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4 years ago

Please help me in question 7

Mathematics

1 answer:

dolphi86 [110]4 years ago

7 0

The roots of a quadratic function are the points at which the cross the x axis (the x- intercepts). so your roots are

(3) 3 and -6

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PLEASE HELP!!!!!!

jek_recluse [69]

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}\\\\
-----------------------------\\\\

\begin{cases}
a=12\\
b=10\\
D=90+50
\end{cases}\implies d = \sqrt{{{ 12}}^2+{{ 10}}^2-2(12)(10)cos(140^o)}
\\\\\\
d\approx \sqrt{427.851}\implies d\approx 20.684551$

5 0

3 years ago

Read 2 more answers

. Find the area of the regular dodecagon inscribed in a circle if one vertex is at (3, 0).

devlian [24]

Answer:

Area of the regular dodecagon inscribed in a circle will be 27 square units.

Step-by-step explanation:

A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.

Since angle formed at the center by a polygon = $\frac{360}{n}$

Therefore, angle at the center of a dodecagon = $\frac{360}{12}$ = 30°

Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units

Now area of a small triangle = $\frac{1}{2}.(a).(b).sin\theta$

where a and b are the sides of the triangle and θ is the angle between them.

Now area of the small triangle = $\frac{1}{2}.(3).(3).sin30$

= $\frac{9}{4}$

Area of dodecagon = 12×area of the small triangle

= 12× $\frac{9}{4}$

= 27 unit²

Therefore, area of the regular octagon is 27 square unit.

4 0

3 years ago

An airplane flies 105 miles per half an hour. How far can it fly in 1.25 hours at the same speed. Brainliest for correct answer.

marin [14]

262.5 should be the correct answer though. 105/30=3.5 so the plane is approximately traveling at 3.5 miles per minute. 3.5x60= 210 so at an hour it has traveled 210 miles. Then we must find .25 of an hour which is 15 minutes. 15x 3.5=52.5. Add both the hour value and the .25 of an hour value together and it is 262.5 miles.

7 0

3 years ago

Read 2 more answers

A store sells mugs. Each mug cost the same amount.

Rom4ik [11]

Answer:

nobody won't be able to answer this without some more details.

4 0

3 years ago

Read 2 more answers

Estimate the angular diameter of your thumb, held at arm's length.

DochEvi [55]

Well, this depends on the length of your outstretched arm from the joint of your shoulder to the joint of your thumb finger. Mine is 21 inches long. My thumb is 2.5 inches long. The angular diameter can be determined using the trigonometric functions. We can use the tangent function

tan θ = opposite side/adjacent side = thumb's length/shoulder-to-finger length
tan θ = 2.5 in/21 in
θ = 6.79°

3 0

3 years ago