Answer:
x = π n + cot^(-1)(22/29) for n element Z
Step-by-step explanation:
Solve for x:
cos(x) = (22 sin(x))/29
Divide both sides by sin(x):
cot(x) = 22/29
Take the inverse cotangent of both sides:
Answer: x = π n + cot^(-1)(22/29) for n element Z
Help please can’t get this wrong. Am I doing this right if not correct me. And how do I write it
Answer:
I think it’s correct
Step-by-step explanation:
−5(p+3/5)=−4 solve for p
Step-by-step explanation:
-5(p+3/5)= -4 distribute
-5p -3 = -4 addition
-5p = -1 division
answer = .2
The value of p is 1/5 .
Given,
−5(p+3/5)=−4
Here,
−5(p+3/5)=−4
Simplify the above equation to get the value of p,
Negative sign is eliminated from both sides,
5(p + 3/5) = 4
p + 3/5 = 4/5
Combine like terms,
p = 4/5 - 3/5
p = 1/5
Thus the value of p is 1/5 .
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At the end of the month, Bill had overdrawn his checking account and had a balance of -$163.22 . He deposited his paycheck of $988.56 on the first of the next month. What was Bill's balance after he deposited his paycheck?
Answer:
$825.34
Step-by-step explanation:
$988.56 - $163.22
$825.34
The odds in favor of Jake winning a contest is 4:16.
What is the probability of Jake winning a contest? (answer using decimal number form)
Given: BC ⊥ CA , Prove: m∠A+m∠B=90°
Answer:
With points A, B and C a right triangle is formed.
Given that BC ⊥ CA, then m∠C = 90°.
The addition of the angles of a triangle is equal to 180°, therefore:
m∠A + m∠B + m∠C = 180°
Substituting with m∠C = 90°:
m∠A + m∠B + 90° = 180°
m∠A + m∠B = 180° - 90°
m∠A + m∠B = 90°
PLEASE ANSWER ASAP AND PROVIDE EXPLANATION! A copy machine is set up to enlarge an original in the ratio 2:3. What is this enlargement in percent?
Answer:
50%
Step-by-step explanation:
Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.
Lest's pretend the original size was 100 in. 100/2x3=150
So in this case we enlarged it by 50 in. which is 50% of 100.
So, the enlargement as a percentage is 50%
Answer:
50% more
3-2=1
1/2=0.5
0.5=50%
You can also double check by adding half of two and checking if it is 3
2 x 0.5 = 1
2 + 1 = 3
50% increase
Hope this helps
Step-by-step explanation:
Two people can swing on a trapeze at the same time as long as
their total weight is less than 500 pounds. Joe weighs 240 pounds
and is 6 feet tall. Jake weight 250 pounds and is 32 years old. Can
Joe and Jake swing on the trapeze at the same time?
Answer:
Yes!
Step-by-step explanation:
Joe’s weight with Jake’s weight is 490, which is less than 500, so yes!
what is the amount of the discount
Answer:
The discount is $3.75.
Step-by-step explanation:
You can cross-multiply and divide: the original price can be multiplied by the percent off and then divide it by 100.
12.5×30=375
375÷100=3.75 which is the amount of the discount.
Find the value of x in each case.
Answer:
x = 22°
Step-by-step explanation:
Given corner URV = x and because of symmetry of Z-corners, that corner by definition is the same as corner DVR.
So corner SVR = V = x
R = 44°
S = 5x + 4°
V = x
In any triangle the three corners add up to 180°
Combine all this info and you get:
44 + 5x + 4 + x = 180
Solve for x (means write as x =...)
5x + x = 180 - 4 - 44
6x = 132
x = 132/6
x = 22°
Sue has one spin of the circular spinner shown below.
Two of the lines shown on the diagram are diameters of the circle.
BLUE
RED
GREEN
WHITE
YELLOW
The table below shows the probabilities of Sue obtaining YELLOW, WHITE and
GREEN with one spin of the spinner.
Complete the table.
Colour
YELLOW
WHITE
GREEN
RED
BLUE
Probability
0.2
0.18
0.12
Answer:
Colour | Probability
YELLOW | 0.20
WHITE | 0.18
GREEN | 0.12
RED | 0.18
BLUE | 0.32
Step-by-step explanation:
The complete question is presented on the attached image to this solution.
From the image of the spinner and the given probabilities, the combination of YELLOW, WHITE and GREEN make up exactly half of the total space on the spinner.
0.2 + 0.18 + 0.12 = 0.50
Then, BLUE and RED make up the other half of the spinner.
Probability of landing on either BLUE or RED = 1 - 0.50 = 0.50
Let P(BLUE) = x and P(RED) = y
x + y = 0.50
Two of the lines shown on the diagram are diameters of the circle.
The first line that is a diameter splits the circle into two parts; (WHITE, YELLOW, GREEN) and (RED, BLUE).
From here, we have established that x + y = 0.50
The other line that is a diameter splits The circle into two part; (WHITE, BLUE) and (YELLOW, GREEN, RED)
From this other information,
P(WHITE) + P(BLUE) = 0.50
0.18 + x = 0.50
x = 0.50 - 0.18 = 0.32
P(YELLOW) + P(GREEN) + P(RED) = 0.50
0.20 + 0.12 + y = 0.50
y = 0.50 - 0.32 = 0.18
To check, x + y = 0.32 + 0.18 = 0.50 (Correct!!)
Hope this Helps!!!
01:58:01
The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
Save and Exit
Next
Submit
Answer:
Number of sides = 18
Step-by-step explanation:
Using the formula given below for this
=> [tex](n-2)*180 = measure of interior angles[/tex]
=> (n-2)*180 = 2880
Dividing both sides by 180
=> n-2 = 16
Now, Adding 2 to both sides, we get
=> n = 18
Answer:
20
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
5x2 - 5x-100
O A. x + 10
B. X-5
C. X+ 5
D. X-4
Answer:
B
Step-by-step explanation:
Brainliest for whoever gets this right!
Please help ASAP!
Find the inequalities which describe the region that’s shaded
Answer:
The lines that make this up are y = 5, x = 4 and y = x so the answer is y ≤ 5, x ≥ 4 and y ≥ x.
Which of the following are examples of statistical questions?
1.How many sodas do Jack and his friends drink in a week?
2.How many pairs of shoes do you own?
3.How many cats does Jack have?
4.What types of music does the 6th grade like?
Help me plzzzz plzzz
Answer:
1st Choice
Step-by-step explanation:
The fastest way to do this is by thinking of translations. If you are trying to move it left or right, it will be inside the cube root. If you want to move it vertically, it will be outside the root. In the graph, the child function is moving from the parent function to the right. This means we can eliminate choices C and D. We are left with A and B. A is the right choice because you take the negative of the direction you want to move in. Thus, you have your answer.
Answer:
A
Step-by-step explanation:
g(x)=∛(x-4)
1/3 expressed as a decimal fraction is? (Round to the nearest thousandths)
Answer:
1/3=0.33333333333...
Nearest thousandths would be:
0.333Answer
0.333
Step-by-step explanation:
you would divide 1 by 3
Which of the following angles can be trisected using only a compass and straightedge?
A. 45⁰
B. 125⁰
C. 65⁰
D. 175⁰
Answer:
i believe it is c
Step-by-step explanation:
Michelle kicks a soccer ball up into the air from the ground. The graph represents the height of the ball, in feet, as a function of time, in seconds. What is the domain of the function represented by the graph? Use the on-screen keyboard to type your response in the boxes below. __≤x≤ __
Answer:
D 6 seconds
Step-by-step explanation:
Hope this helps!!! Please amrk as Brainlyest
Radicals PLEASE HELP will mark brainliest! You are considering installing a pendulum in the amusement park visitor’s center. The time it takes a pendulum to complete a full cycle or swing depends upon the length of the pendulum. The formula is given by T = 2 π √(L/32) where T represents the time in seconds and L represents the length of the pendulum in feet. If the pendulum is 8 feet long, how long will it take for the pendulum to complete a full cycle?
Answer: 31.42 seconds
Step-by-step explanation:
Given that:
Time taken (T) for a pendulum to complete a full swing or cycle is represented by the equation:
T = 2 π √(L/32)
T = time taken to complete a full swing in Seconds
L = Length of the pendulum measured in feet
If length (L) of the pendulum = 8 feet
Time taken (T) =?
Inputting our values :
T = 2 π √(8/32)
T = 2 π √(1/4)
T = 2 π 0.5
T = 10 π
T = 10 × 3.142 = 31.42seconds
Stone bridge neighborhood garage sale had these cash receipts for 5 days: $214.50, $125.17, $245.30, $165.34, $58.75. What were the total cash receipts?
Answer: 809.06
Step-by-step explanation:
$214.50 + $125.17 + $245.30 + $165.34 + $58.75 = 809.06
Which expression entered into a graphing calculator will return the probability
that a data value in a normal distribution is between a z-score of -0.18 and a
Z-score of 1.99?
A. normalcdf(0.18, 1.99)
B. normalcdf(-1.99,0.18)
C. normalcdf(1.99, 0.18)
O
D. normalcdf(-0.18, 1.99)
The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)
How to determine the expression?To calculate the probability between two z-scores is to calculate the area between the z-scores.
This is done using the following syntax:
normalcdf(lower bound, upper bound)
From the question, the lower and the upper z-scores are -0.18 and 1.99
So, the formula would be normalcdf(-0.18, 1.99)
Hence, the expression is (d)
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What is the scale factor in the dilation
2/5
1/2
2
2
1/2
Answer:
I think D, or 2 1/5
Step-by-step explanation:
If someone can please help me with this question I’m stuck
Answer:
B 65 sq. units
Step-by-step explanation:
The area of a triangle is equal to base times height divided by 2
the base is 13 and the height 10
13 times 10 is 130. 130 divided by two is equal to 65
:
Step-by-step explanation:
A line passes through the point (0,6) and is parallel to the line with the equation y =
1/5X - 5. What's the equation of the line?
O A) y = 1/5x + 6
OB) y = -5x + 6
C) y = 1/5* - 6
OD) y=1/5X
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x - 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
Parallel lines have equal slopes, thus parallel line has slope of [tex]\frac{1}{5}[/tex]
The line crosses the y- axis at (0, 6) ⇒ c = 6
y = [tex]\frac{1}{5}[/tex] x + 6 ← equation of parallel line → A
the equation of the line that passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5 is y = 1/5x +6.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given A line passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5
Since the two lines are parallel to each other
thus, their slope would be equal
Slope intercept form of the Second line:
y = 1/5x + c
Given that line passes through (0, 6)
From above equation
6 = 1/5* 0 +c
Hence, c = 6
therefore, the equation of the line y = 1/5x +6.
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factorise fully 6x+4
Answer:
2(3x+2)
Step-by-step explanation:
=> 6x+4
Taking 2 common
=> 2(3x+2)
Answer:
2(3x + 2)
Step-by-step explanation:
2(3x + 2) = 6x + 4
Can someone please help
Answer:
The answer is B
Step-by-step explanation:
When you reflect it over the x-axis you have to change the coordinates of each number.
Answer:
B. (1, -1), (1, -4), (3, -1)
Step-by-step explanation:
If a triangle is reflected across the x-axis, it's y coordinate values will become negative or positive if it's already negative. It uses the rule (x, -y)
(1, 1) → (1, -1)
(1, 4) → (1, -4)
(3, 1) → (3, -1)
Only B. (1, -1), (1, -4), (3, -1) is correct.
Help please I rly need it
60 POINTSS
Answer:
[tex]42 \times 48[/tex]
Step-by-step explanation:
[tex]25 \times 36=900\\52 \times 63=3276[/tex]
[tex]34 \times 42 = 1428\\ 43 \times 24=1032[/tex]
[tex]54 \times 56 = 3024\\45 \times 65= 2925[/tex]
[tex]42 \times 48 = 2016\\ 24 \times 84= 2016[/tex]
[tex]32 \times 43 = 1376\\ 23 \times 34=782[/tex]
The calculation for [tex]42 \times 48[/tex] has the same results from switching the digits.
Answer:
25 × 36 = 900
52 × 63 = 3 276
34 × 42 = 1 428
43 × 24 = 1 032
54 × 56 = 3 024
45 × 65 = 2 925
42 × 48 = 2 016
24 × 84 = 2 016
32 × 43 = 1 376
23 × 34 = 782
Choose the graph that displays the solution to the system of equations.
x = y - 2
y-8 =
2
Answer:
The first graph is the solution to:
x = y - 2 (blue line)
y-8 = -1/2x (red line)
where the solution is (4,6)
The second graph is the solution to:
x = y - 2 (blue line)
y-8 = -2x (red line)
where the solution is (2,4)
Step-by-step explanation:
The second equation is not clear. From the figures, the possible functions are: y-8 = -1/2x and y-8 = -2x.
To graphically solve a system you have to draw each line on the plane and look at the intersection point.
Answer:
Its the first graph you can graph it on desmos if you need :)
Step-by-step explanation:
1. Now consider equations of the form , where a, b, and c are all positive integers and . (a) Create an equation of this form that has 7 as a solution and an extraneous solution. Give the extraneous solution. (b) What must be true about the value of to ensure that there is a real number solution to the equation? Explain.
a) To create an equation
X+X =7
so what's X over here is
7² = x²
X=3.5
b) Real numbers are mixture of irrational and rational numbers so √5 and √6 are irrational where as 5 and 6 are not but they two are equal to each other.
Explaining the equation:
√5 +√6 = √11
5 +6 = 11
√11 =11
√= 11 ÷ 11
√= 1
So if root is 1 then -1 is -√
this is the answer propably
Suppose you are an elementary school teacher. You want to order a rectangular bulletin board to mount on a classroom wall that has an area of 160 square feet. Suppose fire code requirements allow for no more than 30% of a classroom wall to be covered by a bulletin board. If the length of the board is three times as long as the width, what are the dimensions of the largest bulletin board that meets fire code?
width FT
ft length FT
Answer:
12 feet x 4 feet
Step-by-step explanation:
The classroom wall is 160 feet, and no more than 30% of it may be covered.
Multiply 160 times .3 to get the maximum amount of square feet that the bulletin board can cover.
You get 48 square feet for the bulletin board.
The length of the board is three times as long as the width, so the length must be 12 and the width must be 4 feet.
Answer: 12 feet x 4 feet
Answer:
L=12 W=4
Step-by-step explanation:
160x.3= 48ft for fire code
4x12=48