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2 years ago

Solve for xx. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

Mashcka [7]2 years ago

6 0

sin U= |TS| / |US|

-> |US| = |TS| / sinU

-> x= 0.6 / sin 37°

-> x≈1,0

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A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much ca

Alex787 [66]

Answer:

∴35.97 mg caffeine would be left in the system after 5 hours.

Step-by-step explanation:

Given that,

A cup of coffee has approximately 310 mg of caffeine.

Caffeine decrease at a rate 35% per hour.

Exponential Function:

$y(t)=y_0(1-r)^t$

y(t)= Amount caffeine after t hours

$y_0$ = Initial amount of caffeine

r= rate of decrease

t = Time in hour.

Here y(t)=?, $y_0$ = 310 mg, r=35%=0.35, t= 5 hours

$y(t)=310(1-0.35)^5$

=35.97 mg

∴35.97 mg caffeine would be left in the system after 5 hours.

3 0

3 years ago

Solve the systems equations for x and y and check:<br> y=2x+10<br> x=3y

andriy [413]

For Y=2x+10 X=y/2 -5. Second x/3

6 0

2 years ago

In the coordinate plane, draw quadrilateral ABCD with A(–5, 0), B(2, –6), C(8, 1), and D(1, 7), then demonstrate that ABCD is a

Len [333]

Answer:

ABCD is a rectangle

Step-by-step explanation:

∵ A = (-5 , 0) , B = (2 , -6) , C = (8 , 1) , D = (1 , 7)

∵ The x-coordinate of the mid-point of AC = (-5 + 8)/2 =3/2

∵ The y-coordinate of the mid-point of AC = (0 + 1)/2 = 1/2

∴ The mid-point of AC = (3/2 , 1/2)

∵ The x-coordinate of the mid-point of BD = (2 + 1)/2 =3/2

∵ The y-coordinate of the mid-point of BD = (-6 + 7)/2 = 1/2

∴ The mid-point of BD = (3/2 , 1/2)

∴ The mid-point of AC = The mid-point of BD ⇒ (1)

∵ AC = √[(8 - -5)²+(1 - 0)² = √170

∵ BD = √[(1 - 2)²+(7 - -6)² = √170

∴ AC = BD ⇒ (2)

From (1) and (2)

AC and BD equal each other and bisects each other

∴ ABCD is a rectangle

7 0

3 years ago

“Hunter tutors students in mathematics to earn

Anna007 [38]

Answer:

Step-by-step explanation:

4 0

3 years ago

The longest leg of a right triangle is 12 inches. The hypotenuse is 3 inches longer then twice the shortest leg. How long is the

Llana [10]

Answer:

Shortest Leg: 5 inches, Hypotenuse: 13 inches

Step-by-step explanation:

A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.

6 0

3 years ago