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zlopas [31]
3 years ago
10

Robert is 14 years old and his dad is 38 years old. How many years ago was his dad exactly 7 times as old as Robert

Mathematics
1 answer:
evablogger [386]3 years ago
7 0
When robert was 4 years old so 10 years ago, i’m not that good at math but i’m pretty sure that’s the answer
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In right ∆ABC the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find BC if AD = 8 cm and DH = 4 cm.
alina1380 [7]
Check the picture below.

notice that the triangle ADH, since the segment AL is an angle bisector, meaning  it cuts the angle A in two equal halves, then the triangle ADH is only using half of A.

5 0
3 years ago
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A luxury liner leaves a port on a bearing of 110 degrees and travels 8.8 miles. It then turns due west and travels 2.4 miles. Ho
myrzilka [38]

Answer:

Distance= 6.6 miles

Bearing= N 62.854°W

Step-by-step explanation:

Let's determine angle b first

Angle b=20° (alternate angles)

Using cosine rule

Let the distance between the liner and the port be x

X² =8.8²+2.4²-2(8.8)(2.4)cos20

X²= 77.44 + 5.76-(39.69)

X²= 43.51

X= √43.51

X= 6.596

X= 6.6 miles

Let's determine the angles within the triangle using sine rule

2.4/sin b = 6.6/sin20

(2.4*sin20)/6.6= sin b

0.1244 = sin b

7.146= b°

Angle c= 180-20-7.146

Angle c= 152.854°

For the bearing

110+7.146= 117.146

180-117.146= 62.854°

Bearing= N 62.854°W

8 0
3 years ago
Solve for t: d=rt. I need some help.
Elena L [17]
D = rt
/r    /r

D/r = T

*sample text*

7 0
3 years ago
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Solve For Each Variable.
bixtya [17]

The first equation given 6=1-2n+5

We have to add 1 and 5 to the right side first. We will get,

6= 6 - 2n

To get rid of 6 from the right side we have to subtract 6 from both sides.

6-6 = 6-6-2n

6-6 = -2n

0=-2n

To find n we have to move -2 to the other side by dividing both side by -2.

0/-2 = -2n/-2

0= n

n=0

So we have got the required answer for the first question.

The solution is n = 0.

The second equation given,

8x-2 = -9+7x

First we have to move 7x to the left side by subtracting it from both sides.

8x-7x-2 = -9+7x-7x

8x-7x-2 = -9

x-2 = -9

Now we have to move -2 to the right side by adding 2 to both sides.

x-2+2 = -9+2

x = -9+2

x = -7

We have got the required answer for the second question.

The solution is x = -7.

The third equation given,

-8 = -(x+4)

We have to get rid of that negative sign from both sides. As we have negative sign to both sides we can cancel it out. We will get,

8=x+4

Now we have to move 4 to left side by subtracting it from both sides.

8-4 = x+4-4

8-4 = x

4=x

x = 4

So we have got the required answer .

The solution is x = 4.

3 0
2 years ago
What is the correct domain for a log function?<br> A=(-∞,0]<br> B=[0,∞)<br> C=(-∞,0)<br> D=(0,∞)
masha68 [24]

f(x)=\log(x)\\\\Domain:\\\\x > 0\to x\in(0,\ \infty)\\\\Answer:\ \boxed{D=(0,\ \infty)}

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3 years ago
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