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Vsevolod [243]
3 years ago
7

Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord

er to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.

Mathematics
2 answers:
Anni [7]3 years ago
8 0
The formula for this would be base x height so 20x15 or 300
Kitty [74]3 years ago
6 0

Answer:

Welll....from the diagram, you can see you have two triangles  (one on each side)

area of triangle = 1/2 base*height  = 1/2  * 2 x 10   = 10 ft2   each

 then you are left with a rectangle   13 ft x 10 ft = 130 ft^2

130 + 10 + 10 = 150 ft2

   or you could just use the formula for area of parallelogram     base * height = 15 * 10 = 150 square feet

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1) check if they given ordered pairs are solutions to the equation or not.
ziro4ka [17]
Answer: a) Yes
b) No


Explanation: Substitute the values of X and Y from the given points into the equation. I’ll use a) as an example:
Given point: (1,-3)
Equation: 4x-2y=10
Value of X: 1
Value of Y: -3
Substitute X and Y: 4(1)-2(-3)=10
4-(-6)=10
4+6=10 ✔︎

Therefore, the given ordered pair is a proper solution to the equation 4x-2y=10.

*You can use the same method for question b).*
3 0
3 years ago
In 14 days the daily high temperature in cedar hills dropped by 16.8 degrees Fahrenheit what is the average daily rate of change
Montano1993 [528]

Answer:

1.2°F

Step-by-step explanation:

Given that:

The drop in temperature in degree Fahrenheit over a period of 14 days = 16.8

The average daily rate of change in degwrr Fahrenheit ;

Total drop in temperature / number of days

= 16.8°F / 14

= 1.2°F

Hence, the average daily drop in temperature is 1.2°F

6 0
3 years ago
X=y-4 and 2x+4y=10 help me ​
Murljashka [212]

Answer:

Step-by-step explanation:

1. x = y-4

0 = y - 4 -x

4 = y - x

2. 2x+4y = 10

x+4y = 5

x+y = 5/4

6 0
3 years ago
9. Find the area of the figure to the right.<br> area<br> 14 in
zlopas [31]

Answer:

1. 200 in.^2

2.

Step-by-step explanation:

1. Area of a trapezium=1/2(a+b)height

a=14 in.

b=20 in.+6 in. = 26 in.

height= ?

height can be gotten by using

formula : Soh Cah Toa

Toa is tangent∆= opposite/ adjacent

∆ = 60°

opp=? adj=6 in.

Tan 60° =opp/6 in.

Tan 60° = 1.732

1.732= opp/ 6 in.

opp=1.732*6 in.

opp = 10.392 approximately= 10 in.

Area of trapezium= 1/2*(14+26)*10(in.^2)

Area of trapezium= 1/2*40*10

= 1/2*400

= 200 in.^2 .

2. Area of triangle= 1/2* base* height

for first triangle =

base=4m

height =15m

Area: 1/2*4*15 ,1/2*60= 30m^2

second triangle =

base:?

height: 15m

using Pythagorean theorem;

hyp^2 = opposite ^2 + adjacent ^2

17^2 = 15^2 + adj^2

289= 225 + adj^2

adj^2 = 289-225= 64

square root

adj = 8m

area of second triangle : 1/2*8*15

: 1/2*120 :60m^2

total area: 30 m^2 +60m^2

==90 m^2

8 0
3 years ago
Which graph could represent a constant balance in a bank account over time? A graph titled Daily Balance. The horizontal axis sh
kramer

Answer:

See the image.

Step-by-step explanation:

Constant balance in a bank account signifies that the balance in the account remains constant throughout time.

That is, it did not rise or diminish with time.

As a result, the graph of such a circumstance is a horizontal line parallel to the Time period axis.

4 0
2 years ago
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