Answer:
30.8 degrees
Step-by-step explanation:
cosx = [tex]\frac{8.5}{9.9}[/tex]
x= [tex]cos^{-1}[/tex][tex]\frac{8.5}{9.9}[/tex]
= 30.8 degrees (nearest tenth of a degree)
A laundry basket contains 15 socks, of which 5 are yellow.
What is the probability that a randomly selected sock will be yellow?
Write your answer as a fraction or whole number.
Answer:
5/15
Step-by-step explanation:
Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)
Answer:
1/3
Step-by-step explanation:
Take the total number of socks and compare it to the number of yellow socks. 15 and 5. Now divide the total by the specified group (yellow socks), by doing so, you get 3.
Every 1 in 3 socks is yellow, meaning the chance of picking a yellow sock at random is 1/3.
Calculate the sum of the first 20 terms of an arithmetic sequence with the 3rd term 8 and the 8th term 143.
Answer:
4670
Step-by-step explanation:
that is the workings above
If the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.
What is arithmetic progression?Arithmetic progression is a sequence in which all the terms have equal differences. Nth term will be a+(n-1)d in which a is first term, d is difference and n is number of term.
How to calculate sum?We have been given that third term is 8 and eight term is 143 and we have to calculate the sum of first 20 terms.
[tex]A_{3}[/tex]=a+(3-1)d
8=a+2d-----1
[tex]A_{8}[/tex]=a+(8-1)d
143=a+7d---2
Subtract equation 1 from equation 2.
a+7d-a-2d=143-8
5d=135
d=27
Put the value of d in equation 1.
a+2d=8
a+2*27=8
a+54=8
a=-46
We know that,
[tex]S_{n}[/tex]=n/2[2a+(n-1)d]
=20/2[2*(-46)+(20-1)*27]
=10(-92+19*27)
=10(-92+513)
=10*421
=4210
Hence if the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.
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Complete the transformations below.
Then enter the final coordinates of the figure.
A
(2,4)
B
A” ([?], [])
15,2) B" ([], [])
C" ([], 1)
C(3,1)
1) <-3, -2>
2) Dilate K = 4
Enter
will give brainliest
Answer:
[tex]A(2,4)<-3,-2)A'(-1,2)>A''(-4,8)[/tex]
[tex]B)(5,2)-> B'(2,0)->B''(8,0)[/tex]
[tex]C(3,1)->C'(0,-1)->C''(0,-4)[/tex]
[tex](x,y)->(x-3,y-2)->([(x-3)*4],[(y-2)*4])[/tex]
-------------------------hope it helps...have a great day!!What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
X
12
D 4 B
A. 3.1
O
B. 12
C. 6.9
O D. 4
Answer:
O A. 3.1
Step-by-step explanation:
it's correct if I'm rwong (*´ω`*)
Answer: The answer is C. 6.9
Step-by-step explanation:
Jessie has three one-gallon containers. The first one has 1/5 of a gallon of juice, the second has 1/5 gallon of juice and the third has 1/5 gallons of juice. How many total gallons of juice does Jesse have?
What is the perimeter of an isosceles triangle with one side that
measures 5 ft. and two sides that measure 11 ft. each?
Can anyone help me with this problem
9514 1404 393
Answer:
8. A = {Delaware, New Jersey, Pennsylvania}
9. |B| = 3
Step-by-step explanation:
8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:
A = {Delaware, New Jersey, Pennsylvania}
__
9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.
|B| = 3
Math Escape Level 3 plz hurry it is due to today bestie
Answer:
1
Step-by-step explanation:
x-9=-8
x=-8+9
x=1
The Pentagon's ABCDE & PQRST are similar find the length X of QR
Please help I will give 50 points and give branliest!!!!
Answer:
x = 3.2
Step-by-step explanation:
Since they are similar the ratio of the side lengths must be the same
Using the bottom side and the unknown side from the left figure and the right figure
5 4
----- = --------
4 x
Using cross products
5x = 4*4
5x = 16
Divide by 5
x = 16/5
x =3.2
A sphere p has a volume of 75 cm cube. Find the volume of a sphere whose radius is twice the radius of p
Answer:
https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate
find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).
A=1/2 bh; solve for b
I need help anyone help me with this
Answer:
b=2A/h
Step-by-step explanation:
[tex]A = \frac{1}{2} bh \\ \\ \therefore \: 2 A = bh \\ \\ \therefore \: b = \frac{2 A}{h} [/tex]
Answer:
b = 2A/h
Step-by-step explanation:
To isolate b, you should first "get rid" of the 1/2. The best way to do this to multiply both sides of the equation by 2. The left side becomes 2A, while the right becomes bh (1/2 multiplied by its reciprocal, 2, becomes 1). Next, you have to move the h to the left side, and you could do so by dividing both sides by h. The left side becomes 2A/h, and the right is just b by itself, getting you b = 2A/h.
Juanita is decorating for a birthday party. She buys more than 30 balloons and attaches 6 of them to the chair for the birthday girl. She also wants to attach balloons to each of the 4 tables, with the same number of balloons at each table. If n represents the number of balloons at each table, this situation can be represented by the inequality 6 + 4n > 30. What does the solution to this inequality represent? A. She must attach fewer than 6 balloons to each table. B. She can attach more than 6 balloons to each table. C. She must attach fewer than 9 balloons to each table. D. She can attach more than 9 balloons to each table
HOW CAN STATISTICS BE USED TO COMPARE DATA SETS?
Answer:
i don't think you can compare statistics to data sets.
Step-by-step explanation:
Answer:
It can by being compared by using averages, box plots, the interquartile range and standard deviation.
You're welcome.
Consider polynomials P and Q.
P= 8y4 + 6y3 +8y
Q= (5y2 - 4y) (3y2 + 7)
Which operation results in an expression equivalent to 23y4 - 6y3 + 35y2 - 20y?
A. PQ
B. P +Q
C. Q - P
D. P - Q
please help!!!!!!!!!!
Answer:
y - 2 = 0
Step-by-step explanation:
find slope first:
(2-2)/(5+1) = 0/6 or 0
now use 'y=mx+b' to find the y-intercept (the 'b'):
2 = 0(5) + b
2 = b
so, in slope-intercept form, the equation is:
y = 2
but, in standard form, the equation is:
y - 2 = 0
What is the value of f(-4)
Answer:
the correct answer is 10
Step-by-step explanation:
Find the focus of the parabola whose equation is y=1/8 x^2
Answer:
The focus is: [tex](0,2)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{1}{8}x^2[/tex]
Required
Determine the focus
The focus of a parabola
[tex](x- h)^2 = 4p(y - k)[/tex]
is:
[tex](h,k+p)[/tex]
So, we have:
[tex]y = \frac{1}{8}x^2[/tex]
Cross multiply
[tex]8y = x^2[/tex]
Rewrite as:
[tex]x^2 = 8y[/tex]
Rewrite as:
[tex](x - 0)^2 = 8(y - 0)[/tex]
Express 8 as 4 * 2
[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]
By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]
[tex]h = 0[/tex] [tex]p =2[/tex] [tex]k = 0[/tex]
So, the focus [tex](h,k+p)[/tex] is:
[tex](h,k+p) = (0,0+2)[/tex]
[tex](h,k+p) = (0,2)[/tex]
A carpenter is designing rectangular picture frames to sell at a local craft fair. The frames will be made of wood with a uniform width around the picture, and each frame will have an opening for a 5-inch by 7-inch picture.
Quieres un chocolate?
Please help reply correctly in Spanish
Answer:
sí, (yo) quiero un chocolate
The mean of eight numbers is 41. The mean of two of the numbers is 29. What is the mean of the other six numbers
Answer:
45
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 8 numbers is 41 , then
[tex]\frac{sum}{8}[/tex] = 41 ( multiply both sides by 8 )
sum of 8 numbers = 328
Given the mean of 2 numbers is 29 , then
[tex]\frac{sum}{2}[/tex] = 29 ( multiply both sides by 2 )
sum of 2 numbers = 58
The sum of the remaining 6 numbers = 328 - 58 = 270 , so
mean = [tex]\frac{270}{6}[/tex] = 45
The mean of the other 6 numbers = 45
Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.
Kite A B C D on a coordinate plane with coordinates A 3 comma 5, B 1 comma 3, C 3 comma negative 1, and D 5 comma 3.
11.3 units
14.6 units
17.4 units
56.0 units
Answer:
14.6 units
Step-by-step explanation:
AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]
AB =[tex]\sqrt{8}[/tex]
BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]
CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]
DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]
Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]
Help me please I don’t understand
=========================================
Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
What is the answer to this??
Answer:
C
Step-by-step explanation:
What is the perimeter of ABC?
Perimeter = ___ units.
Answer:
12 units
Step-by-step explanation:
From the given figure,
AB=4 units & BC=3 units
By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]
Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]
Thus, AC=5 units
Now, perimeter of triangle is equal to the sum of all sides.
Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units
A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
to choose from, and 15 students, how many different ways could the committee be
made?
Answer:
54,600 ways
Step-by-step explanation:
i hope you understand this
Look at the triangle below which of the following represents two of the angle measures of the triangle
Answer:
C. 60° and 80°
Step-by-step explanation:
Sum of triangle = 180°
Therefore,
8x + 4 + 6x - 2 + 10x + 10 = 180
Add like terms
8x + 6x + 10x + 4 - 2 + 10 = 180
24x + 12 = 180
24x = 180 - 12
24x = 168
x = 168/24
x = 7
Find each measure of the angles by substitute x = 7 into each expression
8x + 4 = 8(7) + 4 = 60°
6x - 2 = 6(7) - 2 = 40°
10x + 10 = 10(7) + 10 = 80°
The answer is 60° and 80°
tan(pi/2)=_
A. -1
B. 0
C. 1
D. Undefined
AP3X
Answer:
I don't know the answer
Step-by-step explanation:
c.1
Candace invests $636 in an investment that pays 7% interest compounded quarterly. What is her annual effective yield? Input answer as a percentage to two decimal places.
Answer:
7.19%
Step-by-step explanation:
let i be the effective rate
[tex](1+\frac{.07}{4})^4=(1+i)\\.071859031[/tex]
The annual effective yield will be 7.19% for the investment.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Given that Candace invests $636 in an investment that pays 7% interest compounded quarterly.
The annual effective yield will be calculated as below:-
[ ( 1 + ( 0.07 / 4 )⁴ ] = ( 1 + i)
Solve the equation:-
i = 0.0718
i = 0.0718 x 100 = 7.19%
Therefore, the annual effective yield will be 7.19% for the investment.
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If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Step-by-step explanation:
Math is a language
say you plant two posts that are 5ft apart and you want to get up to 60ft
right now you've covered 5ft and now have 60 - 5 = 55ft to go.
you plant the next one: 55 - 5 = 50ft to go
instead of subtracting many times and counting hiw many times we've subtracted, we can use division
60ft / 5ft = 12 posts
to verify, you can multiply 5 and 12 which is the same as adding 5 + 5 + 5 + 5 +... + 5 = 5ft x 12 Posts= 60ft in total length
There are 12 posts for 60 feet of straight line fence.
Here,
Given that,
Post are space 5 feet apart.
We have to find number of posts for 60 feet of straight line fence.
What is Division method?
This method of distributing a group of things into equal parts is termed as division.
Now,
We can division method to find number of posts for 60 feet of straight line fence.
Here, Post are space 5 feet apart.
Number of posts = [tex]\frac{60}{5} = 12[/tex]
Hence, There are 12 posts for 60 feet of straight line fence.
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Help plzzz and no links plz and thank you
Answer:
It's B, Points a and f. -5 and 5