Answer: 2/sqrt6
Step-by-step explanation:
tan theta=perpendicular/base so
cot theta =base /perependicular=sqrt2/2
while sin theta=perpendicular/hypotenous=2/x
here x is unkown to find it we will use pythagoras theorem
(hypoteneous)^2=(Base)^2+(perependicular)^2
=(sqrt 2)^2+(2)^2
=2+4
(hypoteneous)^2=6
hypotenous =sqrt6
so
sin theta=2/sqrt6
A study of the impact of caffeine consumption on reaction time used 24 subjects and divided them into 12 pairs based on the average hours of sleep they got. One randomly assigned member of each pair drank two cups of caffeinated coffee, and the other drank two cups of decaf. Each subject's performance on a standard reaction time test was recorded. The difference for each pair is calculated (caffeinated - decaf). A 95% confidence interval for the mean difference in reaction times is (-1.2, 0.75).
What is a valid conclusion they can make?
a. Because the confidence interval includes more negative numbers than positive, we have convincing evidence that caffeine decreases reaction time.
b. Because the confidence interval includes 0, we don't have convincing evidence that there is a difference in reaction time.
c. Because the center of the interval is -0.225, we have convincing evidence that decreases reaction time.
d. Because the confidence interval includes 0, we have convincing evidence that the true mean difference is 0.
Using the confidence interval, it is found that the correct option regarding the valid conclusion they can make is given by:
b. Because the confidence interval includes 0, we don't have convincing evidence that there is a difference in reaction time.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not a difference in reaction times, that is:
[tex]H_c - H_d = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, that is:
[tex]H_c - H_d \neq 0[/tex]
The interval contains 0, hence there is not enough evidence to reject the null hypothesis, which means that option B is correct.
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5 km= _ m I don't understand
5000
Step-by-step explanation:Measurements can be given in multiple units. Unit conversion is important, especially when dealing with formulas because sometimes only specific units work.
Metric System
In this case, the question is asking about kilometers (km) and meters (m), both of which are in the metric system. Unit conversions are easier in the metric system because it uses prefixes that give you extra information. Each of the prefixes means a different number.
Milli - 1/1000thCenti - 1/100thDeci - 1/10thDeca - 10Kilo - 1000These are not all of the possible prefixes, but they are the most common. This means that a decameter represents 10 meters and 1 millimeter is 1/1000 of a meter.
Conversion
Using the prefixes above, we can tell that 1 kilometer is 1000 meters. So, we can multiply whatever amount of kilometers we have by 1000. This will gives the number of meters.
5 * 1000 = 5000Thus, 5 km = 5000 m.
At a store, Eva bought two shirts and five hats for $154.00. Nicole bought
three same shirts and four same hats for $168.00. What is the price of each
shirt? _____
Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8?
(3, 1)
(1, 3)
(2, –4)
(–4, 2)
Answer:
(-4 , 2)
Step-by-step explanation:
Linear inequality:3y - 2x ≥ 8
The ordered point (-4 ,2) satisfies the inequality. So, (-4,2) is the solution for the equation.
3*2 - 2*(-4) ≥ 8
6 + 8 ≥ 8
14 ≥ 8
I need help with all 4 very fast since i got math next per in 20 min thanks
Answer:s=12
Step-by-step explanation:s divided by 24 equals 12
Reid, the second-place finisher, developed a cramp with 3 tenths of the race remaining. How many miles did Reid run without a cramp?
Answer:
He ran .7 miles without a cramp
Step-by-step explanation:
Given the following equation what is the value of y if x = 7
What is the volume of the right triangular prism in cubic meters?
Answer:
915.78cm
Step-by-step explanation:
you do AxBxCxH
a base side
b base side
c base side
height
all multiplied by each other
hope its correct good luck!
In circle K with m/JKL = 30 and JK = 15 units, find the length of arc JL.
Round to the nearest hundredth.
Answer:
7.85
Step-by-step explanation:
Arc Length Formula
[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})[/tex],
where r is radius.
Given information:
m<JKL = 30°
JK = r = 15 units
Substitute in equation and solve.
[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})\\\text{arc length} = 2 \pi (15) (\frac{30^\circ}{360^\circ})\\\text{arc length} = \frac{5}{2} \pi \approx 7.85398\\\text{arc length} = 7.85 \text{ units}[/tex]
This is geometry and I need help
Answer:
Step-by-step explanation:
Remark
The sine of an angle involves the Hypotenuse. So the first job is to find that.
When you do Sin(H) = opposite / hypotenuse
Hypotenuse
Givens
a = √3
b = √13
c = ?
c is the hypotenuse.
Equation
c^2 = a^2 + b^2 Substitute values
Solution
c^2 = (√3)^2 + (√13)^2
c^2 = 3 + 13 Combine
c^2 = 16 Take the Square Root of Both Sides
√c^2 = √16
c = 4
Sin(H) = opposite / Hypotenuse
Opposite = √3
Hypotenuse = 4
Sin(H) = √3/4
Sin(H) = 1.7321/4
Sin(H) = 0.4330
Answer
Sin(H) = 0.43
A teacher gave her class two quizzes. 25% of the class passed both quizzes and 40% of the class passed the first quiz. What percent will pass the second quiz given they passed the first quiz?
Answer:
35%
Step-by-step explanation:
40% + 25% = 65% minus that bye 100 you would get 35% the reason the answer isn't 65 is because add 40+25+65=130 which a whole is equal to 100 but if you do 40+25+35= 100 so thr answer is 35% :)
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $15. For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1500 . How many tickets of each type were sold?
The advance tickets were 35 in number and the same day ticket will be 30 in number.
What will be the number of tickets?To find out the number of the tickets sold we will give some notations so the notations are as follows:-
A= Cost of advance tickets=$30
S= cost of same-day ticket-=15
[tex]N_A=[/tex] Number of the advance tickets
[tex]N_S=[/tex]Number of same-day tickets.
The equations made by the given data will be:-
[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]
By solving the above equations:-
[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]
Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.
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On a map, 1 inch equals 5 miles. Two cities are 9 inches apart on the map. What is the actual distance between the cities? Question content area bottom Part 1 The actual distance between the cities is entered in your response here miles. Need help fast
Answer:
45 mile
Step-by-step explanation:
One inch is equivalent to 5 miles. Given this comparison in regards to scale, 9 inches would simply be 9 times that. In basic terms, 9 times or inches multiplied by each 5 mile increment would be stated as 9 inches x 5 miles, resulting in a 45 mile distance between the two cities.
Write an equation in slope-intercept form of the line that passes through the point (-6,8) and has a slope of 1/2
Answer:
Step-by-step explanation:
Remark
You can get 1/2 the unknown just by looking at the givens. The slope is just given -- no need to modify it.
The y intercept is a little harder. You need the point for that.
Givens
Slope = 1/2
point = (-6,8)
Formula
y = mx + b
Solution
m = 1/2
y = 1/2x + b To find b,
x = -6y = 88 = 1/2(-6) + b
8 = -3 + b Add 3 to both sides
8 + 3 = b
b = 11
Answer
y = 1/2x + 11
Answer:
y = 1/2x+11
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1/2x +b
We can use the point on the line to find b
8 = 1/2(-6) +b
8 = -3+b
Add 3 to each side
8+3 =-3+3 b
11 = b
y = 1/2x+11
iready math number line
Answer:
the first equation or the one below it
Step-by-step explanation:
please mark me as brainliest
Answer the Volume Based Question. I will make uh Brainliest + 50 points
Step-by-step explanation:
(i) For cuboid shaped container:[tex]l = 3a\: cm,\: b = 3a\:cm,\: h = x\:cm[/tex] (Given)Container is filled with water so the volume of water can be given by the following formula:[tex]V_{water} = lbh[/tex]Plugging the values of l, b and h in the above formula, we find:[tex]V_{water} = (3a)(3a)(x)[/tex][tex]\huge{\red{\boxed{V_{water} = 9a^2x\:cm^3}}}[/tex](ii) For solid right circular cylinder:radius (r) = a cm, h = a cmFormula for volume of cylinder is given as:[tex]V_{cylinder} =\pi r^2 h[/tex][tex]V_{cylinder} =\pi (a)^2 (a)[/tex][tex]\huge{\purple{\boxed{V_{cylinder} =\pi a^3 \:cm^3}}}[/tex]The state of Connecticut is approximated by a rectangle 100 mi by 50 mi.
Hartford is approximately at the center of Connecticut. If a meteor hit the
earth within 200 mi of Hartford, find the probability that the meteor landed in
Connecticut.
Answer:
4.0%
Step-by-step explanation:
If we assume that potential impact sites are uniformly distributed over the area, the probability of interest is the ratio of the area of Connecticut to the area of the circle within 200 miles of Hartford.
__
area of circleThe area of a circle with radius 200 miles is ...
A = πr²
A = π(200 mi)² = 40000π mi² ≈ 125,664 mi²
area of CTThe area of a rectangle 100 miles by 50 miles is ...
A = LW
A = (100 mi)(50 mi) = 5000 mi²
probabilityThe probability of interest is the ratio of these areas:
p(impact in CT) = (5000 mi²)/(125664 mi²) ≈ 0.03979
The probability the meteor landed in Connecticut is about 4.0%.
Find the value of this expression if x = -1 and
y = 5.
x²y/2
[tex]\dfrac{x^2y}{2} = \dfrac{(-1)^2 \cdot 5 }{2} = \dfrac{1 \cdot 5}2 = \dfrac 52[/tex]
At a local market, Vijay buys two spice blends.
• Tandoori Seasoning: 3.5 ounces for $3.60 an ounce
• Garam Masala: 4 ounces for $2.75 an ounce
He calculates the total cost for the spice blends using the steps shown below.
Use the drop-down menus to explain Vijay's error.
Vijay's Calculation
Garam
Masala
Tandoori
Seasoning
Total Cost
of Tandoori
Seasoning
Total Cost
of Garam
Masala
Total Cost
of Both
Spices
2.88
3.60
x 3.5
2.75
4
+ 11.00
13.88
11.00
1800
+1080
2.880
Click the arrows to choose an answer from each menu.
The total cost of Choose.....
is incorrect. Vijay
Choose...
▼
when multiplying Choose...
cost of both spice blends is actually Choose...
x
Y
The total
Answer:
Step-by-step explanation:
The total cost of Tandoori Seasoning is incorrect.
Vijay made an error when multiplying 3.5 ounces by $3.60 .
Cost of both spice blends is actually $23.6.
What is a error?
it is defined as the deviation of an entitiy from its corrected value while calculating.
Now it is given that,
Tandoori Seasoning = 3.5 ounces for $3.60 an ounce
Garam Masala = 4 ounces for $2.75 an ounce
Hence, total cost of Tandoori Seasoning = 3.5*$3.60
⇒ total cost of Tandoori Seasoning = $12.6
and total cost of Garam Masala = 4*$2.75
⇒ total cost of Garam Masala = $11
Therefore, total cost for the spices =cost of Tandoori Seasoning + cost of Garam Masala
⇒ total cost for the spices = $12.6 + $11
⇒ total cost for the spices = $23.6
Hence, we conclude that,
The total cost of Tandoori Seasoning is incorrect.
Vijay made an error when multiplying 3.5 ounces by $3.60 .
Cost of both spice blends is actually $23.6.
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How do I solve this ?
Answer:
The theoretical probability of rolling a 4 on any given roll for a six-sided die is [tex]\frac{1}{6}[/tex], The experimental probability of rolling a 4 is [tex]\frac{6}{25}[/tex].
Step-by-step explanation:
If RS= 5 , RT = 12 , ST = 7 , and points R, S, and T are collinear, what is the relationship between points R , S , and T ?
The relationship between points R , S , and T is that the sum of the RS and RT will be equal to RT that is RT=RS+ST
What are collinear points?Collinear points are defined as the points which lie on the same line. Here we have three points R, S and T that are collinear.
We have the length equal to:
RS=5, RT=12 ST=7
So we can set the relationship as the sum of the RS and RT will be equal to RT.
So the relation will be given as:-
RT=RS+ST
hence the relationship between points R , S , and T is that the sum of the RS and RT will be equal to RT that is RT=RS+ST
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Answer:
R, S, and T
Step-by-step explanation:
collinear, is the relationship between all the points
Whoever answers these 6 area of composite shapes will get brainliest.
Thank you for your hard work!
Answer:
80 mi²63 in²32 m²44 cm²59.5 ft²48 km²Step-by-step explanation:
Q1
8 x 4 + 12 x 432 + 4880 mi²Q2
5 x 3 + 12 x 415 + 4863 in²Q3
4 x 2 + 8 x 38 + 2432 m²Q4
10 x 4 + 2 x 240 + 444 cm²Q5
5 x 2 + 11 x 4.510 + 49.559.5 ft²Q6
3 x 1 + 9 x 53 + 4548 km²Which graph and equation shows a proportional relationship between x and y?
Answer:
x is tje best answer bro ...................What’s the definition of decreasing function?
Answer:a function whose value decreases as the independent variable increases over a given range.
Step-by-step explanation:
At Frosty Freeze, 14 of the last 18 sundaes sold had nuts. What is the experimental probability that the next sundae sold will have nuts?
Answer:
The correct answer is:
P(nuts)=7/9
Step-by-step explanation:
The experimental probability that the next sundae sold will have nuts is
7/9
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting the experimental probability of occurrence of E.
We are given that At Frosty Freeze, 14 of the last 18 sundaes sold had nuts.
Therefore,
Probability that the next sundae has nuts is 14/18 = 7/9.
Thus, Probability that the next sundae does not have nuts = 2/9
P(nuts)=7/9
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What is the distance between (-5, 2) and (-1, 6). Round to the nearest tenths if necessary. You can either graph it or use the distance formula below.
Answer:
Hope the picture will help you........
Use a quadratic equation to find two real numbers that satisfies the situation.
The sum of the two numbers is 2, and their product is -48.
a. -6, -8
C.
-6, 8
b.
6,-8
d.
no such numbers exist
Answer:
its C
Step-by-step explanation:
Find a pair of values that make the linear equation y=12x−24 a true statement by filling in the boxes with a valid value of x and y.
Answer:
pair 1: (0, - 24)
pair 2: (1, -12)
Step-by-step explanation:
y = 12x − 24
A pair of values that make the linear equation true:
the easiest value is always 0!!
if x = 0 than plug it in to find y
y = 12(0) − 24 → y = -24
so the pair is (0, - 24)
if x = 1 than plug it in to find y
y = 12(1) − 24 → y = 12 - 24
so the pair is (1, -12)
4 Answer:
xy is a
a. monomial
b. binomial
c. trinomial
5 Answer:
k2 is a
a. monomial
b. binomial
c. trinomial
6 Answer:
x2y + xy2 + -5 is a
a. monomial
b. binomial
c. trinomial
7 Answer:
n2 + 4n + 4 is a
a. monomial
b. binomial
c. trinomial
8 Answer:
(2x +3) + (4x + 8) = _____
9 Answer:
(5x2 + 9) + (7x2 + -8) = _____
10 Answer:
(5s + t) + (-3s + 4t) = _____
11 Answer:
(3n2 + 4n) + (n2 + n) = _____
12 Answer:
(2a + 3b + c) + (a + 3b + -4c) = _____
13 Answer:
(7t2 + 3t + -9) + (2t2 + 6) = _____
14 Answer:
(5a + 7b) - (3a + 2b) = _____
15 Answer:
(5c2 + 7c) - (2c2 + 6c) = _____
16 Answer:
(6r + 3s) - (4r + 2s) = _____
17 Answer:
(7xy + 8y) - (3xy + 2y) = _____
18 Answer:
(8a + 2b + 5c) - (2a + b + c) = _____
19 Answer:
(9r2 + 3r + 8) - (2r2 + 7) = _____
20 Answer:
2(n + 7) = _____
21 Answer:
5(3j + -6) = _____
22 Answer:
6n(4n + 6) = _____
23 Answer:
5a(3a + -2) = _____
24 Answer:
8(2w2 + w + -9) = _____
25 Answer:
-4(4d2 + 3d + 2) = _____
26 Answer:
18r + 6
——————— = _____
3
27 Answer:
-15w2 + 10w
——————————— = _____
5w
28 Answer:
2t2 + 8t
———————— = _____
2t
29 Answer:
14z2 + 6z + 8
————————————— = _____
2
30 Answer:
18b3 + 12b2 + 6b
———————————————— = _____
6b
31 Answer:
21x2 + 14xy + -35x
—————————————————— = _____
-7x
32 Answer:
Solve: b + 2(b + 1) = 5 b = _____
33 Answer:
Solve: 3r + 5(r - 1) = 27 r = _____
34 Answer:
Solve: 2y + 2(y + 1) = -6 y = _____
35 Answer:
Solve: 2n + 2(n + 7) + 1 = 39 n = _____
36 Answer:
Solve: -3t + 2(t - 2) + 6 = -3 t = _____
37 Answer:
Solve: -6x + 3(x + 9) - 12 = 27 x = _____
38 Answer:
Solve: 3k + 4(k - 3) + 10 = -58 k = _____
39 Answer:
Solve: -4n + 2(n - 6) + 8 = 10 n = _____
40 Answer:
Solve: 2j + 4(j - 3) - 4 = -16 j = _____
41 Answer:
Solve: 2(x + 3) + 4(x - 2) = -32 x = _____
42 Answer:
Solve: 5(d + 2) + 2(d + 7) = 3 d = _____
43 Answer:
Solve: 6(w + 3) + 2(w - 4) + 10 = -4 w = _____
44 Answer:
Solve: -4z + 2(z + 1) + 3(z - 2) = 7 z = _____
45 Answer:
Solve: 3t + 2(t + 1) + 3(t - 1) = 15 t = _____
46 Answer:
Solve: -6a + 2(a - 3) + 3(a - 5) - 11 = -32 a = _____
47 Answer:
Select the equation that solves this problem:
Eight coins (dimes and nickels) are worth 60 cents. How many dimes are
there?
a. 10d + 25(11 - d) = 170
b. 10d + 25(8 - d) = 170
c. 10d + 5(8 - d) = 60
d. 10d + 5(11 - d) = 60
48 Answer:
Solve: Eight coins (dimes and nickels) are worth 60 cents. How many
dimes are there? _____
49 Answer:
Select the equation that solves this problem:
Eight coins (dimes and quarters) are worth 170 cents. How many dimes are
there?
a. 10d + 25(11 - d) = 170
b. 10d + 25(8 - d) = 170
c. 10d + 5(8 - d) = 60
d. 10d + 5(11 - d) = 60
50 Answer:
Solve: Eight coins (dimes and quarters) are worth 170 cents. How many
dimes are there? _____
51 Answer:
Select the equation that solves this problem:
Eleven coins (dimes and nickels) are worth 60 cents. How many dimes are
there?
a. 10d + 25(11 - d) = 170
b. 10d + 25(8 - d) = 170
c. 10d + 5(8 - d) = 60
d. 10d + 5(11 - d) = 60
52 Answer:
Solve: Eleven coins (dimes and nickels) are worth 60 cents. How many
dimes are there? _____
53 Answer:
Select the equation that solves this problem:
Eleven coins (dimes and quarters) are worth 170 cents. How many dimes
are there?
a. 10d + 25(11 - d) = 170
b. 10d + 25(8 - d) = 170
c. 10d + 5(8 - d) = 60
d. 10d + 5(11 - d) = 60
54 Answer:
Solve: Eleven coins (dimes and quarters) are worth 170 cents. How many
dimes are there? _____
Look at the image below.
7
5
4
What is the area of the triangle?
Step-by-step explanation:
the area of a triangle is always
baseline × height / 2
where baseline and height are perpendicular (with a 90° angle) to each other.
it does not matter, if the height is inside or outside of the triangle.
so, in our case the area is
4×5/2 = 2×5 = 10 units²
The area of the triangle given in the figure is 10 units².
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given a triangle.
The formula to find the area of the triangle is,
Area = 1/2 × base × height
Base = 4 units
Height = 5 units
Area of the triangle = 1/2 × 4 × 5
= 10 units²
Hence the area of the triangle is 10 units².
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