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vredina [299]
2 years ago
12

I need help, someone help me, please

Mathematics
1 answer:
lara [203]2 years ago
6 0

Answer:

(a): 46 degrees

(b): 63 degrees

(c): 27 degrees

(d): 60 degrees

Step-by-step explanation:

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Carrie place is a 10 foot ladder against the wall if the ladder makes an angle of 65° with the level ground how far up the wall
natita [175]

Answer:

9......

Step-by-step explanation:

A right-angled triangle in the image below will be formed.

Now, we will make use of the trigonometric rule......

But before that, how do know the perfect rule to apply so as to solve the problem?

#. The side facing the angle 65 deg. is called the Opposite side

#. The side facing the angle 90 deg. is called the Hypotenuse

#. While the last side is called the Adjacent

Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule

Sine(θ)=Opposite/Hypotenuse

Therefore,

Sine 64 = Opposite/10

Opposite = 10 x sine64

Opposite = 10 x 0.9

Opposite = 9cm

6 0
3 years ago
Read 2 more answers
Find the value of the variables in the simplest form
STatiana [176]

Answer:

x = 3

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = \sqrt{3}

tan60° = \frac{opposite}{adjacent} = \frac{x}{\sqrt{3} } = \sqrt{3} ( multiply both sides by \sqrt{3} )

x = 3

6 0
3 years ago
You are given $100 for your birthday. You put the $100 in a savings account that pays an interest rate of 2.4% compounded monthl
jonny [76]
Each month the new total you be
initial amount * 1.024

Repeating the process for a year (=12 months) you get
initial amount * 1.024^12

Being initial amount = $100

100*1.024^12 = $132.92

After 1 year you will have $132.92
8 0
3 years ago
There are 200 students in the 8th grade class at Alleghany Middle School. Of these students, 8% play basketball and 14% play soc
sergeinik [125]

Answer:

The probability that a student plays either basketball or soccer is 19% or 0.19.

Step-by-step explanation:

Let A be the event that student play basketball and  B be the event that student play soccer.

P(A)=8\%

P(B)=14\%

It is given that 6 students play on both teams.

P(A\cap B)=\frac{6}{200}\times 100=3\%

We have to find the probability that a student plays either basketball or soccer.

P(A\cup B)=P(A)+P(B)-(A\cap B)

P(A\cup B)=8\%+14\%-3\%

P(A\cup B)=19\%

Therefore the probability that a student plays either basketball or soccer is 19% or 0.19.

6 0
3 years ago
F(x) = -x² + 7x - 12<br> One factor of this is (x - 4). Find the other factor.
saveliy_v [14]

Answer:

(3-x) is the other factor.

Step-by-step explanation:

The given function is :

F(x)=-x^{2}+7x-12

One of the factor is (x-4)

We need to find the other factor.

It can be solved as follows :

F(x)=-x^{2}+4x+3x-12\\\\=(-x+3)(x-4)

So, the other factor is (3-x).

4 0
3 years ago
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