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patriot [66]
1 year ago
9

Use right triangle DCB to find the trig values for angle D. sinD = cosD = tanD =

Mathematics
2 answers:
Sever21 [200]1 year ago
4 0
Sin D=35/37
cos D=12/37
tan D= 35/12
Use SOHCAHTOA
Natali5045456 [20]1 year ago
4 0

Answer:

sin(D)=\frac{35}{37}

cos(D)=\frac{12}{37}

tan(D)=\frac{35}{12}

Step-by-step explanation:

<u>Part a)</u> Find sin(D)

we know that

In a right triangle the value of sine of  an angle is equal to the opposite side to the angle  divided by the hypotenuse

sin(D)=\frac{CB}{DB}

substitute the values

sin(D)=\frac{35}{37}

<u>Part b)</u> Find cos(D)

we know that

In a right triangle the value of cosine of  an angle is equal to the adjacent side to the angle  divided by the hypotenuse

cos(D)=\frac{DC}{DB}

substitute the values

cos(D)=\frac{12}{37}

<u>Part c)</u> Find tan(D)

we know that

In a right triangle the value of tangent of  an angle is equal to the opposite side to the angle  divided by the adjacent side to the angle

tan(D)=\frac{CB}{DC}

substitute the values

tan(D)=\frac{35}{12}

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Marco has drawn a line to represent the perpendicular cross-section of the triangular prism. Is he correct? Explain. triangular
evablogger [386]

Answer:

The correct option is;

Yes, the line should be perpendicular to one of the rectangular faces

Step-by-step explanation:

The given information are;

A triangular prism lying on a rectangular base and a line drawn along the slant height

A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces

Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).

8 0
1 year ago
Read 2 more answers
A bowling alley charges $185 per hour for party’s. How much would a 2.5-hour party cost? Show your work
Furkat [3]

Answer:

462.5

Step-by-step explanation:

  1. first you have to figure out how many times you can multiply ($185) without going over.
  2. Second you have to figure out what half of 185 is. (92.5)
  3. Finally you add the half (92.5) with the total from #1. (370)
  4. And your Total is 462.5.
3 0
2 years ago
Read 2 more answers
Yuson must complete 210 min of community service. She does 30 min each day. Which linear equation represents the number of minut
Misha Larkins [42]

Answer:

y=-30x+210

Step-by-step explanation:

Let

x -----> the number of days

y ----> the number of minutes Yuson has left

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept (initial value)

In this problem we have

The slope is equal to

m=-30\frac{min}{day} ----> is negative because is a decreasing function

b=210\ min ----> initial value

substitute the values

y=-30x+210

3 0
2 years ago
A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty
Shtirlitz [24]

Answer:

  455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

  15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to make the pizza.

___

If two or three of the topping choices can be the same, then there are an additional ...

  2(15C2) +15C1 = 2·105 +15 = 225

ways to make the pizza, for a total of ...

  455 + 225 = 680

different types of pizza.

__

There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

_____

nCk = n!/(k!(n-k)!)

6 0
2 years ago
Annual income of A is 10% more than of B whereas income of B is 20% more than that of C. If monthly income of C is $ 2000 then w
Vanyuwa [196]

Answer:

7040

Step-by-step explanation:

C= 2000

B = 20/100 x 2000 = 400 + 2000 = 2400

A= 10/100 x 2400 = 240+2400= 2640

2000 + 2400 + 2640 = 7040

3 0
1 year ago
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