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vovikov84 [41]
2 years ago
15

The following polygons are similar. Find x

Mathematics
1 answer:
Ray Of Light [21]2 years ago
5 0

is 750.000 is your answer.

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A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim
raketka [301]

Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

12\times 17\\\\=204\ sq.\ foot

As we know that 1 foot = 12 inch

So, Area of floor would be

204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot

Dimension of brick tiles is given by

3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}

So, Area of brick tiles is given by

2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}

So, Number of clay brick would be

29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442

cost of each clay brick = $0.72

So, Total cost of flooring would be

442\times 0.72\\\\=\$318.24

Hence, The cost to tile the floor is $318.24.

7 0
3 years ago
10(2^×) + 7(3^×) = 6^× + 70​
Mkey [24]

Answer:

x = 2.81 and 2.096

Step-by-step explanation:

Given the expression

10(2^x) + 7(3^x) = 6^x + 70​

This can also be expressed as;

10(2^x) + 7(3^x) = (2*3)^x + 70

10(2^x) + 7(3^x) = 2^x*3^x + 70

Let a  = 2^x and b = 3^x

10a + 7b = ab + 70

10a + 7b - ab = 70

10a-ab + 7b - 70 = 0

a(10-b)+7(b-10) = 0

a(10-b)-7(10-b) = 0

a-7 = 0 and 10-b = 0

a = 7 and b = 10

Since a = 2^x

7 = 2^x

log 7 = log2^x

log7 = xlog2

x = log7/log2

x = 2.81

Similarly

10 = 3^x

log 10 = log 3^x

log 10 = xlog3

x = log 10/log 3

x = 1/0.4771

x = 2.096

Hence the values of x that satisfies the equation are 2.81 and 2.096

8 0
2 years ago
The bases of the trapezoid are 6 and 10. The height is 4. Find the area.
kari74 [83]
<h2>Answer:</h2>

b. \ \boxed{32 \sq. \ units}

<h2>Step-by-step explanation:</h2>

A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely, b_{1}\,and\,b_{2}. Also, the height H of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of b_{1},b_{2}\:and\:H is:

A=\frac{(b_{1}\text{+}b_{2})h}{2}

Since:

b_{1}=6, \ b_{2}=10, \ and \ H=4

The area is:

A=\frac{(6\text{+}10)4}{2}=\boxed{32 \sq. \ units}

6 0
3 years ago
Following world war 1 the allies
Zanzabum
Made the treaty of versai witch put restrictions on Germany and made the pay for the destruction they caused during the war putting them in a spot were they had no money 
6 0
3 years ago
Write an equation in point-slope form of the line that passes through the point (−3,6) and has a slope of 5.
strojnjashka [21]

Answer:

Below in bold.

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1)

where m = the slope of the line and (x1, y1) is a point on the line.

Here m = 5, x1 = -3 and y1 = 6.

So we have:

y - 6 = 5( x - (-3))

y - 6 = 5(x + 3)   (Answer)

3 0
2 years ago
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