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2 years ago

6

Find the solution to the system of equations. y=2x+3 y=-x

1 answer:

stepan [7]2 years ago

3 0

Answer:

X=-1, y=1

Step-by-step explanation:

- x=2x+3

-3x=3

X=-1

Y=-1*-1=1

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How many inches are in 4 meters

Vilka [71]

Answer:

There are 157.48 inches in 4 meters.

5 0

3 years ago

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What is the reference angle for 7pi/6

DanielleElmas [232]

The reference angle is a positive acute angle. Angle 7π/6 in radians= = 7*180°/6 = 210° ( because π rad=180°).
This angle is in the 3rd Quadrant and formula for the reference angle is:
x-180°.
210°-180°=30°
Answer: The reference angle for 7π/6 is 30°.

3 0

3 years ago

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Lim 1 + cos TX<br>5.<br>x>1 tanưrex

Brums [2.3K]

Answer: 1/2

$\lim_{x \to 1}\frac{1+cos \pi x}{tan^{2}\pi x }\\\\ = \lim_{x \to 1} \frac{1+cos\pi x}{\frac{sin^{2}\pi x }{cos^{2}\pi x } } \\\\\\= \lim_{x \to 1}\frac{cos^{2}\pi x(1+cos\pi x) }{sin^{2}\pi x } \\\\\\= \lim_{x \to 1} \frac{cos^{2}\pi x(1+cos\pi x)}{1-cos^{2}\pi x } \\\\= \lim_{x \to 1} \frac{cos^{2}\pi x }{1-cos\pi x} \\\\= \lim_{x \to 1}\frac{cos^{2}\pi .1 }{1-cos\pi .1}\\\\= \lim_{x \to 1}\frac{1}{1-(-1)}\\\\=\frac{1}{2}$

Step-by-step explanation:

5 0

2 years ago

Given: △ABC, AB=5 square root 2 <br><br>m∠A=45°, m∠C=30°<br><br>Find: BC and AC

hichkok12 [17]

Answer:

Part a) $BC=10\ units$

Part b) $AC=13.66\ units$

Step-by-step explanation:

step 1

Find the length side BC

Applying the law of sines

we know that

$\frac{AB}{sin(C)}=\frac{BC}{sin(A)}$

we have

$AB=5\sqrt{2}\ units$

$A=45^o$

$C=30^o$

substitute

$\frac{5\sqrt{2}}{sin(30^o)}=\frac{BC}{sin(45^o)}$

solve for BC

$BC=\frac{5\sqrt{2}}{sin(30^o)}(sin(45^o))$

$BC=10\ units$

step 2

Find the measure of angle B

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$45^o+m\angle B+30^o=180^o$

$75^o+m\angle B=180^o$

$m\angle B=180^o-75^o$

$m\angle B=105^o$

step 3

Find the length side AC

Applying the law of sines

we know that

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

we have

$AB=5\sqrt{2}\ units$

$A=45^o$

$B=105^o$

substitute

$\frac{5\sqrt{2}}{sin(30^o)}=\frac{AC}{sin(105^o)}$

solve for AC

$AC=\frac{5\sqrt{2}}{sin(30^o)}(sin(105^o))$

$AC=13.66\ units$

4 0

3 years ago

3. An ice cream shop sells ice cream cones with exactly

BigorU [14]

Answer:This can be solved using the strategy used in this post:

It comes down to calculating

(5+3−13)=(73)=7⋅6⋅51⋅2⋅3=35

What we are doing is the following: We create 5 'buckets' of flavors:

−−−|−−−|−−−|−−−|−−−

Now, we want do divide the three scoops over the 5 buckets. Below, a scoop is shown as O. Some possibilities are:

O|O|||O||OOO||etc...

There are 4 borders between the buckets and 3 scoops. Thus, there are (4+33)=35 possibilities

Step-by-step explanation:

7 0

3 years ago