Answer:
x = 12.5 yd
Step-by-step explanation:
To find the value of x, use the equation below
cos 37 = [tex]\frac{10}{x}[/tex]
0.80 = [tex]\frac{10}{x}[/tex] Take 10 divided by 0.80 to find x
x = 12.5
If this answer is correct, please make me Brainliest!
Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?
On a coordinate plane, a triangle has points X prime (negative 2, 2), Y prime (0, 6), Z prime (1, 1).
On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).
On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).
On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).
On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).
A rotation of 90° about the origin includes the interchange of the position of x, and y in the ordered pair and a change of one of the signs of the pair.
The option that shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin is the option;
On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).Reasons:
The given transformation the gives the X'Y'Z' = 90° rotation about the origin
The given coordinates of X'Y'Z' are;
X'(-2, 2), Y'(0, 6), and Z'(1, 1)
Required:
The figure that shows the preimage of X'Y'Z'
Solution:
Given that X'Y'Z' is obtained by the rotation of XYZ 90°, therefore, the
coordinates of XYZ are given by the rotation of X'Y'Z' in the reverse
direction either counterclockwise and clockwise.
(x, y) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] (-y, x)
(x, y) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] (y, -x)
Therefore, we have;
X'(-2, 2) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] X(-2, -2)
Y'(0, 6) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Y(-6, 0)
Z'(1, 1) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Z(-1, 1)
Similarly, we get;
X'(-2, 2) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] X(2, 2)
Y'(0, 6) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] Y(6, 0)
Z'(1, 1) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] Z(1, -1)
The above coordinates of XYZ; X(2, 2), Y(6, 0), and Z(1, -1), corresponds to
the option;
On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).
Therefore, XYZ was rotated 90° clockwise to form X'Y'Z'
Learn more about rotation transformation here:
https://brainly.com/question/4738741
Answer: the first box is 90 degrees and the second box is 2 :D
Step-by-step explanation: ed 2020
hope you have a goody day / night ^^
Please help I don’t understand
Answer:
B
Step-by-step explanation:
Simplify the expression (10 + 3i)(10 - 3i)
91
109
100-30i
100+30i
Answer:
(10 + 3i)(10 - 3i)=109
Step-by-step explanation:
[tex](10+3i)(10-3i)=(10^{2} -10*3i)+(3*10i-3*3i^2)\\ =100-30i+30i-9i^2\\=100-9*(-1)\\=100+9=109[/tex]
Answer:
B) 109
Step-by-step explanation:
I took the test and got a 100%
1. Is the following quadratic equation in standard form?
y = – 3x^2+ 2x - 4
No
Yes
Answer:
Yes this equation is in standard form.
Answer:
yes this equation is in standard form
Use DeMoivre’s Theorem to find (3cis(pi/6))^3.
a.) (27sqrt3)/2 +27/2 i
b.) (9sqrt3)/2 +9/2 i
c.) 27i
d.) 9i
Answer:
C. 27iStep-by-step explanation:
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))^3
= {3(cosπ/6 + isinπ/6)}^3
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
The right answer is 27i
The sum of three mixed numbers is 20 17/30
Two of the numbers are 6 1/3 and 8 5/6
What is the third number?
Answer:
Step-by-step explanation:
6 1/3 plus 8 5/6 is 15 1/6
20 17/30 minus 15 1/6= 5.4 or 5 2/5
Help Resources
Find the maximum value of
C = 3x + 2y
Subject to the following constraints:
x > 0
y>0
x + 3y <15
4x + y <16
Enter
Answer:
Given:
x > 0
y > 0
And,
x + 3y < 15
4x + y < 16
<=>
4x + 12y < 60
4x + y < 16
<=>
11y < 44
<=> y < 4
Otherwise
x + 3y < 15
4x + y < 16
<=>
x + 3y < 15
12x + 3y < 48
<=>
11x < 33
<=>
x < 3
=> C = 3x + 2y < 3*3 + 2*4 = 9 + 8 = 17
=> C < 17
Hope this helps!
:)
The maximum value of C is an illustration of objective functions
The maximum value of C is 25
The objective function is given as:
[tex]\mathbf{C = 3x + 2y}[/tex]
The constraints are:
[tex]\mathbf{x + 3y < 15}[/tex]
[tex]\mathbf{4x + y < 16}[/tex]
[tex]\mathbf{x,y > 0}[/tex]
Plot the graphs of the constraints
From the graph (see attachment), the only optimal point is (3,4)
Substitute 3 for x and 4 for y in the objective function.
So, we have:
[tex]\mathbf{C = 3x + 2y}[/tex]
[tex]\mathbf{C = 3(3) + 2(4)}[/tex]
[tex]\mathbf{C = 9 + 8}[/tex]
[tex]\mathbf{C = 17}[/tex]
Hence, the maximum value of C is 17
Read more about optimizing functions at:
https://brainly.com/question/14778650
Median income is the
A. the middle income reported
B. income in the middle of the data set when incomes are arranged from least to greatest
C. total incomes reported divided by the total number of people surveyed
D. income reported most frequently
Median income is the income in the middle of the data set when incomes are arranged from least to greatest.
What is the median income?Median is a measure of central tendency that is used to describe the number that is in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the income of 3 workers for march are : $1000, $5000, $10,000. The median income is $5000.
To learn more about median, please check: https://brainly.com/question/14746682
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Will Give Brainliest!!!! On Time Limit Hurry Please Wrong answer will be deleted!!
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? (negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot) (negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot) {–12, 2} {–2, 12}
Answer:
x = - 12, x = 2
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± = ± 7 ( subtract 5 from both sides )
HOPE THIS HELPS
Answer:
x = 2 , − 12
Step-by-step explanation:
Use the formula ( b /2 ) (^)2 in order to create a new term. Solve for x by using this term to complete the square.
A rectangular prism has a length of 12 feet, a height of 13 feet, and a width of 8 feet. What is its volume, in cubic feet?
Answer:
1248 cubic feet
If r+s/r =3 and t+r/t =5, what is the value of s/t ? (A) 12 (B) 35 (C) 4 (D) 8 (E) 16
Answer:
The answer of this question is (D) 8
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
What is 2.08x10^7 written in standard notation?
Answer:
D) 20,800,000
Step-by-step explanation:
evaluate the following function for x=-4 f[x]=2x+5
Answer:
-3
Step-by-step explanation:
substitute -4 into the equation f(x)
Calculate the following percent using fraction equivalents. 50% of 64
Answer:
Step-by-step explanation:
50% is [tex]\frac{50}{100}[/tex] but we're working with 64 units, not 100. So, we must find a number that represents 50 but in 64 units.
[tex]\frac{50}{100}=\frac{x}{64}[/tex]
If you solve for x, you get:
[tex]x=\frac{50*64}{100}\\ x=32[/tex]
[tex]\frac{50}{100}=\frac{32}{64}[/tex]
What happens if you decide to cash in your Certificate of Deposit (CD) before its maturity date?
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation:
I have a book on this kinda stuff! :D
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation: ED2022
giving a lot of pts. Which expression is equivalent to 7(a+2) when a=6
7(6)
9(6)
7(6+2)
7(6+14)
Answer:
9(6)
Step-by-step explanation:
i just took the test and yea!!!!!!!!
Answer:
D. 7(6)+4
Step-by-step explanation:
I tried the answer above me but it was wrong that's why I got 90/100
but here is the REAL ANSWER
What is the solution to the equation sqrt2x+6-sqrtX+4=1?
Answer:
the first answer is 5
the second answer is 23
Step-by-step explanation:
edge
Answer:
x=5 and the other one is x=23
Step-by-step explanation:
Logan is 4 times older than his cousin Dylan .Logan is less than 12 years old.which inequality shows the possible age Dylan could be.
A. d< 3
B . d > 3
C. d < 48
D. d > 48
what is the first step in solving for “b”?
Answer:
c
Step-by-step explanation:
Answer:
c)
Step-by-step explanation:
A city has an elevation of –752 feet. Which statement describes the city’s elevation?
–752 above sea level
–752 below sea level
752 above sea level
752 below sea level
Answer:
it is 752 blow sea level
Step-by-step explanation:
just now took it
Answer:
752 below sea level
is the correct answer the other person was right
Step-by-step explanation:
just answered the question
SOMEONE HELP PLSSS
suppose your friends parents invest $10,000 in an account paying 5% compounded annually. what will the balance be after 5 years?
Answer:
12,762.82$
Step-by-step explanation:
10,000(1+0.05)^5
Solve for x: 3x − 2 > 5x + 10.
Answer: hopefully this is what you need
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality form:
X < -6
Interval Notation:
(-♾, -6)
josh built a circular flower bed in his backyard. the radius of the flower bed is 12 feet. he wants to find the circumference of the flower bed. he uses 3.14 for pi. what is the approximate circumference for the flower bed?
75.34
Step-by-step explanation:
1.To find the circumference, you have to multiply the diameter times pi (3.14).
2.The radius (12) is half of the diameter
3. The diameter (12x2) is 24.
4. 24x3.14 is 75.36
So, the approx. circumference is 75.36.
Answer:
Step-by-step explanation:
Answer:75ft
Find the midpoint between the points (-6, -2) and (-3, -7)
Answer:
(-4.5, -4.5)
Step-by-step explanation:
To find the midpoint add the x coordinates and divide by 2
(-6+-3)/2 = -9/2 = -4.5
Then add the y coordinates and divide by 2
(-2+-7)/2 = -9/2 = -4.5
Name the values represented by the box plot.
Lower quartile:
Upper quartile:
Median:
Answer: The lower quartile is 10, the upper quartile is 21, and the median is 17.
Step-by-step explanation:
Answer:
It sould be 5,10,26
Step-by-step explanation:
PLEASE HELP!! can somebody please estimate what this equation would be or what the real answer would be!!! thank you
Answer:
see below
Step-by-step explanation:
-2 1/4 * 7.89 + 13/3 ÷ (-4.17)
Estimate
Multiply and divide from left to right
-9/4 * 8 + 4 ÷ -4
-18 -1
-19
The exact answer is -18.79166.....
There were 23 students running in a race. How many different arrangements of first, second, and third place are possible?
Answer:
10626 different arrangements
Step-by-step explanation:
As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.
The formula for a permutation of n choose p is:
P(n,p) = n! / (n-p)!
So, using n = 23 and p = 3, we have:
P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626
So we have a total of 10626 different arrangements of first, second and third place.
208 divided by 6.4
What is the quotient for the equation above?
3.25
32.5
325
3,250
Answer:
B)32.5
Step-by-step explanation:
hope this helps
Answer:
32.5 or B
Step-by-step explanation:
good luck on the rest of your quiz
Find the length of DF
Answer:
7x-58
just add all the terms