MATHEMATICS HIGH SCHOOL

Carl drove to his grandmother’s house. He drove for 6 hours and averaged a speed of 55 miles per hour. At the end of 6 hours he still had 90 miles to go until he reached his grandmother’s house. What was the distance of his trip?

Answers

Answer 1

Answer:

Answer:

420 miles

Step-by-step explanation:

Distance traveled per hour = 55 miles

Distance traveled in 6 hours = 55 * 6 = 330 miles

Distance of the trip = 330 + 90 = 420 miles

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A quarterback completed 68% of his passes in a game. He threw 25 passes. How many passes did the quarterback complete?

Answers

$Find\ 68\%\ of \ 25\ passed\ threw\n\n68\%*25=0,68*25=17\n\nHe\ completed\ 17\ passes.$

A right triangle has legs with lengths 20 cm and 21 cm.What is the length of the hypotenuse?

---------------------- cm

Answers

to find the hypotenuse length you need to use the pythegorian therum and that will give you 29cm

Your answer is 29cm.

Hope this helps.

If sin x= (sqrt 2)/2 and tan x=-1 what is sec x

Answers

Answer:

$-(2)/(√(2))$ or $-√(2)$

Step-by-step explanation:

$\sec{x}$ is the reciprocal of $cos(x)$ , or in symbols: $\sec{x}=(1)/(cos(x))$ . $tan(x)$ is also the ratio of $sin(x)$ to $cos(x)$ , and we can multiply both sides of the equation $tan(x)=(sin(x))/(cos(x))$ by $(1)/(sin(x))$ to get the equation $(tan(x))/(sin(x))=(1)/(cos(x))$ . Of course, this is just the definition of $\sec{x}$ , so we can rewrite this fact as $\sec{x}=(tan(x))/(sin(x))$ .

In this problem, we're given that $sin(x)=(√(2) )/(2)$ and $tan(x)=-1$ , so plugging those two values into our equation gives us

$\sec{x}=(-1)/((√(2))/(2)) =-(2)/(√(2))$

We could leave our solution as $-(2)/(√(2))$ , or we could rationalize the denominator to get a solution of

$-(2)/(√(2))\cdot(√(2))/(√(2))=-(2√(2))/(2)=-√(2)$

Solve the equation for x
3/10x-1/5=1

Answers

Answer:

x=4

Step-by-step explanation:

$(3)/(10)x-(1)/(5)=1\n \n(3)/(10)x=(6)/(5) \n3x=12\nx=4$

Please simplify and show your work please

Answers

Hi Panda

m²/5f²/m/f³

= m²/5f^5m

= m/5f^5

I hope that's help:0

Suppose a triangle has two sides of length 3 and 4 and that the angle between these two sides is 60°. What is the length of the third side of the triangle?

Answers

There is many way how to get the length of a triangle. You can use many method but to your question the best method to use is Law of sine and cosine Side Angle Side triangle formula. This formula is this one (a^2 = b^+c^2-2bc*cos(angle)). So if your fill it up it would be (a^2 = 3^2+4^2-2*3*4*cos(60)). The answer would be 3.61

The length of the third side is 3.6 units

How to determine the length of the third sides?

Let the sides of the triangle be;

x, y and z

So, we have:

x = 3

y = 4

<Z = 60

The length of the third side is then calculated using the following law of cosine

z^2 = x^2 + y^2 - 2xy cos(Z)

So, we have:

z^2 = 3^2 + 4^2 - 2 * 3 * 4 * cos(60)

Evaluate the exponents and the product

z^2 = 9 + 16 - 12

Evaluate the sum and the difference

z^2 = 13

Take the square root of both sides

z = 3.6

Hence, the length of the third side is 3.6 units