The sum of two numbers is 25. One of he numbers exceeds the other by 9. Find the numbers

2 answers:

3 0

X + y = 25
x is the smaller number.
y is the smaller number plus 9 (x + 9).

x + (x + 9) = 25
2x + 9 = 25
2x = 16
x = 8

8 + y = 25
y = 17

The numbers are 8 and 17.

lapo4ka [179]4 years ago

3 0

X and y are the numbers
sum is 25 so
x+y=25

x is bigger than y by 9
x=y+9
subsitue y+9 for x

x+y=25
y+9+y=25
2y+9=25
minus 9 both sides
2y=16
divide by 2
y=8

sub back
x=y+9
x=8+9
x=17

the numbers are 8 and 17

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Ne4ueva [31]

Answer:

1. $\frac{\sqrt{13} }{3}$

2. 3.2362

3. $\frac{60}{11}$

Step-by-step explanation:

Cot is the trigonometric ratio defined by "adjacent" over "opposite". So, adjacent = 2 and opposite = 3.

By pythagorean theorem, we have the "hypotenuse" as $\sqrt{2^2+3^2}=\sqrt{13}$

Csc is defined as the trig ratio "hypotenuse" over "opposite". We know the sides, so Csc $\theta$ = $\frac{\sqrt{13} }{3}$

First answer choice is right.

By definition, Csc $\theta$ is the inverse of Sine $\theta$ . If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:

$Csc\theta=\frac{1}{0.3090}\\=3.2362$

Third answer choice is right.

By definition tan and cot are inverse of each other. So the value of tan is the reciprocal of the value of cot. We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

$Cot\theta=\frac{60}{11}$