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4 years ago

What is the solution

Mathematics

1 answer:

algol [13]4 years ago

5 0

Hey there!

Always get the variable by itself first.

4+∛2y=6

Subtract 4 on both sides.

∛2y= 2

Cube both sides.

2y= 8

Divide both sides by 2.

y=4

I hope this helps!

~kaikers

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Given: Inscribed △ABC

nexus9112 [7]

Answer:

$AB=20\sin 80^{\circ}\approx 19.7\ in\\ \\AC=20\sin 65^{\circ}\approx 18.1\ in\\ \\BC=20\sin 35^{\circ}\approx 11.5\ in$

Step-by-step explanation:

In triangle ABC, OA = OB = OC = 10 in. These segments are radii of sircumscribed circle. So, R = 10 in.

The sum of all interio angles is 180°, so

m∠C=180°-35°-65°=80°

Use the sine theorem,

$\dfrac{AB}{\sin C}=\dfrac{AC}{\sin B}=\dfrac{BC}{\sin A}=2R$

Thus,

$\dfrac{AB}{\sin 80^{\circ}}=\dfrac{AC}{\sin 65^{\circ}}=\dfrac{BC}{\sin 35^{\circ}}=20$

Therefore,

$AB=20\sin 80^{\circ}\approx 19.7\ in\\ \\AC=20\sin 65^{\circ}\approx 18.1\ in\\ \\BC=20\sin 35^{\circ}\approx 11.5\ in$

7 0

3 years ago

Totally cellular charges $30 for a monthly plan, with an additional .20 per text message. Gnarly Cells charges $40 for a monthly

Taya2010 [7]

Answer:

100 texts

Step-by-step explanation:

Let the amount of text messages be x. Since we are looking at making both plans equal, we add the fixed monthly charges to the number of messages multiplied by the cost.

The total amount charged by Totally will be 30 + 0.2x

The total amount charged by Gnarly will be

40 + 0.1x

Now since we are trying to get the number of text messages that make both charges equal, we equate the two charges and that is:

30 + 0.2x = 40 + 0.1x

40 - 30 = 0.2x - 0.1x

0.1x = 10

x = 10/0.1 = 100 texts

5 0

3 years ago

On a mountain, the temperature decreases by 18°F every 5000 feet. What integer represents the change in temperature at 20,000 fe

gizmo_the_mogwai [7]

18 times 4 = 72

Because 5000 times 4 = 20,000

The change in temp. is -72degrees

8 0

3 years ago

The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra

kotegsom [21]

Answer

given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

$p-50 = \dfrac{50-52}{4000-3800}(x - 4000)$

$p-50 = \dfrac{-2}{200}(x - 4000)$

$p-50 = \dfrac{-x}{100}+ 40$

$p = \dfrac{-x}{100}+ 90$

R(x) = x . p

$R(x) = x (\dfrac{-x}{100}+ 90)$

$R(x) = \dfrac{-x^2}{100}+ 90x)$

$\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))$

$\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)$

at $\dfrac{d}{dx}(R(x)) = 0$

$\dfrac{-2x}{100}= -90$

x = 4500

$\dfrac{d^2}{d^2x}(R(x)) = -ve$

hence at x =4500 the revenue is maximum

for maximum revenue ticket price will be

$p = \dfrac{-4500}{100}+ 90$

p = $45

6 0

4 years ago

Solve for x:<br> x+10<br> = 4<br> 2<br> -

ELEN [110]

Simplify
3
x
2
−
x
3
x
2
-
x
.
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x
2
=
x
10
−
4
5
x
2
=
x
10
-
4
5
Move all terms containing
x
x
to the left side of the equation.
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2
x
5
=
−
4
5
2
x
5
=
-
4
5
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
2
x
=
−
4
2
x
=
-
4
Divide each term by
2
2
and simplify.
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x
=
−
2

6 0

3 years ago

Read 2 more answers