A right triangle is shown below.
Which measurement is the closest to the value of x?
Answers
Answer:
35°
Step-by-step explanation:
First you find the sine of x. That would be
sinx = opposite/hypotenuse
sinx = 57/100
sinx = 0.57
You can look it up if you want, but sin35 = 0.574
so the answer is 35°
The closest to the value of x is 35°.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
In order to find the sine of x. That would be
sinx = opposite/hypotenuse
sinx = 57/100
sinx = 0.57
sin35 = 0.574
Hence, the answer is 35°.
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
Related Questions
What the simplified radical form is
Answers
Answer:
3√7
Step-by-step explanation:
√63
√3x21
√3x3x7
3√7
Hope it help
Students measure objects in their desks and the data are shown in the line plot below. If the objects are to be connected end to end,what would be the total length?
Answers
This question is incomplete because it lacks the diagram of the line plot. Find attached to the answer, the diagram of the scatter plot.
Answer:
35/8 inches or 4 3/8 inches.
Step-by-step explanation:
Reading the line plot, the number of objects is plotted vertically while the length of the object is arranged horizontally on the line plot.
The total length is calculated as: summation of the (Number of objects × Length of the objects)
= [(1/8 ×0) + (1/4×0) + (3/8 × 2) + (1/2 ×3) + (5/8 × 1) + (3/4 × 2) +(7/8 × 0)] inches
=[ 0 + 0 + 3/4 + 3/2 + 5/8 + 3/2 + 0] inches
= 35/8 inches or 4 3/8 inches.
Therefore, the total length of the objects if they are connect end to end is 35/8 inches or 4 3/8 inches.
8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4,4)}
a) Yes
b) No
Answers
Answer:
Yes
Step-by-step explanation:
The inputs in a function should have only one output. In other words, each x value should only be assigned to one y value.
For example, (−2, −1),(1, 0),(1, 5),(2, 0) would not be a function because x value 1 is assigned to both number 0 and number 5.
In (1, 1)(2, 2)(3, 3)(4,4), non of the X values repeat themselves, so it IS a function.
QUESTION 1 What is the median of the data set? 23 19 13 11 17 19 18 12 17 19
Answers
Answer:
17.5
Step-by-step explanation:
First you need to put those numbers in order from least to greatest
second go from each side and count till you get to the middle 17 and 18
third add 17 + 18 = 35
fourth divid by 2 35/2 = 17.5
Hope this helps
every natural number is a whole number why?
Answers
Answer:
Step-by-step explanation:
0 is whole number and 1 is natural number they both end in infinity. So there is only 0 in whole number but not in natural number.thats why every natural number is whole number
Natural numbers are the counting
numbers and they are always positive.
The set of natural numbers begin at 1 and go on indefinitely.
The natural numbers look like {1, 2, 3, 4, 5, ...}.
When we include 0 in the set of natural numbers, the new set,
{0, 1, 2, 3, 4, ...} is called the set of whole numbers.
Notice that all natural numbers are
included within the set of whole numbers.
We can represent the relationship between these
two sets of numbers using a diagram.
The bigger circle below represents the set of whole numbers
and all natural numbers will appear within the set of whole numbers.
In summary, natural numbers are the same as whole numbers except for the fact that whole numbers include 0.
y - 4x = 5
8x - 2y = 16
Solve using system of equations
Answers
Answer:
No solution
Step-by-step explanation:
Let's solve this system using elimination through addition/subtraction. Multiply the second equation by (1/2), which results in the system
y - 4x = 5
4x - y = 8
--------------
0x + 0y = 13. This is NEVER true. This system of equation has NO SOLUTION.
1. Express as a unit rate
a) Serena walks 4 km in 1 h.
Answers
Answer:
Step-by-step explanation:
Serena walks 4 km in 1 h.
That means:
1) She walks 4 km per hour.
2) She spends 1/4 = 0.25 hour per mile.
Have a good day.
We can write this as:
4 kilometers/1 hour
The unit rate is already simplified so there is nothing else to do.
Answer: 4km/1hr
Best of Luck!
The drop that riders experience on Dr. Doom’s Free Fall can be modeled by the quadratic function, h(t) = −9.8t2−5t + 39
where h is height in meters and t is time in seconds.
Determine the actual solution to the questions below. Use the previous question to assist you.
(a) What is the starting height of the riders?
The starting height of the riders is meters.
(b) According to the function, when will the height of the riders equal 0? Round to the nearest tenths place. *hint: find the solution(s).
The height of the riders will equal 0 at seconds.
Answers
Answer:
a) 39 meters
b) t = 1.8 seconds
Step-by-step explanation:
a)
To find the starting height of the riders, we just need to use the value of t = 0 in the equation of h(t):
h(0) = -9.8*0^2 - 5*0 + 39
h(0) = 39 meters
b)
To find when the height will be equal 0, we just need to use the value of h(t) = 0 and then find the value of t:
0 = -9.8*t^2 - 5*t + 39
Delta = b^2 - 4ac = 25 + 4*39*9.8 = 1553.8
sqrt(Delta) = 39.418
t1 = (5 + 39.418)/(-2*9.8) = -2.2662 s (A negative value for the time is not suitable for the problem)
t2 = (5 - 39.418)/(-2*9.8) = 1.756 s
Rounding to nearest tenth, we have t = 1.8 s
HELP PLEASE:
I am not understanding on how to solve this problem, and a step by step explanation would help a lot.
A random sample of 120 is taken from a population of 10000. From a previous survey, it is believed that 62% of the population has an Instagram account. Find the mean and standard deviation of the sample proportion. Give the standard deviation to two nonzero decimals (such as .012 and not .01).
(mean subscript p-hat) μˆp =
(standard deviation subscript p-hat) σˆp=
Answers
Answer: Mean of the sample proportion = 74.4
Standard deviation of the samnple proportion is 5.32.
Step-by-step explanation:
Given : A random sample of 120 is taken from a population of 10000.
Let n = 120
Also, from previous survey, it is believed that 62% of the population has an Instagram account.
i.e, population proportion : p = 0.62
Now , the mean of the sample proportin would be :
[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]
i.e. Mean of the sample proportion = 74.4
The standard deviation of the samnple proportion would be :
[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]
Thus , the standard deviation of the samnple proportion is 5.32.
The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. Why are the events are not independent?
Answers
Answer:
Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question, we have that:
[tex]P(A) = 0.4, P(B) = 0.2, P(A \cap B) = 0.1[/tex]
However
[tex]P(A)P(B) = 0.4*0.02 = 0.08[/tex]
Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.
Answer:
C
Step-by-step explanation:
edg 2020
A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk the cow gives, and x is the number of pounds of grass it eats.
Answers
Answer:
x = 2.5y
Step-by-step explanation:
If a cow can give 5 gallons of milk after eating 2 pounds of grass.
Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.
Hence,
5y = 2x
We will simplify it to get what x equal to y by dividing 2 on both side we find,
x = 2.5y
x is equal to 2.5 y
By eating 1 pound of grass cow can give 2.5 gallons of milk.
Answer:
26xy
Step-by-step explanation:
#THANKMELATER
If y varies inversely as x and y = 8 when x = 9, find x when y = 12.
Answers
Answer:
x = 6
Step-by-step explanation:
An inverse variation is
xy = k where k is the constant of variation
8*9 = k
72 = k
xy = k
Let y = 12
x*12 = 72
Divide each side by 12
12x/12 =72/12
x = 6
3 POINSSSSSS
The bar graph shows the results of rolling a number cube (a die) 50 times. What is the probability of rolling an odd number? How does this compare with the theoretical probability of rolling an odd number?
Experimental Probability. Theoretical Probability
P(odd) = % P(odd) = %
Answers
Answer:
see below
Step-by-step explanation:
Experimental means what actually happened
P(odd) = (number of 1 + number of 3 + number of 5) / total
= (10+8+8) / 50
= 26/50
= 13/25 = 52%
Theoretical means what we expect to happen
P (odd) = (number of 1 + number of 3 + number of 5) / total
=(1+1+1)/6
=1/2 = 50%
We rolled an odd just a little more than the expected amount of times
Answer:
yes
Step-by-step explanation:
Find the area of the semicircle? Helpppp
Answers
Answer:
14.135
Step-by-step explanation:
6 divided by 2 (half) = 3, π·32≈28.27433 dived by 2 (half) equals 14.135
Answer:
14.13 units ^2
Step-by-step explanation:
A= 3.14 (3)^2 (area of a circle)
A= 28.26 / 2 (divide to find half of the circle)
A=14.13 units ^2
PLZZZZZZZZZZ HELP MEEEEEEEE
Answers
Answer:
D
Step-by-step explanation:
[tex]2x^2+2x+12=3x^2-x+2\\2x+12=x^2-x+2\\x^2-3x-10=0\\(x-5)(x+2)=0\\x=5, -2[/tex]
The correct answer is choice D. Hope this helps!
Answer:
{-5, 2}
Step-by-step explanation:
[tex]2x^{2} + 2x + 12 = 3x^{2} -x + 2[/tex] move everything to the right side
[tex]-2x^{2} -2x-12=-2x^{2} -2x-12[/tex] add line 1 and 2 to get the below equation
[tex]0 = x^{2} -3x -10[/tex] find multiples of -10 that add to give you -3
to get -10 we have to have (+)(-)
{-5, 2}
Find the area of the shape
(shown in image)
Answers
Answer:
A = 108 units^2
Step-by-step explanation:
A = (1/2)(1 + 8)(24)
A = (1/2)(9)(24)
A = (9)(12)
A = 108
Answer:
108
Step-by-step explanation:
If it's a whole rectangle, the are would be 192
The piece that's missing is a right triangle.
The area of the right triangle = 1/2 base x height = (1/2)(7)(24) = 84
A = 192 - 84
A = 108
Plz, help me plz!!!!!!
Which triangles are congruent?
Image below
Answers
Answer:
B. Triangles A and C
Step-by-step explanation:
Let's find the missing angle of all Triangles:
Triangle A: 180-110-30=40°
Triangle B: 180-30-45=105°
Triangle C: 180-110-40=30°
All triangle angles in numerical order:
ΔA: 30, 40, 110
ΔB: 30, 45, 105
ΔC: 30, 40, 110
We see that only ΔA and ΔC are congruent with the same angle sizes.
The are both have the same measurements
Jake and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 70 centimeters. What is the approximate area of the circle?
(Use 3.14 for Pi)
Answers
Answer:
3847
Step-by-step explanation:
To get your radius
diameter/2= 70/2=35.
Radius=35
Area=πr^2 =3.14x 35x35= 3846.5
approximately=3847
The answer to 7/12 divided by 2
Answers
Answer: 7/24
Step-by-step explanation: Think of the 2 as 2/1.
When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.
So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].
Now multiplying across the top and bottom we get 7/24.
Answer:
7/24
Step-by-step explanation:
the guy was right! (also khan said so)
I don’t understand how to do this problem. How would I solve it?
Answers
Answer:
About 2.569 seconds
Step-by-step explanation:
To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula [tex]v_f=v_o+at[/tex], where [tex]v_f[/tex] is the final velocity, [tex]v_o[/tex] is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):
[tex]0=5+(-32)t[/tex]
[tex]t=5/32[/tex] seconds
To find the height that this indicates the diver has risen, you can plug this time into the following formula: [tex]d=v_o t+\frac{1}{2}at^2[/tex]
[tex]d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172[/tex] feet
For the second part, you can use the equation [tex]d=v_o t+\frac{1}{2}at^2[/tex] again. Since the initial velocity for this part is 0, you can set up the following equation:
[tex]92+1.172=\frac{1}{2}\cdot 32 \cdot t^2[/tex]
[tex]t \approx 2.413[/tex]
Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!
Stir-fry is tony's favorite food to cook, but it always makes a lot of smoke! Tony needs to know the volume of his kitchen so he can buy a fan that is the right size. Tony's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of tony's kitchen?
Answers
Answer:
Volume = 680 ft³
Step-by-step explanation:
Given
Floor Area = 85 ft²
Height = 8 ft
Required
Volume of the Kitchen
To solve this, it'll be assumed that Tony's kitchen has a regular shape.
Having said that, the volume of Tony's kitchen is calculated as thus.
Volume = Floor Area * Height.
Substitute the values of floor area and height
Volume = 85ft² * 8ft
Volume = 680 ft³
Hence, the volume of Tony's kitchen is 680ft³
135 = 2x + 25
solve for x
Answers
Answer:is 55
Step-by-step explanation:
135-25=2x
110/2=55
Answer:
x = 55
Step-by-step explanation:
First you start with your equation, which is: [tex]135=2x+25[/tex]
Subtract 25 from both sides. Once you do that, you get: [tex]110=2x[/tex]
Then after that, you divide both sides by 2. Then you get your answer, which is: [tex]x=55[/tex]
✌Hope I helped ya✌
what is the slope of the line that passes through the points (-4,-4) and (-4,-9)? Write your answer in simplest form
Answers
Answer:
undefined
Step-by-step explanation:
We can find the slope of a line using two points by
m = (y2-y1)/(x2-x1)
= (-9- -4)/(-4 - -4)
= (-9+4)/(-4+4)
= -5/0
When we divide by zero, our solutions is undefined
The slope is undefined
A 4-foot long steel pipe consists of two concentric cylinders, with the inner cylinder hollowed out. The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe is 5.75 inches.
A. Determine the volume of metal used to build the pipe
B. If the pipe is to be powder-coated on the inside and outside surfaces, what is the total surface area to be powder-coated?
Answers
Answer:
Step-by-step explanation:
The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe
is 5.75 inches
Determine the volume of metal used to build the pipe.
John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at a speed of 42mph. On the way back the rain was over so his speed was 54mph. What was John's average speed, for the whole trip?
Answers
4/7 of the students in a classroom are boys. If there are twelve girls in the class, how many total students are there?
Answers
Answer:
28 students total.
Step-by-step explanation:
Let's use a ratio:
boys : girls
4 : 3
16 : 12
To find the total, we need to add 16 and 12 which equals 28
Answer:
28 students
Step-by-step explanation:
If 4/7 of the students are boys,
then 1- 4/7 = girls
7/7 -4/7 = 3/7
total students *3/7 = girls
total students * 3/7 = 12
Multiply each side by 7/3
total students * 3/7 *7/3 = 12*7/3
total students = 28
6. David leaves the house to go to school He walks 200 m west and 125 m
north. Calculate how far he is from the sting point.
Answers
Answer:
~235.8
Step-by-step explanation:
200^2 +125^2= distance traveled^2
55625= distance traveled^2
235.849528301
4.16×10^−5 divided by 8.0×10^−4 in scientific notation
Answers
Answer: 13/250 or 0.052
Step-by-step explanation:
4.16 (1/100000)/ 8 (10^-4)
Then keep doing order of operations and dividing down.
Answer:
5.2*10^-2
Step-by-step explanation:
Which change can be made to correct the chart
Answers
Answer:
what chart
Step-by-step explanation:
The sale price of ground beef at a local grocery store is $1.49 for the first pound and $1.09 for each additional pound. Which function rule shows how the cost of ground beef, y depends on the number of pounds, x?
Answers
Answer:
y=1.09x+0.4
Step-by-step explanation:
Let's assume that the price of beef stays the same for every pound of beef (the first pound is also $1.09)
Then, the equation would be, it y was the cost, and x was pounds:
y=1.09x
But, the price of beef is not the same for the first pound.
The first pound costs an extra 1.49-1.09=0.4 dollars a pound, so we will add that to the equation.
y=1.09x+0.4
