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mihalych1998 [28]
3 years ago
11

PLEASE HELP ME!! ASAP BEST ANSWER WILL BE MARKED BRAINLIEST!!

Mathematics
1 answer:
inn [45]3 years ago
3 0
I'm pretty sure the answer is D.
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A rectangle has perimeter 28cm. Its area is 42sq.cm. Determine the dimensions of the rectangle. Include a diagram in your soluti
yawa3891 [41]

The dimensions of the rectangle are: b=9.65 cm and h=4.35 cm or b=4.35 cm and h= 9.65 cm.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle is equal to base x height (A=bh). The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter is 2b+2h.

<h3>System of Linear Equations</h3>

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

The question gives:

Perimeter=28cm

Area= 42 cm²

If the perimeter is the sum of all sides of the rectangle, you have:

Perimeter= 2b+2h=28

If the area of the rectangle is 42cm², you have:

Area=bh=42 cm²

You can write a system of linear equations.

2b+2h=28 (1)

bh=42 (2)

From equation 2, you have  b=\frac{42}{h}. Then, you can replace it in equation 1.

2*\frac{42}{h}+2h=28 \\ \\ 84+2h^2=28h\\ \\ 2h^2-28h+84=0 \; dividing\; by\; 2\\ \\ h^2-14h+42=0

Now, you should solve the quadratic equation.

h_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:42}}{2\cdot \:1}

h_{1,\:2}=\frac{-\left(-14\right)\pm \:2\sqrt{7}}{2\cdot \:1}

h_1=\frac{-\left(-14\right)+2\sqrt{7}}{2\cdot \:1}=7+\sqrt{7}=9.65 cm

h_2=\frac{-\left(-14\right)-2\sqrt{7}}{2\cdot \:1}=7-\sqrt{7}=4.35cm

If h1=9.65 cm, then b_1=\frac{42}{9.65} =4.35 cm, and if  h2=4.35 cm, then b_1=\frac{42}{4.35} =9.65 cm.

Read more about the quadratic function here:

brainly.com/question/1497716

#SPJ1

8 0
1 year ago
(-10p+9=12) I need somebody to solve this and show me the work of this equation.
Misha Larkins [42]
-10p+9=12
-9 -9
-10p=3
—— —
-10 -10
P=3/-10 or -0.3
8 0
3 years ago
Read 2 more answers
Please help will get brainliest if correct
natulia [17]

Answer:

1/16

Step-by-step explanation:

multiply the separate probabilities. On the number, it's 1/8 chance you'll get 1. On the letter, it's a 3/6 or 1/2 chance you'll get an A.

1/8 * 1/2 is 1/16.

3 0
3 years ago
Read 2 more answers
Help I am trying to understand this!!!!
PSYCHO15rus [73]

Answer:D!

Step-by-step explanation: Okay my bad u was trying to understand.Soooo 6:1.75 is a ratio of 6 to 1.75.Basically a different saying of 6/1.75.Well if u divide the fraction you will get about 3.42.Now we just take all of the answers and just divide all of them.boom 12/3.5 is also 3.42!Therefore D is your answer!

If you found this useful please give it a like

4 0
3 years ago
Read 2 more answers
Which equation represents this statement?
yanalaym [24]

Answer:

first one

hope it helps you ...

plzzz plzzz plzzz mark as brainliest

7 0
2 years ago
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