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cupoosta [38]
2 years ago
8

The roots of

smiddle" class="latex-formula"> are sin a and cos a for some real value of a. Compute k.
Mathematics
1 answer:
Dafna11 [192]2 years ago
7 0

Answer:

10

Step-by-step explanation:

10x²-14x+k = 0

x1 = sin a

x2= cos a

x1+x2 ≤ 2

x1. x2 ≤ 1 => k/10 ≤ 1

k ≤ 10

so the value of k should be 10

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Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and
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b + p = 14 and 0.80 b + 2 p = 20.80 are the system of equations.

Step-by-step explanation:

Step 1 :

Let b be the number of bananas

Let p be the number of peaches  

Given that the total of bananas and peaches that Emily bought  = 14

Hence we have,

b + p = 14

Step 2 :

Cost of one banana =  $0.80

Cost of one peach = $2

Cost of all the bananas and peaches Emily bought = $20.80

So sum of b bananas costing $0.80 and sum of p peaches costing $2 each is $20.80

Hence we have

0.80 b +2 p = 20.80

Solving for the above 2 equations we can get the value for b and p which will give the number of bananas and peaches bought

Step 3 :

Answer :

The system of equations that could be used to find the number of the bananas and the number of the peaches that Emily bought is given by

b + p = 14

0.80 b +2 p = 20.80

5 0
3 years ago
The end points of diameter BD in a circle form an angle with point C. what is the measure of < BCD ?
Katarina [22]

Answer:

Step-by-step explanation:

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3 0
2 years ago
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Answer please thanks
tiny-mole [99]
The area of this composite figure is 533 square inches.
The formula for a rectangle is lw, and the formula for the area of a triangle is 1/2bh. After plugging the values into these formulas, we have to add the values all together to get the final area.
3 0
3 years ago
Read 2 more answers
I WILL GIVW CROWN NEEP HELP ASAP
cricket20 [7]

Answer:

C. between 5 and 6 days

Step-by-step explanation:

divide 1611 by 305 and the answer is 5.28196721311. meaning it will take a little over 5 days to get to wherever he is going.

4 0
2 years ago
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Your coffee bar has two kinds of drink One cup of the first one costs 9 grams of juice , 4 grams of coffee and 3 grams of sugar
VMariaS [17]

Answer:

How many drinks should be sold to get a maximal profit? 468

Sales of the first one = 345 cups

Sales of the second one = 123 cups

Step-by-step explanation:

maximize 1.2F + 0.7S

where:

F = first type of drink

S = second type of drink

constraints:

sugar ⇒ 3F + 10S ≤  3000

juice ⇒ 9F + 4S ≤  3600

coffee ⇒ 4F + 5S ≤  2000

using solver the maximum profit is $500.10

and the optimal solution is 345F + 123S

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3 years ago
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