Answer:
Need a calculator
Step-by-step explanation:
This will be hard to explain without the ability to draw an example.
The one thing you can memorize is SOH - CAH - TOA
This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).
When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.
So a right triangle has two legs (sides) and the hypotenuse. If you use the first angle ( 30 degrees) you can use the formulas above to calculate the side length.
Pick either the SOH or the CAH. Let's use SOH and write out the equation:
SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)
You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm. You end up with SIN(30 degrees) X 11m = Opposite Side.
So the side directly across from the 30 degree angle should be 5.5mm
You can do the exact same thing with the 60 degree angle.
SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm) OR
SIN(60 degrees) X 11mm = Opposite Side
This comes out to about 9.5mm
You can check the math by using the other equation CAH
Start with the 30 degree angle and solve for the adjacent side. This is the side that is touching the 30 degree angle. Equation will be
COS(30 degrees) X 11mm = Adjacent Side or about 9.5mm
The other equation will give you the side that is touching the 60 degree angle.
COS(60 degrees) X 11mm = Adjacent Side or 5.5mm
You can also use one last thing to check your math. The Pathagorean Theorem says in a right triangle [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.
[tex]5.5^{2}[/tex] + [tex]9.5^{2}[/tex] should equal [tex]11^{2}[/tex]. Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).
The wavelength of violet light is 4.0 x 10^−7 m. The wavelength of red light is 6.5 x 10^−7 m. How much longer is the wavelength of red than violet?
A 2.5 × 10^–7 m
B 1.05 × 10^–7 m
C 2.5 × 10^–6 m
D 1.05 × 10^–6 m
Answer:
A 2.5 × 10^–7 m
Step-by-step explanation:
Given
wavelength of violet light = 4.0 x 10^−7 m.
The wavelength of red light = 6.5 x 10^−7 m
To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light
Difference in wavelength of red light and violet light =
wavelength of red light -wavelength of violet light
= 6.5 x 10^−7 m - 4.0 x 10^−7 m
Difference in wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m
Difference in wavelength of red light and violet light =2.5 x 10^−7 m
Thus,
wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light
option A
SAT Scores SAT Scores Group 1 Group 2 1520 1510 SAT Scores Group 3 SAT Scores Group 4 1620 1480 1630 1480 1700 1570 1480 2100 1520 1400 1580 1800 1510 1800 1400 1300 1530 1930 1300 1250 1430 2150 1700 1400 2000 1340 1610 1430 1800 1580 1580 1390 1410 1530 1520 1520 1390 1610 The SAT scores of 4 groups of 10 students are shown. Which group has the greatest range? A) Group 1 B) Group 2 Group 3 D) Group 4
Answer:
Group 4
Step-by-step explanation:
Group 4 is the only group that has any numbers. And Group 2 the range is not big at all.
Was this the question or did you make a mistake with the numbers?
urgent! please help!
Answer: (0,3)
Step-by-step explanation: The y-intercept is where x is 0.
By 2016 the money spent on internet advertising in the country was projected to exceed the amount spent on tv advertising if it is estimated that 0.6 million dollars more will be spent on internet advertising and 2016 and the total amount spent on internet and tv advertising is expanded to be 150 billion dollars find the amount of money for projected to be spent on each medium
Answer:
$150 billion in total will be spent on both Internet Advertising and TV Advertising.
$0.6 million more will be spent on Internet Advertising than TV.
Let TV Advertising expenses be x.
Expression will be;
x + (x + 600,000) = 150,000,000,000
2x = 150,000,000,000 - 600,000
x = (150,000,000,000 - 600,000) / 2
TV Advertising = $74,999,700,000
Internet Advertising
= TV Advertising + 0.6 million
= 74,999,700,000 + 600,000
= $75,000,300,000
100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) Which of the following functions model the data given in the table below?
х
2
3
4
5
6 y
-5
-7
-9
-11
-13
Answer:
I thinkkk its Option 2
Step-by-step explanation:
Answer:
Option 2
Step-by-step explanation:
The line is linear and the y-intercept hits at -1 so option 2 is correct.
2/3y + x =4 Solve for y
Answer:
y = -3x + 12/2
Step-by-step explanation:
Step 1: Add -x to both sides
x + 2/3 + -x = 4 + -x
2/3y = -x + 4
Step 2: Divide both sides by 2/3
2/3y ÷ 2/3 = -x + 4 ÷ 2/3
y = -3x + 12/2
Find the area of the shaded region
Answer:
35
Step-by-step explanation:
Here, the shaded region is equal to the non-shaded triangle. To know why this is, look at the formula for a triangle: A = b*h/2. But if we look further, we also know that the area of a rectangle is A = b*h. So the area of a rectangle is twice that of a triangle. And this is always true as long as the dimensions are the same. So here, the shaded region is just (14*5)/2 which is 35. We can also find this out by calculated the area of a rectangle and minus the area of the rectangle.
FIRST TO ANSWER GETS BRAINLIEST!
What is the value of x when solving the equation -2x+(-8)=2x+8 using algebra tiles?
x=-4 x=-2 x=2 x=4
Answer:
-4
Step-by-step explanation:
Find the surface area of the cone in items of 17 and 3
Answer:
Area = 1829.87
Step-by-step explanation:
Ethan makes $72,000 per year as a fashion designer. If he gets paid monthly, how much does he make per paycheck?
Answer:
6000 a month
Step-by-step explanation:
Im building my first gaming pc, and part suggestions/tips?
Answer:
-Do not touch the contacts or interconnects or pads on ( RAM/DIMM's, GPU / Graphic's Card's, CPU / Processor )
-Not being concerned or cautious about ESD
-Do not over torque / over tighten screws.
-Not giving yourself enough room to build
-Not using a magnetic tray when building
Answer:
Parts
GEFORCE RTX 2060 SUPER this is a good graphics card for 399
intel core i5 is a pretty good budget processer
I recomend a nzxt case they are pretty good
these are only some parts but these are pretty good budget
Order the fractions 1 / 6, 2 / 5, 3 / 5, 3 / 7 from least to greatest,
Answer:
1/6, 2/5, 3/7, 3/5
HELP ASAP marking brainliest if you can also explain
⚠️⚠️^^^⚠️⚠️
Question is in the image
Finding slope:
Take two pairs of cordinate points from the table and use the formula y2-y1 divided by x2-x1
I choose (4,3) and (2,2)
2-3 divided by 2-4
= -1/2
Then to get the y intercept you use the formula: y=mx+b
For the x and y pick a cordinate to plug in. For m plug in your slope.
I pick (6,4)
4=-1/2×6+b
Multiply -1/2 and 6 to get -3 and plug that in
4=-3+b
Now add 3 to the -3 canceling that out to 0 and add three to the 4 making that 7
7=b
Y-intercept =7
Now plug in the slope and y-intercept into the slope intercept format and get:
Y=-1/2x+7
Determine whether each linear expression is a factor of the polynomial.
X^4+x^3-17x^2+15x
A. X+3
B. X+5
C. X-1
darla has 3 times as many penciled as lucy. darla had 27 how many pencils does lucy have .
Answer:
9
Step-by-step explanation:
just do 27 divided by 3
Answer:
9
Step-by-step explanation:
9 × 3 = 27 or 27 ÷ 3 = 9
What is the percent of the discount for a $60 item that sells for $45?
Answer:
75%
Step-by-step explanation:
45/60 x X/100
45x100
4500/60
75%
Michael earns $8 an hour to baby sit the Jackson family. How many hours does he have to 1 point
baby sit to earn $56?
Answer:
7 hours
Step-by-step explanation:
56/8=7
PLease help with this question? I also need an explanation on how you got the answer
Answer:
25%
Step-by-step explanation:
1. there are 8 triangles
2. 2 twos
3. 2/8
4. 2/8=25%
You buy 4.5 pounds of bananas at $0.49 a pound. You hand the cashier a $20 bill. How much change will you get back
Answer:
You get 17.80 cents back
Step-by-step explanation:
4.5 times 0.49 is 2.20 cents
20 minus 2.20 is 17.80 dollars
You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups?
Answer:
=36
Step-by-step explanation:
Step-by-step explanation:
for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....
so we have to multiply 3×3×4
=36
so if we divide 36 by 3 ,4 OR 9
we will not find any remainder
I WILL GIVE BRAINLIEST
Answer:
No
Step-by-step explanation:
There is an x value that has two y values. If you were to graph this function, it would not pass the vertical line test.
A field goal kicker lines up to kick a 44 yard (40m) field goal. He kicks it with an initial velocity of 22m/s at an angle of 55∘. The field goal posts are 3 meters high.Does he make the field goal?What is the ball's velocity and direction of motion just as it reaches the field goal post
Answer:
The ball makes the field goal.
The magnitude of the velocity of the ball is approximately 18.166 meters per second.
The direction of motion is -45.999º or 314.001º.
Step-by-step explanation:
According to the statement of the problem, we notice that ball experiments a parabolic motion, which is a combination of horizontal motion at constant velocity and vertical uniform accelerated motion, whose equations of motion are described below:
[tex]x = x_{o}+v_{o}\cdot t\cdot \cos \theta[/tex] (Eq. 1)
[tex]y = y_{o} + v_{o}\cdot t \cdot \sin \theta +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (Eq. 2)
Where:
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Coordinates of the initial position of the ball, measured in meters.
[tex]x[/tex], [tex]y[/tex] - Coordinates of the final position of the ball, measured in meters.
[tex]\theta[/tex] - Angle of elevation, measured in sexagesimal degrees.
[tex]v_{o}[/tex] - Initial speed of the ball, measured in meters per square second.
[tex]t[/tex] - Time, measured in seconds.
If we know that [tex]x_{o} = 0\,m[/tex], [tex]y_{o} = 0\,m[/tex], [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]x = 40\,m[/tex], the following system of equations is constructed:
[tex]40 = 12.618\cdot t[/tex] (Eq. 1b)
[tex]y = 18.021\cdot t -4.904\cdot t^{2}[/tex] (Eq. 2b)
From (Eq. 1b):
[tex]t = 3.170\,s[/tex]
And from (Eq. 2b):
[tex]y = 7.847\,m[/tex]
Therefore, the ball makes the field goal.
In addition, we can calculate the components of the velocity of the ball when it reaches the field goal post by means of these kinematic equations:
[tex]v_{x} = v_{o}\cdot \cos \theta[/tex] (Eq. 3)
[tex]v_{y} = v_{o}\cdot \cos \theta + g\cdot t[/tex] (Eq. 4)
Where:
[tex]v_{x}[/tex] - Final horizontal velocity, measured in meters per second.
[tex]v_{y}[/tex] - Final vertical velocity, measured in meters per second.
If we know that [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]t = 3.170\,s[/tex], then the values of the velocity components are:
[tex]v_{x} = \left(22\,\frac{m}{s} \right)\cdot \cos 55^{\circ}[/tex]
[tex]v_{x} = 12.619\,\frac{m}{s}[/tex]
[tex]v_{y} = \left(22\,\frac{m}{s} \right)\cdot \sin 55^{\circ} +\left(-9.807\,\frac{m}{s^{2}} \right)\cdot (3.170\,s)[/tex]
[tex]v_{y} = -13.067\,\frac{m}{s}[/tex]
The magnitude of the final velocity of the ball is determined by Pythagorean Theorem:
[tex]v =\sqrt{v_{x}^{2}+v_{y}^{2}}[/tex] (Eq. 5)
Where [tex]v[/tex] is the magnitude of the final velocity of the ball.
If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], then:
[tex]v = \sqrt{\left(12.619\,\frac{m}{s} \right)^{2}+\left(-13.067\,\frac{m}{s}\right)^{2} }[/tex]
[tex]v \approx 18.166\,\frac{m}{s}[/tex]
The magnitude of the velocity of the ball is approximately 18.166 meters per second.
The direction of the final velocity is given by this trigonometrical relation:
[tex]\theta = \tan^{-1}\left(\frac{v_{y}}{v_{x}} \right)[/tex] (Eq. 6)
Where [tex]\theta[/tex] is the angle of the final velocity, measured in sexagesimal degrees.
If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], the direction of the ball is:
[tex]\theta = \tan^{-1}\left(\frac{-13.067\,\frac{m}{s} }{12.619\,\frac{m}{s} } \right)[/tex]
[tex]\theta = -45.999^{\circ} = 314.001^{\circ}[/tex]
The direction of motion is -45.999º or 314.001º.
A ride owner in a fair, charges $21 for entry of 4 people. What is the rate of earnings in dollars per person?
Answer:
$7 per person.
Step-by-step explanation:
21/4 $5.25
Answer:
$5.25
Step-by-step explanation:
4 people = $21
1 person = $21/4 = $5.25
A jeweler has 160.5 centimeters of gold chain. He will use half of the chain to make a necklace. He will make 5 bracelets with the remaining chain. If each bracelet is the same length, what will be the length of each bracelet in centimeters?
9514 1404 393
Answer:
16.05 cm
Step-by-step explanation:
Each bracelet will be 1/5 of 1/2 of the chain, so is
(1/5)(1/2) = 1/10
of the original length of the chain.
1/10 × 160.5 cm = 16.05 cm . . . length of each bracelet
Is 0.875 a irrational number
Answer:
no
Step-by-step explanation:
it is rational because it is a terminating decimal
No 0.875 , it is rational It can be expressed as the quotient of two integers.
Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios made up of integers.
rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.
No, 0.875 a irrational number.
Learn more about irrational number here;
https://brainly.com/question/28973373
#SPJ6
The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per \frac{1}{4} 4 1 cup of sugar. What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar?
Answer:
8988890
Step-by-step explanation:
oijhjkhk
Can somebody plz answer both correct and just write which one I circle thanks!! (Only if u remember)
(WILL MARK BRAINLIEST) :D
Answer:
7. +6
8. -2
9. +1
10. +2
11. -4
12. +4
13. -3
14. -2
15. +1
16. -5
17. -5
18. 0
Step-by-step explanation:
If NASA scientists use positive and negative numbers to represent the time surrounding a rocket launch, what would zero mean?
one hour before take-off
two minutes before take-off
the moment of take-off
two minutes after take-off
Answer:
the moment of take-off
Step-by-step explanation:
it is in-between before and after take off
I believe that the answer to this the moment before take off.
Hope this helped and have a wonderful day!
Change mixed numbers into improper fraction. 8 3/6, 4 3/8, 2 2/4, 9 4/5, 7 2/3
Answer: 8 3/6= 17/2
4 3/8=35/8
2 2/4=5/2
9 4/5 =49/5
7 2/3= 23/3
Step-by-step explanation:
To convert a mixed number to a improper fraction you multiply the whole number part by the fractions denominator then you add that number to the numerator then you write the number on top of the denominator
In the diagram, △ABC ~ △DEF. What is AC?
The image is of two similar right triangles ABC and DEF with right angles at B and E respectively. First one smaller in size and its base is 3. Base, altitude and hypotenuse of second one are 6, 8 and 10 respectively.
A. 4
B. 7.5
C. 5
D. 3
Answer:5
Step-by-step explanation: If you look at the base of both triangles, you'll notice that the smaller one has a base of 3, and the bigger one has a base of 6. The smaller triangle is half of the big one, therefore we can safely say that the hypothenuse of the smaller triangle is half of that of the larger one. Half of 10 is 5.
I had the same question on my homework.