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9966 [12]
3 years ago
10

Please help really important for my grade :(

Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

Answer:

≈ 50.7 cm²

Step-by-step explanation:

The area (A) of Δ XYZ is calculated as

A = \frac{1}{2} bh ( b is the base and h the perpendicular height ), that is

A = \frac{1}{2} × XY × YZ

Calculate YZ using the tangent ratio in the right triangle

tan40° = \frac{opposite}{adjacent} = \frac{YZ}{XY} = \frac{x}{11} ( multiply both sides by 11 )

11 × tan40° = x , that is

YZ ≈ 9.23 cm

Thus

A = \frac{1}{2} × 11 × 9.23 = 5.5 × 9.23 ≈ 50.7 cm² ( to 3 significant figures )

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IgorLugansk [536]

Answer:

yes it is if we can write decimal numbers in the form of a fraction then it is a rational number

7 0
3 years ago
Solve for x: 81 ^-2 : 729 ^1-X = 9 ^2x​
34kurt

Answer:

x=0

Step-by-step explanation:

(1): "^-2" was replaced by "^(-2)".

rearrange the equation: x/81^(-2)/729^1-x-(9^2*x)=0

STEP

1

:

1.1 9 = 32

(9)2 = (32)2 = 34

Equation at the end of step

1

:

x

(—————— ÷ (7291)-x)-(34•x) = 0

(81-2)

STEP

2

:

2.1 729 = 36

(729)1 = (36)1 = 36

Equation at the end of step

2

:

x

(—————— ÷ 36 - x) - 34x = 0

(81-2)

STEP

3

:

3.1 81 = 34

(81)-2 = (34)(-2) = (3)(-8)

Equation at the end of step

3

:

x

(——————— ÷ 36 - x) - 34x = 0

(3)(-8)

STEP

4

:

1

Divide x by ——

38

Equation at the end of step

4

:

38x

(——— - x) - 34x = 0

36

STEP

5

:

38x

Simplify ———

36

Dividing exponents:

5.1 38 divided by 36 = 3(8 - 6) = 32

Equation at the end of step

5

:

(9x - x) - 34x = 0

STEP

6

:

Equation at the end of step 6

-73x = 0

STEP

7

:

Solving a Single Variable Equation:

7.1 Solve : -73x = 0

Multiply both sides of the equation by (-1) : 73x = 0

Divide both sides of the equation by 73:

x = 0

One solution was found :

x=0

3 0
3 years ago
Divide 4.5kg in the ratio 4:5
serious [3.7K]

Answer:

2 Kg and 2.5Kg.

Step-by-step explanation:

Total number of parts = 4 + 5 = 9.

So the required quantities are 4*4.5 / 9 and 5*4.5/9

= 2 and 2.5.

5 0
3 years ago
Read 2 more answers
The radius of a sphere is 7 meters what is the circle's area
Pie

★ Given :

\begin{lgathered}\bullet\:\:\textsf{Radius of circle = \textbf{7 meter}}\end{lgathered}

\rule{130}1

★ Digram :

\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{7 m}}\end{picture}

\rule{130}1

★ Solution :

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}

:\implies\sf Area\:of\:circle = \pi r^2 \\\\\\:\implies\sf Area\:of\:circle = \dfrac{22}{\cancel{7}} \times \cancel{7} \times 7\\\\\\:\implies\sf Area\:of\:circle = 22 \times 7\\\\\\:\implies\sf Area\:of\:circle = 154 m^{2}

⠀

\therefore\:\underline{\textsf{Area of circle is \textbf{154}} \:\sf{m^2}}.

\rule{170}{2}

7 0
3 years ago
What is the solution of this equation? 3a = 18
Triss [41]
3a =18

3a/3 = 18/3

a = 18/3

a = 6

Hope this helps
6 0
4 years ago
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