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Tom [10]
3 years ago
14

Which inequality best represents the situation in which you must be at least 42 inches tall to ride the roller coaster

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
6 0
42  \leq x

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6= 7-2/3x what does x equal
user100 [1]
I think that x would equal 1.5 :)
6 0
3 years ago
The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.
taurus [48]

Answer:

A\approx 28^{\circ}

Step-by-step explanation:

Please find the attachment.  

We have been given that area of triangle ABC is 3√2 square inches.

\text{Area}=\frac{1}{2}\text{Base}\times \text{height}

We know that area of triangle an be found using trigonometry as:

\text{Area}=\frac{1}{2}\times c\times h

\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)

3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)

3\sqrt{2}=9\cdot \text{sin}(A)

9\cdot \text{sin}(A)=3\sqrt{2}

\text{sin}(A)=\frac{3\sqrt{2}}{9}

\text{sin}(A)=\frac{\sqrt{2}}{3}

Now, we will use inverse sine to find the value of angle A as:

A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})

A=28.1255057^{\circ}

A\approx 28^{\circ}

Therefore, the measure of angle A is approximately 28 degrees.

3 0
3 years ago
-2<br> Find the slope of the line y = 3x -<br> X – 8.
lesantik [10]

Answer:

y

y = 3x - x - 8 = y = 8x

7 0
3 years ago
Please help me with this question with full solutions!!!
Novay_Z [31]

Answer: Choice C

x/w and z/(y+v)

======================================================

Explanation:

All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.

Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).

So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w

x/w is one of the answers

-----------

Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z

Therefore,

sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)

z/(y+v) is the other answer

Side note: triangle ACD is not used at all.

5 0
3 years ago
Read 2 more answers
6.) Convert 7.5 quarts to liters
Serjik [45]

Answer:

7.5 quarts is equal to 7.098 liters

Explanation:

multiply the value in quarts by the conversion factor '0.946352946'. So, 7.5 quarts = 7.5 × 0.946352946 = 7.097647095 liters.

8 0
3 years ago
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