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lara [203]
4 years ago
8

Suppose that you have 10 cards. 4 are green and 6 are yellow. The 4 green cards are numbered 1, 2, 3, and 4. The 6 yellow cards

are numbered 1, 2, 3, 4, 5, and 6. The cards are well shuffled. You randomly draw one card. list sample space
Mathematics
1 answer:
anygoal [31]4 years ago
4 0
I think it will be 6
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T is the midpoint of SU. Find ST, TU and SU. <br><br><br> 10x-14 5x+16<br><br>S———T———U
jeka94

since T is the midpoint of SU, then ST = TU.

\bf \stackrel{10x-14}{\boxed{S}\rule[0.35em]{10em}{0.25pt}} T\stackrel{5x+16}{\rule[0.35em]{10em}{0.25pt}\boxed{U}} \\\\\\ \stackrel{ST}{10x-14}=\stackrel{TU}{5x+16}\implies 5x-14=16\implies 5x=30\implies x=\cfrac{30}{5}\implies x=6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ST}{10(6)-14\implies 46}~\hfill \stackrel{TU}{TU=ST=46}~\hfill \stackrel{SU}{ST+TU=92}

6 0
3 years ago
A carpenter is creating a circular wooden table with a radius of 4 feet and needs to know the area of the table to purchase the
JulijaS [17]

Answer: The area of the circular wooden table = 50.24 ft²

Step-by-step explanation:

Given: The radius of the circular table = 4 feet

We know that area of a circle is given by :-

\text{Area}=\pi r^2

Therefore, the area of circular wooden table is given by :-

\text{Area}=3.14(4)^2\\\Rightarrow\ 3.14\times16\\\Rightarrow\text{Area=}50.24\ ft^2

The area of the circular wooden table = 50.24 ft²

3 0
3 years ago
Read 2 more answers
A team has P points.
Llana [10]
Sub in the values and solve for W
50=3W+14
50-14=3W
36=3W
12=W
The team won 12 games.
12+14=26 (games drawn and won)
35-26=9
Therefore they lost 9 games
3 0
4 years ago
Read 2 more answers
At the store, a frozen turkey costs $0.99
Nana76 [90]

Answer:frozen turkey is $11.00 fresh is $20.28 cents

Step-by-step explanation:

so $8.40 cents

4 0
3 years ago
Solve using identities [0,2) cos2x=sinx
bekas [8.4K]
We have:

\cos 2x = 1 - 2 \sin^2 x

Thus:

1 - 2 \sin^2 x = \sin x

Adding 2 \sin^2 x - 1 gives:

2 \sin^2 x + \sin x - 1 = 0

Factoring gives:

(2 \sin x + 1)(\sin x - 1) = 0

Thus, we have:

\sin x = \frac{-1}{2}

or

\sin x = 1.

Note that because 2 \pi > 2, there will be no solutions y of the form 2n\pi + z for positive integer n and solution z.  So we find the basic values of x giving \sin x \in (\frac{-1}{2}, 1).

For \sin x = \frac{-1}{2} with positive x, x > \pi > 2 (this can be seen easily from the unit circle.  But x < 2, a contradiction.  So we examine the case in which \sin x = 1.

In this case, x = \frac{\pi}{2}.  So this is the only solution to this equation.

Substituting this back in, we have \sin \frac{\pi}{2} = \cos \pi = 1, as desired.  So this is a valid solution.

Thus, x = \frac{\pi}{2}.
7 0
3 years ago
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