find the surface area of the triangular prism?.... and 31 is not the answer​

The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

"It is a triangle having one of the angle measures 90° "

"It is the longest side of the right triangle."

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."

For given question,

We need to write a function that models the relationships among x, y, and r.

Consider a right triangle ABC.

where AB = x, BC = y and hypotenuse AC = r

Using Pythagoras theorem,

[tex]x^{2} + y^{2} =r^{2}[/tex]

above function defines the relationships among x, y, and r.

Now we solve above equation for 'r',

[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]

Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

Learn more about function here:

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Answer:

Look below!

Step-by-step explanation:

1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)

150 feet.

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)

Pythagorean theorem—>a^2+b^2=c^2

a and b are the legs, while c is the hypotenuse.

x^2+y^2=r^2

Take the root of both sides

r=√x^2+y^2

Answer:

36:45

Step-by-step explanation:

Answer:

Right square pyramid

Volume:

Surface area:

700 is the answer to your problem

Answer:

Step-by-step explanation:use Slader if u have a textbook

Answer:

The is A) 91

Step-by-step explanation:

Answer:   1. 29/8

                2. 37.72

                3. 24

Step-by-step explanation:

1. x + 1 3/8 = 2 1/4

              x = 21/4 - 13/8

              x = 42/8 - 13/8           [set the denominator equal]

              x = 29/8

2. 13.27 = t - 24.45

Rewrite the function as t - 24.45 = 13.27

                                                   t  = 13.27 + 24.45

                                                   t  = 37.72              

3.  9 = 3/8 × y

Rewrite as 3/8 x y = 9

                            y = 9/ (3/8)

                            y = 9 x (8/3)

                            y = 24

Answer:

height be 4 in

length be 9 in

ANd, the width be 7 in

Step-by-step explanation:

Let us assume the height of the box be x

So the length would be 2x + 1

And, the width be x + 3

As we know that

The volume of the rectangular box = length × width × height

252 = (2x + 1) × (x + 3) × (x)

252 = (2x^2 + x) × (x + 3)

252 = 2x^3 + 6x^2 + x^2 + 3x

2x^3 + 7x^2 + 3x = 252

2x^3 + 7x^2 + 3x - 252 = 0

after solving this

x = 4

So height be 4 in

length be 9 in

ANd, the width be 7 in

Answer:

2 x 2 x 2.38

2 x 2.1 x 2.26

6 x .31 x 5.118

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:

[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)

[tex]s = 2\pi\cdot r[/tex] (2)

Where [tex]r[/tex] is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]

[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:

[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]

[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)

Where:

[tex]s[/tex] - Measure circumference, in centimeters.

[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.

If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:

[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Answer: 53

Step-by-step explanation:

Hope this helps!

Answer:

rectangles opposite sides are equal.

the diagonal of rectangle is hypotenuse of the right angle triangle.

30²+16²=x²

900+256=x²

1156=x²

1156½=x²

34=x

so, the fence need to be 34ft

Answer:

61

Step-by-step explanation:

2w + 43 = ?, w = 9

Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)

a = 12 m

b = 5 m

c = 13 m

P = 30 m

s = 15 m

K = 30 m2

ha = 5 m

hb = 12 m

hc = 4.6153846153846 m

Step-by-step explanation:

Answer:

$229.73

Step-by-step explanation:

5 Pair of jeans = 127.63

divide by 5 to get 1 pair of jeans.

1 pair of jeans = 25. 526 rounded 25.53

times 9 to get to 9 pair of jeans.

9 pair of jeans = 229. 734 rounded 229.73

Answer:one of them is m=3/1 y=3x+10

Step-by-step explanation:i

Answer:

d metamorphosis

Step-by-step explanation:

9514 1404 393

Answer:

  A)  JM = 30

  B)  x = 11

  C)  x = 18

Step-by-step explanation:

A) Chords the same distance from the circle center have the same length.

  KL = 2×15 = 30 = JM

__

B) Tangents from the same point have the same length.

  2x -14 = x -3

  x = 11 . . . . . . . . . add 14-x to both sides

__

C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.

  x² = 12(12 +15) = 324

  x = √324

  x = 18

Answer:

512

Step-by-step explanation:

2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

Answer:

[tex]\frac{16}{152}[/tex]

[tex]\frac{15}{210}[/tex]

Step-by-step explanation:

Answer:

382 cm²

Step-by-step explanation:

The shape can be decomposed into two rectangular prism or cuboids

✔️Dimension of prism 1 (smaller prism):

L = 10 cm

W = 3 cm

H = 7 - 4 = 3 cm

Surface area of prism 1 = 2(LW + LH + WH)

= 2(10*3 + 10*3 + 3*3)

= 2(69)

Surface area of prism 1 = 138 cm²

✔️Dimension of prism 2 (larger prism):

L = 10 cm

W = 8 cm

H = 4 cm

Surface area of prism = 2(LW + LH + WH)

= 2(10*8 + 10*4 + 8*4)

= 2(152)

Surface area of prism 2 = 304 cm²

✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)

= (138 + 304) - (2 × L × W)

= 442 - (2 × 10 × 3)

= 442 - 60

= 382 cm²

Step-by-step explanation:

the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600

Answer:

52 and 50

Step-by-step explanation:

Break it down into smaller numbers in this case 3 numbers.

26 * 10 * 10 = 2600

By multiplicative rule,

we can break 10 into 5 * 2,

giving 26 * 10 * 5 *2,

because multiplication is commutative and associative

group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600

Answer:

Enter date and time information at "From:"

Select a month and a day. Enter a year.

The year entered must be a positive number. Not zero (0).

Enter hours and minutes. Select am or pm.

The hours entered must be a positive number between 1 and 12 or zero (0).

The minutes entered must be a positive number between 1 and 59 or zero (0).

Add or Subtract Line

Enter number of days, hours and minutes

Select "add" or "subtract"

If you type "ghblxz", in the year box the computer will print "0"

If you type "1.9e2", the computer will use "190" to calculate the answer.

If you select "February 31", the computer will print "Not a Day"

Click "Click to Calculate" button. The calculated date and time will appear.

NaN = not a number

To clear the entry boxes click "Reset

Answer:

x=2 and y=6

Step-by-step explanation:

Answer:

540 feet

Step-by-step explanation:

[tex]\frac{36}{100} = \frac{x}{1500}[/tex]  Cross multipy

100x = 54000

54000/100 = 540

x = 540

Answer:

Step-by-step explanation:

This is an isosceles triangle with base of 21 and sides of 28.

Area formula

Find height:

Area: