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3 years ago

The perimeter of the rectangle below is 46 units. Find the length of side AB.

Mathematics

1 answer:

scoray [572]3 years ago

5 0

Step-by-step explanation:

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What is the prime factorization of 225 in exponent form

weqwewe [10]

The prime factorization of 225 = 3^2•5^2

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3 years ago

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A process is operating at 0.15 fraction nonconforming. We desire to catch a shift to 0.19 fraction nonconforming on the fraction

Lena [83]

Answer:

Sample size>= 743

Step-by-step explanation:

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3 years ago

An axiom in Euclidean geometry states that in space, there are at least two three four five points that do lie in the same plane

Nonamiya [84]

The answer is a space contains at least four points that do not lie in a same plane or not all in the same plane. An axiom is a statement or proposition that is observed as being established, accepted, or self-evidently true. In other words, it is any statement or mathematical statement that functions as a starting point from which other statements are logically derived. So this can be found on postulate 1 that states “a line containing at least two points; a plane contains at least three points not all in one line; and a space contains at least four points not all in the one plane.”

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3 years ago

The product of 8/9 and the sum of a number and – 4 is less than or equal to 64.

Fiesta28 [93]

Answer:

$x\leq 76$

Step-by-step explanation:

Let x = unknown number

$\implies \dfrac89 \times (x-4)\leq 64$

$\implies \dfrac{8(x-4)}{9}\leq 64$

Multiply both sides by 9:

$\implies 8(x-4)\leq 576$

Expand brackets:

$\implies 8x-32\leq 576$

Add 32 to both sides:

$\implies 8x\leq 608$

Divide both sides by 8:

$\implies x\leq 76$

6 0

2 years ago

Read 2 more answers

Suppose f(x,y,z) = x2 + y2 + z2 and W is the solid cylinder with height 7 and base radius 2 that is centered about the z-axis wi

kipiarov [429]

In cylindrical coordinates, W is the set of points

W = {(r, θ, z) : 0 ≤ r ≤ 2 and 0 ≤ θ ≤ 2π and -2 ≤ z ≤ 5}

(A) Then the integral of f(x, y, z) over W is

$\displaystyle\iiint_W(x^2+y^2+z^2)\,\mathrm dV = \int_0^{2\pi}\int_0^2\int_{-2}^5r(r^2+z^2)\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$

(B)

$\displaystyle \int_0^{2\pi}\int_0^2\int_{-2}^5r(r^2+z^2)\,\mathrm dz\,\mathrm dr\,\mathrm d\theta = 2\pi \int_0^2\int_{-2}^5(r^3+rz^2)\,\mathrm dz\,\mathrm dr \\\\\\= 2\pi \int_0^2\left(zr^3+\frac13rz^3\right)\bigg|_{z=-2}^{z=5}\,\mathrm dr \\\\\\= 2\pi \int_0^2\left(\frac{133}3r+7r^3\right)\,\mathrm dr \\\\\\= 2\pi \left(\frac{133}6r^2+\frac74r^4\right)\bigg|_{r=0}^{r=2} \\\\\\= 2\pi \left(\frac{110}3\right) = \boxed{\frac{220\pi}3}$

8 0

3 years ago