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postnew [5]
3 years ago
12

Find the surface area of the prism below. Please see the attachment and a. 108cm ^2 is incorrect. Thanks!

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer: OPTION B

Step-by-step explanation:

To solve this problem you must add the areas of each rectangle that form the prism;

The area of a rectangle can be calculated with the formula:

SA=length*width

There are three pairs of equal rectangles, then you can find the surface area of 3 rectangles and multiply each one by 2, then you obtain that the surface area of the prism is:

SA_{prism}=2(6cm*2cm)+2(3cm*6cm)+2(3cm*2cm)=72cm^{2}

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aleksandrvk [35]

Answer:

see explanation

Step-by-step explanation:

(4)

consider the left side

factor the numerator

cosx - cos³x = cosx(1 - cos²x)

\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}

cancel sinx on numerator/denominator

= cosxsinx =right side ⇒ verified

(5)

Consider the left side

expand the factors

(1 + cotΘ)² + (1 - cotΘ)²

= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ

= 2 + 2cot²Θ

= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ

= 2cosec²Θ = right side ⇒ verified

(6)

Consider the left side

the denominator simplifies to

cosxtanx = cosx × \frac{sinx}{cosx} = sinx

\frac{sin^2x(secx+cosecx)}{sinx}

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3 0
3 years ago
2x-5y=10 ;what is the x intercept, what is the y intercept, what is the slope?
creativ13 [48]
First we put the equation in y = mx + b form where m is ur slope and b is ur y int.

2x - 5y = 10
-5y = -2x + 10
y = 2/5x - 2.......so ur slope is 2/5 and ur y int is (0,-2) <==

to find ur x int, sub in 0 for y and solve for x
2x - 5y = 10
2x - 5(0) = 10
2x = 10
x = 10/2
x = 5......and ur x int is (5,0) <==

another way to find the y int is to sub in 0 for x and solve for y...but u might as well solve it by putting it in y = mx + b form because that way u have ur slope as well.
4 0
3 years ago
Read 2 more answers
If officer brimberry wrote 16 tickets for traffic violations last week but only 10 tickets this week what is the percent decreas
melamori03 [73]
I believe this is right..

10/16= x/100
x=62.5%
100%- 62.5%= 37.5%
5 0
3 years ago
A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima
Nimfa-mama [501]

Answer:

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle=20 ft\times 230 ft

We know that

Area  of rectangle ,A=xy

Differentiate

dA=\frac{\partial A}{\partial x}x+\frac{\partial A}{\partial y}y

We have \frac{\partial A}{\partial x}=y=230 ft

\frac{\partial A}{\partial y}=x=120

dx=\frac{12}{12}=1 ft

1 ft=12 in

Because 6 in added in both side of breadth

dy=\frac{12}{12}=1 ft

Because 6 in added on both sides of length of rectangle

Substitute the values

dA=230\times 1+120\times 1=350 ft^2

Hence, the number of square feet of paint in the strip=350 square feet

7 0
3 years ago
Which plot has an outlier?
inna [77]

Answer:

girls

Step-by-step explanation:

an outlier is a number that is greater than the others.

boys doesnt have and outlier because the highest number has other numbers near it, while girls doesn't.

5 0
3 years ago
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