Answer:
every integer is a whole number
Check the picture below.
ok, notice the volume of the smaller cube forming the larger cube. Keeping in mind that the larger cube has 90 of those small ones.
Step-by-step explanation:
2-5/4x=13
- (8x-5)/4x=13
- 8x-5=52x
- -5=52x-8x
- -5=44x
- x=-5/44
Answer:
7/11
Step-by-step explanation:
<h3>
Since one of the blue marbles are gone, there 4 blue marbles and 7 orange marbles. To pick an orange marble, the probability is the number of orange marbles over the total marbles. This equals to 7/11.</h3>
Given:
A rope tied from a tent pole to a stake in the ground forms 55 degrees angle with the ground.
The pole is 3 feet from the stake.
To find:
The length of the rope to the nearest tenth of a foot.
Solution:
First draw a diagram according to the given information as shown below.
We know that, in a right angled triangle,
![\cos \theta = \dfrac{Base}{Hypotenuse}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cdfrac%7BBase%7D%7BHypotenuse%7D)
In triangle ABC,
![\cos 55^\circ=\dfrac{BC}{AC}](https://tex.z-dn.net/?f=%5Ccos%2055%5E%5Ccirc%3D%5Cdfrac%7BBC%7D%7BAC%7D)
![0.573576=\dfrac{3}{AC}](https://tex.z-dn.net/?f=0.573576%3D%5Cdfrac%7B3%7D%7BAC%7D)
![AC=\dfrac{3}{0.573576}](https://tex.z-dn.net/?f=AC%3D%5Cdfrac%7B3%7D%7B0.573576%7D)
![AC=5.23034](https://tex.z-dn.net/?f=AC%3D5.23034)
![AC\approx 5.2](https://tex.z-dn.net/?f=AC%5Capprox%205.2)
Therefore, the length of the rope is 5.2 foot.