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3 years ago

7

What is the area of this figure?

1 answer:

enot [183]3 years ago

5 0

There are 23 square green blocks in the figure, and the note up in the corner
shows us that each square has (1 inch x 1 inch) = 1 square inch of area.

You ought to be able to handle it from here.

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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

(5x² – 8x + 1) + (2x² - 4x – 11)

djverab [1.8K]

Answer:

7x²-12x-10

Step-by-step explanation:

(5x²-8x+1) + (2x²-4x-11)

combine like terms

7x²-12x-10

7 0

3 years ago

Find the value of y. *<br> (8x - 7)<br> (3x - 11)<br> (2y +23) (3z2-5)<br> (4y + 8)

quester [9]

Answer:

66 6 I am not your friend 6

Step-by-step explanation:

7 0

3 years ago

For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential fun

Burka [1]

Answer:

1,2 and 4 are conservatives

3 is not conservative

Step-by-step explanation:

We calculate the Curl F

Remember that:

Curl F = < $\frac{dFz}{dy} - \frac{dFy}{dz}, \frac{dFz}{dx} - \frac{dFx}{dz}, \frac{dFy}{dx} - \frac{dFx}{dy}$ >

1. Curl F = <0,0,5-5> = <0,0,0>

The potential function f so that ∇f=F

f(x,y,z) = $-3x^{2} +5xy + 5y^{2}$

Then F is conservative

2. Curl F = < 0, 0 ,0>

The potential function f so that ∇f=F

f(x,y,z) = $-3/2x^{2} -y^{2}+z$

Then F is conservative

3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>

= <0 ,0 , 10 +3xsin(y) + cos(y)<

How the field's divergence is not zero the vector field is not conservative

4. Curl F = <0, 0, 0>

The potential function f so that ∇f=F

f(x,y,z) = $x^{3}+(5/3)y^{3}+(5/3)z^{3}$

Then F is conservative

5 0

3 years ago

Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/d400e5c3acee453f3779cad4a83f3cb3?ut

saw5 [17]

Answer:

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Step-by-step explanation:

5 0

3 years ago

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