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3 years ago

two times Antonio's age plus three times sarah's age equal 34. sarah age is also five times antonio age.how old is sarah

1 answer:

4 0

#1 - set up a system of equations letting s = sarah's age and a = antonio's age.
2a + 3s = 34
s = 5a

#2 - solve using substitution.
2a + 3(5a) = 34
2a + 15a = 34
17a = 34
a = 2
Antonio is 2 years old.

s = 5(2)
s= 10
Sarah is 10 years old.

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3 years ago

$6300 is borrowed with an annual interest rate of 8%, which is compounded annually. What is the total value of the loan after 21

Igoryamba

Answer:

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3 years ago

5.) A.) 1/ csc 36° B.) csc 36° C.) 1/ tan 36° D.) cos 36° E.) tan 36°

erastovalidia [21]

Answer:

B.) $csc \ 36\°$

Step-by-step explanation:

Given:

$\frac{1}{sin\ 36\°}$

We need to rewrite the given expression as single trigonometric function.

Now According to reciprocal Identities given:

$sin\theta =\frac{1}{csc\theta}$

Also Given;

$csc\theta = \frac{1}{sin\theta}$

Sow when $sin\ 36\°= \frac{1}{csc\ 36\°}$

and when $\frac{1}{sin\ 36\°}= csc\ 36\°$

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3 years ago

Given the midpoint and one endpoint of a line segment, find the other endpoint.

neonofarm [45]

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

Co-ordinates of one endpoint = (-4 , -10)
Co-ordinates of the midpoint = (-8 , -4)

TO FIND :-

Co-ordinates of another endpoint.

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

$(x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )$