All categories

3 years ago

13. Find the surface area of each figure to the nearest tenth. Show your work.

Mathematics

2 answers:

Delvig [45]3 years ago

8 0

Answer:

SA=LA+B

LA=1/2 Perimeter x Slant height

Perimeter (16x4)

LA=1/2 64x17

LA=1/2 of 1088=544

B (Base) 16x16=256

LA-544+B-256=800

Cone

SA=LA+B

LA=PI (radius)(Slant height)

to find slant height a^2+B^2=c^2

SL=8.54

LA=PI 3(8.54)=80.49

Base=Pi R^2

B=Pi 3^2=28.31

SA=LA 80.49+28.31

SA=108.8

stiv31 [10]3 years ago

7 0

A. The figure is a triangular pyramid. You can findits surface area by adding up the area of the three faces of the triangle and the area of the base. A derived formula also is used where the SA is equal to 12 times the perimeter of base times the slant height, added to that is the area of the base. The area of the square base is s^2. Its perimeter is 4s.

SA of Pyramid = 12*P*l + s^2
SA of Pyramid = 12*4s*l + 16^2
SA of Pyramid = 12*4(16)*(17) + (16)^2
SA of Pyramid = 11,008 square inches

b.) The formula for the SA of a cone is:

SA of cone = πr[r+√(h^2+r^2)]
SA of cone = π(3)[(3+√(8^2+3^2)]
SA of cone = 108.8 square inches

You might be interested in

Translate the phrase into an algebraic expression.<br> 3 more than b

KiRa [710]

Answer:

b+3 or 3+b

Step-by-step explanation:

7 0

2 years ago

An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh) of electricity used and an administrative fee of

zavuch27 [327]

Answer:

r represents the rate the electric company charges per kilowatt-hour.

Step-by-step explanation:

r represents the rate the electric company charges per kilowatt-hour.

Total charged to Zhao was 63.25 out of which 3.50 is administrative charge (fixed).

Total charge consists of "administrative charge" + "charge per kilowatt hours*hours used
The equation is given as 63.24 = 3.5 + 800r

<u>Matching the "word equation" with "mathematical equation", we see that 800 is the hours used and r is the charge per kilowatt hour.</u>

3 0

2 years ago

Read 2 more answers

If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

2 years ago

Read 2 more answers

What is a soliloquy in a drama?

jolli1 [7]

This is not mathematics but ok......
soliloquy is when someone on stage speaks to them self as if thinking in their mind, expressing their thoughts and emotions, conveying them to the audience.

4 0

3 years ago

Read 2 more answers

**PLEASE HELP ILL MARK BRAINLIEST** Which of the following correctly represents y = 10x + 15

Vladimir [108]

Answer:

Step-by-step explanation:

Neither the table and the graph is correct.

7 0

3 years ago