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shusha [124]
3 years ago
7

Stephen scored 17/20 on his spelling test. What was his percentage score ?​

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

Here the answer

Step-by-step explanation:

Sorry for the writing its hard to draw using computer + i am bad at it : )

hope u like it

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Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k​
valkas [14]

Answer:

\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k​, the vector projection of B unto a is expressed as proj_ab = \dfrac{b.a}{||a||^2} * a

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k  =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

b.a = 6

||a|| = √5²+11²+(-2)²

||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||²  = 130

proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\

<em>Hence the projection of b unto a is expressed as </em>\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\<em></em>

7 0
3 years ago
(-7x+8y-2z)+(-9x-y+6z)​
Svetach [21]

Answer: the answer is -16x+7y+4z

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The same as the other math problem ​
sveta [45]

Answer:

12. Y=8 is the answer I have the explain

13. X=-1 is the answer I have the explain

Step-by-step explanation: hope this help

8 0
3 years ago
You estimate that a baby pig weighs 20 pounds. The actual weight of the baby pig is 16 pounds. Find the percent error.
WARRIOR [948]
20-16=4
16/4=4
1/4=.25
.25=25%
5 0
3 years ago
a wheelchair ramp is in the shape of a triangular prism. it has a base area of 37.4 square yards and a height of 5 yards. find t
kirill [66]
Given:
Triangular prism.
Base area : 37.4 square yards
height : 5 yards

To find the volume of the ramp based on the given figures, we simply multiply the base area by the height.

Volume = base area * height
V = 37.4 square yards * 5 yards
V = 187 cubic yards.

The volume of the triangular prism-shaped ramp is 187 cubic yards.

7 0
3 years ago
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