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otez555 [7]
2 years ago
10

Find the area of the triangle. Height = 4 ft Base = 12 1/2 ft Area = ? square feet

Mathematics
1 answer:
Nikolay [14]2 years ago
5 0
Answer:
25 square feet

Explanation:
Area of triangle= 1/2 * height * base
1/2 * 4ft * 12 1/2 ft
2ft * 12 1/2 ft
25 square feet

Hope this helps you :)
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Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani
Natali [406]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|

We have the constraints:

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

5 0
3 years ago
last week, Sara earned 84 dollars. she earned 14 dollars mowing lawns. she earned the rest of the money babysitting for 7 dollar
morpeh [17]
So she earned 84 total dollars
she earned 14 dollars mowing lawns
she earned (total-mowing lawns=babysitting) 84-14=70 dollar babysitting

7 dollars per hour so
70/7=10 so
h=10
7 0
3 years ago
What are linear equations? Explain In full depth please​
jasenka [17]

Answer:

, a linear equation is an equation that may be put in the form where are the variables, and are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables.

Step-by-step explanation:

y= 2x+1 is a linear equation

4 0
3 years ago
FiftyFifty adult men in the United States are randomly selected and measured for their body mass index​ (BMI). Based on that​ sa
Fynjy0 [20]

Answer: (23.3,\ 29.7)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline{x}\pm ME., where \overline{x} is the sample mean and ME is the margin of error .

Given : The sample mean : \overline{x}=26.5

Margin of error : ME=3.2

Then , the range of values​ (confidence interval) likely to contain the true value of the population parameter will be :-

26.5\pm 3.2=(26.5-3.2,\ 26.5+3.2)=(23.3,\ 29.7)

Hence, the range of values​ likely to contain the true value of the population parameter =  (23.3,\ 29.7)

3 0
3 years ago
Read 2 more answers
Find the perimeter of the semicircle when diameter is 3.5 cm. (1 Point)
Feliz [49]

● Answer:

8.995 cm

● Step-by-step explanation:

P = d + L/2

d = 3.5 cm

L/2 = 2pi×r/2

= pi×d/2

= 3.14×3.5/2

= 5.495 cm

P = 3.5cm + 5.495

= 8.995 cm

8 0
3 years ago
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