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3 years ago

Each square below represents one whole

Mathematics

2 answers:

expeople1 [14]3 years ago

6 0

The shaded part should be equal to 175%

If every square is one whole, or 100%, each quadrant should be 25%. Both squares combined are 200%, so one 25% shaded quadrant missing would result in 175% of the two squares shaded... hope this helps.

ad-work [718]3 years ago

5 0

Answer:

hello…

the colored part is 20%

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What are two equivalent ratios of 12:7

kozerog [31]

24:14 and 36:21 are both equivalent ratios to 12:7

4 0

2 years ago

Read 2 more answers

the height h(t) of a trianle is increasing at 2.5 cm/min, while it's area A(t) is also increasing at 4.7 cm2/min. at what rate i

nekit [7.7K]

Answer:

The base of the triangle decreases at a rate of 2.262 centimeters per minute.

Step-by-step explanation:

From Geometry we understand that area of triangle is determined by the following expression:

$A = \frac{1}{2}\cdot b\cdot h$ (Eq. 1)

Where:

$A$ - Area of the triangle, measured in square centimeters.

$b$ - Base of the triangle, measured in centimeters.

$h$ - Height of the triangle, measured in centimeters.

By Differential Calculus we deduce an expression for the rate of change of the area in time:

$\frac{dA}{dt} = \frac{1}{2}\cdot \frac{db}{dt}\cdot h + \frac{1}{2}\cdot b \cdot \frac{dh}{dt}$ (Eq. 2)

Where:

$\frac{dA}{dt}$ - Rate of change of area in time, measured in square centimeters per minute.

$\frac{db}{dt}$ - Rate of change of base in time, measured in centimeters per minute.

$\frac{dh}{dt}$ - Rate of change of height in time, measured in centimeters per minute.

Now we clear the rate of change of base in time within (Eq, 2):

$\frac{1}{2}\cdot\frac{db}{dt}\cdot h = \frac{dA}{dt}-\frac{1}{2}\cdot b\cdot \frac{dh}{dt}$

$\frac{db}{dt} = \frac{2}{h}\cdot \frac{dA}{dt} -\frac{b}{h}\cdot \frac{dh}{dt}$ (Eq. 3)

The base of the triangle can be found clearing respective variable within (Eq. 1):

$b = \frac{2\cdot A}{h}$

If we know that $A = 130\,cm^{2}$ , $h = 15\,cm$ , $\frac{dh}{dt} = 2.5\,\frac{cm}{min}$ and $\frac{dA}{dt} = 4.7\,\frac{cm^{2}}{min}$ , the rate of change of the base of the triangle in time is:

$b = \frac{2\cdot (130\,cm^{2})}{15\,cm}$

$b = 17.333\,cm$

$\frac{db}{dt} = \left(\frac{2}{15\,cm}\right)\cdot \left(4.7\,\frac{cm^{2}}{min} \right) -\left(\frac{17.333\,cm}{15\,cm} \right)\cdot \left(2.5\,\frac{cm}{min} \right)$

$\frac{db}{dt} = -2.262\,\frac{cm}{min}$

The base of the triangle decreases at a rate of 2.262 centimeters per minute.

6 0

2 years ago

4. Find the value of k, if x = 2, y=1 is a solution of the equation 2x + 3y=k.

icang [17]

Answer:

k=7

Step-by-step explanation:

first, plug in the given values

2x+3y=k --> 2(2)+3(1)=k

-->4+3=k

-->7=k

k=7

3 0

2 years ago

The slope-intercept from of the equation of a line that passes through (-2,-13) is y = 5x – 3. What is the point-slope from of t

lisov135 [29]

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

given y = 5x - 3 with m = 5 and (a, b) = (- 2, - 13), then

y +13 = 5(x + 2) ← in point- slope form

6 0

3 years ago

Explain how to solve 5x2-3x=25 by completing the square. What are the solutions

Vilka [71]

5x2-3x=25

Divide each term by 5:

x^2 - 3/5x = 5

Make a trinomial square of the left side by taking the square of half of the coefficient of x.

The coefficient of x is -3, so the square would be (-3/10)^2

Add that to both sides of the equation.

Now you have:

x^2 - 3/5x + (-3/10)^2 = 5 + (-3/10)^2

Simplify both sides:

x^2 -3/5x +9/100 = 509/100

Factor the trinomial:

(x-3/10)^2 = 509/100

Solve for x, , take the square root of both sides:

x-3/10 = +/-√509 / 100

Simplify the right side:

x-3/10 = +/-√509/10

Add 3/10 to both sides:

X = +/-√509/10 + 3/10 ( this is the exact form)

You can then find the decimal answer if needed.

4 0

3 years ago

Each square below represents one whole​

Each square below represents one whole