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2 years ago

Find BC to the nearest tenth. will give brainilist

Mathematics

1 answer:

horsena [70]2 years ago

4 0

Answer:

BC = 20.7

Explanation:

Formula used: a² = b² + c² - 2bc*cos(A)

Using the formula: BC² = 15² + 13² - 2*15*13*cos(95)

BC² = 427.991

BC = √427.991

BC = 20.7 units

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Find the values of the sine, cosine, and tangent for ZA. (TOP OF TRIANGLE IS (A))

Sloan [31]

$\bigstar\:{\underline{\sf{In\:right\:angled\:triangle\:ABC\::}}}\\\\$

AC = 7 m
BC = 4 m

⠀⠀⠀

$\bf{\dag}\:{\underline{\frak{By\:using\:Pythagoras\: Theorem,}}}\\\\$

$\star\:{\underline{\boxed{\frak{\purple{(Hypotenus)^2 = (Perpendicular)^2 + (Base)^2}}}}}\\\\\\ :\implies\sf (AB)^2 = (AC)^2 + (BC)^2\\\\\\ :\implies\sf (AB)^2 = (AB)^2 = (7)^2 = (4)^2\\\\\\ :\implies\sf (AB)^2 = 49 + 16\\\\\\ :\implies\sf (AB)^2 = 65\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{AB = \sqrt{65}}}}}}\:\bigstar\\\\$

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━

☆ Now Let's find value of sin A, cos A and tan A,

⠀⠀⠀

sin A = Perpendicular/Hypotenus = $\sf \dfrac{4}{\sqrt{65}} \times \dfrac{\sqrt{65}}{\sqrt{65}} = \pink{\dfrac{4 \sqrt{65}}{65}}$

⠀⠀⠀

cos A = Base/Hypotenus = $\sf \dfrac{7}{\sqrt{65}} \times \dfrac{\sqrt{65}}{\sqrt{65}} = \pink{\dfrac{7 \sqrt{65}}{65}}$

⠀⠀⠀

tan A = Perpendicular/Base = ${\sf{\pink{\dfrac{4}{7}}}}$

⠀⠀⠀

$\therefore\:{\underline{\sf{Hence,\: {\pmb{Option\:A)}}\:{\sf{is\:correct}}.}}}$

4 0

3 years ago

F(x)= 3x - 4x2 +6x and g(x)= 5x +2x2 – 3x. What is f(x) g(x)?

goldenfox [79]

f(x)g(x) = 9x² + 10x - 16

Step-by-step explanation:

Step 1:

Given f(x) = 3x - 4 × 2 + 6x and g(x) = 5x + 2 × 2 - 3x

f(x) = 9x - 8

g(x) = 2x + 4

f(x)g(x) = (9x - 8)(2x + 4)

= 18x² + 36x - 16x -32

= 18x² + 20x - 32

= 9x² + 10x - 16

7 0

3 years ago

Marcus is a car salesman and he earned an 8% commission on his monthly sales last month his sales total was $95,342 how much com

alukav5142 [94]

Answer:

7627.36

Step-by-step explanation:

95342 * 8% = 7627.36

7 0

3 years ago

A mountain bike has a diameter of 26 inches. To the nearest foot how far does the tire travel when it makes 32 revolutions?

Tcecarenko [31]

Hello!

You have to find the circumference

You use the equation

$2 \pi r$

r is radius which is half the diameter

This gives us 81.68

Multiply this by 32

81.68 * 32 = 2613.76

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The answer is 217.8133 feet

Hope this helps!

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3 years ago

If I make $14.00 an hour how much will I make monthly?

kondaur [170]

Well, you earn 14x dollars per month, where x is the number of hours you work every month. All you need to do is multiply 14 times the number of hours you work every month.

Please consider marking this answer as Brainliest to help me advance.

6 0

3 years ago

Read 2 more answers