Answer:
Step-by-step explanation:
So in our case, let assume 'x' as a common factor.
Thus,
4x + 5x + 7x = 5600;
16x = 5600;
x = 5600/16 = 350.
So,
4x= 350*4 =1400;
5x= 350*5 = 1750; &
7x= 350*7 = 2450.
Your answer is, 5600 = 1400+1750+2450 which is in ratio of 4:5:7.
Answer:
9.4339 units
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under

Where


Replacing these values in the distance formula





Hence the distance is 9.4339 units
Answer:
the answer is C
Step-by-step explanation:
x is less than or equal to -4 or x is greater than or equal to 5
x <= -4 or x>= 5
There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality
for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets
Interval notation is (-∞ , -4]
for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5
Interval notation is [5 , ∞)
Now combine both notation by a 'U' symbol Union
(-∞ , -4] U [5 , ∞)
The altitude will be the geometric mean of the lengths, so

. The smaller leg is the hypotenuse of a right triangle sides 4 and

so the usual trig cliche, hypotenuse 8.
Answer: 8