The tangent of angle X is 2.246.
Work out the size of angle X.
Give your answer to the nearest degree.
____ °
Tangents are slopes, and there are two angles with the same slope that are 180 degrees apart, not to mention an infinite number of coterminal brethren all with the same tangent. So this question is a bit ambiguous.
Let's assume they want the principal value of the inverse tangent, between -90 degrees and +90 degrees. A tangent bigger than 1 means it will be between 45 and 90 degrees.
tan x = 2.246
x = arctan 2.246 = 66.00 degrees
Answer: 66
pls pick one of the answers below
Answer:
5+4x=25
Step-by-step explanation:
You already know you bought 1 $5 magazine so that is the constant. And the question asks how many erasers you bought to equal $25. So to write the equation you know it equals 25 and the 5 is constant, if each eraser is $4 then the x goes with the 4 making it, 5+4x=25
Answer:
The answer to the far left/the Blue Answer.
Step-by-step explanation:
The reason why is because if 1 magazine was the price of $5, that would mean that the total of the erasers AND the magazine equals 25 dollars, as said in the statement. This means that when subtracting 5 dollars from 25 dollars, there are 20 dollars left. This means that if there were 4 erasers, that means that 20 dollars divided 4 erasers equals 5 dollars. This means that each eraser costs 5 dollars, making the Blue Answer/Statement true.
Ajar contains 3 red, 4 blue, and 5 white marbles. What is the probability of drawing first a red and then, without
replacement, a white marble?
5/44
31/44
5/48
Answer:
5/44
Step-by-step explanation:
3 red, 4 blue, and 5 white = 12 marbles
P(red) = number of red / total
= 3/12 = 1/4
no replacement
2 red, 4 blue, and 5 white = 11 marbles
P(white) = number of white / total
= 5/11
P(red, no replacement, whit) = 1/4*5/11 = 5/44
Rob is going 90 mph in a 45. How much faster % is Rob going?
Answer:
Rob would be going 45 over if he's in a 45
Step-by-step explanation:
90-45=45
And to check your work 45+45=90
Harper uploaded a funny video of her dog onto a website.
The relationship between the elapsed time, tea, in days since the videos first uploaded, and the total number of views, V(d) that the video received is modeled by the following function
V(d)=4^1.25d
How many views will the video receive after 6 days ? Round the answer to the nearest hundredth
Answer:
32,768 viewsStep-by-step explanation:
Given the relationship between the elapsed time, tea, in days since the videos first uploaded, and the total number of views, V(d) that the video received modeled by the following function
V(d)=[tex]4^{1.25d}[/tex]
In order to know the number of views the video will receive after 6 days, we will substitute the number of days i.e d = 6 into the modeled equation as shown;
[tex]V(6)=4^{1.25(6)}\\V(6)=4^{7.5}\\V(6) = 32,768views[/tex]
Answer:
32,768
Step-by-step explanation:
An arc that lies between the two sides of a central angle is called _____
Answer:
A minor arc
Step-by-step explanation:
Answer:
minor arc
Step-by-step explanation:
A 12-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 rpm, what is the speed of the larger gear? The speed of the larger gear is nothing rpm.
Answer:
203 rpm
Step-by-step explanation:
The speed of the larger gear can be calculated using the following equation:
[tex] v = \omega*R [/tex]
Where:
ω: is the angular velocity of the motor = 700 rpm
R: is the gear ratio
The gear ratio is the following:
[tex] R = \frac{n_{(a)}}{n_{(b)}} [/tex]
Where:
n(a): is the number of teeth on the small gear = 12 teeth
n(b): is the number of teeth on the larger gear = 42 teeth
The gear ratio is:
[tex]R = \frac{12}{42} = 0.29[/tex]
Now, the speed of the larger gear is:
[tex]v = \omega*R = 700 rpm*0.29 = 203 rpm[/tex]
Therefore, the speed of the larger gear is 203 rpm.
I hope it helps you!
What is the sum or difference?
a. 5x4 + 4x4
b. 12x5y − 9x5y
Answer:
a. 9x^4
b. 3 x^5y
Step-by-step explanation:
a. 5x^4 + 4x^4
Combine like terms
9x^4
b. 12x^5 y − 9x^5 y
Subtract like terms
3 x^5y
7. Barry is hosting a Super Bowl party and offers 7 different kinds of chip dip. If a party goer can choose any number of chip dips for their chips, how many chip dip combinations are possible?
Answer:
The number of possible chip dip combinations = 5040
Step-by-step explanation:
There are 7 different kinds of chip dip available
The number of chip dip combinations available = 7! combinations
n! = n*(n-1)*(n-2)*........*1
7! = 7 * 6 * 5 * 4* 3 * 2* 1 = 5040
The number of possible chip dip combinations = 5040
A container is in the shape of the rectangular prism shown. Stan measures the length of PS as 12 feet, the length of SR as 9 feet, and the length of RV as 8 feet. Stan needs to calculate the distance from point P to point V
Answer:
The distance from point P to point V = 17 ft.
Step-by-step explanation:
A rectangular prism is simply a cuboid,
The image describing the cuboid described, as obtained from from internet is attached to this solution. (It is redrawn to avoid the solution being removed due to violation of community guidelines)
From the image, PR, PS and SR form a right angled triangle on the case of the cuboid.
With PR as the hypotenuse side, using Pythagoras theorem,
(PR)² = (PS)² + (PR)²
(PR)² = 12² + 9² = 144 + 81 = 225
PR = √225
PR = 15 ft.
On a second evaluation, the required length, PV, PR and RV form another right angled triangle with PV as the hypotenuse side, using Pythagoras theorem again,
(PV)² = (PR)² + (RV)²
(PV)² = 15² + 8² = 225 + 64 = 289
PV = √289
PV = 17 ft.
Hope this Helps!!!
A line passes through the point (3,-1) and has a slope of -2/3. Which of the following points also lies on this line?
A. (9,5)
B. (-3,1)
C. (6,3)
D. (-9,7)
Answer:
I think its D. -9,7
Step-by-step explanation:
STRUCTURE Write the ratio of the side lengths of the two cubes described in simplest form. a. The volumes of the two cubes are 270x cubic inches and 32x2 cubic inches. b. The surface areas of the two cubes are 6x4 square feet and 6(x + 1) square feet.
Answer:
a) [tex]2.036x^-\frac{1}{3}[/tex]
b) [tex]\frac{x^2}{\sqrt{x+1} }[/tex]
Step-by-step explanation:
For a cube, all the sides are equal. Let the length of each side be L
a) The volume of a cube (V) = L³
For the first cube:
V = 270x in³
270x = L³
L = ∛(270x) = [tex]6.463x^\frac{1}{3}[/tex]
For the second cube:
V = 32x² in³
32x² = L³
L = ∛(32x²) = [tex]3.175x^\frac{2}{3}[/tex]
Ratio of length = [tex]\frac{6.463x^\frac{1}{3} }{3.175x^\frac{2}{3} }=2.036x^-\frac{1}{3}[/tex]
b) The surface area of a cube (s) = 6L²
For the first cube:
s = 6x⁴ ft²
6x⁴ = L²
L = √6x⁴= 2.45x²
For the second cube:
s = 6(x + 1) ft²
6(x + 1) = L²
L = √6(x + 1)= 2.45√(x + 1)
Ratio of the length = [tex]\frac{2.45x^2}{2.45\sqrt{ (x + 1)}} =\frac{x^2}{\sqrt{x+1} }[/tex]
Which expressions are equivalent to 4^-2 * 7^-2 Choose 2 answers
A: (4 x 7)^4
B: 1/28^2
C: 7^-2/4^2
D: (4 x 7)^4
please help me, someone
Answer: B and C
Step-by-step explanation: the expression is 1/784 when u simplify and when u simplify B and C, u will get 1/784 so we can see that B and C is equivalent to the expression
How to solve this with working out please.
Answer:
11+0.48+0.23=11.71.
Can someone help me please? Thanks!! :)
Answer:
The answer on the top is the best line for a line of best fit because...
Step-by-step explanation:
there is a noticeable correlation in the first graph- a positive one. The line of best fit should have about the same amount of line plots on the top than on the bottom. Also, there can be a few line plots that is touching the line of best fit as well. Those line plots will be about the middle of the data and provide a good guideline to make your line of best fit the most accurate. The second graph is pretty scattered and doesn't have a clear correlation therefore having no correlation. Hope this helps!!
HELP PLZ HURRY!!!!!!!!!!!!
Answer: D
d. because they are not subtracted(C), the two fractions do not add up to 13(B), and the number is not equal to 2(A).
If the area of a square is 16 square feet, how long are the sides?
Answer:
4 square feet each.
Step-by-step explanation:
A square is 4 times 4 so if you divide 16 divided by 4 it is 4.
Answer:
The sides are going to 4 square feet long.
Step-by-step explanation:
This is true because since a square has equal length sides. And there are 4 sides. So divided 4 by 16 to get 4. So, the answer is 4 square feet long.
Mark brainliest if ya don't mind!
Here is a list of numbers. 6 7 2 4 6 6 9 5 3 3 find the mean and median
Mean= 5.1 (Sum of all the terms/number of terms)
( 6 + 7 + 2 + 4 + 6 + 6 + 9 + 5 + 3 + 3 ) ÷ 10 = 5.1
Median= 5.5 (The middle term when you order them from lowest to highest)
2 3 3 4 5 6 6 6 7 9
Step-by-step explanation: The mean of a data set is equal tot he sum of the set of numbers divided by however many numbers are in the set.
So to find the mean of the data set shown here,
let's begin by adding the numbers.
So we have 6 + 7 + 2 + 4 + 6 + 6 + 9 + 5 + 3 + 3.
Adding the numbers, we get 51.
Now, 51 will be divided by the number
of numbers in the set which is 10.
So 51 divided by 10 gives us 5.1.
So the mean of the data set is 5.1.
Now, the median is the middle number in the data set
when the data set is written from least to greatest.
So let's write our data set from least to greatest.
So we have 2, 3, 3, 4, 5, 6, 6, 6, 7, 9.
Notice that there are two numbers in the middle, 5 and 6.
In this situation, add the numbers and divide by 2.
So 5 + 6 is 11 and 11 divided by 2 is 5.5.
So the median is 5.5.
the angles of a quadrilateral are in the ratio 2:3:4:6. find the measure of the angles.
Answer:
Step-by-step explanation:
2:3:4:6
Angles in a quadilateral 360
2 + 3+4+6 =15
2/15 × 360° =48°
3/15 × 360° = 72°
4/15 × 360° = 96°
6/15 × 360° = 144°
A ball on a pendulum moves 30 cm on its first swing. Each succeeding swing it
moves 0.5 the distance of the previous swing. What is the total distance that the
ball moves before coming to rest? Write your answer in the box.
Answer:
130cm
Step-by-step explanation:
4 2/3 ÷ 4/3
Solve this
Answer:
3 1/2 if you need decimal then 3.5
Step-by-step explanation:
sorry if wrong
but tell me if I am correct
There were seven friends playing a video game online when two more players joined the game. If each player had seven lives, how many lives did they have total?
Answer:
14 lives in total
Step-by-step explanation:
7*7=14
Answer:
63 lives
Step-by-step explanation:
You had 7 players, and two more joined. Add these together for the total amount of players.
7 + 2 = 9
Now multiply the number of players by the number of lives they each have.
9 × 7 = 63
There are 63 total lives.
Miguel ran 2 9 10 miles on Monday. On Friday, Miguel ran 5 times as far as he did on Monday. How much farther did Miguel run on Friday than he did on Monday? Miguel ran miles farther on Friday
Answer:
[tex]11\dfrac{3}{5}$ miles[/tex]
Step-by-step explanation:
Miguel ran [tex]2\dfrac{9}{10}[/tex] miles on Monday.
On Friday, he ran 5 times as far as he did on Monday.
Miles run on Friday
[tex]=5 X 2\dfrac{9}{10}[/tex]
[tex]=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles[/tex]
Difference in Number of Miles Run
[tex]=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles[/tex]
Therefore, Miguel ran [tex]11\dfrac{3}{5}$ miles[/tex] farther on Friday.
what is 24 + p = 54?
what is w − 16 = 28?
what is 18 = t + 2?
Answer:
P=30
W=12
T=16
Step-by-step explanation:
There are 20 students in class. 12 students are girls; the rest are boys. 5 students wear glasses. What is the probability of a student in the glass being a girl who wears glasses?
Answer: The probability is 8%
Step-by-step explanation:
Please add a little more detail on what is going on in the problem / question above.
A girl is flying a kite with a 120ft string attached to the ground is flying directly Selena’s head is standing 24 ft from where the kite is attached to the ground if seleana is 6ft y’all how far above her head is the kite
Answer:
111.58 feet
Step-by-step explanation:
Given that the length of the string (AB in the attached diagram) is 120 feet.
Selena (at point D) is standing 24 feet from point A, where the kite is attached to the ground.
Since the kite is directly above Selena's head, the problem forms a right triangle.
Using Pythagoras theorem
[tex]|AB|^2=|BD|^2+|AD|^2\\120^2=|BD|^2+24^2\\|BD|^2=120^2-24^2\\|BD|^2=13824\\|BD|=\sqrt{13824} \\|BD|=117.58$ ft[/tex]
Serena's height (CD=6 feet)
The distance of the kite above her head is BC in the drawn diagram.
Therefore:
|BD|=|BC|+|CD|
117.58=|BC|+6
|BC|=117.58-6
|BC|=111.58 feet
The kite is approximately 111.58 feet above Selena's head/
If Stan gathered x tomatoes everyday for 3 days, how many tomatoes did he gather
Answer:
the number of tomatoes he gathered for 3 days = 3 × x = 3x
Step-by-step explanation:
According to the question Stan gathered x number of tomatoes every single day for three days. The total number of tomatoes she gathered altogether can be calculated below.
The number of tomatoes she gathered daily = x
The number of tomatoes she gathered for 3 days will be the product of the daily number of tomatoes she gathered(x) and the number of days she gathered it(3).
Therefore,
the number of tomatoes he gathered for 3 days = 3 × x = 3x .
Or you could calculate the number of tomatoes she gathered for that 3 days by summing the number of tomatoes she had daily for that 3 days .
The firs day she gathered x number of tomatoes , the second day another x number and finally the last day another x number of tomatoes. Therefore,
x + x + x = 3x
Solve x2 + 8x + 8 = 0 by completing the square. Which equation is used in the process?
Evaluate 14 - (2x - y), when x = 3 and y = 2.
Answer:
-7
Step-by-step explanation:
Plug in your x and y values and use the information
The value of the expression 14 - (2x - y) when x = 3 and y = 2 is 10.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, 14 - (2x - y) to obtain the value of the expression when x = 3 and y = 2 we'll imply replace the numerical values of x and y which is,
= 14 - (2(3) - 2).
= 14 - 6 + 2.
= 10
learn more about numerical expressions here :
https://brainly.com/question/29199574
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How would you find the velocity of this? Please answer asap♥️
John is rolling down a 0.9km hill. It takes him 28s to make it to the bottom. What was John’s velocity?
Answer:
115.7 km/h
Step-by-step explanation:
velocity = distance/time
velocity = (0.9 km)/(28 s) = 0.032143 km/s
The velocity is 0.032143 k/s. The question is answered, but since km/s is not a common unit of speed, we can convert to a more common unit of speed such as km/h.
velocity = (0.9 km)/(28 s)[(3600 s)/(1 h)] = 115.7 km/h