In ΔXYZ, ∠X=45° and ∠Y=61°. ∠XWZ=90° and XY=24. Find the length of XW to the nearest integer.

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

What is the approximation value?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.

A calculation can be approximated by rounding the values within it before performing the operations.

Here given that,

[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

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Answer:

24

Step-by-step explanation:

8x3=24

Answer:

It's 8%

Step-by-step explanation:

3.20 divided by 40 = 0.08

0.08 = 8% therefore $3.20 divided by $40.00 = 8% sales tax

9514 1404 393

Answer:

  c.  1150 square units

Step-by-step explanation:

The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.

The area is the product of the long side and the height to the long side:

  A = bh

  A = (50 units)(23 units) = 1150 units²

__

Additional comment

This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.

If the height is measured from the short side, then the area is 287.5 square units.

Answer:

9x + 5y + 11

Step-by-step explanation:

3x + 4y + y - 2x + 11 + 8x

Group like terms

(3x - 2x + 8x) + (4y + y) + 11

Combine like terms

9x + 5y + 11

Answer:

[tex]x=80^{\circ},\\y=80^{\circ}[/tex]

Step-by-step explanation:

The measure of an angle formed by a secant and a tangent outside of a circle is half of the absolute difference between the two arcs it forms. Therefore, we have the following equation:

[tex]m\angle A=\frac{\widehat{BC}-\widehat{BD}}{2}[/tex]

Substituting given values, we get:

[tex]20=\frac{120-x}{2},\\40=120-x,\\x=\boxed{80^{\circ}}[/tex]

Since there are 360 degrees in a circle, we can write the following equation, using [tex]x[/tex], to solve for [tex]\widehat{DC}[/tex]:

[tex]x+\widehat{DC}+120=360,\\80+\widehat{DC}+120=360,\\\widehat{DC}=\boxed{160^{\circ}}[/tex]

The value of the angle formed by a chord and a tangent is half the measure of the arc it forms. Therefore,

[tex]y=\frac{\widehat{DC}}{2}=\frac{160}{2}=\boxed{80^{\circ}}[/tex]

Answer:

19500000000

Step-by-step explanation:

Answer:

Step-by-step explanation:

perimeter=2(l+w)

26=2(2x-2+10-x)

26=2(x+8)

26/2=x+8

13=x+8

13-8=x

5=x

Answer:

x=5

Step-by-step explanation:

a=2x-2

b=10-x

Formula

2 x(a+b)=26

(2x-2)+(10-x)=26/2

2x-x-2+10=13

x+8=13

x=13-8

x=5

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

No its not.

The real form is, -4,2,8,16

Answer:

No its not because I know my maths and that incorrect

Step-by-step explanation:

ufxf7tdod8d7dixurdsurdux

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

B IS WRONG

C IS WRONG

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (-3, 0)

Point (-3, 11)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

∴ We have a vertical line at x = -3.

a. n =17

b. n =23

c. n = 9

d. n = 15

Answer:

(a)  n = 17

(b)  n = 23

(c)  n = 9

(d)  n = 15

Step-by-step explanation:

Sum of the first n terms of an arithmetic series:

[tex]\boxed{S_n=\dfrac{n}{2}(a+a_n)}[/tex]

where:

[tex]\displaystyle \sum^n_{i=1}(3i+5)=544[/tex]

To find a substitute i = 1 into the equation:

[tex]\implies a=3(1)+5=8[/tex]

To find aₙ substitute i = n into the equation:

[tex]\implies a_n=3n+5[/tex]

Substitute the values of a, aₙ and Sₙ into the arithmetic series formula and solve for n:

[tex]\begin{aligned}S_n & =\dfrac{n}{2}(a+a_n)\\ \implies 544&=\dfrac{n}{2}(8+3n+5)\\1088&=n(3n+13)\\1088&=3n^2+13n\\3n^2+13n-1088&=0\\3n^2-51n+64n-1088&=0\\3n(n-17)+64(n-17)&=0\\(n-17)(3n+64)&=0\\\\n-17&=0 \implies n=17\\3n+64&=0 \implies n=-\dfrac{64}{3} \end{aligned}[/tex]

As n is positive, n = 17.

[tex]\displaystyle \sum^n_{i=1}(-4i-1)=-1127[/tex]

To find a substitute i = 1 into the equation:

[tex]\implies a=-4(1)-1=-5[/tex]

To find aₙ substitute i = n into the equation:

[tex]\implies a_n=-4n-1[/tex]

Substitute the values of a, aₙ and Sₙ into the arithmetic series formula and solve for n:

[tex]\begin{aligned}S_n & =\dfrac{n}{2}(a+a_n)\\ \implies -1127&=\dfrac{n}{2}(-5-4n-1)\\-2254&=n(-4n-6)\\-2254&=-4n^2-6n\\4n^2+6n-2254&=0\\2n^2+3n-1127&=0\\2n^2-46n+49n-1127&=0\\2n(n-23)+49(n-23)&=0\\(2n+49)(n-23)&=0\\\\2n+49&=0 \implies n=-\dfrac{49}{2}\\n-23&=0 \implies n=23 \end{aligned}[/tex]

As n is positive, n = 23.

[tex]\displaystyle \sum^n_{i=5}(7+12i)=455[/tex]

[tex]\boxed{\displaystyle \sum _{i=m}^n\:=\:\sum _{i=1}^n\:-\:\sum _{i=1}^{m-1}}[/tex]

Therefore:

[tex]\displaystyle \sum^n_{i=1}(7+12i)-\sum^{4}_{i=1}(7+12i)=455[/tex]

To find a substitute i = 1 into the equation:

[tex]\implies a=7+12(1)=19[/tex]

To find aₙ substitute i = n into the equation:

[tex]\implies a_n=7+12n[/tex]

To find a₄ substitute i = 4 into the equation:

[tex]\implies a=7+12(4)=55[/tex]

Therefore:

[tex]\begin{aligned}\displaystyle \sum^n_{i=1}(7+12i)-\sum^{4}_{i=1}(7+12i)&=455\\\dfrac{n}{2}(19+7+12n)-\dfrac{4}{2}(19+55)&=455\\\dfrac{n}{2}(12n+26)-148&=455\\ \dfrac{n}{2}(12n+26)&=603\\6n^2+13n&=603\\6n^2+13n-603&=0\\ 6n^2-54n+67n-603&=0\\6n(n-9)+67(n-9)&=0\\(6n+67)(n-9)&=0\\\\6n+67&=0 \implies n=-\dfrac{67}{6}\\n-9&=0 \implies n=9\end{aligned}[/tex]

As n is positive, n = 9.

[tex]\displaystyle \sum^n_{i=3}(-3-4i)=-507[/tex]

[tex]\boxed{\displaystyle \sum _{i=m}^n\:=\:\sum _{i=1}^n\:-\:\sum _{i=1}^{m-1}}[/tex]

Therefore:

[tex]\displaystyle \sum^n_{i=1}(-3-4i)-\sum^{2}_{i=1}(-3-4i)=-507[/tex]

To find a substitute i = 1 into the equation:

[tex]\implies a=-3-4(1)=-7[/tex]

To find aₙ substitute i = n into the equation:

[tex]\implies a_n=-3-4n[/tex]

To find a₂ substitute i = 2 into the equation:

[tex]\implies a=-3-4(2)=-11[/tex]

Therefore:

[tex]\begin{aligned}\displaystyle \sum^n_{i=1}(-3-4i)-\sum^{2}_{i=1}(-3-4i)&=-507\\\dfrac{n}{2}(-7-3-4n)-\dfrac{2}{2}(-7-11)&=-507\\\dfrac{n}{2}(-4n-10)+18&=-507\\-2n^2-5n&=-525\\2n^2+5n-525&=0\\ 2n^2-30n+35n-525&=0\\2n(n-15)+35(n-15)&=0\\(2n+35)(n-15)&=0\\\\2n+35&=0 \implies n=-\dfrac{35}{2}\\n-15&=0 \implies n=15 \end{aligned}[/tex]

As n is positive, n = 15.

Answer:

Mean- 18.5

25+20+20+17+15+14=111

111/6=18.5

Answer:

I plotted points since i cant draw lines very well with a mouse

Step-by-step explanation:

Answer:

(-1,1); (-4,1); (-4,3)

Step-by-step explanation:

You are going to move it to the left. The point closest to the y-axis (1,1) will now be (-1,1). The point all the way to the right on the bottom will be (-4,1) and the top right point will be (-4,3). Hope this helps!

Answer:

3/2 X 1/4 +1/2

Step-by-step explanation:

Try using that to work out the answer.

Answer:

Mo is correct because when you divide 66.25 from both sides it is 12.

Step-by-step explanation:

The measure of the trigonometric relations is tan θ = -1 when the reference angle θ = 315°

Every angle is measured from the positive part of the x-axis to its terminal line (the line that determines the end of the angle) traveling counterclockwise. For angles in the first quadrant, i.e., angles less than or equal to 90 degrees, the reference angle is equal to the original angle.

The reference angle is always positive

0° to 90°: reference angle = angle

90° to 180°: reference angle = 180° - angle

180° to 270°: reference angle = angle - 180°

270° to 360°: reference angle = 360° - angle

Given data ,

Let the reference angle be represented as R

Now , the value of R is R = 315°

And , the measure of angle θ = 7π/4

The reference angle θ = 315°

So , the value of tan ( 315 )° = -1

Hence , the trigonometric value tan ( 7π/4 ) = -1

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The complete question is attached below :

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 7 The measure of angle Ois 4. The measure of its reference angle is °, and tan is​

Answer:

67 minutes

Step-by-step explanation:

Answer:

(we dont have the picture of the following ordered pairs, so I'll list all)

(4,1), (4,7), (1,4), (7,4)

Step-by-step explanation:

If the side lengths are 3 units, then you just add or subtract 3 to x or y in the 4 directions.

Answer:

B or D

Step-by-step explanation:

I believe its D though

hth

Answer:

8b = 96

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Given

The equation of the circle is [tex]x^2+y^2-4x-6y-k=0[/tex]

Using completing the square method

[tex]\Rightarrow x^2+y^2-4x-6y+4-4+9-9-k=0\\\Rightarrow \left( x^2-4x+4\right)+\left( y^2-6y+9\right)-\left( k+4+9\right)=0\\\Rightarrow \left( x-2\right)^2+\left( y-3\right)^2=\left( k+13\right)[/tex]

on comparing with standard form,  [tex]r^2=k+13[/tex]

Insert the value of r

[tex]\Rightarrow 4^2=k+13\\\Rightarrow k=16-13\\\Rightarrow k=3[/tex]

9514 1404 393

Answer:

  $5.54

Step-by-step explanation:

 8.8% of $63 is ...

  0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

Answer: 5.54

Step-by-step explanation: khan said it was correct

Answer:

43.3

Step-by-step explanation:

45-5=40,

0.0825*40=3.3

40+3.3=43.3

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The given triangle is a right angled triangle,

therefore, by using trigonometry :

[tex] \boxed{ \cos(45) = \frac{6}{x} }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]