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2 years ago

what is the value of x in the diagram below? if necessary round your answer to the nearest tenth of a until

Mathematics

2 answers:

VladimirAG [237]2 years ago

6 0

Answer:

Step-by-step explanation:

Calculate AC using Pythagoras' identity in ΔABC

AC² = 20² - 12² = 400 - 144 = 256, hence

AC = $\sqrt{256}$ = 16

Now find AD² from ΔACD and ΔABD

ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²

ΔABD → AD² = 12² - x² = 144 - x²

Equate both equations for AD², hence

256 - 400 + 40x - x² = 144 - x²

-144 + 40x - x² = 144 - x² ( add x² to both sides )

- 144 + 40x = 144 ( add 144 to both sides )

40x = 288 ( divide both sides by 40 )

x = 7.2 → C

Gnom [1K]2 years ago

5 0

Answer: the other answer for apex for the pre test is 6.5

Step-by-step explanation:

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Evaluate the line integral, where c is the given curve. c y3 ds,

postnew [5]

Parameterizing $\mathcal C$ by

$\mathbf r(t)=(t^3,t)$

with $0\le t\le2$ , we have

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt=\sqrt{(3t^2)^2+1^2}\,\mathrm dt=\sqrt{9t^4+1}\,\mathrm dt$

So

$\displaystyle\int_{\mathcal C}y^3\,\mathrm ds=\int_{t=0}^{t=2}t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_0^236t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_{u=1}^{u=145}\sqrt u\,\mathrm du$
$=\dfrac{145^{3/2}-1}{54}$

5 0

3 years ago

0.7 mm to centimeters

san4es73 [151]

Answer: 0.07 centimeters

Step-by-step explanation: 0.7millimeters equals 0.07 centimeters

8 0

3 years ago

Graph the line y=-3x

tino4ka555 [31]

Answer:

Step-by-step explanation:

Graph y = -3x. Start at the origin (0, 0). Place a dark dot there. Now, starting with your pencil point on that dot, move 1 space to the right and from this new point move 3 spaces down. Place a dark dot at this new point.

Now draw a straight line through both dark dots. This is the desired graph.

3 0

3 years ago

Read 2 more answers

In order to make a service for four 1 3/4 cups of chopped vegetables are needed. Based on this information, determine the amount

Mila [183]

For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:

$1 \frac {3} {4} = \frac {4 * 1 + 3} {4} = \frac {7} {4}$ cups

4 ----------> $\frac {7} {4}$

10 ----------> x

Where the variable "x" represents the amount of chopped of vegetables needed for 10 people.

$x = \frac {10 * \frac {7} {4}} {4}\\x = \frac {\frac {70} {4}} {4}\\x = \frac {70} {16}\\x = \frac {35} {8}$

This is equivalent to $4 \frac {3} {8}$ cups.

Answer:

$4 \frac {3} {8}$ cups

6 0

3 years ago

Need help ASAP!!!!!!

trapecia [35]

Answer:

see explanation

Step-by-step explanation:

x² + 3x + 7 = 5 ( subtract 5 from both sides )

x² + 3x + 2 = 0 ← in standard form

(x + 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x ( zero product rule )

x + 2 = 0 → x = - 2

x + 1 = 0 ⇒ x = - 1

--------------------------------------------------------------

x² - 2 = - 2x² + 5x ( subtract - 2x² + 5x from both sides )

3x² - 5x - 2 = 0 ← in standard form

(3x + 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - $\frac{1}{3}$

x - 2 = 0 ⇒ x = 2

------------------------------------------------------------

(x + 3)² + 4x = 0 ← expand left side using FOIL and simplify

x² + 6x + 9 + 4x = 0

x² + 10x + 9 = 0 ← in standard form

(x + 9)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x + 1 = 0 ⇒ x = - 1

4 0

3 years ago