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Anastasy [175]
3 years ago
12

Simplify the equation

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0

The answer is 50. First, you need to multiply 34.6 by 34.6, and multiply 15.4 by 15.4, and subtract the products which gives you 960. Next you subtract 15.4 from 34.6, giving you 19.2. Lastly, you divide 19.2 into 960 and you get 50.

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Find the area of this irregular polygon.
Rainbow [258]

Answer:

970m^{2}

Step-by-step explanation:

This polygon can be divided in two figures: one is a triangle, an the other one is a square.

We'll begin calculating the triangle's area, using the following formula:

At= \frac{b.h}{2}

Where:

H= height = 30 m

B = 9 m + 9 m + 20 m = 38 m

As you can see, I added both sides of the triangle that measure 9 m and also the lenght of the square that measures 20 m! This added up is what the base of the triangle measures on total.

At= \frac{38 m .30 m}{2}

At= \frac{1140 m^{2} }{2}

At= 570 m^{2}

Now we are going to calculate the square's area, that is much more simple:

As= L^{2}

Where:

L=20 m

As= (20 m)^{2} = 400m^{2}

To know the whole figure's area, we add up both areas:

A = At+As = 570m^{2} +400m^{2}=970m^{2}

3 0
3 years ago
how many 1 1/2 centimeter cubes can fit into a rectangular prism that has a length of 12 centimeters , a width of 6 centimeters
VLD [36.1K]

The long, straightforward, brute-force way to slog through the problem:

The prism is 12cm x 6cm x 9cm.

Volume of the prism = (12 x 6 x 9) = 648 cm³

Volume of each little cube = (1.5 x 1.5 x 1.5) = 3/375 cm³

Number of little cubes that fit into the prism =  (648 cm³) / (3.375 cm³) = <em>

                                                                                     192 of them</em>


=============================================

The elegant but almost equally long way to master the problem:

The prism is 12cm x 6cm x 9cm.

If each dimension of your measuring cubie is 1.5cm,
then the prism measures

     (8 cubie lengths) x (4 cubie widths) x (6 cubie heights) .

Its volume is  (8 x 4 x 6) = <em>192 measuring cubies</em>.


8 0
3 years ago
Find the sum 130 cm and 55mm in meters.
mixas84 [53]
1.355 meters. hope that helped
3 0
3 years ago
Read 2 more answers
Y decreased by 25 =10
KonstantinChe [14]
Written in standard form, y decreased by 25 = 10 is y - 25 = 10

Now let's solve:

y - 25 = 10
y = 10 + 25
y = 35

to check:

35 - 25 = 10 

so, y equals 35
8 0
3 years ago
Read 2 more answers
Solve the quadratic equation 27y^2-314y+699​
Burka [1]

Answer:

3; \frac{233}{27}.

Step-by-step explanation:

1) to calculate the discriminant of the given equation:

D=(314/2)²-699*27=5776.

2) to calculate the roots of the given equation:

\left[\begin{array}{ccc}y=\frac{157-\sqrt{5776} }{27} \\ y=\frac{157+\sqrt{5776} }{27} \end{array}

\ \left[\begin{array}{ccc}y=3\\y=\frac{233}{27} \end{array}

3 0
3 years ago
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