If it takes one man three days to dig a hole, how long does it take two men to dig half a hole?

The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

a) Let l represent the length of the guy wire.

sin(30) = (170 - 15) / l

l = 310 feet

b) Let Ф represent the angle, hence:

tanФ = 100/230

Ф = 23°

The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°

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Answer:

The numbers are 75,68

Step-by-step explanation:

Let the number be a ,b

The sum of two numbers is 143

⇒   x + y = 143 -------------(I)

Their difference is 7

⇒ x - y = 7 --------------(II)

Add the equation (I) & (II) and thus y will be eliminated and we can find the value of x

(I)     x + y = 143

(II)   x -  y = 7        {Now add}

     2x       = 150

            x  = 150 ÷ 2

x = 75

Substitue x =  75 in equaion (I)

75 + y =143

      y = 143 - 75

y = 68

Answer:

Bottom left & bottom right

Step-by-step explanation:

Bottom left & bottom right are only being moved in x-axis (i direction) & y-axis (j direction)

Top left uses translation and rotation

To right uses reflection

Kate has $37, Mary has $48, and Amy has $74.

Given that Mary, Kate and Amy have a total of $159, and Mary has $11 more than Kate, while Amy has twice as much money as Kate, to determine how much money each girl has, the following calculation must be performed:

So Kate has $37, Mary has $48, and Amy has $74.

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Answer:Kate has $37, Mary has $48, and Amy has $74.

Step-by-step explanation:

Step-by-step explanation:

a)

Eric runs for 4 min and walks for 8 min.

The distance covered is

The goal of 1600 m is not met, needs additional 160 m

b)

The equation of distance is

c)

For d = 1600, the equation is

Simplified form of it

Some combinations of x and y to make the equation right

d)

See the attached graph for more combinations, where the first coordinate represents running time and the second coordinate - walking time

Answer:

Given:

If Eric runs for 4 minutes ⇒ 200 x 4 = 800 m

If Eric walks for 8 minutes ⇒ 80 x 8 = 640 m

Total distance covered = 800 + 640 = 1440 m

Therefore, he is 160 m away from his 1600 m goal.

Let x = number of minutes Eric runs

Let y = number of minutes Eric walks

Let d = total distance Eric covers

Equation:   d = 200x + 80y

Set d = 1600, then rewrite to make y the subject:

200x + 80y = 1600

⇒ 5x + 2y = 40

⇒ 2y = 40 - 5x

⇒ y = 20 - 2.5x

Now find ordered pairs (points on the line):

Plot (8, 0)  (0, 20)  and (4, 10) and connect with a straight line.

(see attached graph)

From inspection of the graph, other combinations of running and walking times for which Eric would cover 1600 meters are:

Answer:

x less than or equal to -24

graph attached

Step-by-step explanation:

attached in image

Answer:

I THINK THR ANSWER IS A !

Answer:

1. U should know what the median is the median is the middle.

2. The interquartile range is when u subtract the 1 and 3 meidan.

3. The rang is when u subtract the biggest number from the smalest number.

Step-by-step explanation:

I hope this helped u . If not than please ask me.

>.

hope it helps...!!!!!!

The equation of the ellipse in standard form with vertices along the major axis at (0, 1) and (0, -9) and the foci of the ellipse at (0, -1) and (0, -7) is (y+4)²/16 + x²/25 = 1.

The location of the center of the ellipse is the midpoint of the line segment between the ends of the major axis, that is:

(h, k) = 0.5 · (0, 1) + 0.5 · (0, -9)

(h, k) = (0, -4)

The length of the major semiaxis (b) is 5 and the distance between the center and any of the foci (c) is 3. Then, the length of the minor semiaxis is:

[tex]a = \sqrt{b^{2}-c^{2}}[/tex]     (1)

a = 4

Lastly, we substitute all the variables and conclude that the equation of the ellipse is (y+4)²/16 + x²/25 = 1. [tex]\blacksquare[/tex]

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Answer:

A=10

Step-by-step explanation:

Got it right on Edge2022

Answer:

y = 2

Step-by-step explanation:

Given equation:

[tex]2y - 5 = 5y - 11[/tex]

Subtract 5y both sides:

[tex]\implies 2y - 5 = 5y - 11[/tex]

[tex]\implies 2y - 5 - 5y = 5y - 5y - 11[/tex]

[tex]\implies -3y - 5 = -11[/tex]

Add 5 both sides:

[tex]\implies -3y - 5 = -11[/tex]

[tex]\implies -3y - 5 + 5 = -11 + 5[/tex]

[tex]\implies -3y = -6[/tex]

Multiply -1 both sides:

[tex]\implies -3y = -6[/tex]

[tex]\implies \dfrac{-3y}{-1} = \dfrac{-6}{-1}[/tex]

[tex]\implies 3y = 6[/tex]

Divide 3 both sides:

[tex]\implies 3y = 6[/tex]

[tex]\implies \dfrac{3y}{3} = \dfrac{6}{3}[/tex]

[tex]\implies \boxed{y = 2}[/tex]

The statement that determines if an expression has its value between 0 and 1 is the IF conditional statement

To find if the value of an expression is between 0 and 1, we make use of an IF conditional statement

Assume the programming language is Python, and the expression is represented by the variable x.

The statement that determines the range of the expression is:

if x >= 0 and x <= 1

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Answer:

At origin x-axis and y-axis are Zeros and when the the will at x-axis then y-axis wil zero so,

C is the right answer

Answer:

119

Step-by-step explanation:

64 + 23 + 32

119 I think

Answer:

C. 3x^2 -6

Step-by-step explanation:

f(x) = 2x^2 +1

g(x) = x^2 -7

(f+g)(x) is simply the sum of the above functions.

(f+g)(x) = 2x^2 +1 + x^2 -7 = 3x^2 -6

The amount of money Trevon had last Friday⇢$29

The total amount of money he has after cleaning the attic⇢$41

So,

The amount of money he received after cleaning the attic ⇢ Total money he has after cleaning the attic - The money he had last Friday

Thus ,he received $ 12 for cleaning up the attic.

The cost of the game ⇢$30.98

The amount of money she gave to the cashier ⇢$40

The amount she'll receive back⇢ the amount of money she gave to the cashier - the cost of the game

Hence , she'll receive $ 9.02 back from the cashier.

Answer:

Given:

To calculate the money Trevon received for cleaning the attic over the weekend, we need to find the difference between the money he started with and the money he now has.  To find the difference, subtract the smaller number from the bigger number:

⇒ Money Trevon received = Money he has now - money on Friday

                                             = $41 - $29

                                             = $12

Therefore, Trevon received $12 for cleaning the attic over the weekend.

Given:

To calculate the change Jenny received from the cashier, we need to find the difference between the two amounts.  To find the difference, subtract the cost of the game from the money Jenny gave to the cashier:

⇒ Change = money given - cost of game

                 = $40 - $30.98

                 = $9.02

Therefore, Jenny received $9.02 in change from the cashier after paying for a game that costs $30.98 with $40.

Answer:

Step-by-step explanation:

(a). sin2x + sinx = 0  ( 0 ≤ x ≤ 2π )

sin2x = 2sinx(cosx)

2 ( sin x )( cos x ) + sin x = 0

sin x ( 2 cos x + 1 ) = 0

sin x = 0 ⇒ x = 0 , [tex]\pi[/tex] , [tex]2\pi[/tex]

2 cos x = - 1

cos x = [tex]-\frac{1}{2}[/tex]  ⇒ x = [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex]

x ∈ { 0 , [tex]\frac{2\pi }{3}[/tex] , [tex]\pi[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]2\pi[/tex] }  

(b). sin 2x - 2 cos x = 0 ( 0 ≤ x ≤ 2π )

2 cos x ( sin x - 1 ) = 0

cos x = 0 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]

sin x = 1 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]

x ∈ {  [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex] }  

Answer:

7

Step-by-step explanation:

To evaluate an expression given a valeu means to substitute the value in. So :

1/2(2)^4 - 1/4(2)²

First we do powers since we follow BODMAS/BIDMAS :

1/2(16) - 1/4(4)

Now we do multiplication:

8 - 1

Now we do the only step left of simplification through subtraction:

8 - 1 = 7

Hope this helped and brainliest please

The value of (1/2)x⁴ - (1/4)x² when x = 2 is 7.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is (1/2)x⁴ - (1/4)x².

We have to calculate the value of the expression when x = 2.

Substitute x = 2 in the expression.

(1/2)x⁴ - (1/4)x² = (1/2) (2)⁴ - (1/4) (2)²

                       = (1/2) × 16 - (1/4) × 4

                       = 16/2 - 4/4

                       = 8 - 1

                       = 7

Hence the value of the expression when x = 2 is 7.

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Answer:

6 units

Step-by-step explanation:

Volume of square pyramid is

  1/3    *  base area  *  height

For the first pyramid

  70  =  1/3  *  base  *  6

   base = 35

For the second pyramid

 70 = 1/3  * 35 * h

 h = 6  

Answer:

1. 168 inches squared 2. 55 centimeters squared 3. 18 meters squared 4. 62 feet squared

Step-by-step explanation:

To find the area of a parallelogram, multiply the base times the height. For numbers three and four, do the same thing, except subtract the area of the rectangles inside them (the area for the rectangles are also base times height).

Answer:

the rule is multiply input by 25 then add 2, for example 2 x 25 = 50, 50 + 2 = 52

Step-by-step explanation:

this is because you minus 2 from the output to see the pattern from input. For example, 52 - 2 = 50 and to get from 2 to 50 you have to multiply by 25. This can be seen in the other numbers as well. Therefore the answer as a graph will be y = 25x + 2

Answer:

52 divided by 2 equal 26

102 divided by 4 equal 25.5

127 divided by 5 equal 25.4

177 divided by 7 equal 25.28

202 divided by 8 equal 25.25

Step-by-step explanation:

The intersection of the rays KV and JP would create vertical angles

The expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK

The rays are given as:

Rays KV and JP

The point of intersection is given as:

Point M

When the rays KV and JP intersect at point M, the following angles are created

KMJ, JMV, PMV and PMK

Such that:

The above means that angles KMJ and PMV are equal and

PMV = 180 - JMV

PMV = 180 - PMK

Hence, the expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK

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The perimeter of the room is 624 inches.

We need 657 tiles to cover the floor.

We need to add 66 extra tiles to account for the overage due to grout and waste.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Length = 10 ft 9in

Width = 15ft 3 in

a.

Perimeter = 2 (Length + Width)

Length = 10 ft 9 in = (10 x 12) + 9 = 129 in.

Width = 15 ft. 3 in. = (15 x 12) + 3 = 183 in

Perimeter.

= 2(129 + 183)

= 624 in.

b.

Area = Length x Width

Area = 129 in. x 183 in

Area == 23,607 in²

Each tile covers an area of 6 in. x 6 in

Area of tiles = 36 in²

So,

The number of tiles required.

= Area ÷ Tile area

= 23,607 in² ÷ 36 in²

≈ 656.3 tiles.

c.

10% of 657

= 10/100 x 657  

= 0.1 x 657

= 65.7

= 66

Thus,

The perimeter of the room is 624 inches.

We need 657 tiles to cover the floor.

We need to add 66 extra tiles to account for the overage due to grout and waste.

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4\5 divided by 3\7

4/5 ÷ 3/7

4 = dividend numerator

5 = dividend denominator

3 = divisor numerator

7 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

you multiply the dividend denominator by the divisor numerator to make a new denominator:

4 × 7/ 5 × 3

= 28/15

Thus, the answer to 4/5 divided by 3/7 in fraction form is 28/15.

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 8 \times 2 \times 5}[/tex]

[tex] \mathsf \purple{v = 80 \: cubic \: units} [/tex]

Answer:

80 cubic units

Step-by-step explanation:

Given

Volume = Length x Width x Height

Answer:

Make two piece of this figure

Step-by-step explanation:

then use formula of v = l × b × h

Answer:

$189.20

Step-by-step explanation:

Since 12% off is the same thing as 88% of the original value, then you can simply multiply 215 by 0.88. This results in 189.2.

Answer:

$189.2

please make this answer brainliest If I helped you!