Mathematics High School

The length of a rectangle is triple the width. The perimeter is 54 m. Find the dimensions of the rectangle

Answers

Answer 1

Answer:

W = 6.75

L = 20.25

Step-by-step explanation:

2(w + 3w) = 54

8w = 54

w = 6.75

L = 20.25

Related Questions

Find the area of the trapezoid.

Answers

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

What is a trapezoid?

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

b = 19 in

h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

Learn more about the trapezoid here:

https://brainly.com/question/4758162

Which of the following is true?

A. 3 gram > 3000 kilograms
B. 3000 grams = 3 kilograms
C. 300 grams > 30 kilograms
D .30 grams < 0.003 kilograms

Answers

Answer: B

Because 3 kilograms = 3,000 and 3,000 kilograms = 3,000 grams

What is an equation of a circle whose center is (1,4) and diameter is 10?

Question options:

x2 − 2x + y2 − 8y = 83

x2 − 2x + y2 − 8y = 8

x2 + 2x + y2 + 8y = 8

x2 + 2x + y2 + 8y = 83

Answers

Answer:

[tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

Step-by-step explanation:

Standard form for a circle is:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex] (h, k) is the center r is the radius

[tex](x - 1)^{2} + (y - 4)^{2} = 5^{2} \\x^{2} - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2} - 2x + y^{2} - 8y = 8[/tex][tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

PLS ANSWER QUICK MY ASSIGNMENT IS DUE TOMORROW WILL MARK BRAINLIEST!! 15pts
Which of the lists of letters all have line symmetry?
a. A,B,C,D
b. W,X,Y,Z
c. L,M,N,O
d. S,T,U,V

Answers

Answer:

Step-by-step explanation:

when you slice them in half you get the same thing, example W, when slice you get two V V

Answer:

I go with choice a

Step-by-step explanation:

a) A,B,C,D they all have a line of symmetry

If "a" is a positive integer, what is the mean of the data below?
{2a, 3a, 3a, 8a}

Answers

Answer:

mean = sum of all element / number of elements

mean = (2a + 3a +3a +8a) / 4

mean = 16a/4

mean =4a

Enter 14% as a fraction in simplest form.

Answers

Answer:

0.14 or 7/50

Step-by-step explanation:

Figure out $27 x 4 = n.

Answers

well 27 times 4 is 108 hope that helped

Answer:

$108

Step-by-step explanation:

20x4 = 80

7x 4 = 28

80+28 = 108

A. 4 m
B. 5 m
C. 6 m
D. 8 m

Answers

Answer:

Find the missing side of the rectangle, use Pythagorean:

b² = 25² - 7² = 576b = √576 = 24 units

Find area of rectangle:

A = abA = 7*24 = 168 units²

Correct choice is A

Help me plz, thank u! :))))

Answers

Answer: twice 31 and 13 = 75

Step-by-step explanation: 31 + 31 = 62 + 13 = 75

7 plus a number z is more than 5

Answers

Answer:

z > -2

Step-by-step explanation:

7 + z > 5

subtract 7 from each side of the equation:

z > -2

The inequality for the given phrase is z+7>5.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given phrase is "7 plus a number z is more than 5".

Here, 7 plus a number z is

7+z

The obtained sum is more than 5.

That, is z+7>5

Subtract 7 on both the sides of an inequality, we get

z+7-7>5-7

z>-2

Therefore, the inequality is z+7>5.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

An art teacher makes a batch of paint by mixing cup paint with cup paint. If she mixes batches, how many cups of paint will she have? The teacher will make nothing cups of paint.

Answers

Answer: 19 ¹/₂ cups of purple paint

Step-by-step explanation:

First find out the quantity of purple pain that she has:

= 3/4 + 3/4

= 6/4 cups of paint.

If she mixes 13 batches, the cups of purple paint she will have will be the original number multiplied by 13

= 6/4 * 13

= 78/4

= 19 ¹/₂ cups of purple paint

I went to the grocery store and my subtotal was $78.00. There is a 4.5% sales tax.How much is my total grocery bill including tax

Answers

i think 81.51 probably

Answer:

81.51

Step-by-step explanation:

So first you will want to take the percentage of the $78.00.

What we do is multiply 78.00 by 0.045

which is 4.5%

You then get $3.51

Add that to the $78.00:

78.00 + 3.51

= $81.51

Number of boys number of girls 11:9 there is 124 more boys than girls work out the number of students at the school

Answers

Answer:

1240

Step-by-step explanation:

Number of boys to a girl is

x:y= 11:9

9x= 11y

There are 124 more boys in the schooll than girls

x= 124+y

Substitute 124+y for x

9(124+y)= 11y

1116+9y= 11y

1116= 11y-9y

1116= 2y

y= 1116/2

y= 558

Number of girls is 558

The number of boys can be calculated as follows

= 558+124

= 682

Hence the total number of students is

= 682+558

= 1240

0 to 50m/s in 10s. What's the acceleration?

Answers

Answer:

v = 50m/s

u = 0

a = v-u/t = 50/10= 5m/s²

Marissa earns $120 per week working part time at a local bakery.

part A:
what are her deductible if 25% is take out for taxes

part B:
what is the amount of her paycheck after deductions

Answers

It will be 3 because of you do 25 percent and of 120 it will be condu Fred as three

HELP ME PLEASE..... i really need it asap

Answers

Answer: Buying the 5 tickets to the next hockey game is better because the unit price is only 16$

Step-by-step explanation:

80 / 5 = 16

50 / 3 = 16.666

Which inequality represents the situation? The maximum weight, w, an elevator can lift is 2,200 pounds. w ≥ 2,200 w > 2,200 w ≤ 2,200 w < 2,200

Answers

Answer:

w ≤ 2200

Step-by-step explanation:

If a lift can lift a maximum weight of 2200pounds, this means that the lift can not life a weight greater than 2200pounds. For the expression needed, the inequality sign to use will be a less than or equal to sign( ≤ ).

Hence the requires inequality expression will be w ≤ 2200

What is the area of the triangle

Answers

area is base x height divide by 2
5 in x 1 ft = 5 ft in
divide by 2 is 2.5 ft in

Answer:

30 inches squared

Step-by-step explanation:

The formula for a RIGHT triangle is:

[tex]A= \frac{ab}{2}[/tex]

We are given..

a = 5 inchesb = 1 foot = 12 inches

Therefore...

[tex]A = \frac{5(12)}{2}[/tex]

[tex]A=\frac{60}{2}[/tex]

[tex]A = 30[/tex]

Solve the system of equations without graphing. Show your reasoning.

Literally help.

Answers

Answer:

- x+2y= - 4

2y= - x - 4

Y=x-4/2

Y=x-2

Now, 2nd equation

4x+3y=5

4x+3.x-2=5

4x+3x-2=5

7x-2=5

7x=5+2

x=5+2/7

x=7/7

x=1

Now, continue with 1st equation

y=x-2

y=1-2

y=1

Therefore x=1

And

y=1

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