Question 1
Find the missing angle to the nearest degree.
36
14
degrees
Answer:
23°
Step-by-step explanation:
Let the missing angle be x
Reference angle = missing angle = x
Opposite side to x = 14
Hypotenuse = 36
Applying trigonometric ratio, we have:
[tex] sin(x) = \frac{14}{36} [/tex]
[tex] x = sin^{-1}(\frac{14}{36}) [/tex]
x = 23° (to the nearest degree)
12x+5y=95
find the x-intercept
Answer:
(95/12,0)
Step-by-step explanation:
Answer:
(7.916, 0)
Step-by-step explanation:
In order to find the X-intercept, let y=0
12x + 5(0) = 95
12x = 95
95/12x = 7.91666...
Therefore, the x intercept is (7.916, 0)
A line has a slope of a and has a y-intercept of (0,b). Which equation represents this line?
A. y-b=a(x-0)
B. y+b=a(x-0)
C. y-0=a(x-b)
D. y-0=a(x+b)
PLEASE HELP GIVING 50 POINTS!!!
Step-by-step explanation:
General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = ax + b.
=> y - b = ax
=> y - b = a(x - 0).
The answer is option A.
Answer:
A
[tex]general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)[/tex]
In a batch of lightbulbs, 30% are tinted, if 45 lightbulbs are tinted, how many lightbulbs are in the batch?
Step-by-step explanation:
30% of lightbulbs = 45 lightbulbs
100% of lightbulbs
= 45 * (100/30) = 150 lightbulbs.
Hence there are 150 lightbulbs in the batch.
Solve for x:
a
3
b
9
c
1.5
d
13.5
Hi there! :)
[tex]\large\boxed{\text{ x = 9}}[/tex]
The two angles pictured are vertical angles, therefore:
8x - 6 = 6x + 12
Solve for x by subtracting 6x from both sides:
2x - 6 = 12
Add 6 to both sides:
2x = 18
Divide both sides by 2:
x = 9.
Answer:
9 is ur answer
Step-by-step explanation:
8x-6=6x+12
8x-6x=12+6
2x=18
x=9
Hope this helps u...
Which expression is NOT equivalent to 24 + 6x?
A. 2(3x + 12)
B. 28 + 4x – 4 + 2x
C. 5x + 7 + x + 17
D. 3(8 + 3x)
Answer:
D
the answer is D because when you multiply 3(8 + 3x), it will give you 24+9x
3(8 + 3x) is not equivalent to 24 + 6x.
Option D expression is not equivalent to 24 + 6x.
What is an expression?An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.
According to the question
Expression is NOT equivalent to 24 + 6x
A . 2(3x + 12)
= 2(3x) + 2(12)
= 6x + 24
= 24 + 6x
B. 28 + 4x – 4 + 2x
= (28 - 4) + (4x + 2x)
= 24 + 6x
C. 5x + 7 + x + 17
= (5x + x) + (7 + 17)
= 6x + 24
= 24 + 6x
D. 3(8 + 3x)
= 3(8x) + 3(3x)
= 24 + 9x
Hence, Option D is not equivalent to 24 + 6x.
3(8 + 3x) is not equivalent to 24 + 6x.
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Quadrilateral RUST has a vertex at R (1,2). U S What are the coordinates of R'after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x, y) - (x + 2, y)?
A. (5,8)
B. (5,2)
C. (9,6)
D. (5,6)
Answer:
D. [tex](5,6)[/tex]
Step-by-step explanation:
Let [tex]R(x,y) = (1,2)[/tex], we proceed to perform all operations described on statement:
1) Dilation
[tex]R'(x,y) = O(x,y) + k\cdot [R(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]R(x,y)[/tex] - Original point.
[tex]R'(x,y)[/tex] - Dilated point.
[tex]k[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]R(x,y) = (1,2)[/tex] and [tex]k = 3[/tex], then the dilated point is:
[tex]R'(x,y) = (0,0) +3\cdot [(1,2)-(0,0)][/tex]
[tex]R'(x,y) = (0,0) +3\cdot (1,2)[/tex]
[tex]R'(x,y) = (3,6)[/tex]
2) Translation
[tex]R''(x,y) = R'(x,y) + T(x,y)[/tex] (2)
Where:
[tex]R'(x,y)[/tex] - Original point.
[tex]T(x,y)[/tex] - Translation point.
[tex]R''(x,y)[/tex] - Translated point.
If we know that [tex]R'(x,y) = (3,6)[/tex] and [tex]T(x,y) = (2,0)[/tex], then the translated vector is:
[tex]R''(x,y) = (3,6)+(2,0)[/tex]
[tex]R''(x,y) = (5,6)[/tex]
Therefore, the correct answer is D.
Answer:d
Step-by-step explanation:
This is literally my hole grade and I need help this is what it looks like-
Answer:
Muhammed
Step-by-step explanation:
What is 3 fourths times one half
Answer: 0.375
Step-by-step explanation:
I NEED HELP!!!!! :)))))
Answer:
in very much deed you do need help :)))))))
Answer:
Area of the triangle is :-----[tex] \huge\boxed{\frac{1}{2} \times base \times height} \\ [/tex]
[tex] \frac{1}{2} \times 10 \times x = 50 \\ x = \frac{50 \times 2}{10} \\ \boxed{x = 10}[/tex]
10 units is the right answer.Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
1. Isolate x in the first equation:
2. Substitute the value for x into the second equation:
3. Solve for y:
4. Substitute y into either original equation:
5. Write the solution as an ordered pair:
x = 7 – 3y
2(7 – 3y) + 4y = 8
14 – 6y + 4y = 8
14 – 2y = 8
–2y = –6
y = 3
x + 3(3) = 7
(, )
Answer:
The solution to the system of equation is: (-2,3)
Step-by-step explanation:
We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
I am placing steps for each point given
1. Isolate x in the first equation:
First equation is:
x+3y=7
Isolating x:
x=7-3y
2. Substitute the value for x into the second equation:
Second equation is:
2x+4y=8
Putting value of x: x=7-3y
2(7-3y)+4y=8
3. Solve for y:
2(7-3y)+4y=8
Multiply 2 with terms inside the bracket
14-6y+4y=8
-2y=8-14
-2y=-6
y=-6/-2
y=3
So, we get value of y: y=3
4. Substitute y into either original equation:
Putting value of y: y=3 in equation 1
x+3y=7
x+3(3)=7
x+9=7
x=7-9
x=-2
So, we get value of x: x=-2
5. Write the solution as an ordered pair:
After solving the equation we get:
x = -2 and y = 3
The ordered pair is: (-2,3)
Answer:
-2,3
Step-by-step explanation:
Isolate x in the first equation:
Substitute the value for x into the second equation:
Solve for y
Please give me brainiest
find the slope thanks
What is 4 8/9 plus 3 2/11
Answer:
8 7/99, Decimal. (8.07 repeated)
Step-by-step explanation:
Complete the sentence using the bare infinitive.
1.My parents often make me __________ English Subject
Answer:
study my ___________ I hope it helps
helpppplzzzzzzzzz:)))))))))
Answer:
The answer is 14 minutes
Step-by-step explanation:
Subtract your total and divide what you have left. $20 - $18.04 = $1.96
You spent a total of $1.96
Divide that by 0.14 how much per minute and you get 14 minutes.
I need helps can someone help me please!!!
Answer:
Jk= 27
LM= 22
KL= 16
MJ=16
Answer:
JK=27
LM=27
KL=16
MJ=16
Step-by-step explanation:
JK=4x+7
=27
LM=5x+2
=27
KL=2y-2
=16
MJ=y+7
=16
so, JK= 27 and KL=16
(I hope u got it)
What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!
Answer:
EF = 8.8 cm
Step-by-step explanation:
In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]
[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]
262.44 = [tex]/EF/^{2}[/tex] + 184.96
[tex]/EF/^{2}[/tex] = 262.44 - 184.96
= 77.48
EF = [tex]\sqrt{77.48}[/tex]
= 8.8023
EF = 8.8 cm
The length of side EF is 8.8 cm.
It is Monday.
/: There is chicken for lunch.
/
Write the inverse in if-then form.
The proper way to write this sentence would be:
If it is Monday then there is chicken for lunch.
May I have brainliest please? :)
[50 Points] The function [tex]y = 4.2\sqrt{0.28 x - 1}[/tex] models the annual number of visitors to an amusement park, where y is the number of visitors in millions and x is the number of years since 1975. Find the first year in which the amusement park had 12 million visitors?
Answer:
In 2008.
Step-by-step explanation:
The function:
[tex]y=4.2\sqrt{0.28x-1}[/tex]
Models the annual number of visitors to an amusement park, where y is the number of visitors (in millions) and x is the number of years since 1975.
We want to determine the first year in which the amusement park had 12 million visitors.
So, we will set y equal to 12 and solve for x. This yields:
[tex]12=4.2\sqrt{0.28x-1}[/tex]
By dividing both sides by 4.2, we acquire:
[tex]\displaystyle \frac{12}{4.2}=\frac{120}{42}=\frac{20}{7}=\sqrt{0.28x-1}[/tex]
And by squaring both sides:
[tex]\displaystyle \frac{400}{49}=0.28x-1[/tex]
Adding 1 to both sides produces:
[tex]\displaystyle \frac{400}{49}+1=\frac{449}{49}=0.28x[/tex]
And finally, dividing both sides by 0.28 gives us the approximation:
[tex]\displaystyle x=\frac{449}{49}\cdot \frac{1}{.28}=\frac{11225}{343}\approx32.72\approx33[/tex]
So, 33 years after 1975, the amusement park will have 12 million annual visitors.
Therefore, the first year in which the amusement park will have 12 million annual visitors is in the year 2008.
Which equation produces the values in the table?
O y= 4x
O y=4+x
O y=1/4x
Oy=4 - x
Answer:
Step-by-step explanation: It’s C thank me later
The equation produces the values in the table is y = x/4
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
For example, 2x – 5 = 13.
Given is table (attached) we need to determine an equation that produces the values in the table,
So, seeing the value it is much that the value of x are the 4 times of the values of y,
So, we can write,
4y = x
or, y = x/4
Hence, the equation produces the values in the table is y = x/4
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QR is parallel to ST Rs is parallel TU QS is congruent to SU
prove QRS is congruent to STU
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given, Line segment QR is parallel to line segment ST.
Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.
So, The included angle of two pairs of parallel lines will also be the same as
line segment QS is similar to line segment SU.
∴ ∠QRS is similar to ∠STU.
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A line passes through the points (-1, -8) and (3, 12). Compute the slope of
the line. Show your steps. *
Your answer
This is a required question
A line passes through the points (-1, -8) and (3, 12). Write the equation for
the line that passes through these points in the form y=mx + b. (Hint: you
already computed m in the previous problem.) *
Answer:
y = 5x - 3
Step-by-step explanation:
The Slope of a Line
Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
We are given the points (-1,-8) and (3,12). Compute the slope:
[tex]\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5[/tex]
The equation of the line now has one known value:
y = 5x + b
Let's use the point (3,12) to find the value of b:
12 = 5(3) + b = 15 + b
Solving for b:
b = 12 - 15 = -3
The required equation of the line is:
y = 5x - 3
The meaning of an inequality depends on the __________________of the inequality sign.
Answer:
Denpeds on the left hand side of nagetive of the inequality sign
Avery's classroom has 3 round tables and 6 square tables. Each table can seat 4 students.
Students are randomly seated at the tables as they arrive to class.
What is the probability that the first student to arrive will be seated at a square table
NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
It was estimated that 650 people would attend the baseball game, but 683 people actually attended.
What is the percent error, to the nearest percent, of the estimate?
Answer:
5%
Step-by-step explanation:
33/650=0.0507
0.0507*100=5.07
Inverse function of y=1-x/7
Answer:
x = (7,0)
y = (0,1)
Step-by-step explanation:
What are the common factors of 9 and 36
Answer:
The common factors of 9 are 1, 3, and 9.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.
5x+6(x-2)-8(x-3) simplify the expression
Final Answer: [tex]3x + 12[/tex]
Steps/Reasons/Explanation:
Question: Simplify the expression [tex]5x + 6(x - 2) - 8(x - 3)[/tex].
Step 1: Expand by distributing terms.
[tex]5x + 6x - 12 - 8(x - 3)[/tex]
Step 2: Expand by distributing terms.
[tex]5x + 6x - 12 - (8x - 24)[/tex]
Step 3: Remove parentheses.
[tex]5x + 6x - 12 - 8x + 24[/tex]
Step 4: Collect like terms.
[tex](5x + 6x - 8x) + (-12 + 24)[/tex]
Step 5: Simplify.
[tex]3x + 12[/tex]
~I hope I helped you :)~
I hate math
First thing's first, PEMDAS. There's nothing to solve in the parenthesis, and there are no exponents, so use multiplication next. 6 • (x-2) and -8 • (x-3)
Your equation after should be
5x + 6x - 12 - 8x + 24
Next would be addition, don't forget it's always left to right.
11x - 12 - 8x + 24
Subtract twelve from the total (or in this case just from 24, and then add the remaining values (that are possible).
11x - 8x + 12
Next, subtract the two remaining x values.
3x + 12
And there you have it. Easy peasy.
If the case is trying to find x, just solve it like this.
3x = -12
x = 4
Can someone help me with this question?
36x245
