MATHEMATICS HIGH SCHOOL

The diagram shows a vertical tower DC on a horizontal ground ABC. ABC is a straight line.

The angle of elevation of D from A I'd 28°.

The angle of elevation of D from B is 54°.

AB=25m

Calculate the height of the tower.

Give your answer in 3 significant figures.

I need working out. Plz help me.
The diagram shows a vertical tower DC on a horizontal - 1

Answers

Answer 1
Answer: the measure of ABD=180°- 54°=26°
and then the measure of ADB= x
and x + 26° + 28°= 180°, sum of anlgle in a triagle property
 it means x= 180°- 26-28=126°
application of sinus law in the triangle

sin 28 / BD = sin 126/ AD = sin 26/ 25 so we can deduce that 

AD= 25sin126 / sin26= 46.12
let 's consider the triangle ADC, so for finding h, we have sin 28 = h / AD
and then h = AD x sin28=21.65

Calculate the height of the tower is 21.65

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!What is the sum of the first 7 terms of the series − 3 + 6 − 12 + 24 −... ?

Answers

Answer:   -129

Step-by-step explanation:

Given the sequence {-3, 6, -12, 24, ... }, we can see that the first term (a) is -3 and the ratio (r) is (6)/(-3) = -2.  

Input those values into the Sum formula:

S_n=(a(1-r^n))/(1-r)\n\nS_7=(-3(1-(-2)^7))/(1-(-2))\n\n.\quad=(-3(1-(-128)))/(1+2)\n\n.\quad=(-3(1+128))/(3)\n\n.\quad=(-3(129))/(3)\n\n.\quad=-129

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.What is the multiplicative rate of change of the exponential function represented in the table?

1.5
2.25
3.0
4.5

Answers

The rate of change for the given function is 2.25. Therefore, option B is the correct answer.

What is rate of change of a function?

The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.

From the given table, we have (1, 4.5), (2, 6.75), (3, 10.125) and (4, 15.1875).

Using coordinate points (1, 4.5) and (2, 6.75), we get

Rate of change = (6.75-4.5)/(2-1)

= 2.25

Therefore, option B is the correct answer.

Learn more about the rate of change here:

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Answer:

its 3.0

Step-by-step explanation:

ik bc i took the test

115%of what number is 84.87

Answers

100% - x 115% - 84.87 x=(100*84.87)/115=73.8

X2+4x+3=0 what is the quadratic

Answers

\sf\ For\ ax^2+bx+c=0\ the\ quadratic\ formula\ is\ x=\frac{-b\± \sqrt{b^(2)-4ac} }{2a}.\nYou\ can\ use\ this\ formula\ to\ solve\ the\ problem.\n\n\n\nI'm\ presuming\ that\ your\ equation\ is\ x^2+4x+3=0\n\n\n\na=1\n\n\ b=4\n\n c=3\n\n\n\nPlug\ it\ in\ the\ quadratic\ formula.\n\n\n\nx=\frac{-b\± \sqrt{b^(2)-4ac} }{2a}\n\nx=\frac{-(4)\± \sqrt{(4)^(2)-4(1)(3)} }{2(1)}\n\nx=(-4\± √(16-4(3)) )/(2)\n\nx=(-4\± √(16-12) )/(2)\n\nx=(-4\± √(4) )/(2)\n\nx=(-4\±2)/(2)


\sf\ So\ now\ we\ have\ x=(-4+2)/(2)\ and\ x=(-4-2)/(2).\n\n\n\nx=(-4+2)/(2)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=(-4-2)/(2)\n\nx=(-2)/(2)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=(-6)/(2)\n\nx=-1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-3\n\n\n\n{\boxed{\sf\ x=-1\ \ or\ \ x=-3}

Write log3 6 as a logarithm of base 2.1) (log2)3/(log2)6
2) (log2)6/(log2)3
3) (log3)2/(log6)2
4) (log6)2/ (log3)2 ...?

Answers

The answer is 2) (log2)6/(log2)3.

Use the change-of-base formula: log_a(x)= (log_b(x))/(log_b(a))

So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:
log_3(6)= (log_2(6))/(log_2(3))

The correct expression for log3 6 as a logarithm of base 2 is option 1) (log₂ 3) / (log₂ 6).

To express log₃ 6 as a logarithm of base 2, we can use the change of base formula. The change of base formula states that logb x = (logc x) / (logc b), where c is any positive value other than 1.

Applying the change of base formula to log3 6:

log₃ 6 = (log₂ 6) / (log₂ 3)

Therefore, the correct expression for log3 6 as a logarithm of base 2 is option 1) (log₂ 3) / (log₂ 6).

To calculate it properly, we need to find the decimal approximation of this expression:

Using the appropriate logarithmic functions, we have:

(log₂ 3) / (log₂ 6) ≈ 1.58496 / 2.58496 ≈ 0.6124

Thus, log₃ 6 as a logarithm of base 2 is approximately 0.6124.

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Any large random sample from a group of people will be representative of the entire group.True
False

Answers

False.

In a random sample each member of the group has the same chances to be choosen. A representative sample replicates the characteristcs that you want of the group. Many times you need to make the sampling not random to pick a sample that represents or replicates the group.
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