The measures of the legs of a right triangle are 15 m and 20 m. What is the length of the hypotenuse?
A. 625 m
B. 35 m
C. 30 m
D. 25 m

Answer:

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to find the Volume of a Triangular Prism.}[/tex]

[tex]\large\underline{\textsf{What is Volume?}}[/tex]

[tex]\textsf{Volume is the amount of space a figure occupies. Volume is measured in Cubic units.}[/tex]

[tex]\large\underline{\textsf{We are Given;}}[/tex]

[tex]\textsf{The Height is 6.1m. Keep in mind that the Height is the Perpendicular Distance}[/tex]

[tex]\textsf{between 2 bases.}[/tex]

[tex]\textsf{The base is; (4.4 x 2.5).}[/tex]

[tex]\textsf{The Height of the Triangle is 2.5m.}[/tex]

[tex]\large\underline{\textsf{Necessary Formulas;}}[/tex]

[tex]\mathtt{Volume=(Base) \times Height}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\large\underline{\textsf{For this Problem;}}[/tex]

[tex]\mathtt{Volume=(Triangles' \ Area) \times Height}[/tex]

[tex]\large\underline{\textsf{The area of a Triangle is;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\textsf{Find the area of the base first.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (4.4 \times 2.5)}[/tex]

[tex]\boxed{\mathtt{Area = 5.5m^{2}.}}[/tex]

[tex]\textsf{We know the Base, now let's find the volume of the figure.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Volume=5.5 \times 6.1}[/tex]

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Find the \boxed{\bf volume} of a triangular prism is:}[/tex]

[tex]\mathsf{\dfrac{1}{2}(\boxed{\bf b}ase\times\boxed{\bf h}eight\times\boxed{\bf l}ength) = \boxed{\bf v}olume}[/tex]

[tex]\huge\textsf{Your \boxed{\bf equation} should look like:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\huge\textsf{\boxed{\bf Step-by-step} explanation can be:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 0.5\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 2.2\ m\times 15.25\ m}[/tex]

[tex]\mathsf{volume = 33.55}[/tex]

[tex]\huge\textsf{Therefore your \boxed{\bf answer} should be:}[/tex]

[tex]\huge\boxed{\mathsf{volume = 33.55m^2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Quadratic equations are polynomial equations of degree 2. They can be written in the form ax² + bx + c = 0, where a, b, and c are constants. The graph of a quadratic equation is a parabola.

Transformations involve shifting or reflecting the graph of a quadratic equation. The most common transformations are shifting the graph left or right (by adding or subtracting a constant from x), shifting the graph up or down (by adding or subtracting a constant from y), and reflecting the graph across the x-axis or y-axis.

The axis of symmetry is a vertical line that divides the parabola into two symmetrical halves. The equation of the axis of symmetry for a quadratic equation of the form y = ax² + bx + c is x = -b/2a.

The vertex is the point on the parabola where it reaches its maximum or minimum value. The vertex of a quadratic equation of the form y = ax^2 + bx + c is (-b/2a, c - b²/4a).

The domain of a quadratic equation is the set of all real numbers for which the equation is defined. The range is the set of all possible y-values that the equation can take. You can find the domain and range of a quadratic equation by looking at its graph.

In recognizing quadratic equations, you can tell if an equation is quadratic by looking at the powers of the variables. A quadratic equation will always have a variable raised to the power of 2.

When substituting negative numbers into a quadratic equation, it can be helpful to use parentheses to avoid confusion. For example, to evaluate y = x² - 4x - 6 at x = -2, you would write y = (-2)² - 4(-2) - 6 = 16 + 8 - 6 = 18.

Learn more about quadratic on

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Answer:this question does not make sense to fix it and ask again

Step-by-step explanation:

Shakes are 2,8,24 mice are 5,20,60

the equivalente are 2:5, 8:20 and 24:60

Answer:

-34.5 > x

Step-by-step explanation:

Answer: hope this helps ♡

1.) x = -21

2.) x = 18

3.) x = 3

Step-by-step explanation:

(minus&minus = plus)       (minus&plus = minus)        (plus&minus = minus)

1.) 25 - 3x = 88

25 - 25 - 3x = 88 - 25

-3x = 63

-3x ÷ 3 = 63 ÷ 3

-x = 21 → x = -21

2.) -11 = 7 - x

-11 - 7 = 7 -7 -x

-18 = -x

18 = x → x = 18

3.) 95 = -4 + 33x​

95 + 4 = -4 + 4 + 33x

99 = 33x

99 ÷ 33 = 33x ÷ 33

3 = x → x = 3

[tex] \text{1 ] 25 - 3x = 88 }[/tex]

[tex] \rm{↣25 - 3x = 88} \\ \rm↣- 3x= 88 - 25 \\ \rm↣- 3x = 63 \\ \rm↣x = \cancel \frac{63}{ - 3} \\ \underline{ \underline{\rm ↣\purple{ \: x = -21 \: }}}[/tex]

[tex] \: [/tex]

_________

[tex] \text{2 ] -11 = 7 - x }[/tex]

[tex] \rm \: ↣-11 = 7 - x \\ \rm↣ -11 - 7 = -x \\ \rm↣ \cancel- 18 = \cancel -x\\\underline{ \underline{ \rm↣ \pink{x = 18}}}[/tex]

[tex] \: [/tex]

_________

[tex] \text { 3 ] 95 = -4 + 33x }[/tex]

[tex] \rm \: ↣ 95 = -4 + 33x \\ \rm↣ 95 + 4 = 33x \\ \rm↣ 99 = 33x \\ \rm ↣ \cancel \frac{99}{33} = x \\ \rm ↣3 = x \\ \underline{ \underline{\rm \color{hotpink}↣x = 3}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

Answer:

B. 8 dozen

Step-by-step explanation:

Let r = number of dozens of roses.

Let c = number of dozens of carnations.

c + r = 18

9c + 16r = 218

-9c - 9r = -162

9c + 16r = 218

        7r = 56

r = 8

Answer: B. 8 dozen

Answer: Its 8 dozen

Step-by-step explanation: 1. you multiply 8 times 16 and you get $128

2. you then multiply the remaining carnations by 9.    9 times 10 is $90

3. $128 + $90 is $218

Answer: 145

Step-by-step explanation: 180 is a staight line so 180-35=145 would make sense

Answer:

C    y = 5/8 x

Step-by-step explanation:

y = kx

5 = k × 8

k = 5/8

y = (5/8)x

Hello,

It's easy, you can use the multiply, so you must have 5 tickets for getting $12.50 so here's the equation : 2.50 x 5 = 12.50.

PS : Sorry about my english, don't hesitate to ask me again.

Answer:

Ok

Step-by-step explanation:

hexagon

regular polygon

Pentagon

Answer:

hexagon

Pentagon

Step-by-step explanation: :/

Answer:

x=12.5% (hope this right if not I am so sorry)

Answer Explanation:

let x%= annual interest rate

deposit = $800

interest earning period = 24 months = 24/12 years

interest earned = $200

so $200 = $800 * x /100* 24/12

200 = 800 * x/100 * 2

solve for x,

x = 12.5% per annum

Answer: X = 12.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the number of gallons of gas used by car 1 at 25 mpg and car 2 at 40 mpg when the total gas used for driving 2025 miles is 60 gallons.

Let x represent the number of gallons used by car 2 at 40 miles per gallon. Then the gas used by car 1 is (60 -x). The number of miles driven is the product of miles per gallon and gallons used.

  25(60 -x) +40x = 2025 . . . . total miles driven

Simplify the equation:

  1500 +15x = 2025

  15x = 525 . . . . . . . . . . subtract 1500

  x = 35 . . . . . . . . . . divide by 15

  60-x = 25 . . . . . gallons used by car 1

The first car used 25 gallons; the second car used 35 gallons.

__

Additional comment

The first car drove 25·25 = 625 miles; the second car drove 40·35 = 1400 miles.

Answer:

2x+6-6x-18

-4x-12

Step-by-step explanation:

Your first distributing then your combining like terms,finally you cannot evaluate the answer anymore.

Answer:64

Step-by-step explanation:

it means you should mutliply 4 with itself 3 times:

4*4*4=64

Answer:

64

Step-by-step explanation:

4^3 = 4*4*4=64

Answer:

-6 ; 3

Step-by-step explanation:

Answer:20

Step-by-step explanation:

solve for y:
y=180-125

Y=55

Solve for x:

x=180-(105+55)

x=20

Answer:

All 3 angles ultimately have to equal 180.

We have 1 angle known which is 105.

The other number given is 125 and the angle right next to it added with 125 should also equal 180.

180-125=55

Second angle is 55

Add the two angles known,

55+105=160

180-160= 20

x= 20

Check:

105+55+20=180 so its true

Step-by-step explanation:

Brainliest pls^^

Step-by-step explanation:

Y^5 * Y^3  /  Y^2   =  Y ^(5+3 -2) = Y^6

Rewrite the division as a fraction.

[tex]\dfrac{y^5\times y^3}{y^2}[/tex]

Multiply y⁵ by y³ by adding the exponents.

[tex]\dfrac{y^8}{y^2}[/tex]

Cancel the common factor of y⁸ and y²

[tex]\bold{y^6}[/tex]

Answer:

811

explanation.

142=−953−142+953=−953+953

Answer:1.5

Step-by-step explanation:

Answer:

2*30=15+2*3.5=37%

Step-by-step explanation:

Answer:

He spends $37 each.

Step-by-step explanation:

If you add together the spent money then you get $37:

$30 + $7 = $37

Answer:

3 times more

Step-by-step explanation:

mangos: m = 108

portugals:  p

oranges:     o = 3p

108 + p + 3p = 540

108 + 4p = 540

4p = 540-108 = 432

p = 432/4 = 108

o = 3p = 3(108) = 324

324/108 = 3  there are 3 times more oranges than portugals

Answer:

1620

Step-by-step explanation:

540 X 3 = 1620

Answer:

B for alyssa  : $0.29 per oz, or 29 cents per oz.

Step-by-step explanation:

find common denominator

1x3=3 5x3=15  so 3/15

2x5=10 3x5=15 so 10/15

To find a unit rate, divide the numerator AND denominator by the denominator. The rate is $6.99/24.2 ounces. We will divide $6.99 by 24.2, and 24.2 ounces by 24.2. The answer will be $0.288843/1 ounce. If we round, it will be $0.29/1 ounce.

Answer: Volume ≈ 56.55

Step-by-step explanation:

56.54867 is the answer, but I rounded it. I hope this helped! :)

Answer:

18π cubic inches

Step-by-step explanation:

First, we need to find the radius of the cone, which is half of the diameter.

radius = diameter/2 = 6/2 = 3 inches

The formula for the volume of a cone is:

V = 1/3 × π × r^2 × h

where r is the radius of the base of the cone, and h is the height of the cone.

Substituting the values we get:

V = 1/3 × π × 3^2 × 6

V = 1/3 × π × 9 × 6

V = π × 18

Answer:

duh

Step-by-step explanation:

-0.1 is greater than -0.2

Answer:-0.2 > -0.1

Step-by-step explanation:-0.2 > -0.1

Answer: Look at the key, count all of the shapes on the top by matching them with the key. Then look at the key again and the answers and find what matches.

Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles