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3 years ago

Rational number that is between 9.5 and 9.7. Explain why it is rational.

Mathematics

1 answer:

Marina86 [1]3 years ago

4 0

9.6 cause it can be a fraction or ratio

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Given the equation y=3(2)* + 2, what is the value of y when x = 4?

Usimov [2.4K]

Answer: It will be 50

Step-by-step explanation:

8 0

3 years ago

A point X is 34m due east of a point Y.The bearing of a flagpole from X and Y are N18W and N40E respectively calculate the dista

neonofarm [45]

Answer:

The answer is "38.130".

Step-by-step explanation:

Given:

$Points (Y, X) \\\\F (flagpole)\ make\ a \ triangle$

Draw Y and X triangles on the underside, and F above them.

Because F is $18^{\circ}$ west from X, so FXY angle measurement $FXY = 72^{\circ}$ from X because F is located $40^{\circ}$ east of north from Y, then

measure of angle $FYX = 50^{\circ}$

the measure of angle $YFX = 58^{\circ}$ $(3 \angle \ of\ triangle = 180^{\circ})$

Using Law of Sines: $\frac{\sine 58^{\circ}}{34} = \frac{\sine 72^{\circ}}{YF}$

Cross Multiply:

$YF (\sin 58^{\circ}) = 34(\sin 72^{\circ})\\\\$

$YF = \frac{34 \sin 72^{\circ}}{\sin 58^{\circ}}\\\\ YF = \frac{34(.951)}{(.848)}\\\\ YF = 38.130$

4 0

3 years ago

In which quadrant is the point (5, 8)

Ganezh [65]

(5, 8) has two positive numbers. In case you don't remember

Quadrant I: Both positive
Quadrant II: Negative x value, Positive y value
Quadrant III: Both negative
Quadrant IV: Positive x value, Negative y value

5 and 8 are Both Positive, therefore it is in quadrant I.

3 0

3 years ago

jermey wants to buy a new computer . the saleswomen says he can make a down payment and then pay for the computer in installment

hodyreva [135]

Answer:

The correct answer is:

$y=\frac{-x+t}{z} \\$

Step-by-step explanation:

We want to solve for the amount of money he pays each month. This is represented by y in the equation. This means we want to isolate y in the equation:

x = t - yz

We first want to subtract t from each side:

x - t = t - yz - t

x - t = -yz

Now we want to cancel the negative sign and z. We can isolate both of these at the same time; divide both sides by -z:

\frac{x-t}{-z} = \frac{-yz}{-z} \\ \\\frac{x-t}{-z}=y

We can divide the numerator by the negative sign; this gives us

\frac{-x+t}{z}=y

3 0

3 years ago

The vertex angle of an isosceles triangle measures 26° . The base is 30 units long. What is the length of a leg of the isosceles

sergejj [24]

Answer:

65.46 units

Step-by-step explanation:

Given the information:

The vertex angle of an isosceles triangle measures 26°

=> the leg angle is:

= (180° - 26° )/2

= 77°

The base is 30 units

Let x is the length of the leg side (x>0)

We use cosine law to find x, we have:

$30^{2}$ = $x^{2} +x^{2} -2xxCos(26)$ Because the isosceles has two equal leg sides

<=> $30^{2}$ = 2 $x^{2}$ - 1.79 $x^{2}$

<=> 0.21 $x^{2}$ = $30^{2}$

<=> $x^{2} =4285$

<=> x = 65.46 units

Hope it will find you well.

7 0

3 years ago