the area of a rectangle is 72cm2, in which the width is twice the length. what are the dimensions

Answer:

(θ) = 84°

Step-by-step explanation:

Given:

sin(θ)=cos(6)

Find:

value of θ

Computation:

sin(θ)=cos(6)

We know that

cos(90-a) = sin(a)

So,

sin(θ)=cos(90-84)

sin(θ)=sin(84)

So,

(θ) = 84°

The value of (θ) = 84°

Given that,

Based on the above information, the calculation is as follows:

sin(θ)=cos(6)

We know that

cos(90-a) = sin(a)

So,

sin(θ)=cos(90-84)

sin(θ)=sin(84)

So,

(θ) = 84°

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Answer:

Step-by-step explanation:

1 000 000 000 000 E12

Answer:

Step-by-step explanation:

0.000 000 000 001

first thing we need to do is factorise because we can't calculate infinity/infinity

and we are left with 1^infinity this is an euler function

an euler function looks like this

Answer:

[tex]E\approx14,962\text{ feet}[/tex]

Step-by-step explanation:

Please refer to the attachment below.

As shown, we can split the diagram into a scalene triangle and a right triangle.

The strategy here is to use the Law of Sines to find x, then use right triangle ratios to find h, the height of Matterhorn (with respect to our elevation).

Let’s start with the scalene triangle.

To use the Law of Sines, we will need two angles and the sides opposite to the angles.

Since we need to find x, we need the angle opposite to x. This is already given to us as 30°.

We can use the side that measures 1,500. The angle opposite to it θ is unknown.

So, we will need to determine θ. From supplementary angles, we know that:

[tex]\alpha+35=180[/tex]

So, it follows that:

[tex]\alpha=145^\circ[/tex]

The interior angles of a triangle always sum to 180°. Hence:

[tex]30+\alpha+\theta=180[/tex]

By substitution:

[tex]30+145+\theta=180[/tex]

Hence:

[tex]\theta=5^\circ[/tex]

Now, we can use the Law of Sines, given by:

[tex]\displaystyle \frac{\sin(A)}{a}=\frac{\sin(B)}{b}[/tex]

It is important to align the angles correctly with the sides.

So, we will substitute θ = 5° for A and 1,500 for a.

And we will substitute 30° for B and x for b. Hence:

[tex]\displaystyle \frac{\sin(5^\circ)}{1,500}=\frac{\sin(30^\circ)}{x}[/tex]

Solve for x. Cross-multiply:

[tex]x\sin(5^\circ)=1500\sin(30^\circ)[/tex]

Hence:

[tex]\displaystyle x=\frac{1500\sin(30^\circ)}{\sin(5^\circ)}[/tex]

When doing trigonometry (or any math, really), try not to round intermediate values, as this may result in inaccuracies in the final answer. Hence, we will leave this as is.

Now, we can use the right triangle.

We know that an angle is 35°.

The height h is opposite to our angle.

And x was our hypotenuse. Therefore, we can use the sine ratio given by:

[tex]\displaystyle \sin(x^\circ)=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

In this case, our angle is 35°.

The opposite side is h.

And the hypotenuse is x. Hence, by substitution:

[tex]\displaystyle \sin(35^\circ)=\frac{h}{x}[/tex]

Solve for h. Multiply both sides by x:

[tex]h=x\sin(35^\circ)[/tex]

Since we already know the value of x:

[tex]\displaystyle h=\frac{1500\sin(30^\circ)}{\sin(5^\circ)}\cdot\sin(35^\circ)[/tex]

Simplify. So, the height of Matterhorn with respect to our current elevation is:

[tex]\displaystyle h =\frac{1500\sin(30^\circ)\sin(35^\circ)}{\sin(5^\circ)}[/tex]

The total elevation of Matterhorn will be the current elevation of the surveyor plus the height with respect to the current elevation or simply h. So, the elevation height is:

[tex]E=9756+h[/tex]

By substitution:

[tex]\displaystyle E=9756+\frac{1500\sin(30^\circ)\sin(35^\circ)}{\sin(5^\circ)}[/tex]

Now we may approximate. Use a calculator. So, the total elevation of Matterhorn is:

[tex]E=14961.78867...\approx14,962\text{ feet}[/tex]

Answer:

3

Step-by-step explanation:

2x+6=5x-3

9=3x

x=3

Answer:

Correct choice: B

Step-by-step explanation:

System of non-linear equations

It's given the following system of equations:

[tex]y=x^2+3x+5[/tex]

[tex]y=x+13[/tex]

We'll use the substitution method. Substituting y from the first equation into the second equation, we have:

[tex]x^2+3x+5=x+13[/tex]

Moving all terms to the left side:

[tex]x^2+3x+5-x-13=0[/tex]

Simplifying:

[tex]x^2+2x-8=0[/tex]

Factoring:

[tex](x+4)(x-2)=0[/tex]

There are two solutions:

x=-4, x=2

The first solution gives a value for y:

y=-4+13=9

First solution: (-4,9)

The second solution gives a value for y:

y=2+13=15

Second solution: (2,15)

Correct choice: B

Answer:

None of the above

Step-by-step explanation:

Given

[tex]Design = 2^4[/tex]

Required

Determine the degree of freedom (df)

df is calculated as follows;

[tex]df = N- 1[/tex]

In this case:

N = Number of designs,

[tex]N = 2^4[/tex]

[tex]N = 16[/tex]

Substitute 16 for N in [tex]df = N- 1[/tex]

[tex]df = 16 -1[/tex]

[tex]df = 15[/tex]

Hence, none of the options answer te question

Answer:

Blac cack

Step-by-step explanation:

Answer:

X=8 1/13

Y=31 11/13

Step-by-step explanation:

Answer:

x = 15

y = 63

Step-by-step explanation:

[tex](9x - 7) \degree + (4x - 8) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ (9x - 7 + 4x - 8) \degree = 180 \degree \\\\ (13x - 15) \degree = 180 \degree \\ \\ 13x - 15 = 180 \\ \\ 13x = 180 + 15 \\ \\ 13x = 195 \\ \\ x = \frac{195}{13} \\ \\ x = 15 \\ \\ (2y + 2) \degree = (9x - 7) \degree \\ (interior \: alternate \: \angle s) \\ \\ (2y + 2) \degree = (9 \times 15 - 7) \degree\\ \\ (2y + 2) \degree = (135- 7) \degree\\ \\ (2y + 2) \degree =128 \degree \\ \\ 2y + 2 = 128 \\ \\ 2y = 128 - 2 \\ \\ 2y = 126 \\ \\ y = \frac{126}{2} \\ \\ y = 63[/tex]

Answer:

it will cost 130

Step-by-step explanation:

10x7=70   12x5=60  60+70=130  

Answer:

u=2s

Step-by-step explanation:

just took the exam

The expression that most effectively represents u's value would be:

D). u = 2s

Given that,

In ΔABC,

E is the midpoint in the segment AC,

While D is the midpoint of BC,

As different letters are provided equivalent to different segments. For example; Segment ED = s ; Segment CE = p ; Segment EA = r

Segment CD = q ; Segment DB = t ; Segment ED = s ; Segment AB = u

As,

CE = 0.5 × AC(midpoint)

CD = 0.5 × CB (midpoint)

Thus,

CE/AC = CD/CB = ED/AB = 1/2           (Through side angle side similarity)

Since ED = s and AB = u

∵ u = 2s                                   (using midpoint theorem)

Thus, option D is the correct answer.

Learn more about "Segment" here:

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Answer:

The answer is B. 1/3 * 6/1

Step-by-step explanation:

When dividing fractions, you multiply the first term in the expression by the reciprocal of the 2nd term.

Answer: a=54

Step-by-step explanation:

2a = (a+10) +44

2a=a+10+44

2a=a+54

a=54

Answer:

The function is nonlinear .

Step-by-step explanation:

This is a non linear function.

Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.

Answer:

21 is c 22 is b hope this helps

Step-by-step explanation:

Answer:

194 square units

Step-by-step explanation:

perimeter is the measurement of the distance surrounding a shape. There fore, the perimeter of the shape is: 42+53+56+44=194 square units

Answer:

We conclude that '5 times the difference of a number and 7​' can be written algebraically such as: 5(x-7)

Step-by-step explanation:

The difference of a number and 7 is determined by subtracting 7 from the number.

so

Given that 5 times the difference of a number and 7​.

so the expression becomes

Therefore, we conclude that '5 times the difference of a number and 7​' can be written algebraically such as: 5(x-7)

Answer:

98.91

Step-by-step explanation:

rounded to 2 decimal places

Answer:

x = 16°

Step-by-step explanation:

The three internal angles of the triangle are:

180° - 91° = 89° (angles in a straight line)

180° - 105° = 75° (angles on a straight line)

x = x (vertical angles are congruent)

x + 89 + 75 = 180 (sum of interior angles of a ∆)

x + 164 = 180

x = 180 - 164 (subtraction property of equality)

x = 16°

Answer:

Right of X = 368.5

Step-by-step explanation:

By using the normal approximation to the Binomial random variable, we normally make use of continuity correction.

Using the rule of continuity;

P(X > K) turn out to be P(X > K + 0.5)

To determine the required probability:

∴

P(X > K) turn out to be P(X > K + 0.5)

P(X > 635) turn out to be P(X > 368 + 0.5)

⇒ P(X > 368.5) to  the right.  

Right of X = 368.5

Answer:

th answer is 10.

Step-by-step explanation:

in the pic. can i get brainlist

Answer:

64

Step-by-step explanation:

First, we multiply by 4 on both sides to get rid of the pesky fraction. We get:

x - 24 = 40

Now we add 24 on both sides to isolate the x and get all of the numbers on the other side:

x = 64

To check our work, we can input our answer back into the equation:

(64)/4 - 6 = 16 - 6 = 10

This satisfies the equation. Therefore, x = 64 is our answer!

I hope this helps! :)

Answer:

There are 7 tenths

Step-by-step explanation:

The tenths spot is the first spot over to the right of the decimal place, so there are 7 tenths

As we know that 10 tenths are there in 1 so, there are total 27 tenths are there in the 2.7

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

10 tenths make up one, hence there are,

2.7 × 10 = 27 tenths in 2.7

There is one more way to check this,

2.7 ÷ (1/10)

= 2.7 × 10

= 27

To know more about arithmetic operations:

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Answer:

Skewed to the left

Step-by-step explanation:

In pearson mode skewdness, the mean, mode and median are used to determine if we have a positive or negative skewed distribution.

Now, If the mean is greater than the median, it means that the distribution is positively skewed and therefore skewed to the right. However, If the mean is less than the median, it means that the distribution is negatively skewed and therefore skewed to the left.

In our question, the median is 85 and mean is 78. Thus, it means median is greater than the mean and as such, the distribution isnegatively skewed and therefore skewed to the left.

y=3x - 5....(i)

6x+3y=15.....(ii)

Then,

Keeping value of y in (ii)equation;

or,6x+3(3x-5)=15

or,6x+9x-15=15

or,15x=15+15

or,x=30/15

:x=2

Now, Keeping value of x in (i) equation;

y= 3x-5

or, y= 3×2 - 5

or,y= 6-5

: y=1

Answer:

-5a

Step-by-step explanation:

-21 + 16 = 16-21 16-21= -5 Therefore, a=-5

Give Brainliest if I helped Please!

Answer:

3rd one

Step-by-step explanation: