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True [87]
3 years ago
13

In the rhombus m 1=18x m 2=x+y and m 3=30z. Find the value of x+y+z

Mathematics
1 answer:
ra1l [238]3 years ago
6 0
A Rhombus has four equal straight sides. We can assume that the rhombus in this problem is square-shaped with 90° angles.

m1 = 18x ; 90 = 18x ; 90/18 = x ; 5 = x
m2 = x + y ; 90 = 5 + y ; 90 - 5 = y ; 85 = y
m3 = 30z ; 90 = 30z ; 90/30 = z ; 3 = z

x = 5 ; y = 85 ; z = 3

x + y + z ⇒ 5 + 85 + 3 = 93
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Firdavs [7]

Answer:

18.75 ft

Step-by-step explanation:

The given scenario can be drawn as shown in the following attachment.

Given that,

m\angle DCE=\angle ACB and m\angle DEC=\angle ABC=90^{\circ}

Therefore, \Delta ABC\sim \Delta DEC

\Rightarrow \dfrac{AB}{DE}=\dfrac{BC}{EC}

\Rightarrow \dfrac{AB}{5}=\dfrac{15}{4}

\Rightarrow AB=\dfrac{15\times 5}{4}=18.75 ft

AB is the height of the house.

7 0
3 years ago
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Please answer this correctly
Eva8 [605]

Answer:

Surface Area is 56π cm²

Step-by-step explanation:

The area for a cylinder's surface area is

a=2πrh+2πr²

The cylinder base's radius is 4 cm

The cylinder's height is 3 cm

Putting into the equation:

a=2×π×4×3+2×π×4²

a=2π×4×3+2×π×4²

a=8π×3+2×π×4²

a=24π+2×π×4²

a=24π+2×π×16

a=24π+2π×16

a=24π+32π

a=56π

The surface area of the cylinder is 56π cm².

5 0
3 years ago
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RideAnS [48]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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snow_tiger [21]

Answer:

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Sum of polynomials are always polynomials.

Note that despite it's name, single constants, monomials, binomials, trinomials, and expressions with more than three terms are all polynomials.
For example,
0, π sqrt(2)x, 4x+2, x^2+3x+4, x^2-x^2, x^5+x/ π -1
are all polynomials.

What makes an expression NOT a polynomial?
Expressions that contain non-integer or negative powers of variables, rational functions, infinite series.
For example,
sqrt(x+1), 1/x+4, 1+x+ x^2/2!+x^3/3!+x^4/4!+...., (5x+3)/(6x+7)
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8 0
3 years ago
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