Answers
Answer:
1. 0.9925 (4 d.p.)
2. 17°
3. 67°
Step-by-step explanation:
Question 2
⇒ sin 83° = 0.9925461516...
⇒ sin 83° = 0.9925 (4 d.p.)
Question 3
[tex]\sf \implies \sin X=0.2923[/tex]
[tex]\sf \implies X=\sin^{-1}(0.2923)[/tex]
[tex]\implies \sf X=16.99570395...^{\circ}[/tex]
[tex]\implies \sf X=17^{\circ}\:\:(nearest\:degree)[/tex]
Question 4
Sine Ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the triangle:
[tex]\theta[/tex] = WO = OS = 24H = OW = 26Substitute the values into the formula and solve for W:
[tex]\implies \sf \sin(W)=\dfrac{24}{26}[/tex]
[tex]\implies \sf W= \sin^{-1}\left(\dfrac{24}{26}\right)[/tex]
[tex]\implies \sf W=67.38013505...^{\circ}[/tex]
[tex]\implies \sf W=67^{\circ}\:\:(nearest\:degree)[/tex]
Related Questions
In the following exercises, translate into an equation and solve
Kindergarten Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?
Answers
Answer: 6 children
Step-by-step explanation:
Given:
Children - 24
Groups - 4
Number of children per group - x
Solve:
24 ÷ 4 = x
x = 6
Hope it helps!!! Please mark as brainliest. Thanks :D
Ok, so I have a math assignment that is due on Monday (so in 2 days), but I don't understand it. Here are the instructions:
You buy a pair of jeans at a department store.
Jeans_____ $39.99
Discount___ -10.00
Subtotal____ 29.99
Sales Tax___ 31.94
I have the first two questions done for this question, and I just need help on the last one. Here it is:
The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent?
The percent of markup is __%.
Can anyone please help me?
Thanks!
Answers
Hello, can someone help with this problem?
The graph shows the probability distribution of a random variable.
What is the value of P(4≤X≤8)?
0.40
0.45
0.50
0.55
Answers
Answer:
P(5 ≤ X ≤ 8) = a rectangle with a width of 3 and height of .15 = 3(.15) = .45
P( 4 ≤ X ≤ 5) = a triangle with a base of 1 and a height of (0.15 -0.05) = .10
So....this area = (1/2)(1)(.10) = .05
And another rectangle with a width of 1 and height of .05 = (1) (.05) = .05
So
Adding these areas
P( 4 ≤ X ≤ 8 ) = .45 + .05 + .05 = .55
Step-by-step explanation:
Hoped this helped!
The first steps in determining the perimeter of triangle ABC are shown.
To the nearest whole unit, what is the perimeter of triangle ABC?
6 units
8 units
14 units
16 units
Answers
Answer:
C) 14 Units
Step-by-step explanation:
E2020
Type the correct answer in each box. a race car is driven by a professional driver at 99 . what is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes express the answers to the correct number of significant figures. the speed is equivalent to , or .
Answers
The speed of the car in kilometres per minutes is 2.6565 km/minutes
How to find speed in km/minutes?The car speed is 99 miles per hours.
Therefore,
1 miles = 1.61 km
99 miles = ?
cross multiply
distance = 159.39 km
Therefore,
1 hour = 60 minutes
Hence,
speed = 159.39 / 60
speed = 2.6565
speed = 2.6565 km/minutes
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can someone help me to number 2,4&5.
just 2,4&5 that's all thank you.
Answers
Answer:
See below ~
Step-by-step explanation:
!!20 POINTS AND BRAINLIEST!!! HELP ASAP!!!
How much ribbon would be needed to go around a package that had a length 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3 centimeters?
(show work)
Answers
Answer:
23cm
Step-by-step explanation:
If you multiply like terms you will get the answers. Then you add last to get 23cm
The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.
How much ribbon would be needed to go around the package in centimeters is to be determined.
Perimeter is the measure of the figure on its circumference.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
Quantity of ribbon = perimeter of the rectangular package
= 2 * length + 2* width
= 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
= 2 (3x^2 + 2x -10) / (x^2 + x - 3)
Thus, the required length of ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).
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Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than pounds of tomatoes. She bought 3 times as many pounds of tomatoes as pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?
Answers
Using a system of equations, it is found that Sana's mother bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of pounds of peaches.Variable y: Number of pounds of tomatoes.Variable z: Number of pounds of mushrooms.She bought one more pound of peaches than pounds of tomatoes, hence:
x = y + 1.
y = x - 1.
She bought 3 times as many pounds of tomatoes as pounds of mushrooms, hence:
x = 3z.
y = x - 1 = 3z - 1.
She spent a total of $80, hence considering the cost per pound of each product we have that:
6x + 3y + 10z = 80.
Considering the values of x and y as function of z and replacing in the equation, we have that:
6(3z) + 3(3z - 1) + 10z = 80
18z + 9z - 3 + 10z = 80.
37z = 83.
z = 83/37
z = 2.24.
Then:
x = 3z = 3 x 2.24 = 6.72.
y = x - 1 = 3z - 1 = 6.72 - 1 = 5.72.
Hence, she bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
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7 lbs peaches, 6 lbs tomatoes, 2 lbs mushrooms
yum!
What is the product of the fractions below?
1/8 * 4/5
Answers
Answer: 1/10
Step-by-step explanation:
(1 x 4)/(8x5)
4/40
1/10
Solve system of equation using elimination by addition.
Will give brainliest!!
Answers
Answer:
x = -8
y = 0
Step-by-step explanation:
The two shown equations can be added together:
x + 4y = -8
+ ( x - 4y = -8 )
The two x's would combine to make two x, the 4y and -4y cancel out to zero, and -8 added to -8 is -16:
2x = -16
Therefore, x = -8. We can plug this into the first equation to get:
-8 + 4y = -8
Subtracting 8 on both sides yields:
4y = 0
Now divide by 4 on both sides to get
y = 0
We can check these values by plugging them into the second equation:
(-8) - 4(0) = -8
-8 - 0 = -8
-8 = -8
Since -8 always equals -8, the answer is correct.
Which answer choice has the set of numbers
ordered correctly from least to greatest?
16
13, √, 1.71, 9
3
√. 12, 16, 1.71
4
3
16
1.71, 12, 1
9
O
16.1.71,√, 12
3
9
Answers
Answer:
0
3
3
3
8
9
12,161.71√
I think his is the best order
Area of a rectangular playground in residential society is 2 2/5 km square and one of its sides is 1 2/5 km/ find the length of the other side
Answers
Step-by-step explanation:
area of a rectangle is
length × width
so, in our case
2 2/5 km² = 1 2/5 × width (or length, it does not matter)
12/5 km² = 7/5 × width
width = 12/5 / 7/5 = 12×5 / 7×5 = 12/7 = 1 5/7 km
ACTIVITY #1
Try It!
A. Write the definition, property, postulate or theorem that will prove each of the given statements.
Answers
What completes the proof are:
1. LC ≅ CU; CU ≅ UK
2. Given
3. Unequal angle theorem (Aa → Ss)
What is the Unequal Angle Theorem?The unequal angle theorem states that the longer side of a triangle will always be directly opposite the largest angle measure. This implies that, if an angle that is opposite a side is greater than another another, the side it is opposite will also be longer than the side opposite the other angle (Aa → Ss).
From the image given, statement 1 was given as well as statement 2.
Statement 1 would be: LC ≅ CU; CU ≅ UK.
The reason for statement 2 will also be "given".
Then, UL > CK using the unequal angle theorem (Aa → Ss).
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Select the correct answer from each drop-down menu.
Consider the function f(x) = 3x4 − 5x2.
This function is
1. even
2. odd
3. neither even or odd
because
1. f(x)-f(x)
2. f(x)=f(x)
3. -f(x)=f(-x)
Answers
Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).
How we verify if the function is even, odd, or neither?If for all values of x, f(x) = f(-x), the function is even.If for all values of x, f(-x) = -f(x), the function is odd.If neither of these statements are true, the function is neither even nor odd.Graphing the function [tex]f(x) = 3x^4 - 5x^2[/tex], for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.
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DL is a perpendicular bisector of chord GA. Identify the diameter.
Answers
Evaluate (cant write it out, picture included)
Answers
Let's solve this problem step-by-step:
⇒ with our knowledge of PEMDAS
⇒ (look at the image attached)
Let's solve:
Let's first plug n's value[tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]
Let's first do the division[tex]\frac{9}{-3}+4=-3+4[/tex]
Now let's add[tex]-3+4=1[/tex]
Answer: 1
Hope that helps!
Giving 40 points!!! please help
Select the correct answer.
What are the solutions of this quadratic equation?
x²+4=8x+5
A.
x = 8 + √34
B.
* = 8 + 2√17
C.
x=4 ± √7
D. x=4 ± √17
Answers
Answer:
[tex]\textsf{D.} \quad x=4 \pm \sqrt{17}[/tex]
Step-by-step explanation:
Rearrange the equation so it equals zero:
[tex]\begin{aligned} x^2+4 & =8x+5 \\ \implies x^2+4-8x-5 & = 0\\x^2-8x-1&=0\end{aligned}[/tex]
Now use the quadratic formula to solve for x:
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]a=1, \quad b=-8, \quad c=-1[/tex]
[tex]\implies x=\dfrac{-(-8) \pm \sqrt{(-8)^2-4(1)(-1)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{8 \pm \sqrt{68}}{2}[/tex]
[tex]\implies x=\dfrac{8 \pm \sqrt{4\cdot 17}}{2}[/tex]
[tex]\implies x=\dfrac{8 \pm \sqrt{4}\sqrt{17}}{2}[/tex]
[tex]\implies x=\dfrac{8 \pm 2\sqrt{17}}{2}[/tex]
[tex]\implies x=4 \pm \sqrt{17}[/tex]
A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
Answers
(50, 22.5) is the solution of the system of equations, therefore, the true statement would be: Both plans cost the same when 50 texts are sent.
What is the Solution of a System of Linear Equations?A solution to the system of linear equations is the point of intersection where both line of each equation meet.
The solution to the system of linear equations given in the graph attached below is (50, 22.5).
(50, 22.5) implies that both plans will cost the total amount when 50 text are sent.
The true statement using the graph would be: Both plans cost the same when 50 texts are sent.
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Answer:
Both plans cost the same when 22 texts are sent
Step-by-step explanation:
on edge
Grace buys a set of 14 notebooks. Each notebook has 85 pages. What is the total number of pages for all the notebooks?
Answers
Answer: 1190 pages
Step-by-step explanation:
The word problem states that Grace has a set of 14 notebooks, and each notebook has 85 pages. To find the total number of pages, we want to multiply the number of pages in each book by how many books there are.
14×85=1190 pages
Which equations graph as circles?
x² + x + y² = 4
2x + x + y² = 8
x² + y² = 5
x² + x + y = 6
x² + y² + y = 1
Answers
Answer:
A, C, and D
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
A square notepad has sides that are 10 centimeters long. What is the notepad's area?
Answers
Answer:
100cm²
Step-by-step explanation:
The notepad is square.
The area of a square = length X width.
All the sides of a square are the same length.
Therefore, the area of the notepad = 10 X 10 which equals 100.
Don't forget the units!
The units for area is cm².
The units for volume is cm³.
This is area so your answer is 100cm².
Hope this helped, have a nice day!
Which table represents a linear function?
X
X
y
1
1
1
2
2
1
2
3
4
34
O
122
1/7/2
O
y
1
121314
X
1
2
3
4
X
1
2
3
14
O
y
7
9
13
21
y
0
6
16
30
Answers
the third one
Step-by-step explanation:
A circular grass lawn has an area of 314 square metres.
12.
Find the circumference of the lawn.
Answers
Answer:
[tex]C= 62.8m[/tex]
Step-by-step explanation:
Let's round [tex]\pi = 3.14[/tex]. Area of a circle if [tex]\pi r^2[/tex]. In our case, we can easily find out the radius[tex]\pi r^2 = 100\pi \rightarrow r=10m^[/tex]. At this point, it's easy to find the length of the circumference by doubling it and multiplying again by [tex]\pi[/tex]:
[tex]C= 2\pi r = 62.8 m[/tex]
Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P(Take the bus | Junior) = [?]
Round to the nearest hundredth.
Answers
Using it's concept, it is found that the desired probability is given by:
P(Take the bus | Junior) = 0.5714 = 57.14%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of the 13 + 20 + 2 = 35 Junior students, 20 take the bus, hence the probability is given by:
P(Take the bus | Junior) = 20/35 = 0.5714 = 57.14%.
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4 out of every 7 students in a school eat a packed lunch. The rest eat a school meal.
Which of the following statements is correct?
47% of students eat a school meal
The ratio of school meal to packed lunch is 7 : 4
The ratio of packed lunch to school meal is 4 : 3
56% of students eat a packed lunch
Answers
So the ratio is 4:3
Convert 650 ml into litres
Answers
Answer:
.65 litres
Step-by-step explanation:
Graph the line with the equation y=-x-6
Answers
Answer:
in the picture
Step-by-step explanation:
You need 2 points to graph a line.
▪︎ if x = 0, y = 0 - 6 => y = -6
1st point: (0, -6)
▪︎if y = 0, 0 = -x - 6 => x = -6
2nd point: (-6, 0)
A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water.
1. Solve for the y-variable.
y – 12 = –3(x – 1)
y – 12 = –3x + 3
y = –3x +15
2. Write the equation using function notation.
f(x) = –3x +15
The tub started with
gallons of water.
Answers
The initial amount of the water is 15 gallons
Linear functionsThese are functions that has a leading degree of 1. Given the equation that represents the amount of water remaining after x minutes;
y - 12 = -3(x- 1)
y -12 = -3x + 3
y = -3x +3 + 12
y = -3x + 15
In order to determine the initial amount of water, we will substitute x =0 into the function
y = -3(0) + 15
y = 15
Hence the initial amount of the water is 15 gallons
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Answer:
15
Step-by-step explanation:
please answer, much appreciated!!!!!
Answers
Answer:
i don't understand your question
Step-by-step explanation:
A rectangle is divided into 4 equal rows with 4 squares in each row. mark says 1 square is 1/4 of the whole rectangle. kareem says 1 row of the whole rectangle.
Answers
Kareem is correct
4 rows = each row is 1/4 of the rectangle