<h3>
Answer: 25</h3>
Through using the pythagorean theorem, you should find the hypotenuse of the smaller triangle to be 10 units. Therefore, the perimeter of the smaller triangle is 6+8+10 = 24 units.
The perimeter of the larger triangle is 60 units. The ratio here is 24:60 = 2:5
Meaning that the larger perimeter is 5/2 = 2.5 times that of the smaller.
We apply this scale factor 2.5 to the smaller hypotenuse 10 to jump to 2.5*10 = 25, which is the length of the larger hypotenuse.
Answer:
6 black pieces
10 red pieces
Step-by-step explanation:
The way to interpret ratios is like so:
Adding up both parts of the ratio gives 8, i.e. 3 + 5
So for every 8 pieces, 3 are black and 5 are red;
There are 16 pieces, which is 2 × 8;
So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red
So, to solve:
Add all parts of the ratio (3 + 5);
Divide the number of pieces (16) by this sum of ratio parts (8);
Multiply the value from the division (2) by each part of the ratio
Tip:
It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;
If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black
Step-by-step explanation:
Let's call L the length and W the width. The length is 10 feet longer than the width, so:
L = W + 10
The area is the length times width, so:
119 = LW
Substituting:
119 = (W + 10) W
119 = W² + 10W
0 = W² + 10W − 119
0 = (W + 17) (W − 7)
W = -17 or 7
Since W must be positive, W = 7.
L = W + 10
L = 17
The length and width are 17 feet and 7 feet, respectively.
Answer:
Range is : { -10, -7, -5, -2 }
Step-by-step explanation:
Given:
The function is given as:
The domain of the function = { -3, 0, 2, 5 }
A function's input is called its domain and a function's output is called its range.
The range depends on the domain values. So, the values of 'y' are the values of range and the values of 'x' are the values of domain.
Here, the domain is given as:
Domain = { -3, 0, 2, 5 }
We need to find the values of 'y' for each value of 'x' taken from the domain set.
Plug in 
. This gives,
Plug in 
. This gives,
Plug in 
. This gives,
Plug in 
. This gives,
Therefore, the set of all values of 'y' is the range.
Range is equal to { -10, -7, -5, -2 }.
The angle that is obtuse is 1, because it is greater than 90°.
Hope this helps and have a nice day:)
