find the volume of the triangular prism. thank you

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

[tex]tan(\theta) = \frac{CO}{CA}[/tex]

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

[tex]\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}[/tex]

Ahora, el ancho del río es:

[tex]CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m[/tex]

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

Answer:

[tex]m = \frac{3}{4}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The constant of proportionality

Select two points on the graph

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (4,3)[/tex]

So, the constant of proportionality (k) is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3-0}{4-0}[/tex]

[tex]m = \frac{3}{4}[/tex]

Answer:

See explanation

Step-by-step explanation:

Given:

5⁴/25 = 5²

25 = 5²

Then,

5⁴ / 25

= 5⁴/5²

Note:

• multiplication sign means addition in indices

• Division sign means subtraction in indices

Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers

So,

5⁴/5²

= 5^(4 - 2)

= 5^(2)

= 5²

Therefore,

5⁴ / 25 = 5²

Answer:

57°,123°,57°,123°

Step-by-step explanation:

as vertical angles are equal

so one angle=114/2=57°

other angle=180-57=123°

Answer:

pic pls

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

[tex]\frac{x^4}{x^7} =x^4 \times x^{-7} =x^{4-7} =x^{-3}[/tex]

Answer:

[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]

it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.

Two or more expressions with an Equal sign is called as Equation.

Let's start by using the formula for the combined work of two people:

1/t = 1/3 + 1/2

Here, t represents the number of hours it would take to clear the field together.

To solve for t, we can first find a common denominator for the fractions on the right-hand side of the equation:

1/t = (2/6) + (3/6)

1/t = 5/6

To isolate t on one side of the equation, we can take the reciprocal of both sides:

t/1 = 6/5

t = 1.2

Therefore, it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

No

Step-by-step explanation:

Because 1 don't equal to 16

Answer:

no

Step-by-step explanation:

* means multiply

(2,1)

x = 2

y = 1

just plug in the numbers

1 = 8*2 ?

1 = 16? no

Answer:

7

Step-by-step explanation:

Substitute x = 2 into the equation and evaluate

y = 5(2) - 3 = 10 - 3 = 7

Answer:

[tex]{ \tt{y = 5x - 3}} \\ y = (5 \times 2) - 3 \\ y = 7[/tex]

Answer:

[tex]volume = 2304\pi \ mm^3\\\\volume = 7234.56 \ mm^3[/tex]

Step-by-step explanation:

Radius , r = 12mm

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi (12^3)\\\\[/tex]

                      [tex]=\frac{4}{3} \pi \times 1728\\\\= 4\pi \times 576\\\\= 2304 \pi \ mm^3\\\\or \\\\= 7234.56 \ mm^3[/tex]

Answer:

3/18

Step-by-step explanation:

3/18= 0.16

10/3= 3.33

Answer:

3/18

Step-by-step explanation:

3/18 , 10/3

Simplify it to the smallest size

3/18 , 10/3

1/6 , 10/3

1/6 = 3/18

Answer:

18.29

Step-by-step explanation:

32000 ÷ 35 ÷ 50 = 18.2857143

Answer:

Step-by-step explanation:

Since f(x) = k, is constant the value of k is same for any x.

From the given points we see:

It means k = 1 and the function is:

The value of f(0) = 1

Answer:

On distributing the - sign outside the parenthesis we get,

-2h - 9.6k + 1

Answer:

5:15 simplified as 1:3

Step-by-step explanation:

Answer:

y + 3 = -1/2(x - 2)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify

Point (2, -3)

Slope m = -1/2

Step 2: Find Equation

Answer:

Volume of the cone given rounded to two decimal places is 1415.65in

Explanation:

Volume of a cone

[tex] = \pi {r}^{2} \frac{h}{3} [/tex]

[tex] = (3.14)( {9.9}^{2} )( \frac{14}{3} )[/tex]

[tex] = 3.14 \: \times \: 98.01 \: \times \: 4.6[/tex]

[tex] = 1415.65644[/tex]

Answer:

Step-by-step explanation:

An angle is cut in half by the bisector.

Since the given angle is 172, its bisector creates 2 equal angles.

2x = 172                 Divide both sides by 2

x = 172/2

x = 86

Step-by-step explanation:

I hope this will help you

Answer:

x = 140

Step-by-step explanation:

Given the equations

[tex]\frac{2}{5}[/tex] x - [tex]\frac{1}{5}[/tex] y = 98 ( multiply through by 5 to clear the fractions )

2x - y = 490 → (1)

[tex]\frac{2}{7}[/tex] x - [tex]\frac{1}{14}[/tex] y = 55 ( multiply through by 14 to clear the fractions )

4x - y = 770 → (2)

Subtract (1) from (2) term by term to eliminate y

2x + 0 = 280

2x = 280 ( divide both sides by 2 )

x = 140

Choice C is the correct answer because

[tex]\frac{(6+2)^3-12}{5}\\\\\frac{(8)^3-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100\\\\[/tex]

So in short, [tex]\frac{(6+2)^3-12}{5}=100\\\\[/tex]

------------------------------------------

The mistake Jerry likely made was that he only cubed the 2 and didn't realize the 6 was part of that cubing process. It seems he didn't add first and decided to cube before adding.

This is probably what steps Jerry did

[tex]\frac{6+2^3-12}{5}\\\\\frac{6+8-12}{5}\\\\\frac{14-12}{5}\\\\\frac{2}{5}\\\\[/tex]

But as mentioned, those steps are incorrect because the 6 is part of the cubing operation. In other words, Jerry should have added the 6+2 first before cubing afterward (due to PEMDAS determining the order of operations).

Or you could think of it like this

[tex]\frac{(6+2)^3-12}{5}\\\\\frac{(6+2)(6+2)(6+2)-12}{5}\\\\\frac{(8)(8)(8)-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100[/tex]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the vertices of the triangles is missing.

However, the following formula can be used to calculate distance;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Take for instance:

[tex]A = (1,8)[/tex]

[tex]A' = (7,8)[/tex]

The distance between both is:

[tex]d = \sqrt{(1- 7)^2 + (8- 8)^2}[/tex]

[tex]d = \sqrt{(-6)^2 + 0^2}[/tex]

[tex]d = \sqrt{36 + 0}[/tex]

[tex]d = \sqrt{36}[/tex]

Take square root

[tex]d = 6[/tex]

Apply the above steps to the complete question

Answer:

A D 3 3

B E 3 3

C F 3 3

A G 5 5

B H 5 5

C I 5 5

A J 6.4 6.4

B K 6.4 6.4

C L 6.4 6.4

Step-by-step explanation:

PLATO ANSWER

Answer:

The third one

Step-by-step explanation:

Answer:

-60x

Step-by-step explanation:

[tex]\displaystyle\bf \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]

Answer:

Step-by-step explanation:

a² -2(a+b) - b² = a² - 2a - 2b -b²

                       = a² - b² - 2a - 2b

                       = (a+b)(a-b) - 2 (a+b)

                      = (a+b)(a - b - 2)

Answer:

151200

Step-by-step explanation:

We can start by essentially taking off the E at the end, meaning that we want to find all the combinations of

EVANESCENC. We can do this because the combinations will have an E at the end by default.

To solve this, we have to figure out the amount of letters and the amount of each letter. There are 10 letters, with 3 E's, 2 C's, 2 N's, 1 S, 1 V, and 1 A. Using the formula [tex]\frac{n!}{n1!n2!...nk!}[/tex] , with n representing the amount of letters and each subset of n representing the amount of each letters, our answer is

[tex]\frac{10!}{3!2!2!1!1!1!} = \frac{10!}{3!2!2!} = 151200[/tex]

Answer:

-2x+7

Step-by-step explanation:

Answer:

71.4 degrees Celsius or 183.4 degrees Fahrenheit.

Step-by-step explanation:

The boiling point of water is 100 degrees Celsius.

I assume you mean the liquid's temperature is 28.60 degrees Celsius lower than the boiling point of water, so 100 - 28.6 = 71.4.

Therefore the liquid is 71.4 celsius.

If you wanted the temperature in Fahrenheit, the answer is 212 - 28.6 = 183.4 degrees Fahrenheit.

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.