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3 years ago

8

Find the value of x I’d appreciate if you could explain as well if not that’s fine

1 answer:

Kipish [7]3 years ago

7 0

All the angles in a circle equal to 360 degrees. So basically just add up all the known values: 23+23+15=61 and then subtract that from 360: 360-61=299.

You can also do 23+23+15+x=360. Adding it all becomes 61+x=360, subtract 61 from both sides of the equation, and you get x=299.

(Something to help remember is that the angle is obtuse, meaning it’s automatically more than 90 degrees, hope this helps!)

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Which set of statistics best described a typical home value in Maya's neighborhood and how the values vary?

pashok25 [27]

The median and IQR hope it's the right answer

4 0

4 years ago

You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3

Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

$h=\frac{504}{lw}$

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides $C_{s}$ = 3[2(l + w)h] = 6(l + w)h

$C_{s}$ = 3[2(l + w)h]

$C_{s}=6(l+w)(\frac{504}{lw} )$

Cost of the top and the bottom $C_{(t,p)}$ = 4(2lw) = 8lw

Total cost of the box C = $3024\frac{(l+w)}{lw}$ + 8lw

= $3024[\frac{1}{l}+\frac{1}{w}]$ + 8lw

To minimize the cost of the sides

$\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0$

$\frac{3024}{l^{2}}=8w$

$\frac{378}{l^{2}}=w$ ---------(1)

$\frac{dC}{dw}=3024(-w^{-2})+8l=0$

$\frac{3024}{w^{2}}=8l$

$\frac{378}{w^{2}}=l$

$w^{2}=\frac{378}{l}$ -------(2)

Now place the value of w from equation (1) to equation (2)

$(\frac{378}{l^{2}})^{2}=\frac{378}{l}$

$\frac{(378)^{2} }{l^{4}}=\frac{378}{l}$

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

$w^{2}=\frac{378}{7.23}$

$w^{2}=52.28$

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

$h=\frac{504}{(7.23)^{2}}$

h = 9.64 cm

6 0

4 years ago

Will Smith obtained a $2,000 loan to purchase a computer. His interest rate is 7% ordinary interest for 108 days. How much inter

Liula [17]

2000x7/100=140
2000-140=1860

4 0

4 years ago

The product of a number and 5 is increased by 12 the result is 32 find the number

frozen [14]

Answer:

4

Step-by-step explanation:

5 x 4 = 20

+ 12 = 32

3 0

3 years ago

Read 2 more answers

To win a prize at a fair you must throw a coin into a space that is 7.0 cm long and 4.0 cm wide. what is the area of the space y

dlinn [17]

Alright, lets get started.

space that is 7.0 cm long and 4.0 cm wide it means space is in rectangular shape.

The lenght of the space = 7 cm

The width of the shape = 4 cm

The formula of area of rectange = length * width

The area of rectange = $7*4$

The area of rectange = 28 square cm

So, the area of the space you are aiming for 28 square cm. : Answer

Hope it will help :)

3 0

3 years ago