All categories

3 years ago

Can someone please answer! There's a picture! Thank you!!!!!!!

Mathematics

1 answer:

____ [38]3 years ago

6 0

Because we know that CD is a semicircle and we can tell from the diagram that ED measures a portion of CD, this means that it must measure less than 180 degrees, making it a minor arc. (minor arc)

You might be interested in

6-5/8= (5/8 is just like that but slanted)

Anna [14]

Answer:

43/8 or 5 and 3/8

Step-by-step explanation:

This is because if you find the lcd, its 24. 36/6, or 6, in 24 is 144/24.

5/8 is 15/24.

144/24-15/24 is 129/144, which simplified is 43/8, or 5 and 3/8

6 0

3 years ago

Jarrod walked 3 miles due north before turning left and walking 3.5 miles due west. He turned again and returned to his starting

Ganezh [65]

See the attached figure

the angle of the last turn was angle alfa in the point C
tan(alfa)=3/3.5=0.8571
alfa=arctan(0.8581)=40.60°
Round to the nearest degree---------> alfa=41°

the answer is 41°

4 0

3 years ago

11th grade geometry:

Aliun [14]

Answer:

The perimeter is 72 units and the area is 149 square units.

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. (Rounded to the nearest unit)

The height of the triangle for the corresponding base $SB$ is 8.89 units.

Formula for the Area of triangle, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. (Rounded to the nearest unit)

3 0

4 years ago

A box is to be constructed from a sheet of cardboard that is 20 cm by 50 cm by cutting out squares of length x by x from each co

Nezavi [6.7K]

We are given the dimensions of the box:

l = 50 cm

w = 20 cm

We know that the volume of a box is:

V = l w h

where h = x

However since x cuts is made on both all sides of the box, therefore the new dimensions would be:

V = (l – 2x) (w – 2x) x

V = (50 – 2x) (20 – 2x) x

V = 1000x – 100x^2 – 40x^2 + 4x^3

V = 4x^3 – 140x^2 + 1000x

To get the maxima value, we get the 1st derivative of the function then set dV/dx = 0 to solve for x:

dV / dx = 12x^2 – 280x + 1000

12x^2 – 280x + 1000 = 0

Transpose 1000 to the right side and divide everything by 12:

x^2 – (280/12)x = -(1000/12)

Completing the square:

x^2 – (280/12)x + (78400/576) = -(1000/12) + (78400/576)

[x – (280/24)]^2 = 52.78

x – (280/24) = ±7.26

x = (280/24) ± 7.26

x = 4.40, 18.93

x cannot be 18.93 since this would result in a negative value of 20 – 2x, therefore:

x = 4.40 cm

Calculating for the volume:

V = (50 – 2*4.4) (20 – 2*4.4) (4.4)

V = 2030.34 cm^3

4 0

3 years ago

What is the slope of the line

abruzzese [7]

Answer:

1/3

Step-by-step explanation:

3 0

3 years ago