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Rudiy27
3 years ago
6

If the gradient of a line,C, is 2/3, what is the gradient of a line which perpendicular to C

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0
Gradient of a line times the gradient of a line that is perpendicular to it is-1
M1M2=-1
2/3 times M2=-1
M2=-1 times 3/2
The gradient is =-3/2
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Which expresses 216:270 in its simple form
Ivanshal [37]

Answer:

4/5

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 216 and 270 is 54

Divide both the numerator and denominator by the GCD

216 ÷ 54

270 ÷ 54

Reduced fraction:  

4

5

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3 years ago
Mari spends $6 on cheese for a party she also plans to buy b boxes of crackers that cost $3 per box
PSYCHO15rus [73]

Answer:

The answer is 6+3b<or equal to 15

Step-by-step explanation:

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3 years ago
#11 and #13 geometry help please help need work shown as well !!
Trava [24]

Answer: In diagram (11) X = 30 degrees and Y = 60 degrees

In diagram (13) X = 20.55 degrees and Y = 69.45 degrees

Step-by-step explanation: What we have are two right angled triangles with two sides given in each case, therefore we can calculate the two unknown angles (since the third angle equals 90 degrees).

For the second triangle (number 13) we shall use Y as the reference angle. That means we have an opposite (the side facing the reference angle) which is 24 and we have an adjacent (the side that lies between the right angle and the reference angle) which is 9. Hence,

Tan Y = opposite/adjacent

Tan Y = 24/9

Tan Y = 2.6667

Checking with your calculator or table of values, 2.6667 = 69.45

Having two angles, which are 90 and 69.45, the third angle X can be computed as

X = 180 - (90 + 69.45)

Sum of angles in a triangle equals 180

X = 180 - 159.45

X = 20.55 and Y = 69.45

For the first triangle (number 11) we shall use X as the reference angle. We have two sides, the opposite (the side facing the reference angle) which is 3, and the hypotenuse (side facing the right angle) which is 6. Hence,

Sin X = opposite/hypotenuse

Sin X = 3/6

Sin X = 0.5000

Checking with your calculator or table of values,

X = 30 degrees.

Also, now that we have two angles we can easily compute the third angle as follows

Y = 180 - (90 + 30)

Sum of angles in a triangle equals 180

Y = 180 - 120

Y = 60

X = 30 and Y = 60

4 0
3 years ago
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rjkz [21]

1 answer

1a. If you deposit $5,600 at the end of each of the next 20 years into an account paying 10.8 percent interest, how much money will you have in the account ...

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2 years ago
Consider the functions f(x) = 2x + 1 and g(x) = x^2 - 10. What is the value of f[g(3)]?
ziro4ka [17]

Answer:

f[g(x)]= 2(x^2-10)+1

2x^2-20+1

f[g(3)]=2(3)^2-20+1

18-20+1

18-19=-1

7 0
3 years ago
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