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trapecia [35]
2 years ago
13

Help me plzzzzzzzzzz??

Mathematics
2 answers:
julia-pushkina [17]2 years ago
3 0

Step-by-step explanation:

navik [9.2K]2 years ago
3 0

Answer:

D. 5 should be the correct answer

Step-by-step explanation:

14-(-3^2)

14-9=5

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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
The sum of the ages of two siblings is 29. The brother is eleven more than half the age of his sister. How old is each sibling
mina [271]

Answer: the brother is 20 and the sister is 9

Step-by-step explanation:

29 - 11 = 18  18 divided by 2 is 9

9+11 is 20 the brothers age so the sister is 9

3 0
2 years ago
Read 2 more answers
I want to buy a car for $17,500 and I make 13 an hour roughly how long would it take me to reach my goal? &amp; how many hours w
Aneli [31]

Answer:

1347 hours

Step-by-step explanation:

Assuming the income is <u>net income</u> (total after taxes etc.):

  • Cost of car = $17,500
  • Net income = $13 per hour

To calculate the number of hours to be worked to save enough to buy the car, divide the cost of the car by hourly net income:

\begin{aligned}\implies \textsf{Number of hours to work} & = \dfrac{\textsf{Cost of car}}{\textsf{hourly net income}}\\\\& = \sf \dfrac{17500}{13}\\\\& = \sf 1346.1538...\end{aligned}

We have to round the number up to <u>1347 hours</u>, as only $17,498 will be saved if 1346 hours are worked.

The average working week is approximately 40 hours, therefore to calculate how many weeks it would take to earn enough money to purchase the car, divide the number of hours by 40:

⇒ 1347 ÷ 40 = 33.675

So it would take 34 weeks, working an average of 40 hours a week and not spending <u>any</u> of the money earned, to save enough to purchase the car.

8 0
2 years ago
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For which interval on the graph is the function non-linear and decreasing?
sashaice [31]

Answer:

C. Between x = 2 and x = 3

Step-by-step explanation:

It starts non-linear at 2 = x, then ends at the beginning of 3 = x.

I am joyous to assist you anytime.

6 0
2 years ago
Write the equations included in the same set of related facts as 6×8=48
julsineya [31]
48÷8=6, 8×6=48, 48<span>÷6=8</span>
7 0
3 years ago
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