top speed of a peregrine falcon is 240 miles per hour
240 x 1/5 = 48
48-1 = 47
sailfish can swim 47 miles per hour
Answer: The top speed that a sailfish can swim at
Step-by-step explanation:
Since we have given that
Top speed of a peregrine falcon be 'x'.
One fifth the top speed of a peregrine falcon would be
1 mile per hour less than the above is expressed as
According to question, the top speed that a sailfish can swim would be
Hence, the top speed that a sailfish can swim at
You must show all your working.
ML is 4.8cm
LN is 7.2 cm
angle N is 38 degrees
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Answer:
16.66 cm² or 8.49 cm²
Step-by-step explanation:
The law of sines is useful for this.
sin(N)/LM = sin(M)/LN
M = arcsin(sin(N)×LN/LM) = arcsin(sin(38°)×7.2/4.8)
M =67.44° or 112.56°
Angle L is the remaining angle, so will have one of two measures:
L1 = 180° -38° -67.44° = 74.56°
The area of that triangle is ...
A = (1/2)LM×LN×sin(74.56°) ≈ 16.66 . . . . cm²
or ...
L2 = 180° -38° -112.56° = 29.44°
The area of that triangle is ...
A = (1/2)LM×LN×sin(29.44°) ≈ 8.49 . . . . cm²
To calculate the area of triangle MNL, first calculate the size of angle LMN using the Cosine Rule. Then use that angle and the known side lengths in the formula for the area of a triangle (Area = 0.5 * a * b * sin(C)) to find the area.
To solve this, you need to first calculate the size of angle LMN. This can be done using the Cosine Rule, which states that cos(C) = (a² + b² - c²) / 2ab, where a and b are the sides enclosing angle C. Here, angle C would be LMN, and sides a and b would be ML and LN.
Applying the values from your question, the cosine of LMN would be cos(LMN) = (4.8² + 7.2² - 38²) / (2 * 4.8 * 7.2). After calculating the cosine of the angle, you can find the angle itself using the inverse cosine function, or arccos.
Once you have the size of angle LMN, you can calculate the area of the triangle using the formula Area = 0.5 * a * b * sin(C), where a and b are sides of the triangle and C is the included angle. So, the area of triangle MNL would be Area = 0.5 * ML * LN * sin(LMN).
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Answer:
Tommy earned $250 altogether.
Step-by-step explanation:
Let the total earning of Tommy be 'x' dollars.
Given:
Money spent on entertainment = $80
From the circle shown below:
Percent spent on clothes = 19%
Percent spent on food = 25%
Percent spent on other things = 14%
Percent of savings = 10%
Addition of all percents = 100%
⇒ 19% + 25% + 10% + 14% + % Entertainment = 100%
⇒ 68% + % Entertainment = 100%
⇒ % Entertainment = 100% - 68% = 32%
Therefore, as per question:
Hence, Tommy earned $250 altogether.
x=5y-1
x+2y=13
Answer: x = 9, y = 2
Step-by-step explanation:
plug in values and solve.