Reflect about the line x=5

The best estimate for the sum of the given fractions is; ¹¹/₂₄

We want to find the sum of the fractions 3/8 and 1/12.

This is expressed as;

³/₈ + ¹/₁₂

Factorizing 1/24 out, we will have;

¹/₂₄(9 + 2)

⇒ 11(¹/₂₄)

⇒ ¹¹/₂₄

Read more about addition of fractions at; https://brainly.com/question/11562149

Answer:

The length of the wire will be 44.83 feet.

Step-by-step explanation:

From the information given, the wire is attached from the top of a 30 foot telephone pole to a stake in the ground. if the angle formed by the wire and the pole is 48°.

Therefore, the length of the wire will be:

cos 48° = 30/x

x = 30/cos 48°

x = 44.83

The length is 44.83 feet.

Length of the wire is equals to 35√2 feet.

"Angle of elevation is defined as the angle between the horizontal plane and the line drawn through the point of observation."

Formula used

sinθ = (Opposite side) / Hypotenuse

According to the question,

Given,

Length of the pole = 35feet

Angle of elevation = 45°

Length of the wire = Hypotenuse

'l' represents the length of the wire

Substitute the value in the formula we get,

sin 45° = (35 / l )

⇒ (1 / √2) = (35 / l )

⇒l = 35√2 feet

Hence,  length of the wire is equals to 35√2 feet.

Learn more about angle of elevation here

https://brainly.com/question/21137209

#SPJ2

Answer: Yes

Step-by-step explanation:

Yes, since the square root of an integer (which is a real number), is a real number.

Answer:

Quadrilateral as it is a four-sided ploygon, having 4 edges and corners

The percentage of more juices that will be in the new package is 35.71%

Word problems in mathematics are things happening in our daily life and we can use mathematical concepts and arithmetic operations to put a solution to those things.

From the given information, it was stated that:

Our objective is to find the percentage of more juice that will be in the new package.

The percentage of more juice in the new package will be:

[tex]\mathbf{=\dfrac{14 - 9}{14} \times 100 \%}[/tex]

[tex]\mathbf{=\dfrac{5}{14} \times 100 \%}[/tex]

= 35.71%

Learn more about word problems here:

https://brainly.com/question/21405634

Answer:

  D. 8-cm square

Step-by-step explanation:

The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...

  289 -225 = 64

Its side dimensions will be √64 = 8 cm.

The diagram is correctly completed by the 8 cm square.

Answer:

The last one (-2,-6),(-1,2),(-2,-7),(6,6)

Step-by-step explanation:

Because there are no pairs with the same x value

Answer:

(D) { (-2, -6), (-1,2), (-2, -7), (6,6)}

Step-by-step explanation:

functions do not have the same x

Answer : D

{ (-2, -6), (-1,2), (-2, -7), (6,6)}

Because the set has two the same x, i.e. -2

(-2,-6) and (-2, -7)

____________________

Answer:

112%

Step-by-step explanation:

percentage change value formula

c2 =  X2  -  X 1       X   100

             X1                   1

WHERE,

C2 = RELATIVE VALUE

X2  = FINAL VALUE  ( TODAY'S VALUE)  = 32,860

X1 = INITIAL VALUE  (1992 VALUE) = 15,500

PERCENTAGE CHANGE = 100

C2 =   32860  -   15500   X   100

                 15500                    1

=    17, 360       X 100

     15,500                 = 1.12 X 100 = 112%.

Answer:

y=x+2

y=x+4

slope intercept form is y=mx+b

Answer:

16850.58 (2DP)

Step-by-step explanation:

Compound Interest Formula = P(1 + [tex]\frac{r}{100}[/tex])^t

P = 10,000

Rate = 11%

Time = 5 years

10000(1.11)^5 = $16850.58

Answer:

35/6

Step-by-step explanation:

We have, 140:24

Dividing by 4 we get 35:6

As there is no other common factor to divide with, 35:6 is the simplest form.

Answer:

c.14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

To get the Greates Common Factor (GCF) of 238 and 462 we need to factor each value first and then we choose all the copies of factors and multiply them:

238:    2   7

462:    2 3 7

GCF:    2   7    

The Greates Common Factor (GCF) is:   2 x 7 = 14

Answer: 266 lbs.

Step-by-step explanation:

First, you subtract 734 from 1134 to get 400. Then, you subtract the number of pounds the water weighs from how much the food and water weighs. So you basically do 400 - 134 to get 266.

Answer:34

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 1, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change =  =  = 34

[tex]\huge\mathtt\blue{answer}[/tex]

D) 54

Step-by-step explanation:

input f(4) into x

f(x) = x² + 8x + 6

f(4) = (4)² + 8(4) + 6

f(4) = 16 + 32 + 6

f(4) = 54

Answer:

Rs. 612,480

Step-by-step explanation:

Hi there,

Here the question asks us to find the cost of leveling a badminton court at the rate of Rs.80 per sq..

So by the word leveling we know that we have to find the area of the court in order to proceed further.

(I am assuming the court to be rectangular in shape).

Area of a rectangle = Length * Breadth

*Length = 132 meters

*Breadth = 58 meters

==> 132*58= 7656 m^2

So now that we got the area of the badminton court lets find the cost of leveling it ==>

Cost of leveling per meter^2 = Rs. 80

Area = 7656 m^2

==> 7656 * 80 = 612,480

So the cost would be Rs. 612,480

If you found this answer helpful please mark me as brainliest.

Answer:

D) 53°

Step-by-step explanation:

Angles AEB and BEC are supplementary.

Step 1: Subtract 127 from both sides.

Therefore, the answer is 53°.[tex]x+127-127=180-127[/tex]

Answer:

The area of the pen would be 15 feet long :)

Step-by-step explanation:

Answer: C. y= 75x + 200

Step-by-step explanation:

Since they charge $75 an hour x represents the house and they charge an initial fee of $200 so you add that to the $75 an hour

Answer:

C

Step-by-step explanation:

The equation y  = mx + b helps use to solve this type of problem

We know the initial amount to rent the gym is $200, that will be our b for this case since it is the y-intercept. This is the y-intercept since that is the initial amount.

The slope for this equation will be 200 represented by m. The key term that represents this is out slope is per. "$75 per hour." Since the function is in hours we don't need to convert hours into another unit.

Now if we plug in the variables, we get the equation y = 75x + 200 which is what C is.

Function assigns the value of one set to another. The whole number that best approximates the value of x is 10.

A function assigns the value of each element of one set to the other specific element of another set.

As it is given that the point √x is plotted on the number line. therefore, the value of x is in square root. Now, in order to get a whole number out of this point function, we need the value of x should be such that when it goes through the function the outcome must be a whole number. therefore, let's substitute the value of x in the function,

A.) 100

[tex]\sqrt{x} = \sqrt{100} = 10[/tex]

B.) 102

[tex]\sqrt{x} = \sqrt{102} = 10.099[/tex]

C.) 103

[tex]\sqrt{x} = \sqrt{103} = 10.149[/tex]

D.) 104

[tex]\sqrt{x} = \sqrt{104} = 10.198[/tex]

As we can see, when the value of x is 100, only then the outcome of the point function is a whole number.

Hence, the whole number that best approximates the value of x is 10.

Learn more about Function:

https://brainly.com/question/5245372

Answer:

Samuel get £ 26.1

Step-by-step explanation:

Data :

     Money = £ 87

     Ratio  = 3 : 7

Ratio 3 + 7 = 10

     87/10 = 8.7

Samuel has 3 ratio

  8.7 × 3  =26.1

Answer: 2100

Step-by-step explanation:

Portional

Answer:

2099.88 Rounded: 2100

Step-by-step explanation:

100/17 = 5.88

337 X 5.88 = 2099.88

Rounded: 2100

Have a good day!

Answer:

Total coins are in his collection is 35 coins

Step-by-step explanation:

In his box = 7 coins

7 coins is 20% of the collection.

Total Coins :

7 ÷ 20%

[tex] \tt7 \div \frac{20}{100} [/tex]

[tex] \tt{7 \times \frac{100}{20} }[/tex]

[tex] \tt{7 \times 5}[/tex]

35 coins

Proof :

35 × 20%

35 × 1/5

35 ÷ 5

7

Answer:

[tex] {x}^{2} - 9x + 20[/tex]

Step-by-step explanation:

[tex](x - 5)(x - 4)[/tex]

[tex]x(x - 4) - 5( x - 4)[/tex]

[tex] {x}^{2} - 4x - 5x + 20[/tex]

[tex] {x}^{2} - 9x + 20[/tex]

Answer:

12

Step-by-step explanation:

4 1/2 - 5 1/8 =5/8 divided by 7 1/2 = 120/10 which is simplified as 12

Answer:

y is 90 and x is 180

Step-by-step explanation:

hope this helps srry if its wrong ;-;

Answer:

  U = 126°

Step-by-step explanation:

Assuming the figure is a parallelogram, opposite angles are congruent, and adjacent angles are supplementary.

  V = T

  10x -6 = 8x +6 . . . . substitute for V and T

  2x = 12 . . . . . . . . . add 6-8x

  x = 6 . . . . . . . . . divide by 2

Then V = 10(6)-6 = 54, and U is ...

  U = 180° -54°

  U = 126°

Answer:

2 hours

Step-by-step explanation:

substitute m = 72 into both equations and solve for h

72 = 12h ( divide both sides by 12 )

6 = h

Takes Nancy 6 hours to cycle 72 miles

72 = 9h ( divide both sides by 9 )

8 = h

Takes Elsa 8 hours to cycle 72 miles

Elsa takes 2 hours longer than Nancy to cycle 72 miles

Answer:

2

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

substitute m = 72 into both equations and solve for h

72 = 12h ( divide both sides by 12 )

6 = h

Takes Nancy 6 hours to cycle 72 miles

72 = 9h ( divide both sides by 9 )

8 = h

Takes Elsa 8 hours to cycle 72 miles

Elsa takes 2 hours longer than Nancy to cycle 72 miles