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2 years ago

Find the value of A , B and C from the following figure

Mathematics

1 answer:

AveGali [126]2 years ago

6 0

Step-by-step explanation:

Here in the given figure the value of x will be 70° ( being alternative angle )

x = 70°

Now...

y = 60° ( being corresponding angle )

Now...

60° + 70° + z = 180° ( the sum of interior angle of triangle is 180°

z = 180° - 130°

z = 50° ..

$...$

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3 years ago

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10 POINTS<br> Find the surface area of the regular pyramid. Round to the nearest tenth if necessary.

NNADVOKAT [17]

Answer:

$SA=234.8\ yd^2$

Step-by-step explanation:

we know that

The surface area of the regular pyramid is equal to the area of the triangular base plus the area of its three triangular lateral faces

step 1

Find the area of the triangular base

we know that

The triangular base is an equilateral triangle

The area applying the law of sines is equal to

$A=\frac{1}{2}(14^2)sin(60^o)$

$A=\frac{1}{2}(196)\frac{\sqrt{3}}{2}$

$A=49\sqrt{3}=84.87\ yd^2$

step 2

Find the area of its three triangular lateral faces

$A=3[\frac{1}{2}bh]$

we have

$b=14\ yd$

Find the height of triangles

Applying the Pythagorean Theorem

$10^2=(14/2)^2+h^2$

solve for h

$100=49+h^2$

$h^2=100-49$

$h=\sqrt{51}\ yd$

substitute

$A=3[\frac{1}{2}(14)\sqrt{51}]$

$A=149.97\ yd^2$

step 3

Find the surface area

Adds the areas

$SA=84.87+149.97=234.84\ yd^2$

Round to the nearest tenth

$SA=234.8\ yd^2$

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3 years ago

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Can someone translate this into a verbal expression 3(4j + 4 + j)?

dalvyx [7]

3(5j+4)
15j+12

final answer 15j+12

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3 years ago

The sum of three consecutive even integers is 72. Let x represent the first integer x+2 represent the second integer and x+4 rep

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3rd number = 22+4 = 26

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3 years ago

Simplify 4(b-6)+19 ?

Digiron [165]

Answer:

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Step-by-step explanation:

Perform the indicated multiplication first: 4b - 24 + 19. Next, combine like terms, obtaining 4b -5 (answer)

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3 years ago

Find the value of A , B and C from the following figure​

Find the value of A , B and C from the following figure