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Len [333]
3 years ago
13

The length of a rectangle is 9 centimeters less than its width. What are the dimensions of the rectangle if its area is 112 squa

re centimeters?
Mathematics
1 answer:
lbvjy [14]3 years ago
4 0
Do 9x112 and u will get the answer
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What is the value of x?
Phantasy [73]

Answer:

value of x = 5.8 mm

Step-by-step explanation:

We have given,

Two right triangles EDH and EDG.

In right triangle EDH, EH = 56mm , DH = 35 mm

Using Pythagoras theorem we can find ED.

i.e EH² = ED²+DH²

56²=ED²+35²

ED²=56²-35²

ED = √(56²-35²) = 7√39 = 43.71 mm

Now, Consider right triangle EDG

Here, EG=44.8mm , GD = x+4  and ED = 7√39

Again using Pythagoras theorem,

EG² = ED² + DG²

44.8²= (7√39)²+ (x+4)²

(x+4)² = 44.8² - (7√39)²

x+4 = √(44.8² - (7√39)²)

x+4 = 9.8

or x = 9.8 - 4 = 5.8 mm

Hence we got the value of x = 5.8 mm

6 0
3 years ago
Sally is making pastry dough. She mixes 1/3 cup of flour and 1/5 cup of sugar. If she wants to mix flour and sugar To make 16 cu
myrzilka [38]

Answer:

5 1/3 flour    3 1/5 sugar

Step-by-step explanation:

5 0
3 years ago
The question is in the picture​
otez555 [7]

Answer:

x=27.8

Step-by-step explanation:

first, you need to find y. 2y-5=65. 65+5 is 60 and you are left with 2y=70. to get the 2 off of the y you divide everything by 2. 70/2 is 35 therefor y=35. Now you plug that into the other equation (2x+y) and get 2x+35 which is equal to segment 90.6 so 2x+35=90.6. subtract 35 on both sides and you have 2x=55.6. To get the 2 off the x, we divide everything by 2. all of that divided by 2 is x=27.8

5 0
2 years ago
Find y when x=9 if y varies directly as the square of x, and y=100 when x=5.
sukhopar [10]
If y varies directly as the square of x, that means that y=k*x^2. Plugging y=100 and x=5 into it, we get 100=k*5^2=k*25. Dividing by both sides, we get k=100/25=4. Going back to the original equation, we now know that y=4*x^2. Plugging 9=x in, we get 4*9^2=4*81=324=y
7 0
3 years ago
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For the given points a(-4 6) and b(6 -4) find the slope of a line through points A and B
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the required slope of the points is -1...

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