1. If X+Y=7 and xy = 10 , then x3+ y3​

Answer:

the third one

Step-by-step explanation:

slope intercept form is y = mx + b

where m = slope

for the third one m = 3

therefore the third one is the correct answer

Question:

In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?

___________________________________________________

Solution:

The triangle FGH should look like that in the attachment.

Tangent of angle G = opposite side/adjacent side

= FH/HG

= 55/48

Based on the test scores of the students, Cindy's z-score on the science test is 2.2

We start by calculating the mean of the scores using:

Mean =Sum/Count

So, we have:

Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10

Mean = 84

Using a statistical calculator, the standard deviation is:

Standard deviation = 7.35

The z-score is then calculated using:

z = (x - mean)/standard deviation

Cindy's score is 100.

So, we have:

z = (100 - 84)/7.35

Evaluate

z = 2.2

Hence, Cindy's z-score on the science test is 2.2

Read more about z-scores at:

https://brainly.com/question/25638875

#SPJ2

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                              y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8)    ⇒   x₁ = -2,  y₁ = 8

Therefore,  the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃                   {multiply both sides by 3}

3y - 24 = x + 2                    {subtract x from both sides}

-x + 3y - 24 = 2                     {add 24 to both sides}

-x + 3y = 26

Step-by-step explanation:

slop -3

(x ,y) point that throgh the x,y axis

(0,2), (1,-1), (2, -4),( -1, 5), ( -2, 8) etc you can make the graph by connect the co ordinat point

Answer:

the first one  

Step-by-step explanation:

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

Answer:

9

Step-by-step explanation:

If PQ || to BC

Then by BASIC PROPORTIONALITY THEOREM:

[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]

Answer:

2. 10 + 5 x 2                    $20

3. 10 + 5 x 3                    $25

4. 10 + 5 x 4                    $30

Hope that helps!

Step-by-step explanation:

Answer:

2) 10+5x2= 20

3) 10+5x3= 25

4) 10+5x4= 30

Step-by-step explanation:

just add 5 every time

Answer:

1 2/3

Step-by-step explanation:

7 1/2x2/9

The required number of tiles will be 34 covering the length of the entryway.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.

We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.

According to the given question, the required solution would be as:

So the number of tiles covering the length of the entryway will be

⇒ 7 1/2 ÷ (2/9)

⇒ 15/2 ÷ (2/9)

⇒ 15/2 / (2/9)

Reciprocal the term in the denominator

⇒ (15/2) x (9/2)

Apply the multiplication operation,

⇒ 135/4

Apply the division operation,

⇒ 34

Thus, the required number of tiles will be 34 covering the length of the entryway.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ5

Answer:

Step-by-step explanation:

Answer:

Rumble charters

Step-by-step explanation:

OK bus line:

55 +3.50(25)

55+87.5

=142.50

Rumble charters:

75+2.25(25)

75+56.25

=131.25

From looking at the steps we could tell that Rumble charters bus line would be cheaper.

its the second one

Step-by-step explanation:

1. 3.50×25+55=142.5

2. 2.25×25+75=131.25

Answer:

The variable is t

t represent the cost of movie tickets

Step-by-step explanation:

Given:

Total cost = 7t + 4.50

The variable is t

Michael + 6 friends = 7 people

4.50 represent the cost of popcorn

t represent the cost of movie tickets

For instance,

If the cost of a movie tickets is $2

Then,

t = 2

Total cost = 7t + 4.50

= 7(2) + 4.50

= 14 + 4.50

= 18.50

Total cost = $18.50

Answer:

Row 1

Step-by-step explanation:

If you divide the number of oranges in each row by their number of boxes, you always get 13 oranges per box.

(156/12 = 13)

(130/10 = 13)

(91/7 = 13)

(65/5 = 13)

But, in Row 1, he made a mistake: 13/2 = 6.5 The mistake here is that Row 1's "number of boxes" should be 1, not 2, to make this eqation true. If we did this, then we will get 13 as our "number of oranges" instead of 6.5, becuase the equation will now be 13/1 = 13 and his table will be correct.

Row 1 has the mistake.

Answer:

80°+65°+2x+3x=360°(sum of quadrilateral is 360)

145°+5x=360°

5x=360°-145°

5X=215°

X=215°/5°

X=43°

The required value is [tex]x=43[/tex]

Given angles are,

[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]

As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].

Then we have the relation,

[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]

So, the value of the x is 43.

Find out more information about the topic:https://brainly.com/question/8565742

Answer:C Because there the same sides

Answer:

7.) c

8.) 5.9

9.) 8.78

10.) 8.778

if im wrong let me know

Step-by-step explanation:

Answer:

1 hour

Step-by-step explanation:

c= 20d

here, c=$20

$20=20d

or, d= 1 hr

Answer:

15 pounds because 30/2 is 15

Answer:

0

Step-by-step explanation:

Answer:

[tex]180 - 39 = 141[/tex]

141° is the answer

Answer:

Frx8txutxitxigxtix7fv7t8citcti

Answer:

all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer

Answer:

6. 2 2/5

7. 66/145

8. 1 1/5

Step-by-step explanation:

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

Hope this helps

Answer:

10/10

Step-by-step explanation:

Ez..........................................................

Answer:

8 yards

Step-by-step explanation:

/\

/ \

/ \

----------

/ and \ = 8

_ = 10