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3 years ago

Write 37/ 99 as a decimal. A) 0.037 B) 0.37 C) 0.37 D) 3.73

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

7 0

37/99
= 0.37

hope this helps and have a great day :)

goldfiish [28.3K]3 years ago

4 0

0.37 I do believe is the correct answer

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Q.4.

Anuta_ua [19.1K]

Answer

2.56m⠀

Step by Step explanation:

⠀

Let AC be the 7 meters high Flagstaff

And BC be the tower

⠀

Let the height of BC = x

The height of AB will be (x + 7)m

⠀

∠ADB = 45° and ∠CDB = 15°

(as given in the question)

⠀

By using trigonometry formula

$\sf \tan(A) = \frac{perpendicular}{base}$

⠀

So tan 45 will be

$\sf \implies \tan45{ \degree} = \frac{AB}{BD} \\ \\ \sf \implies \tan45{ \degree} = \frac{x + 7}{BD} \\ \\ \sf \implies 1 = \frac{x + 7}{BD} \\ \\ \sf \implies BD = (x + 7)m$

⠀

And tan 15 will be

$\sf \implies \tan15{ \degree} = \frac{BC}{BD} \\ \\ \sf \implies \tan15{ \degree} = \frac{x}{BD} \\ \\ \sf \implies 0.2679 = \frac{x}{BD} \\ \\ \sf \implies BD = \frac{x}{0.2679} \\ \\ \sf \implies BD = 3.7327x$

⠀

Using both Values of BD to find x

⠀

$\sf x + 7 = 3.7327x \\ \\ \sf 7 = 2.7327x \\ \\ \sf \frac{7}{2.7327} = x \\ \\ \sf \boxed{2.56 = x}$

The height of the tower is 2.56m

4 0

2 years ago

Annie rides her bicycle the 1.5 km to Ben’s house at an average speed of 12 km/h. Calculate the percentage increase that 12 km/h

castortr0y [4]

The question is asking you to find how much more quicky Annie is traveling on a bike compared to walking. We simply divide her biking speed by her walking speed to get a factor:
$x = 12 \div 3.75 \\ x = 3.2$

Then we convert this to a percent: 320 percent.

We can say that Annie is traveling 320 percent faster on a bike compared to walking.

4 0

3 years ago

Please help!! I would be very great full!!!!

Tatiana [17]

I’m going to assume you know slope-intercept form. The work will be displayed below on my magnificent, college-ruled paper.

8 0

4 years ago

A box contains 5 purple marbles, 3 green marbles, and 2 orange marbles. Two consecutive draws are made from the box without plac

lana66690 [7]

There are 2 orange marbles, 3 green marbles, & 5 purple marbles

two consecutives draws without replacement

Orange first, green second

Orange/total = 2/10, or 1/5
green/total - 1 = 3/9, or 1/3
1/5(1/3) = 1/15
There is a 1/15 chance of Orange first, green second

Both marbles are purple
Purple/total = 5/10, or 1/2
Purple/total = 4/9, or 44% chance of both being purple

first is purple, the next is anything but purple
purple/total = 1/2, or 50% chance
(everything - purple)/total = 5/10, or 50% chance
1/2(1/2) = 1/4, or 25% chance of first purple, then anything but purple

hope this helps

4 0

4 years ago

Complete the table y=2x²-2 x = 0,1,-1,2,-2 y= ?

Tasya [4]

Step-by-step explanation:

X- axis interception points of 2x² - 2, x = 0: None

y- axis interception point of 2x²-2, x=0:

Y Intercepts: (0, - 2)

8 0

2 years ago