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3 years ago

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There are infinite numbers of rational number between any 2 rational numbers which one of the following lies between 20/30 and 4

0/50?
A. 3/5 b. 11/15 c. 41/30 d. 14/15

1 answer:

miv72 [106K]3 years ago

4 0

Answer: B 11/15

Step-by-step explanation: 11/15 = 22/30> 20/30

but 11/15 = 110 /150 < 120/150 = 30/50

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PLEASE HELP IS THIS RIGHT??????????AND EXPLAIN PLZZ

Anit [1.1K]

Add like terms

-4x+x=-3x
6-2=4

So the simplified term is 4-3x

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3 years ago

I need help please and thank you

gayaneshka [121]

What’s the question?

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3 years ago

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Determine which set of numbers can be the measures of the sides of a triangle.

klemol [59]

Answer:

a) 13, 10, 16

Step-by-step explanation:

The usual form of the triangle inequality requires the sum of the two shortest sides exceed the longest side (a+b>c). The only choice for which this is true is ...

10 + 13 > 16 . . . . choice A

_____

<em>Comment on the triangle inequality</em>

Some authors also allow the sum to equal the longest side (a+b≥c). In that case, choice B (1+2=3) is also an answer. This "triangle" would look like a line segment of length 3. It has zero area.

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3 years ago

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20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

7 0

1 year ago

Which ordered pair is a solution to the system of equations? Use any method to solve. 4x-y=5, x+y=10

fomenos

Answer:

The ordered pair ( 5, 15) is a solution to the system of given equations.

Step-by-step explanation:

Consider the given equations,

4x-y=5 .......(1)

x+y=10 .......(2)

We have to find the ordered pair which is a solution to the system of given equations.

We solve the system by elimination method,

Adding both equation , to eliminate y ,

⇒ 4x - y +( x+y ) = 5+ 10

⇒ 4x - y + x + y = 15

⇒ 5x = 15

⇒ x = 5

Put x = 5 in equation (1) , and solve for y,

We get,

4x - y = 5 ⇒ 4(5) - y = 5 ⇒ y = 20 - 5 ⇒ y = 15

Thus, the ordered pair ( 5, 15) is a solution to the system of given equations.

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3 years ago

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