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4 years ago

What is is the value of x if -18/6x=-22

Mathematics

2 answers:

saul85 [17]4 years ago

8 0

$x = \frac{22}{3}$
the answer is ☝

blagie [28]4 years ago

7 0

Answer:

x=22/3 is your answer

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The diagram shows how cos θ, sin θ, and tan θ relate to the unit circle. Copy the diagram and show how sec θ, csc θ, and cot θ r

DIA [1.3K]

Copy the diagram and show how sec θ, csc θ, and cot θ relate to the unit circle.

The representation of the diagram is shown if Figure 1. There's a relationship between sec θ, csc θ, and cot θ related the unit circle. Lines green, blue and pink show the relationship.

a.1 First, find in the diagram a segment whose length is sec θ.

The segment whose length is sec θ is shown in Figure 2, this length is the segment $\overline{OF}$ , that is, the line in green.

a.2 Explain why its length is sec θ.

We know these relationships:

(1) $sin \theta=\frac{\overline{BD}}{\overline{OB}}=\frac{\overline{BD}}{r}=\frac{\overline{BD}}{1}=\overline{BD}$

(2) $cos \theta=\frac{\overline{OD}}{\overline{OB}}=\frac{\overline{OD}}{r}=\frac{\overline{OD}}{1}=\overline{OD}$

(3) $tan \theta=\frac{\overline{FD}}{\overline{OC}}=\frac{\overline{FC}}{r}=\frac{\overline{FC}}{1}=\overline{FC}$

Triangles ΔOFC and ΔOBD are similar, so it is true that:

$\frac{\overline{FC}}{\overline{OF}}= \frac{\overline{BD}}{\overline{OB}}$ 

∴ $\overline{OF}= \frac{\overline{FC}}{\overline{BD}}= \frac{tan \theta}{sin \theta}= \frac{1}{cos \theta} \rightarrow \boxed{sec \theta= \frac{1}{cos \theta}}$ 

b.1 Next, find cot θ

The segment whose length is cot θ is shown in Figure 3, this length is the segment $\overline{AR}$ , that is, the line in pink.

b.2 Use the representation of tangent as a clue for what to show for cotangent.

It's true that:

$\frac{\overline{OS}}{\overline{OC}}= \frac{\overline{SR}}{\overline{FC}}$

But:

$\overline{SR}=\overline{OA}$
$\overline{OS}=\overline{AR}$

Then:

$\overline{AR}= \frac{1}{\overline{FC}}= \frac{1}{tan\theta} \rightarrow \boxed{cot \theta= \frac{1}{tan \theta}}$

b.3 Justify your claim for cot θ.

As shown in Figure 3, θ is an internal angle and ∠A = 90°, therefore ΔOAR is a right angle, so it is true that:

$cot \theta= \frac{\overline{AR}}{\overline{OA}}=\frac{\overline{AR}}{r}=\frac{\overline{AR}}{1} \rightarrow \boxed{cot \theta=\overline{AR}}$

c. find csc θ in your diagram.

The segment whose length is csc θ is shown in Figure 4, this length is the segment $\overline{OR}$ , that is, the line in green.

3 0

4 years ago

En la figura los segmentos ED y AC son paralelos selecciona los triangulos q son 1)Triangulo ABE 2)Triangulo BCD 3) Triangulo BD

Flauer [41]

Respuesta:

Los 3 triángulos son semejantes.

Explicación paso a paso:

En estos casos nos dan a conocer los ángulos de los triángulos, por lo tanto el criterios de semejanza se reduce si más de dos de sus ángulos internos son iguales.

Por lo tanto, sabemos que en los triángulos ABE y BCD presentan los mismos ángulos, 80°, 40° y 60° por lo que podemos afirmar que ambos triángulos son semejantes.

Ahora bien, para el triangulo BDE, podemos conocer solo un angulo del que es de 80°, pero el resto sería desconocido, lo que quiere decir que no podríamos determinar si es semejante con los otros, pero por medio de los ángulos externos determinamos que si corresponde también a 60° y 40°, por lo tanto, los 3 triángulos son semejantes.

3 0

4 years ago

CAN SOMEONE HELP? PLZZZZ AND THANK U!

Ivahew [28]

Answer:

4, 343

Step-by-step explanation:

numerator: 6-2=4; (4^2)^2=4^4;

denominator: 3+1=4; 4^3

thus, 4^4/4^3=4

numerator: (14-7)^9=7^9

denominator: ((3+4)^3)^2=(7^3)^2=7^6

thus, 7^9/7^6=7^(9-6)=7^3=343

3 0

4 years ago

If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat flour does she need?

Trava [24]

Ruby needs a cup of powdered milk and six cups of whole wheat to prepare four batches of pancakes.

Given the quantities of powdered milk and whole wheat to prepare a batch of pancakes, we can determined the total amount of each ingredient by simple rule of three:

Powdered milk

$x = 4\,batches\times \frac{1}{4}\,\frac{cups}{batch}$

$x = 1\,cup$

Whole wheat

$y = 4\,batches \times \frac{3}{2}\,\frac{cup}{batch}$

$y = 6\,cups$

Ruby needs a cup of powdered milk and six cups of whole wheat to prepare four batches of pancakes.

To learn more on simple rule of three (cross multiplication), we kindly invite to check this verified question: brainly.com/question/8647106

7 0

3 years ago

Hat equation represents this sentence?

Kipish [7]

Answer:

2nd option

Step-by-step explanation:

let the number be n then 7 less than this number is n - 7 , so

n - 7 = 16

7 0

2 years ago