A rectangular lot measures 12 m by 16 m How long is the walk that runs diagonally across it?​

Answer:

The length of HF is 73.9 feet.

Step-by-step explanation:

Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Where θ is the angle given in the triangle = [tex]80^{o}[/tex].

Then,

Sin 80 = [tex]\frac{x}{75}[/tex]

⇒ x = Sin 80 x 75

      = 0.9848 x 75

      = 73.86

x = 73.9

Thus, the length of HF is 73.9 feet.

Answer:

Step-by-step explanation:

15(24/2)=$180

Answer:

2 - 30ft²

3 - 57yd²

Step-by-step explanation:

Hey There!

The first step in solving this problem is finding the formula for area of a trapezoid

[tex]A = \frac{a+b}{2} h[/tex]

a = base 1

b = base 2

h = height

For the first one the dimensions are

a = 6

b = 9

h = 4

now we just plug in the values

[tex]A=\frac{6+9}{2} 4\\6+9=15\\\frac{15}{2}=7.5\\7.5*4=30[/tex]

so the area of the first trapezoid is 30 ft²

For the second one the given dimensions are

a = 8

b = 11

h = 6

now we just plug in the values

[tex]A=\frac{8+11}{2} 6\\8+11=19\\\frac{19}{2} =9.5\\9.5*6=57[/tex]

so the area of the second trapezoid is 57 yd²

Answer:

37.3

Step-by-step explanation:

The length of EC shown in the diagram is 37.3.

"To understand the calculation, check below."

ΔBE -ΔAE= ΔAB

ΔAB=180°-148°

ΔAB=32°

ΔBE -ΔAB-ΔBC=ΔCD   (Congruent angles)

ΔCD  = 180-32-87

ΔCD  =62

EC=61+32

EC=93

L=93•2pi23/360

L=37.3

Therefore , EC=37.3

Learn more about "Congruent angles":

https://brainly.com/question/2789152?referrer=searchResults

Answer:

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

Step-by-step explanation:

Puesto que conocemos la distancia horizontal ([tex]l[/tex]) y la variación en la profundidad ([tex]h[/tex]) de la alberca, en metros, podemos emplear la siguiente razón trigonométrica para calcular el ángulo de inclinación de la alberca ([tex]\alpha[/tex]), en grados sexagesimales:

[tex]\alpha = \tan^{-1}\left(\frac{h}{l} \right)[/tex] (1)

Si sabemos que [tex]l = 10\,m[/tex] y [tex]h = 2.20\,m[/tex], entonces el ángulo de inclinación de la alberca es:

[tex]\alpha \approx 12.407^{\circ}[/tex]

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

Answer:

A is correct answer

ok

now make me brainliest

Answer:

₹14,946

Step-by-step explanation:

Tv s old for ₹14100

Deepak loses 6%

Purchase cost = Selling price + Loss cost

Purchase cost = ₹14100 + ₹14100(6%)

Purchase cost = ₹14100 + ₹846

Purchase cost = ₹14,946

Answer:

x = -0.24 or 3.73

Step-by-step explanation:

[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex] (There's supposed to be a ± between '-b' and the square root)

[tex]x^{2}[/tex] + 4x + 1 ( [tex]ax^{2} + bx + c[/tex] )

a = -1 ( there's no number before [tex]x^{2}[/tex] so its 1 )

b = 4

c = 1

Substitute into the quadratic equation.

[tex]\frac{-4 + \sqrt{4^{2} -4x1x-1 } }{2x-1}[/tex] ( the [tex]x[/tex] is just the multiplication sign )

=  [tex]\frac{-4 + \sqrt{{16} +4 } }{-2}[/tex]

[tex]\frac{-4 + \sqrt{{20} } }{-2}[/tex] = -0.24    [OR]     [tex]\frac{-4 - \sqrt{{20} } }{-2}[/tex] = 3.73

( The answers are to 2 decimal places )

Answer:

3a+13

Step-by-step explanation:

Add 5 and 8 together to get 13

Answer:Graph using the end point and a few selected points.

x           y

0          − 2

1           -5

2           -6.24

Step-by-step explanation:

Oh please first if the rectangle was compete, it's area would be 8.

The area of the missing triangle is [tex]\frac{2*2}{2}[/tex]=2.

8-2=6

And there you go! Your answer is 6.

Answer:

The answer is 4) 69.08 m

Step-by-step explanation:

Answer:

18 miles per hour is an outlier

the outlier decreases the mean speed

Step-by-step explanation:

the low number of 18 is way different from the other numbers being in the 30's and 40's

this 18 will bring the mean of all the numbers own because it is a smaller number.

Answer:

Step-by-step explanation:

Mean:44

Median:31

Mode:47

Answer:

Last option (bottom right)

Step-by-step explanation:

The scientific notation for 0.002 is [tex]2*10^-3[/tex] (you move the decimal 3 to the right to get 2)

multiply the number of mustard seeds with this and you get 80. In scientific notation it is [tex]8*10^1[/tex] (move the decimal 1 to the left to get 8.0)

Answer:

.40 cents

Step-by-step explanation:

Just simple divide 2.40/6 and when you get 0.4, add a 0 because it is money.

Answer:

0.40 cents

Step-by-step explanation:

You divide $2.40 by 6 and you get the answer 0.40 or 0.4

Answer:

-0.82 is closest to -1, and -0.28 is closest to -1/4

Step-by-step explanation:

you can start by converting all of them to a fraction or decimal:

-0.28 = -28/100 = -7/25 = -14/50

-0.82 = -82/100 = -41/50

-1/5 = -10/50

-4/5 = -40/50

-1 = -50/50

-1/4 = -12.5/50

Given:

The equation is

[tex]y=x^2+2x+1[/tex]

where y is the total square inches of tissue paper and x is the side length of the canvas in inches.

To find:

The side length of the canvas is Martha needs 49 square inches of tissue paper.

Solution:

We have,

[tex]y=x^2+2x+1[/tex]

Putting y=49, we get

[tex]49=x^2+2x+1[/tex]

[tex]0=x^2+2x+1-49[/tex]

[tex]0=x^2+2x-48[/tex]

Splitting the middle term, we get

[tex]0=x^2+8x-6x-48[/tex]

[tex]0=x(x+8)-6(x+8)[/tex]

[tex]0=(x+8)(x-6)[/tex]

Using zero product property, we get

[tex]x+8=0[/tex] and [tex]x-6=0[/tex]

[tex]x=-8[/tex] and [tex]x=6[/tex]

Side length cannot be negative. So, only possible value of x is 6.

Therefore, Martha needs 6 inches side length of the canvas for 49 square inches of tissue paper.

Answer:

A i hope its right

Step-by-step explanation:

Answer:

x + 6

Step-by-step explanation:

If you dont know the value of x you cant solve the problem fully

Answer:

6+x

Step-by-step explanation:

2+(x+4)

=2+x+4

=6+x

Answer:

7

Step-by-step explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

Answer:

d or c is the answer of the question

Answer: A and C

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{x = 3}[/tex]

[tex]\large\textsf{Option A.}\downarrow\\\\\mathsf{x + 4 = 7}\\\mathsf{x = 3}\\\mathsf{3+4=7}\\\mathsf{3+4 =\bf 7}\\\mathsf{7 = 7}\\\\\\\large\text{Option A. could possibly be your answer}\checkmark[/tex]

[tex]\large\textsf{Option B. }\downarrow\\\\\mathsf{\dfrac{x}{9}=3}\\\\\mathsf{x = 3}\\\\\mathsf{\dfrac{3}{9}=3}\\\\\mathsf{\dfrac{3}{9}= \dfrac{1}{3}=\bf 0.333333}\\\\\mathsf{0.333333\neq 3}\\\\\large\text{Option B. is NOT your possible answer}[/tex]

[tex]\large\textsf{Option C. }\downarrow\\\mathsf{5-x =2}\\\mathsf{x = 3}\\\mathsf{5-3=2}\\\mathsf{5-3=\bf 2}\\\mathsf{2=2}\\\\\large\text{Option C. could possibly be your answer}\checkmark[/tex]

[tex]\large\textsf{Option D. }\downarrow\\\\\mathsf{8x = 32}\\\mathsf{x =3}\\\mathsf{8(3)=\bf 24}\\\mathsf{24\neq 32}\\\\\large\text{Option D. is NOT your possible answer}[/tex]

[tex]\large\textsf{Option E. }\downarrow\\\mathsf{x - 10=7}\\\mathsf{x =3}\\\mathsf{3-10=7}\\\mathsf{3-10=\bf -7}\\\mathsf{-7\neq7}\\\\\large\text{Option E. is NOT your possible answer}[/tex]

[tex]\boxed{\large\text{Answer: \boxed{\large\text{\bf Option A. x + 4 = 7 \& Option C. 5 - x = 2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]y=\frac{1}{4}x +3[/tex]

Step-by-step explanation:

slope (rise over run) choose 2 points that are easy to figure out. Count up and over to get the slope

(0,3) and (4,4)

3 to 4 is 1

0 to 4 is 4

slope is 1/4

y intercept is b- so +3

y=[tex]y=\frac{1}{4} x+3[/tex]

Answer: c

Step-by-step explanation:

Answer:

I think the answer is C=100

Step-by-step explanation:

Hope this right.But if it's not,im so sorry

Step-by-step explanation:

it's 100 bro definitely 100 being honest

Answer:

the link dosent work says it have bug in it

Step-by-step explanation:

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation: