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3 years ago

Find the area of a rectangle with a perimeter of 12 meters and a base of 4 meters

1 answer:

7 0

Considering the perimeter (P)
$p = 2 \times b + 2 \times h$
where b is the base and h is the height, then
$12 = 2 \times 4 \times 2 \times h \\ \\ h = \frac{12 - (2 \times 4)}{2} \\ \\ h = 2$
Being the area (A)
$a = b \times h \\ \\ a = 4 \times 2 \\ \\ a = 8 {m}^{2}$

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FIND THE VOLUME AND SURFACE AREA. MEASUREMENT IN cm. π = 22/7

Digiron [165]

The volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

It is given that:

A right triangular prism with dimensions

As we know, the volume of the right triangular prism is given by:

Volume = (1/2)bhl

Here b and l are the base dimensions h is the height of the prism

From the trigonometric ratios:

h = 10sin(25) = 4.23 units

b = 10cos(25) = 9.06 units

l = 8 units

Volume = (1/2)(9.06)(4.23)(8)

Volume = 153.30 cubic units

Thus, the volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

Learn more about triangular prisms here:

brainly.com/question/16909441

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7 0

1 year ago

758 rounded to the nearest hundred is

andrew11 [14]

758 rounded to the nearest hundred would be 800 because the five would round the seven up.

6 0

3 years ago

Read 2 more answers

Solve Systems by Substitution 2x+5y=-3 x+8y=4 and 2x+y=7 x-2y=-14

ASHA 777 [7]

2x + 5y = -3 ⇒ 2x + 5y = -3
1x + 8y = 4 ⇒ 2x + 16y = 8
 -11y = -11 
 -11 -11
 y = 1
 2x + 5(1) = -3
 2x + 5 = -3
 -5 -5
 2x = -8
 2 2
 x = -4
 (x, y) = (-4, 1)

2x + 1y = 7 ⇒ 2x + 1y = 7
1x - 2y = -14 ⇒ 2x - 4y = -28
 5y = 35
 5 5
 y = 7
 2x + 7 = 7
 -7 -7
 2x = 0
 2 2
 x = 0
 (x, y) = (0, 7)

4 0

3 years ago

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

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3 years ago

Equality of fractions

Svetach [21]

Answer:

Fractions are equal when one fraction can be obtained from the other.

Step-by-step explanation:

equality means a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

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2 years ago