Answer:
tan theta = root3/3
see image
Step-by-step explanation:
The tangent is y/x in the unit circle. Use Keep-Change-Flip to simplify. See image. You also cannot leave a radical (square root) on the bottom of a fraction, so we need to "fix" that also. Multiply to rationalize (the "fix") see image.
Are the given vectors normal? a = < 5 , − 2 > and b = < 6 , 15 > Equation editor does not include the grouping symbols " < " and " > " that are necessary for writing a vector in component form. For this question, use braces to write a vector in component form. For example, the vector < 2 , 3 > should be written as { 2 , 3 } .
Answer:
Yes.
Step-by-step explanation:
Yes. They are normal
Which inequality does this graph show? LOOK AR PIC PLS ANSWER FAST
Answer:
D.
Step-by-step explanation:
1) if the points (1;-1) and (4;0) belong to the line, then
2) the equation of this line is 3y-x=-4;
3) the inequality is 3y-x≤-4.
PLEASE HELP ASAP LOOK AT PICTURE!!!
Describe and correct the error in the given statement: The relation (1,-5), (2,-5), (3,6), (4,11) is not a function because the inputs 1 and 2 are both paired with the output -5.
Answer:
15-5+38+8+595+2+8+6+9+7-5+29-8+8-5-5+2+8+3+9
Find the slope of the line that
passes through (4, 7) and (2, 10).
Simplify your answer and write it
as a proper fraction, improper
fraction, or integer.
Clare asks Andre to play the following number puzzle:
Pick a number
Add 2
Multiply by 3
Subtract 7
Add your original number
Andre’s final result is 27.
Which number did he start with?
Answer:
The answer is 7.
Step-by-step explanation:
7 + 2 is 9.
9 x 3 =27
27 - 7 =20.
Since the original number is 7 then we add 7 to 20.
7 + 20 = 27.
So, the number he started with is 7.
√2(3+3√2) Needs to be simplified down
Answer:
Exact Form:3√2+6
Decimal Form:
10.24264068…
Step-by-step explanation:
show how
4
×
3
4
4
×
3
4
can be solved using multiplication and division.
Answer:
46784
Step-by-step explanation:
You would multiply all.the numbers and then your w
answer will be 46784
First drop down : 1. Cylinder 2.sphere
Second drop down: 1.divide by 2
2. Divide by 4
3.multiply by w2
Third drop down: 85
100
70
Answer:
Below.
Step-by-step explanation:
To find the volume of the silo find the volum of the hemisphere with radius of 15 feet and add the volume of the cylinder with a radius of 15 feet and a height of (100 - 15) = 85 feet.
The total volume = 1/2 * 4/3 π (15)^3 + π (15)^2 * 85
= 67151.5 ft^3.
Step-by-step explanation:
find the volume of a sphere with a radius of 15 ft and divide by 2 (because there is only half a sphere on top of the silo).
then add the volume of a cylinder with a radius of 15 ft and a height of 85 ft (because we need to deduct the radius of the sphere from the total height to get the height of the cylinder itself).
Students in Mrs. Anderson’s health class are learning about how exercise affects your heart rate. Twelve students ran around the school track for different lengths of time. Then they measured their heart rates in beats per minute. Heart Rate Record Minutes Heart Rate (bpm) 7 121 8 136 7 122 4 96 3 90 6 120 7 118 4 98 2 84 5 110 7 118 8 128 Find the correlation coefficient of the data. Round to the nearest hundredth
Answer:
While resting, his heart rate is at 60 bpm. After sprinting, his heart rate is at 130bmp. The difference is 130 - 60 = 70
Step-by-step explanation:
i hope this helps
The correlation coefficient of the given data about time and heart rates is 0.98.
What is correlation coefficient?A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable expect change to the value of another.
How to calculate correlation coefficient?We have been given time and heart rates of students in Mrs. Anderson's health class and we have to find the value of correlation coefficient.
The formula by Karl Pearson to calculate correlation coefficient is as under:
Correlation coefficient=
=∑(x-x bar)(y-y bar)/[tex]\sqrt{sum(x-x bar)^{2} } \sqrt{sum(y-y bar)^{2} }[/tex]
We have to calculate figures required to fill in the formula which are:
∑(x-x bar)(y-y bar)=350
∑[tex](x-x bar)^{2}[/tex]=44.67
∑[tex](y-y bar)^{2}[/tex]=2872.25
Correlation coefficient=350/[tex]\sqrt{44.67} \sqrt{2872.25}[/tex]
=350/6.68*53.59
=350/357.98
=0.977
After rounding off to nearest hundred it will be 0.98.
Hence the correlation coefficient of the data about time and heart rate is 0.98.
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.that bar of chocolate was divided into squares. i ate 1/12 of it, then headed downstairs. the next day i ate another 1/12 , then another 1/3. i couldn't help myself. what fraction was left?
Answer:
1/2 of the bar is left
Step-by-step explanation:
1/12 x2= 2/12
2/12+ 1/3=2/12+4/12
6/12=1/2
A teacher is 15 y.o. older than her student. In 15 years, the ratio of their ages will be 3:2. Find their present ages
Answer:
teacher's age: 30
student's age: 15
Step-by-step explanation:
T = 15 + S
from above,
(T+15)/(s+15) = 3/2
by substitution,
(15+S +15)/(S+15) = 3/2
cross multiply,
2(S+30) = 3(S+15)
2S + 60 = 3S + 45
60 = S + 45
s = 15
T = 30
Find the volume of a pyramid with a square base, where the perimeter of the base is 14 m and the height of the pyramid is 8.8 m. Round your answer to the nearest tenth of a cubic meter.
The volume of the pyramid with a square base, where the perimeter of the base is 14 m and the height of the pyramid is 8.8 m is 35.9 m³
How do i determine the volume of the pyramid?First, we shall determine the determine the area of the square base. This is shown below:
Perimeter of square (P) = 14 mArea of the square base (A) = ?P = 4L
14 = 4L
Divide both sides by 4
L = 14 / 4
L = 3.5 m
Now, the area is obtained as follow
A = L²
A = 3.5²
A = 12.25 m²
Finally, we shall determine the volume of the pyramid. Details below:
Area of the square base (A) = 12.25 m²Height of pyramid (h) = 8.8 mVolume of pyramid (V) = ?V = ⅓Ah
V = ⅓ × 12.25 × 8.8
V = 35.9 m³
Thus, we can conclude that the volume of the pyramid is 35.9 m³
Learn more about volume of pyramid:
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The volumes of two similar cylinders have a ratio of 27:64. The area of the base of the smaller cylinder is 18in
What is the area of the base of the larger cylinder?
Enter your answer in the box.
100 Points!!!! Please help, Will Mark BRAINLIEST!!!!!!
Answer:
Part A: No. Based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means pratically no corrlation, while the points on the graph are moderately correlatedPart B: you must describe a scenary where a variable is the cause of the number of strawberries picked. See below, the example of rainfall.
Explanation:
1. Part A:
Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.
The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to 1.
r = - 1 is a perfect negative correlation: the points will adjust perfectly to a line with negative slope.r = + 1 is a perfect positive correlation: the points will ajdust perfectrly to a line with positive slope.r = 0 means that the variables are not correlated at all.
Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.
Therefore, the calculated value of r = 0.01 is not accurate for t his scatter plot.
2. Part B.
A causal relationship means that the expllanatory variable (the independent variable) is the cause of the dependent variable.
Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.
I could imagine the amount of rainfall the week before of harvest.
Thus, the scenario could be:
Amout of rainfall in mm (x) Number of strawberries picked (y)
100 20
50 40
25 80
12.5 160
6.25 320
The amount of rainfall is the cause of the number of strawberries picked, and you could find a model (function) that relates both variables.
who can answer this help me bro/sis?
Answer: 144 degrees, 136 degrees
Question 1:
The first x should be 144 because a straight line should equal 180, so you just subtract the (left angle or 36 degrees) with 180 to get the opposite angle.
Question 2:
For the second x, add the 2 interior angles and subtract it by 180 or the total sum of the interior angles.
49 + 87 = 136
180 - 136 = 44
Then follow the same steps in the first question.
180 - 44 = 136
Kevin ours more than emily each time they work together. Using this information, complete the table
Sorry for bad quality
Answer:
i believe the last one would be 9 for the number of hours kevin works.
Step-by-step explanation:
Select the expression that simplifies to a value of 6.
2×5−23+3
53÷5×2−2
6+22×6÷3
33÷3×2÷3
Which of the scatter plots below shows the most accurate line of best fit?
A. Z
B. X
C. W
D. Y
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
solve for z: -42z^2 = 14z
[tex]\\ \rm\Rrightarrow -42z^2=14z[/tex]
[tex]\\ \rm\Rrightarrow 42z^2=-14z[/tex]
[tex]\\ \rm\Rrightarrow 3z^2=-z[/tex]
[tex]\\ \rm\Rrightarrow 3z=-1[/tex]
[tex]\\ \rm\Rrightarrow z=-1/3[/tex]
Another root is 0Answer:
[tex] - \frac{844}{29} z[/tex]
Step-by-step explanation:
I hope to help
1. Two numbers have a product of 12 but their sum is -7 what are the numbers.
2. The sum of two numbers is 1 but their product is -30 what are the numbers.
Answer:
1. (-3) and (-4)
2. (-5) and 6; vise versa
Answer:
Step-by-step explanation:
hello :
1)Two numbers have a product of 12 but their sum is -7 :
means : xy=12 ....(*)
x+y = -7 ....(**)
solve this system : use (**) you have x = -y-7 put this value in (*)
so : (-y-7)y = 12
-y²-7y-12 = 0
y² +7y+12=0 a=1 b=7 and c= 12
the discriminant delta =b²-4ac delta = 7²-4(1)(12) = 1
y1 = (-7-1)/2 = -4 and y2 = (-7+1)/2 =-3
but x= -7-y
if :y = - 4 x= -7-(-4) =-3
if : y=-3 x = -7-(-3) =-4
2) same method : xy=-30
x+y=1
NEED HELP NOW!!!!!!!
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
the baseline (where the height hits at a 90° angle) is 4 m.
the height is 3.7 m.
so, the area is
4 × 3.7 / 2 = 2 × 3.7 = 7.4 m²
what is the sum of 1 To 101 only positive integers pease fast
Answer:
5050
Step-by-step explanation:
sum of first n natural num. = [n(n+1)]/2
sum of first 100 natural num. = (100x101)/2 = 5050
Answer : The sum of 1 to 101 positive integer is 5050
5052 will be sum of 1 to 101 only positive integer
can i have help with this
Answer:
Option D
Step-by-step explanation:
Square:
Side = 25 ft
Area of square = side * side
= 25*25
= 625 square ft
Area of semicircle:
diameter = 25 ft
r = 25/2 = 12.5 ft
[tex]\boxed{\text{Area of semicircle =$ \dfrac{\pi r^{2}}{2} $}}[/tex]
[tex]=\dfrac{3.14 * 12.5*12.5}{2}\\\\\\= 245.3 \ square \ ft[/tex]
Area of the shaded region = area of square - area of semicircle
= 625 - 245.3
= 379.7 square ft
What is the least common denominator for the fractions 1/3 and 1/6
Answer:
least common denominator=6
Step-by-step explanation:
For the fractions, 1/3 and 1/6th, 3*2=6. making the fraction 2/6 and leaving the other the same 1/6th.
For circle h, jn = 3, nk = x, ln = 2, and nm = 6. solve for x. circle h with chords jk and lm intersecting at n inside the circle 9 1 5 4
The circle is an illustration of intersecting chords.
The value of x is 4
How to determine the value of x?The given parameters are:
Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6This means that:
jn * nk = ln * nm
So, we have:
3 * x = 2 * 6
Divide both sides by 3
x = 2 * 2
Evaluate the product
x = 4
Hence, the value of x is 4
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Jonathan is making his favorite pasta dish. His mom ate 2/7 of the pasta, and his brother ate 1/6 of the pasta. How much did they eat in all?
Answer:
23/42
Step-by-step explanation:
2/7 = 12/42
1/6 = 7/42
12/42 + 7/42 = 19/42
42/42 - 19/42 = 23/42
Winston drove 70 mph. If he drives for 3.5 hours how many miles will Winston drive?
I need the answer ASAP
What’s the domain and range?
Answer:
D [-1,3] and R [5,27]
Step-by-step explanation:
I explained the process of finding the domain and range in your previous questions therefore I will only give you the answer for this one.
D [-1,3] or [tex]-1\leq x\leq 3[/tex]
R [5,27] or [tex]5\leq y\leq 27[/tex]