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2 years ago

A ratio can be simplified.

Mathematics

1 answer:

Yuri [45]2 years ago

8 0

Answer:

Yes, a ratio can be simplified.

Step-by-step explanation:

An example of this is 5:10, where it can be simplified down to 1:2.

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Una carretera recta tiene un ángulo de elevación de 3 grados respecto al plano horizontal. ¿Qué distancia hay que recorrer para

geniusboy [140]

Answer:

572.4 m

Step-by-step explanation:

Fórmula del ángulo de elevación =

tan θ = Opuesto / Adyacente

θ = 3 °

Opuesto = 30 m

Adyacente =?

Por eso

bronceado 3 = 30 m / x

Multiplicar cruzada

bronceado 3 × x = 30 m

x = 30 m / bronceado 3

x = 572.43410063m

Aproximadamente = 572.4 m

5 0

2 years ago

Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.

o-na [289]

Answer: $\text{Length of AG=}\frac{2\sqrt{63}}{3}$

Explanation:

Please follow the diagram in attachment.

As we know median from vertex C to hypotenuse is CM

$\therefore CM=\frac{1}{2}AB$

We are given length of CG=4

Median divide by centroid 2:1

CG:GM=2:1

Where, CG=4

$\therefore GM=2$ ft

Length of CM=4+2= 6 ft

$\therefore CM=\frac{1}{2}AB\Rightarrow AB=12$

In $\triangle ABC, \angle C=90^0$

Using trigonometry ratio identities

$AC=AB\sin 30^0\Rightarrow AC=6$ ft

$BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3}$ ft

$CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3}$ ft

In $\triangle CAN, \angle C=90^0$

Using pythagoreous theorem

$AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}$

Length of AG=2/3 AN

$\text{Length of AG=}\frac{2\sqrt{63}}{3}$ ft

5 0

2 years ago

Questions 1-6 please

MakcuM [25]

Question 1 is $6 \sqrt{2}$
question 2 is $4 \sqrt{5} + 3 \sqrt{2}$
question 3 is $6 \sqrt{2}$
question 4 is $8 \sqrt{3}$
question 5 is $\frac{ \sqrt{3}}{2}- \sqrt{3}$
question 6 is $5$

6 0

3 years ago

Which expression is equivalent to -3(2b + 9) + 5(-5b + 6)?

Nata [24]

Answer:

C is correct

Step-by-step explanation:

-3(2b+9) + 5 (-5b+ 6)

-6b-27 -25b +30

-31b+3

7 0

2 years ago

1. Find the simple interest.

Juliette [100K]

Answer:

The first one is 648 and the second one is 11,600

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers