Work out the area of a rectangle with base,
b
= 16mm and perimeter,
P
= 52mm.

Answers

Answer 1

Answer:

A = 160 mm²

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = bh ( b is the base and h the height )

Given P = 52 and P = 2(b + h) , then

2(b + h) = 52 ( divide both sides by 2 )

b + h = 26 ( substitute b = 16 )

16 + h = 26 ( subtract 16 from both sides )

h = 10

Then

A = 16 × 10 = 160 mm²

Answer 2

Answer:

its: 160^{2}

Step-by-step explanation:

ps: (b=l)

we have  : P=2 [l+w]

and : P= 52mm

so: 52=2(16mm+w)

    52/2= 16mm+w

     26-16=w

   10=w

so: w=10

and we know that:  area= w*l

so:                          area=10*16

so:          area= 160 mm^{2}


Related Questions

Name two obtuse angles

Answers

Answer:

more than 90° or less than 180°

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Divide 1.68 by .12 to get your answer


Find the slope and the y-intercept of the graph of the linear equation.
y = 4x - 7

Answers

Slope 4
Y intercept -7
The slope is 4. The y intercept is (0,-7)

Which symbol correctly compares these fractions?

−3/5□−2/3

A. >

B. <

C. =

Answers

Step-by-step explanation:

Or are you looking for the least

Determine the largest integer value x can have the inequality below. 3(2x - 5) - 2 < 2x + 4 + x

Answers

Step-by-step explanation:

First you will have to deal with the bracket by multiplying the numbers in it by 3.Group into like terms.divide both sides by the coefficient of x.

For a quadratic in standard form f (x) = ax² + bx +e with
vertex (h,k), determine the indicated values.

Answers

For a general quadratic equation, we want to find the equations for the vertex (h, k).

The values of the vertex are:

h =  -b/(2*a) k = f(h) =  b^2/(4a) - b^2/(2a) + c

We start with the general quadratic equation:

f(x) = a*x^2 + b*x + c

To find the x-value of the vertex (h in this case) we need to find the zero of the first derivate of f(x) (because the vertex is a minimum/maximum of the function).

We have:

f'(x) = 2*a*x + b

We solve:

f'(h) = 0 = 2*a*h + b

        -b/(2*a) = h

So we just found the value of h.

To find the value of k, the y-value of the vertex, we need to evaluate the function in the x-value of the vertex, we will get:

k = f(h) = a*( -b/(2*a))^2 + b*( -b/(2*a)) + c

k = b^2/(4a) - b^2/(2a) + c

Then, concluding, we have:

h =  -b/(2*a) k = f(h) =  b^2/(4a) - b^2/(2a) + c

If you want to learn more, you can read:

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simplify a⁷ ÷ a⁴ × a⁵​

Answers

Answer: a^8

My work: a^12 divided by a^4 and got a^8

(hope this helps) :)

I need theses answer quick please! (will mark brainliest)

determine whether each pair of ratios are equivalent ratios.

1. 8/9, 72/81

2. 3/14, 21/98

3. 12/17, 50/85

Answers

Answer:

1. Equivalent

2. Equivalent

3. Not equivalent

Step-by-step explanation:

So basically for all of them you need to find a multiple for the numerator of the first fraction to see if it equals the numerator of the second fraction, and same goes for denominator.

For the first one, 8*9 is 72, and you must multiply the denominator with the same number you multiplied the numerator with, so 9*9 is 81, so it is equivalent.

HELP PLEASE WILL MARK BRAINLIEST TO BEST ANSWER

Answers

Answer:

a

Step-by-step explanation:

Answer:

c. (3x)^2

Step-by-step explanation:

Noreen can walk 1/3 of a mile in 12 minutes what is her average speed in miles per hour. (this is multiple choice)

A. 36 miles per hour
B. 12 miles per hour
C. 1/4 a mile per hour
D. 1 2/3 miles and hour

Answers

Step-by-step explanation:

1/3 mile in 12 minutes (=1/5 of an hour).

so, the speed (ratio of distance/time) is

1/3 mile / 12 minutes

the speed in mph is the converted ratio, where the denominator (bottom) is turned into 1 (hour).

what do I need to multiply 12 minutes with to get 1 hour ?

the same to multiply 1/5 with to get 1 : 5

to keep the overall value of the ratio the same I need to multiply both parts (top and bottom) of the fraction with the same value.

therefore,

1/3 / 12 × 5/5 = (1/3 × 5) / (12×5) = 5/3 / 60

so, the speed in mph is

5/3 miles / 60 minutes = 5/3 miles / 1 hour = 5/3 mph = 1 2/3 mph

D is the right answer.

Leonard owns a business earning $37,800 in profits. These profits are appreciating at about 2.3% each year. What are Leonard's profits after eight years? (2 points)
$38,383.50
$45,341.60
$31,379.67
$44,755.20

Answers

Answer:

B. $45341.60

Step-by-step explanation:

Given:

Initial profit = $37800Rate of appreciation = 2.3% per year

The equation for this:

[tex]P(t) = 37800*(1 + 0.023)^t = 37800*1.023^t[/tex]

Find the value of P(8):

[tex]P(8) = 37800*1.023^8 = 45341.60[/tex]

Correct choice is B

−3,−8,12,−15,9

find the mean

Answers

First we have to add all five numbers up then divide that total to get the mean (which is the average)
So -5 divided by 5 is -1
The mean is -1

write the following ratios in the simplest form

80cm to 2m
76 cents to 3 dollars
2h to 45 min

Answers

Answer:

1. 1600

Step-by-step explanation:

1 80*20 =1600

2. 76

Which expression is equivalent to (2x^4+8x^3-25x^2-6x+14)÷(x+6)

(1). 2x^3+4x^2+x-12 + (86/(x+6))
(2). 2x^3-4x^2-x+14
(3). 2x^3-4x^2-x + (14/(x+6))
(4). 2x^3-4x^2-x​

Answers

Answer:

Here is your Answer

(3.) 2x^3-4x^2-x + (14/(x+6))

Step-by-step explanation:

The expression for the division of polynomials is obtained as  (2x³- 4x²- x) + 14/(x + 6).

What is remainder theorem for polynomials?

The remainder theorem states that that when a polynomial p(x) is divided by another polynomial x + a, then the remainder obtained is given as the value of the polynomial at x = -a which is written as p(-a).

The given problem can be solved by remainder theorem as follows,

Suppose p(x) = 2x⁴ + 8x³- 25x²- 6x + 14.

Now, when p(x) is divided by x + 6, the remainder is given as,

p(-6) = 2 × -6⁴ + 8 × -6³ - 25 × -6² - 6 × -6 + 14

⇒ p(-6) = 14

Thus, by division lemma the following equation can be written as,

2x⁴ + 8x³- 25x²- 6x + 14 = (x + 6)(2x³- 4x²- x) + 14

⇒ (2x⁴ + 8x³- 25x²- 6x + 14) ÷ (x + 6) = (2x³- 4x²- x) + 14/(x + 6)

Hence, the equivalent expression is given as (2x³- 4x²- x) + 14/(x + 6).

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#SPJ2

when 4a - a x 3a + 7a is simplified it is equivalent to?

Answers

Answer: -3a^2 + 11a

Step-by-step explanation:

4a - (a x 3a) + 7a - Multiply first to get 4a - 3a^2 + 7a

4a - 3a^2 + 7a - Add like terms (a terms) to get -3a^2 + 11a

So the answer in -3a^2 + 11a

a watermelon is thrown down from the 7th floor of urey hall at ucsd. if the initial height of the watermelon is 21.0 meters, and it is thrown straight downward with an initial downward velocity of 3.00 m/s. how far will the watermelon have fallen from its starting height after 1.50 seconds?

Answers

Answer:

The watermelon has fallen 15.53625m

Step-by-step explanation:

x=vi*t+.5*a*t^2

x=3*1.5+.5*9.81*1.5^2

x=15.53625m

The answer would be 15.5

Drag and drop the fractions to order them from least to greatest. -3/7 1/4 -4/5 2/3

Answers

Answer:

-4/5, -3/7, 1/4, 2/3

Step-by-step explanation:

The last one is the greatest as a positive but because it's both the greatest positive but a negative it is the smallest. Since 2/3 is closest to 1 and is positive it would be the greatest. -3/7 is a smaller value than 1/4 as it's closer to 0 than 1/4 is.

-4/5, -3/7, 1/4, 2/3

I just turned them into decimals and sorted it.
-4/5 = -0.80
-3/7 = -0.42
1/4 = 0.25
2/3 = 0.67
But you can also infer without converting. -4/5 is closer to being a whole since there are 4 “pieces” out of 5, so only 1 piece left. -3/7 is farther because 4 pieces left. Same with the positive numbers. But this method doesn’t always work because some pieces can be bigger than others like 9/10 (0.90) and 5/6 (0.83)

20 days to 2 weeks ratio

Answers

Answer:

20:14 = 10:7

Step-by-step explanation:

A week is equal to 7 days

2 weeks is equal to 2*7 = 14 days

Answer:

20 : 14

Step-by-step explanation:

Since there are 20 days, convert 2 weeks into days, (7 x 2), and you get 14.

Helppp please I will mark brainiest

Answers

Answer:

number 1

Step-by-step explanation:

read the qeustion again

helpp!!! plz!!!!!!!!!!!

Answers

odd; positive because the line goes up

A rectangular farm has an area of 5/8 square miles. If its length is 1/9 miles, what is its width?

Answers

45/8 or 5 5/8

5/8 divided by 1/9 - 5/8 x 9/1

The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. What is the height of the statue?

Answers

Answer: 150 + 3 = 150

Step-by-step explanation: The statue of liberty is approximately 150 feet tall from the base to the tip of the torch. A scale model is built that is 3 feet tall.

The cargo of the truck weighs no more than 2,600 pounds.
Use w to represent the weight (in pounds) of the cargo.

Answers

Answer:

w ≤ 2,600

Step-by-step explanation:

w is less than or equal to 2,600

PLEASEE HELP WILL MARK YOU BRAINLIEST

Answers

-(6y-4)+(6y-4)-(-2)
= -6y+4+6y-4+2
= 2

30) x/4 = 9

31) a/5 = 7

32) n/3 = 29

33) n/3 = 10

34) y/5 = 24

35) b/9 = 15

36) n/7 = 17

37) x/3 = 8

38) y/5 = 33

39) e/36 = 5

40) a/25 = 4

41) b/16 = 7

Answers

Answer:

30). x=36

(31). a=35

32. n=104

33. n=30

34. y=120

35. b=135

Step-by-step explanation:

x/4=9

cross multiply

x=4×9

x=36

a/5=7

cross multiply

x=5×7

x=35

(repeat thesame steps over and over)

\frac{5+p}{9}<-1

Can someone help me find how to solve this?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5+p}{9} <-1\\5+p<-9\\p<-9-5\\p<-14[/tex]

I need an explanation on how to do this one

Answers

ok!

to find mean, add all of the numbers, and divide that by how many numbers you have.

for example:

number 7 on your paper (8,9,10,15,28)

add those numbers together to get: 70

then divide 70 by 5 (since that's how many numbers there are in the problem) to get: 14

to get median write out all the numbers from least to greatest like you've done and find the middle number by marking off a number from the side each time then you will get: 10

to find mode you just write the number that appears the most. since there are no repeating numbers in your problem, theres no mode.

to find range you subtract the smallest number from the largest number in the problem.

so in your case, it would be 28-8

your range would be: 20

HELP PLSSSSSSSSSSSSS

Answers

The 80 degree part is corresponding to 2x so use a one step equation for that one, 80=2x 80/2= 40, x=40. The two lines are parallel so they are equal, using another one step equation 80=5y, 80/5=16 y=16. For the next one 30 and w are perpendicular to the right angle beside it so 90-30= 60, w=60. 3y and x are on a supplementary angle so 180= 3y, y=60, 180-60=90, z=90, 5x+4=90-4=86/5=17.2, x=17.2

Heathers rabbit has a mass of 5.190 kilograms. Jeff's rabbit has a mass of 5.195 kilograms.Write and inequality statement comparing the masses of the rabbits

Answers

Answer:

5.190 < 5.195

Step-by-step explanation:

5.195 is bigger than 5.190, so 5.195>5.190

Heather does not have 5.190 kg she has something else

what is the aswer ??????​

Answers

Answer:

A prime number is one which can be divided only by itself

please give brainliest

Answer:

The correct statement is A prime number are numbers which have only two factor.

Explanation:

Hope it helps you..

Your welcome in advance..

(ㆁωㆁ)

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