Answer:
If necessary, first "unwind" the angle: Keep subtracting 360 from it until it is lies between 0 and 360°. (For negative angles add 360 instead).
Sketch the angle to see which quadrant it is in.
Depending on the quadrant, find the reference angle:
what is 5/8 doubled as a fraction
Answer:
5/4
Step-by-step explanation:
doubled is basically multiplied by 2
so 5/8 *2
this would equal 5/8 *2/1
so we multiply the tops together and the bottoms together
so that would mean
10/8
we can divide both the top and bottom by 2 to simplify
this would be
5/4
This can be rewritten as
1 1/4 too.
The fraction 5/8 when doubled gives the fraction 5/4.
Given a fraction 5/8.
We have to find the fraction formed by doubling the fraction 5/8.
Doubling means multiplying by 2.
That is, some number is doubles or make it two times.
Here given fraction is 5/8.
Doubling this frcation, we get,
2 multiplied by 5/8
= 2 × 5/8
2 and 8 in the denominator gets cancelled and we get,
2 × 5/8 = 5/4
Hence the required fraction value is 5/4.
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6 cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. Does this represent a proportional relationship
yes, because 46.2/6 = 7.7 ounces and 107.8/14 = 7.7 ounces
20 POINTS WILL MARK BRAINLIEST
Every morning, siblings Jack and Jill roll a regular six-sided die to determine who will get to ride in the front seat on the way to school. If the number is even, Jack gets to ride in the front. If the number is odd, Jill gets to ride in the front.
A. In the first 20 school days, how many times would you expect Jack to get to ride in the front seat?
B. In the first 100 school days, how many times would you expect Jill to get to ride in the front seat?
C. Which prediction (Jack or Jill's) do you think will be closer to the actual frequency? Use complete sentences to justify your answer.
Answer:
Step-by-step explanation:
A. It says he will get to sit in the front if the number is even
There are 6 sides, three of which are even numbers (2,4,6). So the probability of rolling an even number is 3/6 = 1/2.
Let's make p = 1/2
Jack will get his way half of the time, so we expect him to get the front seat half of the time
If we're talking about 20 days, then n = 20 and
n*p = 20*(1/2) = 20/2 = 10
meaning that Jack would, on average, get the front seat 10 times out of the 20 total.
B. Similar to A
n=100
The probability is still the same because rolling an odd number (1,3,5) is still going to happen 3/6 = 1/2 of the time.
so: n*p means 100 days*1/2 which is 100/2=50 days
Jill get to sit in the front 50 out of the 100 days.
C. For better accuracy, we can at least increase the number of trials so we have more data in able for better accuracy.
As Jill did 100 hundred, we think that she will get closer to the actual frequency. As larger the number of trials, the closer we'll get to the expected probability.
Answer:
A. Jack to get to ride in the front seat 10 times
B. In the first 100 school days, Jill will get to ride in the front seat 50 times.
C. As Jill did 100, I think that she will get closer to the actual frequency. As larger the number of trials, the closer we'll get to the expected probability.
Step-by-step explanation:
Which of these expressions can be used to calculate the monthly payment for
a 30-year loan for $195,000 at 6.6% interest, compounded monthly?
Answer:
$195P00*0.0055(1+0.0055)^360
____________________________
(1+0.0055)^360-1
Find the solution of the system of equations.
-3x-2y=36
3x-5y=6
The solution to the system of equations -3x-2y=36 and 3x-5y=6 is x = -8 and y = -6. This was achieved by adding the equations together to eliminate x, then solving for y, and substituting y into the first equation to solve for x.
Explanation:To find a solution to the system of equations, you can use the method of addition (also known as elimination). In this case, these equations are designed in a way that allows you to simply add them together. Having the equations: -3x-2y=36 and 3x-5y=6, if you add these two equations together, the x variable will cancel out, leading to: -2y - 5y = 36 + 6, simplifying this yields -7y = 42. Finally, to solve for y, you divide both sides by -7, yielding y = -6. Now that we have the value for y, we can substitute it into the first equation to solve for x: -3x - 2(-6) = 36 --> -3x + 12 = 36 --> -3x = 24. Dividing both sides by -3, we get
x = -8. Therefore, the solution to the system of equations is x = -8 and y = -6.
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Write a similarity statement relating the three triangles in the diagram
Answer:
b. ∆DEF ~ ∆HDF ~ ∆HED
Step-by-step explanation:
When you name similar triangles, the order of the letters of corresponding angles must be in matching order.
For example, in ∆DEF, ∠D is the right angle, ∠E is the larger acute angle, and ∠F is the smallest angle.
The corresponding parts in ∆HDF are ∠H, ∠D, and ∠F.
In ∆HED, they are ∠H, ∠E, and ∠D.
The similarity statement is
∆DEF ~ ∆HDF ~ ∆HED
The similarity statement relating to the given triangles in the diagram is: B. ∆DEF ~ ∆HDF ~ ∆HED
What is the Right Triangle Similarity Theorem?The right triangle similarity theorem states that when an altitude of a right triangle will divide the triangle to form two similar triangles, which are also similar to the original triangles.The three triangles are similar to each other.When writing similarity statement, the letters of the corresponding angles of the triangles should follow the same order of naming that matches together.Therefore, the similarity statement relating to the given triangles in the diagram is: B. ∆DEF ~ ∆HDF ~ ∆HED
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Is (-5,-5) a solution of y>- 2x + 4?
Answer:
No, (-5, -5) is not a solution
Step-by-step explanation:
Step 1: Plug in -5 for y and -5 for x
y > -2x + 4
-5 > -2(-5) + 4
-5 > 10 + 4
-5 > 14
Answer: No, (-5, -5) is not a solution
Roshanda bought pound of ham and pound of roast
beef. How much more roast beef than ham did she buy?
Write in simplest form
Final answer:
Roshanda bought the same amount of roast beef as ham, 0 pounds.
Explanation:
To find out how much more roast beef Roshanda bought compared to ham, we need to subtract the weight of the ham from the weight of the roast beef. Roshanda bought 1 pound of ham and 1 pound of roast beef, so the difference is 1 pound minus 1 pound, which equals 0 pounds. Therefore, Roshanda did not buy more roast beef than ham, they bought the same amount.
Roshanda bought 1/4 pound more roast beef than ham.
To find out how much more roast beef Roshanda bought compared to ham, we need to subtract the amount of ham from the amount of roast beef.
Given:
Ham = 5/8 pound
Roast beef = 7/8 pound
To find the difference:
Roast beef - Ham
= (7/8) - (5/8)
To subtract fractions, we need a common denominator, which is 8 in this case.
= (7/8) - (5/8)
= (7 - 5)/8
= 2/8
Now, simplify the fraction:
2/8 = 1/4
So, Roshanda bought 1/4 pound more roast beef than ham.
Question
Roshanda bought 5/8 pound of ham and 7/8 pol 11 d of roast beef. How much more roast beef than ham did she buy? Write in simplest form.
x/10 =13/7 rounded to the nearest tenth
Answer:
x≈18.6
Step-by-step explanation:
Lets make the fractions have common denominators:
7x/70=130/70
Multiply by 70
7x=130
Divide by 7
x=18.5714285714
Round
x≈18.6
1 2/5 hours in minutes
Answer:
84 minutes
HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
An hour is 60 minutes
60 x 2/5 = 24
24 minutes plus an hour (60 minutes)
= 84
Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.
The value of y is 3 when x is 6.
Solution:
The given table is the amount of cheese in ounces and the cost price.
Let x represents the amount of cheese and y represents the cost price.
The formula which derived from the table is y = x ÷ 2.
That is [tex]$y=\frac{x}{2}[/tex].
To find the value of y when x is 6:
[tex]$y=\frac{x}{2}[/tex]
Substitute x = 6 in the formula, we get
[tex]$y=\frac{6}{2}[/tex]
y = 3
Hence the value of y is 3 when x is 6.
Expressions that are
equivalent to 4(4r +2)
Answer:
16r+8
Step-by-step explanation:
You multiply 4r×4= 16r
Then 4×2=8
That's how you get the answer 16r+8
The elevation of the surface of the Dead Sea is -424.3 meters. In 2005, the height of Mt. Everest was measured as 8,844.43 meters. How much higher was Mt. Everest?
Answer:
8,420.43 meters higher im pretty sure
Step-by-step explanation:
If you do 8,844.43-424.3, you get 8,420.83
Answer:
9,268.73 meters higher
Step-by-step explanation:
Add the elevation of Mt.Everest to the absolute value of the elevation of the Dead Sea. That equation looks like: 8,844.43 + |-424.3| = 9,268.73
Mt.Everest was 9,268.73 meters higher than the Dead Sea in 2005.
please help, will mark brainiest. 20+ POINTS
Answer:
2.5•2 = 5
Step-by-step explanation:
The resulting two-dimensional cross-section is the area of a square.
Area of a square is equal to:
[tex]A=bh[/tex]
Having
[tex]b = 2.5\ in\\h = 2\ in[/tex]
substitute
[tex]A=2.5*2=5\ in^{2}[/tex]
This is really simple, but I’m really lazy soooo.
Answer:
0=1
1=4
2=7
Step-by-step explanation: Just substitute the 'x' in y=3x+1 with the number in the table (i.e 0, y=3*0+1= 1) and so forth
The table in the image is a table for the equation y = 3x + 1. It shows the values of y for different values of x.
Here is the table in text format:
x y
0 1
1 4
2 7
We can check that the values in the table are correct by substituting the values of x into the equation y = 3x + 1.
For example, if we substitute x = 0, we get y = 3(0) + 1 = 1, which is the value in the table.
The table can be used to graph the equation y = 3x + 1.
To do this, we plot the points (x, y) in the table on a coordinate plane.
The points will form a straight line.
Here is a graph of the equation y = 3x + 1:
graph of y = 3x + 1
graph of y = 3x + 1
The y-intercept of the graph is 1.
This means that the line passes through the point (0, 1).
The slope of the graph is 3.
This means that for every 1 unit that x increases, y increases by 3 units.
The graph can be used to solve for y for any given value of x.
For example, if we want to solve for y when x = 3, we can find the point on the graph where x = 3 and read off the corresponding value of y.
The point is (3, 10), so y = 10 when x = 3.
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A circle with circumference 6 has an arc with a 60° central angle.
What is the length of the arc?
Answer:
length of an arc = 1unit
Step-by-step explanation:
given that the circumference of a circle = 6
central angle = 60
length of the arc =?
recall that the circumference of a circle = 2πr
6 = 2πr
r = 6/2π
now to calculate the length of an arc
recall,
length of an arc = 2πr(Ф/360)
length of an arc = 2π(6/2π) × 60/360
length of an arc = 6 × 60/360
length of an arc = 360/360
length of an arc = 1unit
therefore the length of the arc whose circumference is 6 and arc angle is 60° is evaluated to be 1unit
Identify the value(s) that are not restrictions on the variable for the rational expression
2y^2 + 2/
Y^3– 5y^2+ y - 5
-1
0
-5
1
5
To find the values that are not restrictions on the variable in a rational expression, we need to evaluate the expression for the given values. By substituting the values -1, 0, -5, 1, and 5 into the expression, we can determine if they result in a zero denominator or not. The values 0 and 5 are not restrictions on the variable.
Explanation:The rational expression is given by [tex](2y^2 + 2) / (y^3- 5y^2+ y - 5)[/tex]. To identify the values that are not restrictions on the variable, we need to determine which values of y make the denominator equal to zero. To find these values, we can set the denominator [tex](y^3-5y^2+ y - 5)[/tex] equal to zero and solve for y using synthetic division or factoring. By substituting the given values of -1, 0, -5, 1, and 5 into the expression, we can determine whether they result in a zero denominator or not. If the denominator is not zero for a particular value of y, then that value is not a restriction on the variable.
Let's check:
For [tex]y = -1: (2(-1)^2 + 2) / (-1^3 - 5(-1)^2 + (-1) - 5) = (-2 + 2) / (-1 + 5 - 1 - 5) = 0 / -2 = 0[/tex]
For [tex]y = 0: (2(0)^2 + 2) / (0^3 - 5(0)^2 + (0) - 5) = (2 + 2) / (0 - 0 + 0 - 5) = 4 / -5 ≠ 0[/tex]
For [tex]y = -5: (2(-5)^2 + 2) / (-5^3 - 5(-5)^2 + (-5) - 5) = (2(25) + 2) / (-125 + 125 - 5 - 5) = (50 + 2) / -10 \ne 0[/tex]
[tex]For y = 1: (2(1)^2 + 2) / (1^3 - 5(1)^2 + (1) - 5) = (2 + 2) / (1 - 5 + 1 - 5) = 4 / -8 = -0.5 \ne 0 For y = 5: (2(5)^2 + 2) / (5^3 - 5(5)^2 + (5) - 5) = (2(25) + 2) / (125 - 125 + 5 - 5) = (50 + 2) / 0 \ne 0[/tex]
From the calculations, we can determine that the values 0 and 5 are not restrictions on the variable because they do not result in a zero denominator. Therefore, the correct answer is 0 and 5.
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Answer:
-1,0,-5,1
Step-by-step explanation:
explain why zero is considered its own opposite.
Determine the range and domain for f(x)=72-12x
Answer:
The domain is 6, and the range is 72.
systems of equation
Answer:?
Step-by-step explanation:
expanded form for 208,000,478
Answer:
200,000,000
+ 0
+ 8,000,000
+ 0
+ 0
+ 0
+ 400
+ 70
+ 8
Step-by-step explanation:
Answer:
200,000,000
8,000,000
400
70
8
Add up those values straight down to end up with 208,000,478
You can also write the number as
2*10^8 + 8*10^6 + 4*10^2 + 7*10^1 + 8*10^0
The figure show a cuboid ABCDEFGH, BC is8 cm and EH is 3 cm. Find the angle ACF, correct to 3 significant figures
Answer:
19.3 degrees
Step-by-step explanation:
The diagonal AC of the rectangle can be found using the Pythagorean Theorem.
8^2 + 3^2 = 73
The square root of 73 = 8.544...
Using this length and the length of FA (which is 3 cm), we can use the inverse of tangent to find the angle.
tangent of the angle = 3 cm/8.544 cm
inverse tangent of (3/8.544) = 19.347...
Hope this helps!
Find BC
AC = 7
BD = 7.5
DE = 1.5
AE = 11
5
CE=AE-AC=4
CD=CE-DE=4-1.5=2.5
BC=BD-CD=7.5-2.5=5
Find the area of the circle (radius = 6)
Answer:
A =36 pi
or approximately
A =113.04
Step-by-step explanation:
To find the area of a circle, we use the formula
A = pi r^2, where r is the radius
A = pi (6)^2
A = 36 pi
We can approximate pi as 3.14
A = 36 (3.14)
A is approximately 113.04
Answer: 113.1 unit^2
Step-by-step explanation:
A=πr^2
=π(6)^2
=113.0973355 unit^2
Leeza is making labels in the shape of parallelograms Each label has an area of 18 square centimeters and a base of 6 centimeters. What is the height of each label
I think it's 3
It should be 3 because if you have a base of 6 then your height must be 3 to get 18.
An opaque bag contains 3 green marbles, 3 red marbles. If two consecutive marbles are drawn without replacement what is the probability that they will both be green?
Final answer:
The probability of drawing two green marbles consecutively without replacement from a bag containing 3 green and 3 red marbles is 1/5 or 20%.
Explanation:
The probability that both marbles drawn consecutively from an opaque bag without replacement will be green is calculated by multiplying the probability of the first event by the probability of the second event. Here, we have 3 green marbles out of a total of 6 marbles. So, the probability of drawing the first green marble is 3/6 or 1/2. After drawing one green marble, there are now 2 green marbles left out of 5 total marbles. Therefore, the probability of drawing a second green marble is now 2/5. To find the combined probability, we multiply these two probabilities together: (1/2) × (2/5) which equals 1/5 or 0.2. Hence, there is a 20% chance that both marbles drawn will be green.
Which of the following equations is equivalent to x - y = 5?
x - 2y = 30
4x - 3y = 30
3x - 4y = 30
Answer:
[tex]6x-6y=30[/tex]
Step-by-step explanation:
The complete options are
a) x - 2y = 30
b) 4x - 3y = 30
c) 3x - 4y = 30
d) 6x - 6y = 30
The given equation is
[tex]x-y=5[/tex]
Verify option d
we have
[tex]6x-6y=30[/tex]
Divide by 6 both sides
[tex](6x-6y)/6=30/6[/tex]
[tex]\frac{6x}{6}-\frac{6y}{6}=\frac{30}{6}[/tex]
[tex]x-y=5[/tex]
therefore
[tex]x-y=5[/tex] and [tex]6x-6y=30[/tex] are equivalent
Answer:
3x -4y = 30
Step-by-step explanation:
question 1: find the volume of a cube whose total surface area is 486cm^2
Solution:
The surface area of cube is given as:
[tex]Surface\ area = 6a^2[/tex]
Where, "a" is the length of side of cube
Given that, surface area = 486 square centimeter
[tex]486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9[/tex]
Find the volume of cube:
[tex]volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729[/tex]
Thus volume of cube is 729 cubic centimeter
Samantha Vega's gross weekly salary is $600. Her weekly federal withholding is $35.00. The Social Security
tax is 6.2% of the first $97,500. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay.
Each week she pays $12.40 for medical insurance. What are Samantha's total deductions?
Answer:
$102.30
Step-by-step explanation:
Answer:
2600
The gross pay $2,600 if $572 is the tax amount.
Step-by-step explanation:
3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi, and make certain to show your work. Hint: you may need to find the volume of the component shapes.
The volume of the prop is calculated to be 2,712.96 cubic inches.
Step-by-step explanation:
Step 1:
The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying [tex]\frac{1}{3}[/tex] with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.
The volume of the cone : [tex]V=\pi r^{2} \frac{h}{3}[/tex] = [tex]3.14 \times 9^{2} \times \frac{14}{3}[/tex] = 1,186.92 cubic inches.
Step 3:
The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying [tex]\frac{4}{3}[/tex] with π and the cube of the radius (r³).
Here the radius is 9 inches. We take π as 3.14.
The volume of a full sphere = [tex]V=\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3} \times 3.14 \times 9^{3}[/tex] = 3,052.08 cubic inches.
The volume of the half-sphere = [tex]\frac{3,052.08}{2}[/tex] = 1,526.04 cubic inches.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.