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PSYCHO15rus [73]
3 years ago
8

Find the x-intercept and y-intercept

Mathematics
1 answer:
murzikaleks [220]3 years ago
5 0
This should be the answer
y= 7/4x + 14
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From a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72°54'. How far is the headquarters from a
Volgvan
If you take a look at my really poorly drawn diagram, we can see it is a trigonometry problem. The angle, however, is outside the triangle, and we can find the angle inside the triangle next to it by taking it away from 90°:
90°0' - 72°54' = 17°6' ≈ 17.1°.
We can find the other angles becuase one is 90° and the other is:
180°-90°-17°6'=72°54' ≈ 72.9°(which you can see if you know your angle theorems).

We now have diagram 2, nicely simplified so we can see where to go.
Using the Sine Rule, i.e.
\frac{sin(A)}{a} = \frac{sin(B)}{b}
We can rearrange to find our length b:
b=a \frac{sinB}{sinA}
Substituting numbers in:
b=1191 \frac{sin(17.1)}{sin(72.9)} =366.399...ft
b=366 feet.

8 0
3 years ago
Naoko has $900 in her account and plans to take $45 out each week. Gus has $252 in his account and plans to add $27 each week. A
KonstantinChe [14]
The answer is 495 dollars
3 0
3 years ago
2<br> Solve for k.<br> -8k+ 6 = –10k + 10<br> k
Sever21 [200]

Answer:

k=2

Step-by-step explanation:

8 0
3 years ago
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How do i use properties of exponents
STatiana [176]
You can use the properties of exponents in three ways: Products of Power and Power to Power


Explanation:

Product of a Power: When you multiply exponentials with the same base, you add their exponents

Power to a Power: When you have a power to a power, you multiply the exponents.
Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents.
3 0
3 years ago
Given the regular octagon, what is the length of any side?
Jlenok [28]

Answer:110

Step-by-step explanation:x^2+17x=15x+35

x^2+17x-15x-35=0

x^2+2x-35=0

delta=2^2-4*1*(-35)=4+140=144

x1=(-2+V144)/2=(-2+12)/2=10/2

x=5

so 15*5+35=75+35=110

3 0
3 years ago
Read 2 more answers
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