Answer:
45
Step-by-step explanation:
Hope this helps.
The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.
<h3>What is the quotient?</h3>
Quotient is the resultant number which is obtained by dividing a number with another. Let a number <em>a</em> is divided by number b. Then the quotient of these two number will be,

Here, (a, b) are the real numbers.
The given division expression is,

Let the quotient of this division problem is f(x). Thus,

Factor the numerator expression as,

Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.
Learn more about the quotient here;
brainly.com/question/673545
Answer:

Step-by-step explanation:
Given



Required
Determine the volume
Volume is calculated as:

Substitute values for Length, Width and Height


<em>Hence, the volume of the box is </em>
<em></em>
Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...
... 30-60-90: 1 : √3 : 2
... 45-45-90: 1 : 1 : √2
The long side of ΔMDX is 10√3, so the other two sides are
... MX = MD(√3/2) = 15
... DX = MD(1/2) = 5√3
The short side of ΔMNX is MX = 15, so the other two sides are
... NX = MX(1) = 15
... MN = MX(√2) = 15√2
Then the perimeter of ΔDMN is ...
... P = DM + MN + NX + XD
... P = 10√3 +15√2 + 15 + 5√3
... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN