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3 years ago

Find x round your answer to the nearest integer.

Mathematics

2 answers:

stepan [7]3 years ago

6 0

Answer:

C. 12

Step-by-step explanation:

Pythagoras Theorem

daser333 [38]3 years ago

4 0

Answer:

Step-by-step explanation:

Note that x is opposite to the given angle and we are also given the hypotenuse.

Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:

$\displaystyle \sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}$

The opposite side is x, the hypotenuse is 15, and the angle is 53. Substitute:

$\displaystyle \sin 53^\circ = \frac{x}{15}$

Solve for x:

$x=15\sin 53^\circ$

Use a calculator (make sure you're in Degrees Mode!). Hence:

$x=11.9795...\approx 12$

Our answer is C.

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A study was completed in Florida. In southern Florida, the study involved 3,000 patients; 54% of them experienced flulike sympto

polet [3.4K]

Answer:

A (52,2%, 55,8%)

Step-by-step explanation:

To get the confidence interval, we have to add the margin of error to the point estimator.

The middle of the interval is 54%, and the ME is 1.8%. Don't forget that this means ±1.8%!

54 - 1.8 = 52.2%

54 + 1.8 = 55.8%

So our confidence interval is (52,2%, 55,8%) and the answer is A.

6 0

3 years ago

The volume of cube is 512cm3.find the length and volune of cube

Zielflug [23.3K]

Answer:

512cm³

Step-by-step explanation:

Volume=512cm³

Volume=length*breadth*height

4 0

3 years ago

Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.

max2010maxim [7]

Answer:

(4, 6)

Step-by-step explanation:

Substitution

Using the second equation, we can substitute for y in the first equation.

4x -(2x-2) = 10

2x +2 = 10 . . . . simplify

x +1 = 5 . . . . . . .divide by 2

x = 4 . . . . . . . . . subtract 1

y = 2(4) -2) = 6 . . . . substitute for x in the equation for y

The solution is (x, y) = (4, 6).

Elimination

Often, we like to start with both equations in standard form when we solve by elimination. That is nice, but not completely necessary.

We can eliminate the y-variable by simply adding the two given equations.

(4x -y) +(y) = (10) +(2x -2)

4x = 8 + 2x . . . . . collect terms. The y-variable has been eliminated.

2x = 8 . . . . . . . . . subtract 2x

x = 4 . . . . . . . . . . divide by 2

Y can be found using the second equation.

(x, y) = (4, 6)

We could have eliminated the x-variable by multiplying the second equation by 2, then adding the two equations.

(4x -y) +2(y) = (10) +2(2x -2)

y = 6 . . . . . . . . . subtract 4x from both sides. The x-variable has been eliminated.

Now, x can be found using either equation.

6 = 2x -2 . . . substitute for y in the second equation

3 = x - 1 . . . divide by 2

x = 4 . . . . . add 1

(x, y) = (4, 6)

3 0

3 years ago

Grapes cost $7.55 per pound. Evan wants to buy 4.8 pounds of grapes, and he estimates that he will need $32 to buy the 4.8 pound

gizmo_the_mogwai [7]

Evan rounded 4.8 down to 4. His estimate of 32 is too low.

I hope this helps, Good luck :)

8 0

3 years ago

Read 2 more answers

A projectile is shot into the air following the path,h(x) = - 5t2 + 20t + 3. At what time will it reach a maximum height? t = 1

kramer

Answer:

t = 2

Step-by-step explanation:

Notice that this expression for the projectile's path is that of a quadratic function with negative leading term. The graph of it therefore consists of a parabola with the branches pointing down (due to he negative leading coefficient). Therefore, the maximum of such parabola will reside at its vertex.

Recall that the formula for the position of the vertex in a general parabolic function of the form: $y(x)=ax^2+bx+c$ , is given by the expression: $x_{vertex}=-\frac{b}{2a}$

In our case, the variable "x" is in fact "t", the leading coefficient ( $a$ ) is -5, and the coefficient for the linear term ( $b$ ) is 20.

Therefore, the maximum of the path will be when $t=-\frac{20}{2(-5)} =\frac{20}{10} =2$

7 0

3 years ago