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jeka94
3 years ago
7

Question 10, 4.A.27

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

dun dun dunnnnnnnnnn

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Bethany and her brother ben decided to go through a corn maze. Bethany starts and walks 10 feet north, 30 feet west and then 20
Westkost [7]

Answer:

About 60.77 feet

Step-by-step explanation:

Attached pic.

Blue line is of Bethany

Green line is of Ben

Red line is the distance between them [what we are trying to find]

We can use pythagorean theorem that tells us:

c^2=a^2+b^2

Where c is the hypotenuse of the right triangle [red lines in both respective triangles]

and

a, b are the two other sides of the triangle

Left Triangle (using pythagorean theorem):

Base is 30

Left side is 20 - 10 = 10

So,

c^2=30^2+10^2\\c=\sqrt{30^2+10^2} \\c=31.62

Right Triangle (using pythagorean theorem):

c^2=25^2 + 15^2\\c=\sqrt{25^2 + 15^2} \\c=29.15

Distance between Bethany and Ben = 31.62 + 29.15 = 60.77 feet

3 0
3 years ago
I don’t know how to do this?
QveST [7]

Answer:


Step-by-step explanation:

If 70 is 50% then 140 is 100%.

c is 75% of 140 = 105

a is 25% of 140 = 35

b is 100% of 140 =140

4 0
3 years ago
I need help pretty please!
Naddika [18.5K]

Answer:

cos(z) = .3846153846 and angle z = 67.38°

Step-by-step explanation:

Side UV is corresponding to side YX.  Side VW is corresponding to side YZ.  Side UW is corresponding to side XZ.

Starting with the first corresponding pair, we are told that side UV is 36, and that side YX is 3/5 of that.  So side YX is

\frac{3}{5}*36=21.6

We are next told that side VW is 39, so side YZ is

\frac{3}{5}*39=23.4

In order to find the cos of angle z, we need the adjacent side, which is side XZ.  Side XZ is 3/5 of side UW.  Right now we don't know the length of side UW, so we find it using Pythagorean's Theorem:

39^2-36^2=UW^2 and

UW^2=225 so

UW = 15

Now we can say that side XZ is

\frac{3}{5}*15=9

The cos of an angle is the side adjacent to the angle (9) over the hypotenuse of the triangle (23.4) so our ratio is:

cos(z)=\frac{9}{23.4}

which divides to

cos(z) = .3846153846

If you need the value of the angle, use the inverse cosine function on your calculator in degree mode to find that

angle z = 67.38°

3 0
3 years ago
45/50 + 50/50 equals what
Kazeer [188]

Answer:

1.9 as a decimal

1 9/10 as a fraction

Step-by-step explanation:

45 + 50 = 95

95/50 = 1 9/10

1 9/10 = 1.9

7 0
3 years ago
Read 2 more answers
Use prime factorization to find the greatest common factor of 56 and 84​
sdas [7]

Answer:

28

Step-by-step explanation:

Hope this helped.

6 0
3 years ago
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