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stich3 [128]
3 years ago
8

Find the missing number of each unite rate 10/2=?/1 16/4= ?/1

Mathematics
1 answer:
brilliants [131]3 years ago
8 0

10/2 = 5/1

16/4 = 4/1

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The length of a rectangle is 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an
Ksenya-84 [330]

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

3 0
3 years ago
What are the solutions to the equation x2 = 289?
artcher [175]
Because this is a second degree equation you will have 2 solutions.  When you take the square root of a number you have to account for both the positive and negative roots.  Since the square root of 289 is 17 then your solutions are +17 and -17.
3 0
3 years ago
Tom has 3 kids, the product of their ages is 72. What is the sum of their ages?
mafiozo [28]
Their ages are 24 years old each.
5 0
3 years ago
Read 2 more answers
Please help me answer all parts of question 3 in the photo.
Nookie1986 [14]
(i.) CA = πrl
CA = π (5*13)
CA = 65π

(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π

(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.

a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12

(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π


5 0
3 years ago
Find y when x=14 if y varies directly with x2 and y=72 when x=6
ICE Princess25 [194]
This should help you:


8 0
3 years ago
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