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Korvikt [17]
3 years ago
5

Nicasio realizes that she needs to be home in 60 seconds or she will miss her favorite TV program. Her house is 360 meters away.

How fast will Nicasio have to run to get home in time?
Mathematics
2 answers:
Zielflug [23.3K]3 years ago
6 0

Answer:

v = s/t = (360 m)/(60 s) = 6 m/s = 21.6 km/h


Igoryamba3 years ago
6 0

Answer:

6 m/s is the correct answer

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Which trigonometric ratios are correct for triangle ABC? Check all that apply.
Alina [70]
Assuming the - are bullet points and not negative signs:
sin = opposite/hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent. 
Also remember the special properties of the 30 - 60 - 90 triangle. 
This tells us that side AB = 9√3

Combining this info:
sin (C) = 9√3  ÷ 18  = √3 ÷ 2<span>
cos(B) = 9 </span>√3 ÷ 18 = √3 ÷ 2<span>
tan(C) = 9 </span>√3 ÷ 9 = √3<span>
sin(B) = 9 </span>÷ 18 = 1/2<span>
tan(B) = 9 </span>÷ 9√3 = 1 / √3 = √(3) ÷ 3
5 0
4 years ago
Use the quadratic formula to solve the equation.
elena-14-01-66 [18.8K]

Answer:

\large\boxed{x=\dfrac{5-\sqrt5}{4},\ x=\dfrac{5+\sqrt5}{4}}

Step-by-step explanation:

\text{The quadratic formula for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac

\text{We have the equation:}\ 4x^2-10x+5=0\\\\a=4,\ b=-10,\ c=5\\\\b^2-4ac=(-10)^2-4(4)(5)=100-80=20>0\\\\x=\dfrac{-(-10)\pm\sqrt{20}}{2(4)}=\dfrac{10\pm\sqrt{4\cdot5}}{8}=\dfrac{10\pm\sqrt4\cdot\sqrt5}{8}=\dfrac{10\pm2\sqrt5}{8}\\\\=\dfrac{2(5\pm\sqrt5)}{8}=\dfrac{5\pm\sqrt5}{4}

3 0
3 years ago
Which value of x from the set {5, 6, 7, 8} makes this equation true? 3x = 24
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Answer:

Value x = 8 make the equation true .

Step-by-step explanation:

Given  : 3x = 24.

To find : Which value of x from the set {5, 6, 7, 8} makes this equation true?

Solution : We have given 3x = 24.

The equations are true when the Left hand side and right hand side of the equation are equal.

Then,

For x = 8 .

3 ( 8) = 24

24 = 24 .

Hence,

Left hand side = Right hand side.

Therefore, Value x = 8 make the equation true .

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