What are the surface areas of these two prisms

The length of arc UT in the diagram given, to the nearest tenth, is calculated as: 3.9 meters.

Length of arc = ∅/360 × 2πr

Given the following:

Radius = 1/2(VS) = 1/2(12) = 6 meters

∅ = 90 - (180 - 127) = 37°

Length of arc UT = ∅/360 × 2πr = 37/360 × 2π(6) = 3.9 meters

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Answer:

option B

Explanation:

Recursive Formula: aₙ = aₙ₋₁ + d

Given Sequence: 7, 4, 1, -2, -5,....

Identify the common difference:

second term - first term

4 - 7 = -3  or 1 - 4 = -3 or -2 - 1 = -3

So formula:

[tex]\sf a_n = a_{n-1}-3[/tex], where [tex]\sf a_1 = 7[/tex]

Find next term:

[tex]\sf a_6 = a_{6-1}-3 = -5-3 = -8[/tex]

Answer:

(3x + 18) + 93 = 180

23 + X

Step-by-step explanation:

(3x + 18) + 93 = 180, its supplymentery

180 - 93 = 87

87 - 18 = 69

3x = 69

69/3 = 23

23 = X

Answer:

Step-by-step explanation:

Remark

You have to assume nothing you should have to assume. You have to assume that 93 degrees on 3x + 18 sit on the same straight line. If it just looks that way, you are on shaky ground. You must be told. It's a good thing to keep in mind. Likely you'll get more questions like this. Just be aware you should not have to assume anything to make the problem work.

If the two angles both have one leg on what is marked as a straight line, then the sum of the two angles must = 180

Solution

The first one is not true. 3x + 18 is smaller than 90 degrees because 93 is more than 90 degrees. If A is true then the line is bent a bit.

B is not true. We just found one equation that doesn't work.

C is not true either. The result of trying to solve C will make x minus because 93>90 and 18 when subtracted  makes 3x even more minus.

D is true

(3x + 18) + 93 = 180               Subtract 93 from both sides.

(3x + 18) + 93-93 = 180 - 93   Combine

(3x + 18) = 87                           Remove the brackets

3x + 18 = 87                             Subtract 18

3x+18-18 = 87-18                

3x = 69                                    Divide by 3

3x/3 = 69/3

Answerx = 23

E is not true because D is true.

The height of the guest in inches will be 68.93 and in feet is 5.7.

It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

By applying the Pythagorean theorem:-

P²  =  H²  - B²

P²  = 84²  -   48²

P²  =  4725

P = √4725

P = 68.73 inches

Now the height in feet will be 68.73  /  12  = 5.7 feet.

Therefore the height of the guest in inches will be 68.93 and in feet is 5.7.

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Answer:

  $3181.42

Step-by-step explanation:

The balance of an account earning compound interest is given by the formula ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r for t years, compounded n times per year.

__

You have P=1580, r=0.10, n=365, t=7, so the balance is ...

  A = $1580(1 +0.10/365)^(365×7) ≈ $3181.42

_____

Additional comment

Your graphing calculator may have a financial function that will calculate this for you.

Answer:

m=5

Step-by-step explanation:

If the triangles are similar, the ratios of the side lengths are the same

AB        AC  

-----  = -------

QR         QS

6         3

----  = -----

10        m

Using cross products

6m = 3*10

6m = 30

Divide each side by 6

6m/6 = 30/6

m = 5

Answer:2a/(3b−c)

substitute a=6 b=4 c=8

(2*6)/((3*4) -8)

12/(12 -8)

12/(4)

3

Choice B

2a+b−3  when a=5 b=2

2(5) +2-3

10+2-3

12-3

9

Choice B

8ab/2bc

rearrange to make the math easier

8/2 * a/c * b/b

4 * a/c *1

4 * 3/4

rearrange to make the math easier

4/4 *3

3

Step-by-step explanation:

Answer:

$4742.10

Step-by-step explanation:

Exponential depreciation formula :-

, where y is the value of good after t years , r is rate of depreciation and A is the initial value.

Given : A= $20800  ; r=10.75%=0.1075  

The equation models this situation:

Then, the value of car after t=13 years :-

Hence, the value of car after 13 years = $4742.10

the answer is the litter B

Answer:

B.) Graph B

Step-by-step explanation:

You can determine which is the correct graph by verifying the points on the graphs with the equation. Remember, the leftmost number in the parentheses is the "x-value" and the rightmost number is the "y-value".

Graph B has the points (0,2) and (2,6) on the line.

y = 2(0) + 2

y = 2

y = 2(2) + 2

y = 4 + 2

y = 6

As you can see, when the "x-values" are plugged into the equation, the value generated matches the "y-value" of the point. Not all the points on the other graphs are accurate according to the equation. You can prove this to yourself by following the same method as above.

Answer:

Iris is a saleswoman whose base pay plus commissions amounted to $69,464 last year. If her base pay was $39,710 and she made $78,300 in sales last year,

what was her rate of commission?

Commissions were $29,590 against sales of $78,300

Her rate of commission was 37.79%

Step-by-step explanation:

Answer:

-3, 4

Explanation:

x² + x - 12

factorize

x² + 4x -3x - 12

take out common terms

x(x + 4) -3(x + 4)

collect into groups

(x-3)(x+4)

p = -3, q = 4

Answer:

C.  -3 and 4

Step-by-step explanation:

In order to factor a quadratic equation in the form [tex]ax^2+bx+c[/tex]
we need to find a pair of numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

Therefore, in order to factor [tex]x^2+x-12[/tex] we need to find a pair of numbers that multiply to -12 and sum to 1.

The only pair of numbers in the table that sum to 1 are:

p = -3 and q = 4

Therefore, the solution is option C.

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I believe that's right

Answer:

2(x+2)(3x-2)

Step-by-step explanation:

Hope I helped you

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

B'(-1,6)
C'(2,6)

Step-by-step explanation:

You just have to change the x by -2 and the y by +4 because we know that (3,4) turned to (1,8)

Hope this helped!

Answer:

x = 35,000

y = 30,000

Step-by-step explanation:

5x + 2y = 235,000

2x + 3y = 160,000

Have a nice day! :)

Answer:

216 degrees

Step-by-step explanation:

To convert radian measure to a degree, substitute 180 degrees in for pi.

6(180)/5=216 degrees

Therefore, your answer is 216 degrees

Answer:

Its like how much you multiply the original shape by, to the new one.

For example, if your new shape is double the size of the original shape, then the scale factor is 2, because you would multiply the original by 2, to get the size of the new.

However, if your new shape is half the size, then the scale factor is 1/2, as you multiply the original by half to get the new shape.

Hope this cleared things up, lmk down below if you any further questions.

Step-by-step explanation:

imagine that point (-2, -5) on the coordinate grid.

in what quadrant is it ?

it is, where both x and y are negative : the bottom left (3rd) quadrant.

and this is the same quadrant for the circle and the placement of the angle of the point on the circumference to the x-axis (the basic diameter).

what signs do sine and cosine of angles in the third quadrant have ?

sine goes below the x-axis and is therefore negative.

cosine is to the left of the y-axis and is therefore negative.

that eliminates answer c (with positive sine and cosine values).

as tan(x) = sin(x)/cos(x)

and

cot(x) = cos(x)/sin(x)

both, tan and cot, must be positive (-/- = +).

that eliminates answers a and d.

but there is also a problem with the remaining answer b :

cot(x) = 1/tan(x), as the above definitions tell us.

but answer b says that they are both 5/2. and that cannot be.

so, there is no correct answer option.

therefore, let's calculate the real results, and then you need to find the right option in the original problem definition without typos.

the point again is (-2, -5). x = -2, y = -5.

the center of the circle is at the origin.

so, the radius of the circle is per Pythagoras

r = sqrt(x² + y²) = sqrt((-2)² + (-5)²) = sqrt(4 + 25) = sqrt(29)

sin(angle) = y/r = -5/sqrt(29) = -5×sqrt(29)/29

cos(angle) = x/r = -2/sqrt(29) = -2×sqrt(29)/29

tan = sin/cos = -5/sqrt(29) / -2/sqrt(29) = -5/-2 = 5/2

cot = cos/sin = -2/sqrt(29) / -5/sqrt(29) = -2/-5 = 2/5

csc(angle) = r/y = sqrt(29)/-5 = -sqrt(29)/5

sec(angle) = r/x = sqrt(29)/-2 = -sqrt(29)/2

again, except for the error in answer b about cot, it would all point to answer b.

Answer:

How many grams of curry powder are in 1 teaspoons? 2.13 grams of curry powder fit into one teaspoon. 2 teaspoons of curry = 4.26 grams of curry.

Hope this helps...

Answer:

the answer to the question is D

Answer:

The answer is actually B

Step-by-step explanation:

the top layer is 5 x 5 x 2

the bottom layer is 5 x 2 x 10

5 x 5 = 25 and 25 x 2 = 50

5 x 2 = 10 and 10 x 10 = 100

100 + 50 = 150

Answer:

purple

Step-by-step explanation:

Volume of cuboid=abc

Volume of prism :-

Same volume i.e 39 units²

If a,b,c=a,b,c

Answer:

$ 8157

Step-by-step explanation:

7500 e^.042(2)   =  8157.22  ~ 8157

Answer:

The total surface area of the given prism is 152 square centimeters.

Explanation:

I'm very brainly.

Answer: its 152 squared cm

Step-by-step explanation:

i just used a app to answer

Answer:

D

Step-by-step explanation:

16 times the # of boxes = $24.

You can solve this equation by doing 24/16=$1.5 per box

Answer:

the answer is the 3rd option!

Answer

The answer is definitely 3 :)

Answer:

791,800

Step-by-step explanation:

Answer: 791800

Step-by-step explanation: