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2 years ago

According to these three facts, which statements are true?

Mathematics

1 answer:

natta225 [31]2 years ago

7 0

Answer: circle w has center

Step-by-step explanation:

Because the center and the radius of the circle

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Y=1/2x+3 -x+27=-6 solve using substitution

Nat2105 [25]

Answer:

y= 19.5 x=33

Step-by-step explanation:

-x + 27= -6

(subtract 27 on both sides)

-x= -33

(divide by negative 1 on both sides)

x= 33

(substitute x into the first equation)

y= 1/2x + 3

y= 1/2(33) +3

y= 16.5 +3

y= 19.5

hope this helps :))

3 0

3 years ago

Describe the difference between the calculation of population standard deviation and that of sample standard deviation.

taurus [48]

Answer:

View graph

Step-by-step explanation:

The population refers to the whole set under study, while the sample is a representative part of that population.

3 0

3 years ago

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

e-lub [12.9K]

Answer:

$\boxed {\boxed {\sf x \approx 1.9}}$

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

sinθ= opposite/hypotenuse
cosθ= adjacent/hypotenuse
tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

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

θ= 54
opposite= x
hypotenuse = 2.3

$sin (54)= \frac{ x}{2.3}$

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

$2.3* sin (54)= \frac{x}{2.3}*2.3$

$2.3* sin (54)=x$

$2.3*0.8090169944=x$

$1.860739087 =x$

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

$1.9 \approx x$

x is approximately 1.9

7 0

3 years ago

The floor of a shed has an area of 108 ft. The floor is a rectangle whose length is 6 feet less than twice the width. Find the w

Lesechka [4]

A = L x W

A = 108

108 = L x W

L = 2w - 6

108 = (2w-6) (W)

7 0

3 years ago

Find derivative of the following problem ?

stepan [7]

Let u = x.lnx, , w= x and t = lnx; w' =1 ; t' = 1/x

f(x) = e^(x.lnx) ; f(u) = e^(u); f'(u) = u'.e^(u)

let' find the derivative u' of u
u = w.t
u'= w't + t'w; u' = lnx + x/x = lnx+1

u' = x+1 and f'(u) = ln(x+1).e^(xlnx)

finally the derivative of f(x) =ln(x+1).e^(x.lnx) + 2x

4 0

3 years ago