For the answer to the question above,
The triangle can be divided into 2 right triangles with 10 cm base, 18 cm hypotenuse. We need to find the measure of the long side to get the height of the isosceles triangle.
a² + b² = c²
a² + (10cm)² = (18cm)²
a² = 324 cm² - 100 cm²
a² = 224 cm²
a = √224 cm²
a = 14.97 cm
Area = 1/2 * base * height
A = 1/2 * 20 cm * 14.97 cm
A = 149.70 cm²
A = r/2 * p
149.70 cm² = r/2 * (18cm+18cm+20cm)
149.70 cm² = r/2 * 56 cm
149.70 cm² ÷ 56 cm = r/2
2.67 cm = r/2
2.67 cm * 2 = r
5.34 cm = r
So the answer to this question is
<span>5.35 cm is the radius</span>
Here, we are required to determine the point where point H lie on the number line.
The point H is at point 2.5 on the number line.
The distance between point F and G on the number line is:
4 - (-2) = 6 numbers on the number line.
And since the ratio of FH to HG is 3:9
- Then, let point H be at no. X on the number line.
Therefore; FH/HG = (4 - x)/(x - (-2))
i.e 3/9 = (4 - x)/ (x +2).
By cross multiplication, 3x + 6 = 36 - 9x.
Therefore, 12x = 30
and, x = 2.5
Therefore, the point H is at point 2.5 on the number line.
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brainly.com/question/18329661
First turn 7 hours and 3/4 hours into a decimal number. This will help when doing equations (the work).
This means finding the decimal value of 3/4. 3 divided by four is .75, which means that's the decimal value. Now add 7.
The full decimal number is 7.75 hours.
Now, the question says you are two-thirds there, meaning you have one-third to get there, also known as 1/3.
What you can do to find how much longer the trip will take is divide 7.75 by 3 which will give you one-third of 7.75.
One-third of 7.75 is 7.75 divided by 3 which is approximately equal to 2.58.
Since the unit is hours, 2.58 represents 2.58 hours.
Therefore, the answer is that it will take 2.58 hours longer to get to Portland, Orgeon.
Remember to do a bit of studying, understand how the question can be solved, and doing procedures with fractions.
I hope this helped!
Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
= -3 - 2
= -5
Similarly, 
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence, 
= a + (n - 1)d [n = input value]
= 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,
= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7
