1) 8 is a relatively small proportion of 24, so the length of the unknown side of each right triangle will be only a little less than 24. The value of x is double this. The only answer choice that makes sense is ...
45.25
2) The geometric mean is the square root of the product.
=√(9*16) = 3*4 = 12
3) The value of x must be between 9 and about 1.4 times 9, so the only answer that makes sense is
11.40
If you work through the math of the Pythagorean theorem, this choice is confirmed. x = √(9²+7²) = √130 ≈ 11.401754...
4) As with problem 3, the answer must lie between 5 and about 1.4*5 = 7. The only choice that makes sense is
5.83
Once again, if you work through the math, x = √(5²+3²) = √34 ≈ 5.83095189...
_____
If you remember that the hypotenuse of an isosceles right triangle is √2 ≈ 1.4 times the length of one side, you can often bound the possible answers to right triangle problems without doing much work at all. If the ratio of side lengths is smaller than 1:1, the length of the hypotenuse gets closer to the length of the longest leg.
Answer:
-9 is the answer
Step-by-step explanation:
So we know that the temperature was 2 degrees Fahrenheit in the morning. It dropped by 11 degrees, meaning -11 degrees.
2 + (-11) = ?
2+ (-11) = -9
When he woke up, the temperature was -9 degrees.
Hope this helped :)
Answer:
F(x)=+7cosh(x)+C
Step-by-step explanation:
The function is f(x)=3ˣ+7sinh(x), so we can define it as f(x)=g(x)+h(x) where g(x)=3ˣ and h(x)=7sinh(x).
Now we have to find the most general antiderivative of the function this means that we have to calculate wich is the same as
The sum rule in integration states that the integral of a sum of two functions is equal to the sum of their integrals. Then,
=
1- this is because of the rule for integration of exponencial functions, this rule is:
, in this case a=3
2-
, number seven is a constant (it doesn´t depend of "x") so it "gets out" of the integral.
The result then is:
F(x)=
The letter C is added because the integrations is undefined.
Answer:
D. 1,344 in^2
Step-by-step explanation:
The area of the standard placemats is 84 in^2. To make 6 we need to multiply that by 6. 84 in^2*6 is 1,344 in^2. Please rate brainliest. It would really help!