in digging a pipe trench that measures 29 feet long, 2 feet 9 inches wide, and 3 feet 6 inches deep.
How many cubic yards of earth were removed from the site?

Answer:

Graph B

Explanation:

Answer:

a=6.25 unit^2

Step-by-step explanation:

Given:

A=30°

b=5

c=2½

Required:

a=?

Formula:

a=½b*h

Solution:

a=½b*h

=½5*2½

=½*5*5/2

=0.2*5*5/2

=2.5*5/2

=2.5*2.5

=6.25 unit^2

Hope this helps ;) ❤❤❤

Answer:

The answer is B or 3 1/8

Step-by-step explanation:

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!

Answer:

21 squares

Step-by-step explanation:

Here in this question, we are given a pattern and we want to determine what the values in that pattern will be at a specific step.

We proceed as follows;

What we can see in this pattern is that the difference in number of squares between a pattern and the next pattern increases by the addition of the next integer to the number of squares we have in the last pattern.

Thus for step 5, we shall be adding the next integer( 5) to the number of squares ;

That would be 10 + 5 = 15 squares

For step 6, we shall be adding the next integer (6) to the number of squares in step 5.

That would be 15 + 6 = 21 squares

How we got the initial next integer?

step 1 = 1 square

step 2 = 3 squares ( integer difference of 2)

step 3 = 6 squares ( integer difference of 3)

step 4 = 10 squares ( integer difference of 4)

so;

step 5 = 15 squares ( integer difference of 5)

step 6 = 21 squares( integer difference of 6)

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:

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)

Answer:

b or d

Step-by-step explanation:

igxgkztjsy,hfzfjzitzgmzfjztzutzjvahfzgkzjrJt

Answer:

A

Step-by-step explanation:

A mode is the value that appears most frequently in the data set because there is not more than one of any number the data set has no mode.

The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).

The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.

Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.

Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.

Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].

Learn more about probability notation here:

https://brainly.com/question/22159331

Answer:-

Refer to attachment for the required solution.

Answer:

Step-by-step explanation:

Answer:

4096

Step-by-step explanation:

8^6÷8^2

First step is to solve the exponents

8 to the power of 6 is 262144

8 to the power of 2 is 64

Then divide 262144 by 64 : 4096

Answer:

it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n

so 8 to the power 6-2

= 8 to the power 4

that will be 4,096

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)

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:

16. 1 miles

Step-by-step explanation:

Using Pythagorean Theorem,

a^2 + b^2 = c^2

Since the road that goes from his home to work directly is c^2...

Plug in the rest of the numbers

16^2 + 2^2 = c^2

256 + 4 = c^2

260 = c^2

The reverse square of 260 is

16. 1 miles

Answer:

5.83142789

Step-by-step explanation:

did it on a graphing calculator, hope this helps

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

Answer:

[tex]{ \sf{ \sqrt{r} = \sqrt{(x {}^{2} + {y}^{2} ) } }}[/tex]

Step-by-step explanation:

General equation:

[tex]{ \bf{ {x}^{2} + {y}^{2} + 2ax + 2by + c = 0}} \\ [/tex]

but a and b are 0:

[tex]{ \bf{ {x}^{2} + {y}^{2} = {r}^{2} }} \\ { \bf{ \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{r} }}[/tex]

The value they should put on the sign where people tee off so they know

what par is for the hole is six (6)

The reasoning through which the correct answer is arrived at is presented here given table of values which is presented as follows;

[tex]\left[\begin{array}{ccc}Golf \ Strokes \ (x)&Frequency \ (f) & f \times x\\2&16& 32\\3&21&63\\4&23&92\\5&20&100\\6&54&324\\7&40&280\\8&23&184\\9&16&144\\\sum&213&1,219\end{array}\right][/tex]

The mean number of golf strokes for the hole is ∑(f·x)/∑f

The calculation for f × x on the table includes;

∑(f·x) = (2×16 + 3×21 + 4×23 + 5×20 + 6×54 + 7×40 + 8×23 + 9×16) = 1219

∑f = 16 + 21 + 23 + 20 + 54 + 40 + 23 + 16 = 213

∴ ∑(f·x)/∑f = 1,219/213 = 5.72 ≈ 6

The mean number of golf strokes expected is approximately 6 strokes

The value they should put on the sign where people tee off so they know what par is for the hole is 6

All of 4x+8 is under a cube root sign.

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

Work Shown:

To find the inverse, we swap x and y, then solve for y.

[tex]y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\[/tex]

------------

Side note:

If [tex]f(x) = \frac{1}{4}x^3 - 2[/tex] and [tex]g(x) = \sqrt[3]{4x+8}[/tex], then [tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.

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:

Step-by-step explanation:

let the height of the room(h) = x

Length(l) = 3*x = 3x

length = 2 * breadth

breadth(b) = length /2 = 3x/2

Cost of whitewashing the 4  walls = ₹ 7200

Area of 4 walls = 7200 ÷ 50 = 144 m²   ------(I)

Area of walls = 2lh + 2bh

                      = 2*3x*x + 2  *[tex]\frac{3x}{2}[/tex] * x

                       = 6x² + 3x²

                        = 9x²

9x² = 144    {From (I)}

x²  = 144/9

x²  = 16

x = [tex]\sqrt{16}=\sqrt{4*4}[/tex]

x = 4 m

height = 4 m

length = 3*4 = 12m

Breadth = [tex]\frac{3}{2}*4=3*2=6 \ m[/tex]

Area of floor = l*b

                    = 12 * 6

                    = 72 m²

Cost of carpeting the floor = 72 * 325 = ₹ 23400

Answer:

A can with capacity 44 litres

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

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:

[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:

c

Step-by-step explanation:

plug in 6 or -6 into x. square it. get 36 -11 =25

Answer:

c/d(most likely d)

Step explanation:

f(x)=x^2-11

For f(x) to be <25 x^2-11 must be x^2-11 < 25

Number just greater than 25 is 26 so x^2-11<25

x^2-11<25

x^2<36

x<√36

Therefore, for x^2-11<25 x must be between +6 & -6

Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)

Answer:

Yes

Step-by-step explanation:

If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.

a=16

b=63

c=65

[tex]16^2+63^2=65^2[/tex]

Evaluate each exponent.

16^2=16*16=256

[tex]256+63^3=65^2[/tex]

63^2=63*63=3969

[tex]256+3969=65^2[/tex]

65^2=65*65=4225

[tex]256+3969= 4225[/tex]

Add 256 and 3969

[tex]4225=4225[/tex]

The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.

Answer:

Total enclosed space = 6597.35 ft³

Step-by-step explanation:

Firm 1's structure is in the form of a cylinder, so the formula to get the enclosed space or volume of the cylinder will be,

Volume = πr²h

where r = radius of the structure

h = height of the Firm

By substituting the values of 'r' and 'h' in the given formula,

V = [tex]\pi (\frac{70}{2})^{2}(60)[/tex]

  = [tex]\pi (35)\times 60[/tex]

  = 6597.345

  ≈ 6597.35 cubic feet

Total enclosed space of Firm 1 is 6597.35 cubic feet.

Answer:

pi*r sqrq

Step-by-step explanation:

bc its a cirlce

total SA=10445.8 units sqrt

ur welcome

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:

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