Mathematics High School

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] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Related Questions

How do I find the point of intersection?

Answers

Answer:

(-1 3/5, 2 3/5)

Step-by-step explanation:

Red Line:

m = 3-(-1)/-2-2 = 4/-4 = -1

b = 1

equation:  y = -x + 1

Blue Line:

m = 5-1/2-(-4) = 4/6 = 2/3

find 'b':

5 = 2(2/3) + b

15/3 = 4/3 + b

b = 11/3

equation:  y = 2/3x + 11/3

Find Point of Intersection:

-x + 1 = 2/3x + 11/3

multiply each side by 3 to get:

-3x + 3 = 2x + 11

-5x = 8

x = -8/5

find 'y':

y = -(-8/5) + 1

y = 8/5 + 1 = 13/5

y = 2 3/5

3
3. Your boss has you on the schedule working 35 hours per week. If you make $9.50 per hour, what is your
gross income every two weeks?
A) $332.50
B) $665
C) $191.58
D) $334.50

Answers

Answer: B

Step-by-step explanation:

35 x 2 = 70 (since there are 2 weeks)

70 x 9.50 = 665

i agree with the person above me

Find the volume of the figure below. Round your answer to the nearest hundredth if necessary,
8 mi
6 mi
8 mi
4.3 mi
11 mi
97.3 mi?
Ob
177.8 mi?
255.5 mi?
Od
189.2 mi?

Answers

Answer:

d.   V = 189.2 mi³

Step-by-step explanation:

V = Bh

V = (11 mi)(4.3 mi)/2 × 8 mi

V = 189.2 mi³

ahorita comento la foto de mi procedimkentl

Find the sum: (x^5 - 2x^4 + 3x^2 - 6) + (3x^4 + 4x^2 + x + 4). Enter your answer as a
polynomial in descending order below, and use the caret (^) for exponents.
For example, you would write 4x2 as 4x^2.

Answers

Answer:

The sum of the two equation is [tex]x^5 + x^4 + 7x^2 + x -2[/tex]

Step-by-step explanation:

The given two equations are

[tex](x^5 - 2x^4 + 3x^2 - 6)\\ (3x^4 + 4x^2 + x + 4)[/tex]

Now rearranging the two equation in such a way that variables with similar with same power are grouped together -

[tex]x^5 - 2x^4 + 3x^4 + 3x^2 + 4x^2 + x- 6+ 4\\x^5 + x^4 (3-2) + x^2 (3+4) + x -6+4\\x^5 + x^4 + 7x^2 + x -2[/tex]

Some candy bars are on a plate. Each candy bar is the same size. Nine friends are going to share the candy bars equally. Each friend gets one-half a candy bar. How many candy bars are on the plate? Between what two whole numbers does the amount of candy bars shared lie? Show all your mathematical thinking.

Answers

Step-by-step explanation:

How many candy bars are on the plate?

1 and a half multiplied by 9 = 13 and a half

There are 13 and a half/13.5 candy bars are on the plate.

Between what two whole numbers does the amount of candy bars shared lie?

13.5 lies between 13 and 14.

Hope it helps!!!!

PLS HELP ME ILL MARK BRAINLIEST JUST PLEASE

Answers

Answer:

area of figure (a) = 152cm²

.

.

.

.

.

.

.

.

same method will be used to solve ( b) and (c)

help ik its not math btw brainliest ill give

Answers

Answer:

Because its near water which attracts precipitation and is a center hit

Step-by-step explanation:

im just clueless i need help

Answers

Answer:

.....

Step-by-step explanation:

on what

Answer:

I didn't help because you did not ask any questions

100 points / please help

A baker has three different recipes. Recipe A uses 3 cups of flour to make 12 rolls. Recipe B uses 5 cups of flour to make 24 rolls. Recipe C uses 11 cups of flour to make 48 rolls. Which recipe uses the most cups of flour per roll?

a) Recipe A
b) Recipe B
c) Recipe C
d) The ratios are all proportional

Answers

Answer:

Recipe A

Step-by-step explanation:

Hope this helped!!!

Answer:

[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

Recipe A:

Cups of flour used = 3

Rolls made = 12

Cups of flour per roll

[tex] = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25[/tex]

Recipe B:

Cups of flour used = 5

Rolls made = 24

Cups of flour per roll

[tex] \frac{5}{24} \\ = 0.20[/tex]

Recipe C:

Cups of flour used = 11

Rolls made = 48

Cups of flour per roll

[tex] \frac{11}{48} \\ = 0.22[/tex]

Now compare Recipe A, B & C.

[tex]0.25 > 0.22 > 0.20[/tex]

Recipe A > Recipe C > Recipe B.

✏ So, Recipe A used the most cups of flour per roll (option a).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

An owl ate 3 mice. Prior to being eaten, the 3 mice together consumed a small block of cheese. The cheese contained 60 kJ of energy. How many kilojoules of energy from the block of cheese did the owl obtain after consuming the 3 mice?

Answers

The answer is 0.6 kj of energy

Pls give answers to these I will mark branliest

Answers

Answer:

I can answer the first 5 for you :)

1: 1,019,536

2: 892,850

3:20,215,692

4:274,728

5:227,376

Have a great day!!!!

A triangular prism and its dimensions are shown in the
diagram. What is the lateral surface area of this triangular
prism in square centimeters?
Select one
192cm?
144cm?
0
128cm
O
152cm

Answers

1444jsjzjdjdjdjsnskzkzmmsm

Find the solution to the system of equations using graphing
y = -7/4x - 4
y = - 1/4x + 2

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Andres signed up for a streaming music service that costs $14 per month. The service
allows Andres to listen to unlimited music, but if he wants to download songs
for
offline listening, the service charges $0.50 per song. How much total money would
Andres have to pay in a month in which he downloaded 20 songs? How much would
he have to pay if he downloaded s songs?

Answers

Answer:

$24.00

Step-by-step explanation:

x = per month

y = per song

t = total

Equation:

t = 14x + 0.5y

t = 14(1) + 0.5(20)

t = 14 + 10

t = 24

Um vendedor de frutas saiu com 372 bananas se eu voltar para casa trazer 129 bananas quantas bananas ele vendeu operação e resposta?

Answers

Responder:

243

Explicação passo a passo:

Dado que :

Número inicial de bananas = 272

Número de bananas devolvidas com = 129

Para obter o número de bananas vendidas, usamos a operação de subtração do número de bananas com que ela saiu de casa e do número de bananas com que voltou.

Portanto, número de bananas vendidas:

372 - 129 = 243

Help geometry!!!! Please show work

Answers

Answer:

A

Step-by-step explanation:

13 + 4 = 17

so A

Step-by-step explanation:

Side AB is Adj

Side BC is OPP

Side AC is HYP

Apply sine function.

[tex] \sin(x) = \frac{4}{13} [/tex]

Take the inverse of sine.

[tex] \sin {}^{ - 1} ( \frac{4}{13} ) = 17[/tex]


Find the radius...

Help plz

Answers

it is 20 for the radius

Can someone please help me

Answers

Answer:150

Step-by-step explanation: If you see the highest point in the number line. You can see it’s in the middle of of 140 and 160 so it’s 150

Brainliest Which is a true statement about the solutions of the equation x/x-2 = x-3/2x
The only solution is 1
The only solution is 3
Both -6 and 1 are solutions
Both 2 and 3 solutions
Equation has no solutions

Answers

Answer:

The Equation has no solution

Step-by-step explanation:

When you try and solve the equation you end up with the same numbers! Therefore the equation has no solution

Rose is getting balloons for her grandfather's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Rose wants to get 43 balloons, how many yards of string will she need?
1 foot =
1
3
yard

Answers

The answer should be 224yd

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Answers

Answer:

7 radians

Step-by-step explanation:

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Since our Angle in in radians

The formula for Arc length = S = rθ

S = 14π

θ = central angle = 2π radians

Hence

r = S/θ

r = 14π/2π radians

r = 7 radians

Radius = 7 radians

Which of the following is a trinomial with a constant term?

A. x - y + 3
B. y + x ^ 3
C. x ^ 7
D. x ^ 3 + 12x ^ 2 + x
E. x + 7y
F.y ^ 2 + 12

Answers

Answer:

A) x - y + 3

Step-by-step explanation:

A trinomial is a polynomial with 3 terms, and a constant term always stays constant (for example an integer). A seems to work best.

Can someone plz help me with this one problem!!!

Answers

Answer:

Step-by-step explanation:

Answer:

v = 9 m

Step-by-step explanation:

the formula for the perimeter is P = 2W + 2L.

Here the perimeter is 42 m = 2(12 m) + 2v.  Solving for 2v, we get:

42 m - 24 m = 2v, or

v = 21 m - 12 m, or

v = 9 m

PLZ HELP! QUESTIONS ARE BELOW! :D

Answers

Answer:

1) 243 in.²

Step-by-step explanation:

1)

A = 18 in. * 18 in. - 9 in. * 9 in. = 243 in.²

What are the opposites of 5, −3.4, 3.35, and 9 1 3 ? Enter the answers in respective order, each separated by comma.

Answers

Answer:

-5, +3.4, -3.35, and- 9 1 3

Step-by-step explanation:

To find the opposite of any number we multiply it with -1 or divide it with -1

The opposite of 5 is given by  5 (-1)= -5

The opposite of -3.4 is given by  -3.4 (-1)= 3.4

The opposite of 3.35 is given by  3.35 (-1)= -3.35

The opposite of 913 is given by  913 (-1)= -913

This property is called the additive inverse. The additive inverse is that property which on addition of the numbers gives the answer = zero.

5-5= 0

-3.4+3.4= 0

3.35-3.35=0

913-913=0

growth or decay pls answer

Answers

this is exponential growth because the base is greater than one. I’m in a college algebra class, trust me i know

At a fair 15% less people attended on Monday than the number of people who attended on Sunday. If 425 people attended on Monday, find the number of people who came to the fair on Sunday

Answers

Answer: 500

Step-by-step explanation:

let we suppose x people went to the fair on Sunday.

now number of people attend the fair on monday=x-15%of x.

x-15x/100=100x-15x/100

85x/100

A/q

85x/100=425

85x=42500

x=42500/85

500

so, 500 people. attended the fair on sunday

Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans. What fraction of the bag did Craig fill with beans?

A.1/3
B.3/9
C.1/2
D.2/3

Answers

Answer:

D. 2/3

If 2/6 equals 1/3, then 1/3 + 1/3 = 2/3.

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

please i need this due now and DO NOT GIVE ME A LINK FOR THE ANSWER
Write two different polynomials with a difference of
−3x2 + 5x − 7.

Answers

Answer:

Y = -3(x - 5/6)^2 - 59/12 and  x = 5±i√59/6

Step-by-step explanation:

Pls give brainllest

This is very confusing to me, if anyone can help me I will most definitely give them the brainiest.

Answers

Answer: figure 1 and 4

Step-by-step explanation: just multiple width times length and see if they give the same answer.

hoped this helped.

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