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Rainbow [258]
2 years ago
5

A flagpole casts a 13-foot shadow on the ground when the sun is at a 68° angle of elevation.

Mathematics
1 answer:
Ymorist [56]2 years ago
8 0

Step-by-step explanation:

<u>Step 1:  List out all of the formulas for the trigonometric functions </u>

<em>sin(x) </em>= opposite/hypotenuse

<em>cos(x) </em>= adjacent/hypotenuse

<em>tan(x)</em> = opposite/adjacent

<u>Step 2:  Find the value of h </u>

cos(68) = 13/unknown is FALSE

cot(68) = 13/h is FALSE

sin(68) = h/unknown is FALSE

tan(68) = h/13 is TRUE

Answer: The correct option would be D

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Given f(x) = 1/2x describe the transformation g(x) = 2f (x)?
My name is Ann [436]

Answer:

f(x) + d.

Step-by-step explanation:

3 0
3 years ago
When shopping for a personal loan, why is it important to limit the amount of loan applications you submit?
Korvikt [17]

Answer:

The best answer is actually, When shopping for a loan, do not submit too many applications. Each time you submit an application, the lender will do a hard inquiry on your credit score. Having too many hard inquiries at one time will negatively affect your credit and raise your interest rate.

this is 100% correct

4 0
3 years ago
Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.
Mice21 [21]

Answer:

<em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

Step-by-step explanation:

Making factors of 8y^{6}+ 144y^{5}+ 640y^{4}

Taking 8y^{4} common:

\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)

Using <em>factorization</em> method:

\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times  4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)

Now, Making factors of 2y^{4} + 40y^{3} + 200y^{2}

Taking 2y^{2} common:

\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)

Using <em>factorization</em> method:

\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10)        ............ (2)

The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is 2y^{2} (y+ 10).

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

HCF \times LCM = p \times q

Using equations <em>(1)</em> and <em>(2)</em>: \Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)

Hence, <em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

5 0
3 years ago
HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HEL
Anuta_ua [19.1K]

Answer:yes

Step-by-step explanation:

There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

6 0
3 years ago
Read 2 more answers
a kittens heartbeat can be as fast as 240 beats per minute . to find the number of times a kittens heart beats in 30 seconds , A
Alina [70]
I do not agree. If you divide 240 by 30, it would be 8 heartbeats, which is absurd. It's impossible for something to survive with 8 heartbeats per 30 seconds.
In order to get the CORRECT answer, divide 240 by 60 seconds.
This would give you 4 heartbeats per second.
Then, multiply it by 30 seconds, which would give you 120 heartbeats.

CORRECT answer: 120

5 0
3 years ago
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