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Harlamova29_29 [7]

3 years ago

7

Please explain how to get the answer, with step by step explination. I would like to know, so I can do it by my self in the futu

re.

1 answer:

natulia [17]3 years ago

4 0

Answer:

(-8, 135°)

Step-by-step explanation:

(8, -45°) has magnitude 8 and direction -45°.

If we add 180° to the direction and change the sign of the magnitude, we'll have the same point.

(-8, -45° + 180°) = (-8, 135°)

You might be interested in

What is the solution to the equation 9 cubed x ≈ 7?

yulyashka [42]

<u>Answer</u>

7/729

<u>Explanation</u>

The question requires to you to find the value of x.

9³x = 7

729 x = 7

x = 7/729

4 0

3 years ago

Please help me with this trigonometry question:

zzz [600]

Answer:

The distance from A to B is 736.2 to the nearest tenth foot

Step-by-step explanation:

In ΔCAB

∵ m∠CAD = 30° ⇒ exterior angle of Δ at vertex A

∴ m∠CAD = m∠ACB + m∠ABC

∵ m∠ABC = 20°

∴ m∠ACB = 30° - 20° = 10°

We will use the sin rule to find the distance AB

∵ $\frac{sin20}{1450}=\frac{sin10}{AB}$

∴ $AB=\frac{1450(sin10)}{sin20}=736.1842936$ ≅ 736.2 to the nearest tenth foot

8 0

3 years ago

Determine if the following statement is true or false. (Enter TRUE if the statement is true, enter a counterexample if the state

ehidna [41]

Answer:

The answer is: the satement is FALSE.

Step-by-step explanation:

The first step is to transform the propositons in the statement into symbols:

A: m is any positive integer

B: n is any positive integer

C: mn is a a perfect square

D: m is a perfect square

E: n is a perfect square

After that we replace the symbols into the statement:

If A and B and C, then D and E

Logical connectives on the satement are:

p⇒q conditional (if ...,then...). For this connective the only case when is FALSE is when the antecedent is true and the consequent is false.
p ∧ q conjunction (p and q). For this connective the only case when is TRUE is when the two propositions are true at the same time.

So now, we are going to replace the logical connectives on the statement:

((A ∧ B) ∧ C) ⇒ (D ∧ E)

There is a hierarchy in logical connectives, first we evaluate those inside brackets. The principal connective is evaluated at the end. In this particular case, the principal connective is the conditional.

As we have five different propositions, the combinations are given by the following rule:

2^n= 2^5=32

32 different combinations

In figure 1, added bellow, it shows the construction of truth table.

In figure 2, added bellow, it shows the development of the truth table. In the development, we don't have as a result a tautology, therefore the statement is FALSE.

<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>

<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>

8 0

3 years ago

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Afina-wow [57]

Answer:

3rd option

Step-by-step explanation:

Given

x³ - 7x² - 5x + 35 ( factor the first/second and third/fourt terms )

= x² (x - 7) - 5(x - 7) ← factor out (x - 7) from each term

= (x² - 5)(x - 7)

5 0

2 years ago

Given circle X with radius 10 units and chord AB with length 12 units, what is the length of segment CX, which bisects the chord

andrew-mc [135]

Consider the circle with center X, as shown in the figure.

Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.

Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.

SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is

$\sqrt{ XB^{2}- CB^{2}} = \sqrt{ 10^{2}- CB^{6}}= \sqrt{100-36}= \sqrt{64}=8$ units.

Answer: 8 units

7 0

3 years ago