You hike 210 meters up a steep hill that has a 31 degree angle of elevation as shown in the diagram.



Give each side and angle measure rounded to the nearest whole number

Answer:

-8.71428571

Step-by-step explanation:

Calculator gl

Answer:

m<A=97

m<B=97

Step-by-step explanation:

m<A=m<B

Congruent angles and they are vertical angles. The other two are also the same because the angles given have the same degrees.

m<A is supplementary to 83 degrees

Supplementary angles are two angles that sum up to 180 degrees.

180-83=97

97 degrees is the answer for each missing angles.

Answer:

1. m<a and m<h, m<e and m<d

2.m<a and m<c, m<b and m<d, m<e and m<g, m<f and m<h

3. m<a= 112

m<c=112

m<f=112

m<h=112

m<b=68

m<d=68

m<e=68

m<g=68

Answer:

457.9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Considering she wore a black shirt 6 times in 20 days will give you the statistic of 3/10. If the question is about the next 10 days then she will wear 3 black shirts. (It's also 1/2 of the original question.)

Hello !

Answer:

[tex]\large\boxed{\sf Option\ 3 : 66cm}[/tex]

Step-by-step explanation:

The circumference of a circle is given by [tex]\sf C=2\times\pi\times r[/tex], where r is the radius.

Given :

Let's replace r with its value in the previous formula :

[tex]\sf C=2\times 3.14\times 10.5[/tex]

[tex]\sf C=65.94[/tex]

[tex]\boxed{\sf C\approx 66cm}[/tex]

Have a nice day

Answer:

4(x-5)= 4x-20

so the equivalent equation is 4(x-5)

Answer:

I don't actually know sorry

Step-by-step explanation:

I don't know

Answer:

y=15

Step-by-step explanation:

y=21 - 6

y = 15

hope this helped!

Answer: n=-5/12

Step-by-step explanation: 1/3-3/4=-5/12

hoped this helped :))

Answer: n= 5/12

Step-by-step explanation: 13=+3413=n+3431​=n+43​13−34=+34−34

Hope this helps!

Answer:

The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School  wrestling team

Step-by-step explanation:

Since the value of absolute deviation in case of Trail Middle School wrestling team and Burlington Middle School  wrestling team is same. Hence, there will be no impact of it while determining the difference in mean deviation of both the team.

Thus, the difference in mean deviation is [tex]150-130 = 20[/tex]

The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School  wrestling team

Answer:

4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x

Step-by-step explanation:

length = 5 - 2x

width = 3 - 2x

heighth = x

x(5 - 2x)(3 - 2x)

x(15 -16x + 4[tex]x^{2}[/tex])

4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x

The largest volume of such a box is 4.345[tex]ft^{3}[/tex].

Given that,

A rectangular sheet of cardboard 3 feet by 5 feet will be made into an open box by cutting equal-sized squares from each corner and folding up the four edges.

The shaded region represents the area  that was cut from the corners of the box.

We have to determine,

The largest volume of such a box.

According to the question,

The height will be  x

The width will be  (3 − 2 x)

And the length will be ( 5− 2 x)

.

The formula for volume will be,

[tex]Volume = Length \times Height \times Width\\\\[/tex]

Substitute the values in the formula,

[tex]Volume = x(3-2x).(5-2x)\\\\Volume = (3x-6x^{2}).(5-2x)\\\\Volume = 3x(5-2x) - 6x^{2}(5-2x)\\\\Volume = 15x - 6x^{2} - 30x^{2} + 12x^{3}\\\\Volume = 12x^{3} -36x^{2} + 15x[/tex]

 Then,

To Find the derivative of the equation,

[tex]V = 12x^{3} -36x^{2} + 15x\\\\Differentiate\ with\ respect\ to\ x\ both\ sides,\\\\\dfrac{dv}{dx} = \dfrac{d(12x^{3} -36x^{2} + 15x)}{dx}\\\\V' = 36x^{2} - 72x+15[/tex]

The critical numbers by seeing where  V '  =  0,

[tex]= 36x^{2} -72x +15\\\\= 3 ( 12x^{2} - 24x +5 )\\[/tex]

By using the quadratic formula or your calculator to solve for  

x = 0.23, and 1.6

x = 1.6 is not in the domain since that would make one of our side lengths less than zero.  x  =  0.23

Plug x back into the equations to get the dimensions,

[tex]3-2x = 3- 2 \times -0.23 = 3+0.46 = 3.46\\5-2x = 5 - 2 \times -0.23 = 5+0.46 = 5.46[/tex]

Therefore, the dimension are  0.23 ft x 3.46 ft x  5.46 ft.

Hence, The largest volume of such a box is 4.345[tex]ft^{3}[/tex].

To know more about Dimension click the link given below.

https://brainly.com/question/23288467

Answer: either I don't understand the question or its 72% and I'm fairly certain its 72%

y=5x-3 I think so.....

Answer:

45 degrees

Step-by-step explanation:

The following shape is an octagon, having 8 sides and knowing that any regular polygon has an exterior angle value of 360 degrees, you can say 360/8 to find the measure of each exterior angle, leading to equal 45 degrees.

Hope it helped! (:

Answer:

you should get math w ay it's good

Answer:

13 is c

14 is b

Step-by-step explanation:

Answer:

Boys: 2/17

Girls: 4/17

Step-by-step explanation:

2 + 15 = 17 (to get the total number of boys in Sapphire's class)

4 + 13 = 17 (to get the total number of girls in the class)

The proportion is how many who are left handed over the total number of girls/boys. ^^

So, left-handed for boys = 2, which makes the proportion 2/17

And there are 4 left-handed girls, so the proportion is 4/17

área del parque

A=Pi . R^2

A=Pi (700m^2)

A=3.1416 x 490000m^2

A= 1539380.4 m ^2

área de la fuente

a= Pi. r^2

a=Pi (5cm^2)

a=3.1416 x 25cm^2

a= 78.54 cm^2

Luego lo que hacemos que al area grande le restamos la pequeña.

pero antes que nada convertiremos los metros a centimetros.

A= 1539380.4 m^2

1539380.4 m^2 (100cm/1m)

eliminaras los metros y te quedara asi

1539380.4  ( 100 cm/ 1)

153,938,040 cm^2

luego restamos A-a

153,938,040 cm^2 -  78.54cm^2

R/ el area de la zona de paseo es de 153937961.5 cm^2 !!

Answer:

9

Step-by-step explanation:

radius is half of the diameter

Answer:

B

Step-by-step explanation:

Answer:

it's 0.625

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

Answer:

x=4-√79, x=4+√79

Step-by-step explanation:

Answer:

18/5

Step-by-step explanation:

12+17+20+8+13 =70

70/5 = 14 which is the mean

the distances from the mean are

2 3 6 6 1

add them which is 18 then divide by 5 to find the mean

18/5

Answer:

3.43%

Step-by-step explanation:

362-350=12

12:350*100 =

(12*100):350 =

1200:350 = 3.43

Answer:

x=6

Step-by-step explanation:

30=6+4x

you have to combine the number that are the same, like 2 and 4 or 3x and 4x

30-6=4x (you should always remember when you move a number if it was - it will turn +)

30-6=4x

24=4x

x=24/4

x=6

Answer:

4%

Step-by-step explanation:

Given data

The total sales= $8900

Donated amount=$356

Hence the percent donated is

=Donated amount/Total Sales *100

= 356/8900*100

=0.04*100

=4%

Hence the donated percent is 4%

Answer:

B

Step-by-step explanation:

step 1 - rationalize the denominator to get:

[tex]\sqrt{35x^5}[/tex] ÷ [tex]\sqrt{7x^3}[/tex]  =  ([tex]\sqrt{245}[/tex] ·x^5/2·x^3/2) ÷ 7x³

= ([tex]\sqrt{5}[/tex][tex]\sqrt{7}[/tex][tex]\sqrt{7}[/tex]·x^4) ÷ 7x³

= 7[tex]\sqrt{5}[/tex]·x^4 ÷ 7x³

= [tex]\sqrt{5}[/tex]x

Answer:

(1,3)

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis, or when x is equal to 0).

We're given that this line contains the point (0,1). This tells us that the y-intercept (b) of the line is 1.  We're also given that this line has a slope (m) of 2. Plug these values into [tex]y=mx+b[/tex]:

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

Now, plug in all of the possible points to see which are solutions.

1) (1,3)

[tex]3=2(1)+1\\3=2+1\\3=3[/tex]

Because the left side of the equation is equal to the right, (1,3) also lies on this line.

2) (3,1)

[tex]1=2(3)+1\\1=6+1\\1=7[/tex]

Because the left side is not equal to the right, (3,1) does not lie on the line.

3) (2,2)

[tex]2=2(2)+1\\2=4+1\\2=5[/tex]

Because the left side is not equal to the right, (2,2) does not lie on the line.

4) (2,3)

[tex]3=2(2)+1\\3=4+1\\3=5[/tex]

Because the left side is not equal to the right, (2,3) does not lie on the line.

I hope this helps!