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mestny [16]
3 years ago
11

The side of rhombus is 14 in. The obtuse angle is 160º. Find the longer diagonal of the rhombus.

Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

x = 27.57 in to the nearest hundredth.

Step-by-step explanation:

The longer diagonal  is opposite the obtuse angle.

Also as it is a rhombus all sides = 14 in.

Use the Cosine Rule:

x^2 = 14^2 + 14^2 - 2*14^2 cos 160

x^2 =  760.36

x = sqrt 760.36

x = 27.57 in.

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Very confused especially on number three.
kogti [31]

Answer:

yes it was so confused for me too

5 0
3 years ago
Two mountain bikers take off from the same place at the same time. One travels north at 4 mph, and the other travels east at 3 m
Dafna1 [17]

Answer:

20 miles (Answer B)

Step-by-step explanation:

The northbound biker travels (4 mph)(4 hr) = 16 mi, and

the eastbound biker travels (3 mph)(4 hr) = 12 mi.

They travel at right angles to one another.  Thus, the Pythagorean Theorem applies here.  The distance between the two bikers is d = √( [12 mi]^2 + [16 mi]^2 ), or √(144 + 256) mi, or √400 mi, which works out to 20 miles.

Answer B is correct.


8 0
3 years ago
How many different 10-letter words (real or imaginary) can be formed from the letters of the word LITERATURE?
nordsb [41]

Answer:

The number of words that can be formed from the word "LITERATURE" is 453600

Step-by-step explanation:

Given

Word: LITERATURE

Required: Number of 10 letter word that can be formed

The number of letters in the word "LITERATURE" is 10

But some letters are repeated; These letters are T, E and R.

Each of the letters are repeated twice (2 times)

i.e.

Number of T = 2

Number of E = 2

Number of R = 2

To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;

Number of words that can be formed = \frac{10!}{2!2!2!}

Number of words = \frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1 * 2 * 1 * 2 * 1}

Number of words = \frac{3628800}{8}

Number of words = 453600

Hence, the number of words that can be formed from the word "LITERATURE" is 453600

8 0
3 years ago
Help me on this math problem?
shusha [124]

Answer:

just add them

Step-by-step explanation:

4 0
3 years ago
Can some one help me plzz
zloy xaker [14]

Let me try . . .

When two lines intersect, they form four (4) angles, all at the same point.
There are two pairs of angles that DON't share a side, and a bunch of other
ones that do share sides. A pair of angles that DON't share a side are called
a pair of "vertical angles".

A pair of vertical angles are equal, but this problem isn't even asking you about
that; it's just asking you to find a pair of vertical angles.

Since you and I are not sitting together at the same table, I can't point to
the drawing and point out different angles to you.  You just have to go
through the choices, and find a choice where both angles are formed from
the same two lines.

The first choice (KRE and ERT) is no good, because KR,  RE,  and  RT
are parts of three different lines.

Check out the other 3 choices, and you're sure to find the only one where
both angles are formed by the same two lines.


4 0
3 years ago
Read 2 more answers
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