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4 years ago

I have a figure . It has a base of 4 feet width is 4 feet and length of 12 feet what is the area

Mathematics

1 answer:

EleoNora [17]4 years ago

6 0

The area is 48 feet.

4×12=48 feet

You don't need base to find area

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Last year, Raina had $10,000 to invest. She invested some of it in an account that paid 9% simple interest per year, and she inv

kaheart [24]

Answer:

7000 in the account that paid 9% interest rate and 3000 in the account that paid 8% interest rate

Step-by-step explanation:

Let $x be invested in account 1 and $(10000-x) in the second account

Then, 870=x*9/100+(10000-x)*8/100

x=$7,000.

4 0

3 years ago

Sophie went to the lake with her family. First, they spent 1 1/4 hours of fishing. Then, they spent twice as much time swimming.

Cloud [144]

Overall, they spent 3 3/4 hours fishing and swimming.

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3 years ago

Teresa bought 3boxes of chocolate each box has 9 pieces of chocolate inside teresa gave away 15 pieces of chocolate how many pie

lora16 [44]

Hey There!

3×9=27
27-15=12
Teresa has 12 pieces of Chocolate left

Hope This Helps!!!!

4 0

3 years ago

Read 2 more answers

The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge

Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

$5x+4y+5z=-1$

$x+y+2z=1$

$2x+y-z=-3$

Firs we find determinant of system of equations

Let a matrix A= $\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right]$ and B= $\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]$

$\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}$

$\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0$

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply $R_1\rightarrow R_1-4R_2$ and $R_3\rightarrow R_3-2R_2$

$\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]$

Apply $R_2\rightarrow R_2-R_1$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]$

Apply $R_3\rightarrow R_3+R_2$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]$

Apply $R_3\rightarrow- \frac{1}{2}$ and $R_2\rightarrow R_2-R_3$

$\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Apply $R_1\rightarrow R_1-R_3$

$\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

4 0

4 years ago

Rewrite the equation y – 4x = –9 in slope-intercept form. simple explanation and proof

dusya [7]

Answer:

y=4x-9

Step-by-step explanation:

add 4x to both sides to isolate y

4 0

3 years ago

Read 2 more answers