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2 years ago

Find the total surface area of this triangular prism. 10 cm 6 cm 4 cm 8 cm

Mathematics

1 answer:

timama [110]2 years ago

7 0

Answer:

144

Step-by-step explanation

8x6=48

48 divided by 2=24

24x2=48

4x10=40

8x4=32

4x6=24

add them all together so 48+40+32+24=144

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6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0

3 years ago

There are 7 days in 1 week. some months consist of 30 days. how manu weeks are there in 280 days

Olegator [25]

You should divide 280 into 3 which would equal 9

4 0

2 years ago

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3x²-30x+9=0 PLEASE HELP COMPLETING THE SQUARE WILL MARK BRAINLIEST

nlexa [21]

Answer:

i have done the cutting of x's exponent

Step-by-step explanation:

= 3x - 30+9 =0

= 3x - 21 =0

= 3x= 21

= x = 21/3

x= 7 this the answer

7 0

2 years ago

PLEASE HELP WITH EXPLANATION F(x) = 3 - x; g(x) = -2x find f(g(2))

ioda

Given,

$f(x) = 3 - x$

and

$g(x) = -2x$

Now,

$g(2) = - 2(2) = - 4$

$f(g(2)) = 3 - ( - 4) = 3 + 4 = 7$

8 0

2 years ago

I need to know what's 1131÷29 pronto

Ivahew [28]

the answer is 39 because you need to divide.

6 0

3 years ago

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