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4 years ago

8. A dog chasing some birds in the woods got away from its owner. If the owner is 30 yards

Mathematics

1 answer:

puteri [66]4 years ago

8 0

Answer:

172.76 yards.

Step-by-step explanation:

The dog chasing some birds got away from its owner by x yards (say).

It is clear from the problem that this x yards is the slant distance from the dog to the owner.

The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.

Therefore, we can write that $\sin 10 =\frac{30}{x}$

⇒ $x = \frac{30}{\sin10} = 172.76$ yards. (Answer)

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Need help with this will mark brainliest

dimulka [17.4K]

Answer:

$n=\frac{S}{180}+2$

Step-by-step explanation:

Hi there!

$S=(n-2)180$

We can isolate n by performing inverse operations on both sides to cancel out values.

First, divide both sides by 180 to isolate n-2:

$\frac{S}{180}=n-2$

Now, add 2 to both sides to isolate n:

$\frac{S}{180}+2=n\\n=\frac{S}{180}+2$

I hope this helps!

5 0

3 years ago

Kruka [31]

Answer:

24 points

Step-by-step explanation:

We are told timothy usually scores 6 points per quarter of a baektball game.

Now, there are 4 quarters in a basketball game.

Thus, number of points per game = number of points per quarter × number of quarters per game = 6 × 4 = 24 points

6 0

3 years ago

Solve. Х - - 5 - 8 The solution is x=

amm1812

It should be 20 I did it on my test

3 0

3 years ago

Read 2 more answers

X=y+2 X=2y+1 Solving Systems of Equations by subtraction Please solve this

vivado [14]

Answer:

$x=3$

$y=1$

Step-by-step explanation:

We can subtract the first equation from the second to find the value of $y$ , although we can also do this vice versa.

$x-x=2y+1-y-2$

$y-1=0$

$y=1$

Now, we can use substitution to solve for $x$ :

$x = y+2$ (pick any equation for substitution)

$x=1+2$

$x=3$

Hope this helps :)

8 0

3 years ago

I need help with #8 and #9 Please! :) I will mark as brainliest!

k0ka [10]

Answer:

see explanation

Step-by-step explanation:

(8)

the common ratio r, of a geometric sequence is

r = $\frac{a_{2} }{a_{1} }$ = $\frac{a_{3} }{a_{2} }$ = ......

r = $\frac{\frac{1}{32} }{\frac{1}{256} }$ = $\frac{\frac{1}{4} }{\frac{1}{32} }$ = 8

(9)

The simplest way to evaluate the sum is to substitute k = 3, 4, 5, 6 into each term and sum them

(- 9 + 20) + (- 12 + 20) + (- 15 + 20) + (- 18 + 20)

= 11 + 8 + 5 + 2 = 26

6 0

3 years ago