Two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in Figure 1. The distance from W to H is 45 inches. Then the same two tiles are rearranged at the top and at the base of the door frame, as shown in Figure 2. The distance from Y to Z is 37 inches. What is the height of the door frame, in inches?

Answer:

g(x) increasing

h(x) decreasing

Step-by-step explanation:

Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing

Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing

Answer:

[tex]leg=6\sqrt{3} \\\\hypotenuse=12[/tex]

Step-by-step explanation:

The equations for the 30°-60°-90° are as follows:

[tex]l=\sqrt{3}*s[/tex]

[tex]h=2*s[/tex]

l is the longer leg, s is the smaller leg, and h is the hypotenuse. Insert the known values and solve for the longer leg and the hypotenuse:

[tex]l=6\sqrt{3} \\h=12[/tex]

:Done

Answer:

Step-by-step explanation:

Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...

  B = 180° -A -C = 180° -109° -13° = 58°

Using this information and the Law of Sines, you can find the remaining sides.

  a/sin(A) = b/sin(B) = c/sin(C)

__

Then the missing sides are ...

  a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896

  c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915

The missing measures are ...

  B = 58°

  a = 6.6896

  c = 1.5915

Answer: make sure to round !!B = 58°

a = 6.7

c = 1.6

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Use the distance formula

d = distance

[tex]d=\sqrt{(10-1)^2 + (-4 - (8))^2\\[/tex]

Solve the equation to get the following:

[tex]d=\sqrt{9^2 + (-12)^2}[/tex]

[tex]d = \sqrt{81+144[/tex]

[tex]d=\sqrt{225[/tex]

[tex]d = \sqrt{15[/tex]

Answer:

[tex]27^{\frac{1}{5} }[/tex] = [tex]\sqrt[5]{27}[/tex]

[tex]\sqrt[4]{256} = \sqrt[4]{2^{8} } = 2^{2} = 4[/tex]

[tex]a^{\frac{b}{c} } = \sqrt[c]{a^{b} }[/tex]

[tex]\sqrt[3]{125^{2} } = \sqrt[3]{ (5^{2})^{3} } = 5 ^{2} = 25[/tex]

[tex]\sqrt{112} = \sqrt{2^{4} * 7 } = 4\sqrt{7}[/tex]

Step-by-step explanation:

Answer: are numbers which  include all the rational numbers, such as -3 which is an integer and the fractions such as 5/4, and all the irrational numbers, such as √7, and π

Answer:

third option

Step-by-step explanation:

Given

3 [tex]\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right][/tex]

Multiply each element in the matrix by 3

= [tex]\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right][/tex]  

Answer:

C.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Cos(D) = adjacent / hypotenuse

The adjacent side is the one making up angle  D

adjacent side = f

hypotenuse = e

Cos(D) = f/e

D = cos-1(f/e)

Its a sphere

[tex]\boxed{\sf Volume=\dfrac{4}{3}πr^3}[/tex]

[tex]\\ \sf\longmapsto Volume=\dfrac{4}{3}\times\dfrac{22}{7}\times 3^3[/tex]

[tex]\\ \sf\longmapsto Volume=\dfrac{4\times 22}{7}\times 9[/tex]

[tex]\\ \sf\longmapsto Volume=113.1ft^3[/tex]

Answer:

A. width = 13.5 ft; area = 182.3 ft2

Step-by-step explanation:

Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x – x2, where x = width, gives you the. Answer: The width of the dog pen is 13.5 ft and the area is 182.3 square feet.

Answer:

268

Step-by-step explanation:

2(2×6+2×2+2×6) + 2(4×5+4×10+10×5) - 2(2×2)

= 56+220-8

= 268 cm²

Answer:

272cm

Step-by-step explanation:

So the green block has 6 sides

the height of the prism is 4cm

the length is 10cm

and the width is 5cm

to find the top and bottom sides we must find the width and length

5x10=50cm so The bottom and top are double that so 100cm is covered so far

to find the longer sides, we times 4 by 10 = 40x2 = 80cm which covers 2 sides

and the last 2 sides of the green block are the smaller ones so 4x5 = 20 but that covers one side so we times by 2 andd that gives us both sides so 40cm

all 6 sides are covered so we can add up the numbers

top and bottom = 100cm

front back = 80cm

left and right = 40

add them all up and we get 220

now we see the purple block, this is the Same process as before

top = 2x2 = 4

bottom = 2x2 = 4

front = 6x2 = 12

back = 6x2 = 12

left = 6x2 = 12

right = 6x2 = 12

add them together and we get 56cm

the surface area of both of them Is 220+56 = 276cm

however the bottom of the purple prism is on top of the top of the green prism. Because we know the surface area of the bottom of the purple  (4) and the top Surface of the green (50).

this allows us to subtract the prism above because of the bottom shapes surface so the actual answer is  272cm hope this helped

Step-by-step explanation:

2y³z²

2(-1)³(3)²

=2(-1)(9)

=-18

Answer:

( -5, 1)

Step-by-step explanation:

When we reflect over the x axis

(x,y)→(x,−y)

( -5, -1) becomes ( -5, - -1)  which is ( -5, 1)

2/3 divided by -2

now,

answer= 2/3×1/2

we need to receprocal the number if we have to change division into multiplication...

= 1/3

we cut 2 as it is equal and present in both denomenator and numerator....

Answer:

-2/6

Step-by-step explanation:

Answer:

17 =x

Step-by-step explanation:

These are alternate interior angles and alternate interior angles are equal when the lines are parallel

9x+7 = 10x-10

Subtract 9x from each side

9x+7-9x = 10x-10-9x

7 = x-10

Add 10 to each side

7+10 =x-10+10

17 =x

Answer:

10

Step-by-step explanation:

just divide 90 by 0 and u will get the answer

Answer:

10ft

Step-by-step explanation:

To find the area of a rectangle, it is width✖️height.

Because the area and the height is given,

Area: 90ft^2

Height: 9ft.

to find the width, you need to divide 90/9=10

So, the width is 10ft.

To check just in case, you can multiply 10 ✖️9=90

Hope this helped, have a nice day!

Part (a)

The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26

===============================================

Part (b)

Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3

===============================================

Part (c)

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.

Answer:

15

Step-by-step explanation:

Aaron and his 2 friends = 3 people

Each received $5.00 = 3 people*5 each = 15 total

ANS=40

hope this help you

bye have a great day :)

Answer:

Graph B

Explanation:

Answer:

0.324m^2 ; 18 ft

Step-by-step explanation:

Given the triangle :

Base (b) of triangle = 54cm

Height (h) of triangle = 1.2m

Area(A) of a triangle is given by:

0.5 * base * height

Base = 54cm = 54/100 = 0.54 m

Therefore,

A = 0.5 * 0.54m * 1.2m

A = 0.324m^2

2.) Average of the two bases in the trapezoid :

From the trapezium Given :

Base 1 = 15 feets

Base 2 = 7 yards

1 yard = 3 Feets

Therefore, base 2 in Feets = 7 * 3 = 21 Feets

Average of the two bases :

(21 Feets + 15 Feets) / 2

= 36 Feets / 2

= 18 Feets

Answer:

16 yards of barbed wire

Step-by-step explanation:

Length=5 yards

Width=3 yards

Perimeter of the pasture=2(length + width)

=2(5 yards +3 yards)

=2(8 yards)

=16 yards

You should order 16 yards of barbed wire for fencing the pasture

Answer:

a

Step-by-step explanation:

A discrete random variable has a countable number of possible values. In this case I am pretty sure it is either none of the above or maybe the phone one.

Discrete random variables are simply countable, which should be a finite number and it should not change continuously. So, Time worked on a job is the discrete random variable among the four options.          

A random variable is said to be discrete if an experiment gives a finite number that is countable and should not change continuously.

Here, Time worked on a job has a fixed time for a job has to be done. So, it is a discrete random variable.

No. of girls in a family,

No. of outcomes of the head when two coins are flipped.

No. of defective street lights out of 100 bulbs in a certain area.

No. of the possible outcome of getting 4 when a dice is thrown twice.

The weight of a child changes as the child grows. So, it cannot be a discrete random variable.

The first digit of a phone number also changes for each and every person, whenever a person changes his /her number automatically will get a new number and it will have a different digit. So, it cannot be a discrete random variable.

The length of fish also varies according to the different sizes of fish. So, it cannot be a discrete random variable.

Know more about the discrete random variables:

https://brainly.com/question/17238189?referrer=searchResults

#SPJ2

Answer:

5.83142789

Step-by-step explanation:

did it on a graphing calculator, hope this helps

Answer:

72 sq cm

Step-by-step explanation:

Surface area of the cuboid is 2*(lb+bh+lh)=2*(12+18+6)=2*36=72

Answer:

36 sq cm

Step-by-step explanation:

This prism is formed by rectangles, and to find the area of a rectangle you have to multiply its sides. So, to find the surface area, you find the area of each rectangle and after add it all:

3×2 = 6 sq cm, and your have two of this rectangles

6×2 = 12 sq cm, and you also have two of this

3×6 = 18 sq cm, and also have two of this

6 + 12 + 18 = 36 sq cm

Answer:

a)24

Step-by-step explanation:

since NM is a radius it comes in contact with the tangent at an angle 90

MLN is a triangle meaning sum of angles =180°

90+24+x=180

156+x=180

x=24°

Answer:

Step-by-step explanation:

[tex] \sf{3x + 2(4x - 4) = 3}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{3x + 8x - 8 = 3}[/tex]

Collect like terms

⇒[tex] \sf{11x - 8 = 3}[/tex]

Move 8 to right hand side and change it's sign

⇒[tex] \sf{11x = 3 + 8}[/tex]

Add the numbers

⇒[tex] \sf{11x = 11}[/tex]

Divide both sides of the equation by 11

⇒[tex] \sf{ \frac{11x}{11} = \frac{11}{11} }[/tex]

Calculate

⇒[tex] \sf{x = 1}[/tex]

Hope I helped!

Best regards!

Answer:

x=7/20

Step-by-step explanation:

you have to multiple the outside factor by number which are inside of parenthesis but the signs should be same

3x(4×)=12x

3x(4)=12

2(4x)=8x

2(4)=8

write it as an equation and find the like terms

12x-12+8x-8=3

20x-4=3

Then add 4 and divided

20x-4=3

+4 +4

20x/20=7/20

the is a fraction

x=7/20