What is the sum of the arithmetic series 5
E(3n-2)
N-1

Complete Question:

The area of a trapezium is 400 cm2, the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm, then the length of the other side is ______

Answer:

[tex]Side\ 2 = 30cm[/tex]

Step-by-step explanation:

Given

[tex]A= 400cm^2[/tex] --- Area

[tex]h = 16cm[/tex] --- Height  

[tex]Side\ 1=20cm[/tex]

Required

The length of the other side (Side 2)

The area of a trapezium is:

[tex]A = \frac{1}{2}(Side\ 1 + Side\ 2) * h[/tex]

[tex]400 = \frac{1}{2}(20 + Side\ 2) * 16[/tex]

[tex]400 = (20 + Side\ 2) * 8[/tex]

Divide both sides by 8

[tex]50 = 20 + Side\ 2[/tex]

Collect Like Terms

[tex]Side\ 2 = 50 - 20[/tex]

[tex]Side\ 2 = 30cm[/tex]

Answer:

∆ABE ≅ ∆DCE by SAS Congruence Theorem.

Step-by-step explanation:

The diagram given indicates the following:

<E ≅ <E (vertical angles)

AE ≅ DE

BE ≅ CE

Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.

Therefore:

∆ABE ≅ ∆DCE by SAS Congruence Theorem.

Answer:

17 alyezhh

Step-by-step explanation:

its adding by 3's loljjjjhggg

Answer:

[tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Rectangle: A = lw

Calculus

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]:                                                                              [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle l = 10 \ meters[/tex]

[tex]\displaystyle \frac{dl}{dt} = 4 \ m/day[/tex]

[tex]\displaystyle w = 23 \ meters[/tex]

[tex]\displaystyle \frac{dw}{dt} = 1 \ m/day[/tex]

Step 2: Differentiate

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

Answer:

-0.125

Step-by-step explanation:

- Im learning about this , so im not really sure

Answer:

12=12     infinitely many solutions

x=8        one solution

4[tex]\neq \\[/tex]6      no solution

Step-by-step explanation:

ʕ•ᴥ•ʔ

Answer:

I feel like its C.

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

because all the a values are 5 more than b

Answer:

88 is a solution to 1/8 x =11, since a solution means that x is equal to that number, so in this scenario, x=88. When substituted(88*0.125), the same answer, 11, is obtained.

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.25

3.00

1.25

_____

$ 9.50

- 20.00

_______

$10.5

this is the answer step by step hope it helps

Answer:

The width of the rectangle is 15 inches.

Step-by-step explanation:

Take I as the length of the rectangle and w as its width. Use the relationship between the length and the width and express the length in terms of the width.

[tex]l = 1.5w[/tex]

The perimeter of a shape is the sum of its sidelength, use this imformation to write a expression for the perimeter of the rectangle;

[tex]p = 2l \: + 2w[/tex]

Now, replace l for the expression in terms of the width and P for the given perimeter, then solve for w:

[tex]75 = 2(1.5w) + 2w \\ 75 = 3 w + 2w \\ 75 = 5w \\ \frac{75}{5} = w \\ w = 15[/tex]

The width of the rectangle is 15 inches.

Answer:

a

Step-by-step explanation:

trust

Answer: D. The function is neither even nor odd.

Step-by-step explanation:

A function f(x) is even if:

f(x) = f(-x) for all x-valies

A function f(x) is odd if:

f(x) = -f(-x) for all x-values.

If there is only one value of x such that the above conditions are false, then the function is neither odd nor even.

In the graph, we can see that:

f( -π/3) = f(π/3)

This would imply that the function is even (at least in that point)

And can also see that as x increases from zero, the value of f(x) increases.

And as x decreases from zero, the graph of f(x) decreases.

So for a point  1 > a > 0, we have that:

f(a) ≠ f(-a)

Then we can conclude that the function is neither even nor odd, the correct option is D.

Answer:

D. The function is neither even nor odd

Step-by-step explanation:

edmentum

Answer:

a is the answer hope this help:D

Step-by-step explanation:

Answer:

16 oz

Step-by-step explanation:

the ratio is 3 oz of oj to 1 oz of seltzer.

I pretty much just divided 48 by 3.

I hope this is correct and I hope it helps you!

Answer:

n - 4.1 > 15

Step-by-step explanation:

the symbol always opens up to the larger number

we will find the area of triangle with sides 5y,6y and 9y using herons formula

Answer:

1 Monique has three sons who play football, two sons who 2 The accompanying diagram shows the results of a survey asking which sports the members of the Key 6 In Ms. Wright's English class, 16 students are in band ... are shown in the Venn diagram below. 11 A school district offers hockey and basketball. The

Step-by-step explanation:

Answer:

The length is (x+1)

    Step-by-step explanation:

We know the area equals length times width. LxW=Area

We know the width equals (x-7). We also know the area equals x² - 6x - 7.

We need to expand the area. When we do, we get (x+1)(x-7).

The width is (x-7), so the length must be (x+1)

Answer:

See step by step exlanation

Step-by-step explanation:

Assuming normal distribution

N( μ₀ , σ )

In this case N ( 1000, 200)

From a random sample of 64 accounts we get:

n  = 64

x = sample mean      x = 1040

σ = standard deviation of the population     σ = 200

1.-Test Hypothesis

Null Hypothesis               H₀          x =  μ₀ = 1000

Alternative Hypothesis    Hₐ          x ≠ μ₀    

The alternative hypothesis implies a two tail-test. Given that  n > 30 and σ is known we will use z-table

2.-  z(s) = ( x  - μ₀ ) / σ/√n

z(s) = ( 1040 - 1000 ) / 200/ √64

z(s) = 40*8/200

z(s) = 1,6

3.-P-val for  z (score 1,6)     p-value = 0,0548

4.- If significance level is 0,05  then  α = 0,05  and   α/2 = 0,025

p-value >  α/2        

Then  the z(s) < z(c)      1,6 < 1,96            where  z(c) is z score for α/2

We should accept H₀  

5.-We can claim that at 95 % (of Confidence Interval) the population mean is not significantly  different from 1000 $

Answer:

Step-by-step explanation:

for 1 cube of 6 sides, it takes 5 grams

so 1 side is 5/6th grams

now how many sides of small cubes are shown is 42

42*5/6=35 grams

Answer:

180 grams

Step-by-step explanation:

5gramsx number of squares

5gramsx 36=180grams

Answer:

I think it is 351

Answer:  36 is the answer

Answer:

64

Step-by-step explanation:

Step 1: 12 divided by 3 = 4. 12+4 = 16.

I need to know what ⅓ of 12 is so I can continue the problem without messing up.

Step 2: 16*2 = 32.

Half of however many are left is 16.

Step 3: 32 divided by 4 is 8. 32+8 is 40. Two dozen is 24. 40 + 24 = 64.

Now we know the answer.

Boom.

Answer:

one-third multiplied by twenty-three minus five

hope this helps and pls give brainliest!

Answer:

your answer will be

y=40 x +20

Step-by-step explanation:

have a nice day/night ^_^

Answer:

1. The government as well as private actors are accountable under the law. 2. The laws are clear, publicized, stable, and just; are applied evenly; and protect fundamental rights, including the security of persons, contract and property rights, and certain core human rights.

Step-by-step explanation:

Your welcome<3

Answer:

Step-by-step explanation:

It requires measures to ensure adherence to the principles of supremacy of the law, equality before the law, accountability to the law, fairness in the application of the law, separation of powers, participation in decision-making, legal certainty, avoidance of arbitrariness, and procedural and legal transparency.

Answer:1 gram of the small bag costs 0.256p ,1 gram of the medium bag costs 0.217p and 1 gram of the big bag costs 2. 032p

Step-by-step explanation:

Answer:

36 square units

Step-by-step explanation:

Height = 9

Base = 8

Area of a triangle = A = 1/2bh

Plug in

1/2 (8) (9) = 4 x 9 = 36

Answer:

144

Step-by-step explanation:

6 times 4 = 24

24 times 2 = 48

48 times 3 = 144

2/25

4/50

8/100

this are the smallest fractions equivalent to 8%

Answer:

8/100

Step-by-step explanation:

8% = 0.08 = 8/100

let me know if you need more of an explaination <33