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dsp73
3 years ago
5

GETS BRAINLIEST AND 11 PTS!!

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0

Mike travelled 16 + 30 = 46 miles.

To find how far Henry travelled we use the Pythagoras Theorem

x^2 = 30^2 + 16^2 = 1156

x = sqrt 1156 = 34 miles

Therefore the answer is 46 - 34 = 12 miles

Mike travelled 12 more miles than Henry.

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Simplify: sec(θ) sin(θ) cot(θ)
krek1111 [17]

We have to simplify

sec(θ) sin(θ) cot(θ)

Now first of all let's simplify these separately , using reciprocal identities.

Sec(θ) = 1/cos(θ)

Sin(θ) is already simplified

Cot(θ)= cos(θ) / sin(θ) ,

Let's plug these values in the expression

sec(θ) sin(θ) cot(θ)

= ( 1/cos(θ) ) * ( sin(θ) ) * ( cos(θ) / sin(θ) )

= ( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )

sin cancels out with sin and cos cancels out with cos

So , answer comes out to be

=( sin(θ) /cos(θ) ) * ( cos(θ) /sin(θ) )

= 1

4 0
3 years ago
Read 2 more answers
Find the equivalent expressions for (x + 7)(x + 1).
Natali5045456 [20]

Answer:

The answers should be

x^2 + 8x + 7

x(x + 8) +7

Step-by-step explanation:

(x + 7)(x + 1)

x(x) + x(1) + 7(x) + 7(1)

x^2 + x + 7x + 7

x^2 + 8x + 7

5 0
3 years ago
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[PICTURE ATTACHED] HEEELLPPP!!
Agata [3.3K]
It would most likely be feet.
3 0
3 years ago
for the following questions, determine how many solutions each equation has. if one solution, state the value of x. x+6+8=2x-x+1
vichka [17]

Answer:

infinite solutions

Step-by-step explanation:

x+6+8=2x-x+14

x+6+8=x+14

x+14=x+14

14=14

or

x=x

plug in any number

2+6+8=2(2)-2+14

16=16

another example

8+6+8=2(8)-8=14

22=22

5 0
3 years ago
Expand the binomial (2x^2+y^2)^4. Fill in the missing coefficients in the expansion of the binomial .
Jobisdone [24]
Expanding (2x² + y²)⁴ with Pascal triangle or using binomial theorem gives:

(2x² + y²)⁴ = 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸


5 0
3 years ago
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