Answer:
vertical angles
Step-by-step explanation:
Angle 1 and 3 are vertical angles. The angles are made from the same lines and share a vertex. They are opposite it each other
Answer:
is the answer.
Step-by-step explanation:
Well the first thing we would do is simplify all the exponents first inside the parenthesis. So 2^-3 is equal to 1/8. To solve negative exponents you would just divide the number instead of multiply, so 2 divided by 2 divided by 2 is equal to ⅛ or .125
Next would be to do the 2^-9. This would equal 1/512
Now would be to simplify 5^0. Anything to the power of 0 is always one. So now we simplify all the products meaning 7*5*2 and 7*3.
Now we would simplify both fractions.
The picture are pretty much self explanatory. If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
Answer:
x=17 <A= 114
I think this is the answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Direct Variation takes the form
Inverse Variation takes the form
- Where A and B are the 2 variables associated and k is the proportionality constant.
<em>Since </em><em>number of dolls [N] </em><em>varies </em><em>directly </em><em>with </em><em>advertising budget [A],</em><em> in our equation, </em><em>A should go in the numerator</em><em> and since </em><em>number of dolls [N] </em><em>varies </em><em>inversely</em><em> with </em><em>price of dolls [P]</em><em>, </em><em>P should go in the denominator.</em>
Thus we can write our equation as:
Solving this equation for k given the information "The company sold 5200 dolls when $26,000 was spent on advertising and the price of a doll was set at $30":
Rounding to
Now, given that we want to find the number of dolls [N] when and , we have:
dolls
Answer choice D is correct.
Answer:
a)
b)
c)
d)
Step-by-step explanation:
We will use the following trigonometric identities
.
Recall that given a right triangle, the sin(theta) is defined by opposite side/hypotenuse. Since we know that the angle is in quadrant 2, we know that x should be a negative number. We will use pythagoras theorem to find out the value of x. We have that
which implies that . Recall that cos(theta) is defined by adjacent side/hypotenuse. So, we know that the hypotenuse is 7, then
b)Recall that , then using the identity from above, we have that
c) Recall that . Then,
d) Recall that and . Then