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3 years ago

BRAINLIEST FOR BEST ANSWER ** What is the degree number of Z?

Mathematics

2 answers:

antoniya [11.8K]3 years ago

8 0

Step-by-step explanation:

I'm pretty sure the answer is D) 147°

irinina [24]3 years ago

4 0

Answer:

the answer is D. 147 degrees

Step-by-step explanation:

114+33=147

check answer by

180-147=33

33+33+114=180

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A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f

MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

$Y + 2X = 220$

$Y = 220 - 2X$

Area of a rectangle is determined by multiplying the length of perpendicular sides:

$Area = X*Y$

$Area = X(220 - 2X)$

$Area = 220X - 2X^{2}$

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

$f(a) = a^{b}$

$f'(a) = ba^{b-1}$

Using the above concepts to differentiate Area and calculate X will give:

$Area = 220X - 2X^{2}$

$Area' = 220 - 4X = 0$

$X = 55$

Calculating Y:

$Y = 220 - 2X$

$Y = 220 - 2(55)$

$Y = 110$

Calculating Area:

$Area = X*Y$

$Area = 55*110$

$Area = 6050\sqfeet$

8 0

2 years ago

Jenny’s favorite store pays $45 for a new type of spring dress. The store’s percent of markup is 75%. After the markup, how much

nydimaria [60]

Answer:

78.75

Step-by-step explanation:

75% of 45 is 33.75

45+33.75 = 78.75

6 0

3 years ago

Find the general solution of the given differential equation. x dy dx − y = x2 sin(x) y(x) = Correct: Your answer is correct. Gi

trasher [3.6K]

Divide both sides by $x^2$ - note that this means we can't have $x=0$ :

$x\dfrac{\mathrm dy}{\mathrm dx}-y=x^2\sin x$

$\dfrac1x\dfrac{\mathrm dy}{\mathrm dx}-\dfrac1{x^2}y=\sin x$

Then the left side reduces to the derivative of a product,

$\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1xy\right]=\sin x$

$\dfrac1xy=\displaystyle\sin x\,\mathrm dx=\cos x+C$

$y=x\cos x+Cx$

This solution is continuous everywhere, but accounting for the singular point $x=0$ , the largest interval over which it is defined would be $(0,\infty)$ or $(-\infty,0)$ .