Felix built a ramp based on the scale drawing below. If the height of Felix's ramp is 6 inches

from the ground, how long is the part of the ramp that is on the ground?

1 in.

12 in.

60 in.

24 in.

72 in.

17 in.

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]

[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]

[tex]59^\circ+m\angle I=180^\circ[/tex]

[tex]m\angle I=180^\circ-59^\circ[/tex]

[tex]m\angle I=121^\circ[/tex]

According to Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]

[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]

[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]

Multiply both sides by 0.8572.

[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]

[tex]530.44554=i[/tex]

[tex]i\approx 530[/tex]

Therefore, the length of i is about 530 inches.

Answer:

2) x < 3

Step-by-step explanation:

The graph has an open circle (representing the signs < >) and its on the point "3". Since the line is going towards the left, it means x is less than 3. Therefore, the answer is 2) x < 3

Answer:

Can you add if you can add you have to add up every thing and the answer will be

Answer:

the correct answer is D

Step-by-step explanation:

because the -9 5/8 is in absolute value marks.

Step-by-step explanation:

a=4

b=6

c=2

ab=?

now

ab=a*b

=4*6

=24

Answer:

ab is 24

Step-by-step explanation:

a=4, b=6                                                                                                                   ab is a times b                                                                                                          4 times 6 equals 24                                                                                                    4*6=24                                                                                                                     your answer will be 24

Answer:

Because 5 + 9 = 9 + 5

Step-by-step explanation:

Answer:

Choice a is the correct answer

Step-by-step explanation:

Equalvalent expressions are two expressions that result with the same answer.

pls mark me brainiest

Answer:

336 ft ²

Step-by-step explanation:

Find the area of the two triangles

In this case, both triangles are the same, so we can modify the formula for area of triangle

In the formula, we divide by two, but because we multiply the area by two for the two triangles, we can just use base x height

Triangles = 6 x 8 = 48 ft²

top rectangle = 10x12 = 120 ft²

bottom rectangle = 8x12 = 96 ft²

back rectangle = 6x12 = 72 ft²

Total = 48 ft² + 120 ft² + 96 ft² + 72 ft² = 336 ft²

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

62

Step-by-step explanation:

Khan Academy. I got this correct, so trust me :)

The measurement of the angle A for the considered triangle is found being of 62° approximately.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

For the considered triangle, we can use sine rule.

In triangle ABC, we're given that:

The side opposite to angle A is BC and the side opposite to angle B is AC. Thus, by sine law, we get:

[tex]\dfrac{\sin(m\angle A)}{|BC|} = \dfrac{sin(m\angle B)}{|AC|}\\\\\dfrac{\sin(m\angle A)}{15} = \dfrac{\sin(28^\circ)}{8}\\\\\sin(m\angle A ) \approx \dfrac{15 \times 0.46947}{8} \approx 0.88026\\\\m\angle A \approx \sin^{-1}(0.88026)\\\\m\angle A \approx 61.67^\circ, 118.32^\circ[/tex]

But since angle A is acute(angle with measure of less than 90 degrees), thus, m∠A ≈ 61.67° ≈ 62°

Thus, the measurement of the angle A for the considered triangle is found being of 62° approximately.

Learn more about law of sines here:
https://brainly.com/question/17289163

Answer:v=9

Step-by-step explanation:

6v-4=50

+4 +4

6v=54

divide both sides by 6

v=9

:))

Answer:

I think it's 50

Step-by-step explanation:

48

49

50

51

52

50 8s inbetween the two

Answer:

Step-by-step explanation:

7x + 3= 24

7x= 24-3

7x= 21

x= 21/7

x= 3

Then we have that

5-4x

5-4(3)

5-12

Answer= -7

Answer:

990.56

Step-by-step explanation:

because, Distance=velocity× time

Answer:

- 7x + 3

Step-by-step explanation:

2x - 9x + 13 - 10

- 7x + 13 - 10

- 7x + 3

Answer:

25 in^2

Step-by-step explanation:

So the area of a triangle is (Base * Height) / 2. The base, which is where the triangle "sits" is 10 in. The height is 5 in.

With this, these numbers can both be plugged in to get the answer:

(10 * 5) / 2

50/2

25 in^2

It is squared after the units since it is the area.

Answer:

1/2 chance

Step-by-step explanation:

there are 3 even numbers and three odd numbers, and 3 is half of 6

Answer: 0.5

Step-by-step explanation:

You need to use

Brackets

Indices

Division

Multiplication

Addition

Subtraction

7 + 5 =12

12 - 16 = -4

-4 / 8 = -0.5

-0.5 + 3 = 2.5

2.5 - 2 = 0.5

Answer: 4

Step-by-step explanation: 7+5=12

12×2=24

24- (4×4)= 24-16=8

8÷8=1

1+3=4

Answer:

here is your answer

x²-9

Answer:

Step-by-step explanation:

$77

Answer:

38.2

Step-by-step explanation:

d^2=1458

d=38.18

Answer:

4 units to the right

Step-by-step explanation:

the bigger units subtracted by the smaller units and the direction it is going

Answer:

I'm pretty sure the answer is D because a net force can't be just balanced to one side if there are two different forces, I hope this helps.

Step-by-step explanation:

Answer:

Total appearances = 9+180+3 = 192. It is obvious that the most frequent digit is 1. Number of digits from 1 to 1000. Total = 2893.

Answer:

[tex]E=2.15\times 10^{-4}\ J[/tex]

Step-by-step explanation:

Given that,

The capacitance of the capacitor, [tex]C=2.2\times 10^{-6}\ F[/tex]

Voltage of the power supply, V = 14 V

We need to find the energy stored in the capacitor.

The formula for the stored energy in the capacitor is given by :

[tex]E=\dfrac{1}{2}CV^2[/tex]

Put all the values,

[tex]E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J[/tex]

So, [tex]2.15\times 10^{-4}\ J[/tex] of energy is stored in the capacitor.

Answer:

[tex] {6}^{2} \times \pi \times 15 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {6}^{3} = 19 \times {6}^{2} \times 3.14 = 2147.76[/tex]

Answer:

Step-by-step explanation:

Hemisphere Formula: ( 2 / 3 ) πR = V

Substitution: ( 2 / 3 ) 3.14 * 6 = 12.56

Cylinder Formula: πR^2 * H = V

Substitution: 3.14 * 6^2 * 15 = 1695.6

1695.6 + 12.56 = 1708.16

Please give me Brainliest if I'm correct ! :)

Answer:

g(x)=(x+5)^2

Step-by-step explanation:

the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive

g(x)=(x+5)^2

(x+5)^2=0

x+5=0

x=0-5

x=-5

Good Studies!!!

Answer:

E

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

10+10+10+10+10+10+9=69

Answer:

its simple girl;;;;;

ans=69

(Ohh dear don't leave the question with this big pts!!! )