What is 500 + 0 ones + 8 tens

Mathematics

2 answers:

LuckyWell [14K]4 years ago

7 0

508 you pretty much just add 500 to 8 ore vice versa

Leona [35]4 years ago

4 0

Answer:500

8= 508

Step-by-step explanation:

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Determine the shaded areas part 2

shutvik [7]

9514 1404 393

Answer:

(a) cannot be determined

(b) 44 cm^2

(d) 180 m^2

(e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

(b) The difference between the bounding rectangle and the lower-left cutout is ...

(8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

(13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

(d) The difference between the bounding rectangle and the two cutouts is ...

(20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

(e) The difference between the bounding rectangle and the two cutouts is ...

(14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

3 0

3 years ago

A rescue helicopter flew from its home base for 35 kilometers on a course of 330 degrees to pick up an accident victim. It then

artcher [175]

I've drawn a triangle to represent the journey (see attached.

The angle from Home to Victim to Hospital is:

a = $90 - (360 - 330) = 90- 30 = 60^o$

Using the cos rule, we can solve for the length x:

$a^2 = b^2 +c^2 - 2bccosA
\\x^2 = 35^2+25^2-2(35)(25)cos60
\\x^2 = 1850 - 875
\\x^2 = 975
\\x = \sqrt{975}
\\x = 31.2249...$

Using the cos rule, we can solve for angle b:

$a^2 = b^2 +c^2 - 2bccosA
\\35^2 = 31.22...^2+25^2-2(31.22...)(25)cosb
\\1225 = 975 + 625 - 1561.249...cosb
\\-375 = -1561.249...cosb
\\b = cos^{-1}( \frac{-375}{-1561.249...}) 
\\b = 76.1...$

So the bearing the helicopter has to travel is:

270 - 76.1 = 193.9 degrees (1 dp)

And the distance it travels is 31.2 km (1 dp)