Find the area of the figure.
14 m
5 m
16 m

The image of the triangle is missing so i have attached it.

Answer:

ZY ≈ 391

Step-by-step explanation:

From the attached image, ∠WZY = 180 - (51 + 90) = 39°. Because ΔWYZ is a right angle triangle and sum of angle in a triangle = 180°

Now, similarly ∠XZY = 180 - (40 + 90) = 50°

Using sine rule, we can find WZ;

WZ/sin 40 = XW/sin 50

We are given XW = 600

Thus;

WZ = (600 × sin 40)/sin 50

WZ = 503.5

Now, ZY can be found using trigonometric ratios;

ZY/WZ = sin 51°

Thus;

ZY = 503.5 × sin 51

ZY ≈ 391

===============================================

Work Shown:

A = area of the rectangle

A = length*width

A = 16*17

A = 272 sq ft

B = area of triangle

B = base*height/2

B = 16*8/2    ..... note that 17-9 = 8

B = 16*4

B = 64 sq ft

C = area of shaded trapezoid

C = A - B

C = 272 - 64

C = 208 sq ft

--------------------

Alternative Method:

Apply the trapezoid area formula

b1 = 17 and b2 = 9 are the parallel bases

h = 16 is the height perpendicular to either base

A = h*(b1+b2)/2

A = 16*(17+9)/2

A = 16*(26)/2

A = 16*13

A = 208 sq ft

9514 1404 393

Answer:

  042

Step-by-step explanation:

The first clue tells you the possibilities are ...

  6__, _8_, or __2

The second clue eliminates 6__ and tells you the possibilities are ...

  18_, _81, 1_2, 48_, _42

The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.

042 is consistent with the last 2 clues.

The 3-digit key is 042.

Answer:

105

Step-by-step explanation:

(30/1000) * 3500 = 105

Answer:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

STEP

2

:

           3s2 - 2s + 1

Simplify   ————————————

            s2 - s + 2

Trying to factor by splitting the middle term

2.1     Factoring  3s2 - 2s + 1

The first term is,  3s2  its coefficient is  3 .

The middle term is,  -2s  its coefficient is  -2 .

The last term, "the constant", is  +1

Step-1 : Multiply the coefficient of the first term by the constant   3 • 1 = 3

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3    +    -1    =    -4

     -1    +    -3    =    -4

     1    +    3    =    4

     3    +    1    =    4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer:

false

Step-by-step explanation:

you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something

Answer:

12

Step-by-step explanation:

Answer:

7.94 is your answer

Step-by-step explanation:

......

Answer:

54

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = 81 ← value of y from table for x = 4

f(a) = f(3) = 27 ← value of y from table for x = 3

average rate of change = [tex]\frac{81-27}{4-3}[/tex] = 54

Answer:

ten thousands place

Step-by-step explanation:

6 tens of thousands = 60,000

5 thousands= 5,000

3 hundreds= 300

60,000

+  5,000

+      300

 65,300

Answer:

3/4

Step-by-step explanation:

Answer: 4,218,750

Step by explanation:

Answer:

immma send you the link friend me on hereStep-by-step explanation:

Answer:

28

Step-by-step explanation:

Add up the angles of the ones given so

40 + 112 = 152 and then subtract by 180 to get the missing angle: 180 - 152 = 28

I hope this helped!

Answer:

28°

Step-by-step explanation:

40° + 112 ° + angleCBA =180

152°+ angleCBA= 180

angle CBA=180° - 152°

angle CBA= 28°

Answer:

36%, I'm fairly certian

Step-by-step explanation:

A. 90%

B. 60%

C. 30%

D. 36%

D. makes the most sense to me

The probability of going to the amusement park will be 60%.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The probability will be calculated as:-

[tex]P|A|B|=\dfrac{P(A\cap B)}{P(B)}\\\\\\P|A|B|=\dfrac{0.6\times 0.9}{0.9}=0.6=60\%[/tex]

Therefore probability of going to the amusement park will be 60%.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

Answer:

x+y=-4

Step-by-step explanation:

you need to solve this using elimination!

add both equations to each other:

x-y=-14

5x+7y=-10

the answer would be

6x+6y=-24

to go further,

it would be....

x+y=-4

because you can divide both sides by 6

hope this helped <33333

Answer:

The answers are A and D

Step-by-step explanation:

2/6 simplified is 1/3 and none of the other choices are equal to 1/3, so the answers are A and D.

Answer:

16x³-128y³

2((2x)³-(4y)³)

2(2x-4y)(4x²+8xy+16y²)

2×2×4(x-2y)(x²+2xy+4y²)

16(x-2y)(x²+2xy+4y²)

is your answer in factor form.

The required factor is given by 16(x-2y)(x²+2xy+4y²)

factors can be defined as the the numbers that multiply to give that number.

Factorization
It follow the
a^3-b^3 = (a-b)(a^2+ab+b^2)

[tex]16x^3-128y^3\\16(x^3-(2y)^3)\\16(x-2y)(x^2+2xy+4y^2)[/tex]

Thus the required  factor is given by 16(x-2y)(x²+2xy+4y²).

Learn more about factors here:
https://brainly.com/question/24182713

#SPJ2

Answer:

arithmetic

Step-by-step explanation:

geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time

Answer:

This is an arithmetic sequence and the common difference is equal to 2.

Answer:

36:12 or 3:1

Step-by-step explanation:

12:4= 36: 12

or 12:4 simplify= 3:1

hope it helps

Answer:

6/8??

Step-by-step explanation:

I am a little confused with the question but i believe its 6/8

Answer:

Step-by-step explanation:

Jxjcjja

Answer:

Mikhail is 20 years old

Step-by-step explanation:

80 = Mikhail + Gabrielle

Gabrielle is 60 years old

Mikhail is 20 years old

20 * 3 = 60

20 + 60 = 80

Answer:

[tex]8x - 4 = 60 \\ 8x = 64 \\ x = 8[/tex]

Answer:

8

Step-by-step explanation:

8x-4=60

Answer:

----------------------

hope it helps...

have a great day!!

Answer:

x=5

Step-by-step explanation:

Answer:

138 ft for the area in the proposed design of the green section.

To find the area of the whole shape, you gotta divide it into polygons. So, you find the area of the big rectangle at the bottom first: 18 x 7 = 126. That's the area of the big rectangle.

Then, you find the area of the little square on top. 4 x 4 - 16, that's the area. Then, you gotta add those two together: 126 + 16. The total area is 142 square feet.

Answer: y= -4/5 and x= 29/5

Step-by-step explanation:

From eqn2 , x= 5-y. Thus substituting in eqn1 will give

6(5-y)-4y=38

30-6y-4y=38

30-10y=38

-10y=38-30

-10y= 8

y=8/-10---> y= -4/5

Substituting y in eqn2 we have

x+(-4/5)=5

x=5+4/5

x=29/5

Answer: 143

Step-by-step explanation: hope this helps :)