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2 years ago

Solve for x to the nearest degree.

Mathematics

1 answer:

VikaD [51]2 years ago

5 0

Answer:

Using Pythagoras Theorem, squareroot 15^2 - 5^2.

After you found the opposite length, use the cosine rule to find angle x.

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If u times 23 by 10 shouldn't u get 230 but my teacher says that's not it u have to did everything but I don't know what to did

cricket20 [7]

It is 230 I just clculated

4 0

2 years ago

Read 2 more answers

The new post office has an area that is 6.5 times the area of the old post office. Let p represent the area of the old post offi

IrinaK [193]

Answer:

$Area = 6.5p$

Step-by-step explanation:

Given

$Area\ of\ Old = p$

$Area\ of\ New = 6.5 * Area\ of\ Old$

Required

Write an expression for the area of new post office

From the question, we have the following:

$Area\ of\ Old = p$

and

$Area\ of\ New = 6.5 * Area\ of\ Old$

Substitute p for Area of Old in the second equation

$Area\ of\ New = 6.5 * p$

$Area\ of\ New = 6.5 p$

Hence, the expression is:

$Area = 6.5p$

5 0

2 years ago

natima [27]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.

The store keeps an inventory of 80 shovels, then

x+y+z=80

The store always buy twice as many spade shovels as square, so

x=2z

The total cost of all shovels is

16x+9.60y+12.80z=1,072

a) The system of three equations is

$\left\{\begin{array}{l}x+y+z=80\\ \\x=2z\\ \\16x+9.60y+12.80z=1,072\end{array}\right.$

b) In matrix form this is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}80\\0\\1,072\end{array}\right)$

c) The determinant is

$\left\|\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right\|=0-32+9.60-0+19.20-12.80=-16$

d) Find three determinants:

$\left\|\begin{array}{ccc}80&1&1\\ 0&0&-2\\ 1,072&9.60&12.80\end{array}\right\|=0-2,144+0-0+1,536-0=-608$

$\left\|\begin{array}{ccc}1&80&1\\ 1&0&-2\\ 16&1,072&12.80\end{array}\right\|=0-2,560+1,072-0+2,144-1,024=-368$

$\left\|\begin{array}{ccc}1&1&80\\ 1&0&0\\ 16&9.60&1,072\end{array}\right\|=0+0+768-0-0-1,072=-304$

So,

$x=\dfrac{-608}{-16}=38\\ \\y=\dfrac{-368}{-16}=23\\ \\z=\dfrac{-304}{-16}=19$

e) If the store doubled all prices and inventory, then the new matrix is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 32&19.20&25.60\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}160\\0\\2,144\end{array}\right)$

7 0

2 years ago

The radius of a circular rug is 4 feet. How much ribbing will you need to buy to go around the rug? Use 3 for Ñ

d1i1m1o1n [39]

Answer:

24ft

Step-by-step explanation:

So you need to find the circumfrnce and I am 3 for pi

so 3(4)2=24ft

3 0

2 years ago

How do percents show the relationship between quantities?

Bingel [31]

A percent is just that number over hundred, so if it was 20%, it would be 20/100. That could be termed to differentiate the quantity amounts

6 0

2 years ago