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eimsori [14]
3 years ago
14

#4 need help with this one

Mathematics
2 answers:
4vir4ik [10]3 years ago
4 0

Answer:

x = 25.6

Step-by-step explanation:

As we can see, this is a right triangle, so there are known relationships

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 43

a: adjacent  = x

o: opposite

h: hypotenuse  = 35

sin α = o/h

cos α = a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

cos α = a/h

cos 43° = x / 35

cos 43° * 35 = x

25.59 = x

if we want to round to the nearest tenth

x = 25.59 = 25.6

Trava [24]3 years ago
4 0

Answer:

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is 35

With m∠43° as the reference angle,

x represents the adjacent side of the right angle triangle.

The unknown side represents the opposite side of the right angle triangle.

To determine x, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 43 = x/35

x = 35Cos 43

x = 35 × 0.7314

x = 25.6 to the nearest tenth.

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The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.
Viktor [21]
Let
x,y, and z the long sides of the triangle 

we know that

x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4

substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40

Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²

the answer is
26558.21 ft²
6 0
3 years ago
if there is a 10% chance of sun tomorrow and 20% chance of wind and no sun what is the probability that it is windy given that i
harkovskaia [24]

Answer:

=22%

Step-by-step explanation:

Since we have given two conditions simultaneously that is windy and not sunny. So we will use the concept of conditional probability.

The probability of sunny day= P(sunny)=10%

P(sunny)=10%=0.1

The probability of windy and not sunny=P(windy|not sun)=20%

P(windy|not sun)=20% = 0.2

Now divide the both probabilities:

P(windy|not sun)/P(sunny)

=0.2/[1-0.1]              

{Hence there are 10% chances of sun tomorrow than there are (1 - 0.1) chances of no sun}

If we subtract 1 from 0.1 than it becomes:

=0.2/0.9

=2/9

=0.2222222222

=22%

Hence the probability that it is windy = 22% ....

6 0
3 years ago
If 1800ml of a juice drink is 15% grape juice, how much grape juice should be added to make a drink that is 20% grape juice?
Svetach [21]

Answer:

  112.5 mL

Step-by-step explanation:

Let x represent the amount of grape juice to add. Then the total amount of grape juice in the mix is ...

  0.15(1800) +x = 0.20(1800+x)

  270 +x = 360 + 0.2x . . . . . . eliminate parentheses

  0.8x = 90 . . . . . . . . . . . . . . . subtract 270+0.2x

  x = 90/0.8 = 112.5 . . . . . . . . divide by the coefficient of x

112 mL of grape juice should be added to make a mix that is 20% grape juice.

7 0
3 years ago
I am 21 years old my father is 3 times my age how old eill i be when my father is 40
DENIUS [597]

Answer:

Well the answer is 13.3 so 13 years old

Step-by-step explanation:

(F,Y) = (63,21)

Y3=F so F/3=y

so

F= 40

Y=?

40/3=Y

40/3=13.3

4 0
2 years ago
Read 2 more answers
Draw the graph of the linear equation 2 x - y =0
Mandarinka [93]

The answer is in the attachment!!!

3 0
3 years ago
Read 2 more answers
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