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2 years ago

What is the surface area of the figure?

Mathematics

2 answers:

Nitella [24]2 years ago

6 0

Answer:

90 ft

Step-by-step explanation:

Surface area = 2(6 × 3 + 3 × 3 + 3 × 6)

= 2(18 + 9 + 18)

= 2 × 45 = 90 ft

Zielflug [23.3K]2 years ago

5 0

Answer:

90 ft

Step-by-step explanation:

Times the length by the width of one side: 6 x 3= 18

Times 18 by 4 to get the surface area of the 4 rectangular sides: 18 x 4= 72

Times 3 by 3 to get the bottoms surface area: 9

Times 9 by 2 to get both the top and bottoms surface area: 18

Add 72+18 to get the total surface area: 90 ft

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In 2014 Rose invested $16,000 in a savings account for her newborn son. The account pays 3.6% interest each year. Determine the

Juliette [100K]

Answer:

Total value of the account in 2032 will be $26,368

7 0

2 years ago

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0

2 years ago

Four friends share 3 fruit bars equally. what fraction of a fruit bar does each person get?

oee [108]

Answer:

3/4

Step-by-step explanation:

7 0

3 years ago

Rachel must store a few pieces of her furniture for six months. A storage unit costs $55 for the first month and $47.50 for the

shepuryov [24]

y=$47.50(5)+$55

y=$237.50+$55

y=$292.55

y=total

m(47.50+ amount increased by after the starting $55

b=$55; the start.

7 0

3 years ago

The length of chord AB in D is 9mm. If the measure of angle AB is 32 then find the length of AB

Taya2010 [7]

The length of arc AB is 9.12 mm:

We first calculate for the radius r of the circle using the equation
r = c/(2 sin[theta/2])

where c is the length of chord AB that is given as 9 millimeters
angle given is 32 degrees

To convert theta 32 degrees into radians:
32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians

We now substitute the values into the equation to find the radius r:
r = 9/(2 sin[0.5583/2])
r = 16.33 mm
.
We can finally solve for the length s of arc:
s = r theta = 16.33 * 0.5583 = 9.12 mm

5 0

3 years ago