Answer:
Check explanation below.
Step-by-step explanation:
For this, Ill assign X the value of 2.
(2+2)=(2^2+4)
[tex]4\neq 8[/tex]
An equilateral triangle with side lengths of 8.7 centimeters is shown. An apothem has a length of a and the radius has a length of 5 centimeters. The apothem and radius form a triangle with a base length of b. Which statements about finding the area of the equilateral triangle are true? Select three options
The image of the triangle is missing, so i have attached it.
Also, the options are;
A) The apothem can be found using the Pythagorean theorem.
B) The apothem can be found using the tangent ratio.
C) The perimeter of the equilateral triangle is 15 cm.
D) The length of the apothem is approximately 2.5 cm.
E) The area of the equilateral triangle is approximately 65 cm².
Answer:
Options A, B & D are true
Step-by-step explanation:
A) We are told that the triangle is an equilateral triangle.
Thus, the 3 sides equal 8.7 cm.
Now from the image, b is half of one of the sides.
Thus, b = 8.7/2 = 4.35 cm
Now, we want to find the apothem "a".
Using Pythagoras theorem, we have;
a² + 4.35² = 5²
a² = 25 - 18.9225
a² = 6.0775
a = √6.0775
a ≈ 2.5 cm.
Thus, option A is true as pythagoras theorem was able to calculate the apothem "a"
B) since the main triangle is equilateral, it means each angle is 60°.
Now,the radius line from one corner point to the centre will divide the 60° angle into 2 equal parts.
Thus, the angle made by the radius line with the base of the triangle is 60/2 = 30°
Now,from tangent ratios, we know that;
Opposite/Adjacent = tan θ
In the small triangle, opposite is apothem "a" while adjacent is b = 4.35 cm
Thus;
a/4.35 = tan 30
a = 4.35 tan 30
a ≈ 2.5 cm.
Thus, option B is correct as Tangent ratio can be used to find the apothem
C) The perimeter of equilateral triangle = 3x
Where x is length of one side.
One side is 8.7 cm
Thus, perimeter = 3 × 8.7 = 26.1 cm
Thus option C is not correct.
D) From calculations above, we saw that in both options A & B, the apothem is approximately 2.5 cm.
Thus, option D is true.
E) Area of triangle is;
A = ½ × base × height
Base = 8.7 cm
To get height, we will use trigonometric ratio. Thus;
h/8.7 = sin 60°
h = 8.7 sin 60°
Thus;
A = ½ × 8.7 × 8.7 sin 60°
A = 32.77 cm²
Thus is not equal to 65 cm². Thus, option E is not correct.
Answer:
A, B, D
Step-by-step explanation:
if y=1/3 when x=1/2 find y when x=1/4
Answer:
y=1/3
3y=1...........(1)
x=1/2
2x=1..........(2)
:.
2x=3y
when x=1/4
2×1/4=3y
3y=1/2
y=1/(2×3)=1/6 is your answer
Denise runs a 10 kilometer race (6.2 miles). Her average time per mile is shown.
Answer:
Step-by-step explanation:
8.5*6.2=52.7
The required time taken by Denise to complete the race is 52.7 minutes.
Given that,
Denise runs a 10-kilometer race (6.2 miles). Her average time per mile is 8.5 minutes per mile.
Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Denise runs a 10-kilometer race (6.2 miles).
Denise run 1 mile in 8.5 minutes
Time is taken by denis to run 6.2 miles = 6.2 * 8.5
= 52.7 minutes
Thus, the required time taken by Denise to complete the race is 52.7 minutes.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Select the correct answer.
What is the value of
log,
OA.
1
B.
2
O c.
3
OD. 27
Plz I need help I'm doing my test right now!!!!
what is a independent and dependent variable
Answer:
The independent variable doesn't rely on anything to change; it is independent
The dependent variable relies on the independent variable; what happens to it depends on the independent variable
Think of independent and dependent variables like cause and effect: the independent variable is the cause, while the dependent variable is the effect. For example; in an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.
I hope that wasn't to confusing!
I hope this helps! (✿◕‿◕✿)
what is the point slope intercept form of Y=2/3X -2 and the standard form? pls help asap
Answer: slope intercept is y=mx+b
standard form is Ax+By=C.
point slope form is y-y₁=m(x-x₁)
so y=2/3x+2 is slope intercept
Answer:
+Slope-intercept is... y=mx+b
+The standard form is... Ax+By=C.
+A point-slope form is... y-y₁=m(x-x₁)
+So... y= x+2 is... slope-intercept
❤ I hope this helps you, ma'am/sir/whatever your pronouns are! ❤
put this numbers from greatest to least
0.2734, 23.74, 0.0347, 0.43,0.0043
Answer:
Step-by-step explanation:
23.74, .43, .2734, .0347, .0043
write an equation of line parallel to the line y=2/5x+10 and passes through the point 10/11
Answer: y=2/5x+b
Step-by-step explanation:
A 20 gallon tank is 3/4 full. How many gallons are in the tank?
Answer:
15 gallons
Step-by-step explanation:
(3 / 4) * (20 US gallons)
= 15 gallons
Answer:
15 gallons are in the tank
Step-by-step explanation:
3/4(20)
Plsssss helppppp y-27 greater than or equal to -13
Answer:
y-27 >= -13
Step-by-step explanation
you are finding y, so you will leave the y and convert the 27 into a positive 27.
y >= -13 + 27
Once that is done, simplify.
-13+27 = 14
so your answer will be:
y>14
if you go to school 5 days a week are the weekends your technical days off?
Answer:
Yes! The weekend is time where you get a break from school/homework and relax! :)
What is the value of x in the proportion?
9/12=12/x
Answer:0.75
Step-by-step explanation:
Four students are to solve 5(x-3)=2x+6 which solution and explanation is right?
Answer:
pft
Step-by-step explanation:
What is the 325th Triangular number?
Answer:52813
Step-by-step explanation:
To get the 325th triangular number all you have to do is n x (n+1) /2
N=325
325 x 325+1
325x325=105625
105625+1=105626
105626/2=52813
There you go=52813 is the 325th triangular number
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F.
His body temperature in the evening is __?__°F.
Answer:
102.6
Step-by-step explanation:
add 99.2 + 3.4
THANK YALL FOR YALLS HELP CAN yall answer this 5x3x4x5= and how do you give someone a brainiest
I think the answer is
300
Answer: 5X^12
Step-by-step explanation: 5*x3*x4*x5
=5*x12
=5x12
Given point Q (2,5), which of the following points is NOT 5 units away from point Q?
A(-2,2)
B(5, 1)
C (3,2)
D(-1, 1)
Answer;
C ; (3,2)
Explanations;
Mathematically, the equation of the distance between two points can be given as;
D^2 = (y2-y1)^2 + (x2-x1)^2
The distance we are dealing with is 25
Mathematically, the square of 3 and the square of 4 added together gives 25
So the coordinates that will be our answer will be such coordinates that will not give 3 and 4 for either of x or y axes
Looking at it;
Let’s work with the first option;
D^2 = (5-2)^2 + (2-(-2))^2
D^2 =3^2 + 4^2
We can see that this works
Second option;
D^2 = (5-1)^2 + (2-5)^2
D^2 = 4^2 + (-3)^2
Since (-3)^2 is same as 3^2, this option works too
Third option
D^2 = (5-2)^2 + (2-3)^2
D^2 = (3)^2 + (-1)^2
We can see that the sum here won’t give 25 , so this is our answer
Divide. Write your answer in simplest form. 1/9 divided 5/4?
Answer: (1)/(9)-:(5)/(4)
Step-by-step explanation:
*^*^c(1)/(9)-:(5)/(4)*^*^
*^*^(1)/(9)-:(5)/(4)*^*^
*^*^The result can be shown in multiple forms. *^*^
*^*^Exact Form:4 45 *^*^
*^*^Decimal Form:
*^*^0.0 8
imagine having friends :(
Answer:
I couldn't
The ones I used to be friends with now all hate me lol ;-;
Step-by-step explanation:
is this a function or not
Answer:
No
Step-by-step explanation:
x=5 produces y=3 and y=5 so the relation is not a function.
Yes that is function by looking that this
y
Solve the notable products (x-12).(x+12)
Answer:
x^2 -144
Step-by-step explanation:
HURRY PLEASE!! I’ll mark you as brainliest
Which graph shape would represent the connected
points in Celeste's function table?
A. A straight line that slopes up from left to right
B. A straight line that slips down from left to right
C. A symmetrical V shape that opens down
D. A symmetrical face shape that opens up
Answer:
I believe the answer would be A
Step-by-step explanation:
There is no possible slope being involved so B, C, or D couldn't be the answer.
Answer:
A. A straight line that slopes from left to right.
Step-by-step explanation:
y = mx + b
Help mehh please
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17
Answer:
The real answer is -17, do the math.
Step-by-step explanation:
28 - 45= -17
28 + 17 = 45
45 - 28 = 17
A system of equations and its solution are given below system
System A
Solution: (-2,1)
To get system B below, the second equation in a system A was replaced by sum of that equation and the first equation in system A mutiplied by -2.
System B
5x - y = -11
A) The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
B) The second equation in system B is 7x = 30. the solution to system B will not be the same as the solution to system A.
C) The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
D) The second equation in the system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
What does this mean f(5)=-10
Which statement represents the parallel postulate in Euclidean geometry, but not elliptical or spherical geometry?
1 .Through a given point not on a line, there exists no lines parallel to the given line through the given point.
2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
3.Through a given point not on a line, there exists more than one line parallel to the given line through the given point.
4.Through a given point not on a line, there exists exactly three lines parallel to the given line through the given point.
Answer:
2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation:
The object of "Euclidean geometry" (more commonly called "plane geometry") is, in principle, the study of the shapes and properties of natural bodies. However, geometry is not an experimental science since its object is not to study certain aspects of nature but a necessarily arbitrary reproduction of it.
After the definitions, Euclid then poses his famous postulates (his requests), the fifth of which has remained Euclid's postulate, often called axiom (or postulate) of parallels and which was the subject of much research and controversy as to its necessity:
Given two points A and B, there exists a line passing through A and B. Any segment [AB] can be extended into a straight line passing through A and B. For any point A and any point B distinct from A, we can describe a circle with centre A passing through B. The whole right angles are always equal to each other. By a point outside a line, we can draw a parallel and only one to this line.From the above explanation, we could deduce that the correct option is Option 2.
Answer:
The answer is B, Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation:
I need help!!! :( pleaseeee
Answer:
2/8 more days
Step-by-step explanation:
5/8-3/8=2/8
pls help me find the value
Answer:
The answer is 0.
Explanation:
2/3 x 0 = 0
0 x -3 = 0
I hope it helps you...
Answer:
1Step-by-step explanation:
[(3/2)⁰]⁻³
apply the exponent rule: (aᵇ)ˣ = aᵇˣ, a≥0
= (3/2)⁰ ⁽⁻³⁾
note that 0 * (-3) = 0 so,
=(3/2)⁰
apply exponent rule: a⁰ = 1, a≠0
= 1
Need Help with 44.. picture above
Answer:
Ok:
Step-by-step explanation:
I see that you set up 90 miles = 60 mph * t, where you found out that t = 1.5. What what you needed to do was set 180 miles = 45 mph * t. This is because it is 45 mph for the whole trip. Then, you find that t = 4 hours. That that means that he spent 2.5 hours driving back. Then, we can do d=vt and find 90/2.5 as the speed he went home at. Which comes out to be 36 mph.
Which diagram suggests a correct construction of a line that is parallel to given line I and passes through given point Q?
Answer:
I've done this before, I think it was C.
Step-by-step explanation:
Answer: The answer is C
Step-by-step explanation: