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3 years ago

5. In the figure, . Solve for . Show your work.

Mathematics

1 answer:

natima [27]3 years ago

3 0

Answer:

Step-by-step explanation:

6/10=9/x

cross multiply

6x=9*10

6x=90

x=90/6x=15

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Suppose an isosceles triangle abc has a=pi/4 and b=c=4. What is the length of a^2?

Zanzabum

The law of cosines states that, if $\alpha$ is the angle between sides b and c,

$a^2 = b^2+c^2-2bc\cos(\alpha)$

So, plugging our values, we have

$a^2 = 16+16-2\cdot 4\cdot 4\cdot\cos\left(\dfrac{\pi}{4}\right)$

This is equal to

$a^2 = 32-32\cdot\dfrac{\sqrt{2}}{2} = 32-16\sqrt{2}$

3 0

3 years ago

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Leokris [45]

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2 years ago

10% of the time Spencer runs in pre-athletics he comes in first place. If he runs 30 times, how many times is he in first place?

Stels [109]

Answer: He win 3 out of the 30

Step-by-step explanation:

30 divided by 10 = 3 which is 10 percent of 30 :)

3 0

3 years ago

Samantha wants to use her savings of 1150 to buy shirts and watches for her family. The total price of the shirt she bought was

ioda

Answer-

The maximum number of watches that Samantha come by with her savings is 10.

Solution-

The amount of money Samantha has in her savings account = $1150

She wants to buy shirts and watches.

Cost of one shirt = $84

Cost of each watch = $99

Let she can buy maximum of x watches, so the net price of the watches is $99x.

Then,

$\Rightarrow 99x+84=1150\\\\\Rightarrow 99x=1150-84\\\\\Rightarrow 99x=1066\\\\\Rightarrow x=\dfrac{1066}{99}\\\\\Rightarrow x=10.77$

As the number of watches can not be in fraction, so at most she can buy 10 watches.

8 0

3 years ago

1. PLEASE HELP. Consider the matrices-

Alex

Answer:

A - B = [ -1 3 ]

[ -6 2 ]

[ -4 -10 ]

Step-by-step explanation:

Since Matrix A and Matrix B have the same size, then we can simply perform the operation of subtraction on each position within the matrices to get the resulting subtracted matrix.

A = [ 4 7 ] B = [ 5 4 ]

[ -3 8 ] [ 3 6 ]

[ -5 -2 ] [ -1 8 ]

A - B = [ (4 - 5) (7 - 4) ]

[ (-3 - 3) (8 - 6) ]

[ (-5 - -1) (-2 - 8) ]

A - B = [ -1 3 ]

[ -6 2 ]

[ -4 -10 ]

Cheers.

8 0

3 years ago