Answers
Answer:
x = 16√3
y = 8√3
z = 24
Step-by-step explanation:
From the figure attached,
By applying cosine rule in ΔABD,
cos(45°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{z}{24\sqrt{2} }[/tex]
z = 24
By applying sine rule in ΔABD,
sin (45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{AD}{24\sqrt{2} }[/tex]
AD = 24
By tangent rule in ΔADC,
tan(60)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\sqrt{3}=\frac{AD}{DC}[/tex]
[tex]\sqrt{3}=\frac{24}{y}[/tex]
y = 8√3
Similarly, by sine rule in ΔADC,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}= \frac{AD}{AC}[/tex]
[tex]\frac{\sqrt{3} }{2}= \frac{24}{AC}[/tex]
AC = 16√3
x = 16√3
Related Questions
please answer asap!
5=x+8
Answers
Answer:
the answer for your question will be -3
Step-by-step explanation:
x+8=5. -3+8=5,.
Answer:
3
Step-by-step explanation:
You have to move 8 to the other side of the equation.
So the equation becomes 8 - 5 = x
8 - 5 = x
Therefore 3 = x
Point C is located at (-4, -6) on the coordinate plane. Point C is reflected over the y-axis to create point C'. What ordered pair describes the location of C''?
Answers
Answer:
(4,6)
Step-by-step explanation:
Since its reflected just remove the signs
The reflected coordinate points along the y-axis is C'(4, - 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know reflection over the y-axis changes (x, y) to (- x, y).
Given, Point C(-4, -6) is reflected over the y-axis.
∴ The reflected coordinate points C'(4, - 6).
learn more about transformations here :
https://brainly.com/question/11709244
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If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answers
-3•(-1) -4
3-4
-1
the answer is -1 good luck
Help me please...........:)
Answers
Answer:
4/3
Step-by-step explanation:
The round off value of 10256/32548 up
to three decimal places
Is
Answers
Answer:
0.315
Step-by-step explanation:
10256/32548 is about 0.3151 (I used calculator)
0.3151 rounded to thousandth place is 0.315
Remember the rule when round, 5 and above, up, below 5, stay the same.
The number after 5 in 0.3151 is 1 and 1 is less than 5, so the 5 stays the same.
Hope I was able to help! Good Luck!
Another fun game to do... copy and paste this on your page so others will have fun doing it too! Don’t leave anything out!
1. Think of a number
2. Double it
3.add 10
4. Half it
5. Take away the number you started with
6. Your answer is 5 Right?
Answers
Step-by-step explanation:
it worksss lolll
10
10×2
20+10
30÷2
15-10
yeahhh 5
great lolll
have a great day :)
Can a line be drawn in the plane that is not a function?
Ο Νο
O Yes
Answers
Answer:if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Step-by-step explanation:So it is a no ok.
Today, everything at a store is on sale. The store offers a 20% discount.
If a customer paid $25 for a hat, what is the regular price for the hat?
Answers
PLEASE HELP
A circular garden will have grass planted around a triangular region of flowers as shown in the diagram below. How many square feet will be covered in grass? Round to the nearest square foot.
1,858 ft 2
9,888 ft 2
1,291 ft 2
1,966 ft 2
Answers
Answer:
Option (4)
Step-by-step explanation:
From the picture attached,
ΔABC is a right triangle.
Since, inscribed angle in a semicircle is always a right angle, Hypotenuse AC will be the diameter of the circle.
Length of diameter AC = 58 ft
Radius of the circle = [tex]\frac{58}{2}=29[/tex] ft
Area of the circular garden = πr² [r = radius of the circle]
= π(29)²
= 2642.08 ft²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(27)(50)[/tex]
= 675 ft²
Area of the of the region covered with grass = Area of the circular garden - Area of the right triangle
= 2642.08 - 675
= 1967.08 ft²
≈ 1966 [Nearest value]
Option (4) will be the answer.
Julie made 40 chocolate
cupcakes and 32 vanilla
cupcakes. What is the
ratio of chocolate to
vanilla cupcakes in
simplest form? HELP ASAP
Answers
Answer:
5 to 4
Step-by-step explanation:
when it's asking for a ratio it's basically division
chocolate/vanilla = 40/32 = 5/4
5/4 is the same as 5:4 or 5 to 4
5/9&4/9=5 to 4
The rectangle to the right has width 6x5 feet and length 9x8 feet. Find its area as
an expression of x.
Answers
Answer:
54x¹³Step-by-step explanation:
area = L x W
where L = 9x⁸
W = 6x⁵
plugin values into the formula:
Area = 9x⁸ * 6x⁵
= 54x¹³
The area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
To find the area of the rectangle, we can use the formula for the area of a rectangle, which is:
Area = length × width
Given that the width is 6x5 feet and the length is 9x8 feet, the area of the rectangle is:
Area = (9x8) × (6x5)
To simplify the expression, multiply the coefficients and combine the variables:
[tex]Area = 54x^2 * 40x[/tex]
Now, multiply the coefficients:
[tex]Area = 2160x^3[/tex]
So, the area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
To know more about area, refer here:
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y = 2x - 1
y=-3x + 4
Solve the following system of equations for x
Answers
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 1
y = -3x + 4
Step 2: Solve for x
Substitution
Substitute in y: 2x - 1 = -3x + 4Add 3x on both sides: 5x - 1 = 4Add 1 to both sides: 5x = 5Divide 5 on both sides: x = 1Answer:
[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]
x= 1 is the right answer.y = 2x
-6x + 3y = 16
Solve please
Answers
Answer:
(x,y) = ∅
Step-by-step explanation:
-6x+3(2x)=16
this equation equals to zero
therefore there are no solutions
Can someone please help me on this
Answers
9514 1404 393
Answer:
y = -5x³
Step-by-step explanation:
The point of inflection of the parent cubic function f(x) = x³ is at the origin, the same place it is shown on the graph. So, there is no translation involved in creating the graph.
We know the parent function gives f(1) = 1, but here, we have (x, y) = (1, -5). This suggests a vertical scale factor of -5. So, the transformed function is ...
y = -5x³
Bo feeds his dog twice a day. In the morning, he feeds the dog 1/3 kg of dog food. In the evening, he feeds the dog 2/10 kg of food. Select the true statement about the amount of food Bo feeds his dog.
Answers
Answer:
8/15 kg of food daily
Step-by-step explanation:
Bo feeds his dog twice a day. In the morning, he feeds the dog 1/3 kg of dog food. In the evening, he feeds the dog 2/10 kg of food.
The total kilograms of food that Bo feed his dog is calculated as:
Number of kilograms fed in the morning + Number of kilograms fed in evening
= 1/3 kg + 2/10kg
The Lowest Common Denominator = 30
= 10 + 6/30
= 16/30
= 8/15 kg
Therefore, Bo feeds his dog 8/15kg of food daily.
Answer:
Both fractions are less than 1/2
1/2 kg
Step-by-step explanation:
Mammoth Cave in Kentucky has a depth of −124.1 meters. Suppose a hiker traveled to the bottom of the cave. How many meters did the hiker descend? __ m
Answers
Answer:
124.1 m
Step-by-step explanation:
Given that:
Depth of mammoth cave = - 124.1 meters
To travel to the bottom of the cave, hence, the hiker is at the maximum depth.
Since the depth of the cave is - 124.1 m and the hiker has traveled down tonthe bottom and hence covered the total depth. Then thebhiker must have descended by the same value corresponding to the depthnifnthe cave = 124.1 meters
Tiffany's allowance is reduced $1.25 every time she forgets to clean her room. If she forgets to clean her room 7 times this month, by how much money is Tiffany's allowance reduced? A. $7.25 B. $8.75 C. $17.85 D. $18.75
Answers
Answer:
$8.75
Step-by-step explanation:
Tiffany allowance is reduced by $1.25 each time she forgets to clean her room
If she forgets to clean her room 7 times this month
Then her allowance is reduced by
= 1.25 × 7
= 8.75
Hence Tifanny allowance is reduced by $8.75
Answer:
Hence Tifanny allowance is reduced by $8.75
What is the rate of change of the linear equation 3.9x + y = 15.21?
A. -15.21
B. -3.9
C. 3.9
D.15.21
Answers
Help me please :( !!
Answers
Answer:
Step-by-step explanation:
Table
Time 3 6 9 12
Rainfall 2 4 6 8
Time is on the x axis
Rainfall is on the y axis
Slope = (y2 - y1)/(x2 - x1)
Slope = (8 - 2) /(12 - 3)
Slope = 6/9 = 2/3
Unit rainfall = 2 cm rainfall / 3 hours = 0.667 cm rainfall / hour.
2. On Saturday morning the temperature outside was 4 degrees Fahrenheit. By noon, the temperature had risen 12 degrees, and then at 9 P.M., it dropped 17 degrees. Write an expression that this situation describes. What was the temperature at 9 P.M.? Explain how you could use the vertical number line as a tool to solve the problem.
Answers
Answer:
it is 16 degrees outside then take away the 17 from the 16 and the answer is 1 degree
8 cm
What is the area of the circle above?
OA. 8 sq cm
OB. 24 sq cm
OC.
16 sq cm
OD. 64 sq cm
Answers
Answer:
Step-by-step explanation:
A = (3.14)(8)2
= 200.96
Triangle ABC has vertices at A(1, 2), B(4,6), and C(4,2) in the coordinate
plane. The triangle will be reflected over the x-axis and then rotated 180°
about the origin to form a A'B'C'. What are the vertices of A'B'C'?
A. A'(1, -2), B'(4, -6), C'(4,-2)
B. A'(-1, -2), B'(-4,-6), C'(-4,-2)
C. A'(-1,2), B'(-4, 6), C'(-4,2)
D. A'(1, 2), B'(4, 6), C'(4,2)
Answers
Answer:
c
Step-by-step explanation:
Can u pls help me with that question
Answers
Where’s the question sweetheart I don’t see anything?
Answer:
umm... thanks for the points????????
Step-by-step explanation:
I WILL GIVE BRAINLIEST ihrugq'iu;igig54i;gtq;ha;gv
Diego wrote the inequality 5m + 10 ≤ 130 to represent m, the number of minutes he spent doing homework for one class. Which is the greatest amount of time he could have spent doing homework for each subject?
28 minutes
23 minutes
20 minutes
24 minutes
Answers
5(24) + 10 = 130
IF YOU DO ALL THREE AND U ANSWER THEM CORRECTLY ILL GIVE YOU 50+ POINTS
❤️
Answers
Answer:
30 on the first one 5x6=30, the 2nd one is 5 and the 3 one is 10 chickens
Answer:
1. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)
2. If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)
3. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)
pls helppp 30 points
Answers
Find the new price after the markdown given. Round to the nearest cent if necessary. $5,250 marked down 15%
Answers
Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)
Multiply the original price by 85%:
5250 x 0.85 = 4462.50
The new price is $4,462.50
Helllp,??????????????
Answers
Or
3x+9+10x=33
13x+9=33
13x=26
X=2
The football team has a total of 25 jerseys. There are 10 medium-sized jerseys. What percent of the
jerseys are medium-sized jerseys?
% are medium-sized jerseys.
Type a whole number.)
Answers
Answer:
40%
Step-by-step explanation:
Which number line shows the solution of 5x- 25 <-15
Answers
Answer:
I would say C is correct.
Step-by-step explanation:
Hope this helps you and have a wonderful day:)