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ipn [44]
3 years ago
15

Calculate the value of x to one decimal place. a0inches

Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0

Answer:

Step-by-step eNow examine the right triangle on the left in the figure.

x%2F10=sin%2850%29, in reference to the 50 degree angle, hypotenuse is that slanted segment of 10 units, and "x" is the opposite side from the 50 degree angle.

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A 16 ounce bag of cereal cost $2.88 what is the cost per ounce
BabaBlast [244]

Answer: 0.18 (18 cents) per ounce

Step-by-step explanation:

2.88/16 = 0.18

5 0
2 years ago
The measures of the base angles of an isosceles triangle are 3x 5 and 5x - 25. The measure of the vertex angle is 6x - 10. Find
lukranit [14]

Answer: The measure of the vertex angle = 80°

Step-by-step explanation:

Angle sum property of triangle : The sum of the measures of the angles for any triangle is 180 degrees.

So,

3x+ 5 + 5x-25+6x-10= 180\\\\\Rightarrow\ 14x-30=180\\\\\Rightarrow\ 14x= 210\\\\\Rightarrow x=\dfrac{210}{14}=15'

Then, vertex angle = 6(15)-10=90-10= 80

Hence, The measure of the vertex angle = 80°

5 0
2 years ago
given examples of relations that have the following properties 1) relexive in some set A and symmetric but not transitive 2) equ
rodikova [14]

Answer: 1) R = {(a, a), (а,b), (b, a), (b, b), (с, с), (b, с), (с, b)}.

It is clearly not transitive since (a, b) ∈ R and (b, c) ∈ R whilst (a, c) ¢ R. On the other hand, it is reflexive since (x, x) ∈ R for all cases of x: x = a, x = b, and x = c. Likewise, it is symmetric since (а, b) ∈ R and (b, а) ∈ R and (b, с) ∈ R and (c, b) ∈ R.

2) Let S=Z and define R = {(x,y) |x and y have the same parity}

i.e., x and y are either both even or both odd.

The parity relation is an equivalence relation.

a. For any x ∈ Z, x has the same parity as itself, so (x,x) ∈ R.

b. If (x,y) ∈ R, x and y have the same parity, so (y,x) ∈ R.

c. If (x.y) ∈ R, and (y,z) ∈ R, then x and z have the same parity as y, so they have the same parity as each other (if y is odd, both x and z are odd; if y is even, both x and z are even), thus (x,z)∈ R.

3) A reflexive relation is a serial relation but the converse is not true. So, for number 3, a relation that is reflexive but not transitive would also be serial but not transitive, so the relation provided in (1) satisfies this condition.

Step-by-step explanation:

1) By definition,

a) R, a relation in a set X, is reflexive if and only if ∀x∈X, xRx ---> xRx.

That is, x works at the same place of x.

b) R is symmetric if and only if ∀x,y ∈ X, xRy ---> yRx

That is if x works at the same place y, then y works at the same place for x.

c) R is transitive if and only if ∀x,y,z ∈ X, xRy∧yRz ---> xRz

That is, if x works at the same place for y and y works at the same place for z, then x works at the same place for z.

2) An equivalence relation on a set S, is a relation on S which is reflexive, symmetric and transitive.

3) A reflexive relation is a serial relation but the converse is not true. So, for number 3, a relation that is reflexive but not transitive would also be serial and not transitive.

QED!

6 0
3 years ago
The Organic Cafe recently served 9 cinnamon rolls and 9 other pastries. Considering this data, how many of the next 14 pastries
VladimirAG [237]

Answer

idk maybe 5 is the flvs?

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP NEED ANSWER NOW!!!!<br> what is the graph of this function?
Shtirlitz [24]
Its the purple graph that looks like a upside down V because all the values are negative due to the "-" being outside the absolute value symbols.

you can also graph it as y=-|x|
3 0
3 years ago
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