Answer:
3.78
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 9 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=9$.
Step 4: In the same vein, $x\%=42$.
Step 5: This gives us a pair of simple equations:
$100\%=9(1)$.
$x\%=42(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{9}{42}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{42}{9}$
$\Rightarrow x=466.67\%$
Therefore, $42$ is $466.67\%$ of $9$.
In geometry, transformation involves changing the position and/or size of a shape.
<em>The transformation that will change the size of ABCD is dilation.</em>
There are four transformations in geometry:
- Translation
- Reflection
- Rotation
- Dilation
Of all types of transformation, dilation will change the size of the shape,
The new shape will either be enlarged or reduced
<em>Either ways, the size of the shape will be altered.</em>
<em>When the size is altered, the perimeter will not remain the same.</em>
<em />
Hence. dilation will change the perimeter of ABCD.
Read more about transformations at:
brainly.com/question/11709244
Answer:
8.34/1
Step-by-step explanation:
Answer:
f(x) = sec x. tan x
⇔ f(x) = 1/cosx . cosx/sinx
⇔ f(x) = sin x
+) when f(x) is increasing => sin x increases
=> x will increase
+) f(x) is decreasing => x will decrease
+) f(x) is concave up => x ∈ (-pi/2; 0)
+) f(x) concave down => x ∈ (0; pi/2)
Step-by-step explanation: