The length of a rectangle is 5cm more than width. Find expression fo the perimeter of the rectangle in terms of the w

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:

21 is c 22 is b hope this helps

Step-by-step explanation:

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:

447

Step-by-step explanation:

Answer:

447

Step-by-step explanation:

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:

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:

brainly.com/question/13330632

Answer:

The function is nonlinear .

Step-by-step explanation:

This is a non linear function.

Answer:

98.91

Step-by-step explanation:

rounded to 2 decimal places

To my best understanding, you're given that

[tex]\displaystyle\int_{C_1}\vec F\cdot\mathrm d\vec r=6\text{ and }\int_{C_2}\vec F\cdot\mathrm d\vec r=13[/tex]

where C₁ and C₂ are some arbitrary paths, evidently starting at the point P and ending at the point Q, and you have to find the value of

[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r[/tex]

where C is the path consisting of C₁ (from P to Q) and the reverse of C₂ (from Q back to P). So we have

[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_{C_1}\vec F\cdot\mathrm d\vec r - \int_{C_2}\vec F\cdot\mathrm d\vec r = 6-13 = \boxed{-7}[/tex]

Answer:

3rd one

Step-by-step explanation:

Answer:

it will cost 130

Step-by-step explanation:

10x7=70   12x5=60  60+70=130  

Answer:

Researcher B

Step-by-step explanation:

Normally, when all other things being equal, we usually say that power is higher when the standard deviation is small than when it is large.

Now, from researcher A, standard deviation is 110 while from researcher B, standard deviation is 60.

We can see that the standard deviation for researcher B is smaller than that of researcher A.

Therefore, we can conclude that since the standard deviation for researcher B is lesser than that of researcher A, it means that Researcher B will have more power to detect an effect.

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

[tex](15 + x) : (12 + 8) = x : 8[/tex]

[tex]15 + x : 20= x : 8[/tex]

Convert to fraction

[tex]\frac{15 + x}{20} = \frac{x}{8}[/tex]

Cross Multiply:

[tex](15 + x)*8 = 20 * x[/tex]

[tex]120 + 8x = 20x[/tex]

Collect Like Terms

[tex]20x - 8x = 120[/tex]

[tex]12x = 120[/tex]

Solve for x

[tex]x = \frac{120}{10}[/tex]

[tex]x = 10[/tex]

The length of the missing side is 10

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:

13,930

Habe ein gut tag.

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:

https://brainly.com/question/13585407

#SPJ6

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:

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:

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.

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:

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]

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:

-5a

Step-by-step explanation:

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

Give Brainliest if I helped Please!

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:

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:

3

Step-by-step explanation:

2x+6=5x-3

9=3x

x=3

Answer: a=54

Step-by-step explanation:

2a = (a+10) +44

2a=a+10+44

2a=a+54

a=54