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Answer:

  72.5° ≈ 73°

Step-by-step explanation:

The ladder length is the hypotenuse of the right triangle that has the distance from the building as its base and the height up the building as the height of the triangle. The given dimensions are those of the side adjacent to the angle and the hypotenuse.

The appropriate trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(angle) = 6/20

The inverse cosine function (arccos) is used to find the angle from its cosine.

  angle = arccos(6/20) ≈ 72.54°

The angle is 72.5° rounded to tenths, or 73° rounded to degrees.

Given:

The vertices of a quadrilateral are v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6).

To find:

The vertices of the image of quadrilateral vwxy after 180° about the origin.

Solution:

If a figure rotated 180° about the origin, then the rule of rotation is

[tex](x,y)\to (-x,-y)[/tex]

Using this rule, we get

[tex]v(-2,-1)\to v'(2,1)[/tex]

[tex]w(-5,-2)\to w'(5,2)[/tex]

[tex]x(-8,-7)\to x'(8,7)[/tex]

[tex]y(1,-6)\to y'(-1,6)[/tex]

Therefore, the vertices of image of quadrilateral vwxy after 180° about the origin are  v'(2,1), w'(5,2), x'(8,7), y'(-1,6).

Answer and Step-by-step explanation:

We see that this is a right angle, which means the entire angle is equal to 90.

We can find what x is by adding this expression and 44 and equaling it to 90.

90 = x + 9 + 44

90 = x + 53

37 = x

The value of x is 37.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer: y = 1x+ -2 or y=x-2

Step-by-step explanation:

y=mx+b

-10=1(-8)+b

-10=-8+b

b=-2

Answer:

y=x-2

Step-by-step explanation:

y-(-10)=1(x-(-8)

y+10=1(x+8)

y+10=1x+8

y=1x+8-10

y=1x-2

Answer: 12 balls i think

Answer:

answer is 12

Step-by-step explanation:

i took the quiz.

$$3000-$1200=$1800

take $1800÷$40=45

Answer:

b) 8y

Step-by-step explanation:

Product means multiplication so, 8y

a) incorrect

8 + y is addition

b) correct

8y is multiplication

c) incorrect

8 - y is subtraction

d) incorrect

8/y is division

Answer:

x=12

Step-by-step explanation:

We know that a right angle is 90 degrees. So we can make the equation [tex]35+4x+7=90.[/tex] Now, we can solve fore X! We can combine 35 and 7 to make the equation [tex]4x+42=90[/tex]. In order to isolate x we have to subtract 42 from both sides, getting us the equation [tex]4x=48.[/tex] Now, in order to isolate x we must divide each side by 4, getting us the equation [tex]12=x[/tex].  To prove that x=12, we can subsitute x for 12.  This means that we can do [tex]35+4(12)+7=90. Or, 35+48+7 =90,[/tex] which simplified, is 90=90, making x=12 true. Hope this helps :)

Answer:

The range is 3

Step-by-step explanation:

The smallest number 5 subtracted from the largest number 8 is 3.

Answer:

310°

Step-by-step explanation:

[tex]m\overset{\frown}{DBC} = m\overset{\frown}{DB} + m\overset{\frown}{BC} = 180^\circ + 130^\circ = 310^\circ[/tex]

Answer:

1 and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 1

Option 2

Option 3

Option 4

Answer:

4 bags

Step-by-step explanation:

lxw

12x10=120

30x4=120

l=length

w=width

Answer

well no

Step-by-step explanation:

Step-by-step explanation:

The two numbers having a sum of 19 and difference of 9 is

14 and 5

14 + 5 = 19

14 - 5 = 9

Hope it will help :)

Answer:

14 and 5

Step-by-step explanation:

-#--#--2-#--$--#6*363282873737282

Answer:

$2.20

Step-by-step explanation:

If you do long division you get 2 dollars as total with a decimal of 20 do that's your answer.

Answer:

The cost per pound of potatoes is $2.26.

Step-by-step explanation:

You have to divide the total cost by the total pounds.

So in this case, the total cost is $18.08.

There is a total number of 8 pounds.

So you do:

$18.08 / 8 pounds

             =

$2.26/lb of potatoes

I hope this helps you on your journey to success!

And if you may mark me Brianliest, I will appreciate a whole bunch!

Answer:

Pentagon

Step-by-step explanation:

A quadrilateral must have four angles and four verticies. A pentagon does not have 4 verticies, but 5.

Answer:

its a pentagon-

oOooOOOooOOOooh gOooOOooOOnn

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

hope it helps <3

Answer: No sorry if its wrong

Step-by-step explanation: have a nice day

Answer:

18 Non Foreign Stamps

Step-by-step explanation:

Given data

Total stamps= 150

Foreign Stamps= 88% of the total stamps

Hence the number of foreign stamps is

=88/100*150

=0.88*150

=132 Foreign Stamps

The number of stamps that is Non Foreign Stamps is

=150-132

=18 Non Foreign Stamps

Answer:

I believe this is a "trick" question. From the equations given, I can get 3 different solutions.

Step-by-step explanation:

WY = XZ because corresponding parts of congruent triangles are congruent.

(7p + 13) + 2p = 18 + 4

9p + 13 = 22

9p = 9

p = 1

∠ZXY = ∠WYX because corresponding angles of congruent triangles are congruent.

Because ∠ZXY = ∠WYX, ΔVXY is isosceles and XV = YV

2p = 4 because corresponding parts of congruent triangles are congruent.

p = 2

also, because of congruency,

WV = ZV

7p + 13 = 18

7p = 5

p = 5/7

The triangle ΔWXY and ΔZYX are congruent triangles to each other. Then the value of the variable 'p' will be 1.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔWXY and ΔZYX are congruent triangles to each other. Then the ratio of the corresponding sides will be one. Then the equation is given as,

WX / XZ = 1

XW = XZ

WV + VY = XV + VZ

7p + 13 + 2p = 18 + 4

9p = 9

p = 1

The triangle ΔWXY and ΔZYX are compatible triangles with one another. Then the worth of the variable 'p' will be 1.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Given:

The expressions are

(c) [tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3[/tex]

(d) [tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}[/tex]

To find:

The simplified form of the given expression.

Solution:

(c)

We have,

[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3[/tex]

We know that, zero to the power of a non-zero number is always 1. So, [tex]\left(\dfrac{2^4\times 3^6}{12^2}\right)^0=1[/tex]

[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=(1)^3[/tex]

[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=1[/tex]

Therefore, the value of the given expression is 1.

(d)

We have,

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}[/tex]

It can be written as

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13^3\times 1}{(65\times 49)^2}[/tex]

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13\times 13\times 13}{(65\times 49)(65\times 49)}[/tex]

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{(5\times 49)(5\times 49)}[/tex]

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}[/tex]

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}[/tex]

Therefore, the value of given expression is [tex]\dfrac{13}{60025}[/tex].

Answer:

8

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{s}{8 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{s}{8 \sqrt{2} } \\ \\s = \frac{8 \sqrt{2} }{ \sqrt{2} } \\ \\ s = 8[/tex]

Answer: $50.99

Step-by-step explanation:

Given

The computer game is Priced at [tex]\$59.99[/tex]

It is marked down by [tex]15\%[/tex]

Final price is

[tex]\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99[/tex]

The value of the given equation is 124.

Since the equation is [tex]2a^3 - a[/tex] and a = 4

So, the value of a is

[tex]= 2a^3 - a\\\\= 2(4)^3 - 4\\\\= 128 - 4[/tex]

= 124

Hence, The value of the given equation is 124.

Learn more about the value here: https://brainly.com/question/4700495

Answer:

Area = 220.8 units²

Step-by-step explanation:

Since, given regular hexagon is made up of 6 congruent triangles joined together.

Area of the given regular hexagon = 6(Area of ΔAOB)

Area of ΔAOB = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(AB)(OC)[/tex]

                        = [tex]\frac{1}{2}(9.2)(8)[/tex]

                        = 36.8 unit²

Therefore, area of regular hexagon = 6(36.8)

                                                 = 220.8 units²

Answer:

(4.449, 0.449) and (-0.449, -4.449)

Step-by-step explanation:

xy = 2

y = [tex]\frac{2}{x}[/tex]

Vertical asymptote → x = 0

Horizontal asymptote → y = 0

Input-output values for the equation,

x          -2         -1            1           2           4

y          -1         -2            2          1          0.5

Input-output values of the equation,

x - y = 4

x         -2          -1            0            1            2

y         -6          -5          -4           -3          -2

Solutions of the system of equations → (4.449, 0.449) and (-0.449, -4.449)