Let 1st integer be x and next consecutive be x+1
1/2•x + 1/5•(x+1) = 10
x/2 + x/5 + 1/5 = 10
-1/5 -1/5
x/2 + x/5 = 49/5
(x/2)•5/5 + (x/5)•2/2 = 49/5
5x/10 + 2x/10 = 49/5
7x/10 = 49/5
•10 •10
7x = 98
÷7 ÷7
x = 14 --> 1st integer
x+1 = 14+1 = 15 --> next consecutive integer
Answer:
Jeff got 20 answers right.
Step-by-step explanation:
The maximum number of points Jeff can get is 100. (25 * 4) However, for each question he gets wrong, he's actually losing 6 points because he doesn't get the four points for getting right, and has the additional -2 points for getting it wrong. Since he only got a score of 70, that means he lost 30 points.
30/6 = 5. So he missed 5 question and got 20 question right.
The area of the triangle can be calculated through the equation,
A = sqrt ((s)(s - a)(s - b)(s - c))
where A is area, s is the semiperimeter ((a + b + c)/2), a, b, and c are the sides given above.
The presented equation above is the Heron's formula.
Substituting the known values,
s = (8.7 + 10.1 + 9.8) / 2
s = 14.3
A = sqrt ((14.3)(14.3 - 8.7)(14.3 - 10.1)(14.3 - 9.8))
<em>A = 38.9 units squared
</em>Thus, the answer to this item is not among the choices. <em>
</em>
Answer:
OPTION C: Sin C - Cos C = s - r
Step-by-step explanation:
ABC is a right angled triangle. ∠A = 90°, from the figure.
Therefore, BC = hypotenuse, say h
Now, we find the length of AB and AC.
We know that:
and
Given, Sin B = r and Cos B = s
⇒
⇒
Hence, the length of the side AC = rh
Now, to compute the length of AB, we use Cos B.
⇒
Hence, the length of the side AB = sh
Now, we are asked to compute Sin C - Cos C.
⇒
= s
Sin C = s
⇒ Cos C =
Therefore, Cos C = r
So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.
Answer:
B.
Step-by-step explanation:
painting a increases expoonentially
1.05(A value)= N
same for painting b by 1.02x
but a increases .3 %more