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2 years ago

While taking a ride in a hot air balloon in Napa Valley, Francisco wonders how high he is.

1 answer:

8 0

let landmark be at L
ZN = 100, NL = x (say)
tan 54 = (100+x)/H
100 + x = H tan 54 -------------- (1)
------------------------------
tan 61 = H/x ................ [alternate angle]
x = H cot 61 ------------------------- (2)
put x from (2) into (1)
H cot 61 + 100 = H tan 54
H = 100 / [tan 54 -cot 61]
H = 100 / [1.376 - 0.554]
H = 121.65 feet

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Solving literal equations Solve equation for y -x + 5y = 10

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Answer: y = 10 + x / 5

Step-by-step explanation:

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2 years ago

What is the estimated sum of 3 16/17 plus 6 1/5? The estimated sum is

weeeeeb [17]

Answer:

The estimated sum is ≈10

Step-by-step explanation:

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3 years ago

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Given f(x)=3^(x-2) and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur

klio [65]

Answer with Step-by-step explanation:

We are given that

$f(x)=3^{x-2}$

$g(x)=f(3x)+4$

We have to write the rule for function g and describe the transformation between f and g.

Compress the function by scale factor 3 and the translation rule is given by

$(x,y)\rightarrow (3x,y)$

Then, we get $h(x)=f(3x)=3^{3x-2}$

Now, shift the y coordinate 4 units above the origin.

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Then , we get

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2 years ago

The product of 5 and 2 less than triple a number equals the product of 7 and 8 more than twice the number. What is the number?

Oksi-84 [34.3K]

Answer:Hi,

Let the number be x

Twice the number is 2x

Five less than twice the number is 2x-5, which is given as 9

Therefore, 2x-5 = 9

or, 2x = 9+5

or, 2x = 14

or x=7

Thus the number is 7.

Cheers

Step-by-step explanation:

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2 years ago

Desiree works 28 hours per week. She has a monthly income of $120 from investments. Desiree also plays in a band one night a wee

Oksi-84 [34.3K]

So hmmm let's see
she has a monthly income of 120 from investments, now, there are 12 months in a year, so her yearly income from investments are 120*12 or
$1440

she plays on a band, and makes 200 a week, now, there are 52 weeks in a year, so her yearly income from band playing is 200 * 52, or
$10400

her total annual income is 49696, now, if we subtract the band and investment income, we'd be left over with only what comes from her job payrate
so 49696 - 1440 - 10400 is 37856

so, she makes from her job, $37856 annually

now, she only works 28 hours weekly, how much is that yearly? well, 52 weeks in a year, she works 28*52 hours a year, let us divide 37856 by that

37856 ÷ ( 28 * 52) well, it ends up as 26

so, her hourly payrate is $26 per hour

now, she wants to ask for a raise, to make 51880 annually

well, if we check the difference of 51880 and 49696, that'd leave us with the difference in pay, or the raise annual amount

51880 - 49696 = 2184

ok, so she wants $2184 annually more from her work
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2 years ago

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