Find the Area. (number only)
in

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

[tex]\dfrac{lm}{kn}=\dfrac{8}{9}[/tex]

Or this could be written as

[tex]lm=8x\\kn=9x[/tex]

Now the remaining two sides are given as

[tex]lk=lm[/tex] as this form an isosceles triangle so

[tex]lk=8x[/tex]

Similarly

[tex]mn=lm\\[/tex]

Or

[tex]mn=8x[/tex]

Now the perimeter is given as

[tex]\text{perimeter}=lm+mn+kn+lk\\[/tex]

Here perimeter is given as 132 so this gives:

[tex]\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4[/tex]

So the four legs are of length as given below:

[tex]lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36[/tex]

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

Answer:

square - quad with four right angles and four congruent sides

rectangle - quad with four right angles

parallelogram - quad with two pairs of parallel sides

rhombus - quad with four congruent sides

trapezoid - quad with one set of parallel sides

The surface area of the composite solid is 165 [tex]feet^2[/tex].

We possess

4 triangles, each measuring 6 feet in height and 5 feet in base

4 rectangles, each measuring 5 feet long and 4 feet wide

1 square has side a = 5 feet.

The formula for a triangle's area is:

[tex]A_T=\frac{1}{2} bh[/tex]

Substitute:

[tex]A_T=\frac{1}{2} 5*6\\A_T=\frac{1}{2} 30\\A_T=15 ft^2[/tex]

Formula for calculating a rectangle's area:

[tex]A_R=lw[/tex]

Substitute:

[tex]A_R=5*4\\A_R=20 ft^2[/tex]

The formula for a square's area is as follows:

[tex]A_s=a^2[/tex]

Substitute:

[tex]A=s=5^2\\A_s=25 ft^2[/tex]

The composite solid's surface area is:

[tex]SA=4A_T+4A_R+A_s[/tex]

Substitute:

[tex]SA=4*15+4*20+25\\SA= 60+80+25\\SA=165 ft^2[/tex]

The composite solid has a surface area of 165 [tex]feet^2[/tex].

To learn more about surface area, refer:-

https://brainly.com/question/29298005

#SPJ1

Answer:

164 cubic units

Step-by-step explanation:

volume of a sphere = (4/3) x (n) x (r^3)

If volume = 4r^3

volume = 4 x (4)^3 = 164 cubic units

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of calculations of bills.

The bill calculation goes as equation,

y = $250 + n*($10)

here, n = number of lines,

1.) For n = 2 , Y = cost = 250 + 20 = $270

2.) for n = 4 , Y = $290

3.) for n = 6 , Y = $310

4.) for n = x, Y = $250 + x*($10)

for lastly 12 members we get as,

Y = 250 + (12)*(10) = 250+120 = $370

Answer:

45 is the correct answer

Answer: -15

HOPE THIS HELPS

Answer:

700 total sales

Step-by-step explanation:

The computation is shown below:

After 15% discount i.e.

= 100 - 15

= 85%

Now

85% = 595 sales of less than € 100

So,

15% = x sales of € 100 or more than € 100

After this

(595 × 15) ÷ 85 = 105 sales of € 100 or more than € 100

The number of total sales is

= 595 + 105

= 700 total sales

Answer: a,c,d

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

This can be reduced to a ratio of 1/2. Numbers that can be expressed as ratios are rational.

Answer:

B, C, and E

Step-by-step explanation:

Answer:

x = - 4

[tex]g(x) = 8 {x}^{2} + 4x[/tex]

g(- 4) =?

[tex]g( - 4) = 8( { - 4)}^{2} + 4( - 4) \\ g( - 4) = 8 \times 16 - 16 \\ g( - 4) = 128 - 16 \\ g( - 4) = 112[/tex]

=> g (- 4) = 112.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

Step-by-step explanation:

The white box is a rectangle with width of:

a = 2 m

and length of:

b = 7 m - 1 m = 6 m

So its area is  A = 2 m × 6 m = 12 m²

{The shaded blue area is: (5 m + 1 m)(8 m) - 12 m² = 48 m² - 12 m² = 36 m²}

Answer:

7781

Step-by-step explanation:

1842+5939=7781

Answer:

edit: the answer is 1

none; I've tried all of them but they didn't work sorry

Step-by-step explanation:

211,000(1-.041/.1)^3 is the equation i used to check them

.1 because every 10 years

30*.1 is 3

decreases at a rate of .041 or 4.1%

edit: it's 1

the .1 wasn't required so it is:

211,000 (1-.041)^3

Answer:

The answer would be 50m units squared.

Answer:

Undefined

Step-by-step explanation:

The slope on the graph is horizontal so there's no slope and the answer is just y = 3

For a line to be perpendicular to a horizontal line, it is going to be a vertical line.

All vertical lines have an undefined slope.

Answer:

0.421

Step-by-step explanation:

Just add the birds together and divide that into the number of blue jays so 59 blue jays / 140 total birds = 0.421....

Answer:

tan(A)=21/20

cos(A)=20/29

Answer:

75

Step-by-step explanation:

x=60

i litterly just finished this question and lesson tell me if u need help with others

Answer:

D. 140

Step-by-step explanation:

In the equation, [tex]ax^2+bx+c=0,[/tex] the discriminant can be found with [tex]b^2-4ac[/tex].

In this equation,

the discriminant would be: [tex](-10)^2-4(2)(-5)=100+40=140[/tex]

Answer:

D. 140

Step-by-step explanation:

D = b² - 4ac

So, let's identify our values.

a = 2

b = -10

c = -5

Now, we can plug in our values.

D = -10² - 4(2)(-5)

D = 100 + 40

D = 140

Given:

The equation is:

[tex]12=5^x[/tex]

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

[tex]a=b^x\Leftrightarrow \log_b a=x[/tex]

We have,

[tex]12=5^x[/tex]

Here, [tex]a=12,b=5[/tex]. By using the above property of logarithm, we get

[tex]\log_{5}12=x[/tex]

[tex]x=\log_{5}12[/tex]

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

7)

perimeter of a circle is d[tex]\pi[/tex]

50[tex]\pi[/tex]= 157.0796 for both of the circular ends

plus 200 for the two straights

357.07 m

8)

the triangle is 8*2.5 =20  for both sides

10*10 = 100

and 5*7=35  but that's a negative , it's subtracted

120-35=85

85 [tex]in^{2}[/tex]

Now go out side and get exercise  :)

Answer: 65in

Step-by-step explanation:

Break the trapezoid into a rectangle (8in by 10in) and the leftovers are 2 triangles. Find the area for the triangles. Because the top of the trapezoid is 10in and the bottom is 15in, then we know that 15-10 = 5 and that the triangles are 2.5in by 8in. Because the triangles are the same congruent, then just multiply 8 by 2.5 to get 20.

Find the middle part now, which is 8 times 10 to get 80. Then 80 + 20 = the area of the trapezoid.

Lastly, subtract the non shaded region (7x5=35) and then 100-35 = 65

Answer:

158 cases

Step-by-step explanation:

Given tbe quadratic regression model :

y = -2x^2 + 40x + 8

y = number of cases of a new disease

x = number of years

The predicted number of cases of a new disease in 15 years can be calculated thus ;

Put x = 15 in the equation ;

y = -2(15)^2 + 40(15) + 8

y = - 2 * 225 + 600 + 8

y = - 450 + 600 + 8

y = 158

158 cases

Answer:

1.5, -3

Step-by-step explanation:

Answer:

71.70

Step-by-step explanation:

Answer:

71.70 for sure