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noname [10]
3 years ago
9

S

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

4.  35 times larger

Step-by-step explanation:

<em>Doing Question #4 Only</em>

<em />

4.

Before we see this problem's solution. Lets get a background.

Suppose something has an area of "A" sq. meters.

and

Suppose another land has an area of "B" sq. meters.

and suppose A > B

If we want to know how many times A is larger than B, we simply have to divide the larger one (A) by the smaller one (B).

Now, onto our question:

We want to know how many times larger the national is than state park. So we divide the area of national by the area of state. That would be:

\frac{7*10^8}{2*10^7}

<em>Since the numbers are in scientific notation, we look at the rule below on how to divide scientific notation numbers:</em>

<em>\frac{a*10^b}{c*10^d}=(\frac{a}{c})*10^{b-d}</em>

<em />

<em>Now, we apply the rule:</em>

<em>\frac{7*10^8}{2*10^7}\\=\frac{7}{2}*10^{8-7}\\=3.5*10^1\\=3.5*10\\=35</em>

<em />

So, the national park is 35 times larger than the state park.

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What can you conclude about dilations from your observations in question 5
Over [174]

Answer:

The angles remain the same for all values of n. After a dilation, the angle measurements for the image and the preimage are always equal.

Step-by-step explanation:

5 0
3 years ago
Select two ratios that are equivalent to 6:106:106, colon, 10. Choose 2 answers: Choose 2 answers: (Choice A) A 20:1220:1220, co
Eva8 [605]

Answer:

C. 3 : 5

D. 24 : 40

Step-by-step explanation:

Select two ratios equivalent to 6 : 10

Checking all options

A. 20 : 12

20 / 12

= 10 /6

= 10 : 6

B. 32 : 50

= 32 / 50

= 16 / 25

C. 3 : 5

3 / 5

= 6 / 10

3/5 is equivalent to 6 / 10

D. 24 : 40

24 / 40 = 12 / 20

= 6 / 10

= 6 : 10

Options C and D are correct

5 0
4 years ago
Please help!!!!<br><br>CE is tangent to this circle, CD is a radius and ECB=48 what is BAC​
den301095 [7]

Answer:

48degrees

Step-by-step explanation:

From the circle geometry shown, traingle BDC is an isosceles triangle which shows means that their base angels are the same. Hence;

<B = <C

<CBD + <BCD + <D = 180

<BCD + <BCD + <D =180

2<BCD + <BDC = 180

Get <BCD;

<BCD+ <ECB = 90

<BCD + 48 = 90

<BCD = 90 - 48

<BCD = 42degrees

Get <BDC

2<BCD + <BDC = 180

2(42)+ <BDC = 180

84 + <BDC = 180

<BDC = 180 - 84

<BDC = 96

Since angle at the centre is twice that at the circumference, then;

<BAC = 1/2(<BDC )

<BAC = 96/2

<BAC = 48degrees

4 0
3 years ago
Which represents the inverse of the function f(x) = 4x?
Licemer1 [7]

Answer:

The inverse is 1/4x

Step-by-step explanation:

y = 4x

To find the inverse, exchange x and y

x = 4y

Solve for y

1/4 x = 4y/4

1/4x = y

The inverse is 1/4x = y

3 0
3 years ago
Read 2 more answers
I need help using cosine and sine ratios to find the missing side lengths
aniked [119]
I hope this is helpful
8 0
4 years ago
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