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Deffense [45]
3 years ago
15

An isosceles triangle has an area of 254 km², and the angle between the two equal sides is 53°. Find the length of the two equal

sides
length of equal sides
Mathematics
1 answer:
torisob [31]3 years ago
8 0
Area of a triangle = 1/2 ab sinC

In this equation the angle C is between the two adjacent sides ab
Since the lengths are equal we can call them both X
Hence 254= 1/2 (x)(x) sin53
By simplifying 508 = (x^2) sin53
So therefore x is the square root of 508 divided by sin53 which means the length of the sides is 35.8km to 3 significant figures
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20 por ciento de probabilidad de que elijas una de esas cartas

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What is the solution to the system?<br><br> 1/2x + 3/2= -7<br> -3x + 2y = -2
inna [77]

Answer:

y = -53/2, x = -17

Step-by-step explanation:

1/2x + 3/2 = -7

-3x +2y = -2

Isolate X for 1/2x + 3/2 = -7

X = -17

Substitute X = -17

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A recipe for crumb cake says to mix 3/8 cup of brown sugar and 1/3 cup of white sugar. From this sugar mixture, set aside 1/4 cu
ch4aika [34]

brown sugar= \frac{3}{8}

white sugar= \frac{1}{3}

you need to mix brown sugar with white sugar

\frac{3}{8} + \frac{1}{3} = \frac{9+8}{24} = \frac{17}{24}

then it says you need to set aside 1/4 for the crumb topping from the previous sugar mixture that was  \frac{17}{24}, so

\frac{17}{24} - \frac{1}{4} = \frac{68-24}{96} = \frac{11}{24}

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3 0
3 years ago
Find the values of the measures shown when each value in the data set increases by 25. Mean: 109 Median: 104 Mode: 96 Range: 45
Vikki [24]

Answer:

The new values are as follows:

Mean: 134

Median: 129

Mode: 121

Range=45

Standard Deviation=3.6

Step-by-step explanation:

When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

Mean_{new}=Mean_{old}+k

Here Mean_{old} is 109 and k is 25 thus

Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134

Similarly

Median_{new}=Median_{old}+k

Here Median_{old} is 104 and k is 25 thus

Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129

Also

Mode_{new}=Mode_{old}+k

Here Mode_{old} is 96 and k is 25 thus

Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

Range_{new}=Range_{old}\\Range_{new}=45

Similarly

Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.

4 0
3 years ago
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