For class 6 a)a square can be taught of as a special rectangle. b)a rectangle can be thought of as a special parallelogram. c)a square can be thought of as a special rhombus. d) squares , rectangles , parallelograms are all quadrilaterals. e) square is also a parallelogram. please answer fast

Answer:

37.12

Step-by-step explanation:

Area of a Semi-circle = 3.14 x r to the 2nd power / 2

Area of a Triangle = b x h /2

3.14 times 4 to the 2nd power  divided by 2 is 25.12. 8 times 3 is 24, divided by 2 is 12. Add 25.12 and 12 together and get 37.12.

Answer:

(8π + 12) in.2 or B

Step-by-step explanation:

E2020

The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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\( \huge \boxed{\mathfrak{Question} \downarrow}\)

If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.

a) 15.8 cm

b) 14.2 cm

c) 12 cm

d) 19.2 cm

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Please refer to the attached picture for the answers with steps included.

NOTE :-

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Hope it'll help you!

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Answer:

Step-by-step explanation:

10% of 24 hours = 0.10×24 hours = 2.4 hours

Answer:

36

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

4×9=36

36÷2=18

more words because I need more characters

Answer:

Step-by-step explanation:

Remark

The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?

It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).

The ratios are still true, but the angles do not match. So the whole answer is incorrect.

The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

Given that P(n) be the assertion

∑j² = n (n+1)(2n+1)/6

(a) For n = 3, we get

∑j² = 1² + 2²+3² =14

= 3(3+1)(6+1)/6

=14

Hence, P(3) is true.

(b) Expression for P(k) may take the form

∑j² = k (k+1)(2k+1)/6

(c) Expression for P(k + 1) may take the form

∑j² = (k+1) (k+2)(2k+3)/6

(d)Base case:

In base case, we must prove that P(1) is true.

(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.

(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.

(g)Base case:

a) For n=1, we get

RHS= 1(1+1)(2+1)/6

=1

Hence, P(1) is true.

Inductive hypothesis:

Assume P(k) is true:

∑j² = k (k+1)(2k+1)/6

Inductive step:

Now,

∑j² = k (k+1)(2k+1)/6 +(K+1)²

which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

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Answer: part A: 5.4 because its a terminating deciaml Part B: 5.67854... and to the nearest hundereth is 5.68  

Step-by-step explanation:

The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432

Answer:

The horizontal asymptote is y=0

Solution of laplace´s equation uxx + uyy = 0 including these function :

Hence, the solutions of laplace´s equation is including the following functions above.  

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Answer:

D: 132 ft

Step-by-step explanation:

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

Answer:

132

Step-by-step explanation:

Answer:

81.51

Step-by-step explanation:

So first you will want to take the percentage of the $78.00.

What we do is multiply 78.00 by 0.045

which is 4.5%

You then get $3.51

Add that to the $78.00:

78.00 + 3.51

= $81.51

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

The volume of the rectangular prism is 11.28 feet³.

In terms of geometry, a rectangular prism is a polyhedron having two parallel, congruent bases. It also goes by the name cuboid. A rectangular prism is made up of six rectangles, each with twelve edges.

We are given that a rectangular prism has the following dimensions:

Length (l) = 4.7 feet

Width (w) = 1.5 feet

Height (h) = 1.6 feet

We know that

Volume (V) = \(l \times w \times h\)

From this, we get

⇒V = \(4.7 \times 1.5 \times 1.6\)

⇒V = 11.28 feet³

Hence, the volume of the rectangular prism is 11.28 feet³.

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Answer: Your answer is 11.28 ft³

Step-by-step explanation: 4.7 x 1.5 x 1.6 = 11.28 you have to do it in this order also I did the k12 quiz here's proof.

Hope it helped :D

Answer: 4π cm or 12.56 cm

Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.

Since the radius is 2 centimeters, we can

plug in 2 centimeters for r in the formula.

So we have (2)(π)(2 cm) which is equal to 4π cm.

So the circumference of this circle is 4π cm.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (4)(3.14) which is equal to 12.56.

So the circumference of the circle is

approximately equal to 12.56 cm.

Answer:

d

um belo dia abençoado

Answer: 15.9

Step-by-step explanation:

Multiply them and get 15.9

Answer:

7.2 Minutes

Step-by-step explanation:

Use Ratios

Miles : Minutes

5:36

Divide Both Sides By 5

1:7.2

It will Take Ally 7.2 Minutes To Run 1 Mile

Answer:

5.8

Step-by-step explanation:

2.5² + 5.2² = c² ≈ 5.8 units

Answer:

5.8

Step-by-step explanation:

√(2.5^2 + 5.2^2) = 5.77

5.77 to the nearest ones decimal point is 5.8

Expand the equation a bit to get

\(2^{2x} - 3\left(2^{x+2}\right) + 32 = 0\)

\(2^{2x} - 3\left(2^x \cdot 2^2\right) + 32 = 0\)

\(2^{2x} - 12 \left(2^x\right) + 32 = 0\)

\(\left(2^x\right)^2 - 12 \left(2^x\right) + 32 = 0\)

Substitute y = 2ˣ and you'll notice this is really a quadratic equation in disguise. You end up with

\(y^2 - 12y + 32 = 0\)

which is easily solved by factorizing,

\((y - 8) (y - 4) = 0\)

\(\implies y - 8 = 0 \text{ or }y - 4 = 0\)

\(\implies y = 8 \text{ or }y = 4\)

Now, 2³ = 8 and 2² = 4, so

• if y = 2ˣ = 8, then x = 3; otherwise,

• if y = 2ˣ = 4, then x = 2

Answer:

x = 3 or x = 2

Step-by-step explanation:

answer is in the picture

The correspondent values for the triangles are:

1)  67.4°

2) 5cm

3) 19.5cm

4)  35 cm²

We know that the two triangles are similar, so there is a scale factor K between all the correspondent sides, then we can write the relation between the bases of the triangles.

18cm*K = 12cm

K = 12/18

K = 2/3

Then the height of the image is:

H = 7.5cm*(2/3) = 5cm

Then the area of the image is:

A = 5cm*12cm/2 = 35 cm²

The hypotenuse of the triangle in the left is:

h = 13cm*(3/2)= 19.5cm

The angle in the top vertex is:

Asin(12/13) = 67.4°

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Let the number be represented by "n"

Answer:

you have it correct sir

Step-by-step explanation:

The question gives that 9 egg cartons contain 72 eggs.

It then follows that we can find the number of eggs in one carton by division.

Hence, in one carton, we have

We can, therefore, fill the boxes as shown below:

There are 8 eggs in one carton.

Answer:

x = \(2\sqrt{3}\) , y = \(4\sqrt{3}\) ⇒ A

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its three sides

→  30°  :  60°  :  90°

→  1      :   \(\sqrt{3}\)  :   2

In the given figure

∵ The length of the hypotenuse is y

∵ The length of the side opposite to the angle of measure 30° is x

∵ The length of the side opposite to the angle of measure 60° is 6

→ By using the ratio above

→  30°  :  60°  :  90°

→  1      :   \(\sqrt{3}\)  :   2

→  x      :   6    :   y

→ By using cross multiplication

∵ x × \(\sqrt{3}\) = 1 × 6

∴ x \(\sqrt{3}\)  = 6

→ Divide both sides by \(\sqrt{3}\)

∴ x = \(\frac{6}{\sqrt{3}}\)

→ Simplify it by multiplying up and down by \(\sqrt{3}\)

∴ x = \(\frac{6\sqrt{3}}{3}=2\sqrt{3}\)

∴ x = \(2\sqrt{3}\)

∵ y × \(\sqrt{3}\) = 6 × 2

∴ y \(\sqrt{3}\)  = 12

→ Divide both sides by \(\sqrt{3}\)

∴ y = \(\frac{12}{\sqrt{3}}\)

→ Simplify it by multiplying up and down by \(\sqrt{3}\)

∴ y = \(\frac{12\sqrt{3}}{3}=4\sqrt{3}\)

∴ y = \(4\sqrt{3}\)

The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*. For example, sin(x²) is a composite function because it can be constructed as f(g(x)) for f(x)=sin(x) and g(x)=x².

In  calculus, the chain rule is a formula used to find the derivative of a compound function. If y = f(g(x)), then according to the chain rule, the instantaneous rate of change of function 'f' with respect to 'g' and 'g' with respect to x gives the instantaneous rate of change of 'f' with respect to x. So the derivative of y is given by y' = f'(g(x)).g'(x). The chain rule is one of the most important separation rules. In this article we will learn  chain rule formula with solved examples. The rule applied to find the derivative of a composite function (eg cos 2x, log 2x etc.) is basically known as the chain rule. This is also called the compound function rule. The chain rule  only applies to compound functions. So before starting the  chain rule formula, we need to understand the meaning of compound function and how to differentiate it.

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