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3 years ago

The dimensions of a rectangle are 3 1/5cm by 5 5/6cm. What is the area of the rectangle?

1 answer:

5 0

Answer: C. 18 2/3cm

Explanation:

Area of rectangle = length x width

After you set up the fractions:

96/30 x 175/30
= 16800/900
= 18.666e
= 18 2/3

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The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

3 0

4 years ago

Read 2 more answers

Alyssa is factoring the following expression p∆2-8p-9. She said the answer is (p-1) (p +9). Is she correct? If not, explain her

Lesechka [4]

Answer:

Step-by-step explanation:

p^2-8p-9

factor out the trinomial

(p-9)(p+1)

Therefore, she's incorrect. Because (p-1)(p+9)=p^2-p+9p-9=p^2+8p-9 and that's different from p^2-8p-9.

5 0

3 years ago

PLEASE HELP!!!! IMA DESPRATE!!!!!!!!Find the second term in the sequence defined by an = −5(n2 + 1n).

Dmitrij [34]

The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20

<h3>How to find the nth term of a sequence?</h3>

We are given the formula for a sequence as;

aₙ = -5(n² + 1n)

Where n is the position of the term.

Now, for the first term, we will have;

a₁ = -5(1² + 1(1))

a₁ = -10

The second term of the sequence is;

a₂ = -5(2² + 1(2))

a₂ = -20

Read more about Sequence at; brainly.com/question/6561461

#SPJ1

5 0

3 years ago

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

zhuklara [117]

Answer:

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

Step-by-step explanation:

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

7 0

3 years ago

GEOMETRY. I will give brainliest

lubasha [3.4K]

Given:

A figure of a circle. A secant and tangent of the given circle.

To find:

The correct equation.

Solution:

According the intersecting tangent secant theorem, the square of tangent is equal to the property of external segment of secant and the measure of the secant.

Using intersecting tangent secant theorem, we get

$6^2=x(x+5)$

It can be written as

$x(x+5)=6^2$

The required equation is $x(x+5)=6^2$ .

Therefore, the correct option is B.

8 0

3 years ago