Answer:
Base = 10 cm
Height = 60 cm
Step-by-step explanation:
The formula for the area of a triangle is
, where <em>b</em> is the length of the base of the triangle, and <em>h</em> is the length of the height of the triangle.
We know the area is 300, and since the height of the triangle is 6 times its base, we know that
. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:
![300=\frac{1}{2} *b*(6*b)](https://tex.z-dn.net/?f=300%3D%5Cfrac%7B1%7D%7B2%7D%20%2Ab%2A%286%2Ab%29)
![3b^2=300](https://tex.z-dn.net/?f=3b%5E2%3D300)
![b=\sqrt{100} =10](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B100%7D%20%3D10)
The base of the triangle is 10 centimeters.
Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:
![300=\frac{1}{2} *10*h](https://tex.z-dn.net/?f=300%3D%5Cfrac%7B1%7D%7B2%7D%20%2A10%2Ah)
![5h=300](https://tex.z-dn.net/?f=5h%3D300)
![h=60](https://tex.z-dn.net/?f=h%3D60)
The height of the triangle is 60 centimeters.
Answer:
1) 675,000.
2) 356,000
Step-by-step explanation:
There are some rules to round off to the nearest thousand.
1. While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’.
2. If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by ‘0’ and the thousands place is increased by 1.
We have given two numerals:
1)<u> 674,620</u>
According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.
The answer is 675,000.
2) <u>355,500</u>
According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.
The answer is 356,000....
![\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}](https://tex.z-dn.net/?f=%5Clarge%5Cdisplaystyle%5Ctext%7B%24%5Cbegin%7Bgathered%7D%5Csf%207x-2%28x%2B1%29%3D6x%2B4%20%5Cend%7Bgathered%7D%24%7D)
Use the distributive property to multiply −2 by x+1.
Combine 7x and −2x to get 5x.
Subtract 6x on both sides.
Combine 5x and −6x to get −x.
Add 2 to both sides.
Add 14 and 2 to get 16.
Multiply both sides by −1.
<h2>{ Pisces04 }</h2>
The measure of MN from the diagram is 6
<h3>Similarity theorem of triangles</h3>
From the given triangle, the expression below is true;
ML/LK = MN/NO
Given the following parameters
ML = 4
LK = 10
NO= 15
Substitute the given parameters into the formula
4/10 = MN/15
Cross multiply
10MN = 4 * 15
10MN = 60
MN = 6
Hence the measure of MN from the diagram is 6
Learn more on similar triangles here: brainly.com/question/14285697