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mote1985 [20]
3 years ago
9

Express in the form 1 : n . Give n as a decimal. 4 : 6

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:

n = 1.5

Step-by-step explanation:

Given ratio of 1 : n is equivalent to the ratio 4 : 6.

We can rewrite these equivalent ratio as,

\frac{1}{n}=\frac{4}{6}

Now we have to solve this expression for the value of n.

\frac{1}{n}=\frac{2\times 2}{2\times 3}

\frac{1}{n}= \frac{2}{3}

n = \frac{3}{2}

n = 1.5

Therefore, n = 1.5 will be the answer.

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ABC and AED are straight lines. BE and CD are parallel. AC = 12.3cm AB = 8.2cm BE = 3.8cm a) Work out length CD. AD = 9.15cm
elena-14-01-66 [18.8K]

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

6 0
3 years ago
The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200
arlik [135]

Answer:

300 < d < 700

Step-by-step explanation:

on edgenuity 2020

7 0
3 years ago
EXPLAIN HOW TO FIND THE AREA OF THE<br> SHADED Region.
marin [14]

Answer:

Find the area of the circle then divide by two

Step-by-step explanation:

7 0
2 years ago
Evaluate the function for the given value: f(x)=2x (to the power of 2) -5x-17, find f(-3)
lions [1.4K]

Answer:

f(-3) = 16

Step-by-step explanation:

You substitute -3 to x.

f(-3) = 2(-3)² - 5(-3) - 17

f(-3) = 16.

As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

7 0
3 years ago
Read 2 more answers
Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4
vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

c^2 = 4^2 + 6^2

c^2 = 16 + 36

c^{2} = 52

Pythagoras' theorem for the middle one :

b^{2} = 6^{2} + a^{2}

Pythagoras' theorem for the biggest one :

(4+a)^2 = c^2 + b^2

16 + 8a + a^2 = 52 + b^2

Using the formula before (for b^2) it becomes :

16 + 8a + a^2 = 52 + (6^2 + a^2)

16 + 8a + a^2 = 52 + 6^2 + a^2

16 + 8a = 52 + 6^2

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

a = \frac{72}{8}

a = 9

Verifying :

b^2 = 6^2 + a^2

b^2 = 36 + 81

b^2 = 117

b^{2} = 117

The biggest one :

(4+a)^2 = c^2 + b^2

(4+9)^2 = 52 + 117

13^2 = 169

True

8 0
2 years ago
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