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Karo-lina-s [1.5K]
3 years ago
11

The base of an isosceles triangle is 43m The perimeter of the triangle is 4215 cm what is the lenght of either of the remaining

equal sides​
Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Let the length of equal sides be x cm. Perimeter = x cm + x cm + Base = 4 2/15 cm 2x + 4/3 = 62/15 On transposing 4/3 to R.H.S, we obtain 2x = 62/15 - 4/3 2x = 62 - 4 x 5/15 = 62 - 20/15 2x = 42/15 On dividing both sides by 2, we obtain 2x/2 = 42/15 x1/2 x = 7/5 = 1 2/5 Therefore, the length of equal sides is 1 2/5 c m.

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A triangle has two sides measuring 10 inches and 16 inches. The angle opposite the 16-inch side measures 68.9°. Solve the triang
Nezavi [6.7K]

Answer:

measure of two unknown angles are 35.7° and 75.4°

measure of one unknown side is 16.6 inches

Step-by-step explanation:

i used law of sines to find the angle opposite 10 inch side

sin 68.9/16 = sinФ/10

Ф = 35.7°

then is added 35.7 and 68.9 and subtracted the sum from 180° to get the measure of the third angle, 75.4°

i used law of sines again to find the measure of the third side

sin 68.9/16 = sin 75.4/x

x = 16.59

4 0
3 years ago
−(1/4w+8)+8=3<br> the 1/4 is a fraction
Dvinal [7]

Answer:

w = -12

Step-by-step explanation:

3 0
3 years ago
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After simplifying the following expression, the coefficient of the m^2 term will be ______.
dlinn [17]

Answers:

After simplifying the following expression, the coefficient of the m^2 term will be <u>  13  </u>

The solution is <u>  13m^2 + 6mn^2 - 5nm^2   </u>

====================================================

Explanation:

Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)

You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.

The coefficients 3, 16 and -6 combine to 3+16-6 = 13

Meaning that 3m^2+16m^2-6m^2 = 13m^2

----------------

There are no other like terms that pair up.

The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2

So we cannot combine 6mn^2-5nm^2. We leave it as is.

Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2

6 0
3 years ago
Solve for m: -2/9m + 12 = -8
tresset_1 [31]

Step-by-step explanation:

\rm \rightharpoonup \: \frac{ - 2}{9}m + 12 =  - 8 \\   \rm \rightharpoonup \:  \frac{ - 2}{9} m =  - 8 - 12 \\  \rm \rightharpoonup \:  \frac{ - 2}{9} m =  - 20 \\  \rm \rightharpoonup \: m =  \frac{ - 20 \times 9}{ - 2}  \\  \rm \rightharpoonup \: m = 10 \times 9 \\  \rm \rightharpoonup \: m = 90

4 0
3 years ago
Read 2 more answers
An employee has been stealing funds from the company for years. Which of the following control methods would have most likely un
nasty-shy [4]

Answer:

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