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insens350 [35]
3 years ago
15

A plastic box has the dimensions shown. 2 square pyramids are stacked on their bases. The bases are 8 centimeters by 8 centimete

rs and the height of each pyramid is 7.5 centimeters. What is the volume of the box? 160 cm3 320 cm3 480 cm3 960 cm3
Mathematics
2 answers:
gtnhenbr [62]3 years ago
6 0

Answer:

the answer is 320

Step-by-step explanation:

just did the instruction

zubka84 [21]3 years ago
4 0

Answer:

320

Step-by-step explanation:

To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

Wow look at my full percent battery

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Each problem below gives the endpoints of a segment. Find the coordinates of the midpoints of each segment. A.(5, 2) and (11, 14
kvv77 [185]

The midpoints are (8,3) and (6.5,6).

<u>Step-by-step explanation</u>:

Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)

(x1,y1) = (5,2)

(x2,y2) = (11,4)

Midpoint = ((5+11)/2 , (2+4)/2)

⇒ ((16/2) , (6/2))

⇒ (8,3)

(x1,y1) = (3,8)

(x2,y2) = (10,4)

Midpoint = ((3+10)/2 , (8+4)/2)

⇒ ((13/2) , (12/2))

⇒ (6.5,6)

8 0
4 years ago
A parabola can be drawn given a focus of (8, -1)(8,−1) and a directrix of y=-11y=−11. Write the equation of the parabola in any
Sav [38]

Answer:

(x - 8)² = 20(y + 6)

Step-by-step explanation:

The focus of the parabola is (8,-1) and the equation of the directrix is y = - 11.

So, the parabola opens up and the axis of symmetry is x = 8 line.

Now, the axis of symmetry and the directrix meet at the point (8,-11).

So, the vertex of the parabola will be the midpoint of (8,-1) and (8,-11) i.e. (8,-6).

Now, half of the distance between the focus and the directrix is = a = \frac{11 - 1}{2} = 5 units.

So, the equation of the parabola in vertex form will be

(x - 8)² = 4 × 5 × (y + 6)

⇒ (x - 8)² = 20(y + 6) (Answer)

6 0
3 years ago
jessie has n dollars in his bank account. he deposits $132 write an expression that represents the total amount jessie now has i
Elis [28]

Answer:

n+132

Step-by-step explanation:

8 0
3 years ago
A triangle has a perimeter of 16x + 4. If Side 1 is 3x + 2, Side 2 is 8x + 7, what is the measure of Side 3?
scoundrel [369]

Answer:

5x - 5

Step-by-step explanation:

To find the missing side, add the two sides together and subtract them from the perimeter.

side 1 + side 2

3x + 2 + 8x + 7

combine like terms

11x + 9

Subtract from the perimeter

16x + 4 - (11x + 9)

rewrite as an addition problem, so you need to change the signs inside the parentheses.

16x + 4 + (-11x -9)

Now combine like terms

5x - 5

8 0
3 years ago
At a large Midwestern college, 4 % 4% of the students are Hispanic. A random sample of 20 students from the college is selected.
oee [108]

Answer:

option a

Step-by-step explanation:

given that at a large Midwestern college, 4 % 4% of the students are Hispanic.

A  random sample of 20 students from the college is selected.

We have each student is independent of the other to be hispanic

p = success = being hispanic = 0.04 while

q = failure = being non hispanic = 0.96

X - no of hispanics is thus binomial with p = 0.04 and n =20 (sample size)

Since X is binomial

Var(x) = npq = 0.768

Std dev (x) = Square root of variance = \sqrt{0.768} \\=0.8764

rounded off it gives 0.88

So option a is right

4 0
3 years ago
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