Answer:
D
Step-by-step explanation:
When somethin is decreasing you would subtract the percent it was decreasing by, by 1.
.024 - 1 = .976
Answer:
The value of DC is 66.34.
Step-by-step explanation:
The triangles ABC and DCA are right angled triangles.
The straight line AC is a bisector for angles C and A.
The measure of ∠C is 30°.
Then the measure of angles BCA and ACD will be 15° each.
The measure of angle DAB is 150°.
Then the measure of angles DAC and BAC will be 75° each.
Now consider the right angled triangle ABC.
The measure of side AC is:
![AC^{2}=AB^{2}+BC^{2}\\AC=\sqrt{AB^{2}+BC^{2}}\\=\sqrt{4^{2}+(10\sqrt{3})^{2}}\\=\sqrt{316}](https://tex.z-dn.net/?f=AC%5E%7B2%7D%3DAB%5E%7B2%7D%2BBC%5E%7B2%7D%5C%5CAC%3D%5Csqrt%7BAB%5E%7B2%7D%2BBC%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B4%5E%7B2%7D%2B%2810%5Csqrt%7B3%7D%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B316%7D)
Consider the right angled triangle DCA.
The angle DAC measure 75°.
Using the trigonometric identities compute the value of Perpendicular DC as follows:
![tan\ 75^{o}=\frac{DC}{\sqrt{316}}\\\\DC=3.732\times\sqrt{316}\\\\DC=66.34](https://tex.z-dn.net/?f=tan%5C%2075%5E%7Bo%7D%3D%5Cfrac%7BDC%7D%7B%5Csqrt%7B316%7D%7D%5C%5C%5C%5CDC%3D3.732%5Ctimes%5Csqrt%7B316%7D%5C%5C%5C%5CDC%3D66.34)
Thus, the value of DC is 66.34.
Answer: 24
To calculate with long division when the divisor is a decimal, add zeroes in both the dividend and divisor. This means you get 360 ÷ 15.
From here, just do normal calculation and you get 24 as your answer.