Find x. Question 1 options: 6 3 9 12

A pole that is 2.7 m tall casts a shadow that is 1.76 m long. At the same time, a nearby building casts a shadow that is 44.25 m

natali 33 [55]

Answer:

81

Step-by-step explanation:

9x9

2x2

5 0

2 years ago

Read 2 more answers

hile sitting in physics class one day, you begin to ponder the workings of the analog clock on the classroom wall. You notice as

PSYCHO15rus [73]

Answer:

Second hand will turn through 74π radians.

Step-by-step explanation:

There are 37 minutes left in the class. We need to find by how much angle will the second hand turn before the end of the class.

When a second hand completes one full rotation along the clock it covers 360 degrees and completes 60 seconds.

This means:

In 60 seconds, the second hand turns by 360 degrees

Since, 60 seconds = 1 minute, we can write:

In 1 minute, the second hand turns = 360 degrees

360 degrees is equal to 2π radians. So,

In 1 minute, the second hand turns = 2π radians

Multiplying both sides by 37 gives us:

In 37 minutes, the second turns = 2π radians x 37 = 74π radians

8 0

2 years ago

Suppose a solitaire player has played 1000 games. Predict how many times the play turned over a red card as the first card

olga nikolaevna [1]

About 500 times since there is a 50/50 chance

i think that is right

5 0

3 years ago

Read 2 more answers

The sum of a number and 3 is equal to 5 less than double that number. What is the number?

Ganezh [65]

Answer:

sum of a number 2 plus3 is equal to 5

and less than its double 2×2=4 so the answer is 2

3 0

2 years ago

Read 2 more answers

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

3 years ago