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Snowcat [4.5K]
3 years ago
7

Can I have help :< Im stuck and confused

Mathematics
2 answers:
lesya [120]3 years ago
4 0

Answer:

B (the one upper right)

Step-by-step explanation:

1. X is at most, something, so x is = or <

2. X is at most 500 more than twice y ---> (2y + 500)

3. X ≤ 2y +500

4. Profits will be over 22500, so 22500 is less (<) than profit

5. Square of profits are 35 times x and 50 times y

6. P^2 = 35x + 50y

7. P = Square-root of (35x + 50y)

8. 22500 < Square-root of (35x + 50y)

Answer is (3) and (8), which is B

NeTakaya3 years ago
3 0

Answer:

2 one         0       0 this one

                  0        0

Step-by-step explanation:

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Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t
katrin2010 [14]

Answer:

\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \triangle ACD and the hypotenuse of \triangle ADB.

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \angle CAD. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}

Now use this value in the Law of Sines to find AD:

\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}

Recall that \sin 45^{\circ}=\frac{\sqrt{2}}{2} and \sin 60^{\circ}=\frac{\sqrt{3}}{2}:

AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}

Now that we have the length of AD, we can find the length of AB. The right triangle \triangle ADB is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio x:x\sqrt{3}:2x, where x is the side opposite to the 30 degree angle and 2x is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent 2x in this ratio and since AB is the side opposite to the 30 degree angle, it must represent x in this ratio (Derive from basic trig for a right triangle and \sin 30^{\circ}=\frac{1}{2}).

Therefore, AB must be exactly half of AD:

AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24

3 0
3 years ago
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If you deposit $900 today, how
damaskus [11]

we need help? can somebody answer this question

4 0
3 years ago
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The penny size of a nail indicates the length of the nail. The penny size d is given by the literal equation d=4n−2, where n is
sleet_krkn [62]
D=4n-2, d+2=4n-2+2, d+2=4n
(d+2)/4=(4n)/4, 1/4d+1/2=n
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size 3=
n=1/4*3/1=3/4, 3/4+1/2=5/4=1 1/4
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6 0
3 years ago
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It costs Mrs. Smith $4.00 to make a pie. She sells them for $12 each. What is the Markup rate (percent)?
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4 0
2 years ago
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A dozen eggs cost 3.84 at this rate how much would 50 eggs cost
Zina [86]

Answer:

50 eggs would cost 16$

Step-by-step explanation:

A dozen eggs is 12. So for 4 dozen eggs, you get 48. 48 eggs is 15.36$. If you divide the 3.84 to 12, you will get the individual price for each egg. The individual price for each egg is .32 cents. You need to add 2 more eggs to the 4 dozen to get 50 eggs. You times .32 to 2 and you get .64. After that you add .64 to the price of the 4 dozen eggs and you will get 16$

Simple version:

dozen eggs =12, cost 3.84$

4 dozen eggs= 48, cost 15.36$

3.84$ divided by 12 = .32 cents (price of the individual egg)

Add two of the individual eggs together and add it to 15.36$

:)

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