a rectangle has an area of 30 square meter and a perimeter of 34 meters. what are the dimensions of rectangle?

Answers

Answer 1

Answer: $A=lw$
$P=2l+2w$

$30=lw$
$34=2l+2w$

$30=lw$ --> $w= (30)/(l)$

$34=2l+2( (30)/(l)) \n 34=2l+ (60)/(l) \n 34l=2l^2+60 \n 2l^2-34l+60=0 \n 2(l-2)(l-15)=0 \n l=2, 15$

$30=(2)w$
$15=w$

$30=(15)w$
$2=w$

The dimensions can either be 15 x 2 or 2 x 15.

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Peter uses unit cubes to build a figure in the shape of letterX.What is the fewest unit cubes that Peter can use to build the figure

Answers

5 unit cubes you would put them corner to corner like this:
X. X
X
X. X

Hope this helps!

I agree. Five cubes. x x
x
x x

Celia filled the glasses shown below completely with water. The total amount of water that Celia poured into the glasses is 80 cubic centimeters. What is the height of glass 1? Round your answer to the nearest tenth. (Use π = 3.14.) A: 2.6 centimeters
B: 4.8 centimeters
C: 5.6 centimeters
D: 7.6 centimeters
If anyone could help me, that would be great! This is the only question I'm actually stuck on.

Answers

The height of glass 1 which in cylindrical in shape is 7.6centimeters. Since the total volume of water added by Celia is 100 cubiccentimeter, and the volume of glass 2 is 26.4 cubic centimeter which is aconical in shape. Subtracting the volume of glass 2 from the total volume glass1 can be calculated and its height.

Answer:

D: 7.6 centimeters

Step-by-step explanation:

How to answer the first question

Answers

The perimeter is the outside of the shape, or in other words the total length of the sides. So if you count the total number of sides you get a perimeter of 16 units (assuming one block length is one unit)

Bob has $150 in his savings account and saves $40 a month. Andrea has only $100 in her account but saves at a rate of $50 a month. When will Andrea have saved more than Bob?

Answers

$150+40x=100+50x$

$50=10x$

$x=5$

Andrea will have saved more than bob after $5$ months.

Hope this helped

Ana buys a sweater for $25.60, and it is on sale for 35% off. What is the amount of the discount?

Answers

35 percent times 25.60 equals to 8.96
25.60 minus 8.96 is 16.64

the amount of the discount is 16.64

Hey, Anayaaa!
35*25.60=8.96
25.60-8.96=16.64

Discount=$16.64
I hope this helps;)

18= 3/4d + 6
I keep getting that d=9 but it doesn't check right plz help

Answers

18 = 3/4d + 6

First, we can start out by making our goal to get the variable (d) by itself on one side. Let's begin by simplifying the fraction and the variable with each other.
$18 = (3d)/(4)$

Second, we can now start our journey to get the variable by itself. Subtract 6 from each side.
$18 - 6 = (3d)/(4)$

Third, let's subtract 18 - 6 to get 12.
$12 = (3d)/(4)$

Fourth, let's continue by multiplying both sides by 4.
$12 * 4 = 3d$

Fifth, we can now multiply 12 times 4 to get 48. This can be done by using a calculator, etc.
$48 = 3d$

Sixth, we can divide each side by 3. We officially got the variable (d) by itself, so our goal is completed and all we need to do is simplify our fraction we just got.
$(48)/(3) = d$

Seventh, our last step is to simplify our fraction. In simpler words, what multiples with 3 to equal 48? (3 times 16 = 48), so 48 is our answer. We can also switch sides.
$d = 16$

Answer: $\fbox {d = 16}$

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