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3 years ago

When a number is divided by 15 and the remainder is 3 which of the following can be the number

Mathematics

1 answer:

lana [24]3 years ago

7 0

The answer is probably 45, if that was an option! Hope I helped you out.

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Please help worth 25 points

wariber [46]

Answer:

h=6 feet

Step-by-step explanation:

Given: 1. The base of a rectangle is three feet longer than its height.

2.Are of the rectangle=54 square meters

Let us say the rectangle has height h and base(breadth) b.

Since, the base of the rectangle is three feet longer than the height, we have b=h+3.

Also, Area of the Rectangle= hb

therefore, 54=h(h+3)

54= h2+ 3h

h2+3h-54=0 (Subtract 54 from both the sides)

To find the value of h we have to solve the quadratic equation.

[We have the equation in the form ax2+bx+c=0, to factorise the equation-

Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.

Step2. Replace b with these numbers.

Step3. Simplify the equation]

So, h2+3h-54=0

h2+9h-6h-54=0

h(h+9)-6(h+9)=0

(h+9)(h-6)=0

Which gives-

h= -9 or h= 6

As h is the height of the rectangle, h can not be -9.

so h=6 feet

and b=h+3=9 feet

So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.

5 0

3 years ago

Consider the differential equation: dy/dx = (y-2)(x^2+1)

Klio2033 [76]

Answer:

Step-by-step explanation:

Given,

$\dfrac{dy}{dx}=(y-2)(x^2+1)$ ...(i)

Differentiating w.r. to x.

$\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)\dfrac{dy}{dx}$

From equation (1)

$\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)^2(y-2)$

Now, at the point (1,3)

$\dfrac{d^2y}{dx^2}= (3-2)(2\times 1)+ (1^2+1)^2(3-2)$

$\dfrac{d^2y}{dx^2}=6$

3 0

3 years ago

Joanna went school supply shopping. She spent $29.16 on notebooks and pencils. Notebooks cost $1.88 each and pencils cost $1.36

Sati [7]

Answer:

its c

Step-by-step explanation:

8 0

3 years ago

A square pyramid has a height of 9 units and a volume of 147 units3. If a square prism has the same base area and volume as the

Murrr4er [49]

Answer:

the correct answer is 3

Step-by-step explanation:

4 0

3 years ago

May I please have help from anyone thank you so much !

FrozenT [24]

Answer: Choice D

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

Explanation:

The formula for the surface area of a cylinder is

$SA = 2\pi*r^2 + 2\pi*r*h$

We then replace r with 10 and h with 25. Keep in mind that the diameter is 20 mm, so the radius is half that at 10 mm.

So that's how we get to

$SA = 2\pi*10^2 + 2\pi*10*25$

8 0

3 years ago

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