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Nimfa-mama [501]
3 years ago
13

Write the given expression as the sine of an angle

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0

Answer:

sin140°

Step-by-step explanation:

Using the addition formula for sine

sin(A + B) = sinAcosB + cosAsinB

Given

sin105°cos35° + sin35°cos105°

= sin105°cos35° + cos105°sin35° ← right side of expansion above

= sin(105 + 35)°

= sin140°

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Triangle abc is similar to triangle fgh what is the value of x in centimeters
guapka [62]

Answer:

22.5 cm

Step-by-step explanation:

In the figure attached the graph of the problem can be seen.

Given the triangles are similar then the next proportion must be satisfied:

13.5/9 = 18/12 = x/15 = 1.5

Isolating x, we get:

x/15 = 1.5

x = 1.5*15

x = 22.5 cm

3 0
3 years ago
Find the rational zeros of the polynomial function, f(x)= 4x^3-8x^2-19x-7
Dima020 [189]

Answer:

The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  

Step-by-step explanation:

Given polynomial as :

f(x) = 4 x³ - 8 x² - 19 x - 7

Now the ration zero can be find as

\dfrac{\textrm factor of P}{\textrm factor Q} ,

where P is the constant term

And Q is the coefficient of the highest polynomial

So, From given polynomial ,  P = -7 , Q = 4

Now , \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}

I.e  \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q} = \frac{\pm 7 , \pm 1}{\pm 4 ,\pm 2,\pm 1 }

Or, The rational zero are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1

Hence The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  Answer

7 0
4 years ago
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4 years ago
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ziro4ka [17]
From the first inequality x > 2 - 3  so x> -1
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3 years ago
Two numbers are greater than 10 but les than 40. Their GCF is 17. What are the numbers?
shusha [124]
The numbers are 17 and 34.
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