A scale drawing of a triangular playground is shown.

What is the perimeter, in feet, of the actual playground?

A. 31.5
B. 55.5
C. 84
D. 252
ASAP

Answer:

As 6x+8 = 68

=> x = 10

Hope it helps

By question it's given that m || n . So here we can use the properties of parallel lines . One of them which we will use here is ,

Here the two given angles are corresponding angles hence they will be equal. We create them in order to find the value of x.

[tex]\sf\implies 68^o = 6x + 8^o \\\\\\\sf\implies6x = 68^o - 8^o\\\\\sf\implies 6x = 60^o \\\\\\\sf\implies x = 60^o/6 \\\\\\\sf\implies \boxed{\red{ \sf x = 10^o }}[/tex]

Hence the value of x is 10° .

Answer:

6

Step-by-step explanation:

two equations can be derived from the question

y - 2x = 3 equation 1

y - 3x = -3 equation 2

y = number of toffees

x = number of children

subtract equation 2 from 1

x = 6

Answer: 70.77 or 71 if rounded up

Step-by-step explanation:

Add all the scores then divide to 18.

Answer:

B

Step-by-step explanation:

I Think I Got It Right But This Is From A LONG time ago

Answer:

B. 60

Step-by-step explanation:

I am pretty sure this is a 30-60-90 similarity right triangle. If that's the case, then the answer is 60 degrees. Have a good day! :DDD

y + 35 = ( y ) + ( y - 31 )

y + 35 = 2y - 31

Add both sides 31

y + 35 + 31 = 2y - 31 + 31

y + 66 = 2y

Subtract both sides y

y - y + 66 = 2y - y

y = 66

Answer:

...

Step-by-step explanation:

the first one ur correct

the second one is 12cm

Answer:

The west side is 12 cm

Step-by-step explanation:

15 kilometers divided by 5 is 3. Since every 5 kilometers is 4 cm, multiply 3 by 4 to get 12

Answer:

Volume = 21.6 ft³

Area = 58 ft²

Step-by-step explanation:

(1)

Applying,

V = lwh......................... Equation 1

Where V = Volume of the rectangular box, l = length of the box, w = width of the box, h = heigth of the box.

From the question,

Given: l = 3 ft, w = 1.2 ft, h = 6 ft.

Substitute these values into equation 1

V = 3×1.2×6

V = 21.6 ft³

(2)

Applying

A = 2(lw+lh+wh)............. Equation 2

Where A = surface area of the box

Also substituting into equation 2

A = 2[(3×1.2)+(3×6)+(1.2×6)]

A = 2(3.6+18+7.2)

A  = 2(28.8)

A = 57.6 ft²

A = 58 ft²

Answer:

4^-8

Step-by-step explanation:

When multiplying two exponents with the same base, in this case, 4, you need to add the two powers (-6 + -2), to get -8.

The favourite colours represent the following angles: red (90°), blue (90°),  green (135°) and yellow (45°).

It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.

Here you can apply the rule of three for finding the angle  of each frequency. The total of people (400) represents the total angle of a circumference which is 360°.

400 ----------- 360°

100 ------------ r

400r=360*100

400r=36000

r=36000/400

r=90°

400 ----------- 360°

100 ------------ b

400b=360*100

400b=36000

b=36000/400

b=90°

400 ----------- 360°

150------------ g

400g=360*150

400g=54000

g=54000/400

g=135°

400 ----------- 360°

50------------ y

400y=360*50

400y=54000

y=18000/400

y=45°

Read more about the rule of three here:

brainly.com/question/24514897

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Answer:

The maximum pizza quantity would be with the pizza of 18 inch

Step-by-step explanation:

The size of the pizza in inches depicts its diameter.

Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch

In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.

For instance

Area of 18 inch pizza

[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch

Area of 12 inch pizza

[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch

Circumference of 18 inch pizza

[tex]2*3.14*9 = 56.52[/tex]

Circumference of 12 inch pizza

[tex]2*3.14*6 = 37.68[/tex]

Answer:

y = 2 units

Step-by-step explanation:

We can solve this in 2 ways, both ways would give the same answer:

#1) Sin(45) = [tex]\frac{\sqrt{2} }{y}[/tex]

=> Sin(45) * y = [tex]\sqrt{2}[/tex]

=> y = [tex]\frac{\sqrt{2} }{Sin(45)}[/tex]

=> y = 2

#2) Cos(45) = [tex]\frac{\sqrt{2} }{y}[/tex]

=> Cos(45) * y = [tex]\sqrt{2}[/tex]

=> y = [tex]\frac{\sqrt{2} }{Cos(45)}[/tex]

=> y = 2

Hope this helps!

Answer:

The value of y is 2 units .

Answer:

None

Step-by-step explanation:

6÷9=0.666...

9.1÷6=1.5166..

6.1÷9=0.6777...

54 is 54

9÷6=1.5

So none are equal

Answer:

the answer is 6 × 1/9

Step-by-step explanation:

6÷ 9 = 0.666

9 × 1/6 = 1 1/2

6 × 1/9 = 2/3 same as 0.666

54 = 54

9/6 = 1.5

Answer:

30ft 2

Bc we first calculate the area of rectangle which is 6x4 which is 24 then we calculate area of triangle which is 6 then 6 + 24 = 30ft squared

Answer: 0.40673664307

Step-by-step explanation:

Answer:

3245$  (im assuming the interest is yearly)

Step-by-step explanation:

using the is/of method

3%       x

___    ___  cross mult and divide. = 82.5 interest x 6 years of it  

100   2750

2750 + 495

Answer:

The correct answer would be: 27x⁶y⁹

Step-by-step explanation:

=> (3x²y³)³

=> 3³x²⁽³⁾y³⁽³⁾

=> 27x⁶y⁹

Hope this helps!

Answer:

I think the answer is C

Answer:

Slope = 1

Step-by-step explanation:

Answer:

did you get the answer yet I have the same question

Answer: a. 8 feet

the first question in part b is 1 and the second part is 9. ( or you could just put 1,9) c. 1 foot taller d. -2 and 4

Step-by-step explanation: you get answer A by looking at the C- value of the equation( in this case it’s 8)

you get the first answer to B by using the axis of symmetry formula -b/2(a) and that equals 1. You get the second answer to B by plugging in 1 into the equation..solve and get 9. So your answers in total should be (1,9)

For part C all you do is subtract the top of the ramp.. which is 8 from your vertex. in other words you do 9-8 and get 1 as your answer for C

Lastly, for D you use the quadratic formula ( or use photo math) and get answers -2 and 4.

If you’re also having problems on part E .. all you have to do is place a dot at point -2, place dot at point 4, place a dot at 8 on the Y AXIS, then place a dot at point (1,9) lastly, connect the dots with a line and the graph should look like an upside down U or V( whatever you think it looks like)

I hope this helped you guys!!

Answer:

respect the traditions and beliefs

Answer:

[tex]\frac{3^{10} }{3^{2} }[/tex] , [tex](3*3)^{4}[/tex], [tex](3^{4})^{2}[/tex]  

Step-by-step explanation:

The expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression. which is the correct answer would be options (B), (D), and (E).

Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. To answer the exponential expressions, we may need to apply the relationship between exponents and logarithms.

As per option (B), we have

3¹⁰/3²

3¹⁰⁻²

Apply the subtraction operation in the exponent

3⁸

As per option (D), we have

(3⁴)²

3⁴ˣ²

Apply the multiplication operation in the exponent

3⁸

As per option (E), we have

(3·3)⁴

(3²)⁴

3⁴ˣ²

3⁸

Thus, the expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression.

Hence, the correct answer would be options (B), (D), and (E).

Learn more about exponential function here:

brainly.com/question/11487261

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X in (-oo:+oo)

X^2 = 1/100 // - 1/100

X^2-(1/100) = 0

X^2-1/100 = 0

1*X^2 = 1/100 // : 1

X^2 = 1/100

X^2 = 1/100 // ^ 1/2

abs(X) = 1/10

X = 1/10 or X = -1/10

X in { 1/10, -1/10 }

Answer:

-8-6

-8+6

6-(-8)

Step-by-step explanation:

Answer:

15. Answer: length = 15 ft; width = 3 ft

16. Answer: base = 14 cm; height = 5 cm

17. Answer: x² - 5x - 24 = 0

Step-by-step explanation:

15.

area of rectangle = length * width

length = x - 2

width = x - 14

area = (x - 2) (x - 14)

We are shown the area to be 45 ft².

We set the expression of the area equal to the given area and solve the quadratic equation for x.

(x - 2)(x - 14) = 45

x² - 14x - 2x + 28 - 45 = 0

x² - 16x - 17 = 0

(x - 17)(x + 1) = 0

x - 17 = 0  or  x + 1 = 0

x = 17  or x = -1

We discard the negative answer, x = -1, since it would give negative length and width.

x = 17

length = x - 2 = 17 - 2 = 15

width = x - 14 = 17 - 14 = 3

Answer: length = 15 ft; width = 3 ft

16.

area = ½bh

area = ½(x - 5)(x - 14)

area = 35

½(x - 5)(x - 14) = 35

(x - 5)(x - 14) = 70

x² - 14x - 5x + 70 = 70

x² - 19x = 0

x(x - 19) = 0

x = 0  or  x - 19 = 0

We discard x = 0 since it would give negative dimensions.

x = 19

base = x - 5 = 19 - 5 = 14

height = x - 14 = 19 - 14 = 5

base = 14

height = 5

Answer: base = 14 cm; height = 5 cm

17.

A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.

[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24

Answer: x² - 5x - 24 = 0

Answer: 224m^3

Step-by-step explanation:

Since V=B(Base)h(Height)

B=1/2x4x8

8x4=32x1/2=16

V=16h

H=14

V=16(14)=224

So your answer is 224m^3

(^3 means cubed)

I hope this helps!

Answer:

It would look about like this

Step-by-step explanation:

Answer:

The area of the parking lot is: 144cm^2

Step-by-step explanation:

Given

See attachment for polygon

Required

The area of the parking lot

The attached plot has 6 congruent triangles with the following dimension;

[tex]Base = 6cm[/tex]

[tex]Height = 8cm[/tex]

[tex]Area = \frac{1}{2} * Base * Height[/tex]

[tex]Area = \frac{1}{2} * 6cm * 8cm[/tex]

[tex]Area = 24cm^2[/tex]

The area of the 6 triangles is:

Area = 6 * Area of 1 triangle

[tex]Area = 6 * 24cm^2[/tex]

[tex]Area = 144cm^2[/tex]