The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle? (5 points) Select one: a. 2 square feet b. 4 square feet c. 6 square feet d. 8 square feet

Answer:

33 metros

Step-by-step explanation:

Esto puede simplemente asimilarse a un problema de trigonometria simple. El Vemos un faro con una altura de 7 m, observando una lancha a 12°. Se pide calcular la distancia de la lancha al faro, pero desde su base.

En este caso, necesitamos determinar ese lado. Observando la figura adjunta, podrás notar que solamente debemos calcular el cateto adyacente del triangulo formado entre el faro y la lancha y sus distancias. Para hacer eso, solo usamos la siguiente función trigonométrica:

tgθ = cat op / cat ady   (1)

De ahí despejamos el cat ady:

cat ady = cat op / tgθ

Reemplazando tenemos:

cat ady = 7 / tg12

cat ady = 32.93 m o solo 33 m.

Espero te sirva

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the boat and the lighthouse is 32.93 meters.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

Como se da que la altura del faro es de 7 m mientras que el ángulo de depresión es de 12°, por tanto, el ángulo entre el barco y la parte superior del faro también es de 12°.

Ahora, la función tangente de la trigonometría se puede escribir como,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distancia entre el faro y el barco}}\\\\\\{\text{Distancia entre el faro y el barco}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distancia entre el faro y el barco}} =32.93\rm\ m[/tex]

Por tanto, la distancia entre el barco y el faro es de 32.93 metros.

In English,

The question is AT THE TOP OF A 7 m HIGH LIGHTHOUSE, A BOAT IS SEEN WITH AN ANGLE OF DEPRESSION OF 12 DEGREES. CALCULATE THE DISTANCE BETWEEN THE BOAT AND THE FOOT OF THE LIGHTHOUSE.

As it is given that the height of the lighthouse is 7 m while the angle of depression is 12°, therefore, the angle between the boat and the top of the lighthouse is also 12°.

Now, the tangent function of the Trigonometry can be written as,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distance between the light house and the boat}}\\\\\\{\text{Distance between the light house and the boat}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distance between the light house and the boat}} =32.93\rm\ m[/tex]

Hence, the distance between the boat and the lighthouse is 32.93 meters.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Answer:

15

Step-by-step explanation:

Answer:

Draw a picture of this.  If the grade is 10.5 degrees, then the value of the angle is 90 - 10.5 = 79.5.

The length of this side, the hypotenuse, is 4

The base angle is 90.

therefore, the third angle is 10.5.

Step-by-step explanation:

Answer:

9:20

Step-by-step explanation:

9 males

11 + 9 total people

9 : 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

A. 165 ft²

Step-by-step explanation:

volume = (½×5×6) x 11

= 15 × 11

= 165 ft²

Answer:

Solution given:

base

length[l]=11ft

breadth =base[b]=5ft

height[h]=6ft

we have

Volume of triangular prism

=area of triangle *length=½(5*6)*11=165ft³

is a required volume.

Answer:

[tex]A=256\ units^2[/tex]

Step-by-step explanation:

The given figure shows a triangular pyramid having 16 units as height. The base of pyramid is triangle.

The area of a triangular pyramid is given by :

[tex]A=\dfrac{1}{3}bH[/tex]

Where

b is the area of base

[tex]A=\dfrac{1}{3}\times \dfrac{1}{2}\times B\times h\times H\\\\=\dfrac{1}{6}\times 12\times 8\times 16\\\\=256\ units^2[/tex]

So, the required area is equal to [tex]256\ units^2[/tex].

Answer:

The answer is A

Step-by-step explanation:

That is the answer

Answer:

A

Step-by-step explanation:

The domain is the values of x covered by the graph

The graph has closed circles at x = - 1 and x = 3 meaning x can equal both x = - 1 and x = 3 , then the domain is

- 1 ≤ x ≤ 3 → A

Answer:

x ≥ 1

Step-by-step explanation:

-30 + 8x ≥ -22

Add 30 to both sides.

8x ≥ 8

Divide both sides by 8.

x ≥ 1.

On the number line, click and hold in the middle of 0 and 2 (1) and drag all the way to the right to 12.

Answer:

I'm guessing that Liam doesn't want to buy a hat, so the inequality will be:

17x=80.

Answer:

-8 and 15

Step-by-step explanation:

yessir

Answer:

15 and -8

Step-by-step explanation:

15 x -8 = -120

15 + -8 = 15 - 8 = 7

Answer:

x= -5 or x=4

Step-by-step explanation:

Lets first turn this into quadratic formula form

(-1 ±[tex]\sqrt{1^2-4*1*-20}[/tex]) / 2

(-1 ± 9 )/2

-10 / 2   =x or 8/2 =x

x= -5 or x=4

It was hard to type it in the comments hope this helped

Answer:

30ft

Step-by-step explanation:

Answer:

69 need to be added

Step-by-step explanation:

1300 +69 = 1369

37 ²  = 1,369

square root of 1,369 is 37

Answer:

-18/15 or the slope is -1.2

Step-by-step explanation:

y2-y1 over x2-x1

-17-1 over 17-2

Answer:

A

Step-by-step explanation:

Answer: A 4\5

Step-by-step explanation:

Answer: $7.50

Step-by-step explanation: Divide 157.50 by 21

Answer:

4. B

(I'm not positive on what the answer to 5 is, so I won't guess bc I don't want u to get it wrong.)

Step-by-step explanation:

I know that the answer for 4 is B and I'll tell u why. B reads y = 1.5x

This means that when u multiply any number in the row marked "x" by 1.5 it should get the number that's right below it (in the "y" row).

This may sound confusing so let's add some context to it. When we chose the number 20 in the "x" row and multiply it by 1.5 the number we should get has to be 30 bc it's right below 20. In this case it IS so it is a true statement. Make sure to check the statement using different numbers from the row marked "x". (I already checked for u, but it's still a good tip to have )

HOWEVER, when we do a statement that does not correspond to the table

it will not give u a number that's below the row "x". If we use statement A, x = 1.5y that would mean that every number in row "y" should be the number on top of it (row "x") when multiplied by 1.5. This is a false statement bc 60 × 1.5 does not equal 40. If we keep trying with this statement, we will see that it's false. THE EQUATION THAT REPRESENTS THE DATA IN THE TABLE IS B.

Answer:

accounting=30, economics=15, only one=35

Step-by-step explanation:

a=2e

5 both

10 neither

40=a+e-5

45=a+e

45=2e+e

e=15

a=2e

a=30

f

Answer:

22 students are in the environmental club

Step-by-step explanation:

220 / 10 = 22

Answer:

22

Step-by-step explanation:

Answer:

it's neptune hun

Step-by-step explanation:

Answer:

Neptune

Step-by-step explanation:

Like Jupiter and Saturn, Neptune radiates more hear than it receives. ... The average temperature on Neptune is a brutally cold -373 degrees F. Triton, Neptune's largest satellite, has the coldest temperature measured in our solar system at -391 degrees F.

AB² = AC²+BC²

AB² = 9²+12²

AB²= 225

AB= 15

SinA = 12/15

A = Sin-¹(0.8)

M`A = 53°

M`B = 90- A = 90-53= 37°

Answer:

AB = 15

m ∠A  = 53.1°

m ∠B  = 36.9°

Step-by-step explanation:

[tex]AB^2 = AC^2+CB^2 \\AB^2 = 9^2 + 12^2 = 81 + 144 = 225\\AB = \sqrt{225} = 15[/tex]

[tex]sin A = \frac{opposite}{hypotenuse} = \frac{12}{15}\\\\A = sin^{-1} (\frac{12}{15})\\\\[/tex]

A = 53.13

m∠A  = 53.1°

∠A + ∠B + ∠C = 180°

53.1 +∠B  + 90 = 180

∠B = 180 - 90 - 53.1 = 36.9°

9514 1404 393

Answer:

  E.  25/4

Step-by-step explanation:

The right triangles are similar so the sides are proportional.

  short side/hypotenuse = x/10 = 10/16

  x = 100/16 = 25/4 . . . . . . multiply by 10

Answer: 8x−20

Step-by-step explanation:

Distribute:

=(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)

=12x+−18+−4x+−2

Combine Like Terms:

=12x+−18+−4x+−2

=(12x+−4x)+(−18+−2)

=8x+−20

Answer:

[tex]6 \times 2x = 12x\\ 6 \times - 3 = - 18 \\ - 2 \times 2x = 4x \\ - 2 \times 1 = - 2 \\ now \: add \: like \: terms \\ 12x - 4x = 8x \\ - 18 - 2 = 20 \\ \frac{ - 8x}{8} = \frac{20}{8} \\ x = 2.5 \: or \: \frac{5}{2} [/tex]

Step-by-step explanation:

brainiest please

Answer:

75 ballons in 3 hours

Step-by-step explanation:

We know the ratio min to balloon, 12:5.

A common factor of 60 is 12 and 5. We know that 5 balloons will come out of the 12 interval mark. [tex]5*5:12*5[/tex] So each hour, we get 25 balloons per hour. Multiply 3 on both sides of the equation to get the total amount of balloons. [tex]5*5*3:12*5*3[/tex]

So, 75 balloons is how many she can blow up in 3 hours.

Answer:

the correct answer is A, y=3.5x + 7