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3 years ago

How can I find the surface area & the correct answer

Mathematics

1 answer:

Serga [27]3 years ago

6 0

Area of rectangle is base times height
area of triangle is 1/2 times base times height

this shape has 3 rectangular sides and 2 triangular sides

2 sides and 1 bottom
2×(6×5)+1×(6×8) = 108

front and back triangular sides
2×(1/2)×(3×8) = 24

total is 132 cm^2, C

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For 25 points

tigry1 [53]

The required domain of the inverse function is x ≤ 0. Hence option D is correct.

f(x) = -x^2

<h3>What are functions?</h3>

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

Inverse of function f(x) = -x^2
y = -x^2
x = √-y
Now,
Inverse function of f(x) is √-x
Its domain is define as less than or equal to zero.

Thus, the required domain of the inverse function is x ≤ 0.

Learn more about function here:

brainly.com/question/21145944

#SPJ1

6 0

2 years ago

What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?

LuckyWell [14K]

Answer:

The length of the pendulum is 14.13 meters.

Step-by-step explanation:

The length of a pendulum is given by the formula, $T = 2\pi \sqrt{\frac{L}{g} }$ , where T is the times period and L is the length of the pendulum.

Now, given that T = 2.4π seconds.

So, from the above equation, we get,

$2.4\pi = 2\pi \sqrt{\frac{L}{g} }$

⇒ $\sqrt{\frac{L}{g}} = 1.2$

⇒ $\frac{L}{g} = 1.44$ {We have the value of g as 9.81 m/sec²}

⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)

Therefore, the length of the pendulum is 14.13 meters. (Answer)

3 0

4 years ago

Insert geometric means in each geometric sequence.

Digiron [165]

Answer:

$\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}$

$\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}$

$81, \underline{27, 9, 3, 1},\dfrac{1}{3}$

Step-by-step explanation:

Given the Geometric sequences:

1. ___, 24, ___, ___, 3/64

2. ___, 1/4, 1/2, ___

3. 81, ___, ___, ___, ___, 1/3

To find:

The values in the blanks of the given geometric sequences.

Solution:

First of all, let us learn about the $n^{th}$ term of a geometric sequence.

$a_n=ar^{n-1}$

Where $a$ is the first term and

$r$ is the common ratio by which each term varies from the previous term.

Considering the first sequence, we are given the second and fifth terms of the sequences.

Applying the above formula:

$ar = 24\\ar^4 = \dfrac{3}{64}$

Solving the above equation:

$r = \dfrac{1}{8}$

Therefore, the sequence is:

$\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}$

Considering the second given sequence:

$ar = \dfrac{1}{4}\\ar^2 = \dfrac{1}{2}\\\text{Solving the above equations}, r = 2$

Therefore, the sequence is:

$\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}$

Considering the third sequence:

$a = 81\\ar^5=\dfrac{1}{3}\\\Rightarrow r = 3$

Therefore, the sequence is:

$81, \underline{27, 9, 3, 1},\dfrac{1}{3}$

5 0

3 years ago

the sum of two numbers is 44. the smaller number is 20 less than the larger number. what are the numbers?

Troyanec [42]

Sum means add
x and y are the numbers
sum i 44
x+y=44

smaller s 20 les than larger
x=20+y
or
y=20+x
doesn't matter, just pick one
x=20+y

substue 20+y for x since they are equal
x+y=44
(20+y)+y=44
20+y+y=44
20+2y=44
subtract 20 from both sides
2y=24
divide by 2
y=12
subsitue
x=20+y
x=20+12
x=32

the numbers are 12 and 32

4 0

4 years ago

Read 2 more answers

What is the equation of the quadratic function shown in the graph?

oksano4ka [1.4K]

Answer:

f(x) = x² + 2x - 3

(x+3)(x-1)

Step-by-step explanation:

Zeroes are -3 and 1

Let α = -3 and β = 1

f(x) = x² - (α+β)x + (αβ)

= x² - (-3+1)x + (-3 × 1)

= x² - (-2)x + (-3)

= x² + 2x - 3

x²+2x-3

x² - x + 3x - 3

x(x-1) + 3(x-1)

(x+3)(x-1)

8 0

3 years ago