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3 years ago

What is the total volume of glass used to make the award?

Mathematics

2 answers:

Sholpan [36]3 years ago

7 0

152 inches cubes because when I done this in my class he gave us the answer

alina1380 [7]3 years ago

3 0

Answer:

The answer is option 2.

Step-by-step explanation:

We have to seperate the figure into 2 shapes, pyramid and cube. Then you find the volume of each shapes. First, we will find the volume of pyramid using the formula, V = 1/3×base area×h where the base area is the area of the square and h is the height of pyramid :

base area = 6×4

= 24 in²

h = 15 - 2

= 13 in

V = 1/3×24×13

= 104 in³

Next you have to find the voulme of cube with the formula, V = l×b×h where l represents the length, b is breadth and h is the height :

l = 6 in

b = 4 in

h = 2 in

V = 6×4×2

= 48 in³

Lastly, you just have to add up both voulmes of the shapes together :

V pyramid = 104 in³

V cube = 48 in³

V figure = 104 + 48

= 152 in³

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Math problem plz help

Firlakuza [10]

Answer:

5/2 x 1/2

Step-by-step explanation:

when you multiply fractions you multiply trait across meaning you do 5*1 and 2*2 which leaves you with 5/4 and that is equivalent to 1 &1/4

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3 years ago

What is the equation in point slope form of the line that is parallel to the given line and passes through the point (4,1)?

vovikov84 [41]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$y-1=\stackrel{\stackrel{m}{\downarrow }}{2}(x-4)\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line with a slope of 2 and that it passes through (4 , 1)

$(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{4})$

kinda twins.

8 0

2 years ago

What is the exact value of cos (67.5°)?

babymother [125]

first off, make sure you have a Unit Circle, if you don't do get one, you'll need it, you can find many online.

let's double up 67.5°, that way we can use the half-angle identity for the cosine of it, so hmmm twice 67.5 is simply 135°, keeping in mind that 135° is really 90° + 45°, and that whilst 135° is on the 2nd Quadrant and its cosine is negative 67.5° is on the 1st Quadrant where cosine is positive, so

$cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\\\ cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}} \\\\[-0.35em] ~\dotfill\\\\ cos(135^o)\implies cos(90^o+45^o)\implies cos(90^o)cos(45^o)~~ - ~~sin(90^o)sin(45^o) \\\\\\ \left( 0 \right)\left( \cfrac{\sqrt{2}}{2} \right)~~ - ~~\left( 1\right)\left( \cfrac{\sqrt{2}}{2} \right)\implies -\cfrac{\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill$

$cos(67.5^o)\implies cos\left( \frac{135^o}{2} \right)\implies \pm \sqrt{\cfrac{ ~~ 1-\frac{\sqrt{2} ~~ }{2}}{2}}\implies \stackrel{I~Quadrant}{+\sqrt{\cfrac{ ~~ 1-\frac{\sqrt{2} ~~ }{2}}{2}}} \\\\\\ \sqrt{\cfrac{ ~~ \frac{2-\sqrt{2}}{2} ~~ }{2}}\implies \sqrt{\cfrac{2-\sqrt{2}}{4}}\implies \cfrac{\sqrt{2-\sqrt{2}}}{\sqrt{4}}\implies \cfrac{\sqrt{2-\sqrt{2}}}{2}$

8 0

2 years ago

Please someone help me with this

gregori [183]

Answer:

260 cm³

Step-by-step explanation:

<u>Full surface area:</u>

S = 3(6*10) + 2(1/2*8*10) = 260 cm³

3 0

3 years ago

Read 2 more answers

What is the equation of a line that passes through the points -2 -2 and has a slope of four

andrey2020 [161]

Answer:

y = 4x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 2, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = 4x + 6 ← equation of line

7 0

3 years ago