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2 years ago

The rectangle below has an area of 60y^4 square meters and a length of 30y meters. What is the width of the rectangle?

Mathematics

1 answer:

ladessa [460]2 years ago

3 0

2y^3 m is the width of the rectangle

Step-by-step explanation:

Area of the rectangle = 60y^4 sq. m

Length of the rectangle= 30y m

Area = length x width

60y^4 = 30y x width

Width = 60y^4/ 30y

= 2y^3

The width of the rectangle is 2y^3 meters

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Malia is placing a barrier around the edge of a circular path with a diameter of 13 meters. The barriers are in lengths of 2.5 m

gizmo_the_mogwai [7]

we need some barriers such that total of length of all barriers should equal to the circumference of the circle.

so lets assume we need x barriers

then total length of all barriers = 2.5x meter

now radius of circular path = diameter / 2= 13/2 = 6.5 meter

circumference of path = 2× pi × r = 2 × 3.14 × 6.5

=40.82 meter

so now as per statement

2.5x = 40.82

x = 40.82/2.5 = 16.328 ≈ 17

so approximately 17 barriers are required

5 0

2 years ago

Read 2 more answers

James has saved $24.60. Dillon saved 2/3 of

stepan [7]

James saved 24.60 dollars, and we know Dillon saved 2/3 of the amount James saved.

Dillon's amount: 2/3 * 24.60 = 16.40

So we have two amounts:

James = 24.60 dollars

Dillon = 16.40

Mara = 16.40 * 2 = 32.80 dollars.

The question is asking for the total, so we add them together:

24.60 + 16.40 + 32.80 = 73.8 dollars.

4 0

2 years ago

Read 2 more answers

In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

UNO [17]

Answer:

T = - 7.5 Cos π/12( t - 4 ) + 10.5

Step-by-step explanation:

Given that the

Maximum temp. = 18 degree Celsius

Minimum temp. = 3 degree Celsius

The half way between 10 am and 10 pm is 4 am

The sine and cosine functions can be used to model fluctuations in temperature data through out the year. An equation that can be used to model these data is of the form:

T = A cos B(t - C) + D, where A,B,C,D, are constants, T is the temperature in °C and t is the hour (1–24)

A = amplitude = (Tmax - Tmin)/2

A = (3 - 18)/2 = - 15/2 = -7.5 ( note : after midnight)

B = 2π/24 = π/12

C = units translated to the right

C = 4

D = ymin + amplitude = units translated up

D = 7.5 + 3 = 10.5

The formula of the trigonometric function that models the temperature T in Johannesburg t hours after midnight we be

T = - 7.5 Cos π/12( t - 4 ) + 10.5

3 0

2 years ago

. A condo in Orange Beach, Alabama, listed for $1.4 million with 20% down and financing at 5% for 30 years. What is the monthly

vovikov84 [41]

Listed price = $1.4 million
Down payment = 20% of $1.4 million = 0.2 x 1,400,000 = 280,000
Amount left to pay = $1.4 million - 280,000 = $1,120,000
Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / r
where: PV = $1,120,000
r = 5% = 0.05
t = 12
n = 30 years.
1,120,000 = P(1 - (1 + 0.05/12)^-(12 x 30)) / 0.05
1,120,000 x 0.05 = P(1 - (1 + 1/240)^-360)
56,000 = P(1 - 0.2238)
P = 56,000 / 0.7761 = 72,148.83
Therefore, the monthly payment is $72,148.83

8 0

2 years ago

PLZZ IN NEED HELP!

boyakko [2]

Answer:

$18\pi\ cm^2$