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gulaghasi [49]
3 years ago
14

Type the correct answer in each box. Round your answers to the nearest integer.

Mathematics
2 answers:
QveST [7]3 years ago
5 0
Did you ever find the awnser

Over [174]3 years ago
3 0

Answer:

(1) 92.92 unit  (2) 500 unit²

Step-by-step explanation:

(1) Perimeter of the given hexagon ABCDEF will be

   = Sum of length of all sides

   = AB + BC + CD + DE + EF + FA

   =10+(\sqrt{10^{2}+10^{2}})+\sqrt{10^{2}+10^{2}}+10+\sqrt{20^{2}+10^{2}}+\sqrt{20^{2} +10^{2} }

   = 20+10\sqrt{2} +10\sqrt{2}+10+10\sqrt{(2+1)}+10\sqrt{(2+1)}

   = (30+20\sqrt{2}+20\sqrt{3})

   = 30 + 28.28 + 34.64

   = 92.92 unit

(2) Area of hexagon = Area of ΔAEF + Area of rectangle ABDE + Area of ΔBCD

   = \frac{1}{2} (20)(20)+(20)(10)+\frac{1}{2}(20)(10)

   = 200 + 200 + 100

   = 500 unit²

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Chantal is driving on a highway at a steady speed. She drives 55 miles every hour. Let d be the total distance in miles and let
strojnjashka [21]

Answer:

d = 55h

Step-by-step explanation:

We are given that Chantal drives at a constant speed of 55 miles per hour.

If, d represents the total distance in miles, and

h represents number of hours, the following equation can be used to express the given situation:

d = 55h

For every hour, a distance of 55 miles is covered.

Thus, if h = 1, d = 55(1) = 55 miles

If h = 2, d = 55(2) = 110 miles.

Therefore, d = 55h , is an ideal equation that represents the situation given in the question above.

7 0
4 years ago
the sum of the digits of a certain two-digits number is 7.Reversing its digits increases the number by 9.What is the number
rusak2 [61]
Unit digit=y
tens digit=x
the number: 10x+y

We suggest this system of equations:
x+y=7
(10y+x)=(10x+y)+9
we solve it by substitution method.
x=7-y
10y+(7-y)=(10(7-y)+y)+9
9y+7=70-10y+y+9
9y+10y-y=70+9-7
18y=72
y=72/18=4

x=7-y
x=7-4=3

number=10x+y=10*3+4=30+4=34

solution: the number: 34

To check:
3+4=7
43=34+9
8 0
3 years ago
Read 2 more answers
Blocks numbered 0-9 are placed in a box and a black is randomly picked the probability of picking an odd prime number is
Andrews [41]

Answer:

Step-by-step explanation:

B_n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9\\B_p = 2, 3, 5, 7\\B_{o_p} = 3, 5, 7\\

There are 3 odd primes, namely : 3, 5, 7

The total amount of blocks is 9

The odds of picking and odd prime is \frac{3}{9} \cdot 100\% = 33,(3)\%

6 0
3 years ago
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ELEN [110]

Answer:

4 seconds.

Step-by-step explanation:

The function f(x)=-10(x)(x-4) ........ (1), represents the approximate height of a projectile launch on the ground into the air as a function of time in seconds x.

Now, we are asked that for how long from the launch does the projectile stays in the air.

Therefore, we have to solve the equation (1) making f(x) as zero.

Hence, 10x(x - 4) = 0

⇒ x = 0 or x = 4

(As x can not be zero since at x = 0 sec, the projectile was at the ground.}

Hence, x = 4 seconds.

Therefore, the projectile was in the air for 4 seconds. (Answer)

4 0
3 years ago
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Which value of v is a solution to this equation? 3v=24
zhannawk [14.2K]
V = 24/3 = 8
So v = 8
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