Answer:
x = - 3, y = - 1
Step-by-step explanation:
y = 7x + 20 -----> equation 1
4x - y = - 11
4x - ( 7x + 20 ) = - 11
4x - 7x - 20 = - 11
- 3x = - 11 + 20
- 3x = 9
x = 9 / - 3
x = - 3
Substitute x = - 3 in equation 1,
y = 7 ( - 3 ) + 20
= - 21 + 20
y = - 1
Hence,
x = - 3
y = - 1
Answer:
Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:
Solving, we get:
Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.
We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:
Step-by-step explanation:
I think you mean that 10 cm³ of air are escaping every second.
and we start with a volume of 500 cm³.
V = 500 - 10t 0 <= t <= 50
because negative t (seconds) don't make any sense, and neither does a negative volume (for t > 50).
Answer:
9/16 m.
Step-by-step explanation:
When you cut two pieces along its diagonal it causes it to be two congruent triangular pieces.
<em>You need to multiply the length and the width to find an area:
</em>
1 1/2 × 3/4
<em>Now you need to change it into an improper fraction:</em>
1*2+1 = 2+1 = 3; this gives us 3/2:
3/2 × 3/4 = 9/8 = 1 1/8
<em>Dividing it by 2:</em>
9/8 ÷ 2
Answer:
i-
Step-by-step explanation:
