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Alik [6]
3 years ago
9

In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: a Find CD, if BC = 3 in

Mathematics
1 answer:
Elodia [21]3 years ago
6 0

Answer:

  CD = (3/2)√2

Step-by-step explanation:

All the triangles are similar isosceles right triangles, so the hypotenuse in each case is √(1²+1²) = √2 times the length of the corresponding legs. BC is the hypotenuse of ΔBCD, so leg CD is that length divided by √2.

  CD = BC/√2 = 3/√2

  CD = (3/2)√2

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On the first part of a journey, Alan drove a distance of x km and his car used 6 litres of fuel.
irinina [24]

Answer:

\frac{600}{x+20}\text{ litres per 100 km}

Step-by-step explanation:

Given,

The number of litres consumed by car in (x+20) km = 6,

So, number of litres consumed by car in 1 km = \frac{6}{x+20},

Now, number of litres consumed by car in 100 km = 100 × litres consumed by car in 1 km

=100\times \frac{6}{x+20}

=\frac{600}{x+20}

Hence, the rate of fuel used by his car would be \frac{600}{x+20} litres per 100 km.

6 0
4 years ago
What is an inequality for this graph?
shtirl [24]

Answer:

  B. y ≤ |x – 2| + 4

Step-by-step explanation:

Shading is <em>below</em> the <em>solid</em> line, so the appropriate relation symbol is "less than or equal to" (≤).

Shading is <em>below</em> when y values less than those on the line are part of the solution set.

The line is <em>solid</em> when it is part of the solution set (dashed, otherwise). It is part of the solution set when y-values <em>equal to</em> those on the line are solutions to the inequality.

4 0
4 years ago
PLEASE HELP!!!!!!!!!!!! WILL GIVE BRAINLIEST!!
KATRIN_1 [288]

Answer:

False -Demartra

Step-by-step explanation:

8 0
3 years ago
The circumference of a circle is 12.56 cm. What is the area? Use 3.14 for PI
tankabanditka [31]
Hola!

Circumference of circle is 12.56 cm
Means,

2 × π × r = 12.56

r = 12.56 × 3.14 × 2

r = 1.999 cm

According to Question,

Area of Circle:

π × r²

3.14 × 1.99 × 1.99

12.547 cm² = 12.56 cm² (approximately.)

Hence,
Area of Circle is 12.56 cm²

hope it helps!
5 0
3 years ago
Read 2 more answers
The length of a rectangle is 5 more than twice its width. if the perimeter of the rectangle is 82 centimeters, find its length a
olya-2409 [2.1K]

P = 2L + 2W, keep that in mind (W=width, L=length)

Just fill it in. 82=2(5+2w) + 2w. First solve for w.

82 = 10+ 10w + 2w,

82 = 10 + 12w. Now subtract the 10 from both sides, and get:

72 = 12w, now divide both sides by 12, and get:

6 = w.

W is 6.


Now to solve for L, go back to the problem we had, L = 5 + 2w. Fill in w,

L = 5 + 2(6), and then it is L = 5 + 12.

It is a simple addition equation now.

L = 17, W = 6

8 0
3 years ago
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