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2 years ago

Which of the following describes the vertical shift up or down of a trig. function graph?

Mathematics

1 answer:

Xelga [282]2 years ago

3 0

Answer:

Step-by-step explanation:

a) amplitude is the answer

please like if i helped you.

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Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len

FromTheMoon [43]

Width of the miniature model = $3\frac{3}{4}$ inches

Length of the miniature model = $5\frac{1}{2}$ inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x$

$$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x$

$$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}$

Do cross multiplication.

$$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}$

$$\Rightarrow{\frac{15}{4}x =\frac{165}{2}$

$$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}$

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0

3 years ago

tom jogged 3/10 mile, betsy jogged 5/10 mile, and sue jogged 2/10 mile. who jogged a longer distance than 4/10 mile?

Inga [223]

Betsey jogged the longer distance.

5 0

3 years ago

Joey had eight pencils in the morning. He gave some pencils away to friends who needed them. To determine the number of pencils

pshichka [43]

Answer : Subtract

Hope it help you

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6 0

1 year ago

Find the length of side x to the nearest tenth

navik [9.2K]

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

3 0

2 years ago

Please help :(,,,,,,???,,,,,,

nadya68 [22]

Step-by-step explanation:

The first one (f×g)(x) is asking you what is f of x times g of x. This means you multiply the function. You can multiply by the first term (5x) then the second (3) and combine like terms.

${15x}^{2} (5x) = {75x}^{3} \\ 19x(5x) = 95 {x}^{2} \\ 6(5x) = 30x$

${15x}^{2} (3) = 45 {x}^{2} \\ 19x(3) = 57x \\ 6(3) = 18$

Combine like terms

${75x}^{3} + {95x}^{2} + {45x}^{2} + 30x + 57x \\ + 18 = \\ {75x}^{3} + {140x}^{2} + 87x + 18$

The second one asks you to divide.

Factor out f(x):

${15x}^{2} + 19x + 6$

From dividing f(x) /g(x)

$\frac{ {15x}^{2} + 19x + 6 }{5x + 3}$

$\frac{(5x + 3)(3x + 2)}{5x + 3}$

Cancel like terms since (5x+3) is on top and bottom of fraction.

You get 3x+2

5 0

3 years ago