Answer:
√3/2Step-by-step explanation:
Given an angle θ₁ located on in the first quadrant and sinθ₁ = 1/2, we are required to calculate the value of cosθ₁.
Firstly, we need to find the value of the angle θ₁ from the expression sinθ₁ = 1/2.
Given sinθ₁ = 1/2
Take the arcsin of both sides
arcsin(sinθ₁) = arcsin(1/2)
The arcsin will cancel out the sin at the left hand side to have only θ₁. Hence;
θ₁ = arcsin(1/2)
Using the calculator, θ₁ = 30°
Since we are to find the value of cosθ₁
cosθ₁ = cos30°
cos30° = √3/2
Hence the value of cosθ₁ is √3/2
Answer:
60/61
Step-by-step explanation:
60/61
khan. #gayrights
Find the area of ABCD
Answer:
Applying Heron's Formula
[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]
[tex]s_1=7[/tex]
[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]
[tex]A_1=10.56[/tex]
Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]
[tex]s_2=11.49[/tex]
[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]
[tex]A_2=24.69[/tex]
Total Area:
[tex]10.56+24.69[/tex]
[tex]=35.25[/tex]
OAmalOHopeO
To determine the relative effectiveness of different study strategies for the SAT, suppose three groups of students are randomly selected: One group took the SAT without any prior studying; the second group took the SAT after studying on their own from a common study booklet available in the bookstore; and the third group took the SAT after completing a paid summer study session from a private test-prep company. The means and standard deviations of the resulting SAT scores from this hypothetical study are summarized below:
Using the following output:
we can conclude that:
(a) the data provide strong evidence that SAT scores are related to learning strategy.
(b) the data provide strong evidence that SAT scores are related to learning strategy in the following way: The mean SAT score for students who pay for coaching is higher than the mean SAT score for students who study themselves, which in turn is higher than that of students who do not study for the test.
(c) the data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal.
(d) the data do not provide sufficient evidence that SAT scores are related to learning strategy.
(e) Both (a) and (c) are correct.
Answer:
(b) the data provide strong evidence that SAT scores are related to learning strategy in the following way: The mean SAT score for students who pay for coaching is higher than mean SAT score for students who study themselves, which in turn is higher than those students who do not study for test.
(c) The data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal.
Step-by-step explanation:
Relative effectiveness is to study the extent to which an intervention of a thing does more good than harming it when two or more alternative interventions are observed. In the given question the SAT mean score for students who are paying higher for coaching than those student who believe in self study.
Find the least number which must be subrtacted from 5607 as to get a perfect square.
Also find the square root of the perfect square so obtained.
( show the workings )
Answer:
i dont know
Step-by-step explanation:
Answer:
Hello,
Step-by-step explanation:
since
[tex]\sqrt{5607} =74,879903...\\\\Let\ x\ the\ searched\ number\\\\5607-x=74^2\\\\x=5607-5476\\\\\boxed{x=131}\\[/tex]
N tells about in a math question
Answer:
N means Natural Number in Maths
Step-by-step explanation:
N=natural,Z=integer,R=real number
I already found the vertex, but can someone help me find the latus rectum of this parabola?
Answer:
Step-by-step explanation:
y=x²+7
vertex(0,7)
the length of latus rectum in a parabola equal to four times the focal length :
y=x²+7
focus X=-b/2a=0
focus Y=c- (b²-1)/4a=7+1/4=29/4
focus (0 , 29/4)
latus rectum is 29/4
(x-h)^2 = 4p (y-k) 4p is the length of the latus rectum with vertex(0,7)
(0-0)²=4p(29/4-7)
0=29p-28p=1p
the length of the latus rectum is 1
Answer:
1
Step-by-step explanation:
The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.
In y = x^2 +7, the leading coefficient is 1.
latus rectum = 1/|1| = 1
Which statement correctly compares
1–201 and
1512
ol-201 = 151
ol-201 < 51
l-201 > 151
Answer:
Option B.
Step-by-step explanation:
Consider the correct question is "Which statement correctly compares
1. -201 and 151
-201 = 151
-201 < 51
-201 > 151"
The given numbers are -201 and 151. We need to compare these numbers.
We know that all negative numbers are less than positive numbers.
So,
-201 < 151
If both numbers are negative, then the larger negative number is the smaller number.
Therefore, the correct option is B.
1 minus tan square A by 2 by tan + square A by 2 equals to Cos A
Answer:
trerjyhtrwgfdfeqrtgfnerwqdfgfgrqwefgn
Step-by-step explanation:
Determine the minimum rotation (in degrees) which will carry the following figures onto itself (where all sides and verticles will match up). Assume this is a regular polygon. Round to the nearest tenth if necessary.
Answer:
60°
Step-by-step explanation:
A full rotation is 360°. The figure has six sides.
1. Divide
360 ÷ 6 = 60
Each angle of the polygon is 60°. Therefore, the polygon must be rotated at least 60° for the figure to match all sides and vertices.
Find the first four terms of the sequence given by the following.
an=51 + (n-1).8, n=1, 2, 3...
Answer:
Step-by-step explanation:
a1 = 51 + (1 -1 ) * 0.8
a1 = 51
a2 = 51 + (2 - 1)*0.8
a2 = 51 + 0.8
a2 = 51.8
a3 = 51 + (3 - 1)*0.8
a3 = 51 + 2*0.8
a3 = 51 + 1.6
a3 = 52.6
a4 = 51 + (4 - 1)*0.8
a4 = 51 + 2.4
a4 = 53.4
what does |x| mean? like what do the | | 'bars' symbolize or represent?
Answer: Absolute Value
Step-by-step explanation:
The | | is a symbol for absolute value. This signifies that the number inside would be positive. Now, this doesn't mean it will always be a number inside absolute value bars. It can also be expressions.
Examples:
|1|: Even though the number inside is a positive 1, we know that it cannot be negative under any circumstances. The only exception would be if there was a negative sign on the outside of the absolute value.
|-1|: We see that there is a -1 in the absolute value. This means that it is actually a 1, not -1. The absolute value is what makes everything inside positive.
|1-5|: To solve this, we know that 1-5=-4. Without the absolute value, the answer -4 would be correct. In this case, we have absolute value, so the answer is actually 4.
|x+2|: x+2 can easily be negative. This would happen is x was a negative number that is smaller than -2. x+2 can also be positive, but the absolute value guarantees that the ending result must be positive.
determine if the equation is a linear equation -x + 3y^2=18
Answer:
No
Step-by-step explanation:
Linear equations must have no squares, roots, cubes, or any powers. If the graph has an asymptote or any restrictions, it is not a linear function.
A linear function will only appear in either point-slope form or slope-intercept form. These forms will not have square roots or powers in them.
-x + 3y² = 18
We know here that this is not a linear function. But we can try to write it in slope-intercept form:
3y² = x + 18
y² = x/3 + 6
y = √(x/3 + 6)
We can see from here that our graph is a square root function and has a restricted domain (no negative numbers).
Alternatively, we can graph the equation to see if it is a constant line (linear equation) or not. When we do so, we see that it is definitely not a linear function:
find the interest rate r when p = 800, a = 2700, and t = 3.
Answer:
r = 0.5 or 1/2
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)^t
Simply plug in our known variables:
2700 = 800(1 + r)³
Now we solve for r:
Divide both sides by 800
27/8 = (1 + r)³
Take the cube root on both sides
∛27/8 = ∛(1 + r)³
Simplify
3/2 = 1 + r
Subtract 1 on both sides
r = 1/2
r = 0.5
Answer:
For compound interest, 50%.
Step-by-step explanation:
(I'm assuming this question is asking for the compound interest):
The formula for compound interest is given by:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Plug in the values we know. We can use 1 for n:
[tex]2700=800(1+r)^3\\27/8=(1+r)^3\\1+r=\sqrt[3]{27/8}\\r=3/2-1\\r=1/2=.5[/tex]
So, the interest rate is 50%.
Gabby left the mall and drove north. Violet left 2 hours later, driving 18 mph faster to catch up with Gabby. After 3 hours, she caught up with Gabby. Find Gabby's
average speed.
O 45 mph
O 54 mph
O 27 mph
O 36 mph
let the speed of Gabby be S and the speed of violet be S+18
they drove the same distance(d) so d is constant
S*5=(S+18)*3
5s=3S+54
2S=54
S=27mph
(48. PERSEVERE Wha
PERSEVERE What is the greatest number of planes determined using any three of
the points A, B, C, and D if no three points are collinear?
Answer: 4
Step-by-step explanation:
We know that a plane is 2 dimensional surface that extends infinitely far.
The number of points required to define a plane = 3
Here , we have 4 points A, B, C, and D.
So, the number of possible combinations of 3 points to make a plane from 4 points = [tex]C(4,3)[/tex]
[tex]=4[/tex] [ [tex]C(n,n-1)=n[/tex] ]
Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Answer:
Step-by-step explanation:
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Look at this sphere:
If the radius is doubled, then which of the following statements about its surface area will be true?
In the equation for surface area the radius is squared ( r^2)
If the radius is doubled, the radius would be 2^2 more which equals 4
The surface area would be 4 times the old surface area.
Triangle ABC has a height of 8 cm and an area of 42cm².
Calculate the length of BC.
BC must be base
Height=8cmArea=42cm^2We know
[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2} Height\times Base}[/tex]
[tex]\\ \sf\longmapsto 42=\dfrac{1}{2}8BC[/tex]
[tex]\\ \sf\longmapsto 4BC=42[/tex]
[tex]\\ \sf\longmapsto BC=\dfrac{42}{4}[/tex]
[tex]\\ \sf\longmapsto BC=10.5cm[/tex]
BC must be base then
Area: 42cm²
Height: 8cm
Base: BC
1/2 × b × h = 42
1/2 × b × 8 = 42
b = 42/4
b = 21/2
BC = 21/2 or 10 1/2
Or 10.5cm
Must click thanks and mark brainliest
Please answer this question now
Answer:
200 cubic centimeters is the answer :)
Step-by-step explanation:
Math! Need help will give brainliest if CORRECT
Hey there! I'm happy to help!
So we want to see which of these have the greatest value. Since these are all negative numbers, we want the one that is closest to zero.
So, we know that -1000 is going to furthest from 0. -10 will be further than -8 since it is a larger negative number, so it will be more negative than -8.
-1/2 is just barely negative, so it is going to be closer to -0 than -8, so the correct answer is C. -1/2.
Have a wonderful day and keep on learning! :D
Find the coefficient of third term of (2x−1)^6.
240
using pascals trianle
for the power 6 it is
1, 6,15,20, 15,6, 1
and for the third term (2x)^4 and (-1)^2
[tex]15 \times {(2x)}^{4} \times {( - 1)}^{2} [/tex]
[tex]240 {x}^{4} [/tex]
Since only the coefficient is needed
the answer is 240.
The required coefficient of third term is 480.
Coefficient of the third term of (2x−1)^6 to be determine.
Coefficient is defined as the integer present adjacent to the variable.
Here, (2x−1)^6
Using binomial expansion,
Third term = P(6,2)(2x)^6-2(-1)^2
= 6*5*16x^4
= 480x^4
Thus, the required coefficient of third term is 480.
Learn more about coefficient here:
https://brainly.com/question/2507029
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How many times larger is the value of
86,000,000 than 8,600?
Answer:
a 1000 times// just divide them
Answer:
10,000 times Larger
Step-by-step explanation:
To determine the multiple larger for 86,000,000 than 8,600, we simply will use the division operation and the result will be the multiple.
86,000,000 / 8,600 = 10,000
Hence, the number 86,000,000, is 10,000 times larger than 8,600.
Another method is simply to look at the additional zeroes that 86,000,000 has in comparison to 8,600. Since we can see that 86 is the only non-zero digit within the two numbers, we can use the properties of the decimal system to compare. Note that 86,000,000 has 6 zeroes, while 8,600 has two zeros. This means that we will need 4 zeroes as part of our tens multiple, so we can say that 10,000 is the multiple. Once again, we see that 86,000,000 is 10,000 times larger than 8,600.
Cheers.
The distance of the point (5, -1) from the y axis is *
Answer:
5 units
Step-by-step explanation:
draw a horizontal line from the point (5, -1) to the y-axis: y=-1, it hits the y-axis at (0, -1). the distance between the two is 5 units
Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors. She receives a delivery of 444 tons of wood each day. The deliveries can continue for 100100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 210021002100 sailors.
To build the fleet of ships, Astrid must consider each of the given rates (i.e. the daily tons of wood, the sailors per ship, etc.). The available deliveries are enough to build ships that can accommodate at least 2100 sailors.
Given that:
Required quantities
[tex]Wood = 40\ tons[/tex]
[tex]Sailors = 300[/tex] per ship
Available quantities
[tex]Wood = 4\ tons[/tex] daily
[tex]Days = 100[/tex] at most
First, we calculate the total tons of woods Astrid can receive.
[tex]Total = Days \times Wood\ Available[/tex]
[tex]Total = 100 \times 4[/tex]
[tex]Total = 400\ tons[/tex] ---- in 100 days
Next, we calculate the number of ships that can be made from the 400 tons.
[tex]Ships = \frac{Total\ tons}{Wood\ Required}[/tex]
So, we have:
[tex]Ships = \frac{400}{40}[/tex]
[tex]Ships = 10[/tex]
This means that Astrid can build up to 10 ships
The number of sailors the ship can accommodate is:
[tex]Sailors = Ships \times Sailors\ per\ ship[/tex]
So, we have:
[tex]Sailors = 10 \times 300[/tex]
[tex]Sailors = 3000[/tex]
It means the 10 ships can accommodate 3000 sailors.
3000 sailors is greater than 2100 sailors.
So, we can conclude that she can build enough ship for the 2100 sailors.
Read more about
https://brainly.com/question/17174491
Answer:
280 tons
Step-by-step explanation:
:)
What is the product? Two-thirds times eight-ninths
10/27
16/27
Two-thirds
Five-sixths
Answer:
16/27
[tex]\frac{2}{3}[/tex] × [tex]\frac{8}{9}[/tex] = [tex]\frac{16}{27}[/tex]
On the first day in each month, Enid deposited $4 into her bank account and Jim deposited $3 into his. They opened these accounts on May 15, 1990. On December 31, 1990, they each had $72 dollars in their account. How much did each person deposit on May 15?
Answer:
The amount of money in Enid bank account can be written as a linear equation.
Ye = Xe + $4*m
where Ye is the money that Enid has in her account, m is the number of months that have passed since she opened it, and Xe is the initial deposit.
For Jim, the equation is similar:
Yj = Xj + $3*m
where Yj and Xj are similar as above.
Between May 15 and December 31 of the same year, we have 7 months (where i am counting December because the deposit is made in the first day of the month).
Then we have that:
Ye = $72 = Xe + $4*7 = Xe + $28
Xe = $72 - $28 = $44
So in May 15, Enid deposited $44.
For Jim we have:
Yj = $72 = Xj + $3*7 = Xj + $21
Xj = $72 - $21 = $51
So in May 15, Jim deposited $51.
A man borrows $200 000 to buy a sports car. He is charged a simple interest of
2.88% per annum. If the loan is for 7 years, find the
(a) interest payable
(b) amount of each repayment if the total sum is to repaid in 84 equal
installments.
Answer:
See explanation
Step-by-step explanation:
a) 200,000 x .0288 x 7 = 40,320 interest
b) 240,320/84 = $2860.95
Can anyone help me with this please and thank you
Answer:
x=0, 7
Step-by-step explanation:
x^2-3x=4x
x^2-7x=0
x(x-7)=0
x=0 or 7
Answer:
x=0 x=7
Step-by-step explanation:
x^2 -3x = 4x
Subtract 4x from each side
x^2 -3x-4x=0
x^2 -7x = 0
Factor out an x
x(x-7) =0
Using the zero product property
x=0 x-7 =0
x=0 x=7
Find the 2nd term in the sequence. Will give Brainliest.
Answer:
17
Step-by-step explanation:
b(1) = 16
b(2) = b(2-1) +1
= b(1) +1
= 16+1
= 17
How would I solve this? (y-z) ÷ z y=-2 and z=4/5
Answer:
-3.5
Step-by-step explanation:
The problem you have stated is (y-z)/z where y=-2 and z = 4/5. To solve, substitute the values of y and z into the problem. Then, you have (-2-4/5)/4/5. (-2-4/5) simplifies to -14/5 so then you have (-14/5)/4/5. To divide, multiply -14/5 by 5/4 {multiplying by the reciprocal}. That equals -70/20 which is equal to -3.5
Answer:
[tex]\large\boxed{-3.5}[/tex]
Step-by-step explanation:
(y - z) ÷ z y = -2 and z = 4/5
Substitute in the given values for y and z into the equation
(y - z) ÷ z
(-2 - 4/5) ÷ 4/5
Subtract inside the parenthesis (-2 - 4/5)
-2.8 ÷ 4/5
Convert 4/5 into a decimal (in this case that can be done by multiplying both the numerator and denominator by 20)
4/5 = (4 * 20) / (5 * 20) = 80 / 100
80 / 100
Divide numerator and denominator by 10
8/10 = 0.8
Substitute into previous equation
-2.8 ÷ 4/5 = -2.8 ÷ 0.8
Divide
[tex]\large\boxed{-3.5}[/tex]
Hope this helps :)
If the coefficient of determination for a data set containing 24 points is 0.5,
12 of the data points must lie on the regression line for the data set.
A. True
O B. False
SUBMIT
Answer:
False
Step-by-step explanation:
False - one has nothing to do with the other. None of the data points can lie on the regression line,
and you can have the coeff. of determination be 0.5.