Answer:
x=133 degrees
Step-by-step explanation:
The diagram is drawn and attached below.
Now, AB is a straight line.
[tex]\angle ACD+ \angle DCB =180^\circ $ (Linear Postulate)\\47^\circ+x^\circ=180^\circ\\x^\circ=180^\circ-47^\circ\\x^\circ=133^\circ[/tex]
a traffic light can either be green, yellow or red. for every minute, the light stays green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. At any given moment of the day, what is the probability that the light will be yellow? a. 1/12 b. 1/9 c. 1/8 d. 1/6 e. 1/3
Answer:
a. 1/12 (hope it help)
Step-by-step explanation:
5sec/60sec=1/12
URGENT I NEED THIS DONE PLEASE ILL GIVE THE FIRST ANSWER BRAINLIEST Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(b1 + b2)h to find the prism's base area. Charles's work: A = ((x + 4) + (x + 2))x A = (2x + 6)x A = (x + 3)x A = x2 + 3x Which expression can be used to represent the volume of the trapezoidal prism? A. 2x3 + 6x2 B. x3 + 6x2 C. x3 + 3x2 D. 2x3 + 3x2
Answer:
2x3 + 6x2
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
Find x please help thank you
Answer: x=(7√6)/2
Step-by-step explanation:
To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.
For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.
Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.
The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.
7√3=x√2 [divide both sides by √2]
x=(7√6)/2
Now, we know x=(7√6)/2.
What are the domain and range of f(x) = 2x - 4?
Answer:
y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph
Step-by-step explanation:
An ellipse is graphed. Which statements about the ellipse are true? Select three options. An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (−4, 2). The distance between the center and each covertex is 3 units. The vertices are at (−7, 1) and (−1, 1). Each focus is approximately 2.65 units above or below the center. The directrices are horizontal lines approximately 6 units from the center on the major axis.
Answer:
b, d, e
Step-by-step explanation:
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Define Ellipse.An ellipse is just a circular plane curve created by a geographical distances in such a manner that the sum of its lengths from two points is always the same.
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Find out more information about ellipse here:
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Keenan buys an embroidery machine for $1,400. He uses it to embroider
T-shirts. His total profit in dollars from selling the T-shirts is represented with
the function f(x) = 12x - 1,400. When the machine breaks, he pays $135 to
have it fixed. How does that cost affect a graph of Keenan's profit function?
Answer:
the graph shift down 135 units
Step-by-step explanation:
when there is no fixing cost:
f(x)=12x-1400
when there is fixing cost (0ne time): 12x-(1400+135)
the graph shift down 135 units
Those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).
Since Keenan buys an embroidery machine for $ 1,400, and he uses it to embroider T-shirts, and his total profit in dollars from selling the T-shirts is represented with the function f (x) = 12x - 1,400, and when the machine breaks, he pays $ 135 to have it fixed, to determine how does that cost affect a graph of Keenan's profit function, the following mathematical analysis must be performed:
Keenan's fixed expense is 1,400, which is the value of the embroider, and which must be considered when evaluating profit or loss from business operations.Thus, 1400 must be divided by the total number of T-shirts sold, to determine the cost per product sold.Therefore, those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).
Learn more in https://brainly.com/question/15853856
Please help. I don't understand how to solve this problem.
Answer:
BF=16
Step-by-step explanation:
To find BF, (I will be calling it x) you need to use the equation
CF/FB=CE/EA Substitute
FB=x
24/x=18/12 cross multiply
18x=288 divide both sides by 18
x=16
FB=16
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.
Have a good day! :)
can you pls help thank you
Answer:
not a function
Step-by-step explanation:
This is not a function. For the value x =2 there are two different y values
To be a function each value of x has only one value for y
This would also fail the vertical line test
One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race?
Answer:
1m = 100 cm
First sprinter stride is 120 cm. Steps he will take
= 100/1.2 = 83 1/3 steps
Second sprinter takes a stride of 75 cm
= 100/0.75 = 133 1/3 steps
Please helppppp meeeeee it would mean the worlddddd
Answer:
x = 7.5
Step-by-step explanation:
write the coordinate point for the vertex of this parabola x=-1/8y^2
Answer:
(0,0)
Step-by-step explanation:
x = -⅛y²
The equation exchanges x and y, so this is a sideways parabola.
It opens to the left because the coefficient of y² is negative.
The vertex form of a sideways parabola with its vertex at (h, k) is:
x = a(y – k)² + h
Your equation is
x = -⅛(y - 0)² + 0
By comparing the two equations, we find that
h = 0; k = 0.
The vertex is at (0, 0).
The Figure shows your parabola with its vertex at (0,0).
Answer:
(0,0)
Step-by-step explanation:
Find a formula for the general term of each of the following sequences a)7,13,19,25,31
Answer:
aₙ= 6n+1
Step-by-step explanation:
7,13,19,25,31
Given, AP with the first term of 7, and common difference of 6
Nth term:
aₙ= a₁+(n-1)d= 7 + (n-1)*6= 7+6n-6= 6n+1aₙ= 6n+1Solve for rrr: \dfrac{7}{10}=r-\left(-\dfrac{8}{5}\right) 10 7 =r−(− 5 8 )start fraction, 7, divided by, 10, end fraction, equals, r, minus, left parenthesis, minus, start fraction, 8, divided by, 5, end fraction, right parenthesis r =r=r, equals
Answer:
r = -9/10
Step-by-step explanation:
Given
7/10 = r - (-8/5)
Required
Solve for x
7/10 = r - (-8/5)
We start by opening the bracket
7/10 = r + (- -8/5)
7/10 = r + (8/5)
7/10 = r + 8/5
Subtract 8/5 from both sides
7/10 - 8/5 = r + 8/5 - 8/5
7/10 - 8/5 = r
Solve the fraction by taking their LCM
(7 - 16)/10 = r
-9/10 = r
Reorder the above
r = -9/10
Hence, the value of r is -9/10
Answer:
4(− 5/7 )
Step-by-step explanation:
Please help emergency and add explanation too pleaSE
Answer:
1
Step-by-step explanation:
Change 1/2 to 0.5. Then, do the problem of 0.75-0.25+0.5.
Step-by-step explanation:
is your answer mate ......
The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The
scatter plot shows the data she gathered and the line of best fit.
Answer:
25 students
Step-by-step explanation:
Using the line of best fit, we want to deduce the number of students predicted to be in the marching band given that there are 35 in the concert band.
To deduce this, what we need to do is to go to the point where we have 35 on the concert band axis i.e the x-axis, then trace it upto the line of best fit.
Then from the line of best fit, now trace to the y-axis.
This gives an answer 25.
You want to know whether the students in your school enjoy the school lunch. You survey every student in your class. Is this survey biased or unbiased?
Answer:
biased
Step-by-step explanation:
on my quiz good luck
The survey is biased because a biased sample favors one or more segments of the population over others.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
You want to know whether the students in your school enjoy the school lunch.
As we know,
A biased sample favors one or more segments of the population over others, whereas an impartial sample gives everyone in the population an equal chance of being chosen.
The population is the collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it
Thus, the survey is biased because a biased sample favors one or more segments of the population over others.
Learn more about the survey here:
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Help please! THANK YOU!
Answer:
4
Step-by-step explanation:
1-(-3)=4
rise is 4
Answer:
It is 4 units. You can count how many units the bottom (horizontally) of the blue triangle is to get the run.
According to the graph, what is the solution to this system of equations?
(2,3)
(3, 2)
(-1, 4)
(4, -1)
A flask contains 12% acid solution and the remaining volume is water. If the flask is 8.52 inches high and the diameter is 3.71 inches. What percent of the mixture by volume is water?
Answer:
Percent of water in the mixture=88%
Which is 81.07 square inches of the total volume
Step-by-step explanation:
Volume of the flask=πr^2h
π=3.142
radius=diameter/2
=3.71/2
=1.855
height=8.52 inches
Volume of the flask=πr^2h
=3.142*(1.855)^2*8.52
=3.142*3.441025*8.52
=92.115688686
Approximately 92.12 square inches
Flask contains 12% acid solution and the remaining volume is water
Percentage of water =Total percentage - acid solution percentage
=100%-12%
=88%
Percentage of Water =88%
Percentage of the mixture by volume is water=88% of the total volume
=88/100*92.12
=81.0656 square inches
Approximately 81.07 square inches
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I will make you a brainllest
Answer:
not possible
Step-by-step explanation:
The Law of Detachment is:
If p, then q. p is true. We can then conclude q is true.
For example:
If it rains, the grass gets wet. It is raining. Then the grass is wet.
In the problem in this post, it is not possible to use the Law of Detachment because we have:
If p then q. q is true. We are not told p is true, so we cannot conclude q is true.
Answer: not possible
The given line segment has a midpoint at (3, 1).
On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, negative 2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = One-thirdx
y = One-thirdx – 2
y = 3x
y = 3x − 8
Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)
Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex].
Therefore the line passing through (2, 4) and (4, -2) has an equation:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10[/tex]
Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10
Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:
[tex]m_1m_2=-1[/tex].
Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:
[tex]m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}[/tex]
Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:
[tex]\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x[/tex]
the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is [tex]y=\frac{1}{3}x[/tex]
Answer:
I believe the answer is A. y = 1/3x
Step-by-step explanation:
help Find (f + g)(x)
f(x) = 6x2 + 3x + 1
g(x) = 2x2 - 9
[tex]\text{Solve:}\\\\(f + g)(x)\\\\6x^2+3x+1+2x^2-9\\\\8x^2+3x+1-9\\\\\boxed{8x^2+3x-8}[/tex]
solve inequality for x
x/-4<16
The answer to this problem is x> -64
Step-by-step explanation:
[tex]x - 4 < 16 \\ x < 16 + 4 \\ x < 20[/tex]
x={...17,18,19}
A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slise th BOXES are the options PLEASE I NEED HELP RIGHT NOW
Answer:
3.53 inch
Step-by-step explanation:
area = 1/8 π r² with r=3 inch (half diameter)
= 9/8 π ≈ 3.534 inch²
Answer:
2.53 in,3.53 in
i hope this helps sorry if it doesn't
Jaya agreed to give matt a loan for $80 but she’ll also be charging him 8% interest.How much will he have to pay her back
Answer:
Step-by-step explanation:
Let organise our information :
Jaya will charge Matt an 8 percent interest for 80 dollars loanwe can say that :
80 dollars⇒ 100 percentx ⇒ 8 percent
so :
x =( 8*80 )/ 100= 6.4
so the interest is 6.4 dollars
so the total cost is 86.4
897-113×2:2+113
A) 888
B) 987
C) 898
D) 1694
E) 897
Answer:
d it is what it is my man's
Divide up the number 60 in 2:3:5 ratio.
Answer:
Step-by-step explanation:
The number of deaths by road as recorded in a country is 2 per 50,000 of the population. Find the probability that in a town of 100,000 inhabitants within the country (a). between one and three inclusive, and (b). between two and five deaths by road will be recorded.
Answer:
(a) 0.635
(b) 0.498
Step-by-step explanation:
(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;
CDF = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]
For x = three we have;
CDF = 0.781
For x = one we have;
CDF = 0.1465
Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635
(b) For x = 2 we have;
CDF = 0.4395
For x = one we have;
CDF = 0.9378
Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498
5. The monthly rent of a flat in New Delhi is 32 860 rupees.
How much is this in euros?
1
Answer:
386.11
Step-by-step explanation:
32,860=€386.11
You are walking near a river. While standing at A, you measure an angle of 90° between B and C, as shown. You then walk to B and measure an angle of 77° between A and C. The distance between A and B is about 1.5 miles. How wide (in miles) is the river between A and C? Round your answer to the nearest tenth.
Answer:
Length of AC = 6.67 miles
Step-by-step explanation:
Given:
Angel between B and C = 90°
Angel between A and C = 77°
AB = 1.5 miles
Find:
Length of AC
Computation:
Using trigonometric laws
Cos 77° = Base / hypotenuses
0.225 = 1.5 / hypotenuses
hypotenuses = 6.67 miles
Length of AC = 6.67 miles