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andriy [413]
3 years ago
9

In ΔSTU, s = 6.1 cm, t = 3.2 cm and u=7.4 cm. Find the measure of ∠S to the nearest 10th of a degree.

Mathematics
2 answers:
GuDViN [60]3 years ago
8 0

Answer:

m∠S = 54.1°

Step-by-step explanation:

Use the law of cosines

s^{2}  = t^{2} + u^{2}  - 2utcos S\\6.1^{2} = 3.2^{2}  + 7.4^{2}  - 2(3.2)(7.4) cos S

37.21 = 10.24 + 54.76 - 47.36 cos S

-27.79 = -47.36 cos S

.586782 = cos S

arccos .586782 = S

m∠S = 54.1°

MA_775_DIABLO [31]3 years ago
7 0

Answer:

54.1°

Step-by-step explanation:

You might be interested in
Is a positive integer raised to a negative power always positive
Evgesh-ka [11]

Answer:

Yes

Step-by-step explanation:

Many students gets confused with these exponential problems, they often get misguided but understand that there is nothing to be confused of.

When you have a negative number, you just take the reciprocal of the whole exponent number.

What is a reciprocal?

Let's take an integer for example, let's take the number 3.

The reciprocal for 3 is (1/3)

Let's take an other number, let's take 2/3

The reciprocal for 2/3 is (3/2)

In conclusion, we just reverse the denominator and the numerator or just switch it.

We take 3 as (3/1) and that is the reason, the reciprocal would be (1/3)

Now, coming to the negative integers. Taking an example:

(2)⁻¹

This would be become (1/2¹) = (1/2)

Hence, the result of a negative integer is positive but would be a fraction.

Hope I helped!


3 0
3 years ago
Find the area of the square with the side length of 2x+5
zimovet [89]
4x^2 +20x +25
(2x+5)(2x+5)
8 0
3 years ago
Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
DochEvi [55]
X is Kevin; Y is Dan

X = 3Y

X - 4 = 5(Y - 4)


3Y - 4 = 5(Y - 4)   
3Y - 4 = 5Y - 20
     + 4         +4
4 cancels each other out.
     3Y = 5Y - 16
     - 5   -5
5 cancels each other out.
    -2Y = -16  
    /2       /2     
       Y = 8 

X = 3Y;    
X = 3 x 8;

Thus,
X = 24;
Kevin(x) is 24

8 0
3 years ago
Thomas bought a case of 6 apple juice bottles and one 3-liter bottle of orange juice. Each apple juice bottle contains 2 liters
OleMash [197]
So...
Each bottle of apple juice has 2 litters of juice, so, if he bought y bottles of apple juice, we will have to multiply.
6*2=12

12 liters of apple juice
3 liters of orange juice
6 0
2 years ago
HELP ASAP, DUE AT 11:59<br><br> g(-5)=
Dovator [93]

Answer:

g(-5) = -6

Step-by-step explanation:

We need to find value of g(-5)

Looking at the graph in figure when g = -5, the value on the graph is -6 as it is highlighted with blue point.

because we have x = -5 so, we will look at graph that passes through x and y when x= -5, so we get y=-6

So, g(-5) = -6

6 0
3 years ago
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