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2 years ago

6

Marco is measuring two pieces of strings. One piece of string is 15 cm long. The other string is 250 mm long. In centimeters, ho

w long are the pieces of strings together?

1 answer:

faltersainse [42]2 years ago

5 0

Answer:

400 mm

Step-by-step explanation:

to convert cm to mm, you add a 0, or more specifically, multiply by 10. so, 15 × 10= 150. 250+150=400.

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In triangle abc, m of acb = 90, cd is perpendicular to ab , m of acd is 60. and bd is 5 cm. find ad

weeeeeb [17]

Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

$\angle acd = 60 ^{\circ}$

Therefore, we have

$\angle dcb =90- 60= 30 ^{\circ}$

Now, in triangle bcd, we have

$\tan30 = \frac{5}{cd}\\
\\
\frac{1}{\sqrt 3}=\frac{5}{cd}\\
\\
cd=5\sqrt 3$

Now, in triangle acb, we have

$tan 60 = \frac{ad}{5\sqrt3} \\
\\
\sqrt 3= \frac{ad}{5\sqrt3}\\
\\
ad= 5\sqrt3 \times \sqrt 3\\
\\
ad= 5\times 3\\
\\
ad=15$

Thus, ad is 15 cm.

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