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Kruka [31]
3 years ago
6

What is the awnser to this problem I don’t know how to do this

Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

2.9 units

Step-by-step explanation:

Here the leg lengths are x and 7.7 and the one given angle is 21 degrees.

Think:  which trig function incorporates both the length of the side opposite the 21 degree angle (x) and the vertical side (7.7)?  It's the tangent function:

tan Ф = opp / adj

To be clear:  the side adjacent (next to) the 21 degree angle is 7.7 units in length and the side opposite this angle is x.

Then we have tan 21 degrees = opp / adj = x / 7.7

and so 7.7(tan 21 degrees) = 7.7(03839) = 2.96 or (to one decimal place) 2.9

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H(x)=-3x-4 What is g(6)
mrs_skeptik [129]

Answer:

h(6)=-22

Step-by-step explanation:

h(x)=-3x-4

h(6)=-3(6)-4

h(6)=-18-4

h(6)=-22

6 0
4 years ago
Find the angle that makes them supplementary.
Semmy [17]

Answer:

130,110,40,90,165

Step-by-step explanation:

supplementary angles add up to 180

so 180-50= 130

180-70=110

etc

7 0
3 years ago
Write an inequality that represents the description then solve; Max has more than 5 carrots ( number of carrots Max has = c)
torisob [31]
If "C" is the number of carrots, then the phrase "Max has more than 5 carrots" can be written like this:

c\ \textgreater \ 5: the number of carrots that Max has is bigger than 5.

However, we can't solve it without any additional information, all we know is that c\ \textgreater \ 5
3 0
4 years ago
A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s
Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.          

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.0793.

P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793  

= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793  

=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207  

Calculation the value from standard normal z table, we have,  

P(z \leq 1.410) = 0.9207

\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51  

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0
3 years ago
The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rate r.
Virty [35]

A = P + SI

A-P = SI

5425-5000 = 425

THEREFORE THE SIMPLE INTRESTE IS $425

SI = PTR/100

425 = 5000×1×R/100

425×100/5000×1=R

425×100÷5,000×1 = 8.5%

THEREFORE THE RATE IS 8.5%

8 0
3 years ago
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