What is the area of this figure ?

Answer:

86.60 units²

Step-by-step explanation:

It’s composed of two equilateral triangles (60-60-60).

(10√3)/2=8.66 (the height of each triangle

area = 1/2bh

1/2(10)(8.66)=43.30127

43.30127x2=86.60254

Answer:

Step-by-step explanation:

a+s=14

a=14-s

a+8s=56, using a from above in this equation gives

14-s+8s=56

14+7s=56

7s=42

s=6

a=14-s

a=14-6=8

So student tickets cost $6 and adult tickets cost $8.

Answer:

[tex]468 {in}^{2} [/tex]

Step-by-step explanation:

see attached image, surface area is the area of each surface added together

Answer:

(-,+)

Step-by-step explanation:

Q2 is on the top left, with answer in form of (x,y). Top right is Q1, bottom left is Q3, and bottom right is Q4.

Answer:

A) 3 x 6 = 18 in^2

B) 11 x 8 x 0.5 = 44 in^2

C) 18 + 44 = 62 in^2

Answer:

a (6,-3)

b (9,0)

c (5,1)

Step-by-step explanation:

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Find x

Since both shapes are similar, then:

[tex]LM : KN = RV : SP[/tex]

This gives:

[tex]4x + 4 : 7x - 9 = 48 : 60[/tex]

As fraction:

[tex]\frac{4x + 4 }{ 7x - 9} = \frac{48 }{ 60}[/tex]

Simplify:

[tex]\frac{4x + 4 }{ 7x - 9} = \frac{4 }{ 5}[/tex]

Cross Multiply:

[tex]5(4x + 4) = 4(7x - 9)[/tex]

[tex]20x + 20 = 28x - 36[/tex]

Collect Like Terms

[tex]28x - 20x = 20 + 36[/tex]

[tex]8x = 56[/tex]

[tex]x = 7[/tex]

Answer:

26.4594

Step-by-step explanation:

I mean im not sure i can teach you addition

Answer:

cool

Step-by-step explanation:

Answer:

tells i think

Step-by-step explanation:

it would be tattling not telling..righttttt?????

Answer:

y=-3x+7

Step-by-step explanation:

m=gradient=-3

Answer:

sorry I cant understand--

Answer:

.91 is the unit price

Step-by-step explanation:

The unit price in terms of pounds is just 4.55/5 which is .91 so the answer is 91 cents.

Answer:

Option C: 2 books for $14, 5 books for $35

Step-by-step explanation:

A proportional relationship between two quantities would always have a constant of proportionality. Thus,

Constant of proportionality, k = y/x

In this case,

x = quantity of books

y = price

Let's see which pair will have a constant of proportionality:

Option A: 4 books for $24,8 books for $40

24/4 = 6;

40/8 = 5.

No constant of proportionality.

Option B: 5 books for $25, 6 books for $36

25/5 = 5

36/6 = 6

No constant of proportionality.

Option C: 2 books for $14, 5 books for $35

14/2 = 7

35/5 = 7

Constant of proportionality, k = 7.

This pair represents a proportional relationship.

Option D: 3 books for $15, 7 books for $28

15/3 = 5

28/7 = 4

No constant of proportionality.

Answer:12 is a common denominator!

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you look at the equation, you can tell that it's asking for the difference of a number and 32. Add together 65 and 32 to get 97.

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the applicable ratios:

  Tan = Opposite/Adjacent   ⇒   tan B = CA/CB = 12/5

  Cos = Adjacent/Hypotenuse   ⇒   cos B = BC/BA = 5/13

  Sin = Opposite/Hypotenuse   ⇒   sin B = AC/AB = 12/13

Answer:

4.24264

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

I don't know how to explain. •-• Sorry!

Answer:

no

Step-by-step explanation:

the total would be $19.55 before tax and tip

Answer: 4/15

Step-by-step explanation: 4/5 divided by 3 is the same as 4/5 times 1/3 wich is the reciprocal of 3

Answer:

3 + 4 + 5 = 12

180÷12 = 15

for 3 it will be 3×15=45

for 4 it will be 4×15 =60

for 5 it will be 5×15 =75

Answer:

9000

Step-by-step explanation:

Answer:

6236.78454 or 6236.78

Step-by-step explanation:

Use formula A=P(1+r)^t

A=3000(1+0.05)^180/12

*convert 15 years to moths* 180 months

A=3000(1.05)^180/12

A=3000(2.07892818 )

A=6236.78454 or 6236.78

Hope this helps ^-^

Answer:

D. 8 cm

Step-by-step explanation:

Reference angle = 60°

Opposite side = BC = 8√3

Adjacent side = AC = ?

Thus:

Tan (60) = opp/adj

Tan (60) = (8√3)/AC

AC*Tan(60) = 8√3

Divide both sides by tan (60)

AC = (8√3)/Tan(60)

AC = (8√3)/√3 (tan 60 = √3)

AC = 8 cm

Answer:

C) 55 cm^2

Step-by-step explanation:

(12x3)+(8x2)+(1/2)(3)(2) = 55

The area of composite figure is 55 square cm .

The space occupied by a flat shape or the surface of an object is called area.

[tex]A = \frac{1}{2}bh[/tex]

Where,

A is the area of triangle

b is the base of the triangle

h is the height of the triangle

A = b × h

Where,

A is the area of parallelogram

b is the base of parallelogram

h is the height of the parallelogram

A = length × breadth

According to the given figure

Composite figure is made up of triangle, rectangle and parallelogram

Also,

Height of triangle = 3cm

Base of the triangle = 2cm

length of the rectangle = 8cm

breadth of the rectangle = 2cm

Height of the parallelogram = 3cm

Base of the parallelogram = 12cm

Therefore,

Area of triangle = 1/2 × 3 ×2 = 3 square cm

Area of rectangle = 2 × 8 = 16 square cm

Area of parallelogram = 12 × 3 = 36 square cm

Therefore,

Area of the composite figure = area of triangle + area of parallelogram + area of rectangle

⇒ Area of composite figure = 36 + 16 + 13 = 55 square cm.

Hence, the area of composite figure is 55 square cm .

Learn more about area here:

https://brainly.com/question/27683633

#SPJ2

Answer: -4≤x≤6 (3rd option)

Step-by-step explanation:

Domain basically means the farthest x values going left and right on a graph. in this case x could be between -4 and 6 as well as equal to both -4 and 6

Answer:

1 meter left

Step-by-step explanation:

100 cm makes up a meter so 300 + 400 is 700 which is 7 meters so he has 1 meter left

Answer:

Mr. Ryan has 1 meter or 100 centimeters ethier (answer is correct)  

Step-by-step explanation:

How many meters of cable did Mr. Ryan have left?

Let's start here with that for every meter(m) there is 100 centimeters(cm) so in other words 1 meter = 100 centimeters

300 cm=3 m           400 cm=4 m

3m+4m=7m             300cm+400cm=700cm

__________________________________________________________800cm-700cm=100cm

8m-7m=1m  

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

For point a:

Space for results All possible outcomes are:

[tex]\to O = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,}[/tex]

           [tex]17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, \\ 29, 30, 31, 32, 33, 34, 35, 36, 0, 00}[/tex]

For point b:

[tex]\to P(A) = \frac{ \text{ \# of outcomes in A}}{ \text{ \# Total outcomes}} = \frac{2}{38} = 0.052[/tex]

For point c:

[tex]\to P(B) = \frac{ \text{ \# of outcomes in B}}{\text{ \# Total outcomes}} = \frac{4}{38} = 0.105[/tex]

For point d:

We consider that in D there are 18 elements (only Odd numbers in the range 1 to 36)

[tex]\to P(D) = \frac{ \text{\# of outcomes in D}}{\text{\# Total outcomes}} = \frac{18}{38} = 0.473[/tex]

Answer:

Rs 57750

Step-by-step explanation:

width =5 m

length of first parallel road 70 m

area of first road 70×5=350 sq.m

length of second road 45 m

area of second road =45×5=225 sq.m

area of the common part of cross road with 5 m width that lies at the

center of the park 5×5 = 225 sq.m

area of roads = area of first road +area of second cross road−common area

=(350+225)−25

=575−25

=550sqm

​

cost of the construction per sq.m =Rs.105

total cost =550×105=Rs 57750

Answer:

Division

Step-by-step explanation:

You divide f by x and since you have to do the same thing you did to f on the other side you divide zx by x which also cancels out x on both sides. which would leave you with f = z + 7. (I'm sorry if i'm wrong)