9514 1404 393
Answer:
sin(X) = (√119)/12
cos(X) = 5/12
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the relevant ratios.
Sin = Opposite/Hypotenuse
sin(X) = YZ/YX
sin(X) = (√119)/12
__
Cos = Adjacent/Hypotenuse
cos(X) = XZ/XY
cos(X) = 5/12
The first term of an arithmetic sequence is 10 and its
common difference is -3. What is the sum of the first
10 terms of this sequence?
Please hurry! ill give brainliest
Answer:
The sum of the first ten terms is -35.
Step-by-step explanation:
The first term of an arithmetic sequence is 10, and its common difference is -3.
We want to find the sum of the first 10 terms of this sequence.
Remember that the sum for an arithmetic sequence is given by:
[tex]\displaystyle S=\frac{k}{2}\left(a+x_k\right)[/tex]
Where k is the number of terms, a is the initial/first term, and x_k is the last term.
Since our initial term is 10, a = 10.
And since we want to find the sum of the first ten terms, k = 10.
So, we will need to find the last or tenth term. We can write an explicit formula. The standard explicit formula for an arithmetic sequence is:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
So, by substituting, we acquire:
[tex]x_n=10-3(n-1)[/tex]
Then the tenth or last term is:
[tex]x_{10}=10-3(10-1)=10-3(9)=10-27= -17[/tex]
Then the sum of the first ten terms will be:
[tex]\displaystyle S_{10}=\frac{10}{2}(10+(-17))=5(-7)=-35[/tex]
Answer:
-35
Step-by-step explanation:
[tex]a_{1}[/tex] = 10+(-3)(0) = 10
[tex]a_{10}[/tex] = 10+(-3)(9) = -17
[tex]S_{10}[/tex] = 10[(10 -17)/2] = 10(-7/2) = -70/2
Help me please answer
Answer:
Volume of cone = 90 ft³
Step-by-step explanation:
diameter of cone = 6ft
radius of cone = 3ft
height = 10ft
Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]
V = (3 × 3 × 3 × 10)/3
V = 270/3
V = 90 ft³
Point Q was rotated about the origin (0,0) by -165
Answer:D
Did it on khan academy
The Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12
years old for its performances. On a recent weekend evening when 551 people
paid admission, the total receipts were $ 9290. How many who paid were
children under 12 years old?
Let A = number of adult tickets, let C = number of child tickets
1. Using the variables A and C, write a system of linear equations that reflect the
above problem.
2. Solve the system of equations for both A and C.
3. How many tickets sold were for children under 12?
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.[tex]^{}[/tex]ly/3a8Nt8n
plz answer this question and while answering the question plz DONT put links in
A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random? Question 5 options: 5/20 1/7 5/21 1/5
Answer:
1/5
Step-by-step explanation:
5 out of 25 reduces to 1 out of 5
-a + 28 = 14 solve for a
Answer:
a = 14
Step-by-step explanation:
28[-14]=14;
-14
Answer:
A= -14
Step-by-step explanation:
a + 28 = 14
28-14=14
make 14 an negative then add
-14 + 28 = 14
*pls give brainlist*
Determine the equation of a circle with center at (8, 10) and radius is 6
hello guys
can you tell me what does this ^ mean in math?
Answer:
It means there is an exponent
Step-by-step explanation:
Chip has enough concrete to pave a square area of 200ft^2 for a backyard patio. Use the formula s=√A to find the length of each side of his patio. Round your answer to the nearest tenth of a foot.
Answer:
14.1 ft
Step-by-step explanation:
A = 200 ft^2
s = √A
s = √(200ft^2)
s = 14.1 ft
Please mark brainliest if this helped!
Please mark brainliest if this helped!
The length of each side of his patio is S = 14.1ft.
Given that,
Chip has enough concrete to pave a square area of 200ft^2 for a backyard patio,
Use the formula S=√A.
We have to determine,
The length of each side of his patio.
According to the question,
Chip has enough concrete to pave a square area of 200ft^2 for a backyard patio,
To obtain the length of each side of patio using the given formula.
Formula; [tex]S= \sqrt{A}[/tex]
Where, [tex]A = 200ft^2[/tex]
Substitute the value of A in the given formula,
[tex]S = \sqrt{A}\\\\S = \sqrt{100 (ft)^2}\\\\S = 14.1ft[/tex]
Hence, The length of each side of his patio is S = 14.1ft.
To know more about Surface Area click the link given below.
https://brainly.com/question/11777802
Ten coins weigh 25 grams. How many grams does 1 coin weigh?
Answer:
2.5 Grams
Step-by-step explanation:
You divide 25 by 10 giving you 2.5 Grams.
At home, Martin plays computer games every 5 days, reads every 2 days, plays soccer with his friends every 14 days, and bakes cookies every 6 days. If he did all four activities today, in how many days will he do all four activities again on the same day
Answer:
May be after 27 days.... Iam not sure
FIND THE VOLUME OF THE CYLINDER TO THE NEAREST WHOLE NUMBER. USE 3.14 FOR PI. RADIUS 2 INCH height 4inch
Answer:
cylinder
Step-by-step explanation:
Answer:
Seeds- V= 50 in^3
Nuts- V= 170 in^3
Step-by-step explanation:my knowledge is by best support
can someone please help me ??! and show my steps i’m so lost and need this done. :( it’s geometry
Answer:
8.38 m^3
Step-by-step explanation:
The volumes are in proportion to the cubes of their radii.
Compare volumes in the form big cone / small cone.
[tex]\frac{131}{V_\text{small}}=\frac{5^3}{2^3}\\\frac{131}{V_\text{small}}=\frac{125}{8}[/tex]
"Cross multiply."
[tex]125V_\text{small}=8\cdot131\\125V_\text{small}=1048\\V_\text{small}=\frac{1048}{125}\approx 8.34\text{ cm}^3[/tex]
What is the quotient of 10 divided by 3/5?
A small pond contains 8 catfish and two bluegill. If eight fish are caught at random what is the probability that all of them are catfish
64th term of arithmetic sequence 29,38,47
Answer:
596
Step-by-step explanation:
Each term of the arithmetic sequence is 9 greater than the previous term.
Since the first term is 29, then 29+9 = 38, the second term in the sequence. Likewise, the third term, 47, is 9 greater than the previous term, 38. 47 is also 2(9) greater than the first term, 29.
Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.
29 + 63(9)
= 29 + 567
= 596
So, the 64th term of the arithmetic sequence is 596.
write 6870628 and 18333206 to the nearest thousand
The answers are:
6,871,000
and
18,333,000
Answer:
6871000
18333000
Step-by-step explanation:
all the numbers before thousands will be zeros and the number that decide whether thousands will be added one or remains the same is the number before the thousands which is hundreds, if it's 0-4 that means the thousands remain the same at it was before and all the numbers before it become zeros, but if it's 5-9 that means thousands will be added one and all the numbers before it become zeros.
so the answer is:
6871000
18333000
the sum of two numbers is 65 and the difference is 41
Answer:
12 and 53
Step-by-step explanation:
let 'x' = one number
let 'y' = other number
System of Equations:
x + y = 65
x - y = 41
Substitution Method:
x = 41 + y
41 + y + y = 65
2y = 24
y = 12
x + 12 = 65
x = 53
Find the area and the circumference of a circle with diameter 6 yd Use the value 3.14 for n , and do not round your answers.
Answer:
Circumference:
Half of 6 is 3 so
2 x 3 x 3.14 = 18.84
Area of A circle:
Radius is 3, so 3^2 = 9
9 x 3.14 = 28.26
what is equivalent to 1/2+1/6
Answer:
4/6 or 2/3.
Step-by-step explanation:
You need to multiply 1/2 by 3/3 so you can can the denominater having a 6.
please help me with my last answer im stuck
9514 1404 393
Answer:
the correct choice (A) is marked
Step-by-step explanation:
The function g(x) is translated 3 right and 1 down from f(x).
The transformation ...
g(x) = f(x -h) +k . . . . . . translates h right and k up
For your translation, you have (h, k) = (3, -1). Putting those into the transformation model above gives ...
g(x) = (x -3)² -1 . . . . matches choice A
Find the area of each figure. Use 3.14 for pi.
Answer:
208m²
Step-by-step explanation:
Okay, so you can split this abomination into a rectangle, another rectangle, and a square, so we're going to start with the rectangle to the far left:
The formula for the area of a rectangle or square is length x width, so we just have to plug:
4 x 8 = 32
Now we do the next rectangle, but we have to figure out the length first, so:
4 + 4 = 8
Now we plug:
8 x 4 = 32 (I now realize that the rectangles are even and we could've just multiplied the first one by two, but it's always good to check)
Now we do the square:
12 x 12 = 144
Now we add it all together:
32 + 32 + 144 = 208
So the area of the figure is 208m²
if this is wrong, let me know so I can fix it
hope this helps:)
Solving a decimal word problem using a linear equation of the form Ax + B = C
Alan rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 80 cents for each mile driven. Alan had to pay $239.79 when he returned the truck. For how many miles did he drive the truck?
Answer:
the number of miles did he drive the truck is 276 miles
Step-by-step explanation:
The computation of the number of miles did he drive the truck is as follows
Let us assume the mileage be m
Now according to the question
0.8m + 18.99 = 239.79
0.8m = 239.79 - 18.99
0.8m = 220.8
m = 276
Hence, the number of miles did he drive the truck is 276 miles
The above represent the linear equation
The area of the triangle below is 9/32 square centimeters. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
b=3/4
Step-by-step explanation:
((3/4)x)/2=9/32
The length of the base will be 3/4. The length of the base from formula of area of triangle.
How to find the area of triangle?The area of the triangle is half of the length and base of the triangle.Area of triangle is found as;
[tex]\rm A= \frac{1}{2} \times L \times B\\\\ A=\frac{9}{32} \\\\ \frac{9}{32} =\frac{1}{2} \times \frac{3}{4} \times B \\\\ B=\frac{3}{4}[/tex]
Hence,the length of the base will be 3/4.
To learn more about area of triangle refer;
https://brainly.com/question/19305981
#SPJ2
Which expression is equivalent to square root a^7
Answer is d
Step-by-step explanation:
If you multiply a^6 and a it equals a^7
a teacher salary went from 48000 to 51360 what is the rate of increase
Answer:
Step-by-step explanation:
Do 51360-48000= (A)
Then do
Difference (A) / 48000
All times by 100
y=((3x+1)³)-², find dy/dx
Figure WXYZ is a rectangle. What are the
coordinates of point W?
Answer:
(2,9)
Step-by-step explanation:
Answer:
(2,9)
Step-by-step explanation:
because you move up by 6. which makes it (2,3)+6
PLEASE HELP
Select all of the expressions that are less than 10 2/3.
A.
10 2/3 × 9/10
B.
1 × 10 2/3
C.
10 2/3 × 2 1/3
D.
1/8 × 10 2/3
E.
10 2/3 × 3/5
Answer:
A, D, E
Step-by-step explanation:
A) 32/3 x 9/10 = 96/10 = 9.6
D) 1/8 x 32/3 = 4/3 = 1.33
E) 2/3 x 3/5 = 2/5 = 0.4