What is the length of the hypotenuse

Find attached to this question, the diagram of the prism

Answer:

740m

Step-by-step explanation:

The first step determine what type of Prism we are trying to solve. Looking at the diagram, the prism is a triangular prism.

The surface area of a triangular prism is calculated as

Surface Area = bh + 2ls + lb

Where

b = base = 16m

h = height = 15m

l = length = 10m

s = side edge or length = 17m

Surface Area of the triangular prism = (16×15)m + 2(10×17)m + (10×16)m +

= 740m

Answer:

740m

Step-by-step explanation:

Answer:

an = 56-8(n-1)

Step-by-step explanation:

This is an arithmetic sequence

The common difference is 48 - 56 =-8

a1 = 56

an = a1+d(n-1)

an = 56-8(n-1)

The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.

The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.

Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.

Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.

By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.

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Answer:

The range is 115

Step-by-step explanation: To find the range of a data set you subtract the lowest value from the highest value. In this case that would be 135 minus 20 which gives you a range of 115.

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

because 5 is in the thousands place and 7 is in hundreds place and 8 is in the tens place and 9 is in the ones place

Answer: The model indicates that students who have spent 0 hours playing sports will have an average mood rating of 5

Step-by-step explanation:

A y-intercept of 5 means players spending 0 hours playing sports will have an average rating of 5.

Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables.

In this case, y is the rating of the mood on a scale from 0 to 10 while the x represents the number of hours in playing sports.

We know the y-intercept means the x-coordinate is 0 means the number of hours spent playing sports is 0.

So, a y-intercept of 5 means students who have spent 0 hours playing sports will have an average mood rating of 5.

Hence, a y-intercept of 5 means players spending 0 hours playing sports will have an average rating of 5.

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Answer:

37400

Step-by-step explanation:

just cause.

Answer:

37400

Step-by-step explanation:

Answer:

LAST ONE IS angle JLK congruent to angle LNM, SAS

Step-by-step explanation:

The triangles JLK and LMN are similar by SAS congruence theorem, LJK≅ LNM.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The triangles JLK and LMN are similar triangles.

Which means the sides are proportional and those angles are congruent.

We have to prove that JLK is similar to LMN.

By SAS rule we have "if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar".

So LJK≅ LNM.

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Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Answer:

The answer is 5 units.

Step-by-step explanation:

3^2+4^2=25. √25=5 units

Mark Brainliest and stay safe!!

Answer:

-2

Step-by-step explanation:

it's a negative slope (going down) and its 2/1 which makes it just -2

Answer: x = 20.

Step-by-step explanation:

x and (3x + 10) combine to form a right angle, shown in the diagram by the small square joining the perpendicular lines.

Right angles are 90 degrees, so you can add both angles to get 90:

[tex]x + (3x + 10) = 90\\\\4x + 10 = 90\\\\4x = 80\\\\x = 20[/tex]

Answer:

Option B - Rule) is your answer

Answer:

42

Step-by-step explanation:

According to the description given, the angles are complementary angles.

Their measurements will add up to 90°.

[tex]90 - 48 = 42[/tex]

X should be equal to 42.

Brainilest Appreciated.

The value of x in a line that splits a right angle into two is 42

A right angle is an angle formed by a perpendicular line on a straight line. The angle in a right angle is equal to 90 degrees.

From the given information, if a line comes out of the right-angled point and splits it into two halves;

where:

The value of the x is:

(x + 48)° = 90°   (sum of angles in a right angle triangle)

x = 90° - 48°

x = 42°

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Answer:

$6.96

Step-by-step explanation:

(4*8.99) + (3*7)

35.96 + 21 = 56.96

50- 56.96 =  -6.96   So she owes 6.96

Answer:

56

Step-by-step explanation:

i don't know

Answer:

15

Step-by-step explanation:

Find the largest number in the range and the smallest. in this case its 15 and 30. then subtract 15 from 30, basically subtract the least number from the greatest

30-15= 15!

♡ Hope it helps♡

Answer:

15

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

1 / 3

First, let's find the mean.

\dfrac{26+31+39+32}{4} = \dfrac{128}{4}= \blueD{32} \text{ putts}  

4

26+31+39+32

​  

=  

4

128

​  

=32 puttsstart fraction, 26, plus, 31, plus, 39, plus, 32, divided by, 4, end fraction, equals, start fraction, 128, divided by, 4, end fraction, equals, start color #11accd, 32, end color #11accd, start text, space, p, u, t, t, s, end text

Hint #22 / 3

Next, let's find the distance each data point is from the mean.

Data point Distance from the mean

262626 \blueD{32}-26 = 632−26=6start color #11accd, 32, end color #11accd, minus, 26, equals, 6

313131 \blueD{32}-31 = 132−31=1start color #11accd, 32, end color #11accd, minus, 31, equals, 1

393939 39-\blueD{32} = 739−32=739, minus, start color #11accd, 32, end color #11accd, equals, 7

323232 32-\blueD{32} = 032−32=032, minus, start color #11accd, 32, end color #11accd, equals, 0

Hint #33 / 3

The mean absolute deviation (MAD) is the mean of the distances from the mean.

\dfrac{6+1+7+0}{4} = \dfrac{14}{4}= 3.5\text{ putts}  

4

6+1+7+0

​  

=  

4

14

​  

=3.5 putts  I hope it helps.

Answer:

[tex]8x[/tex]

Step-by-step explanation:

[tex]4 \: time \: 2x = 8x[/tex]

Answer: (5x+3) (25x^2-15x+9)

(5x + 3) (25x^2-15x + 9)

Answer:

[tex]2+\sqrt{2}[/tex]

Step-by-step explanation:

[tex](3\sqrt{2} +4)(\sqrt{2} -1) = (3*2)+4\sqrt{2} -3\sqrt{2}-4[/tex]

[tex]= 6-4+\sqrt{2}[/tex]

[tex]= 2+\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Use FOIL method

(3√2 +  4)(√2 - 1) = 3√2*√2 - 3√2*1 + 4 *√2 - 4*1

                           =3*√(2*2) - 3√2 + 4√2 - 4

                           = 3*2 - 3√2 + 4√2 - 4

                           = 6 - 3√2 + 4√2 - 4  {add the like terms}

                          = 6 - 4 - 3√2 + 4√2

                          = 2 + √2

Answer:

Length KN = 2π/3 = 2.094

Step-by-step explanation:

Length KN = (mKN/360)2πr

Length KN = (40/360)2π3

Length KN = (1/9)6π

Length KN = 6π/9

Length KN = 2π/3 = 2.094

Answer:

$25.20

Step-by-step explanation:

10%= 2.4 because you divide 24 by 10

So 5%= half 2.4= 1.2

24+1.2=25.20

Answer:

$25.20

Step-by-step explanation:

$0.05 x $24 = $1.20

$24 + $1.20 = $25.20

Answer:

Step-by-step explanation:

A) y + ? = n^2 - 16n + ? + 69

y + 64 = n^2 -16n + 64 + 69

y + 64 = (n-8)^2 + 69

y = (n-8)^2 + 5

B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:

y = a(x-h) + k

it's a minimum only because the (a) value is positive

C) axis of symmetry = 8

Answer:34.2479 inches

Step-by-step explanation:

Answer: (27- 4/3 pi) r^3

Step-by-step explanation: 1. Volume of a cube: V= a^3,  V= 3^3 , V=27

2.  Volume of a sphere: V=4/3 pi r^3 ......

The expression which represents the volume of the foam padding needed to fill the space in the box around the sphere in terms of π is option C. (27 - [tex]\frac{4}{3}[/tex] π) r³.

Volume of a three dimensional shape is the space occupied by the shape.

We have a sphere of radius r inside a cube of side length 3r.

Volume of a cube = (a)³, where a is the side length.

Here a = 3r

Volume of the cube = (3r)³ = 27r³

Volume of a sphere of radius r = [tex]\frac{4}{3}[/tex] π r³

Volume of the foam padding needed to fill the space in the box around the sphere = 27r³ - [tex]\frac{4}{3}[/tex] π r³

                  = r³ (27 -  [tex]\frac{4}{3}[/tex] π)

Hence the volume of the space inside the cube outside the sphere is r³ (27 -  [tex]\frac{4}{3}[/tex] π).

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Answer:

the first one

Step-by-step explanation:

Answer

is 8pi

it doesnt want you to actually times pi but leave pi alone

Step-by-step explanation:

i took the test got it wrong at first and reviewed it it said 8pi

The Volume of cone in terms of π is: 8π in³.

Volume of any cone with radius, r, and height, h, is determined using the formula: V = 1/3πr²h.

Given:

Thus:

Volume of cone = 1/3(π × 2² × 6)

Volume of cone = 1/3(24π)

Volume of cone = 8π in³.

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Answer:110

Step-by-step explanation: just divide by 2 to find out half.

110 is half of 220.

Here, we have,

To find half of a number, you divide it by 2.

In this case, to find half of 220, you divide 220 by 2:

220 ÷ 2 = 110

Therefore, half of 220 is 110.

When we divide 220 by 2,

we are splitting it into two equal parts, with each part being 110.

so, we get,

110 is half of 220.

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