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Answer:

15m

Step-by-step explanation:

The pole is perpendicular to the floor and the angle of elevation is 45. Thus, it forms a right-angled, isoceles triangle. So the distance from point P to the bottom of the pole is equal to the height of the pole, which is 15m

Answer:

Step-by-step explanation:

rt=d

rt+rt=900

80t+100t=900

180t=900

18t=90

2t=10

t=5

5 hours

80*5+100*5=900

Answer:

B.) -16

Step-by-step explanation:

-10=-2+1/2d

-8=1/2d

d=-8/1/2

d=-16

So B

The fair price for the house is $205.88.

The correct answer is option A.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the fair price for the house, we can use the equation of the line of best fit provided:

y = 0.074x + 50.48

where y represents the price of the house and x represents the square footage of the house.

We can substitute 2100 for x to find the price of the house.

y = 0.074(2100) + 50.48

y = 155.4 + 50.48

y = 205.88

Therefore,

The fair price for the house is $205.88.

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Answer:

x = -14

Step-by-step explanation:

-3x - 10 = 32

Add 10 on both sides

-3x = 42

divide both sides by -3 to isolate x

x = 42/-3

x = -14

Answer: -14

Step-by-step explanation:

-3x - 10 = 32

-3x = 32 + 10

x = -42/3 = -14

Step-by-step explanation:

1.Draw a triangle

2. Measure one of the sides of the triangle

3. Place a point at the midpoint of one of the sides of the triangle.

4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.

5. Repeat steps 2-4 for the remaining two sides of the triangle.

Answer:

Seems like a personal issue

Step-by-step explanation:

Hint: Use your Brain!

Answer:

51 = A

Step-by-step explanation:

Using the law of sines

sin 95        sin A

------------- = -----------

9                  7

Using cross products

7 sin 95 = 9 sin A

Divide each side by 9

7/9 sin 95 = sin A

Take the inverse sin of each side

sin ^-1 ( 7/9 sin 95) = A

50.78854367= A

To the nearest degree

51 = A

Answer:

B. (2,5)

Step-by-step explanation:

Given

Points:  (6,3), (-2,7)

Required

Midpoint

Midpoint is calculated as follows:

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where

[tex](x_1,y_1) = (6,3)[/tex]

[tex](x_2,y_2) = (-2,7)[/tex]

So,

[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]

By substituting these values in the given formula

[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]

[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]

[tex](x,y) = (2,5)[/tex]

Hence, the midpoint of the line segment is (2,5)

Answer:

Step-by-step explanation:

8 -x = 13 - 2x

x + 8 = 13

x = 5

y = 8 - 5

y = 3

(5, 3)

Answer:

You should use desmos graphing calculator. It really helps

Step-by-step explanation:

9514 1404 393

Answer:

  3

Step-by-step explanation:

The image of line XY is 9 units after dilation by a factor of 3, so the original length of XY is 9/3 = 3.

Answer:

short answer middle picture :)

Step-by-step explanation:

Answer:

On average, the slide drops 14 feet for every 3 feet of horizontal distance.

On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

It is given in the question that Interprets the average rate of change of -14/3 that you found previously.

On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

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Answer:

41.47

Step-by-step explanation:

So to find the price after the discount, multiply 48 by 0.8

38.4

To find the amount after tax, multiply by 1.08

41.472 ≈ 41.47

Answer:

$41.47

Step-by-step explanation:

Original price: $48.00

Discount: 20%

20% of $48 = 20% * $48 = 0.20 * $48 = $9.60

Price after 20% discount = $48.00 - $9.60 = $38.40

Tax: 8%

8% of $38.40 = 0.08 * $38.40 = $3.07

Price after tax: $38.40 + $3.07 = $41.47

Answer: $41.47

Answer:

8 days

Step-by-step explanation:

if it takes 4/5 of a day to complete 1/10 of the order of sneakers, you are trying to determine how long it will take to get to 10/10.

so first we can determine what we have to multiply 1 by to get 10.

the answer is 10, so we can multiple by 10 to determine the amount of days it took:

4/5 x 10 and 1/10 x 10

therefore: 4/5 x 10 = 8

meaning, it would take 8 days to complete an entire order of sneakers.

Answer:

2/13

Step-by-step explanation:

So firstly, know that there are 13 cards in the deck (3 + 6 + 4).

Therefore, the probability of drawing a green is 4/13.

After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.

To find compound probability, multiply the probabilities of the two separate events happening together:

4/13 * 6/12

= 2/13

Hope this helps! Please contact me if you have any questions :)

Answer:

This report is not reliable because:

A real increase could be proved with the sample of all the students who attended the study session, due to mustn't be many students (I believe the students regularly doesn't like the extra study sessions), where wouldn't just have honors students, but the regular students too, who probably would actually need increasing their math scores.

Step-by-step explanation:

To identify if a students population actually increased their math tests scores by a particular reason, the researcher should take a sample from the regular or bad students that attended to the extra session, or at least an equal sample with the same amount of good students and regular students ( or bad students), in this form he would compare the results in each individual and identify if it actually depended on the extra study sessions or from other reasons how study time in the house, learning disorders or others.

Answer: 155º I think

Answer:

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Step-by-step explanation:

Let the total no. of adults who saw the move be x

Let the total no. of child who saw the move be y

Given that the total number of adults (a) and children (c) who saw a movie was 35

thus. x + y = 35

cost of ticket for 1 adult = $6

cost of ticket for 1*x  adult = $6*x = $6x

cost of ticket for x  adult = $6x

cost of ticket for 1 child = $1

cost of ticket for 1*y  child = $1*y = $y

cost of ticket for y  child =  $y

Total cost for  x adult and y child = $(6x+y)   _______(2)

Given that he total money collected was $70

Thus, we have two equations

6x+y = 70  -------(1)

x + y = 35

y = 35 - x  (using this value of y in equation 1 we have)

6x + 35 - x = 70

=> 5x = 70 -35 = 35

=> x = 35/5 = 7

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Hey!!

5x(2x-3y)

=5x*2x- 5x*3y

= 10x^2-15xy

So the right answer is of option A

hope it helps.....

Answer:

the answer is 10x^2-15xy

Step-by-step explanation:

i cant make it any simpiller

Answer: 2

Step-by-step explanation:

Answer:

The Radius of the circle of center (-4, 3) is 2.

Radius = 2

Step-by-step explanation:

This is the general form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

Let's convert this to standard form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

[tex]x^2+y^2+8x-6y=-21[/tex]

Group/organize [tex]x[/tex] and [tex]y[/tex] terms:

[tex]x^2+8x+y^2-6y=-21[/tex]

[tex](x^2+8x)+(y^2-6y)=-21[/tex]

Now, let's begin the process to complete the square in both parentheses.

[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]

[tex](x+4)^2+(y-3)^2=4[/tex]

Answer:

top right corner

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)

The (x-y) cancel out so the fraction becomes (x+y)

The two (x+y) also cancel out so it becomes 0

Answer:

0

Step-by-step explanation:

[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]

Hope this helps!

Answer:

Option C. 90.0 g glucose per 500 cm3 water

Step-by-step explanation:

1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.

The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.

Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.

For option B:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol

Mass of C6H12O6 = 10g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 10/180 = 0.056 mole.

Volume of water = 10cm³ = 10/1000 = 0.01dm³

Concentration = mole /Volume

Concentration = 0.056/0.01 = 5.6mol/dm³

Option B is wrong

For option C:

We shall determine the number of mole of C6H12O6, followed by the concentration.

This is illustrated below:

Molar mass of C6H12O6 = 180g/mol

Mass of C6H12O6 = 90g

Mole = Mass /Molar Mass

Mole of C6H12O6 = 90/180 = 0.5mole

Volume of water = 10cm³ = 500/1000 = 0.5dm³

Concentration = mole /Volume

Concentration = 0.5/0.5 = 1mol/dm³

Option C is correct.

For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.

From the above illustrations, option C is the correct answer.

Answer:

35 adult shirts were sold

Step-by-step explanation:

10y+15a=2375

y+a=220

y=220-a

10(220-a)+15a=2375

2200-10a+15a=2375

2200+5a=2375

5a=175

a=35

35 adult shirts were sold.

Answer:

W = 0.125

X = 1.75

Y = 1.875

Step-by-step explanation:

The geometric sequence looks like of first term 1 , and of common ratio (r=0.5).

Therefore each new term is found by multiplying the previous one by 0.5:

A1 = 1

A2 = 0.5

A3 = 0.25

A4 = 0.125 = W

A5 = 0.0625

And the partial sums are the additions of the terms until the last one considered:

S1 = 1

S2 = 1.5

S3 = 1.75  = X

S4 = 1.875  = Y

S5 = 1.9375

therefore,

W = 0.125

X = 1.75

Y = 1.875

Answer:

The next answers are approaching a number and 2

Step-by-step explanation:

Answer:

(B)Mr Smith drove 3 miles per day  more than Ms. Johnson.

(D) A reasonable prediction is that both  salespeople will drive about 110

miles each day.

(F)If both salespeople work 250 days  this year, they will drive about

27,500 miles for this year.

Step-by-step explanation:

Given the miles driven by the two salesman.

Mr Smith

128 , 150 , 118 , 85 , 166 and 25

[tex]\text{Average miles per day}=\dfrac{128+150+118+85+166+25}{6}=\dfrac{672}{6}\\=112$ miles per day[/tex]

Ms. Johnson

115,97,86,48,181 and 127

[tex]\text{Average miles per day}=\dfrac{115+97+86+48+181+127}{6}=\dfrac{654}{6}\\=109$ miles per day[/tex]

Therefore:

(B)Mr Smith drove 3 miles per day  more than Ms. Johnson.

(D) A reasonable prediction is that both  salespeople will drive about 110

miles each day.

[tex]112 \approx 110$ miles per day\\109 \approx 110$ miles per day[/tex]

(F)If both salespeople work 250 days  this year, they will drive about

27,500 miles for this year.

110 X 250=27,500 miles

Answer:

C (Third answer)

Step-by-step explanation: