Answer:
How far (nearest foot) will it be from home plate to second base, assuming he builds it to that specification? ... A square lot has an area of 1,200 square meters. .... Therefore, we can use the Pythagorean Theorem to solve for the diagonal:.
Step-by-step explanation:
Answer:
x= 3sqrt2 y=3
Step-by-step explanation:
The triangle is isosceles triangle, which means 2 sides are congruent. Therefore, y =3
using the pythagorean theorem,
3^2+3^2=x^2
9+9=x^2
18=x^2
x=18 sqrt
3sqrt2
Answer:
(B). between 2.5 and 3.0 and between 4.0 and 4.5.
Step-by-step explanation:
According to the Question,
- If the value of the function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersects the x-axis at its zeroes.
From the given table it is clear that the value of function are
x | f(x) | Sign
2.0 | 2.8 | Positive
2.5 | 1.1 | Positive
3.0 | –0.8 | Negative
3.5 | –1.2 | Negative
4.0 | –0.3 | Negative
4.5 | 0.7 | Positive
- The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5. It means the graph of function must intersect the x-axis in intervals 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.
Therefore, the correct option is B.
Answer:
Value of x is 88
Step-by-step explanation:
We have,
Percentage of lentils in the soup = 36% = 0.36
Fraction of the lentils which are green = 
Thus, the amount of green beans in the soup are = 
= 
= 0.36 × 33.3 = 11.99 ≅ 12.
So, the percentage of the green beans = 12%
The percentage of the original beans in the soup = (100-12)% = 88%
Hence, the value of x is 88.
Answer:
0.89 J/g/°C
Step-by-step explanation:
The Heat gained by an object is given in terms of specific heat capacity as:
H = mc(T2 - T1)
where m = mass of the object
c = specific heat capacity
T2 = final temperature
T1 = initial temperature
50 g of an unknown metal takes 1112.5 J of energy to change its temperature from 20°C to 45°C.
This implies that:
1112.5 = 50 * c * (45 - 20)
1112.5 = 50 * c * 25
1112.5 = 1250 * c
=> c = 1112.5 / 1250
c = 0.89 J/g/°C
The specific heat capacity of the metal is 0.89 J/g/°C
