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777dan777 [17]
2 years ago
7

the rectangle below initially has dimensions of 10 inches and 14 inches as shown. after both dimensions have been increased by a

length of x, the total area of the resulting rectangle is 320 square inches. algebraically determine the value of x.
Mathematics
1 answer:
yKpoI14uk [10]2 years ago
7 0

The value of x determined algebraically given the total area of the rectangle is 1.5 inches

<h3>How to find area of a rectangle</h3>

Initial dimensions:

Length = 14 inches

Width = 10 inches

New dimensions:

Length = 14 + x

Width = 10 + x

Area = 320 square inches

Area of a rectangle = Length × Width

320 = (14 + x) × (10 + x)

320 = 14x × 10x

320 = 140x²

x² = 320/140

x² = 2.28571428571428

x = √2.28571428571428

x = 1.511857892036908908858066144936720243

Approximately,

x = 1.5

Learn more about area of a rectangle:

brainly.com/question/13048427

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Someone please help me quickly i will give brainlyist
scZoUnD [109]

(16,5) it should be

16 input

5 output

if you went to 5 ont he y-axis and keep going till it hits the line the x seems to be 16.

im deeply sorry if this is wrong.

4 0
3 years ago
1. It takes 45 minutes for two people to clean six identical rooms. How
Elena L [17]

Answer:

To clean 20 identical rooms 5 people will take 1 hour .

Hope It Helps You.

8 0
2 years ago
Read 2 more answers
leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a
Georgia [21]
The answer is x =  \frac{-7+ \sqrt{193} }{4}.

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
P = a * b = 200 feet * 30 feet = 600 square feet.

6% of 600 square feet is 36 square feet:
600 square feet : 100% = A : 6%
A = 600 * 6 / 100 = 36 square feet

The area of the triangular-based cabinet (A) is A = \frac{a*h}{2}, where a is the base, and h is the height of the triangle.
It is given:
A = 36
a = 2x + 3
h = 3x + 6

Now, let's implement this to the formula A =  \frac{a*h}{2}:
36 =  \frac{(2x+3)(3x+6)}{2}
⇒ 36*2=6 x^{2} +12x+9x+18
72=6 x^{2} +21x+18

Let's both sides divide by 3:
24=2 x^{2} +7x+6
⇒ 2 x^{2} +7x-18=0

This is the quadratic formula (a x^{2} +bx+c=0) for which
x =  \frac{-b+\sqrt{b^{2} -4ac} }{2a} or
<span>x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}.
</span>We will use only <span>x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}, because the length cannot have negative value.</span>


<span>From the equation 2 x^{2} +7x-18=0, we know that
</span>a = 2
b = 7
c = -18

Thus, <span> x = \frac{-7+ \sqrt{193} }{4}:
</span>x= \frac{-b+ \sqrt{ b^{2} -4ac} }{2a} = \frac{-7+ \sqrt{ (7)^{2} -4*2*(-18)} }{2*2} = \frac{-7+ \sqrt{49+144} }{4} = \frac{-7+ \sqrt{193} }{4}

4 0
3 years ago
Need help as soon as possible
Lubov Fominskaja [6]

Answer:

CosC = \frac{3}{5}

Step-by-step explanation:

Cos C = \frac{Adjacent}{Hypotenuse}

<em>Where Adjacent = 24 , Hyp = 40</em>

Cos C = \frac{24}{40}

<u><em>In simplest form</em></u>

CosC = \frac{3}{5}

7 0
3 years ago
A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?
MrRissso [65]

Answer:

180 glasses.

Step-by-step explanation:

capacity of glass: 25 ml

capacity of vessel: 4l 500 ml

4500 / 25 = 180

4 0
3 years ago
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