7/16
Steps:
[tex]\frac{1}{2} /\frac{8}{7} =\frac{1}{2} *\frac{7}{8} =\frac{7}{16}[/tex]
Two sides of a triangle measure 8 ft and 12 ft, respectively. The included angle is 65˚. Approximately how long is the third side of the triangle?
Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C
⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x = [tex]\sqrt{126.857}[/tex]
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
What is the equation of the line in slope-intercept form?
Answer:
y=6-5
Step-by-step explanationy
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
y=-3x-11
Step-by-step explanation:
..
Find the slope of the line that passes through (5,2) and (9,6).
Answer:
1
Step-by-step explanation:
slope m=y2-y1/X2-x1
=6-2/9-5
=4/4= 1
If this pattern continues how many squares will be in the 10th figure?
Answer:
E. 32
Step-by-step explanation:
You add 3 squares for every figure, so 3×10 = 30 + 2
Darla sees a duck and a fish at a pond. The duck is 2 1/2 feet above the surface of the pond. The fish is 1 3/8 feet below the surface of the pond. What is the distance, in feet, between the duck and the fish? 1 1/3 1 1/8 3 7/8 3 4/10
Answer: 3 7/8 feet
Step-by-step explanation:
From the question, we are informed that Darla sees a duck and a fish at a pond and that the duck is 2 1/2 feet above the surface of the pond while the fish is 1 3/8 feet below the surface of the pond.
The distance, in feet, between the duck and the fish will be calculated as:
= 2 1/2 - (-1 3/8)
= 2 1/2 + 1 3/8
= 2 4/8 + 1 3/8
= 3 7/8 feet
The distance, in feet, between the duck and the fish is 3 7/8 feet
PLEASE HELP GIVING BRAINLY
Answer:
D.) 2:40
Step-by-step explanation:
36/9 = 4constant rate
From 10 am to 1 pm is 4 hours so 4*4 = 16 gal
16+9 = 25 gal
25 + 4+4= 33 gal
we only need 3 more gallons so it would be 2:40.
HOPE THIS HELPED :)
Write the equation for the line can somebody help me and show me how to do it
(NOTE: many questions may ask you to put the equation in a certain format. This answer is assuming you can put it in slope-intercept form.)
Answer:
y= -3x-3
Step-by-step explanation:
1) A handy way to write an equation from a graph is to use the slope-intercept form: y = mx + b. In this format, the "m" represents the slope - or the measure of the steepness of the graph (we'll get more into this in the next step). The "b" represent the y-intercept, or where the point in which the graph hits the y-axis. If you know what the slope and y-intercept is, it is very easy to create an equation!
2) So let's find the slope first. The slope of an equation is represented by [tex]\frac{rise}{run}[/tex] , or the change in the y from each point, going up or down, divided by the change of x, going from left to right. So, knowing this, we can take two points we see the line hit and count the change from the x and y values.
Let's take the points (-1,0) and (0,-3). To find the rise, or the change in y, start from (-1,0) and count how many units it would take vertically to get to (0,-3). If you went down, then be sure to add a negative to the number of units you counted. To find the run, or change in x, do the same and count how many steps it would take horizontally to get to (0,-3) too. If you went left, then be sure to add a negative to the number of units you counted. So, if you did it correctly, you would get -3 as your rise and 1 as your run. Using the [tex]\frac{rise}{run}[/tex] equation, divide -3 by 1 and your slope is -3.3) Now, let's find the y-intercept. This part is much easier: just look at the graph and find the point where the line hits the y-axis. In this case, it's (0,-3).
4) All you have to do now is plug the slope and y-intercept we found into y = mx + b. So, put the slope in the "m" place and remember to put the y-value of the y-intercept into the "b" place.
This should get you y= -3x - 3 as your answer!
graph the function in the image
Answer:
The slope is 1.
Step-by-step explanation:
Any time you see x by itself, imagine there is a one behind it.
Pretty simple 1/3(9−6m)+1/4(12m−8)= what?
Answer: =m+1
Step-by-step explanation:
hope this helped
Answer:
= m + 1
Step-by-step explanation:
3 - 2m + 3m - 2
m + 1
6.Zena needs a salesperson. Sales person anyway is offering his services for an initial $50 in addition to $5 per hour. Sales person B is offering her services for $15 per hour. How many hours will two sales people charge the same amount of money?
Answer:
5 hours (when salespersons A and B will both charge $75)
can someone help out
Answer:
B' = (0,-2)
C' = (3,-3)
D' = (4,1)
Give the domain and range of the relation. Indicate whether the relation is a function or not.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is not a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is not a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
That's the answer.
I got the answer wrong on the test, although, I am confused if my teacher made a mistake or am I actually incorrect. Can you help me please
Answer:
I am so sorry to say that you are the one who made the miatake. Better luck next time!
What are the slope and y-intercept of the line 4y = -x - 32? PLEASE HELP
Answer: slope -1/4 y intercept -8
Step-by-step explanation:
In the form y = mx+b, m is the slope and b is the y-intercept. So let’s get it into this form, by getting y by itself.
4y = -x - 32
divide by 4 on every term
y = -1/4x - 8
therefore the slope is -1/4 and y intercept is -8
y - 15 =-27
One step equation
Answer:
Y=−12
I believe
What is the solution set for the open sentence, using the given replacement set ?
5x−7=8; {1, 2, 3, 4}?
x = 1
x = 2
x = 3
x = 4
Answer:
x = 3
Step-by-step explanation:
first move 7 into RHS in addition
then move t into RHS in division
If I have a 90 in math, and I have a final exam worth 20% of my grade, what’s the lowest I can get?
Answer:
a 40, aka a failing grade ( do ur test :) )
Step-by-step explanation:
Kennedy had the expression 3(2x-3x+8). She simplified and rewrote the
expression 3(8+x). If any, what was her error?
Answer:
Kennedy did not distribute the 3 to the numbers in the parentheses.
Step-by-step explanation:
The simplified expression should be -3x+24.
Please help!!!! With 8 and 9
Answer:
8. slope: = 1/2
9. equation: y=1/2x
given the quadratic equation f(x) = -0.5x squared what is the value of f(35)
Answer:
e
Step-by-step explanation:
e
Please help, thank you if you do
Answer:
symbolab
Step-by-step explanation:
Answer:
The slope is m=3/5 aka D.
Step-by-step explanation:
Which transformation maps B (2,5) to B'(-2,-5)?
A. A 90 degree rotation
B. Reflection about the y-axis
C. A 270 degree rotation
D. A 180 degree rotation
Answer: B
Step-by-step explanation: Because the positive numbers changed to negatives meaning that it flipped over an axis and since both of them changed it would be the y-axis
In a certain Algebra 2 class of 21 students, 6 of them play basketball and 10 of them play baseball. There are 7 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer: look up alaskan pipeline
Step-by-step explanation:
The largest cookie ever baked measured a radius if 51 feet. Witch of these is the closest to the area of the cookie
Answer:
8171.28
Step-by-step explanation:
Area of a circle formula-
A= (pi)(radius^2)
pi= 3.14
to answer THIS question
(3.14) * (51)^2
(3.14) * (2601)
= 8171.28
what is 424527.632823rounded two decimal places
Answer:
424527.63
Step-by-step explanation:
I'm not sure if this is what you were asking for but if your question was to round this number to the hundredth or(rounded two decimal places), this would be it.
B(x) = 93
solve the equation
Answer:
93/b. "divide each term by B and simplify"
what is 29503.488rounded two decimal places
Answer:29503.49
Step-by-step explanation:
Answer:
29503.49
Step-by-step explanation:
since the number in the thousandths place is greater than four, you round the number in the hundredths place up to the number that would come after that. In this case, 8 rounds up to 9
Kaylee has $0.90 worth of nickels and dimes. She has a total of 14 nickels and dimes altogether. By following the steps below, determine the number of nickels, x,x, and the number of dimes, y,y, that Kaylee has. You need 3 different solutions.
Answer:
kaylee has 4 dimes and 10 nickles.
Mutiply 4 by ten that equals 40 then multiply 10 by 5 and get 50
2. in second soution
Nickels are worth 0.05 and dimes are worth 0.10 so if nickes + dimes = 10 and 0.05 *nickles 0.10*dimes = $0.90, then there are 2 nickels and 8 dimes.
Step-by-step explanation:
What is the square root of 30 in simplified form?
square root of 5
square root of 3
it can't be simplified.
square root of 3
Answer:
5???
Step-by-step explanation: