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olga2289 [7]
4 years ago
7

Simplify the expression. 42y 2 3 14y 3 5

Mathematics
1 answer:
joja [24]4 years ago
3 0
5/y in fraction hope this helps you.
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Verify the following identity: sinx+cosx×cotx=cscx​
kow [346]
Left Hand Side :
sin
x
+
cos
x
cot
x
We know that
cot
x
=
cos
x
sin
x
Therefore
sin
x
+
cos
x
cot
x
=
sin
x
+
cos
x
⋅
(
cos
x
sin
x
)
=
sin
x
+
cos
2
x
sin
x
=
sin
2
x
+
cos
2
x
sin
x
(We know the Trigonometric Identity
sin
2
x
+
cos
2
x
=
1
)
=
1
sin
x
=
csc
x
(Because Cosecant is the reciprocal of Sine)
Hence Proved.
3 0
3 years ago
In a sample of 800 adults, 214 think that most celebrities are good role models. Two us adults are selected from this sample wit
Lady_Fox [76]

Answer:

11449/160000

Step-by-step explanation:

The probability of selecting a single adult that thinks most celebrities are good role models is 214/800 = 107/400

The probability that both do is

(107/400)^2 =. 11449/160000

6 0
4 years ago
Which of the following terms correctly describe the object below? <br><br> Check all that apply.
devlian [24]

We have to identify the given object.

A. Cube: The given object is not a cube because cube is a box-shaped solid object that has six identical square faces. But here, the given figure does not have the identical faces.

B. Polygon: The given object is not a polygon because a polygon is any 2-dimensional shape formed with line segments. But here, the given figure is not 2-dimensional.

C. Polyhedron: The given object is a polyhedron because a polyhedron is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices. Therefore, it is a polyhedron.

D. Prism: The given object is a prism because a prism is a polyhedron consisting of two parallel, congruent faces called bases. This is called a rectangular prism because a Prism with rectangular bases is a Rectangular Prism.

E. Pyramid: The given object is not a pyramid because a pyramid is a 3-dimensional shape whose base is a polygon. Each corner of a polygon is attached to a singular apex, which gives the pyramid its distinctive shape. Each base edge and the apex form a triangle. The given object does not appears like this.

So, the given object is Polyhedron and Prism(rectangular).

4 0
3 years ago
Read 2 more answers
Common denominator of 17/20
alexdok [17]
The lowest common denominator is 340.
6 0
3 years ago
Read 2 more answers
At the taco truck an order of 1 taco and 3 quesadillas cost $ 26.50. An order if 3 tacos and 1 quesadilla cost $19.50. for 5 tac
gladu [14]

Answer:

The cost of 1 taco = $4

The cost of 1 quesadilla = $7.50

Step-by-step explanation:

Let the cost of tacos be x and the cost of quesadillas be y.

<h3><u>Given condition:</u></h3>

x + 3y = 26.50 ------------------(1)

3x + y = 19.50 -------------------(2)

Multiply Eq. (2) by 3

3(3x + y) = 19.50 * 3

9x + 3y = 58.5 -----------------(3)

Subtract Eq. (3) from (1)

x + 3y - 9x - 3y = 26.50 - 58.50

x - 9x = -32

-8x = -32

8x = 32

Divide 8 to both sides

x = $4

Put x = 4 in (1)

4 + 3y = 26.50

Subtract 4 to both sides

3y = 26.50 - 4

3y = 22.50

Divide 3 to both sides

y = $7.50

So,

The cost of 1 taco = $4

The cost of 1 quesadilla = $7.50

\rule[225]{225}{2}

6 0
2 years ago
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