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2 years ago

Given the diagram below, find the height of the shorter tree.

Mathematics

1 answer:

rusak2 [61]2 years ago

3 0

Answer:

h = 13 m

Step-by-step explanation:

The triangles are similar, so the ratios of corresponding sides are equal, that is

$\frac{h}{39}$ = $\frac{16}{48}$ = $\frac{1}{3}$ ( cross- multiply )

3h = 39 ( divide noth sides by 3 )

h = 13

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Solve the system using elimination.

Zarrin [17]

The solution is (1,2)

Step-by-step explanation:

7x + 10y = 27

x - 10y = -19 +--------------------

8x = 8

Divide by 8 on both sides

x = 1

To find y substitute any of the equations to 1

7(1) + 10y = 27

7 + 10y = 27

Substract 7 from both sides

10y = 20

Divide by 10

y = 2

7 0

2 years ago

What does angle x equal ??

Ludmilka [50]

X equals 38. That means, angle R is 38, angle P is 69, and angle Q is 73.

You get x=38 by doing x+35+x+2x-7 = 180

*Hope this helps!*

8 0

3 years ago

Help I need it now!! T14= 46, and t20= 100, find t3, t7, and tn

Vinil7 [7]

Answer:

$t_3 = -53\\\\\\t_7 = -17\\t_n= -80 +9n$

Step-by-step explanation:

Arithmetic sequence:

$\sf \boxed{t_n=a+(n-1)d}$

Here a is the first term and d is the common difference.

$t_{14}= 6$ ⇒ $\sf a + 13 d = 46$ ------------(I)

$\sf t_{20} = 100$ ⇒ a + 19d = 100 ---------(II)

Subtract equation (I) from (II)

(I1) a + 19d = 100

(II) a + 13d = 46

- - -

6d = 54

d = 54 ÷ 6

$\sf \boxed{d = 9}$

Substitute d = 9 in equation(I) and find 'a',

a + 13*9= 46

a + 117 = 46

a = 46 - 117

a = -71

$\sf t_3 = -71 + 2*9$

= -71 + 18

= -53

$\sf t_7 = -71 + 6*9$

= -71 + 54

= -17

$\sf t_n= -71 + (n-1)*9$

= -71 + 9*n - 1 *9

= -71 + 9n - 9

= -71 - 9 + 9n

= - 80 + 9n

5 0

11 months ago

I will gave brainestly

hammer [34]

Answer:

Hello !

The solutions are: -8 , -4 , 6

Hope this helps !

3 0

2 years ago

If T(n)=6n-1what is the first term

OleMash [197]

So if you find the 1st term, you should write 1 instead of n
T1 = 6.1 -1
T1= 6-1
T1= 5
Hope it helps!
#MissionExam001

3 0

2 years ago