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3 years ago

Find the missing length

Mathematics

1 answer:

kirza4 [7]3 years ago

4 0

Answer:

9, 10, 3 and 1/3

Step-by-step explanation:

21 = 7 x 3

Therefore divide each side of the larger triangle by three to get the smaller one.

27/3 = 9

30/3 = 10

10/3 = 3.33333...

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Find the exact roots of x²-2x-10=4x

BARSIC [14]

Answer:

$x = 3 - \sqrt{19} \: \: or \: \: x = 3 + \sqrt{19}$

Step-by-step explanation:

The given equation is

${x}^{2} - 2x - 10 = 4x$

We group the linear terms to get:

${x}^{2} - 2x - 4x - 10 = 0$

${x}^{2} - 6x - 10 = 0$

We compare to

$a {x}^{2} + bx + c = 0$

This means

a=1, b=-6 and c=-10

We plug in the values into the quadratic formula:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

This gives us

$x = \frac{ - -6 \pm \sqrt{ {( - 6)}^{2} - 4 \times 1 \times - 10 } }{2 \times 1}$

$x = \frac{ 6 \pm \sqrt{ 36 + 40 } }{2}$

$x = \frac{ 6 \pm \sqrt{76 } }{2}$

$x = \frac{ - 6 \pm 2\sqrt{19} }{2}$

$x = 3 \pm \sqrt{19}$

The solutions are

$x =3 + \sqrt{19}$

$x = 3 - \sqrt{19}$

7 0

3 years ago

Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enoug

borishaifa [10]

The true option about the randomized design is (c) Betty should prepare all 60 cookies.

Each cookie will receive a number.

The numbers will be written on slips of paper, put into a hat, and shuffled well.

The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.

The given parameters are:

n=60

batches=4

cookies=15 ---- the number of cookies in each batch

Temperature=300,325,350,375.

To randomly assign the cookies to the given temperatures, all cookies have to be subjected to the same conditions (except for the difference in the temperature).

<h3>What is the temperature?</h3>

Normal human body temperature is the typical temperature range found in humans. The normal human body temperature range is typically stated as 36.5–37 °C. Human body temperature varies.

This means that she can bake all the cookies at once at different temperatures while noting down the cookies with a given number.

Hence, the true option is (c)