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3 years ago

The plane is vertical. What best describes the shape of the cross section?

Mathematics

1 answer:

Andrej [43]3 years ago

4 0

Looks to me like that plane is cutting a

rectangle

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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

2 years ago

Triangle EFG is dilated by a scale factor of 1/4 to form triangle E'F'G'. Side E'F' measures 12.512.5. What is the measure of

WINSTONCH [101]

Answer: 3.125

Step-by-step explanation:

Given

Triangle is dilated by a factor of $\frac{1}{4}$ i.e. each side multiplies to 0.25.

Side E'F' becomes 0.25 times the original length

$\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125$

6 0

2 years ago

If m // n and n // o and p is a transversal, find the

MakcuM [25]

Answer:

See below.

Step-by-step explanation:

Here is one pair of angle of each type. There are more correct answers.

corresponding angles: <K, <O

alternate interior angles: <N, <P

alternate exterior angles: <I, <S

same-side interior angles: <N, <Q

vertical angles: <P, <R

supplementary angles: <J, <M

8 0

2 years ago

How would the graph of the function y = r? - 8 be affected if the function were changed to y = x? - 3?

Leokris [45]

The graph would shift 5 units up

4 0

2 years ago

What are the zeros of the quadratic function represented by this graph?

Sholpan [36]

Answer:

Step-by-step explanation:

answer :C

3 0

2 years ago