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olga55 [171]
2 years ago
12

Gail, Lucas, and Joel are playing a number game where they must draw a card with a number on it. Then they compare the numbers o

n the cards. Gail's, Lucas's, and Joel's cards are shown.
Lucas says that the value of the digit 9 in his number is 10 times greater than the value of the digit 9 in Gail's number. Is Lucas's statement correct?
Mathematics
2 answers:
jekas [21]2 years ago
4 0
90 Hope it helps_____
Verdich [7]2 years ago
3 0

Answer:

90

Step-by-step explanation:

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If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?
makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

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(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

6 0
2 years ago
Read 2 more answers
A rectangle. one side is 2x + 7 and the other is x+3
saveliy_v [14]

\large{\green}\fcolorbox{purple}{pink}{\bf{\underline{\red{\color{red}Answer}}}}

6x + 20

Step-by-step explanation:

  • <u>To</u><u> </u><u>find</u><u> </u><u>:</u><u>-</u>

Perimeter of rectangle

  • <u>Given</u><u> </u><u>:</u><u>-</u>

Length = 2x + 7

Breadth/width = x + 3

  • <u>Solution</u><u> </u><u>:</u><u>-</u>

<em>We</em><em> </em><em>know</em><em> </em><em>that</em>

<em>\mathfrak {perimeter \: of \: rectangle =2(length + breadth) }</em>

<em>Now</em><em> </em><em>we</em><em> </em><em>will</em><em> </em><em>substitute</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>length</em><em> </em><em>and</em><em> </em><em>breadth</em>

<em>\sf  \longmapsto perimeter = 2 \{(2x + 7) + (x + 3) \} \\  \\  \\  \sf \longmapsto perimeter = 2 \{3x + 10 \} \\  \\  \\  \sf  \longmapsto perimeter = 6x + 20</em>

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1 year ago
What is the domain of the function y=\sqrt{x}
DedPeter [7]

Answer: C (third choice)

Step-by-step explanation:

Square roots cannot hold negative x values as it will create an imaginary number.

Therefore the starting value of x must be starting at 0 and then moving to infinity

4 0
2 years ago
I need help on #10 &amp; #11 (isolate x)
just olya [345]

10. x=y/6+1 11. x=-2g+r/2

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3 years ago
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A circle of having an area of 144 π sq.cm, is cut into two segments by a chord that is 6cm from the center of the circle.What is
stepan [7]

the area would be 43

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