The length of a rectangle it twice it's within. If the perimeter of the rectangle is 30 cm, find its area.

Answers

Answer 1
Answer:

w - width

2w - length (l)

30 cm - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 30    divide both sides by 6

w = 5 cm

2w = 2(5) = 10

l = 10 cm

The area of a rectangle: A = lw.

Substitute:

A = (5)(10) = 50

Answer: The area is 50cm²


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Find the area of a 45°-45°-90° triangle with a hypotenuse of 24. a. 144 square units c. 99 square units b. 125 square units d. 100 square units

Answers

area=1/2 times base times height


remember that 45-45-90 triangle has sides of x,x and x√2
(legs are measure x and hypotonuse=x√2)

the legs are equal and are also the base and height
find the legs (x=leg)


hypotonuse=24
24=x√2
divide both sides by √2
24/(√2)=leg=base=height

volume=1/2 times base times heigth
V=1/2 times (24/√2) times (24/√2)
V=1/2 times (576/2)
V=576/4
V=144 units^2


answer is A

1.) Simplify
(2a^2b^4z)(6a^3b^2z^5)

Answers

Step-by-step explanation:

Simplifying

(2a2b4z)(6a3b2z5)

Remove parenthesis around (2a2b4z)

2a2b4z(6a3b2z5)

Remove parenthesis around (6a3b2z5)

2a2b4z * 6a3b2z5

Reorder the terms for easier multiplication:

2 * 6a2b4z * a3b2z5

Multiply 2 * 6

12a2b4z * a3b2z5

Multiply a2b4z * a3b2z5

12a5b6z6

Pick a city in Maryland and determine the average high temperatures for eachmonth. Record this in a table.

Answers

Answer:

Baltimore is the most populous city in the state of Maryland. The city is located in the center of the state, next to the Patapsco River, which empties into the Chesapeake Bay.

Baltimore has a humid subtropical climate, according to the climatic classification of Köppen.

July is the hottest month of the year, with an average of maximum temperatures of 91 ° F and 73 ° F of average low temperatures. The summers are very humid in the Baltimore area. The maximum temperatures registered were of 107 ° F in 1985. On the other hand, January is the coldest month, with average temperatures of 44 ° F maximum and 30 ° F of minimum temperatures. However, winters may present gusts of warm winds that soften temperatures to the point of enjoying spring periods and Arctic winds cause the collapse of temperatures, especially at night. The lowest temperature registered in Baltimore was -7 ° F, in 1934 and 1984. Due to the heat island effect in the city and a moderate effect of the Chesapeake Bay, the external and internal parts of the Baltimore metropolitan area are usually colder than the city itself and the coastal cities.

The average high temperature of Baltimore in each month is:

-January: 44º F

-February: 47º F

-March: 57º F

-April: 68º F

-May: 77º F

-June: 86º F

-July: 91º F

-August: 88º F

-September: 81º F

-October: 70º F

-November: 59º F

-December: 49º F

Baltimore Average Temperature 2016


Attached image.

Round o.oo9 to the nearest hundredth.

Answers

Answer:

0.01

Step-by-step explanation:

When rounding to the nearest hundredth, you look in the thousandths place to see if the number is 5 or greater. In this case it is. The hundredths place then moves up one number.

=0.01

Hope this helps!

0.01 because the number in the thousandths place is greater than 5

write the equation of a line that passes through the points (−3, 5) and (2, 10) in slope-intercept form

Answers


Slope-intercept form         y = mx + b

                          where    m------> slope

                                         b-------> y-intercept

                                        m= (y1-y2)/(x1-x2)

                                        P1(-3,5)      (x1,y1)

                                        P2(2,10)      (x2,y2)

                                         m= (5-10)/(-3-2)

                                         m= (-5)/(-5)

                                         m=1

               Until now, the equation is y=mx+b

                                                        y=1.x+b

                                                        y=x+b

But, whe can plug  the point   P2(2,10) in y =x+b

                                                     10 =2 + b

                                                   10 - 2 = b

                                                           b= 8

Then, the equation is              y=mx+b

                                                y= x+8   <-------------------Solution

Verification                    P1(-3,5)       y = x+8        5=-3+8     Ok

                                      P2(2,10)      y = x +8      10 = 2+8   Ok

                    

Cara has $25 to buy dry pet food and treats for the animal shelter. A pound of dog food cost $2 and treats are $1 apiece. If she buys 9 pounds of food, what is the greatest number of treats she can buy?

Answers

If dog food costs $2 a pound and Cara buys 9 pounds, her expenditure on dog food is 9 x 2. This makes $18. If she has a total budget of $25 and spends $18 on dog food, she has $7 left over for treats (25 - 18 = 7). At $1 each, she can buy up to 7 treats.