A plant inspector takes a random sample of six month old seedlings from a nursery and measures their heights to the nearest mm .

Given:

The right triangular prism.

Height of prism = 28 in.

Hypotenuse of base = 25 in.

leg of base = 24 in.

To find:

The lateral surface area of the prism.

Solution:

Pythagoras theorem:

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

Using Pythagoras theorem in the base triangle, we get

[tex]25^2=24^2+Base^2[/tex]

[tex]625-576=Base^2[/tex]

[tex]\sqrt{49}=Base[/tex]

[tex]7=Base[/tex]

The perimeter of the triangular base is:

[tex]P=7+25+24[/tex]

[tex]P=56[/tex]

Lateral area of a triangular prism is:

[tex]A=Ph[/tex]

Where, P is the perimeter of the triangular base and h is the height of the prism.

Putting [tex]P=56,h=28[/tex] in the above formula, we get

[tex]A=56(28)[/tex]

[tex]A=1568[/tex]

Therefore, the lateral area of the prism is 1568 in².

Answer:

2.2 kg

Step-by-step explanation:

1000g = 1kg

8700g = 8.7kg

3/4 = 75%

8700 / 100 = 87

87 * 75 = 6525

8700 - 6525 = 2175

2.175kg or if rounded 2.2kg

Answer:

Scalene triangle

Step-by-step explanation:

a scalene triangle has 3 uneven sides

Answer:

C. 96 cm²

Step-by-step explanation:

Objętość sześcianu = 64 cm³

Krok 1

Znajdujemy długość boku sześcianu

Objętość = (długość boku) ³

64 = a³

a = pierwiastek sześcienny (64)

a = 4 cm

Krok 2

Znajdujemy obszar sześcianu

Wzór na całkowitą powierzchnię sześcianu = 6a²

a = 4 cm

Całkowita powierzchnia = 6 × 4²

= 6 × 16

= 96 cm²

Opcja C jest właściwą opcją

20cm

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Answer:

Step-by-step explanation:

you need to mutpliy all or your numders 17 x 4 x 8 x 9 = 4896m

Answer:

it's yes

Step-by-step explanation:

hope it help

follow me plsss

Answer:

785cm³

Step-by-step explanation:

3.14×5=15.7

15.7×5=78.5

78.5×10=785

785cm³

Answer:

Volume is 785 cm^3

Step-by-step explanation:

Well first you can find the area of the base which in this case is the circle.

Follow the formula to find area of a circle

a=πr^2

We know π is 3.14 so plug in the radius which is 5

3.14*5^2=a

Solve and you’d get 78.5

Now multiply the base by the height

78.5*10= 785

Answer:

a = -3 and b = 1

Step-by-step explanation:

x² - 6x + 10

→ Half the second term and place it in the bracket

( x - 3 )²

→ Square -3

- ( 3 )² = -9

→ Place this outside the brackets along with plus 10

( x - 3 ) ² - 9 + 10

→ Simplify

( x - 3 ) ² + 1

Answer:

Step-by-step explanation:

Base = 11 units

height = 2 units

Area = 1/2 × base × height

Area = 1/2 × 11 × 2

Area = 11 sq. units

11 square units is the area of the triangle , option A is correct.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The formula to find area of triangle is half times of base and height

Given Base is 11 units

height is 2 units

Area = 1/2 × base × height

Plug in the values of base and height

Area = 1/2 × 11 × 2

Area = 11 sq. units

Hence, 11 square units is  the area of the triangle , option A is correct.

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Answer:

c

Step-by-step explanation:

Answer:

$85000

Step-by-step explanation:

Answer: The answer is $85,000

Step-by-step explanation: Basically, you have to divide -3,400 on both sides. So 85,000 ÷ -3,400 = -25. Now, you have to substitute x, which is -25. -3,400 x -25 = 85,000. Hope this helps!! :)

Answer:

multiply one or both of the equations until a variable can cancel out

Answer:

(3x-2) (9xsquare+6x+4)

Answer:

Answer is below

Step-by-step explanation:

[tex]\frac{27}{x^{3} } -8= (\frac{3}{x})^{3} -2^{3} =(\frac{3}{x} -2)(\frac{9}{x^{2}}+\frac{6}{x}+4)[/tex]

(  from formula (a³ – b³) = (a – b)(a² + b² + ab)  )

You can either walk by and just go with it, say dang okay, or you could walk past them like you were saying it to someone else. Good luck to you if you end up in the situation.

Answer:

Give them a dirty look, then say it louder but if u dont want to say it again then just leave them alone. If not BEAT THEM UP

Step-by-step explanation:

Answer:The answer is (√229)/6

Step-by-step explanation: i dont know

Answer:

[tex]([/tex]√[tex]\frac{229}{6}[/tex][tex])[/tex]

Step-by-step explanation:

Easy.

Answer:

Self esteem hope this helps

Answer:

1/4 + m = 2/3

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Possible numebrs that can be picked are 1,2,3,4,5

The only odd numbers are 1,3,5

3 odd numbers out of 5 possible numbers

3/5=0.6=60%

Answer:

27

Step-by-step explanation:

Correct me if i'm wrong but I read this as (4-1)x(4-1)x(4-1).

Ok so the first step to follow in the order of operation is to do the equations in the paranthesis. 4-1=3.

So it is like dis: 3x3x3.

First 3x3=9, then we do it again but to nine this time. 9x3=27. there u have it

also i cant change my answer or edit it so im sry if this answer is wrong and like- unchangable :/

Answer:

D y>0

Step-by-step explanation:

(0,∞)

Answer:

is there an image or something to look at? we need one to give the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x=21.35764429=21.4

Step-by-step explanation:

Take SOHCAHTOA

in this problem you're going to use SOH, which is sine= opposite/hypotenuse

sin31=11/x

Multiply by x as a way to isolate it

x(sin31)=11

divide my sin31 to isolate x

x=11/sin31

x=21.35764429

Answer:

The answer is 21.4 when rounded to the nearest tenth!

Step-by-step explanation:

Answer:

(-308, -352)

Step-by-step explanation:

For a dilation from the origin, you multiply the x and y by the scale factor.

-7 * 44 = -308

-8 * 44 = -352

(-308, -352)

Answer:

$6380.38

Step-by-step explanation:

Floyd will be paid $2,504,880 each month.

Compound interest is an interest of interest to the principal sum of a loan or deposit. The concept of compound interest is the interest adding back to the principal sum so that interest is earned during the next compounding period.

Given that Floyd invests $1,000,000 in a 20-year annuity that earns 4.6% APR compounded monthly.

A = P(1+r)ⁿ

A = 1,000,000(1+0.046/12)²⁰⁽¹²⁾

A = 2,504,880

Hence Floyd will be paid $2,504,880 each month.

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Answer:

Step-by-step explanation:

Answer:

x = 40°

Step-by-step explanation:

The base angles of the triangle are 71° and 69° ( vertical angles ) , then

x = 180° - (71 + 69)° = 180° - 140° = 40°

Answer:

201.53[tex]m^{2}[/tex]

Step-by-step explanation:

That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.

Let's first find the hexagonal base.

The formula to find the area of a hexagon is [tex]\frac{3\sqrt{3}}{2}a^{2}[/tex], where a is the length of one side of the hexagon. In this question, a = 6m

Solve that to find that the area of the hexagon is 93.53m^2.

Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.

6 * 6 = 36

36 / 2 = 18

Hence, the area of one triangle is 18m^2

However, there are six triangles - not just one!

6 * 18 = 108

Adding everything up:

93.53 + 108 = 201.53

The answer is 201.53m^2