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

Answers

Answer 1

Answer: $The\ rectangle:a\ *\ b\n\n \left\{\begin{array}{ccc}ab=30\n2a+2b=34&/:2\end{array}\right\n\n\left\{\begin{array}{ccc}ab=30\na+b=17\end{array}\right\n\n\left\{\begin{array}{ccc}ab=30\na=17-b\end{array}\right\n\nsubstitute:\n\n(17-b)b=30$

$-b^2+17b-30=0\n\na=-1;\ b=17;\ c=-30\n\n\Delta=b^2-4ac\n\n\Delta=17^2-4\cdot(-1)\cdot(-30)=289-120=169;\ \sqrt\Delta=√(169)=13\n\nb_1=(-17-13)/(2\cdot(-1))=(-30)/(-2)=15;\ b_2=(-17+13)/(2\cdot(-1))=(-4)/(-2)=2\n\na_1=17-15=2;\ a_2=17-2=15\n\nAnswer:The\ rectangle:15m\ *\ 2m.$

Answer 2

Answer:

Answer:

15m x2m

Step-by-step explanation:

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Which is greater 100 fl oz or 16 pt

Answers

16 pts is equal to 256 fluid ounces,which means that 16 pints is greater than 100 fl ^_^/ hope this help you out!

100 fluid ounces is greater than 16 pt

A radio station broadcasts asignal over an area with a radius of 50
miles. The station can relay the signal and
broadcast over an area with a radius of
75 miles. How much greater is the area of
the broadcast region when the signal is
relayed? Round your answer to the nearest
square mile.

Answers

25miles squared I think

Scientific notation of 0.000105

Answers

1.05 * 10^-4 is the answer. When you move the decimal to the right the power is negative. Also, there needs to be at least one number in front of the decimal to make it a scientific notation.

Can someone please help me out here? Math is literally my weakest subject.

Answers

Dam Daniel!!! That book report tho....
Ok, Annika's Decreases, and Pedros Slightly Increases, the median is 32 for Annika, 35.5 median for Pedro.

The sum of two numbers is 92. their difference is 20. find the 2 numbers

Answers

The two numbers in question obtained by creating a system of equations are 56 and 36

Let the two numbers be : a and b

a + b = 92 ___(1)
a - b = 20.___(2)

From (2):

a = 20 + b. ____(3)

Substitute (3) into (1)

a + b = 92

20 + b + b = 92

20 + 2b = 92

2b = 92 - 20

2b = 72

b = 72/2

b = 36

From (3) :

a = 20 + 36

a = 56

Therefore, the two numbers are 56 and 36

Learn more : brainly.com/question/18109354

x+y =92
x -y =20
------------ (subtract the y)
2x= 112
/2 /2
x=56
56+y=92 (substitute x with 56)
-56 -56
y=36

x = 56 and y = 36

On toanswer
Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square
units.
C.What is the length of the bottom side of the scaled copy?

Please hurry

Answers

Answer:

The length of bottom side of the scaled copy is 12 u

Step-by-step explanation:

To solve this problem we have to know that to calculate the area of a triangle we use the following formula

a = area

b = base

h = height

a = b * h

In the triangle A the base and the height are equal to 3

b = h

Now that we know that b & h we can calculate the base of the scaled copy

72 u² = b * b

72 u² = (b)²

√(72 u²) = b

12 u = b

The length of bottom side of the scaled copy is 12 u

Final answer:

To find the length of the bottom side of the scaled copy of Triangle A, we need to find the scaling factor which is the square root of the ratio of the areas of the scaled copy and the original triangle. The length of the bottom side of the scaled copy is 8 times the length of the bottom side of the original triangle.

Explanation:

To find the length of the bottom side of the scaled copy of Triangle A, we need to find the scaling factor. The scaling factor is the square root of the ratio of the areas of the scaled copy and the original triangle. Here, the area of the scaled copy is given as 72 square units. Let's assume the scaling factor as 'k'. So the area of the scaled copy is k^2 times the area of the original triangle. Therefore, we have the equation k^2 = 72.

Taking the square root of both sides, we get k = sqrt(72).

So the length of the bottom side of the scaled copy is 8 times the length of the bottom side of the original triangle.

Learn more about Finding the length of the bottom side of a scaled copy of Triangle A here:

brainly.com/question/17830082

#SPJ2

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