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kkurt [141]
3 years ago
12

Find x, to the nearest hundredth.​

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

cos 44° = \frac{x}{14}

x = 14 × cos 44°

x ≈ 10.07 units

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  Sarah Wiggum would like to make a single investment and have ​$1.7 million at the time of her retirement in 34 years. She has
vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

t = 35, I = 0.07, T = 1700000

She has to invest P today.

T = E + P

1700000 = E + P

E = 1700000 - P

So

E = P*I*t

1700000 - P = P*0.07*34

3.38P = 1700000

P = \frac{1700000}{3.38}

P = 502958.58

Sarah has to invest $502,958.58 today.

8 0
3 years ago
Drawing a card- four cards are drawn from a desk without replacement.Find these probabilities.
svetlana [45]

The deck consists of 4 jacks, 26 black cards, and 13 hearts.

There is only 1 way of drawing all 4 jacks: \dbinom44=\dfrac{4!}{4!(4-4)!}=1.

There are \dbinom{26}4=14,950 ways of drawing 4 black cards.

There are \dbinom{13}4=715 ways of drawing 4 hearts.

There are \dbinom{52}4=270,725 ways of drawing any 4 cards.

The probabilities are then

a.

\dfrac{\binom44}{\binom{52}4}=\dfrac1{207,725}\approx0.00000369

b.

\dfrac{\binom{26}4}{\binom{52}4}=\dfrac{46}{833}\approx0.0552

c.

\dfrac{\binom{13}4}{\binom{52}4}=\dfrac{11}{4165}\approx0.00264

5 0
3 years ago
If a cube has a<br> volume of 8 cm<br> what is it's side<br> length?
lana [24]
Side length: 2 cm.

Volume of a cube:
V=a^3
(where V is volume, and a is side length)

If v=8, the formula would now be 8=a^3

Take the cube root of both sides

a=2.
5 0
4 years ago
In the rectangle ABCD the angle OAV is 48degrees smaller than the angle AOB .Find the angles of the triangle AOB
mart [117]
Im giving you instrutions to get the answer its simple:D
The figure above shows a circular sector OAB<span> , subtending an </span>angle<span> of θ radians ... The points A and B lie on the circle so that the </span>angle AOB<span> is 1.8 radians. .... c) </span>Calculate<span> the smallest </span>angle<span> of the </span>triangle<span>ABC , giving the answer in </span>degrees<span>, .... Given that the length of the arc AB is </span>48<span> cm , </span>find<span> the area of the shaded region</span><span>.
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3 0
3 years ago
&gt;&gt;<br> What is the value of x that makes PQ|| RS?<br> plssss help. i need help bad
kirill [66]

Answer: 55

Step-by-step explanation:

By the alternate exterior angles theorem,

3x-65=2x-10\\x-65=-10\\x=55

5 0
2 years ago
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