-2/3 is the simplified form of the expression -1/2 ÷ 3/4.
<h3>What is the simplified form of the given expression?</h3>
Given the expression in the question;
-1/2 ÷ 3/4
To divide by a fraction, multiply by its reciprocal.
-1/2 ÷ 3/4
Reciprocal of 3/4 is 4/3
Hence
-1/2 × 4/3
Next, we cancel out the common factor of 2
Factor out 2 from 4
-1/2 × 2(2)/3
-1/1 × 2/3
( -1 × 2 ) / ( 1 × 3 )
(-2) / (3)
-2/3
Therefore, the simplified form is -2/3
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Answer:
The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.
Step-by-step explanation:
In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.
The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.
In right angled triangle ABC with right angle at B.
Since we have to find the length of rope that is the value of side AC.
Using trigonometric ratios
Putting values,
We know, 
On solving we get,
AC= 20.0 ft
Thus, the length of rope is 20.0 ft
Hence, <u>option (1)</u> is correct.
Answer:
3
Step-by-step explanation:
f(x)=a*b^x - is a formula of exponential function
As we know the point (x=0; y=3) lies at the function's graph.
So we have to put in formula f(x)=a*b^x x=0 f(x)=y=3
3=a*b^0 (b^0=1) => 3=a*1 => 3=a
Answer:
A linear algebraic equation is nice and simple, containing only constants and variables to the first degree (no exponents or fancy stuff). To solve it, simply use multiplication, division, addition, and subtraction when necessary to isolate the variable and solve for "x". Here's how you do it: 4x + 16 = 25 -3x =
