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Maksim231197 [3]
3 years ago
8

Renee is sewing a quilt whose pattern contains right triangles.

Mathematics
1 answer:
Mashutka [201]3 years ago
7 0

Answer:

  8 inches

Step-by-step explanation:

The area of a triangle is ...

  A = 1/2bh

Filling in the given values, we have ...

  24 = 1/2b(6)

  24/3 = b = 8 . . . . . divide by the coefficient of b

The base of each triangular quilt piece is 8 inches long.

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Evaluate the following expression.
sergejj [24]

Answer:

22.5

Step-by-step explanation:

7 1/4 × 2

=29

29+81/2

=69.5

69.5 - 2

=67.5

67.5÷3

=22.5

8 0
3 years ago
Solve the simultaneous equations 5x+4y = 1 and 3x - 6 y = 2.
hjlf

x=31​,y=−61​

Put the equations in standard form and then use matrices to solve the system of equations.

5x+4y=1,3x−6y=2

Write the equations in matrix form.

(53​4−6​)(xy​)=(12​)

Left multiply the equation by the inverse matrix of (53​4−6​).

inverse((53​4−6​))(53​4−6​)(xy​)=inverse((53​4−6​))(12​)

The product of a matrix and its inverse is the identity matrix.

(10​01​)(xy​)=inverse((53​4−6​))(12​)

Multiply the matrices on the left hand side of the equal sign.

(xy​)=inverse((53​4−6​))(12​)

For the 2×2 matrix (ac​bd​), the inverse matrix is (ad−bcd​ad−bc−c​​ad−bc−b​ad−bca​​), so the matrix equation can be rewritten as a matrix multiplication problem.

(xy​)=(5(−6)−4×3−6​−5(−6)−4×33​​−5(−6)−4×34​5(−6)−4×35​​)(12​)

Do the arithmetic.

(xy​)=(71​141​​212​−425​​)(12​)

Multiply the matrices.

(xy​)=(71​+212​×2141​−425​×2​)

Do the arithmetic.

(xy​)=(31​−61​​)

Extract the matrix elements x and y.

x=31​,y=−61​

5 0
3 years ago
Read 2 more answers
Find the a26 arithmetic sequence: -15,-35,-55,-75<br> -515 <br> 460 <br> -490
Vlad [161]

Step-by-step explanation:

<h3><u>QU</u><u>ESTION</u><u>:</u><u>-</u></h3>

<u>Fin</u>d 26th term of the A.P --15,-35,-55,-75...

<h3><u>Solu</u><u>tion</u><u>:</u><u>-</u></h3>

First term=a=-15

Common Difference=d=-20

We know that

\boxed{\sf a_n=a+(n-1)d}

\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(26-1)(-20)

\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+25(-20)

\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(-500)

\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15-500

\\ \:\:\:\:\sf {:}\dashrightarrow {\boxed{\bf a_{26}=-515}}

6 0
3 years ago
The cost of C (in dollars) of making n watches is represented by C=15n+85. How many watches are made when the cost is $385?
hichkok12 [17]

well...

15 x 20 = 300

300+85 = 385


you can get 20 watches for $385


4 0
3 years ago
0.7 mm to centimeters
san4es73 [151]

Answer: 0.07 centimeters

Step-by-step explanation: 0.7millimeters equals 0.07 centimeters

8 0
3 years ago
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