Is 93 + 7 positive or negative?

Answer:

1352 cm

Step-by-step explanation:

Length (l) = 13 cm

Width (w) = 52 cm

Perimeter of the rectangle = 2(l + w) units

P = 2(13 + 8)

P = 2 (21)

P = 42

Thus, the perimeter of the rectangle is 42 cm.

Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?

Solution:

We know that the dimensions of the rectangle in terms of x:

l = 2x + 1

w = 2x – 1

Since the area of a rectangle is given by:

A = l * w

We can substitute the expressions for length and width into the equation for area in order to determine the value of x.

A = l * w

15 = (2x + 1) (2x -1)

15 = 4x2 – 1

16 = 4x2

x = ±2

Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:

l = 11 cm

w = 52 cm

Therefore, the dimensions are 5cm and 3cm.

Now, substituting these values in the formula for perimeter, we will get

P = 2l + 2w

P = 2(5)+2(3)

P = 10+6

P = 16 cm

Answer:

5/8

Step-by-step explanation:

3/4 = 6/8

6/8 - x = 1/8

x = used gas = 5/8

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

  73 pages

Step-by-step explanation:

You want the number of pages required to hold 583 cards when each page will hold 8.

The number of pages required is ...

  (583 cards)/(8 cards/page) = 72 7/8 pages

The least integer greater than this number is 73

The number of pages needed to store 583 cards is 73.

Answer:

5-y/5y

Sorry Im not to sure but maybe this will help?

Step-by-step explanation:

Answer:

negative 400 over 9−  

400

9

=negative 44 and 4 over 9− 44

4

9

≈negative 44.444−44.444

Step-by-step explanation:

Answer:

To solve the expression 2 + 7 • (-3)^2, we follow the order of operations, also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we evaluate the exponent: (-3)^2 = 9 (because squaring a number means multiplying it by itself).

Next, we perform multiplication: 7 • 9 = 63.

Finally, we perform addition: 2 + 63 = 65.

So, the value of the expression 2 + 7 • (-3)^2 is 65.

Required values of h, g, f, e, d are 10 ft, 53°, 90°, 37°, 6ft respectively.

What is congruent?

In mathematics, two objects are said to be congruent if they have the same shape and size. More formally, two objects are congruent if there exists a rigid transformation (such as a translation, rotation, or reflection) that can be applied to one object to make it coincide with the other object.

Congruence is often used to compare geometric figures such as triangles, rectangles, and circles. For example, two triangles are said to be congruent if their corresponding sides and angles are equal. This means that if you were to superimpose one triangle on top of the other, they would coincide exactly.

Congruence is an important concept in geometry and is used in many different areas of mathematics and science, such as in engineering and physics, to ensure thatobjects are identical in shape and size.

It is given that here both triangles are congruent.

So, we can say that their all sides and angles are equal.

Therefore, Length of h is 10 ft.

and value of g is 53°, value of f is 90° and value e is 37° and length of d is 6 ft.

Learn more about triangle here,

https://brainly.com/question/27827375

#SPJ1

answer

43.8 & 46.2

steps

x = (90 - x) - 2.4

x = 87.6 - x

2x = 87.6

x = 87.6 / 2

x = 43.8

90 - 43.8 = 46.2

step 1

Find out the measure of angle z

we have that

52+z=180 degrees ----> by forming a linear pair

z=180-52

step 2

Find out the measure of the third interior angle of the triangle on the left

we have that

45+50+third angle=180 degrees

third angle=180-95

third angle=85 degrees

step 3

Find out the measure of angle x

we have that

third angle+x=180 degrees --> by forming a linear pair

85+x=180

x=180-85

step 4

Find out the measure of angle y

we have that

x+52=y -----> by exterior angle theorem

95+52=y

Answer:

it's C

All the graphs except C crosses the x axis at the roots but C doesn't

Answer:

Xbox One is the better console to buy.

Adding the game console for $150.00 with 7 games costing 24, they will cost you $318.00

While the PlayStation 4 with the 7 games cost a total of $320.00

It is better to buy X-box which is $2 Cheaper than Playstation.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
X-box One for $150.00 and each game to go with it would cost $24.00.
Total cost 1, for buying 7 games,
Total cost 1 = 150 + 24×7,
Total cost 1 = 150 + 168,
Total cost 1 = 318

A Playstation 4 for $180.00 and each game for $20.00.
Total cost 2, for buying 7 games,
Total cost 2 = 180 + 20×7
Total cost 2 = 320

Thus, it is better to buy X-box which is $2 Cheaper than Playstation.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

Answer:

17.6

Step-by-step explanation:

1kg=2.2lbs

Multiply each side by 8

8kg=17.6 lbs

Answer:

If m= 32 then the answer is 320

If you're looking to find m then the answer is m= -10

Step-by-step explanation:

(2 + 8)32

(10)32

320

(2+8)m

set it equal to 0

(2+8)m=0

(10)m=0

-10

m= -10

The value of graph of function g (x) is,

⇒ g (x) = (x + 4)²

We have to given that;

The graph of function f (x) is,

⇒ f (x) = x²

Here, The graph of function g (x) is 4 unit left to the graph of f (x).

Hence, The graph of function g (x) is,

⇒ g (x) = (x + 4)²

Thus, The value of graph of function g (x) is,

⇒ g (x) = (x + 4)²

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

8

Step-by-step explanation:

Thanks I was reading it like "what?" lma oo

But thanks Have a good day!!

Answer:

THEREFORE THE CONFIDENCE INTERVAL from the Z table = ±1.645

Step-by-step explanation:

Confidence level = 95% = 0.95

compound 1

Number of samples ( n1 ) = 243

Average brake life ( x1 ) = 37866 miles

standard deviation ( ∝ ) = 4414 miles

compound 2

number of samples ( n2 ) = 268

Average brake life ( x2 ) = 45789 miles

standard deviation ( ∝ ) = 2368 miles

Determine the 95% confidence interval for the true difference between average lifetimes

significance level (β) = 1 - confidence level = 1 - 0.95 = 0.05

standard error = \(\sqrt{\frac{\alpha1^2 }{n1} + \frac{\alpha2^2}{n2} }\)    = \(\sqrt{}\)( 4414^2/243) + (2368^2/268) =

critical value = 0.05/2 =Z 0.025 = 1.645

THEREFORE THE CRITICAL VALE from the Z table = ±1.645

Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

Answer:

x + 3 =8  x 4 =32 so your answer is 32 sorry for he wait

Step-by-step explanation:

x =5

Replace h in the equation with 21 hours and solve for d:

D = 8/6(21) + 4 1/2

D = 28 + 4 1/2

D = 32 1/2

As a decimal: 32.5

Answer:

Tripling the price means it increased by 200% so the markup is 200% (pls give brainlest please!)

It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

To learn more about exponential function visit:

https://brainly.com/question/14355665

#SPJ1

Answer:

If i did it correctly the answer should be 255 days

Step-by-step explanation:

please mark brainliest

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:

3

Step-by-step explanation:

divide the top number by the bottom to always find the constant of proportionality :D

Answer:

3

Step-by-step explanation:

y is being multiplied by 3  to get the x values. Hope this helped you!! Give brainliest.

Answer:

Simple, no. This would not be enough.

Step-by-step explanation:

This is because you mentioned that there are 20 students and each of them needed 2 plates. So, there would need to be at least 40 plates. Forks seem irrelevant in this question but if the teacher has 8 plates in 1 box and another 8 in the second box, that would sum up to 16 plates that are available. And the fact that the box doesn't even include the other items, should hint the lack of items available for the students.

This question seemed worded differently. But tried my best. :)

Answer:

16

Step-by-step explanation:

Answer:

h = 16

Step-by-step explanation:

Ratios:

\(\frac{h}{24} =\frac{4}{6} \\\\6h=96\\h=16\)

Answer:

3

Step-by-step explanation:

Hello,

\(f(x)=2|x|-3\\f(-3)=2|-3|-3=2*3-3=6-3=3\)

Answer:

f(-3) = 3

Step-by-step explanation:

f(x)=2|x|−3

f(−3) = 2|-3| − 3

f(-3) = 2(3) - 3

f(-3) = 6 - 3

f(-3) = 3