Answers
Answer:
KN = 11
Step-by-step explanation:
In right triangle LNM, by Pythagoras theorem:
[tex]LN=\sqrt{LM^2 -MN^2} \\ \\ \implies \: LN=\sqrt{ {(100)}^{2} -(80)^2} \\ \\ \implies \: LN=\sqrt{ 10000 -6400} \\ \\ \implies \: LN=\sqrt{ 3600} \\ \\ \implies \: LN=60[/tex]
In right triangle LNK, by Pythagoras theorem:
[tex]KN = \sqrt{LK^2-LN^2}[/tex]
[tex]\implies KN = \sqrt{(61)^2-(60)^2}[/tex]
[tex]\implies KN = \sqrt{3721-3600}[/tex]
[tex]\implies KN = \sqrt{121}[/tex]
[tex]\implies\huge{\orange{ KN =11}}[/tex]
Answer:
11[tex] \: [/tex]
Step-by-step explanation:
Before, Finding the length of KN, we must have to find the length of LN. So
[tex] \: [/tex]
Here, LNM is a right angled triangle where measure of two sides are given and we are to find the measure of the third side LN(Perpendicular).
[tex] \: [/tex]
We'll find the measure of third side with the help of the Pythagorean theorem.
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base (NM) is 80The perpendicular is LNThe hypotenuse (LM) is 100.[tex] \: [/tex]
So, substituting the values in the above formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (NM) {}^{2} + (LN {)}^{2} = ( LM{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (80) {}^{2} + (LN {)}^{2} = ( 100{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = ( 100{)}^{2} - (80) {}^{2}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 10000 - 6400}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 3600}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad LN = \sqrt{3600} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad LN = \frak{60}}}} \\ \\[/tex]
Therefore,
The length of LN is 60.[tex] \\ [/tex]
As, we found the length of LN, now we can find the length of KN.
Where,
The base is KNThe perpendicular (LN) is 60.The hypotenuse (LK) is 61.So, in the right angled triangle LKN, by Pythagorean theorem we get,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + (LN {)}^{2} = ( LK{)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + {60}^{2} = ( 61{)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = ( 61{)}^{2} - {(60)}^{2}}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} =3721 - 3600}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = 121}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad KN = \sqrt{121} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad KN = \frak{11} }}} \\ \\[/tex]
Therefore,
The length of KN is 11.Related Questions
Fran is going to transfer her credit card balance over to a new card. she has an existing balance of $752.69. her current card charges her a transfer fee of 12.5%, added to her balance, for transferring her debt. the new card has an opening fee of $50, which is also added to her balance. she will also have to make an immediate minimum payment, which is 3.35% of her total balance. how much will her balance be after she makes this payment, assuming that she pays the minimum amount? round all dollar values to the nearest cent. a. $866.74 b. $868.40 c. $818.41 d. $926.82 please select the best answer from the choices provided a b c d
Answers
The Fran's balance will be $866.73.
She has an existing balance of $752.69
Her current card charges her a transfer fee of 12.5%, added to her balance, for transferring her debt.
What is the meaning of balance?An even distribution of weight enabling someone or something to remain upright and steady.
Which is given by,
[tex]0.125\times 752.69=94.04[/tex]
The total is given by,
[tex]752.69+94.04=846.77[/tex]
The new card has an opening fee of $50, which is also added to her balance.
This becomes now = [tex]846.77+50=896.77[/tex]
She also have to make an immediate minimum payment, which is 3.35% of her total balance.
This amount is = [tex]0.0335\times 896.77=30.04[/tex]
Now balance in her account is = [tex]0.0335 \times 896.77=30.04[/tex]
Therefore, Fran's balance will be $866.73.
To learn more about the balance visit:
https://brainly.com/question/24696035
Volume of cylinders, spheres, and cones word problems
A graduated cylinder is filled with 367 cm3 of liquid. The liquid is poured into a different cylinder that has a
radius of 3 cm.
What will the height of the liquid be in the new cylinder?
cm
Answers
Volume of fluid
=
V
=
36
π
cm
3
Radius of new cylinder
=
r
=
3
cm
To start the solution, solve for the height
h
in the formula for the volume of a cylinder:
V
=
π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h
=
V
π
r
2
V =π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h =
V
π
r
2
Substituting the values of the volume and the radius, the height of the fluid is:
h
=
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=
4
π
cm
=
12.5663706144
≈
12.6
cm
h =
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=4π cm =12.5663706144≈12.6 cm
Thus, the fluid reaches up to
12.6
cm
12.6
cm
in the new cylinder.
find the value of x to the nearest tenth
Answers
Answer:
X, to the nearest tenth would be 27.
Step-by-step explanation:
Sin(theta) = adjacent/hypotenuse
Sin64 = x/30
X = sin64 x 30
X= 26.963…
math sceenshot answer the sceenshot
Answers
Answer:
H(d) = 0.3d + 12
Step-by-step explanation:
It started at 12 inches.
Then it grew 0.3 inches per day.
Let d = number of days.
The growth is 0.3 d.
Add the growth to the original length, to get 0.3d + 12.
Answer: H(d) = 0.3d + 12
evaluate the expression you got in part d for b = 8? (b / 2-3)
Answers
Answer:
b/2-3
8/2-3(substituting B=8)
8/-1
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
The expression to be evaluated :
(b / 2-3)We can simpify the denominator(b / -1) ⇒ -bWe have the value of b, which is equal to 8.
Therefore, on substituting in our simplified expression :
⇒ -(8)⇒ -8Can someone please help me? :(
Answers
Answer:
561 is the surface area
Step-by-step explanation:
11 x 11 is the base area which equals 121. The height is 10 and the base is 11 for the triangles so it is 11 x 10 which equals 110. We multiply that number by 4 to equal 440. 440 + 121 equals 561 so 561 is the surface area.
Answer:
341Step-by-step explanation:
((10 x 11)/2) x 4
=220
220+11 x 11
220 + 121=
341
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
Answers
the answer is 3.5
Step-by-step explanation:
c² ::: a² + b²
(4)² ::: (2)² + b²
16 ::: 4 + b²
16-4 ::: b²
/12 ::: b2
b ::: 3.5
A student solves the following equation for all possible values of x: startfraction 8 over x 2 endfraction = startfraction 2 over x minus 4 endfraction his solution is as follows: step 1: 8(x – 4) = 2(x 2) step 2: 4(x – 4) = (x 2) step 3: 4x – 16 = x 2 step 4: 3x = 18 step 5: x = 6 he determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. which best describes the reasonableness of the student’s solution? his solution for x is correct and his explanation of the extraneous solution is reasonable. his solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x. his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x. his solution for x is incorrect. when solved correctly, there are no extraneous solutions.
Answers
Answer:
Keep it simple c da answer
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Select all that apply.
The bar graph below represents the following table, but the graph has at least one mistake. Choose the statements that describe what is wrong with the graph.
Answers
Answer:
The labels are switched
The "cloudy" bar is the wrong length
The "party cloudy" bar is wrong length
I hope my answer helps you.
what is the simplified form of the polynomial expression shown -3x^2(x-y^2)-(y^3-5)-3y^2(x^2-4y)+4x^3
Answers
Answer: apply the distributive property to factor out the greatest cmoon factor of alll three terms
Step-by-step explanation: apply the distributive property to factor out the greatest cmoon factor of alll three terms
If A = 49 degrees, a = 32,
and b = 28, find c.
Round to the nearest tenth.
Answers
Answer:
please can you resend the question clearly maybe with a diagram
I need help please help me
Answers
Carlos makes 1 pound of snack mix using nuts, raisins, and cereal. The list below shows how many pounds of nuts and raisins he uses
1/3 pound of nuts 1/5 pounds of raisins
how much cereal in pounds, does Carlos use?
Answers
1/3 is equivalent to 5/15
1/5 is equivalent to 3/15
5/15 + 3/15 = 8/15
7/15 is left to make 1 pound.
Please help! I’ll give Brainlyest. Thank you!
Answers
Answer:24cm is the perimeter
Answer:
24 cm :)
Step-by-step explanation:
Hexagon perimeter: l x 6
Now lets solve!!
4 x 6 = 24 :)
Have an amazing day!!
Please rate!!
Please help me on this question
Answers
Answer:
V = £21,012.50
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of times periods elapsedGiven:
A = VP = £20,000r = 2.5% = 0.025n = 1t = 2Substituting given values into the formula:
[tex]\sf \implies V=20000(1+\frac{0.025}{1})^{(1 \times 2)}[/tex]
[tex]\sf \implies V=21012.5[/tex]
Is it possible for a rhombus to have an angle of 120° and an angle of 30°?
give an explanation please.
Answers
Answer:
Step-by-step explanation:
if I’m correct please mark Brainalist
From the properties of a Rhombus;
Opposite angles of a rhombus are equal. The adjacent angles of a rhombus are supplementary, i.e. adds up to 180 degrees.
If one of the angles of a rhombus is 120 degrees, and sum of the adjacent angles is 180 degrees, then, the adjacent angle will be 60 degrees (180-120=60)
If one of the angles of a rhombus is 30 degrees, then, the adjacent angle will be 150 degrees (180-30 =150)
Thus, the sum of 120 and 130 is not supplementary and definitely can not be adjacent
Hence, it is not possible hope this helps !
No, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
What is rhombus?" Rhombus is a quadrilateral whose opposite side are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary."
According to the question,
Given,
Measure of the angle are 120° and 30°.
If we consider both the angles are opposite [tex]120 \neq 30[/tex]
then as per property of congruent angle in rhombus, it is not correct.
For adjacent angle, [tex]120 + 30 \neq 180[/tex] they are not supplementary.
Again it is not true for rhombus.
Hence, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
Learn more about rhombus here
https://brainly.com/question/27870968
#SPJ2
2x + y - 3z , x = 2/5 , y = 2/3 , z = 1/6 what does it equal
Answers
29/30
2x + y - 3z
2 x 2/5 + 2/3 - 3x1/6
4/5 + 2/3 - 3/6
x 3 x 5
12/15 + 10/15 - 3/6
22/15 - 3/6
x2. x5
44/30 - 15/30
= 29/30
Hope this helps!
Find X.
Hint: T is an inscribed angle that creates arc WS. Arc WS can be found by adding arcs WR and RS together.
See picture for full problem. Please and thank you so much!
Answers
Answer:
x=13
Step-by-step explanation:
The attached photo might help
What is the answer to the image? I am stuck on this.
Answers
Answer:
Step-by-step explanation:
x+2x+x+10=90,
4x=80
x=20
Answer:
A
Step-by-step explanation:
it is a 90 degree angle so you have to figure out what something plus 10 equals and then multiply the x by 2 so basically it's a solve and answer or redo it until you get 90° for your total
help me pleaseeeeeeeeee
Answers
Answer:
slope = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 4) and (x₂, y₂ ) = (- 2, 4) ← 2 points on the line
m = [tex]\frac{4-(-4)}{-2-(-5)}[/tex] = [tex]\frac{4+4}{-2+5}[/tex] = [tex]\frac{8}{3}[/tex]
Determine whether the following is a statistical question.
how many boogers does karissa the ogre have in her left nostril?
choose 1 answer:
a
statistical
b
not statistical
Answers
If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? round to the nearest hundredth. ft2
Answers
The surface area of the larger pyramid is 159.21 ft²
How to determine the surface area of the larger pyramid?The surface area of the small pyramid is given as:
A = 25.49 ft²
The corresponding sides of the pyramids are:
Small = 6; Large = 15
The surface area of the large pyramid is then calculated using:
Area = A * (Large/Small)²
This gives
Area = 25.49 * (15/6)²
Evaluate
Area = 159.21
Hence, the surface area of the larger pyramid is 159.21 ft²
Read more about surface area at:
https://brainly.com/question/4149680
Answer:
159.31
Step-by-step explanation:
Right on Edge
Question 3(Multiple Choice Worth 5 points)
(07.03 MC)
Given g(x)= X-5. on what interval is the function negative?
Answers
So negative happens when x is less than 5. ( infinity, 5)
Mark as best!
Would I do 12 time 4.5?? Someone please help
Answers
Answer:
96
Step-by-step explanation:
Find the area of the figure!!! Pleaseee don’t give a big explain Atom i have exactly 17 minutes to get to 90 on ixl!
Answers
Answer:
137 m²
Formula's:
area of rectangle: length + widtharea of triangle: 1/2 * base * heightExplanation:
⇒ area of rec + area of rec + area of rec + area of triangle
⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5
⇒ 8 + 42 + 72 + 15
⇒ 137 m²
Answer:
137 m²
Step-by-step explanation:
Divide the figure into a triangle and 3 rectangles (see attached diagram)
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthTriangle 1
⇒ area = 1/2 x (8 + 7 + 2 - 4 - 7) x 5
= 1/2 x 6 x 5
= 15 m²
Rectangle 2
⇒ area = 4 x (2 + 7 + 8)
= 4 x 17
= 68 m²
Rectangle 3
⇒ area = 2 x (7 + 8)
= 2 x 15
= 30 m²
Rectangle 4
⇒ area = 3 x 8
= 24 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3 + rectangle 4
= 15 + 68 + 30 + 24
= 137 m²
Help me pleaseeeeeeeeeeeeeeee
Answers
Answer:
x=1
Step-by-step explanation:
since one y is positive and the other is negative, they cancel eachother out, making 3x=3. 3/3=1
Find the 7th term of the geometric sequence.
14, 28, 56, ...
Answers
Answer:
The 7th term is 896
Step-by-step explanation:
= ar^n-1
a = 14
r = 28/14
= 2
n = 7
= 14 X 2 ^ 7-1
= 14 X 2 ^ 6
= 14 X 64
= 896
Find the third side, round the nearest 10th
Answers
Answer:
11.9
Step-by-step explanation:
Pythagorean theorem:
[tex]a^2+b^2 = c^2[/tex]. where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)
[tex]22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9[/tex]
Answer:
11.9
Step-by-step explanation:
This is a right triangle so I can solve this with the pythagorean theorem.
Set up the equation 22²+x²=25² x would be the third side
Simplify, 484+x²=625
Subtract from both sides 484-484+x²=625-484
x²=141
Find the square root of 141 to get x
The square root of 141 is approximately 11.9 rounded to the nearest tenth.
Do number 1 pleaseeee
Answers
Answer:Let's start b writing down coordinates of all points:A(0,0,0)B(0,5,0)C(3,5,0)D(3,0,0)E(3,0,4)F(0,0,4)G(0,5,4)H(3,5,4)a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.A(0,0,0)ReflectingA(0,0,0)B(0,5,0)ReflectingB(0,-5,0)C(3,5,0)ReflectingC(3,-5,0)D(3,0,0)ReflectingD(3,0,0)b.)A(0,0,0)MovingA(-2,-3,1)B(0,-5,0)MovingB(-2,-8,1)C(3,-5,0)MovingC(1,-8,1)D(3,0,0)MovingD(1,-3,1)
Step-by-step explanation:
What is the slope of the given line? (Use only whole numbers or fractions to answer)
What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)
Answers
Answer:
answer is -1/2
have a nice day
