Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.

21.0 m^2
9.8 m^2
19.6 m^2
10.5 m^2

Answer:

(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴

=x⁴-16x³+96x²-256x+256

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope / gradient

c is the y intercept

y = 3x + 7

Comparing this equation with the general form above

Gradient of the line = 3

2y - 6x = 8

Divide both sides by 2

We have

y - 3x = 8

To make y the subject move 3x to the right side of the equation

That's

y = 3x + 8

Comparing with the general form above that's y = mx + c

The gradient = 3

y = 3x + 7

A(2 , y ) , B( x , 4)

Since they lie on the line we can substitute their values into the equation to find the missing points

For A(2 ,y)

We have

y = 3(2) + 7

y = 6 + 7

For B( x , 4)

4 = 3x + 7

3x = 4 - 7

3x = - 3

Divide both sides by 3

Hope this helps you

Answer:

Each book weighs 1/2 lbs

Step-by-step explanation:

Take the total weight and divide by the number of books

10 lbs/20 books

1/2 lbs per book

Each book weighs 1/2 lbs

Work Shown:

1 pound = 16 ounces

100/16 = 6.25

100 ounces = 6.25 pounds

100 ounces = 6 pounds + 0.25 pounds

-------

1 pound = 16 ounces

0.25*1 pound = 0.25*16 ounces

0.25 pounds = 4 ounces

------

100 ounces = 6 pounds + 0.25 pounds

100 ounces = 6 pounds + 4 ounces

100 ounces = 6 pounds, 4 ounces

Answer:

It's already it in it's simplest form. You can find the simplest form by dividing the fraction by two ( 4/8 for example, you can divide 4 by two, giving you 2, and divided 8 by two, giving you 4, which makes 2/4, and do it once more, giving you 1/2.

Answer:

The balloon contains 456.3 kg of helium

Step-by-step explanation:

Density=mass / volume

Volume=2600 cubic meters of helium

Density=0.1755 kilograms per cubic meters

Mass=x

Find mass, x

Density=mass / volume

Mass=Density × volume

=0.1755 * 2600

=456.3 kg

The balloon contains 456.3 kg of helium

Answer

28,800$

Step-by-step explanation:

480 x 4 = 1920 x 3 = 5760 x 5 = 28800

Answer:

r= -1/5

Step-by-step explanation:

Step 1: Remove the parentheses (5r-10= -51)

Step 2: Move the constant to the right-hand side and change the sign (5r= -51 + 50)

Step 3: Calculate the sum of -51 +50 (5r = -1)

Last Step: Divide both sides by the equation by 5 (r = -1/5)

The solution for r in the equation is -1/5

The equation given is 5(r-10)= -51

To solve this question, use the distributive property. The distribute property entails expanding the terms in the bracket. This means multiply the terms in the bracket by 5

5(r - 10)

= 5 x (r - 10)

= 5r - 50

The equation then becomes : 5r - 50 = -51

The second step is to combine similar terms. This would be done by making use of the additive property of equalities: 50 would be added to both sides of the equation

5r = -51 + 50

5r = -1

The third step is to divide both sides of the equation by 5

(5r / 5) = (-1 /5)

r = -1/5

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Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm

Answer:

Step-by-step explanation:

Circle equation:

Substitute the values to get the equation:

Answer:

(x+2.4)^2 + (y+4.8)^2 =45

Step-by-step explanation:

Answer:it’s A

Step-by-step explanation:

took the test

Answer:

A=pq/2

=4.25·4.25/2

=9.03125

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Diagonal of rhombus bisect each other.

d₁ = AC = 4.25*2 = 8.5 cm

d₂ = 8.5  {Given diagonals are equal}

Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2} \ where \ d_{1} \ and \ d_{2} \ are \ diagonals[/tex]

                            [tex]=\frac{8.5*8.5}{2}\\\\= \frac{72.25}{2}\\\\= 36.125 \ cm^{2}[/tex]

Answer:

BC = 29.4

Step-by-step explanation:

30² = 20² + BC² -2•20•BC•cos(108)

900 = 400 +BC² -12.4•BC

900 -400 = BC² -12.4•BC

BC² -12.4•BC -500 = 0

Solve the equation using Bhaskara and you'll find two possible values for BC, which are:

BC = -17 and BC = 29.4

A negative number doesn't make sense because it is a side of a triangle, so we choose BC = 29.4

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Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula:

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Insert the values:

[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]

Simplify:

[tex]\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}[/tex]

The distance between the two points is the square root of 13.

:Done

Answer: [tex]\sqrt{13}[/tex] or 3.61

Step-by-step explanation:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]

[tex]\sqrt{9+4}[/tex]

[tex]=\sqrt{13}[/tex]

Answer:

1

Step-by-step explanation:

Answer:

1/ a

Step-by-step explanation:

go to desmos graphing calculator :) yea

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Answer:

29.5 mm

Step-by-step explanation:

We are told that the average monthly rainfall for 6 months was 28.5 mm.

Thus, total for the 6 months = 28.5 × 6 = 171 mm

Now, we are told that it rained 1 mm extra each month.

So extra for the six months = 1 × 6 = 6mm

New total for 6 months = 171 + 6 = 177 mm

So, new average for 6 months = 177/6 = 29.5 mm

Answer:

80

Step-by-step explanation:

You could multiply by 2 and then divide by 3

120*2 = 240

240/3 = 80

Or you could divide by 3 and then multiply by 2

120/3 = 40

40*2 = 80

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

the answer to 420 times 12 is 5,040

Step-by-step explanation:

Answer: The answer would be 5040.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The formula for the area of a square is s², where s is the side length of the square.

If a square with a side length of 6 centimeters then we get,

S = 6

Now, Area of square

= s² = (6)² = 36

Answer:

x = 15

Step-by-step explanation:

We need to find the value of x in the equation 3x – y = 18 when y = 27.

To find the value of x, put y = 27 in the above equation.

So,

3x - 27 = 18

3x = 45

x = 15

So, the value of x is 15.

Answer:

the correct answer is x=5

====================================================

Explanation:

Focus on triangle BDH

Interior angles B and D are given to be 40 and 31 respectively. Interior angle H is unknown

For any triangle, the interior angles always add to 180

B+D+H = 180

40+31+H = 180

H+71 = 180

H = 180-71

H = 109

Interior angle H is 109 degrees for triangle BDH

The exterior angle is 180 minus this measure

exterior angle = 180 - (interior angle)

exterior angle = 180 - 109

exterior angle = 71

Note how this is the sum of interior angles B and D, so you could use the remote interior angle theorem here.

Answer:

x = 7

Step-by-step explanation:

2x + 1 = -3x + 36

2x + 3x + 1 = -3x + 3x +36

5x + 1 = 36

5x + 1 - 1 = 36 - 1

5x = 35

5x/5 = 35/5

x = 7

Answer:

first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7

Step-by-step explanation:

hope this helps

Answer:

This is true

Step-by-step explanation:

Yes when you make a radical into a power you can simplify the power, like you are saying.

Answer:

17

Step-by-step explanation:

6 x 2 = 12 so 12 + 5 = 17

Dylan would have to pay $17.

For such questions it is best to form an expression.

The parking fee has a fixed cost of $5.

It also has a cost per hour of $2.

This means that if a person spends t hours at the parking lot, they will have to pay $2 per hour for those t hours.

Expression = 2 x t = 2t

Whole expression including the fixed amount is:

5 + 2t

If Dylan parked for 6 hours therefore, he would pay:

= 5 + 2 t

= 5 + 2 x 6

= $17

Dylan would therefore have to pay $17 if he left his car for 6 hours.

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