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3 years ago

Question 17

Mathematics

1 answer:

jeyben [28]3 years ago

6 0

Answer:

Options C and D are the correct options.

Step-by-step explanation:

Option A

cos(H) = 0.3846

By applying cosine rule in ΔFGH,

cos(H) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{36}{39}$

= 0.9231

False

Option B

cos(G) = 0.9231

By applying cosine rule in ΔFGH,

cos(G) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{15}{39}$

= 0.3846

False

Option C

sinG = 0.9231

By applying sine rule in ΔFGH,

sin(G) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

= $\frac{36}{39}$

= 0.9231

True

Option D

tanG = 2.4

By applying tangent rule in ΔFGH,

tanG = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

= $\frac{36}{15}$

= 2.4

True

Therefore, Options C and D are the correct options.

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If a figure is dilated by a factor of 6 the area of the figure will change by a factor of?

djyliett [7]

The figure will change by factor of 6

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3 years ago

Find the range of the following piecewise function.

mash [69]

Answer:

$\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}$

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

$y=3x-2\ \text{if}\ -1\leq x$

Substitute x =-1 and x = 0:

$x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2$

Range of this piece is [-5; -2)

$y=2x+3\ \text{if}\ 0\leq x$

Substitute x =0and x = 5:

$x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13$

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

$[-5;\ -2)\ \cup\ [3;\ 13)$

Look at the picture.

6 0

3 years ago

:))))))))))))))))))))))))))))ty

goldenfox [79]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

Rick and Betty are going to Virginia. It is an 8 hour trip. Rick gets. 50 mile head start and drives at a rate of 55 mph. Betty

maw [93]

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Step-by-step explanation:

Given,

Head start of Rick = 50 miles

Speed of Rick = 55 mph

Let,

x be the number of hours

y be the total miles

Distance covered by Rick in x hours = Speed * Time + Head start

y = 55x + 50

Speed of Betty = 65 mph

Total miles = Speed*Time

y=65x

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Keywords: variable, addition

Learn more about variables at:

#LearnwithBrainly

7 0

3 years ago

Please help me hurry please

aalyn [17]

Answer:

y = root under 24 (evaluate it if necessary)

or y = 2 root 6

Step-by-step explanation:

Let the reference angle be x

for the triangle in left,

b = 6-4 = 2

Now,

taking x as refrence angle,

cosx = b/h

or, cosx = 2/h

again,

for the bigger triangle,

taking x as reference angle,

cosx = b/h

or, cosx = b/6

As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,

Let's suppose its a

so, cosx = a/6 = 2/a

now,

a/6 = 2/a

or, a² = 12

now,

for bigger triangle, using pythagoras theorem,

h² = p²+b²

or, 6² = y² + a²

or, 36 = y² + 12

or, y² = 24

so, y = root under 24

5 0

2 years ago