the length of a rectangle is 10 cm and its width is 2 cm less than 1/2 of its length. find the area of the rectangle​

Answers

Answer 1

Answer:

A=wl=3·10=30

A=30

Step-by-step explanation:


Related Questions

|x+3/4|= 5 6/7 please help with this question from 6.2 russian mathemetics school

Answers

Answer:

143/28 or -185/28

Step-by-step explanation:

Negative case

-(x+3/4))=(41/7)

-x-(3/4)=(41/7)

-x=(185/28)

x=-(185/28)

Positive case

(x+(3/4))=(41/7)

x=(143/28)

lol this was easy r u sure its 6 grade?

Answer:

143/28 or -185/28

Allowing 20% discount on the marked price if a watch, the value of the watch will be Rs. 2376. If the VAT of 10% is added, find its marked price.

Ans: Rs. 2700​

Answers

original price be x

x-0.2x=23760.8x=2376x=2970

VAT 10%

So new price is 10% less

2970-0.10(2970)2970-297Rs 2673≈2700

Historians have commonly believed that paint used before the year 1500 did not contain copper. However, lab techniques have shown that copper is present in the paint of both the Mona Lisa painted by Leonardo da Vinci (1452-1519), a widely-renowned and timeless piece that is one of the most valuable pieces in the Louvre today, and in that of another painting known as the Sine Nomine, also from the same time period, whose painter is unknown—but not found in the paint of any other Renaissance painting analyzed. This is strong evidence that the Sine Nomine was painted by da Vinci, as well as evidence that the presence of copper in the paint of a recently resurfaced map by Fra Mauro, ostensibly from the year 1450, cannot be used as an argument against the map's authenticity.

The reasoning in the passage is vulnerable to criticism on the grounds that:

A) both the Sine Nomine and the Fra Mauro Map are objects that can be appreciated on their own merits whether or not the precise date of their creation or the identity of the person who made them is known
B) it is unreasonable to suppose that determination of the date and location of an art piece’s painting or drawing can be made solely on the basis of the presence or absence of a single element in the paint used in the document
C) the results of the analysis are interpreted as indicating that the use of copper as an ingredient in fifteenth-century paint both was, and was not, extremely restricted
D) the discovery of copper in the paint of the Fra Mauro Map must have occurred before copper was discovered in the paint of the Sine Nomine and Mona Lisa
E)if the technology that makes it possible to detect copper in paint has only recently become available, it is unlikely that cartographers or artists in the fifteenth century would know whether their paint contained copper or not

Answers

The reasoning in this text is vulnerable to criticism because works such as Sine Nomine and the map can be appreciated on their own (option A).

What is the reasoning behind this text?

The author of this text explains copper has been found in the Mona Lisa painting by Da Vinci that dates back to 1450. This evidence is used to conclude a similar painting known as the Sine Nomine belongs to the same painting and that a similar map belongs to the same period.

What is the problem with this reasoning?

The reasoning fails at considering each artwork is unique and can be appreciated on its own without jumping to conclusions about the period and author of them.

Learn more about reasoning in: https://brainly.com/question/11478756

Mr. Sanchez’s class sold fruit pies for $1.73 each and Mr. Kelly’s class sold bottles of fruit juice for $1.44 each. Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations that models this problem.

Answers

The system of equation that models the problem is as follows;

x + y = 83

1.73x + 1.44y = 130.83

The number of fruit pies sold is 44 and the number of fruit juice sold is 39.

How to solve a system of equation that models a problem?

Mr Sanchez class sold fruit pies for $1.73 each and Mr Kelly's class sold bottles of fruit juice for $1.44 each.

Therefore,

let

x = number of fruit pies sold

y = number of fruit juice sold

Together, the class sold 83 items. Therefore,

x + y = 83

They sold a total of $130.83. Therefore,

1.73x + 1.44y = 130.83

x + y = 83

1.73x + 1.44y = 130.83

1.73x + 1.73x = 143.59

1.73x + 1.44y = 130.83

0.29x = 12.76

x = 12.76 / 0.29

x = 44

Therefore,

y = 83 - 44

y = 39

learn more on system of equation here: https://brainly.com/question/13958134

Toni is 30 inches less than twice Jordan's height. Toni is 66 inches tall. How tall is Jordan?

Answers

Answer:

96 inches

Step-by-step explanation:

66 + 30 = 96

Stacy is making a scale model of the Eiffel Tower for French class. Her model is 500 times smaller than the actual tower, which is 300 meters tall. How many millimeters tall is Stacy's model?

Answers

Answer: 600 mm

Step-by-step explanation:

Let height of her model be x meters

So,

500x = 300

[tex]\begin{aligned}&\rightarrow x=\frac{300}{500} \\&\rightarrow x=\frac{3}{5}=0.6 \text { meters } \\&\rightarrow x=0.6 \times 1000 \text { millimeters } \\&\rightarrow x=600 \text { millimeters }\end{aligned}[/tex]

Therefore, Stacy's model is 600 millimeters tall

When a certain number is divided by 20, the result is same when number is decreased by 361. What is the number?

Answers

Answer:

The number is 380

Step-by-step explanation:

Let the number be 'x'

[tex]\sf \dfrac{x}{20}=x-361\\\\\text{multiply the entire equation by 20}\\\\20*\dfrac{x}{20}=20*(x-361)[/tex]

x  = 20x - 20*361

x = 20x - 7220

Now subtract '02x' from both sides

x - 20x = -7220

  -19x   =-7220

Divide both sides by (-19)

     x = (-7220) ÷ (-19)

    x = 380

The sum of squares of lengths of the two sides of a rectangular field is 25m2.Their difference is 1m .what is the length of each side of the field

Answers

Answer:

Perimeter of a rectangle = 2×(Length+Breadth)

(i) Length = 16.8 cm

Breadth = 6.2 cm

Perimeter = 2×(Length+Breadth)

= 2×(16.8+6.2) =46 cm

(ii) Length = 2 m 25 cm

=(200+25) cm (1 m = 100 cm )

= 225 cm

Breadth =1 m 50 cm

= (100+50) cm (1 m = 100 cm )

= 150 cm

Perimeter = 2×(Length+Breadth)

= 2×(225+150) =750 cm

(iii) Length = 8 m 5 dm

= (80+5) dm (1 m = 10 dm )

= 85 dm

Breadth = 6 m 8 dm

= (60+8) dm (1 m = 10 dm )

= 68 dm

Perimeter = 2×(Length+Breadth)

= 2×(85+68) =306

Find the simple Intrest for
​$ 2000 at 4​% for 3 months

Answers

Answer:

Simple interest: 240, Final amount: 2240

hope im right

Step-by-step explanation:

3. Evaluate the following:
a.) What value of Syields the coordinate point (1, 3)?
b.) What value of Syields the coordinate point (3, 1)?
c.) x(710)=
d.) y(V10+ V5)= = B С
e.) x(2)=
f.) y(2.5)= ​

Answers

Answer: See below

Step-by-step explanation:

Question 3:

[tex]a) \ $S=1$ \ yields \ $(1,3)$ \\ \\b) \ $S=3$ \ yields \ $(3,1)$ \\ \\ c) \ $x(\sqrt{10})=\sqrt{10}$ \\ \\d) $y(\sqrt{10}+\sqrt{5})=1$ \\ \\e) $x(2)=2$ \\ \\f) $y(2,5)=1$ \\[/tex]

Challenge:

[tex]\begin{aligned}&x(s)=s \quad ,s \in[0,4] \\&y(s)=\left\{\begin{array}{cc}3 s & , s \in[0,1] \\5-2 s &, s \in[1,2] \\1 & s \in[2,4]\end{array}\right.\end{aligned}[/tex]

A workplace gave an “Employee Culture Survey” in which 500 employees rated their agreement with the statement, “I feel respected by those I work for.”The relative frequency of people who strongly agree with the statement is

Answers

Supposing that 400 people agree with this sentiment, the relative frequency is of 0.8.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we suppose that out of 500 employees, 400 agree with the sentiment, hence the relative frequency is given by:

p = 400/500 = 0.8.

More can be learned about relative frequencies at https://brainly.com/question/14398287

Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
3.145
1.824
+ 7.769

Answers

Answer:

12.738

rounded to the nearest hundred is 12.74

A spherical balloon has a 16-in diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere.
a. Find the volume of the fully-inflated balloon.
b. Find the volume of the half-inflated balloon
c. What is the radius of the half-inflated balloon?

Answers

Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches

Help with tthis photo pls T.T ​

Answers

[tex]\bold{FULL ANSWERS:}[/tex]

Answer:

1. False

2. Not sure

3. True

Statement A

A = bh/2

34 = (10)h/2

68/10 = h

h = 6.8

FALSE The actual height of the triangle is the hypotenuse of the fake outer triangle. 6.8 is not used to calculate the area.

Statement B

A = (d1 + d2)/2

56 = (d1 + d2)/2

112 = d1 + d2

I have no idea for this one. There is no way that I know of to verify the area if I don't have at least one diagonal.  

Statement C

A = (a + b)(h)/2

24 = (7 + 9)(3)/2

48 = (7 + 9)(3)

16 = 7 + 9

16 = 16

TRUE Area of the trapezoid = 24 in².

Classify each of the following lines as parallel, transversal or perpendicular.

Answers

Answer:

5. Perpendicular

6. Parallel

7. Transversal

8. Perpendicular

9. Parallel

10.Transversal

Step-by-step explanation:

Simplify the expression. Write your answer as a power.
The simplified expression is

Answers

Because the 10+4= 14
therefore
8^14

can anyone help with this?

Answers

Answer:

It's a 270 degree rotation or -90 degree rotation there the same thing all the other answer choices are wrong besides 270 degree rotation.

Step-by-step explanation:

Traveling in a fried-out Kombi

On a hippie trail, head full of zombie

I met a strange lady, she made me nervous

She took me in and gave me breakfast

And she said

Do you come from a land down under?

Where women glow and men plunder?

Can't you hear, can't you hear the thunder?

You better run, you better take cover

Buying bread from a man in Brussels

He was six-foot-four and full of muscle

I said, "Do you speak-a my language?"

He just smiled and gave me a Vegemite sandwich

And he said

I come from a land down under

Where beer does flow and men chunder

Can't you hear, can't you hear the thunder?

You better run, you better take cover, yeah

Lyin' in a den in Bombay

With a slack jaw, and not much to say

I said to the man, "Are you trying to tempt me

Because I come from the land of plenty?"

And he said

Oh, you come from a land down under? (Ooh, yeah, yeah)

Where women glow and men plunder?

Can't you hear, can't you hear the thunder?

You better run, you better take cover ('cause we are)

Living in a land down under

Where women glow and men plunder

(Can't you hear thunder) can't you hear, can't you hear the thunder?

You better run, you better take cover

Living in a land down under

Where women glow and men plunder

Can't you hear, can't you hear the thunder? (Ooh yeah)

Better run, you better take cover (we are)

Living in a land down under (ooh yeah)

Where women glow and men plunder

Can't you, can't you hear the thunder?

Better run, you better take cover

Living in a land down under (living in a land down under)

Where women glow and men plunder

Can't you, can't you hear the thunder?

I WILL GIVE BRAINLY
Rectangle ABCD is plotted on a coordinate plane. The coordinates of A are (2, 3) and the coordinates of B are (– 2, 3). Each unit on the coordinate plane represents 3 centimeters, and the perimeter of Rectangle ABCD is 48 centimeters. Find the coordinates of Points C and D given these conditions:aPoints C and D are below Points A and B.bPoints C and D are above Points A and B.7Rectangle PQRS is plotted on a coordinate plane.

Answers

mark as brainliest please :)

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

the answer is -4

Step-by-step explanation:

you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.

7
.
Marisela wants to create a trophy in the shape of a rectangular
pyramid with volume 0.1875 cubic foot. Complete the descriptions
by writing in the missing measurements. 7.6.6
Design #1: pyramid height = 1.5 ft; base width = 0.75 ft;

Answers

Answer:

Volume of a rectangular pyramid:

[tex]V=\dfrac13lwh[/tex]

where:

[tex]V[/tex] = volume[tex]l[/tex] = length of base[tex]w[/tex] = width of base[tex]h[/tex] = height

Given:

[tex]V[/tex] = 0.1875 ft³[tex]w[/tex] = 0.75 ft[tex]h[/tex] = 1.5 ft

Substitute given values into the formula and solve for [tex]l[/tex]:

[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]

[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]

[tex]\implies 0.1875=0.375 l[/tex]

[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]

[tex]\implies l=0.5[/tex]

Therefore, the base length is 0.5 ft

Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of radius 3.
On = 31/2,w=
- 3/2
On - 3√2, w = 3/2
Oh = 12, w = 312
W
Oh=312. W = 2

Answers

The dimensions to maximize the area must be:

length =  (√3)/2width =  (√3)/2

How to get the dimensions of the rectangle?

The rectangle with the largest area that can be inscribed on a circle of radius 3, will be a rectangle whose diagonal is equal to the diameter of the circle, so we have:

√(x + y) = 6 units.

Where x and y are the dimensions of the rectangle. We also must have that:

x < 6 unitsy < 6 units.

Now, because we have limits, the largest area (which is the product of x and y) happens when x and y have the same value x = y, then we have:

√(x + x) = 6 units.

√(2x) = 6 units.

x = (√3)/2 = y

So the rectangle is actually a square of side length =  (√3)/2

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081

help me please



I couldn't solve it​

Answers

[tex]\text{L.H.S}\\\\=\dfrac{\sin^4 A - \cos^4 A}{ \sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A)^2-(\cos^2 A)^2}{\sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A + \cos^2 A)(\sin^2 A-\cos^2 A)}{\sin A + \cos A}\\\\\\=\dfrac{1\cdot(\sin A+\cos A)(\sin A - \cos A)}{\sin A +\cos A}\\\\\\=\sin A - \cos A\\\\\\=\text{R.H.S}~~~ \\\\\text{Proved.}[/tex]

Answer:

heya! ^^

[tex] \\ \frac{ \sin {}^{4} (A) - \cos {}^{4} (A) }{ (\sin \: A + \cos \: A) } = ( \: sin \: A\: - \: cos \: A \: )\\[/tex]

[tex] \\LHS = \frac{ \sin {}^{4} (A) - \cos {}^{4} (A) }{ (\sin \: A + \cos \: A) } \\ \\ \frac{( \sin {}^{2} \: A + \cos {}^{2} \: A)( \sin {}^{2} A - \cos {}^{2} A) }{ (\sin \: A + \cos \: A) } \\ \\ we \: know \: that \: - \: sin {}^{2} A + cos {}^{2} A = 1 \\ \\ \therefore \: \frac{(1)(\sin {}^{2} \: A - \cos {}^{2} \: A)}{(\sin \: A + \cos \: A)} [/tex]

now , we're well aware of the algebraic identity -

[tex]a {}^{2} - b {}^{2} = (a + b)(a - b)[/tex]

using the identity in the equation above ,

[tex]\dashrightarrow \: \frac{(sin \:A - \: cos \: A)\cancel{(sin \:A + \: cos \: A )}}{\cancel{(sin \: A\: + \: cos \: A)}} \\ \\ \dashrightarrow \: (sin \: A \: - \: cos \: A) = RHS[/tex]

hence , proved ~

hope helpful :D

Select the correct answer.
What are the roots of this quadratic equation?

help

Answers

Answer:

A

Step-by-step explanation:

I took the test it was right

Help plsss its an emergency

Answers

Answer:

-8.05E14

Step-by-step explanation:

If you arent familiar with E notation it means the same thing as [tex]10^x[/tex] where x is the number proceeding the E

​Out-of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2573e^0.0359x models average annual expenditures per​ household, in dollars. In this​ model, x represents the​ year, where x = 0 corresponds to 2003 .
​(a) Estimate​ out-of-pocket household spending on health care in 2008 .
​(b) Determine the year when spending reached ​$2783 per household.

Answers

Answer:

(a) The total expenditures per household in the year 2008 were approximately $3,080.

(b) The spending reached $2875 per household in 2006.

Step-by-step explanation:

Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:

Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.

(a) Estimate out-of-pocket household spending on health care in 2008.

(b) Determine the year when spending reached $2875 per household

The explanation to the answer is now given as follows:

(a) Estimate out-of-pocket household spending on health care in 2008.

Given;

f(x) = 2574e^(0.0359x) ........................ (1)

Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.

Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:

f(6) = 2574e^(0.0359 * 5)

f(6) = 2574 * 1.19661890406748

f(6) = 3,080.09705906969

Rounding to the nearest dollar as needed, we have:

f(6) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b) Determine the year when spending reached $2875 per household

This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:

2875 = 2574e^(0.0359x)

2875 /2574 = e^(0.0359x)

1.11693861693862 = e^(0.0359x)

Taking the natural log of both sides, we have:

ln(1.11693861693862) = ln(e^(0.0359x))

0.110591565075382 = 0.0359x

x = 0.110591565075382 / 0.0359

x = 3.0805449881722

Approximating to a whole number, we have:

x = 3

Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

) Find the value of b for which 50y +150 is a factor of y3 – by2 +by+3b. ​

Answers

[tex]f(y) = y^3-by^2+by+3b\\\\\text{Since 50y+150 is a factor of f(y), }\\\\~~~~~f\left ( -\dfrac{150}{50}\right) = 0 \\\\\implies f(-3)=0 \\\\\implies (-3)^3 -b(-3)^2+b(-3)+3b =0\\\\\implies -27-9b-3b+3b=0\\\\\implies -27-9b =0\\\\\implies 9b = -27\\\\\implies b = -\dfrac{27}9\\\\\implies b = -3[/tex]

To measure the height of the Washington Monument, a student 5.5 ft tall measures his shadow to be 4.25 ft. At the same time of day, he measured the shadow of the Washington Monument to be 430 ft
long. Use a calculator to estimate the height of the monument to the nearest foot.
The Washington Monument is approximately ________ft tall?

Answers

Answer:

OK, Well to solve this first,

Set up a ratio:

height of the student/student shadow length = height of the monument/monument shadow length

height of the monument = x

6ft./4.75ft =  x/435ft.

cross multtiply

6 * 435 = 4.75x

2610 = 4.75x

divide by 4.75 to both sides

2610/4.75 = 4.75x/4.75

549.47 = x

There you go Slide Brainliest Please

Step-by-step explanation:

Pls help asap, have a great day

find, w: x: y: z:

Answers

Answer:

See below ↓

Step-by-step explanation:

Finding w and x [both are equal]

Take the cos function of one of the 45° angles, which is the ratio of the adjacent side to the hypotenusecos(45°) = [tex]\frac{1}{\sqrt{2} } = \frac{w}{6}[/tex]⇒ w = [tex]\frac{6}{\sqrt{2} } = \frac{6}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } = \frac{6\sqrt{2} }{2}[/tex]⇒ w = 3√2 and x = 3√2

Finding y

Take the cos ratio of the 60° angle to find ycos(60°) = [tex]\frac{1}{2} = \frac{y}{x} = \frac{y}{3\sqrt{2} }[/tex]⇒ y = [tex]\frac{3\sqrt{2} }{2}[/tex]

Finding z

Take the sin ratio of 60° angle of the triangle, which is the ratio of the opposite side to the hypotenusesin(60°) = [tex]\frac{\sqrt{3} }{2}= \frac{z}{x} = \frac{z}{3\sqrt{2} }[/tex]⇒ z = [tex]\frac{3\sqrt{6} }{2}[/tex]

Find the decimal expansion for 5/12

Answers

Hmmm I believe it would be 0.4167

Answer:

Answer would be 0.4166666667

Step-by-step explanation:

The area of the circle

Answers

Answer:

The answer would be 201.06

Step-by-step explanation:1. You need to have the radius and not the diameter so you would divide 16 by 2 to get 8.
2. You would plug 8 into the formula A=π[tex]r^{2}[/tex], meaning it would be A=π[tex]8^{2}[/tex]
3. 8 Squared is equal to 64 so the formula would now be A=π64
4. 64 x π = 201.06 giving you your final answer.
I hope that helps!

Answer:

200.96 mi²

Step-by-step explanation:

Before, finding the area of the circle, first, let us find the radius.

Given that,

diameter ( d ) ⇒ 16 mi

Let us use the below formula to find the radius of the circle.

d = 2r

16 = 2r

Divide both sides by 2.

8 mi = r

And let us find the area of the circle using the below formula.

A = π r²

A = π × 8 × 8

A = 3.14 × 64

A = 200.96 mi²

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