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loris [4]
3 years ago
10

the length or a rectangle is 11 centimeters less than 4 times it width its area is 20 square centimeters find the dimension of t

he rectangle use formula aera = length*width the width is cm
Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0
Width = W
Length = 4W-11

Area = L*W = W(4W-11)

4W2 - 11W = 20
4W2 - 11W - 20 = 0

We can attempt to factor this by grouping:
Multiply the coefficient of the squared term .. 4 ..
by the constant -20... 4(-20) = -80
We need to see if there are factors of -80 that add to
the coefficient of the middle W term... -11.
The factors of -80 that add to -11 are 5(-16)

Replace -11W with -16W + 5W in our equation

4W2 - 16W + 5W - 20 = 0
4W(W-4) + 5(W-4) = 20
(4W+5)(W-4) = 0

Either 4W + 5 = 0 or W-4 = 0
4W = -5 W = 4
W = -4/5

Since the width cannot be a negative number
Our width is 4cm

The length is given by L = 4W-11
= 4(4)-11
= 16-11
= 5cm
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You have to have the same unit of measure. Here your units are "minutes" and "seconds". In order to compare the two, you must change to 240 seconds into minutes (dividing by 60 = 4 mins) OR change the 5 minutes into seconds (multiply by 60 to give you 300 seconds)
5 0
3 years ago
In a right triangle, the side opposite a 33 degree angle is 17 units. What is the length of the side adjacent to that angle to t
AnnyKZ [126]

Answer:

The length of the side adjacent to that angle  is 26 units

Step-by-step explanation:

We are given

In a right triangle, the side opposite a 33 degree angle is 17 units

Firstly, we will draw diagram

we can use trig

cot(33)=\frac{x}{17}

now, we can solve for x

x=17\times cot(33)

x=26.177

So,

The length of the side adjacent to that angle  is 26 units

6 0
4 years ago
50 is the same as the quotient of p<br> and 10.
Molodets [167]

Answer:

500 divided by 10 = 50

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
Which answer choice shows 4 + 0.3 + 0.09 written in standard form?A.43.9B.4.39C.0.439D.0.0439
Oliga [24]

Place values:

As each is in a different place value, when we add them neither will affect the other, meaning:

4+0.3+0.09=4.39

Answer: B 4.39

5 0
1 year ago
X2<br>2<br>ab<br>ab to<br>b<br>The diagian<br>K<br>n shows<br>rectangle. The shade<br>Find x.<br>​
Norma-Jean [14]

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

5 0
3 years ago
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