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3 years ago

What is the product of 0.2 and 3.15

Mathematics

2 answers:

Aneli [31]3 years ago

4 0

The answer is 0.63.

Dafna1 [17]3 years ago

4 0

The " product " means multiply
0.2 x 3.15 = 0.63

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8% as a fraction in simplest form

masha68 [24]

Answer: 2/25

Step-by-step explanation:

8% means 8/100

To reduce to the simplest fraction, divide through with a common factor of 4

Divide numerator by 4 = 2

Divide denominator by 4 = 25

Therefore, 8% = 2/25

I hope this helps.

3 0

3 years ago

Mickey draws two distinct intersecting lines, p and q. Which conclusions must be true? Select three that apply.

timofeeve [1]

Hey there!

D is the answer.

I was thinking it might be B but no one said the lines crossed each other.

Hope this helps, Jesus loves you!

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3 years ago

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At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not

Nikitich [7]

If $f(x, y, z) = c$ represent a family of surfaces for different values of the constant $c$ . The gradient of the function $f$ defined as $\nabla f$ is a vector normal to the surface $f(x, y, z) = c$ .

Given the paraboloid

$y = x^2 + z^2$ .

We can rewrite it as a scalar value function f as follows:

$f(x,y,z)=x^2-y+z^2=0$

The normal to the paraboloid at any point is given by:

$\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\ \\ =2xi-j+2zk$

Also, the normal to the given plane $3x + 2y + 7z = 2$ is given by:

$3i+2j+7k$

Equating the two normal vectors, we have:

$2x=3\Rightarrow x= \frac{3}{2} \\ \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}$

Since, -1 = 2 is not possible, therefore there exist no such point on the paraboloid $y = x^2 + z^2$ such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2.

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3 years ago

Work out the surface area of this solid prism.

alexandr1967 [171]

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

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3 years ago

The range of y=√x-5-1 is

Lady_Fox [76]

Answer:

[-1, ∞ )

Step-by-step explanation:

The use of parentheses is essential here. I am assuming that you meant:

y=√(x-5) - 1

Note that √(x-5) has the range [0, ∞ ). The domain is [5, ∞ ).

Thus, y=√(x-5) - 1 has the range [-1, ∞ )

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3 years ago

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