Answer:
24, 204
Step-by-step explanation:
to find the height
we would use the heron formula when all the sides are given
S which is equal to half of the perimeter of the triangle which is (a+b+c)/2.
S = (17+ 25+ 26)/2 = 68/2 = 34
Area = √S(S-A)(S-B)(S-C)
Area= (1/2)bh
we equate it back to the formula Area = √S(S-A)(S-B)(S-C)
it becomes
(1/2)bh = √S(S-A)(S-B)(S-C)
A = IABI= 25
B= IBCIM = 26
C= IACI = 17
b = base = IACI = 17
S = 34
(1/2)bh = √S(S-A)(S-B)(S-C)
(1/2)17h = √34(34-25)(34-26)(34-17)
(17/2)h = √34(9)(8)(17) = √34 x 9 x 8 x 17
(17/2)h = √41616 = 204
17h/2 = 204
17h = 204 x 2 = 408
h = 408/17 = 24 inch
height = h = IBDI = 24 in
Area = (1/2)bh
= (1/2) x 17 x 24
= 12 x 17 = 204 or we use the heron formula just like the above which we get 204 before multiplication by 2.
Answer:
<em>Probability ≈ 0.1071</em>
Step-by-step explanation:
Take combination and permutation into account;
![Total Number of Outcomes - 8C5,\\8 ! / 5! * ( 8 - 5 ) !,\\8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 / 5 * 4 * 3 * 2 * 1 * 3 * 2 * 1,\\\\Total Combinations = 56\\\\Number of Outcomes - 6C5,\\6 ! / 5! * ( 6 - 5 )! =\\\\Number of Outcomes = 6\\\\Conclusion; Probability = 5 / 56 = ( About ) 0.1071](https://tex.z-dn.net/?f=Total%20Number%20of%20Outcomes%20-%208C5%2C%5C%5C8%20%21%20%2F%205%21%20%2A%20%28%208%20-%205%20%29%20%21%2C%5C%5C8%20%2A%207%20%2A%206%20%2A%205%20%2A%204%20%2A%203%20%2A%202%20%2A%20%201%20%2F%205%20%2A%204%20%2A%203%20%2A%202%20%2A%201%20%2A%203%20%2A%202%20%2A%201%2C%5C%5C%5C%5CTotal%20Combinations%20%3D%2056%5C%5C%5C%5CNumber%20of%20Outcomes%20-%206C5%2C%5C%5C6%20%21%20%2F%205%21%20%2A%20%28%206%20-%205%20%29%21%20%3D%5C%5C%5C%5CNumber%20of%20Outcomes%20%3D%206%5C%5C%5C%5CConclusion%3B%20Probability%20%3D%205%20%2F%2056%20%3D%20%28%20About%20%29%200.1071)
<em>Solution; Probability ≈ 0.1071</em>
<u>Answers</u>
Part 1): 10³
Part 2): Ten cubed or
ten to the power of 3.
<u>Explanation </u>
Part 1
Figures written in exponent form means they should be in indices. That means they should be in power form.
10×10×10 = 10³.
Part 2
10³ ⇒ Ten raised to power 3. This can be written as ten cubed.
Answer:
45degrees
Step-by-step explanation:
The measure of angle WTV is 50°. The measure of angle STW is 95°. The measure of angle STV is x°. Find the value of x.
The expression is true for the angles
<STW = <WTV + <STV
<STV = <STW-<WTV
<STV = 95 - 50
<STV = 45degrees
Hence the measure of <STV is 45degrees