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3 years ago

10

a triangle includes one angle that measures 72 degrees. which pair could be the measures of the other two angles of the triangle

?

1 answer:

Otrada [13]3 years ago

7 0

Answer:

72,72,36

Step-by-step explanation:

You might be interested in

Which equation describes a linear function

yarga [219]

Answer:

This may be y=mx+b

8 0

3 years ago

The given two-parameter family is a solution of the indicated differential equation on the interval

mr_godi [17]

Answer:

I do 1 option for you as an example, you need to check the leftover by yourself.

Step-by-step explanation:

for d) y(0) = 0 and y'(pi) =0

$y(0) = C_1e^0cos(0)+ C_2 e^0 sin(0) = 0 \longrightarrow C_1 = 0$

$y(x) ' = C_1e^x cos(x) - C_1e^x sin (x) + C_2e^x sin(x) + C_2e^x cos(x)$

$y(\pi)'=C_1e^\pi cos(\pi)- C_1e^\pi sin(\pi)+ C_2e^\pi sin(\pi) + C_2e^\pi cos (\pi)$

Replace $C_1 = 0$ we have

$y'(\pi) = -C_2e^\pi = 0$

if and only if $C_2 =0$

Hence the given solution does not work.

then, d is NOT the correct answer.

3 0

3 years ago

Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have

sergey [27]

The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: <u><em>dimes, nickels, pennies, and quarters.</em></u>

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

<em>1 nickel = $0.05</em>

<em>1 quarter = $0.25</em>

<em />

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

To learn more, visit the link below:

brainly.com/question/13312288

8 0

3 years ago

Factorise: 5(2^n)+2^n+2

marin [14]

Answer:

2 ( n + 2 ) ( n + 1 2 )

Step-by-step explanation:

coefficient of the first term:

2 = 2 × 1

coefficient of the last term:

2 = 2 × 1

coefficient of the middle term (using only the factors above):

5 = 2 × 2 + 1 × 1

2 n 2 + 5 n + 2 = ( 2 n + 1 ) ( n + 2 )

Alternative method:

Treat the given expression as a quadratic set equal to zero, with the form

a n 2 + b n + c

and use the quadratic formula

− b ± √ b 2 − 4 a c 2 a

This will given solutions

n = − 2 and n = − 1 2

for a factoring

2 ( n + 2 ) ( n + 1 2 )

Hope this helped

3 0

3 years ago

#9 and #10<br> Please show work

Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

$y=2x+3$ ----> equation A

$x=y-8$ ----> equation B

Solve by substitution

Substitute equation A in equation B

$x=(2x+3)-8$

solve for x

$x=2x-5$

$2x-x=5$

$x=5$

Find the value of y

$y=2(5)+3=13$

therefore

The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

$x=5y-1$ ----> equation A

Remember that

$1\ ft=12\ in$

To convert inches to feet divide by 12

so

$60\ in=60/12=5\ ft$

$x+y=5$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$(5y-1)+y=5$

solve for y

$5y+y=5+1$

$6y=6$

$y=1\ ft$

Find the value of x

$x=5(1)-1=4\ ft$

therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

3 0

3 years ago