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Natalka [10]
3 years ago
10

A rectangle's area is 6 units larger than its perimeter. The height of the rectangle is 4 units. What is the base of the rectang

le in units?
Mathematics
1 answer:
choli [55]3 years ago
7 0

The area of a rectangle is the product of its dimensions

The base of the rectangle is 7 units

<h3>How to calculate the base of the rectangle</h3>

The area of a rectangle is:

Area (A) = Base (B) * Height (H)

From the question, we have:

A = 6 + P

H = 4

The perimeter of the rectangle is:

P =2 * (B + H)

So, we have:

P =2 * (B + 4)

Substitute P =2 * (B + 4) in A = 6 + P

A = 6 + 2 * (B + 4)

Expand

A = 6 + 2B + 8

Evaluate

A = 2B + 14

The area of the rectangle is:

A = BH

So, we have

A = 4B

Substitute 4B for A in A = 2B + 14

4B = 2B + 14

Subtract 2B from both sides

2B = 14

Divide both sides by 2

B = 7

Hence, the base of the rectangle is 7 units

Read more about areas at:

brainly.com/question/24487155

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ZanzabumX [31]

Answer:

1025 cans

Step-by-step explanation:

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We can simply sum the number of cans to get the total number.

Therefore, the total number of cans of corn, peas, and carrots that the food bank gives away is (281 + 172 + 572) = 1025 cans. (Answer)

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3 years ago
7 d = how many hours
vredina [299]
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4 years ago
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Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint. If Maya buys 9 cans
Dmitry [639]

Answer:

She can paint <u>6 rooms</u>.

Step-by-step explanation:

Given:

Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.

If Maya buys 9 cans of paint.

Now, to find the rooms she can paint.

So, we use unitary method to get the number of rooms:

If,  \frac{3}{2} cans of paint is needed to paint 1 room.

Then, 1 can of paint is needed to paint = \frac{1}{\frac{3}{2}} =\frac{2}{3} room.

Thus, 9 cans of paint is needed to paint = \frac{2}{3} \times 9

=\frac{18}{3} \\\\=6\ rooms.

Therefore, she can paint 6 rooms.

5 0
3 years ago
Which graph represents the solution set of the system of inequalities?
Nimfa-mama [501]
Well first we need to change the format of the equations to slope-intercept, or y=mx+b.
So the first one (x + y < 1) will be changed to   y < -x + 1.
The second one (2y ≥ x - 4) will be changed to   y <span>≥ x/2 - 2.
Now we can analyze each graph.
In every single graph the first equation (y < -x + 1) is graphed correctly.
Now for the second equation, we can see that only the first and last graph correctly format to the equation.
Now for the shading:
The first equation shows us that y is less than -x +1, making the shading go under the dotted line. (to the left)
The second equation shows us that y is greater than or equal to x/2 - 2, making the shading go above the line. (also to the left)
Therefore, when we shade, the overlapping shading is correctly formatted in the first graph.
Hope this helped, comment any questions you have for me.</span>
5 0
4 years ago
F ∠A is 95° and ∠B is 105°, what is ∠C?<br> A) 75° <br> B) 85° <br> C) 95° <br> D) 105°
Jobisdone [24]

The question is missing important data. The quadrilateral having vertices A, B, C and D is a cyclic quadrilateral.

Answer:

B) 85°

Step-by-step explanation:

Given:

A cyclic quadrilateral with ∠A is 95° and ∠B is 105°.

For a cyclic quadrilateral, the sum of the opposite interior angles is equal to 180°

Therefore, sum of angles A and C is 180°.

\angle A + \angle C=180\°\\95\°+\angle C=180\°\\\angle C=180-95\\\angle C =85\°

Therefore, the correct option is option B) 85°

6 0
4 years ago
Read 2 more answers
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