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Nataly [62]
2 years ago
9

Please answer the question in the picture below

Mathematics
1 answer:
blsea [12.9K]2 years ago
6 0

Answer:

E

Step-by-step explanation:

5 is to ST    as   ST is to (5+7)

5/ST = ST/12    (ST)^2 = 60    ST = sqrt (60) = 2 sqrt 15

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What is the value of 10 to the sixth power?
natima [27]
The answer is b for boi
3 0
3 years ago
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Let t = cosA + sinA<br> find values of t if <br> 2 - sin2A = 2(cosA + sinA)
Zinaida [17]

2 - \sin(2A) = 2(\cos A + \sin A)\\\\2-2\sin A\cos A=2\cos A+2\sin A\\\\2\sin A\cos A+2\cos A+2\sin A-2=0\\\\1+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\\sin^2 A+\cos^2 A+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2(\cos A+\sin A)-3=0\\\\\\t^2+2t-3=0\\\\t^2+2t+1-4=0\\\\(t+1)^2=4\\\\t+1=2\qquad\vee \qquad t+1=-2\\\\\\\boxed{t=1\qquad\vee\qquad t=-3}

When A\in\mathbb{R}

t=\cos A+\sin A\in[-\sqrt{2};\sqrt{2}]\approx[-1.4142;1.4142]

and there is only one answer t = 1.

For A\in\mathbb{C} both values are correct.

4 0
4 years ago
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
olchik [2.2K]

The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     A=2\pi r h + 2\pi  r^{2}......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   r=\frac{d}{2}

                      = \frac{1.5}{2}

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × \pi × 0.75 × 5 ) + ( 2 × \pi × 0.75^{2} )

                      = ( 7.5 \pi ) + ( 1.125 \pi )

                  A = 8.625\pi cm^{2}

Result:

        The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

3 0
4 years ago
The data set shows the numbers of hours that employees at a certain shop worked in one week. What is the mean number of hours th
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Answer:

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Step-by-step explanation:

The following data set shows the numbers of hours that employees at a certain shop worked in one week

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Hence,

\text{mean}=\dfrac{34+36+32+40+39+17+35+33+36+34}{10}=\dfrac{336}{10}=33.6

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motikmotik

Answer:

1650

Step-by-step explanation:


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4 years ago
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