Mathematics College

A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x?​

A Rectangle Has A Width Of 3.5 Inches And A Length Of X Inches. If The Diagonal Of The Rectangle Is 12.5

Answers

Answer 1

Answer:

12.0

Step-by-step explanation:

we solve using the pythagorean theorem.

sqrt of (12.5^2 - 3.5^2)

answer is 12

rounded of to the nearest tenth is 12.0

Related Questions

Factorise fully 21a-7a²

Answers

-7(a-3)a

hope it helps...!!!!

Solve the problem with more than one answer

13-7+8=

Answers

Answer:

14

-83

-43

these anwrers when you make it with different ways.

You nees to get more than one answer with this problem I guess.

13-7+8 = 14

13(-7) + 8 = -83

13-7(+8) = -43If this not what you asked please delete my answer, if not kindly give me brainliest if you like.

Answer:

THERE IS NO OTHER ANSWER THAN 14

Step-by-step explanation:

Only 1 answer can be found by doing this problem in any order:

If we do 13-7 first:
(13-7)+8=

6+8=

14

So 1 answer is 14

If we do -7+8 first:

13+(-7+8) =

13+1=

14

So either way you do it you get the same answer. This is why it doesn't matter whether you do addittion or subtraction first before the other.

THERE IS NO OTHER ANSWER THAN 14

What is the domain of the function y=\sqrt{x}
What is the domain of the function y = StartRoot x EndRoot?

Answers

Answer: C (third choice)

Step-by-step explanation:

Square roots cannot hold negative x values as it will create an imaginary number.

Therefore the starting value of x must be starting at 0 and then moving to infinity

Answer:

c

Step-by-step explanation:

Which of the following is most likely the next step in the series?
od
ОА
O
O B.
OC.
OD.

Answers

The circles in the figures form a series

The next step in the series is (B)

How to determine the next step?

From the figure, we have the following highlights

The first circle has 2 segmentsThe second circle has 4 segmentsThe third circle has 5 segments

Using the above pattern, the next circle must have 6 segments

Hence, the next step in the series is (B)

Read more about series at:

https://brainly.com/question/6561461

A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
What is the area of the shaded region?

Answers

Answer:

Hope the picture will help you.................

How did the structure of the Han dynasty reflect Confucianism? Increasing rebellions represented the emphasis on warfare. Crowning a new emperor reflected the importance of loyalty. The multiple levels of bureaucracy reflected the belief in social order. The need for new leaders highlighted the importance of self-promotion.

Answers

Answer:

the multiple levels of bureaucracy reflected the belief in social order

Step-by-step explanation:

(a) Write down the angle between the vector i + j and the vector i- j.
(6) Calculate the angle between the vector 2i + 5j and the vector 4i.
(2)
(c) Two forces, A = (14i +2j) N and B = (2i - 6j) N, act on a ball.
Show that the magnitude of A is Root k times larger than the magnitude of B, where k is
an integer
(3)

Answers

(a) Let θ be the angle between i + j and i - j. Then
(i + j) • (i - j) = ||i + j|| ||i -j|| cos(θ)
We also recall that for any vector x,
||x||² = x • x
We have
(i + j) • (i - j) = (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= ||i||² + (i • j) - (i • j) - ||j||²
= 1 + 0 - 1
= 0
and
||i + j|| = √(1² + 1²) = √2
||i - j|| = √(1² + (-1)²) = √2
So,
0 = 2 cos(θ)
cos(θ) = 0
θ = arccos(0) = 180°

(b) By the same process, we find
(2i + 5j) • 4i = 8
||2i + 5j|| = √(2² + 5²) = √29
||4i|| = 4
Then if θ is the angle between 2i + 5j and 4i, we have
8 = 4√29 cos(θ)
cos(θ) = 2/√29
θ = arccos(2/√29) ≈ 68.1986°

(c) Compute the magnitudes:
||A|| = √(14² + 2²) = √200 = 10√2
||B|| = √(2² + (-6)²) = √40 = 2√10
Now we can write
||B|| = 2√10 = 2 √(5 × 2) = 2√5 × √2 = 1/√5 × 10 √2 = 1/√5 ||A||
or
||A|| = √5 ||B||
so that k = 5.

Write the equation of the line through the points (-6, -19) and (2, 5).

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

The slope of a line passing through the two points

P = (x1. y1) and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= -6, y1= -19, x2= 2, y2= 5

m=3

Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).

b= -19-(3)(-6)

b= -1

y = 3x - 1

Rewrite the expression ^3 square root of x^8 using rational exponents.

Answers

Answer:

X^8/3

Step-by-step explanation:

When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.

Need help ASAP due today! I will give brainlisted for correct answer!

Answers

Answer: 15.

Step-by-step explanation: To find the slope, you need to use rise/run which is done below if you need a visual look at what I'm saying.  Before we use rise/run, we need two points on the line.  We'll use (2, 80), and (6, 140).  We need to go 60 up and 4 to the right to make the points meet.  Going up or down is the rise and left or right is the run.  Our rise/run is 60/4 or 15 when you divide.  Therefore, 15 is your slope for this equation of a line.

Have a great day! :)

What is the slope of a line perpendicular to the line whose equation is
3x – 3y = 63. Fully simplify your answer.

Answers

Answer:

3x-3y=63 = -1

Step-by-step explanation:

so the anwer is -1

Find the equation of the line joining the points (4, 9) and (-1, 0)

Answers

The equation of the line joining the points (4, 9) and (-1, 0) is y = 9/5 x + 9/5

How to find the equation of a line?

The formula for calculating the equation of a line is expressed as:

y = mx + b

m is the slope

b is the intercept

Determine the slope:

Slope = 0-9/-1-4
Slope = -9/-5
Slope = 9/5

Determine the y-intecept

0 = 9/5(-1) + b

b = 9/5
Hence the equation of the line is y = 9/5 x + 9/5

Learn more on equation of a line here: https://brainly.com/question/13763238

if 8 pieces are 220 calories how many calories is 1 piece

Answers

Step-by-step explanation:

8 pieces = 220 colories

1 piece = 220/8 = 27.5 calories

Answer:

27.5

Step-by-step explanation:

8 divided by 220 = 27.5

Sorry about the fisrts time i put the 8 in frunt and 220 in the back so it was all back werds Sorry about that

And Hope This Helps

HELP
Which speed is equivalent to 1/2 mile per hour?

Answers

the answer is b (brainly is omd)

find the equation of line that passes through the point (4,-5) and the slope 5/4

Answers

Answer:

[tex]\boxed{\sf{y=\dfrac{5}{4}x-10 }}[/tex]

Step-by-step explanation:

To find the equation of line, you have to use a slope and slope-intercept formula.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Slope-intercept formula:

[tex]\Longrightarrow:\sf{y=mx+b}[/tex]

M represents the slope.B represents the y-intercept.

So, the slope is 5/4.The y-intercept is -10.

Rewrite the problem down.

y=5/4x-10

So, the correct answer is y=5/4x-10.

I hope this helps you! Let me know if my answer is wrong or not.

A cylinder has a diameter of 6 cm and a height of 3 cm. What is the surface area of the cylinder? Enter your answer, in exact form, in the box.

Answers

If the diameter and height of the cylinder are 6 cm and 3 cm. Then the surface area of the cylinder is 56.55 square cm.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a diameter of 6 cm and a height of 3 cm.

Then the surface area of the cylinder will be

[tex]\rm SA = \pi d h[/tex]

We have

d = 6 cm

h = 3 cm

Then the surface area will be

[tex]\rm SA = \pi \times 6 \times 3 \\\\SA = 56.55[/tex]

More about the cylinder link is given below.

https://brainly.com/question/3692256

#SPJ1

Evaluate the expression 5p for p=2

Answers

Answer:

10

Step-by-step explanation:

when p=5

substituting p=5 into 5p.

5p = 5×2 =10

Odds in favor of drawing a face card

Answers

Answer:

y blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah

12 face cards

->12/52

=3/13

un classeur contient des feuilles de couleurs différents les deux tiers des feuilles sont blanches le un sixieme des feuilles sont bleues et 12 feuilles restantes sont jaunes determiner le nombre des feuilles dans le classeur

Answers

Answer:

Step-by-step explanation:

bonjour :

soit  x  le nombre des feuilles dans le classeur

les deux tiers des feuilles sont blanches veut dire : (2/ 3)x

un sixieme des feuilles sont bleues veut dire : (1/6)x

on compose cette équation       :    (2/ 3)x + (1/6)x +12 = x

rsolvont cette équation : multiplions les deux membres par : 6

4x+x+72 =6x

4x-6x+x+72=6x-6x

-x+72=0

x=72

verification :(2/3)(72)+(1/6)(72)+12=144/3 +72/6 +12 =48+12+12=72

Lin's grandmother ordered needles that were 0.3125 inches. The pharmacist sent her 0.6875 inches needles. How longer were these needles than the ones she ordered?

Answers

Answer:

0.375

Step-by-step explanation:

0.6875-0.3125 = 0.375

plsss help ill give briliantest ​

Answers

Answer:

The answer is 310

Step-by-step explanation:

Example of distributive property of division

The 1,860 is broken down into 1800 & 60

1800 divided by 6            +               60 divided by 6

1800 divided by 6 = 300        +         60 divided by 6  = 10

300 + 10 = 310

There are 1,000 millimeters in 1 meter. How many millimeters are in
118 meters? Circle the letter of the correct answer.
A 0.0118 millimeter
B. 0.118 millimeter
C118,000 millimeters
D 1,780.000 millimeters
Emily chose B as the correct answer. How did she get that answer?

Answers

Emily must have thought that she needed to divide 1000 by 118 which would have given her 0.118 millimeters. But her answer is wrong because you need to multiply 1,000 millimeters by 118 meters to find how many millimeters are in 118. the correct answer would have been C: 118,000 millimeters

help, Surface area of cubes and prisms

Answers

Answer:

2382

Step-by-step explanation:

You can use rectangle surface area= l × b

2×(27×21)+2×(27×13)+2×(21×13)

=2382

What is the smallest number that, when divided by 4 and 5, will yield a remainder of 2?​

Answers

Answer:

The required number is 62.

Let the required smallest number be X. We are aware that the required number is to be divided by 5, 6, 4, 3. The number leaves a remainder=2 on dividing by the aforementioned numbers.

Differentiate y = tan²x from first principle​

Answers

Answer:

[tex]y'=2sec^2(x)tan(x)[/tex]

Step-by-step explanation:

20 easy points fast ……………………….

Answers

b has infinite solutions

Please Expand the following y( y + 2)

Answers

Answer:

[tex]y^{2} + 2y[/tex]

Step-by-step explanation:

y times y is [tex]y^{2}[/tex]

2 times y is 2y


PLEASE HELP ASAP


Reginald Wallace's gross weekly salary is $515. His weekly federal withholding is $55. The Social Security tax is 6.2% of the first $97,500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay. Each week he pays $12.40 for medical insurance. How much is deducted from Reginald's weekly wages for state tax and Medicare tax?​

Answers

Answer:

$15.20

Step-by-step explanation:

Had the same question last year and found the answer in some flashcards. You can browse the question too.

distribute to create an equivalent expression with the fewest symbols possible 1/5(15+10k)=

Answers

Answer:

[tex]3+2k[/tex]

Step-by-step explanation:

[tex]\frac{1}{5}(15+10k)=\frac{1}{5}(15)+\frac{1}{5}(10k)=3+2k[/tex]

Answer:

3 + 2k

Step-by-step explanation:

Given that:

⅕ (15+10k)

Using the distributive property which is:

a × (b + c) = a × b + a × c

Which also means: Remove Parentheses

Thus we have:

⅕ (15+10k)

⇒ ⅕ × 15+⅕ ×10k

⇒ ¹⁵⁄₅ + ¹⁰ᵏ⁄₅

⇒ 3 + 2k

Hence, the answer to equivalent expression is 3 + 2k.

Kavinsky

The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35o angle of elevation. Approximately how far apart are the buildings? Round to the nearest foot.

Answers

Since the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.

The required triangle

The line of sight of the lower building to the taller building, the distance of the buldings apart, D and the height of the lower building below the taller building, h form a right angled triangle with angle Ф = 35° = angle of elevation of taller building and opposite side, h.

From trigonometric ratios, we have that

tanФ = h/D

So, D = h/tanФ

Since

h = 400 ft and Ф = 35°,Distance of building apart

Substituting the values of the variables into the equation, we have

D = h/tanФ

D = 400 ft/tan35°

D = 400 ft/0.7002

D = 571.27 ft

D ≅ 571 ft to the nearest foot

So, the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.

Learn more about distance of building apart

https://brainly.com/question/26909886

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