Answer:
5 , 7 , 8 represent the side of acute angled triangle
Set B with sides 5 , 7 , 8 represent the side of acute angled triangle.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that:
Set of numbers.
Now, We use the following result:
When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.
First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.
if sum > Square of last side ⇒ it is Acute Triangle
if sum = Square of last side ⇒ it is Right Triangle
if sum < Square of last side ⇒ it is Obtuse Triangle
a). 4 , 5 , 7
4² = 16 , 5² = 25 , 7² = 49
16 + 25 = 41
Hence, 41 < 49
⇒ It is an Obtuse Triangle.
b). 5 , 7 , 8
5² = 25 , 7² = 49 , 8² = 64
25 + 49 = 74
Hence, 74 > 64
⇒ It is an acute Triangle.
c). 6 , 7 , 10
6² = 36 , 7² = 49 , 10² = 100
36 + 49 = 85
Hence, 85 < 100
⇒ It is an Obtuse Triangle.
d). 7 , 9 , 12
7² = 49 , 9² = 81 , 12² = 144
49 + 81 = 130
Hence, 130 < 144
⇒ It is an Obtuse Triangle.
Therefore, Set B with sides 5 , 7 , 8 represent the side of acute angled triangle.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
How would I solve the equivalent fraction to 2/6.?
Answer: See explanation
Step-by-step explanation:
To solve the equivalent fraction to 2/6, you divide or multiply the numerator and the denominator by thesame set for numbers. For example
2/6 = (2 × 3) / (6 × 3) = 6/18
2/6 = (2 ÷ 2) / (6 ÷ 2) = 1/3
The above fractions are both equivalent fractions of 2/6
Graph and find the system of solutions ( I will give brainliest if the answer is correct )
Answer:k so graph 4 and then go 2 down for every one to the right and for the second one start by graphing -3 and go 5 up for every 1 to the right
Step-by-step explanation:here are some points -> (0,4) (1,2) (2,0) and for the second one -> (0,-3) (1,2) (2,7) and solution to lines is (1,2)
help me i need a 3/3
Answer:
4.65
Step-by-step explanation:
144.15/31=4.65
question is in picture
Answer:
6
Step-by-step explanation:
the first thing I did to smome but you know 5AM was a l
5x-2y=12
6x+2y=32
find the solution
Answer:
(4,4)
Step-by-step explanation:
There are two ways that you can solve this. You can solve it with the help of technology or you can solve it traditionally. I will show how to do it in both ways so you can pick which way you want to solve it.
Traditional Method:
5x - 2y = 12
6x + 2y = 32
Look at the variables and numbers in both equations. One of them has to be the same value but have to have opposite signs. The 2y in both equations are the same value but have different signs. That's what we want. We can add everything in the equation now. (5x + 6x), (-2y + 2y), and (12 + 32).
11x = 44
To get x alone, Divide each side by 11. Then we will get the value of x.
11/11x = 44/11
x = 4
Horray! We got x, but what about y? Pick one of the equations. I will go with 5x - 2y = 12. Substitute the x value inside the equation.
5(4) - 2y = 12
20 - 2y = 12
-2y = -8
y = 4
Good! We figured out y. Now we know the solution! The solution is (4,4).
Technology Method:
Grab a graphing calculator. Enter the equations. You will see two lines. Look at where they intersect. The point where they intersect is the solution. That line is (4,4). You could also do this on a piece of paper by graphing the equations.
I hope this helps! Let me know if you need any more help or if I got anything wrong.
Imagine you are an architect hired by a newly elected mayor to design a city. What questions might you have for the mayor before you could start planning? How would scale factor and the use of scale drawings come into play with your design? What problems could you run into if your scale factor was to large or small?
Answer:
huh?
Step-by-step explanation:
Find the inverse f(x) = 4 – 9x
Answer:
[tex]-\frac{x-4}{9}[/tex]
Step-by-step explanation:
Replace x with f(x)
solve for f(x)
Guina made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guina use to find the length of side B?
StartFraction 1 centimeters over 3 inches EndFraction = StartFraction 3 centimeters over x centimeters EndFraction
StartFraction 3 centimeters over 1 centimeter EndFraction = StartFraction x centimeters over 3 centimeters EndFraction
StartFraction 1 centimeter over 3 inches EndFraction = StartFraction 3 centimeters over x inches EndFraction
StartFraction 3 inches over 3 centimeters EndFraction = StartFraction x inches over 1 centimeter
Answer:
Proportion: 1/3=3/x
Step-by-step explanation:
The "1/3" proportion is telling us how the scale measurement relates to the real measurement.
The "3/x" describes the length of side B.
Now it is easy to figure out the answer! :D
Hope it helped!
Answer:
c
Step-by-step explanation:
i took the test mark brainlest if right
Can you guys help me find 1/3 + 5/6 please!
Answer:
7/6
Step-by-step explanation:
1/3=2/6
2/6+5/6=7/6
Answer:1.16666666667
Step-by-step explanation:
What is the unit rate for 21 3/4 and 2 1/2
Answer:
I think it is 19 1/4
Step-by-step explanation:
How I got this was I took 21 3/4 and subtracted 2 1/2 which gave me 19 1/4.
Hope this is right and helps.
uhhh please help lol
Answer: c
..........................
Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm,
3 cm
16 cm
Question 1/14
v
> NEXT
BOOKMARK
BB x
19
a
0 00:47:06
1
Televisions and computer monitors are measured diagonally (a 30 inch screen refers to the diagonal from corner to corner). Fred
recently acquired an entertainment center for his living room and wants to purchase a 55 inch television that he knows is 27 inches
tall. However, his entertainment center can only accommodate a width of up to 45 inches. Will the television that he wants to
purchase fit in his entertainment center?
Α)
A No
B
Yes
Belt as
Answer:
vh ,mnjjhbjvj n
Step-by-step explanation:
Write a ratio and a percent for the shaded area.
3/10, 27%
1/2, 50%
1/3, 33.33%
3/10, 30%
PLEASE HELP ME IVE BEEN STUCK BECAUSE I THOUGHT THAT 12/60 WAS 1/5 SIMPLIFIED??
Answer:
1/3, 33.33%
Step-by-step explanation:
The full square is 6x6 which means there are 36 tiles in total. The shaded area is 3x4 which is 12. 12/36 is 1/3 simplified or 33.33%.
Answer:
1/3 and 33.33℅
Step-by-step explanation:
total number of rectangles is 36 and the shaded are 12
so 12/36 =1/3
1/3= 0.3333
to change to percent we multiply by 100
0.3333×100℅ = 33.33℅
HELP ME PLEASE BC I ENTIRELY NEED IT!
Which point is collinear to points A and D?
HELP!!
What is the surface area of this shape?
2 triangular faces
1/2bh
10x15=150
2x150= 300
‘back’ face
7x20=140
‘front’ face
7x25= 175
‘bottom’ face
7x15= 105
total: 585m^2
what slope contains points -1,-3 and 3,5
Answer:
A slope of 2
Step-by-step explanation:
(-1,-3) (3,5)
x1 y1 x2 y2
y2-y1/x2-x1= slope
5-(-3)/3-(-1)=
5+3/3+1= 8/4= 2
y=
y=
\,\,-4x
−4x
y=
y=
\,\,3x+28
3x+28
answer:
don't know, don't worry
mark me as brainlist
Sam jogs every 2 days. He does Pilates every 3 days. Suppose Sam jogs and does Pilates on October 1. What are the next three dates on which he will jog and do Pilates?
Answer:
October 7, October 13, 0ctober 19
Step-by-step explanation:
Jog = every 2 days
Next days from October 1 = October 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31
Pilates = every 3 days
Next days from October 1 = October 4, 7, 10, 13, 16, 19, 22, 25, 28, 31
What are the next three dates on which he will jog and do Pilates?
= October 7, October 13, 0ctober 19
The next three dates on which he will jog and do Pilates are October 7, October 13, 0ctober 19
Please solve the following systems of equations using the elimination method
1. 2x + y =12
-3x + y = 2
2. -2x + 3y = -1
2x + 5y = 25
Given that D( x ) = 2 x , select all of the following that are true statements.
D( x ) is a direct variation.
D( x ) is a function.
D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).
x is the dependent variable.
D(6) = 3
Answer:
3rd
Step-by-step explanation:
Answer:
D(x) is a function. TRUE. It is a function of x.
x is the dependent variable. FALSE. x is the independent variable because the function is expressed in terms of the independent variable.
D(6) = 3. FALSE. D(6) = 2(6) = 12. D(6) should be equal to 12.
D(x) is a direct variation. TRUE. This holds true to the definition of direct variation where one variable is related to the other variable at the same constant multple. In this case, it is 2.
D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). TRUE. If you replace x with the first coordinate, the function would be equal to the corresponding second coordinate.
Step-by-step explanation:
A won a race at the local fair by running 10.5 miles in exactly 2 hours. At this constant rate, how long does it take the same dog to run the 21 mile state fair race? Use ratio reasoning to solve. * 1 point
Answer:
The dog will run the 21-mile race in 4.04 hours
Step-by-step explanation:
The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.
To do this, we can set up a simple relationship:
If he ran 10.5 miles in 2 hours,
He will run x miles in 1 hour
Cross multiplying, we have
x = (10.5 X 1)/2 = 5.25 miles in 1 hour.
We can now comfortably say that he runs at the rate of 5.2miles/hr
He now goes to the state fair race, which is 21 miles long.
if he runs at the rate of 5.2 miles in 1 hour,
He will run 21 miles in y hours
y = 21 / 5.2 = 4.04 hours
The dog will run the 21-mile race in 4.04 hours
Missy makes punch for a party. She uses 3 1/2 cups of water, 2 3/4 cups of frozen pineapple juice. Approximately how many liters of punch does this recipe make. (1 Litter = 4.23 cups)
A. 0.423 L
B.42.3 L
C.2.63 L
D.1.42 L
Answer:
D
Step-by-step explanation:
3.5 + 2.75 = 6.25
6.25/4.23 = 1.42 L
Approximately 1.48 liters of punch does this recipe make.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Missy makes punch for a party. She uses 3 1/2 cups of water, 2 3/4 cups of frozen pineapple juice.
∴ The total volume of the punch is ([tex]3\frac{1}{2} + 2\frac{3}{4}[/tex]) = 7/2 + 11/4 = (14 + 11)/4 = 25/4
cups of punch.
Now, 1 liter is 4.23 cups.
∴ 25/4 or 6.25 cups is (6.25/4.23) = 1.48 liters.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
If the principle is $4,000 and the rate of interest is 8% (simple interest), what is the amount of interest after one year?
Answer: $320
Step-by-step explanation:
A principal of $4,000 was invested.
The principal increases at a rate of 8% every year by simple interest.
After 1 year the total in the account can be calculated by the formula:
= Principal * ( 1 + rate * time)
= 4,000 * ( 1 + 8% * 1)
= $4,320
Interest:
= Amount after a year - original price
= 4,320 - 4,000
= $320
(4-8)( 12, 8)
Write the equation of a line using slope intercept form
Answer:
y=2x-16
Step-by-step explanation:
so gradient is 8-(-8)/ 12-4
so 16/8 which is 2
equation of line is: y= 2x+c
substitute the values into x,y
8=2(12)+c
8=24+c
8-24=c
-16= C
this is because when it goes over the equal sign it becomes negative so now the equation is y=2x-16
Answer:
Y=2x+16
Step-by-step explanation:
Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long. Estimate the diameter of Taiga's exercise hoop? Round your answer to the nearest thousandth of a meter.
Answer: 0.796 meters
Step-by-step explanation:
Circumference of circle = [tex]2\pi r[/tex] , where r=radius
Here, Circumference of loop = 2.5 meters
i.e. [tex]2\pi r=2.5[/tex]
[tex]\Rightarrow\ r=\dfrac{2.5}{2\pi}[/tex]
[tex]\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m[/tex]
Diameter = 2r = 2(0.398) = 0.796 meters
Hence, The diameter of Taiga's exercise hoop = 0.796 meters
Which statement explains whether w = 8 is a solution to the equation 5 + w = 58?
PLEASE ANSWER ASAPP!!
Answer:
B
Step-by-step explanation:
3a + 11 > 5
3a > -6
a > -2
Which of the following is an even function?
f(x) = x1
Of(x) = x2 - 1
Of(x) = -3x
O Rx) = 3/8
Answer:
[tex]f(x) = x^{2} - 1[/tex]
Step-by-step explanation:
The definition of even function is: [tex]f(x) = f(-x)[/tex]
I am going to assume the second option is [tex]f(x) = x^{2} - 1[/tex] and the answer.
[tex]f(x) = x^{2} - 1\\f(-x) = (-x)^{2} - 1 = x^{2}-1[/tex]