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2 years ago

Answer the following unsolved questions, make sure the answers match correctly with the ones in the answer box.

Mathematics

1 answer:

swat322 years ago

8 0

4) (8)(2)-2^3=8
5) (7)(4)^2=112
6) 10(8+3)=110
7) 4+8(9+10)=156
8)4+8/3=4
9)7-3/4=1
10)3^2-2^2=5
11)4•8•2=64
12)8^2-4(4)(2)=32
13)4+10(8-3)=54
14)4^3+8^3=576
15)10(9-4+2)=70
16)2(10)-8/2=6
For number one the answer is not 8 the answer is 34. 4•8=32 not 36.
The two numbers that weren’t used was 41 and 127 and if added together you get 168.

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4 x 5 - (2² - 2) =? (18 ÷ 3) + (3² - 7) =?

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2 years ago

The cosine of 23° is equivalent to the sine of what angle

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Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

$\cos(90^\circ-x)=\sin(x)$

$\sin(90^\circ-x)=\cos(x)$

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

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3 years ago

"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place o

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Answer:

11.2 miles

Step-by-step explanation:

We can create a triangle from the information given.

We can call the starting point (0,0) in the coordinate system.

10 mi east - 10 miles to the right. then,
5 mi north - 5 miles above

See the attached picture. The direct distance is labeled as x.

Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

$10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18$

Rounding to nearest tenth, we have 11.2 miles

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