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4 years ago

Which of the following best describes the surface area of a solid figure

Mathematics

2 answers:

Temka [501]4 years ago

7 0

Answer:

Option (c) is correct.

The surface area of a solid figure is the sum of the areas of its exterior surfaces.

Step-by-step explanation:

Given : the surface area of a solid figure

We have to choose which out of given options best describes the surface area of a solid figure.

Since, the surface area of a solid figure is the area of its outer surfaces that is the sum of the areas of its exterior surfaces.

We can find the surface area of three dimensional figures using two dimensional view that is from the top view, the side view and the front view.

So, the surface area of a solid figure is the sum of the areas of its exterior surfaces.

AlexFokin [52]4 years ago

3 0

C. The sun of the areas of its exterior surfaces is the correct answer.

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4. Two savings accounts each start with a $200 principal and have an interest rate of 5%. One account earns simple interest and

slega [8]

Answer:

The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

P is the original value

r is the rate in decimal

t is the time

The rule of the compounded interest is A = P $(1+\frac{r}{n})^{nt}$ , where

A is the new value

P is the original value

r is the rate in decimal

n is the number of periods

t is the time

The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded

annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

∵ I = A - P

∵ A = 200 $(1+\frac{0.05}{1})^{1(10)}$

∴ A = 325.7789254

∵ I = 325.7789254 - 200

∴ I = 125.7789254

∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

∵ $125.7789254 > $100

∴ The compounded annually account will earn more interest

over 10 years

6 0

3 years ago

3/6(r-7)=1 what Is value of r

sleet_krkn [62]

3/6 (r-7) =1 The answer is r=7

3 0

3 years ago

After a big snow storm, Joe and Jim decided to shovel driveways for money. Jim shoveled 3 less than twice as many driveways as J

KIM [24]

Answer:

Joe shoveled 6, Jill shoveled 9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

(24xy^3-16x^2y^2+32x^2y)/8xy

Ahat [919]

(24xy^3-16x^2y^2+32x^2y)/8xy

(‌24xy^3−16x^2y^2+32x^2y8‌x)(y) =−2x^3y^3+3x^2y^4+4x^3y^2

4 0

3 years ago

find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).

maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).

To find:

The component equation of the plane.

Solution:

The equation of plane is

$a(x-x_0)+b(y-y_0)+c(z-z_0)=0$

Where, $(x_0,y_0,z_0)$ is the point on the plane and $\left< a,b,c\right>$ is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

$-2(x-(-10))+5(y-7)+1(z-5)=0$

$-2(x+10)+5y-35+z-5=0$

$-2x-20+5y-35+z-5=0$

$-2x+5y+z-60=0$

$-2x+5y+z=60$

Therefore, the equation of the plane is $-2x+5y+z=60$ .

4 0

3 years ago