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algol [13]
2 years ago
12

Find the volume of the following figure. 6 cm3 7 cm3 8 cm3 5 cm3

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
5 0

Answer:

7 cm³

Step-by-step explanation:

Assume each cube has an edge 1 cm in length.

Each cube has volume 1 cm³.

There are 7 cubes.

volume = 7 cm³

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A line has a slope of 5 and passes through the point
podryga [215]

Answer:

Step-by-step explanation:

The equation is mx+b=y.

M=slope (in this case 5)

x=x coordinates

b=y intercept

y=y coordinates

For the x and y coordinates, I'll use (2,0).

5(2)+_=0

10+_=0.

In this case, we only have one awnser, -10. Since 10+(-10) are the only ways to equal 0.

Hope this helps,

5 0
3 years ago
Simplify without using the calculator or the sin tables.​
katovenus [111]

Answer:

1/8

Step-by-step explanation:

sin²(π/8) − cos⁴(3π/8)

Use power reduction formulas:

1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))

Simplify:

1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))

1/2 (1 − √2/2) − 1/8 (3 + 4 (-√2/2) + 0)

1/2 − √2/4 − 1/8 (3 − 2√2)

1/2 − √2/4 − 3/8 +√2/4

1/2 − 3/8

1/8

7 0
3 years ago
Hello please help. I am confused I think.​
8090 [49]

Answer:

2 lines

Step-by-step explanation:

You're close.  The only one missing is the intersection of 3 planes can be 2 lines if 2 of the planes are parallel.

3 0
3 years ago
Suppose that u = < u1,u2 > and v = < v1,v2 > are vectors such that | u+v |^2 = | u |^2 + | v |^2. Prove that u and v
AveGali [126]

If u= (u1,u2,u3) andv= (v1,v2,v3), then the dot product of u and v is u·v=u1v1+u2v2+u3v3. For instance, the dot product of u=i−2j−3kandv= 2j−kisu·v= 1·0 + (−2)·2 + (−3)(−1) =−1.

Properties of the Dot Product.

Let u,v, and w be three vectors and let c be a real number. Then u·v=v·u,(u+v)·w=u·w+v·w,(cu)·v=c(u·v).

Further, u·u=|u|2.  

Thus, if u=0is the zerovector, then u·u= 0, and otherwise u·u>0.1

Orthogonality Two vectors u and v are said to be  orthogonal(perpendicular), if the angle between them is 90◦.Theorem. Two vectors u and v are orthogonal if and only if u·v= 0.

7 0
3 years ago
Help me with number 13 and 14 in he pictures
Goryan [66]
11 is South Africa because if its 60.3 when its LOW then it would be really high if it was the high temp
7 0
3 years ago
Read 2 more answers
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