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a_sh-v [17]
3 years ago
11

A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the f

ield?
Mathematics
1 answer:
kirill [66]3 years ago
8 0
Well for a rectangle, the area

A=Length x Width,
1764<span>=Length x Width,

Since </span><span>the width of the field is 13 m more than the length, the length will be equal to the with + 13, 
L=W+13,

</span>1764<span>=LW
</span>1764=(W+13)(W)
W=36 meters

They want the perimeters, so add them up

2W+2L
=2(36)+2(49)
=170 meters
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In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.
Bogdan [553]

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

j = \sqrt{99.45}

j = 9.97

∴

\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}

{9.97 \times    Sin (L ) = (2.7 \times Sin \ 43)

=  Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ =  Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 }  \\ \\  = Sin \ L = 0.18466 \\ \\  L = Sin^{-1} (0.18466) \\ \\  L = 10.64 ^0

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=4%5Cleft%289x%2B5%5Cright%29%3D-32%2B6x" id="TexFormula1" title="4\left(9x+5\right)=-32+6x" al
lara [203]

Step-by-step explanation:

This is the answer for your question.

4 0
3 years ago
Read 2 more answers
Please help me out with this
Naily [24]

Answer:

y = -3x - 2

Step-by-step explanation:

Equation of a line passing through (x_1,y_1) and slope m is,

y-y_1=m(x-x_1)

Slope of a line passing through (x_1,y_1) and (x_2,y_2) is,

Slope = \frac{y_2-y_1}{x_2-x_1}

Slope of the line passing through (0, -2) and (1, -5) will be,

Slope = \frac{-2+5}{0-1}

m = - 3

Therefore, equation of the line passing through (0, -2) and slope = -3 will be,

y + 2 = -3(x - 0)

y + 2 = -3x

y = -3x - 2

8 0
3 years ago
Which transformation will occur if f(x)=x is replaced with f(x) +5
zimovet [89]

Answer:

Parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.

Step-by-step explanation:

<u>Vertical translation of f(x) is of the form</u>

f(x)+k

It means if the constant 'k' is added in the output, the parent graph vertically shifted 'k' units up.

Given

f(x)=x

Replacing the parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.

Please also check the attached diagram.

  • The red graph shows the parent function i.e. f(x)=x
  • The blue graph shows the transformed function i.e. f(x)+5

The blue graph is the result of the vertically shifting of the parent function by 5 units up.

Hence, parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.

7 0
3 years ago
PLEASE HELP. WILL GIVE BRAINLIEST !! Find the cross product &lt;-1, -3, -8&gt; x &lt;7,4, -5&gt;. Is the resulting vector perpen
juin [17]

Answer:

Answer:

The cross product is 47 i - 61 j + 17 k.

Step-by-step explanation:

Given that-

a = < -1, -3, -8 > , b = < 7, 4, -5 >

The cross product is

a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤

        = i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )

        = i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )

        = i ( 47) - j (61 ) + k (17)

        = 47 i -61 j + 17 k

As we know that if two vectors A & B are perpendicular then

A . B = 0

So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .

Step-by-step explanation:

47, -61, 71>; yes

5 0
2 years ago
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