Answer:
answer-8 Inches.
Step-by-step explanation:
Area of triangle=160 square inches
Base of triangle=40 inches
area of triangle=1/2*base*height160=1/2×40×height
160 =20×height
160/20=height
height=80 inches.
18. Write the equation of the following line in function notation
Answer:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Step-by-step explanation:
Slope:Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (-3, 1)
(x₂, y₂) = (1, -2)
Substitute these points into the formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]
m = -¾
Therefore, the slope of the given line is -¾.
Y-intercept:Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form, f(x) = mx + b:
f(x) = mx + b
-2 = -¾( 1 ) + b
-2 = -¾ + b
Add ¾ to both sides to solve for b:
-2 + ¾ = -¾ + ¾ + b
[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]
Equation of the Line in Function Notation:Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Simplify the following expression.
11/100 divided by 11/20
What is the domain of the relation?
Answer:
Domain: 3, 6, 8, 9, 7
Step-by-step explanation:
Domain: 3, 6, 8, 9, 7
(Domain, Range)
The domain of a function or relation is the set of all possible independent values the relation can take.
Hope this helps :)
Answer:
Domain: {3, 6, 8, 9, 7}
Step-by-step explanation:
A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:
Domain: {3, 6, 8, 9, 7}.
Which pair of functions are inverses of each other?
Answer: c ic the answer
c is the answer
Step-by-step explanation:
c is the answer
A box of pens and rubbers is divided equally into two bags.
In the first bag, the ratio of pens to rubbers is 3:5.
The second bag, the ratio of pens to rubbers is 1:2.
What is the ratio of pens to rubbers before the pile was divided into two bags?
Answer:
my answer is 3:5
Step-by-step explanation:
sana makatulong yan
find the measure of each numbered angle
Answer:
1= 70
2=110
3=46
4= 102
5= 37
Step-by-step explanation:
The second rate superhero and is Arch Enemy Melvin the minor menace started 700 miles apart and fleet street toward each other in their jet propulsion packs it took 5 hours for the two to meet if the superheroes speed was 10 mph slower than a minute what was the menaces speed
Answer:75 mph
Step-by-step explanation:
PLEASE ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER!! I APPRECIATE IT THANK YOUUUU
Which relation is a function
Answer:
The 1st one on the right is a function
Answer:
Parabola Graph (top-right)
Step-by-step explanation:
A graph represents a function given that none of the x-coordinates have more than one corresponding y-coordinates. Consequently, if a graph contains two or more different points with the same x-coordinate, then that graph does not represent a function.
An easier way of finding out whether a graph represents a function is through the vertical line test. In order to perform the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. A graph is a function if the edge of the ruler crosses the graph only once for every x -value.
Out of all the given options, the graph of an upward-facing parabola represents a function (top-right graph), as each vertical line contains only one point. Please see the attachment, where I performed the vertical line test.
(100 Points) (Marking as Brainiest)
Chris has a goal to get through at least 14 books by the end of the year. It takes him 4 hours to listen to one as an audiobook and it takes him 12 hours to read one on paper. He has at most 120 hours that he can spend on books. He wants to complete at least two audio books and at least four paper books. Write 4 inequalities that represent this situation. Let x be the number of audio books and y be the number of paper books.
Answer:
See belowStep-by-step explanation:
Audio book - x, time to listen one - 4 hoursPaper book - y, time to read one - 12 hoursInequalities
Chris has a goal to get through at least 14 books:
x + y ≥ 14He has at most 120 hours that he can spend on books:
4x + 12y ≤ 120He wants to complete at least 2 audio books and at least 4 paper books:
x ≥ 2y ≥ 4a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the perimeter of the base cna sum to no more than 108 in. what is the maximum colume for such a box
The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
Visit: https://brainly.com/question/20463446
Lee is creating a garden with the dimensions shown.
Lines are drawn inside a large triangle at each point to create smaller triangles. Line A B is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to A B is 36 degrees. Line Z Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to Z Y is 65 degrees. Line X Y is drawn to create a triangle that has 2 sides with a length of 8 feet. The angle opposite to X Y is 79 degrees.
He creates paths through the garden along Line segment A B, Line segment X Y, and Line segment Z Y. Which correctly compares the lengths of the paths?
The path along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B.
The path along Line segment A B is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment X Y.
The path along Line segment Z Y is longer than the path along Line segment X Y, and the path along Line segment X Y is longer than the path along Line segment A B.
The path along Line segment Z Y is longer than the path along Line segment A B, and the path along Line segment A B is longer than the path along Line segment X Y.
Mark this and return
divide. write your answer in simplest terms. 3/4 divided by 1 1/5
Answer:
1 13/20
Step-by-step explanation:
3/4 divide by 5/11
=3/4 times 11/5
=33/20
Convert
=1 13/20
The formula for the area of a triangle is A=1/2bh, where b is the base of the triangle and h is the height of the triangle. The area of the triangular sail of a sailboat is 126ft^2. The base is 12 ft. Find the height of the sail.
(Show steps please)
Answer:
H=21ft
Step-by-step explanation:
Height=2•Area/Base
Area=126ft^2
Base=12ft.
H=2•126/12=21ft
H=21ft
Hope this helps :)
Simplify 5 x a 5 x a
Answer:
(5)2 x (a)2
Step-by-step explanation:
Collect the like terms which in this case are 5 and a, then see how many times they show. Put brakets or an index based on how many times the term shows.
Which expression best estimates 6 3/4 divided by 1 2/3
A 7 divided by 2
B 6 divided by 1
C 8 divided by 3
D 3 divided by 2
Answer:
B is my answer si no sorry
at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 how much mac and cheese could abdulla buy with $20?
Answer:
8 pounds
Step-by-step explanation:
"purchased 3 pounds of mac and cheese for $7.50"
You would make this into an equation to figure out the price of one pound of mac and cheese (x):
7.50=3x
x=2.5
Next, you can create an equation to represent the price per pound.
Total price = 2.5(number of pounds)
Now, plug in the information you have:
20 = 2.5x
8=x
The sum of two numbers is 64 Twice the larger number plus five times the smaller number is 20. Find the two numbers
Answer:
The numbers are 100 and -36.
Step-by-step explanation:
Let x be the larger number
64 - x be the smaller number
x + ( 64 - x ) = 64
2x + 5 ( 64-x ) = 20
2x + 320 - 5x = 20
-3x = -300
x = 100
64 - 100 = -36
(6-4x+2u)(-8) use distributive property to remove parenthesis
Answer:
-16u+32x−48
Step-by-step explanation:
(6-4x+2u)(-8)
Rearrange terms.
(2u-4x+6)(-8)
Re-order terms so constants are on the left.
-8(2u-4x+6)
Distribute.
-16u+32x−48
Hope this helps :)
What is the cost to make one flag?
Answer:
$1.75
Step-by-step explanation:
3.5*2.5=(8.75)/2=4.375*0.4=1.75 dollars
The fastest train on earth is Maglev, a Japanese train which runs at a
maximum speed of 602 Km/h. Convert and express it’s speed into m/s.
Answer:
167.2 m/sec
Step-by-step explanation:
Convert 602 km/hr to m/sec, as follows:
602 km 1000 m
------------ * ----------------- = 602,000 m/hr
hr 1 km
Recall that 1 hr = 3600 sec. Convert 602,000 m/hr to m/sec:
602,000 m 1 hr
------------------ * ---------------- = 167.2 m/sec
1 hr 3600 sec
Please help with this dilation!
Answer:
I think it is 15 ..............
What is the y-intercept of the following table?
Gasoline Usage
Miles Driven,
Х
Gallons of
Gasoline in
Tank, y
0
15
10
14.6
20
14.2
35
13.6
60
12.6
75
12
Your answer
Answer:
15
Step-by-step explanation:
it's where you start. where your going to start you slope on the graph which means that the x would be 0
A radar gun measured the speed of a baseball at 92 miles per hour.
If the baseball was actually going 90.3 miles per hour, what was the percent error in this measurement?
Answer:
subtract the actual measurement from the initial measurement
ie. 92-90.3 =1.7 %
You can calculate the error and then measure how much percent of the real value, the error came.
The percent error in the considered measurement is of approx 1.88%
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.
[tex]\text{Percent error} = |\dfrac{Error}{\text{Actual value}}| \times 100 = |\dfrac{\text{(Actual value - Estimated value)} }{\text{Actual value}}| \times 100[/tex]
Sine in the given condition, we have:
Actual measurement = 90.3 miles per hourEstimated measurement = 92 miles per hourThus, we have
Error = 90.3 - 92 = -1.7 miles per hour
Thus, the percent error is calculated as:
[tex]\text{Percent error} = |\dfrac{-1.7 }{90.3}|\times 100 = \dfrac{1.7 \times 100}{90.3} = \dfrac{170}{90.3} \approx 1.88\%[/tex]
Thus,
The percent error in the considered measurement is of approx 1.88%
Learn more about percent error here:
https://brainly.com/question/3105259
Geometry help, please.
Answer:
c=20
Step-by-step explanation:
Use Pythagorean Theorem.
a squared plus b squared equals c squared.
12^2 + 16^2 = c^2
Now rearrange for c.
c = [tex]\sqrt{(12^2+16^2)}[/tex]
The answer is 20.
Tim needs a total of $499 to buy an ipad. He has $187. How much more money does he need to save to buy the Ipad?
Answer:
312
Step-by-step explanation:
499-187
Answer: Tim needs to save $312 more.
Step-by-step explanation: To find the answer, subtract. $499 minus $187 equals $312. Hope this helps! :>
Hurry Yes Please Help I am handing A Brainlist
[tex]y \geqslant - x + 3[/tex]
[tex]y < \frac{1}{2} x + 3 \\ [/tex]
now just put the coordinates of point ( 1 , 1 ) in the above inequalities and check if they correct or wrong :
[tex]1 \geqslant - 1 + 3[/tex]
[tex]1 < \frac{1}{2} (1) + 3 \\ [/tex]
So :
[tex]1 \geqslant 2[/tex]
[tex]1 < 3.5[/tex]
1 is lower than 3.5 of course but geuss what ?
Is 1 higher than 2 or equal to 2 ? Nope not at all
Thus the correct answer would be :
" no , it is not a solution "
Could you please help me?!
Answer:
Step-by-step explanation:
Facts to know :
-diagonals of rhombus are angle bisector so angle A is double 28
∡A = 28*2 = 56°
-opposite angles in a rhombus are congruent so angle A and angle C have the same measure
∡C = 56°
-the sum of angles in a rhombus is 360°
360 - 2*56 = 360-112 = 248
248 /2 = 124
∡B = ∡D = 124°
you buy a pair of rollerblades on sale for $64.99. This is $4.98 less than the original price. If g represents the original price, what equation cannot be used to find the original price
g = 64.99 - 4.98
Step-by-step explanation:
If g is the original price then if you subtract the difference between the original price and the current price.
What is the measure of ZPRQ?
P
O
A. 172°
1020
B. 70°
70"
s
C. 86°
D. 1020
Answer: should be 86°, not sure.
Step-by-step explanation:
39.2 is 95 percent of what?