[tex]~~~~\sec\left(y+\dfrac{\pi}2 \right) = -2\\\\\\\implies \left[\cos \left( y+ \dfrac{\pi}2 \right) \right]^{-1} = -2\\\\\\\implies \left( \cos y \cos \dfrac{\pi}2 -\sin y \sin \dfrac{\pi}2 \right)^{-1} =-2\\\\\\\implies \left(0- \sin y \right)^{-1} =-2\\\\\\\implies \left(-\sin y \right)^{-1} = -2\\\\\\\implies \sin y = \dfrac 12\\\\\\\implies y = n\pi + (-1)^{n} \dfrac{\pi}6\\\\\text{In the interval, }~(0,\pi)\\\\\\y= \dfrac{\pi}6, ~\dfrac{5\pi}6[/tex]
What is the area of a square enclosure that uses 320 meters of fencing?
Answer:
A = 6400 m²
Step-by-step explanation:
the sides s of a square are congruent , then
s = 320 ÷ 4 = 80 m
tahe area (A) of a square is calculated as
A = s² = 80² = 6400 m²
The required area of square, having side 80 meters, is 6400 square meters.
What is square ?A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees.
Given that,
The length of fencing enclosure a square = 320 meters,
Let the side of the square is a meter,
According to given condition, perimeter of square,
4a = 320
a = 80
Since, the area of square having side a, is a²
Area = a²
Area = (80²)
Area = 6400 square meters.
The area of square, having side 80, is 6400 square meters.
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Which statements are correct? check all that apply. more 7th graders were surveyed than 8th graders. the marginal relative frequency for action movies is 44%. the joint relative frequency for 8th graders who like comedy movies is 16%. most students prefer drama movies. half of the 7th graders prefer action movies.
The true statements from the given information are:
b. the marginal relative frequency for action movies is 44%. c. the joint relative frequency for 8th graders who like comedy movies is 16%.How to determine true statement?From the two-way frequency table of the dataset, we have the following highlights
Action movie marginal frequency = 44%8th graders that like comedy movies joint relative frequency = 16%From the above highlight, we can conclude that options (b) and (c) are correct
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Answer:
B, C, E on edge2022
Step-by-step explanation:
The mean of 4, 10, 3, 6, a, 9 and 10 is 7, find the value
of a
Answer:
The value of a is 7.
Step-by-step explanation:
To calculate mean, add all of the numbers in the set and divide by the number of terms in said set. There are 7 numbers in this set, so the equation can be set up as follows.
(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7
Simplify the terms on the top.
(42 + a)/7 = 7
Multiply both sides by 7.
42 + a = 49
Subtract both sides by 42.
a = 7.
Proof:
(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7
Substitute variable.
(4 + 10 + 3 + 6 + 7 + 9 + 10)/7 = 7
Add in the parenthesis.
49/7 = 7
Divide.
7 = 7.
What is the percent of increase from 26 to 91?
Answer:
250
Step-by-step explanation:
If (8,b) Is a solution to the equation represented by the graph below, what is the value b?
Answer:
b= -18
Step-by-step explanation:
See attached image.
Formulate the equation for the line by calculation the slope and adding the y-intercept, as shown. The y-intercept if the value of y when x = 0. The equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept. Note that this b is not the same b in the question (8,b). The b in the question may be calculated once the equation is found: y = -3x+6, where -3 is the slope and 6 is the y-intercept (0,6).
Use x = 8 in this equation. y = -3(8)+6, y = -18
The point is (8,-18), so b is -18.
Which summation formula represents the series below?
5 + 7 + 9 + 11
Answer:
Value = 5 + 2n, where in is the sequence number, starting with n = 0.
Step-by-step explanation:
The sequence is predicted by adding 2 for each step. The formula for the number at point n is given by 5+2n, starting with n = 0:
n Value
0 5
1 7
2 9
3 11
4 13
5 15
6 17
7 19
8 21
9 23
10 25
What is the equation of the line that passes through the point (-5,4)
and has a slope of 3/5?
Answer:
y=3/5x-7
Step-by-step explanation:
hope this helps
G.C.A.2 worksheet 5
(9×10^2)+(4×10^3)
give your anwser in standard form
Answer:
4.9 × [tex]10^3[/tex]
Step-by-step explanation:
Start by doing what is in the paranthesis from right to left.
[tex]9 * 10^2 = 900[/tex]
and
[tex]4 * 10^3 = 4000[/tex]
So if we add them we get:
[tex]900 + 4000 = 4900[/tex]
Now to put it into standard form we just put a decimal to the right of the first number and see how many times we need to move right in order to make the number. In this case it's 3 times so we tack on × [tex]10^3[/tex]
So our answer is:
[tex]4.9[/tex] × [tex]10^3[/tex]
What is the surface area
Answer:
144 is the surface area
Step-by-step explanation:
Multiply 5 x 8 for the 3 rectangles. You will get an answer of 40. 40 x 3 is 120. For the 2 triangles you multiply 6 x 4 divided by 2 times 2 which is 24 lol. 120 + 24 = 144.
Is probability and statistics part of algebra? Thank you and have a good day! :D
Answer:
Both probability and statistics are considered to be part of algebra due to the fact that they both deal with equations and variables. Also last semester I had Algebra II with statistics and we dealt with probability & statistics.
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer:
Both probability and statistics can be considered to be part of algebra as they deal with equations and variables.
Probability and statistics are related areas of mathematics that concern themselves with analyzing the relative frequency of events.
Step-by-step explanation:
which is equivalent to 12
5x?
A. -12x + 5
B.
-5x + 12
C.
5.x 12
• D. 12x 5
Answer:
-5x+12
Step-by-step explanation:
12 -5x
We can use the communitive property of addition to change the order.
The minus sign stays with the 5x
-5x+12
pls help what is the circumstance of a circle with a diameter of 8 feet? Use 3.14 for n
Answer:
D. 25.12 feet
Step-by-step explanation: C= r(pi)^2
What is the circumference of the following circle? or r=5
Answer: [tex]C=31.4[/tex]
Step-by-step explanation: When you are finding the circumference of a circle you use the formula
[tex]C=2\pi r[/tex]
[tex]C=2*3.14 *5[/tex]
[tex]C=31.4[/tex]
Find the distance between C & D.
C = (6,-5) and D = (-1, -4)
(please show work)
Answer:7.0711
Step-by-step explanation:
Please help! Easy for everyone but me for some reason.
What's the value of x? Show your work.
Answer:
x = 9
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + 6² = ([tex]\sqrt{117}[/tex] )²
x² + 36 = 117 ( subtract 36 from both sides )
x² = 81 ( take square root of both sides )
x = [tex]\sqrt{81}[/tex] = 9
What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 inclusive, but not using the digit 0 as the first character of the password? a. 39 b. 900 c. 399 d. 9000
9000 ways to create 4-digit passwords using digits from 0 to 9 that the first character can't be 0, but not using the digit 0 as the first character.
We have to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
Here we have 4 selections.
Now let's find the number of options for each of these:
First character = 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Second character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Third character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Fourth character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
The total number of different combinations is just the product of these 4 numbers:
C = 9×10×10×10 = 9,000
So, we can conclude that the correct option is D.
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Answer:
d
Step-by-step explanation:
trust
Find the total balance of each investment account earning simple annual interest. A: $624 at 5% for 3 years
$93. 60
B: $4,120 at 7% for 18 months
$432. 60
C: $900 at 3. 1% for 6 months
D: $275 at 4. 8% for 8 years
$105. 60
Answer:
the answer is A because if the interest is equal to 624×5×3÷100 which would give us 93.60
but for the rest the when you solve it you won't get the same answer below it
A box contains 20 balls, of which are white. If the probability of selecting a non-white
ball at random is 3/5
. Find the value of x
Answer:
if a box contains 20 balls in which all are white then the probability of selecting non white is 0
i need help please
find the 7th term
3, 1,1/3
The sequence 3, 1,1/3 is a geometric sequence
The 7th term of the sequence is 1/243
How to determine the 7th term?The sequence is given as:
3, 1,1/3
The above sequence is a geometric sequence with the following parameters:
First term, a= 3Common ratio, r = 1/3The nth term is then calculated as:
Tn = ar^(n-1)
So, the 7th term is:
T7 = ar^6
Substitute known values
T7 = 3 * (1/3)^6
This gives
T7 = 1/3^5
Evaluate
T7 = 1/243
Hence, the 7th term of the sequence is 1/243
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15. Which three lengths could be the lengths of the sides of a triangle?
Step-by-step explanation:
11 cm, 6 cm, 17 cm
Answer::
11cm, 6cm, 17cm
step by step explanation:
the correct answer is 11cm 6cm and 17cm
because in a right angled triangle, the square of the hypothenus is equal to the square of the sum of the other two sides
hypothenus= 17cm other two sides=11cm and 6cm
5. Which deal is the better deal
Answer:
THE 18 oz CONE IS BETTER VALUE, AS YOU GET MORE FOR A CHEAPER PRICE.
Step-by-step explanation:
work out the worth for 1oz of each ice cream cone.
$6.60 / 18 = 0.37 (to 1 decimal place)
$4.75 / 12= 0.40 ( to 1 decimal place)
Hello im in the 8th grade, and it is coming to the end of the year, i want to make my auntie proud. the rest of my grades are an A+ but i have a C in math, i really need help because not only will it help me get into a better college it will make me successful with my business that i want to have, if anybody is willing to help me go through assignments and raise the grades i have on those to raise my full grade it will mean alot to me please.. Comment if your willing too. Please help.
Answer:
if you use math way it gives you simple answers im in 11th grade math and it works wonders also you dont get a GPA untill you reach highschool so tbh math in middleschool and junior high doesnt rlly count yk and there is also a no child left behind act in 42 states so you wont have to repeat the grade unless your parents want you to repeat the grade but one class wont make you reapeat the grade
Step-by-step explanation:
Answer:
Hello, I am sure your aunt is already proud of you! If you need help I am willing to do so. Do not try to overwork yourself math is hard. Just do your best and you will succeed. Do worry about your C anyways because colleges normally do not look at grades from 8th. It usually starts in the 9th grade. Just keep doing your best and keep your head high. You will do great things!
Step-by-step explanation:
HELP URGENT
find angle CAB
a. 32
b. 26
c. 64
d. 58
Answer:
b. 26°Step-by-step explanation:
ABE is tangent to the circle then m∡OBE = m∡OBD = 90
Then m∡OBD = 90 - 58 = 32
In the triangle DAB :
m∡CAB = m∡DAB = 180 - [m∡BDA + (m∡DBA)]
= 180 - [ 32 + (90 + 32)]
= 180 - [ 32 + ( 122) ]
= 180 - [ 154 ]
= 26
Answer:
B) 26°
Step-by-step explanation:
Finding ∠OBD
∠OBA = ∠OBE = 90° [tangent to the circle]∠OBE - 58° = ∠OBD∠OBD = 90° - 58°∠OBD = 32°Then, ∠ADB = ∠OBD = 32° (angles opposing equal sides OB and OD, both of which are radii of the circle.
Finding ∠CAB
∠CAB + ∠ADB + ∠OBD + ∠OBA = 180° [Angle Sum Property]∠CAB + 32° + 32° + 90° = 180°∠CAB + 154° = 180°∠CAB = 26°i am really confused.
C = 81.68 to 2 decimal place
C= pi x diameter
= pi x 26
= 26 pi
= 81.6814.....
13 x 2 =26
Hope this helps!
Write an inequality for the given graph! Please help!
Answer:
y < 1/2 x - 3
Step-by-step explanation:
The line crosses the y-axis (up and down numbered axis) at -3. That's the - 3 in the equation. If you look very carefully, closely, you can see that the line, from there, goes UP1 and OVER2 to get to the next point (and the next point and the next point) This is the slope, it goes in front of the x, here it is UP1 and OVER2 and is written 1/2.
The line is dashed so the symbol is < "less than" WITHOUT the line mark underneath it; also because the shading is BELOW the dashed line we use < "less than" and not > "greater than"
Which of the following shows an equivalent expression to
[(5-3). 12) if only the associative property was used to transform the expression?
А
[5. (3.12)]
(В
[(5.12). 3)
C
[(3.5). 12]
Answer: A. [5 * (3 * 12)]
Step-by-step explanation:
The associative property states that "the way in which factors are grouped in a multiplication problem does not change the product" (Oxford Languages).
Using this definition, we can see the only option that correctly uses the associate property is option A.
[5 * (3 * 12)]
Can cubic units measure temperature?
Answer:
No because Temperature is measured in Kelvins
Step-by-step explanation:
Three points representing the corners of a rectangular garden are A (-7, 3), B (7, 3) and C (7, -3). How could you use the coordinate plane below to find the coordinates of the fourth corner, point D? What are the coordinates of the point?
Answer:
Point d's corrdinates are (-7, -3). You can use the coordinate grid to find it out by graphing the others first and then find the missing one based on the sides
Step-by-step explanation:
What is the following sum4/5+2/5
Answer:
6/5 or 1 1/5
Edit:
soo
[tex]4\sqrt{5} + 2\sqrt{5}[/tex] = [tex]6\sqrt{5}[/tex]
since they both are being multipled to the square root of 5, you can just add them (i think)
Step-by-step explanation:
6 times the square root of 5
you add 4 and 2