The diagram shows a right angled triangle.
The length of the base of the triangle is 2 square root 3 cm. the length of the hypotenuse of the triangle is 6cm. The area of the triangle is A cm squared.
Show that A = k square root 2 giving the value of k.
Answers
Answer:
6 root 2
Step-by-step explanation:
Pythagous Therom
A^2 = B^2 + C^2
B^2 = C^2 - A^2
B^2 = 36 - (2 Root 3)^2
B^2 = 24
B = 2 root 6
Base x Height / 2 for area of Triangle
2 root 3 x root 24 = 12 root 2
12 root 2 / 2 = 6 root 2
The right triangle is the one where one of the angles is a right angle (90 degrees) or two of the sides are perpendicular.
Finding the value of k:The right-angled triangle is one where one of the angles is equal to 90°. The sum of the other 2 aspects is 90°. The perpendicular and the base of the triangle are indeed the sides that include the right angle. The hypotenuse, which would be the longest of the three sides, is the third side.In [tex]\Delta[/tex] ABC
h² = 6² -(2√3)²
h² = 36-2² × √3²
h² = 36- 4× 3
h² = 36- 12
h² = 24
h =√24
h = 2√6 cm
Area = [tex]\frac{1}{2}[/tex]× BC × h
= [tex]\frac{1}{2}[/tex] × 2√3 × 2√6
= 2√18
= 6√2
compare it with A= K√2 So K= 6
Find out more about the right angled triangle here:
brainly.com/question/3770177
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Step-by-step explanation:
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Answer:
n = 2
Step-by-step explanation:
Given nx + y = 4, if we rearrange in slope-intercept form: y = -nx + 4
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We can now solve for n. The slope here is "-n", also represented by rise/run or OA/-OB = 4/-2 = -2.
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Challenge: Perla worked 4 hours at her job on Saturday and then spent $12.75, in the supermarket, on her way home. She worked 5 hours on Sunday and earned 1.5 times her normal hourly rate because it was a holiday. She spent $8.50, at the florist, on her way home on Sunday. If Perla had $70.75 after her spending, determine her normal hourly rate.
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Note:
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Answers
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What is the answer to -2 3/4 ÷ 5/-9 ??
Answers
Answer:23 /180
Step-by-step explanation:
−23/ 4 /5 /−9= 23 /180
Answer: 99/20
Step-by-step explanation:
-2 3/4 / 5/-9
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Tell whether each proportion is true or false and prove your answer.
Answers
Answer:
the proportion is false
Step-by-step explanation:
5.5/7.5 = 11/15
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Lin is solving the inequality 15−x<14. She knows the solution to the equation 15−x=14 is x=1 How can Lin determine whether x>1 or x<1 Is the solution to the inequality?
Answers
Answer:
x > 1
Step-by-step explanation:
Given the inequality ; 15 - x < 14
Since the solution to the equation 15−x=14 is x=1 ;
Then we obtain the value of x for which the inequality expression is true :
If x > 1 ; take x = 2
15 - 2 < 14
13 < 14 (true)
If x < 1 ; take x = 0
15 - 0 < 14
15< 14 (not true)
Hence, solution is x > 1
Solve for x in the diagram below.
(2x + 45)°
Answers
Answer:
x=45 (degrees)
Step-by-step explanation:
(2x+45)+x= 180 (linear pair)
3x+45=180
3x=180-45
3x=135
x=45 (degrees)
Answer:
x=45
Step-by-step explanation:
(2x+45)+x= 180 (linear pair)
3x+45=180
3x=180-45
3x=135
x=45
Please answer this !!!!!!!!
Then maybe you will be the Brainlist!!!!
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Answer:
A. 60
B. 50
C. 5
Hope this helped :3
ANSWERS
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B THE HEIGEST SPEED OF VAN IS 50 KM/H
C FOR 10 sec THE VAN IS TRAVELING FASTER THAN CAR
PLEASE MARK ME AS BRAINLIEST
Are these triangles similar? Why?
A. Yes, SSS~ Postulate
B. Yes, SAS~ Postulate
C. Yes, AA~ Postulate
D. No, they are not similar.
Answers
Answer:
Step-by-step explanation:
<Q is common to both triangles.
130 / 40 = 3.25
Call DQ = x
40/130 = x / (x + 72) Cross multiply
40*(x + 72) = 130*x
40x + 2880 = 130x Subtract 40 x from both sides
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x = 32
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The ratios are the same.
Therefore the triangles are similar by SAS
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Which classification is most precise for each figure?
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PLEASE ANSWER THIS QUESTION AND I WILL GIVE YOU 20 POINTS AND MAKE YOU BRAINIEST!!!!
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Answer:
c. parallelogram
Step-by-step explanation:
The given figure is a parallelogram.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
In the given quadrilateral, opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Same-Side interior angles are supplementary.
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The diagonals of a parallelogram bisect each other.
Hence, the given figure is a parallelogram.
To learn more on Quadrilateral click:
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Step-by-step explanation:
A cylinder has volume 45 pi and radius 3. What is its height?
Answers
Answer:
Height = [tex]\frac{5}{\pi }[/tex]
Step-by-step explanation:
V = Volume
r = Radius
h = Height
[tex]h=\frac{V}{\pi *r^{2} }[/tex]
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I hope this helps
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The function shown describes f(x), the cost (in hundreds of thousands of dollars) of making x bicycles (in thousands).
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Answer:
1401.25
Step-by-step explanation:
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What inverse operation should be used to isolate the variable in the equation k − 9 = 10?
Answers
Answer:
+9
Step-by-step explanation:
k-9=10
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Answer and Step-by-step explanation:
Essentially, the figure FEHG got scaled by a factor of 1.5, and turned into BADC
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Answer:
The x would be 3.6
Step-by-step explanation:
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agree or desagree ? ..........
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Answer:
Disagree.
If you rotate the octagon 90° it will look the same.
good luck, i hope this helps :)
Answer:
Disagree
Step-by-step explanation:
If you have any shape and you rotate it 90 degrees, it moves down and to the right, not onto itself.
Write about a
way
how
you have used mathematics inside or outside of school. *
Plsss help it is important
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Answer:
I have used mathematics at the store when i am buying something.
Step-by-step explanation:
0 Example: Loan payments of $400 due 95 days ago and $700 due today
are to be repaid by a payment of $600 thirty days from today and the
balance in 125 days. If money is worth 6% and the agreed focal date is
125 days from today, what is the size of the final payment?
Answers
Answer:
[tex]X=\$519.48[/tex]
Step-by-step explanation:
From the question we are told that
Loan 1 [tex]X_1=\$400[/tex]
Loan 1 due [tex]t_1=95days[/tex]
Loan 2 [tex]X_2=\$700[/tex]
Loan 2 due[tex]t_2=0days[/tex]
Payment [tex]Y=\$600[/tex]
Worth of money [tex]w=6\%[/tex]
Payment due [tex]t=30days[/tex]
Focal date [tex]t_f=125days[/tex]
Generally [tex]\$400[/tex] was due 95days ago
Therefore
[tex]125+90=220days[/tex](total days to consider)
Therefore
[tex]300+400 =700[/tex] is due today
125days left
Given
600 due in 30days
[tex]125-30=95days[/tex]
Generally the Final payment is mathematically given by
[tex]400(1+ 0.06*\frac{220}{365} ) + 700(1+0.06*\frac{125}{365} )=600(1+0.06*\frac{95}{365} )+X[/tex]
[tex]X=1128.9692 - 609.3698[/tex]
Therefore the
[tex]X=\$519.48[/tex]
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Answer:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Simplify. 1.5m ^7(-4m ^5)^2
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D.24m^17
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Answer:
D. 24m^17
Step-by-step explanation:
Answer:
D. 24m^17
Step-by-step explanation:
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Step-by-step explanation:Ignore the point, put it withou the point
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Answer:
Step-by-step explanation:
It can be shown that all four sides of this figure have the same length. This, in turn, is the definition of a rhombus.
Find the degree of the monomial.
6r2n4t
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Answer:
idek
Step-by-step explanation:
5 The area of a rectangular lawn is 255 m². If its length is 15 m, find its perimeter.
Answers
255=15×x
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Step-by-step explanation:
tan(30) = 7 / x
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20 subtracted from the product of x and 10
Answers
Answer:
10x-20
Step-by-step explanation:
x times 10 is 10x
10x - 20 = 10x - 20
in conclusion you cannot subtract a number from a variable
20 subtracted from the product of x and 10?
answer : 10x-20
