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3 years ago

A steel worker dropped his wrench off the top of a new high rise building. How far will the wrench fall in 3 seconds?

1 answer:

6 0

Using S = ut + 1/2gt², from rest, u = 0

S = 1/2gt², g ≈ 9.8 m/s²

S = <span>1/2 *9.8*3²

</span>S = 0.5<span> *9.8*3*3
</span>
<span>S ≈ 44.1 m</span>

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Give The measures of the angle that is complementary to the given angle

ivolga24 [154]

Step-by-step explanation:

We know that

Sum of two complementary angles is 90°
Let the other angle be x

<h3>So</h3><h3> $\rm \dashrightarrow \: x + 54 = 90 \\ \rm \dashrightarrow \: x = 90 - 54 \\ \rm \dashrightarrow \: x = 36$ </h3>

7 0

2 years ago

What is the simplet form of 7<br> —<br> 12?

inysia [295]

Answer:

-5

Step-by-step explanation:

7−12

=7−12

=7+−12

=−5

6 0

2 years ago

You roll two fair dice, a green one and a red one.

olga_2 [115]

Answer:

(a) yes

(b) 1/36

(d) 1/18

Step-by-step explanation:

(a) yes they are independent as the outcome of one does not affect the outcome of the other.

(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.

P(1 on green die) = 1/6

P(2 on red die) = 1/6

Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36

P(2 on green die) = 1/6

P(1 on red die) = 1/6

Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36

(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)

= 1/36 + 1/36

= 2/36

= 1/18

3 0

2 years ago

MATH<br><br> HELP<br><br> FIND THE EQUATION OF THE LINE

Dominik [7]

y=3/3x+-2

Step-by-step explanation:

it goes up 3 and over 3 so its 3/3 and it starts at -2

5 0

2 years ago

Read 2 more answers

Write and graph a system of inequalities that models the situation.

liubo4ka [24]

Answer:

The feasible region in the attached figure

Step-by-step explanation:

Let

x ----> the number of shirts

y ----> the number of pants

we know that

The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80

The inequality that represent this problem is

$5x+8y\leq 80$

using a graphing tool

The feasible region is the triangular shaded area

see the attached figure

7 0

3 years ago