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3 years ago

What is the the nearest ten to 34.23413

Mathematics

1 answer:

Alla [95]3 years ago

7 0

The answer to the nearest tenth is 34.2

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From the lighthouse 1000 ft above sea level the angle of depression to boat a is 29 degress.a little bit later the boat moved cl

AnnyKZ [126]

Answer: The boat moved 768.51 feet in that time .

Step-by-step explanation:

Since we have given that

Height of the lighthouse = 1000 feet

Angle depression to boat 'a' = 29°

Angle of depression to shore 'b' = 44°

Consider ΔABC,

$\tan 44\textdegree=\frac{AB}{BC}\\\\\tan 44\textdegree=\frac{1000}{BC}\\\\BC=\frac{1000}{\tan 44\textdegree}\\\\BC=1035.53\ feet$

Now, Consider, ΔABD,

$\tan 29\textdegree=\frac{AB}{BD}\\\\\tan 29\textdegree=\frac{1000}{BD}\\\\BD=\frac{1000}{\tan 29\textdegree}\\\\BD=1804.04\ feet$

We need to find the distance that the boat moved in that time i.e. BC

so,

$DC=BD-BC\\\\CD=1804.04-1035.53\\\\CD=768.51\ feet$

Hence, the boat moved 768.51 feet in that time .

6 0

3 years ago

Mrs.Sanchez Is taking an online test. At the bottom of the screen there is a progress bar. she has just finished 15 and on tje b

Anni [7]

60, 25% is a quarter of 100%, so 15 + 15 + 15 + 15= 60

4 0

3 years ago

(05.03 MC)

Jlenok [28]

Look it up on khan academy

3 0

3 years ago

1. What is the value of x? Do not convert to decimal. Keep your answer in exact (radical) form. Show all of your work. This is P

lesya [120]

Answer:

The value of x is $\sqrt{113}$ .

Step-by-step explanation:

It is given that hypotenuse is $\sqrt{177}$ . So, the legs would be x and 8.

Let's use Pythagoras theorem,

$a^{2} +b^{2} =c^{2}$

Plug in the numbers to solve for x.

$x^{2} +8^{2} =\sqrt{177} ^{2}$

Simplify it

$x^{2} +64 =177$

Subtract both sides 64.

$x^{2} =113$

Take square root on both sides

x= $\sqrt{113}$

We can not simplify the radical.

So, let's keep this as answer.

6 0

3 years ago

Draw a Hasse diagram of the partial order << of the set {2,3,4,6,8,9,10,12} where a << b iff b is divisible by a.

Ray Of Light [21]

Step-by-step explanation:

Consider the provided set {2,3,4,6,8,9,10,12}

Let the set is A.

$A={(2 \prec 4), (2 \prec 6), (2 \prec 8), (2 \prec 10), (2 \prec 12), (3 \prec 6), (3 \prec 9), (4 \prec 8), (4 \prec 12), (6 \prec 12)}$

Hence the required Hasse diagram is shown in figure 1:

In the Hasse diagram 2 and 3 are on the same level as they are not related.

The next numbers are 4, 6, 9, and 10. 4, 6 and 10 are divisible by both 2. 6 and 9 are divisible by 3. Then 8 and 12 are divisible by 4 also 12 is divisible by 6.

Hence, the required diagram of the partial order of the set {2,3,4,6,8,9,10,12} is shown in figure 1.

8 0

3 years ago