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Assoli18 [71]
3 years ago
11

HELP!!!! ASAP

Mathematics
1 answer:
9966 [12]3 years ago
8 0
\tan \theta = \dfrac{opp}{adj}

\tan 70^\circ = \dfrac{39~ft}{x}

x \tan 70^\circ = 39~ft

x = \dfrac{39~ft}{\tan 70^\circ}

x = 14.1948...~ ft

Answer: 14.2~ft



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The total cost for tuition plus room and board at State University is $2,584.00. Tuition costs $100 more than twice room and boa
liq [111]

Answer:

$1756

Step-by-step explanation:

1.  More = Addition

2. Twice = Multiplication by 2

3. Tuition costs $100 more than twice room and board

   Tuition = 2x + 100

   $2584 = (2x + 100) + x

   $2584 = 3x + 100

4. Subtract 100 on both sides: $2484 = 3x

5. Divide both sides by 3: $828 = x

6. Plug it in to the tuition equation: Tuition = 2(828) + 100

                                                                       = $1756

Check Work: (828*2) + 100 = $1756

                      $1756 + 828  = $2584

7 0
3 years ago
In four years, 40% of a radioactive element decays. Find its half-life. Round to one decimal place.
White raven [17]

To find the answer, use k = \frac{2.303 }{ 4} (log\frac {100 }{ 40}) , and then use the equation t=\frac{.693}{k} To find it's half life.

5 0
4 years ago
Read 2 more answers
2/3 5/7 16/21 smalledr to biggedt
saul85 [17]

Answer:

Step-by-step explanation:

Yes

7 0
3 years ago
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Dylan draws up a plan to fence in a yard for his chickens. This distance between grid lines is 1 foot. A. Is 30 feet of fencing
Mazyrski [523]
No it definitely is not
3 0
3 years ago
D)) The ratio of the monthly income and expenditure of Sunayana is 5 : 3. If she
Gnom [1K]

Answer:

Sunayana's income is ₹25000 and expenditures are ₹15000.

Step-by-step explanation:

Let i denote the monthly income and e denote the expenditures.

We know that the ratio of the monthly income to expenditure is 5:3. So, we can write the following proportion:  

\frac{i}{e}=\frac{5}{3}

Let's multiply both sides by e. This yields:

i=\frac{5}{3}e

We know that when the income is <em>increased</em> by 5000 and the expenditures are <em>decreased </em>by 3000, the new ratio is 5:2. So, we can write the following proportion:

\frac{i+5000}{e-3000}=\frac{5}{2}

Let's multiply both sides by (e-3000):

i+5000=\frac{5}{2}(e-3000)

Since we know that i=\frac{5}{3}e, substitute:

\frac{5}{3}e+5000=\frac{5}{2}(e-3000)

So, let's solve for the expenditures. Distribute the right:

\frac{5}{3}e+5000=\frac{5}{2}e-7500

Subtract \frac{5}{2}e from both sides:

-\frac{5}{6}e+5000=-7500

Subtract 5000 from both sides:

-\frac{5}{6}e=-12500

Multiply both sides by -6/5. So, the expenditures are:

e=\text{Rs }15000

We can use the original ratio to find Sunayana's income:

i=\frac{5}{3}e

Substitute 15000 for e. Evaluate:

i=\frac{5}{3}(15000)=\text{Rs }25000

So, Sunayana's income is ₹25000 and expenditures are ₹15000.

And we're done!

Edit: Wrong currency, sorry about that!

3 0
3 years ago
Read 2 more answers
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