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Which equation is true for X = 1.8

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?

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Solution:

The triangle FGH should look like that in the attachment.

Tangent of angle G = opposite side/adjacent side

= FH/HG

= 55/48

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:

Step-by-step explanation:

Surface Area = 4πr²

Volume = 4/3 πr³

VOLUME

4/3 *6³ *π=

4/3 *216π

216/3 = 72*4 = 288π

SURFACE AREA

4*π*6²=

4*36π=

144π

Overall the answer should be C.

Answer:

Circumference of circle = 18π inches

Step-by-step explanation:

Given the following data;

Area of circle = 81π in²

To find the circumference;

First of all, we would find the radius of the circle using the area of circle formula.

Area of circle = πr²

Substituting into the formula, we have:

81π = πr²

Dividing both sides by π, we have;

81 = r²

Taking the square root of both sides, we have;

r = 9 inches

Now, to find the circumference of the circle;

Circumference of circle = 2πr

Circumference of circle = 2*π*9

Circumference of circle = 18π inches.

Answer:

210in^3

Step-by-step explanation:

Given data

Dimension

Length= 5in

Width= 6in

Height= 7in

The expression for the volume of a rectangle is given as

Volume= L*W*H

Substitute

Volume= 5*6*7

Volume= 210in^3

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:

[tex]5 - 4x = - 7[/tex]

Step-by-step explanation:

Let the missing variable be x then yiu will get the answer above

Answer:

3

Step-by-step explanation:

5 - 4x = -7

add 4x to each side of the equation:

5 = 4x - 7

add 7 to each side:

12 = 4x

divide both sides by 4:

x = 3

proof:

5 = 4(3) - 7

5 = 12 - 7

5 = 5

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:

There are many ways to interpret if whether or not a system of equations has solutions or not. Here is one way that is most ideal for most, if not, all equations: using graphs.

Answer:

6/10

Step-by-step explanation:

Answer:

It is B 8/10

Step-by-step explanation:

Answer:

BC= 2√5

CD= 2√10

DE= 2√5

BE= 2√10

slope of BC = 2

slope of CD = 1/3

slope of DE = 2

slope of BE = 1/3

Step-by-step explanation:

formula for distance = √(x2-x1)²+(y2-y1)²

formula for slope = (y2-y1)/(x2-x1)

Answer:

[tex]18c - 30d + 36[/tex]

Step-by-step explanation:

Given

[tex]6(3c - 5d + 6)[/tex]

Required

Expand

[tex]6(3c - 5d + 6)[/tex]

Open bracket

[tex]6(3c - 5d + 6) = 6*3c - 6*5d + 6*6[/tex]

[tex]6(3c - 5d + 6) = 18c - 30d + 36[/tex]

So, the result of the expression is:

[tex]18c - 30d + 36[/tex]

Answer:

1 hour

Step-by-step explanation:

c= 20d

here, c=$20

$20=20d

or, d= 1 hr

Answer:

Step-by-step explanation:

Answer:

$548.9

Step-by-step explanation:

$499 x (1+10%) = $ 548.9

Answer:

0

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:

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:

The answer should be B

Answer:C Because there the same sides

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Answer: 659.7 yd^2

I hope this helped!

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Answer: 5 min

Step-by-step explanation:

Given

Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]

Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]

then  Mikaela speed is [tex]v_m=50+x[/tex]

the difference in the finishing time is 1 minute i.e.

[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]

Time taken by Yohanne is

[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]

Answer:

15 pounds because 30/2 is 15

Answer:

it might be positive 9 because -5+14=9

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

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

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:

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