben spend?
Answers
each package of peanuts = $2.50
each hotdog = $1.75
Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
What is a system of linear equations?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.
Let p = packet of peanuts and h = hotdogs
Establishing the system of linear equations to find the cost of one each,
3p + 4h = 14.50.............(i)
p + 6h = 13
p = 13 - 6h........(ii)
Put eq (ii) in the eq(i)
3(13-6h) + 4h = 14.50
39 - 18h + 4h = 14.50
-14h = -24.5
h = 1.75
Put h = 1.75 in eq(ii)
p = 13 - 6(1.75)
p = 2.5
Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75
Therefore, 6 package of peanuts and 10 hotdogs will costs =
6(2.5) + 10(1.75) = 15 + 17.5 = $32.5
Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
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An architect makes a scale drawing of a building. The scale used is 1 cm represents 20 m. Calculate the actual width of the building if the width on scale drawing is 24.5 cm
Answers
Answer: 490 m
Step-by-step explanation:
pls help me!!!!!!
ASAPPPPP
Answers
Answer: 1.185921/3
Step-by-step explanation:
Answer:
1/3 x 1/3 x 1/3 x 1/3 = 1/81
Step-by-step explanation:
You are multiply 1/3 by itself 4 times since it is to the power of 4.