In the figure the triangle is right triangle at *Y* and *N* is the foot of the perpendicular from *Y* to XZ. Given that XY=6 cm and XZ=10 cm. What is the length of XN

In The Figure The Triangle Is Right Triangle At *Y* And *N* Is The Foot Of The Perpendicular From *Y*

Answers

Answer 1

Answer:

3.6cm

Step-by-step explanation:

YZ = 10² - 6² = 8

sinX = 8/10 = 53.13º

cos 53.13º = XN/6

XN = 3.6cm

Answer 2

Answer:

[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]

XY = 6 cm , XZ = 10 cm

[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]

Length of XN

[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]

Let the length of XN be ' x ' & that of NZ be ' 10 - x '

In rt. XYZ :

Hypotenuse (h ) = 10 , Perpendicular ( p ) = YZ & Base ( b ) = 6

Using Pythagoras theorem:

[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]

Plug the values & then simplify!

⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]

⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]

In rt. YNZ ,

Hypotenuse = 8 cm , Perpendicular = YN , base = 10 - x

Using Pythagoras theorem :

⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]

In rt. XYN ,

Hypotenuse = 6 , Perpendicular = YN , base = x

Using Pythagoras theorem :

[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]

Now , From Equation ( i ) & Equation ( ii )

⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]

⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]

⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]

⤑ [tex] \large{ \sf{20x = 72}}[/tex]

⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm

Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]

[ Correct me if I am wrong ]

♨ Hope I helped! ♡

♪ Have a wonderful day / night ! ☃

☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎

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Related Questions

Solve for N

4n=2n+6

Please help

Answers

Answer:

n = 3

Step-by-step explanation:

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

The solution is, n = 3.

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

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Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each loaf had 16 slices of bread. The boys used up all the bread to make the sandwiches. They used 2 slices to make each sandwich. How many sandwiches did they make for the shelter?

Thanks For answering!

Answers

Answer:

64 slices

Step-by-step explanation:

The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.

16⋅8=128 slices of bread in total

Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.

128÷2=64.

Line d is parallel to line c in the figure below.

Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.

Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.

Answers

Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

Vertical angles prove that Angle 3 is congruent to angle 6.

The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

Hey can you help me fast!!

Answers

I think it’s 36 square feet

find the area of the pentagon in the diagram below.



15 square inches

20 square inches

25 square inches

28 square inches

Answers

The answer is 28 square inches I think

The area of the pentagon is approximately 15 square inches.

To find the area of the pentagon, we can use the formula for the area of a regular pentagon:

Area = (5/4) * (s²) * (1/tan(π/5)),

where "s" is the length of the side of the pentagon.

Given that the sides of the pentagon are as follows:

Two smallest sides = 2 inches,

Two largest equal sides = 4 inches,

One other equal side = 3 inches.

Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.

The pentagon can be divided into three shapes: a rectangle and two triangles.

Rectangle:

The two smallest sides (2 inches) form the length and width of the rectangle.

Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.

Triangle 1:

The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.

To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.

h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]

h² = 16 inches² - 2.25 inches²,

h² = 13.75 inches²,

h ≈ 3.7 inches.

Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Triangle 2:

The two largest equal sides (4 inches) and the other 3-inch side form another triangle.

Using the same height (3.7 inches) from Triangle 1:

Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:

Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2

Total Area = 4 square inches + 5.55 square inches + 5.55 square inches

Total Area ≈ 15.1 square inches.

Therefore, the area of the pentagon is approximately 15.1 square inches.

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Combine these radicals
3V2-5V2

Plz help
Will give Brainlyest

Answers

Answer:

b

Step-by-step explanation:

because i said so and because i am tired and tired and tired

Answer:

[tex] - 2 \sqrt{2} [/tex]

Step-by-step explanation:

Subtract 5√2 from 3√2.

[tex] - 2 \sqrt{2} [/tex]

Hence, the answer is Option A. in decimal form the answer will be −2.82842712.

could someone please help

Answers

140
The area is lengthX width so (7+7)(5+5) which is just 14 x 10

Answer:

70

Step-by-step explanation:

the formula for a triangle is b (base) x h (height), then ÷2. there are two tringles together to make this shape, their bases are 10 (5+5) and their heights are 7. so if you do the math for the 2 triangles then add them together you get the area for the entire shape.

the width of a rectangle is 2 inches less than its length, and the area is 35 sq inches. what are the length and width of the rectangle?

Answers

Answer:

5 and 7

Step-by-step explanation:

¿Cuáles son las famosas razones trigonométricas y sus inversas?

Answers

Answer:

Razones trigonométricas inversas: cosecante, secante y cotangente. ... Dado un triángulo rectángulo, definimos la cosecante, la secante y cotangente de un ángulo como las razones inversas del seno, coseno y tangente, respectivamente.

Step-by-step explanation:

espero y te ayude

A swimming pool is in the shape of a right triangle. One leg has a length of 15 feet and the hypotenuse is √325 feet. Estimate the length of the other leg. Round to the nearest integer, if necessary

Answers

Answer:

10 feet

Step-by-step explanation:

a^2+b^2=c^2

15^2+B^2=365

225+b^2=365

b^2=100

b=10

Which goes to this inequality x + 1 < 3

Answers

I got x < 2 for the inequality
Look at the image for more information

Hey can yall help me
what's 9+10+2=

Answers

Answer:

21

Step-by-step explanation:

: P

Answer:

21

Step-by-step explanation:

umm that's kindergarten math-

Is 4.53 a real number?
yes or no

Answers

Answer:

yur

Step-by-step explanation:

Answer:

yeah it's a decimal so yes

I need help please!!

Answers

It looks like it’s b. Triangle 2

The height of a seat on a Ferris wheel can be modeled as
H (t) = 47 sin (Fot+ 3 + 52, where tis time in seconds and h(t) is
height in feet.
How far off the ground is a seat when it is at the top of the Ferris wheel?
A. 99 feet
B. 94 feet
C. 104 feet
D. 52 feet

Answers

Answer:

Step-by-step explanation:

Its 99

I just took it

Need help please urgent. Correct answers only no links.

Answers

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

Select all the expressions that are equivalent to 20% of 150.

Answers

Answer:

2 and 3

Step-by-step explanation:

30 is 20% of 150

I hope this helps

Have a great day

I need an answer! NO LINKS! PLS ill give brainlist

Answers

Answer:

c

Step-by-step explanation:

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

6) -10

7) b

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PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT

Answers

Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

Of the fifth graders in oak elementary, 6/8 are in band. What fraction of the fifth graders are not in band?

Answers

Answer: 2/8
explanation: because 6/8 plus 2/8 = 8/8

Answer:

2/8 of the fifth graders are not in band

Step-by-step explanation:

To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).

8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.

Answers

Answer:

s = 24.05

Step-by-step explanation:

Given

v² = u² + 2gs ← substitute v = 25, u = 12, g = 10

25² = 12² + (2 × 10 × s)

625 = 144 + 20s ( subtract 144 from both sides )

481 = 20s ( divide both sides by 20 )

24.05 = s

Whats the área and circumference of a circle if the radius is 6in?

Answers

Answer:

C≈37.7in

Step-by-step explanation:

Answer:

Hello!

Area: 113.04

Circumference: 37.68

Hope this helps

5. THINK SMARTER There are 246 children at
Debbie's school. There are 328 children
at Jacob's school. Without adding, explain
how you could estimate the number of
children at the two schools.

Answers

Answer:u can estimate 246 to 200 and u can estimate 328 to 300

Step-by-step explanation:

add 34

Should you use Sine, Cosine, Tangent to solve the following problem

Answers

Answer:

tangent

Step-by-step explanation:

SOH( sin = opposite/hypotenuse)

CAH(cosine = adjacent/hypotenuse)

TOA(tan = opposite/adjacent)

you are trying to find x and the numbers given to you are  opposite of x and adjacent to x. that means you need to use toa

We will use Tangent of the angle.

What is Tangent of the angle?

In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Given that, a right triangle, with perpendicular = x and an acute angle = 28° and base = 14

Since, we know that, tan α = opposite side / adjacent side

In other two trigonometric ratios, we need the length of hypotenuse, which is not given.

Hence, We will use the Tangent of the angle.

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3. There are 6645 students at Tech Middle School, and
20% of the stredents are 7th graders.
How
many
Students are 7th graders?

Answers

Answer:

.20

Step-by-step explanation:

The word percent literally means "Out of 100". With that being said, 20% can be written as a fraction, mixed number or whole number as follows: 1/5 (fraction), 20/100 (mixed number) or .20 (whole number).

Answer:

1329 students

Step-by-step explanation:

20/100 ×6645

Reduce the fraction 20/100 with 20

So..20 goes into 20 1 time and 20 into 100 5 times

1/5×6645

Use 5 as the greatest common factor now

so...5 into 5 goes 1 time and 5 into 6645 goes 1329

1/1 × 1329 = 1329

Or... you could just convert 20% into a decimal by carring the . two places to the left

which is 0.2

0.2 × 6645 = 1329

For the equation 3(7 + x) = 3x + k, what value of k will create an equation with no solutions?

Answers

K=21 hope this helps luvvvvv

Which equation matches the function shown in the graph?
A. y=2sin(1/2x)+1
B. y=3sin(2x)
C. y=2sin(2x)+1
D. y=3sin(1/2x)

Answers

Answer:

the answer is A. y=2sin(1/2x)+1

Step-by-step explanation:

I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph

The function that matches the graph is y= 2 sin(1/2x) +1.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

let y = A sin ([tex]\omega[/tex]x + Ф)+  k

T= 4π, w= 2π/T = 1/2

Now, midline= 1/2( max + min)

=1/2(3-1)= 2/2

k=1

and, A= 3-1 = 2

So, y= 2 sin(1/2x  + Ф) +1

as, Ф=0

So, y= 2 sin(1/2x) +1

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What are the solutions to log6(x^2 + 8) = 1 +log6(x)?

X=-2 and x=-4
X=-1 and x = 8
X= 1 and X=-8
X= 2 and x=4

Answers

Answer: x = 4, x = 2


x² + 8 = 6x

Answer:

D. x=2 and x=4

Step-by-step explanation:

Hope this helps!! Have a great day!! ❤

Can someone please help me with this​

Answers

Answer:

[tex]2x^2+x+7y[/tex]

Step-by-step explanation:

We are given the equation [tex]2(x^2+3y)+x+y[/tex] and are asked to simplify it.

To do so, we need to first get rid of the parenthesis, since x² and 3y aren't like terms, it isn't solvable unless we try another way, which is the distributive property.

2 is next to the parenthesis, in the distributive property, we would multiply the number outside of the parenthesis with all the numbers inside the parenthesis. Therefore :

[tex](2*x^2) + (2*3y) + x +y[/tex]

[tex]2x^2 +6y+x+y[/tex]

Now that we have like terms, we can add them together :

[tex]2x^2 + 6y+x+y[/tex]

[tex]2x^2 + x+7y[/tex]

Answer:

Hello! Your answer would be, 2[tex]x^{2}[/tex] + [tex]x[/tex] [tex]7y[/tex]

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia

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