Use similar triangles to calculate the height, h cm, of triangle ABE.

Answer:

398 ft

Step-by-step explanation:

Answer:

175% of 4 is 7

Step-by-step explanation:

i hope this helps

Answer:

0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.

Step-by-step explanation:

Probability:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

The probability of two independent events is the multiplication of their separate probabilities.

Green shirt:

3 green shirts, out of 3 + 3 + 2 = 8 shirts.

So 3/8 probability of green shirts.

Cargo pants:

4 cargo pants, our of 4 + 3 = 7.

So 4/7 probability of cargo shirts.

Green shirt and cargo pants:

[tex]p = \frac{3}{8} \times {4}{7} = \frac{12}{56} = \frac{3}{14} = 0.2143[/tex]

0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.

Answer:

x=-7

Step-by-step explanation:

[tex]x = 21 \div - 3 \\ x = - 7[/tex]

Answer: -7

Step-by-step explanation:

Move all terms that don't contain

x

x

to the right side and solve

Answer:

$6

Step-by-step explanation:

there was 11 total and 5 went into the soda and 6 went into the pizza so it's 6.

Answer:512

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

8*8*8=512

done

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Answer: y = 5/2x - 4

Step-by-step explanation:

the equation is y = ax + b (a ≠ 0)

because the slope of the line is 5/2 => a = 5/2

               the line passes through (0; -4) => -4 = b

=> the equation is y = 5/2.x - 4

Answer:

The answer is below

Step-by-step explanation:

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16

Solution:

Given that the ellipse has the equation: 4x² + 16y² = 16

let us make x the subject of the formula, hence:

4x² + 16y² = 16

4x² = 16 - 16y²

Dividing through by 4:

x² = (16 - 16y²)/4

x² = 4 - 4y²

Taking square root of both sides:

[tex]x=\sqrt{4-4y^2 }\\[/tex]

The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.

The area of a rectangle inscribed inside an ellipse is given by:

Area (A) = 4xy

A = 4xy

[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]

Therefore the length = 2x = 2√2, the width = 2y = 2/√2

Answer:

the first easy assignment for aii the students

the first day of school is go in to be in a while

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2(3/4)-1/2=

The 2 cancels out the 4 making it 3/2.

3/2-1/2=2/2

=1

Answer:

Fraction of cars 4/15

Total number of vehicles 15

4 is the numerator and 15 is the denominator

Step-by-step explanation:

Answer:

Step-by-step explanation:

After buying the ticket, the amount with him = 50 - 7 = 43

p ≤ 50 - 7

p ≤ 43

Answer:

p≤ 43

Step-by-step explanation:

50-7=43

so now Mr.smith will have $43 to spend

p is less than or equal to 43

Answer:

8/15 and 3/10

Answer:

The answer is -77

Step-by-step explanation:

Hope this helped! Have a great day!

Answer:

7

Step-by-step explanation:

F(x) =2x+1

f(x) =6+1

You're given 3 points (x, y) on the circle with equation

x ² + y ² + Dx + Ey + F = 0

and you have to use these known points on set up 3 equations involving D, E, and F.

For the point (3, -1), this means when x = 3, y = -1, so

3² + (-1)² + 3D - E + F = 0

→   3D + (-1)E + 1F = -10

The next point (-2, 4) gives

(-2)² + 4² - 2D + 4E + F = 0

→   (-2)D + 4E + 1F = -20

And from the last point (6, 8),

6² + 8² + 6D + 8E + F = 0

→   6D + 8E + 1F = -100

Step-by-step explanation:

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Answer:

Parallel means they have the same slope so, y=3x-8

Answer:

Percent of increase in weight = 33.33% Approx.

Step-by-step explanation:

Given:

Old weight = 60 pound

New weight = 80 pound

Find:

Percent of increase in weight

Computation:

Percent of increase in weight = [(New weight - old weight)/Old weight]100

Percent of increase in weight = [(80 - 60)/60]100

Percent of increase in weight = [(20)/60]100

Percent of increase in weight = 33.33% Approx.

Answer:

$492 per year

Step-by-step explanation:

The first step we take towards solving this question is to add all the numbers we were given as money spent(excluding that of the month)

$20 + $10 + $18 + $3 = $41 per month

This means that a total of $41 was spent per month.

Going further, since we're told it's 12 months, we then multiply it by 12, and thus, we have

$41 * 12 = $492 per year

Therefore, the total money spent is $492 per 12 months, or per year

Answer:

100

i hope it helps

Answer:

100

Step-by-step explanation:

Answer:

You need two equations: one for solution amounts and one for alcohol amounts.

Step-by-step explanation:

90 = X + Y

45 = (0.6)/X + (0.3)Y

Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.

From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get

X = 30 liters and Y = 60 liters.

Answer:

$297

Step-by-step explanation:

220 increase 35% =

220 × (1 + 35%) = 220 × (1 + 0.35) = 297

5 is the answer

here we have hypoteaus and base

so by using pythagoreaus theorem

p^2 = h^2 - b^2

p^2 = 13^2 - 12^2

p^2 = 169 - 144

p^2 = 25

p = root under 25

p = 5

Answer:

5 cm

Step-by-step explanation:

A^2+B^2=C^2

12^2+B^2=13^2

144+B^2=169 (You have to subtract 144 from both sides to get B^2 by its self)

-144       = -144

B^2= 25 (To get rid of the square you have to find the square root)

Square root of 25 = 5cm

Answer: 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

25÷5=5

5x3=15

15 oatmeal cookies

Answer:

B.

Step-by-step explanation: