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Digiron [165]
3 years ago
6

Simplify sec ( t ) cos ( t ) to a single trig function.

Mathematics
1 answer:
Anarel [89]3 years ago
8 0

sec ( t ) cos ( t )  = (1/cos (t)) *cos(t) = 1

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Find the slope of the line?
LenKa [72]

Answer:

-3/4

Step-by-step explanation:

Option 1

Direction of the line: Down

-Negative Slope

Rise=-3

Run=4

Rise/Run=-3/4

Option 2

Points: (1,-2) and (-3,1)

y2-y1/x2-x1= 1-(-2)/-3-1

1+2/-3-1

-3/4

3 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 46 m if the with were doubled and on length were increased by 5 their perimeter would be 66 what
Kamila [148]

Answer:

18 and 5

Step-by-step explanation:

if 'x' - is the length and 'y' - the width of the rectangle, then

2(x+y)=46 - perimeter of the original rectangle and 2(2x+(y+5))=66 - the perimeter of the new rectangle.

\left \{ {{x+y=23} \atop {2x+y=28}} \right. \=> \ \left \{ {{x=5} \atop {y=18}} \right.

Finally, the length is x=5 and the width is y=18.

8 0
3 years ago
An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar
erica [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

6 0
3 years ago
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied w
soldier1979 [14.2K]

Answer:

Yes, result is significant ; PVALUE < α

Step-by-step explanation:

Given :

x = 536

n = sample size = 1012

Phat = x / n = 536 / 1012 = 0.5296 = 0.53

H0 : P0 = 0.5

H1 : P0 > 0.5

Test statistic :

(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]

1-P0 = 1 - 0.5 = 0.5

(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]

0.03 ÷ 0.0157173

= 1.9087

Pvalue :

Using the Pvalue from test statistic :

Pvalue = 0.02815

To test if result is significant :

α = 0.05

0.02815 < 0.05

Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.

3 0
3 years ago
In the proportion 1/z = 4/5/8 which number os equal to z in the proportion
kobusy [5.1K]

I think it’s -156.250771950772

6 0
3 years ago
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