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stellarik [79]
2 years ago
5

The sum of two The perimeter of a rectangle is 30cm. If the length is 3 cm longer than the width, find

Mathematics
1 answer:
Llana [10]2 years ago
4 0

Answer:

Width: 6 cm

Length: 9 cm

Step-by-step explanation:

Width: x

Length: x + 3

2(x)+2(x+3) = 30cm

2x + 2x + 6 = 30

4x = 30-6

x = 24/4

x = 6

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How many times farther is Mars than Venus from the sun?
Alexandra [31]

Answer:

75,000,000

Step-by-step explanation:

To find how much father Mars is to Venus to the sun you just subtract the two numbers.

7 0
3 years ago
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A certain substance doubles its volume every minute at 9 AM a small amount is placed in a container ,at 10 AM the container was
Y_Kistochka [10]

Answer:

the container is 1/4 full at 9:58 AM

Step-by-step explanation:

since the volume doubles every minute , the formula for calculating the volume V at any time t is

V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume

thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4  ...

therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain

V=V₀*2^-t

V₀/4 = V₀*2^-t

1/4 = 2^-t

appling logarithms

ln (1/4) = -t* ln 2

t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2

thus t=2 min before 10 AM → 9:58 AM

therefore the container is 1/4 full at 9:58 AM

8 0
2 years ago
If a^2+b^2= 4 and ab = 5, what is the value of<br> (a+b)^2?<br> A. 10<br> B. 12<br> C. 14<br> D. 16
wlad13 [49]

Answer:

14

Step-by-step explanation:

(a+b)^2

(a+b)(a+b)

FOIL

a^2 + ab+ab + b^2

Combine like terms

a^2 +2ab + b^2

Rearranging

a^2+b^2 +2ab

We know a^2+b^2 = 4  and ab= 5

4 + 2(5)

4+10

14

5 0
3 years ago
Read 2 more answers
Find the midpoint of X (26,56) and Y (26,1)
Svetradugi [14.3K]

Answer:

(26, \frac{57}{2})

Step-by-step explanation:

Hi there!

We are given the coordinates (26, 56) and (26, 1)

We want to find the midpoint of these two points

The midpoint can be found using the formula (\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}), where (x_1, y_1) & (x_2, y_2) are points

We have 2 points, which is what we need to find the midpoint, but let's label the values of the points to avoid confusion and mistakes when actually calculating

x_1=26\\y_1=56\\x_2=26\\y_2=1

Now substitute these values into the formula.

(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})

(\frac{26 + 26}{2} , \frac{56+ 1}{2})

Add the numbers together

(\frac{52}{2} , \frac{57}{2})

Divide

(26, \frac{57}{2})

Hope this helps!

4 0
2 years ago
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What is the equation of the graphed line written in standard form?
IrinaVladis [17]
Y=2x+4
y=2x-4
and the last one is already in standard form
5 0
3 years ago
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