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Amanda [17]
3 years ago
9

Find each missing term. p:4 = 9:12 Explain step by step

Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

p=3

Step-by-step explanation:

p:4=9:12

We can rewrite this to p/4=9/12. This simplifies to 1/4p=3/4. We can multiply both sides of the equation by 4. Then we get p=3.

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Choose the equation that matches the following situation: For a field trip, 24 students rode in cars and the rest filled three b
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Answer:

96 = 24 + 3b

96 students in all, 24 in cars and the rest in 3 buses

8 0
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Х<br> Area of trapezoids<br> Find the area.<br> 6 cm<br> 3 cm<br> 3 cm<br> square centimeters
rodikova [14]

Answer:

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6 0
2 years ago
Help me please I could really use it!!!!
lyudmila [28]
It is A because you subsitute the x in the equation A) (2x-8)(7x+5)=0 x=4 x=5,7 (fraction)
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3 years ago
Find the longer leg of the triangle.
Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

  • The length of the hypotenuse (the side opposite to the right angle) is given.
  • The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let \text{Opposite} denotes the length of the side opposite to the 30^{\circ} acute angle, and \text{Adjacent} be the length of the side next to this 30^{\circ} acute angle.

\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}.

Similarly,

\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}.

The longer leg in this case is the one adjacent to the 30^{\circ} acute angle. The answer will be 3.

There's a shortcut to the answer. Notice that \sin{30^{\circ}} < \cos{30^{\circ}}. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the 30^{\circ} angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship \sin{\theta} < \cos{\theta} holds for all acute angles? (That is, 0^{\circ} < \theta?) It turns out that:

  • \sin{\theta} < \cos{\theta} if 0^{\circ} < \theta;
  • \sin{\theta} > \cos{\theta} if 45^{\circ} < \theta;
  • \sin{\theta} = \cos{\theta} if \theta = 45^{\circ}.

4 0
3 years ago
Read 2 more answers
There are 30 students in a class and 18 of them own at least one pet.
katrin2010 [14]

Answer:

18/30=3/5

Step-by-step explanation:

8 0
3 years ago
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