Answer:
it‘s about
32.08 ft (if its not an answer choice try 32 or anywhere near that number)
Step-by-step explanation:
SO this is a simple example of triangles
We would need to find the heigh of the flagpole which is the leg of the triangle
The other side (14ft) is the 2nd leg of the triangle
And we know the hypotenuse is 35 ft
So we put that in Pythagorean Theroux and solve for the first missing leg
a^2+14^2=35^2
a^2+196=1225
a^2=1029
√1029 is about 32.08
So its about 32.08
Answer:
-7x³ - ⅑x - 1
Step-by-step explanation:
A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.
Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.
Thus, we would have:
✅-7x³ - ⅑x - 1
Answer:
<h3>#1</h3>
- tangent = opposite leg / adjacent leg
- tan ∠F = DE/ EF
- tan ∠F = 24/7
<u>Option D</u>
<h3>#2</h3>
Sine and cosine are same for complementary angles.
- Complementary of 67° is 90° - 67° = 23°.
- sine 67° = cosine 23°
Answer:
(p,r) = (1/3, 2/9)
Step-by-step explanation:
Here, we want to solve a system of equations
We can rewrite the second equation by dividing through by 2
So we have;
4p + 3r = 2
and
5p - 3r = 1
Add both equations:
9p = 3
p = 3/9
p = 1/3
Recall ;
5p - 3r = 1
3r = 5p - 1
Substitute the value or p here
3r = 5(1/3)-1
3r = 5/3 - 1
3r = 2/3
r = 2/9
So we have the solution set as;
(p,r) = (1/3 , 2/9)
Answer:
a)120
b)6.67%
Step-by-step explanation:
Given:
No. of digits given= 6
Digits given= 1,2,3,5,8,9
Number to be formed should be 3-digits, as we have to choose 3 digits from given 6-digits so the no. of combinations will be
6P3= 6!/3!
= 6*5*4*3*2*1/3*2*1
=6*5*4
=120
Now finding the probability that both the first digit and the last digit of the three-digit number are even numbers:
As the first and last digits can only be even
then the form of number can be
a)2n8 or
b)8n2
where n can be 1,3,5 or 9
4*2=8
so there can be 8 three-digit numbers with both the first digit and the last digit even numbers
And probability = 8/120
= 0.0667
=6.67%
The probability that both the first digit and the last digit of the three-digit number are even numbers is 6.67% !
