A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.

Answer: B

Step-by-step explanation:

Acute isosceles: angle less than 90, 2 equal sides

Right scalene: right angle, different side lengths

RIght isosceles: right angle, 2 equal sides

Acute scalene: angle less than 90, different side lengths

Answer:

15n^2 as it the highest expression that is common among these three.

Answer:

b

Step-by-step explanation:

i had it

Answer:

its 3

Step-by-step explanation:

3 is your answer I hope this help

Answer:

i don' know

Step-by-step explanation:

Given:

The graph of a linear inequality.

The boundary line passes through the points (0,-2) and (1,1), and the shaded region lies above the boundary line.

To find:

The inequality for the given graph.

Solution:

The boundary line passes through the points (0,-2) and (1,1), so the equation of the boundary line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{1-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=\dfrac{1+2}{1}(x)[/tex]

[tex]y+2=3x[/tex]

Subtract 2 from both sides.

[tex]y=3x-2[/tex]

The boundary line is a solid line and the shaded area lies above the boundary line, so the sign of inequality must be [tex]\geq [/tex].

[tex]y\geq 3x-2[/tex]

Therefore, the required inequality is [tex]y\geq 3x-2[/tex].

Answer:

y>3x-2

Step-by-step explanation:

.............................

Answer:

37degrees

Step-by-step explanation:

In order to get the required angle, we will use the SOH, CAH, TOA identity.

Let;

Adjacent = 60m

Opposite = 45m

According to TOA:

tan theta = opp/adj

tan theta = 45/60

tan theta = 0.75

theta = arctan 0.75

theta =  36.86

Hence the  angle, to the  nearest degree, between her path and the longest side of the playground is 37degrees

Answer:

(x-13)^2+(y+16)^2=12.56

Step-by-step explanation:

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)  where l is the length and w is the width

  =2( 7h+8 + 2h-6)

Combine like terms

  = 2( 9h+2)

Distribute

   = 18h +4

Answer:

Step-by-step explanation:

Just using pythagorean theorem,

13.2²+16.9²=c²

174.24+285.61=c²

c²=√459.85

c= 21.4441134114

c = 21.4 (nearest tenth)

Answer:

[tex]7^{7}[/tex]  =  823543

the unit position (the first) is equal to "3"

Step-by-step explanation:

Answer:

number to get a better price

Answer:

if I'm not wrong,then this is the equation

Step-by-step explanation:

CP=5000

SP=5085

VAT=13℅

now,

VAT amount=VAT℅ OF SP

=13℅ OF 5085

=13/100*5085

=rs.661.05

again,

profit℅= SP-CP/CP*100℅

=85/500*100

=17℅ answer

Step-by-step explanation:

here's the answer to your question

Answer:

x = -4.7

Step-by-step explanation:

√4x+9 = 1-√2

2x + 9 = 1 - √2

2x = -8 - √2

2x / 2 =  -8 - √2 / 2

x = -4.7

Answer:

$6.50

Step-by-step explanation:

Let the cost of a bowl and a jug be $b and $j respectively.

3b +j= 13.70 -----(1)

j= b +4.10 -----(2)

Substitute (2) into (1):

3b +b +4.10= 13.70

4b +4.10= 13.70 (simplify)

4b= 13.70 -4.10 (-4.10 on both sides)

4b= 9.60

b= 9.60 ÷4 (÷4 on both sides)

b= 2.40

Substitute b= 2.40 into (2):

j= 2.40 +4.10

j= 6.50

Thus, the jug costs $6.50.

Answer:

good evening good evening good evening good evening

Step-by-step explanation:

w

Answer:

∠b = 54°

they add up to 180

7x + 14 + 5x - 26 = 180

12x = 192

x=16

thus ∠b = 54°

Step-by-step explanation:

Step-by-step explanation:

The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.

HOPE IT HELPS YOU

MARK ME BRAINLIEST

Answer:

B, C, D

Step-by-step explanation:

In this problem, the range is what the output, or y, can be. The origin, or the middie of the graph, is when x=0 and y=0. From the 10s on the screen, we can gather that 5 lines = a distance of 10 on the graph. Using this information, we can say

5 lines = distance of 10

divide both sides by 5 to find the distance for each line

1 line = distance of 2

The function goes from y=0 to three lines down, for a distance of 6. The range is therefore [-6,0] as all values from -6 to 0 on the y axis are included on the graph, including 0 and -6. In this range, -6, -2, and -1 are all included.

Answer:

Step-by-step explanation:

When we take an average of something, we have to add up all the data on the somethings and then divide by the number of somethings we have. Ed takes 5 tests, and we have scores for them; we also have his current average. What we don't know for sure are 2 of the 5 test scores, but we have enough to determine what they are.

If one test has a score of x, and the other test is 3 points less than that, the score on that last test is x - 3. Putting all of that together into an average problem:

[tex]\frac{87+85+87+x+(x-3)}{5}=90[/tex] and simplfiying a bit:

[tex]\frac{256+2x}{5}=90[/tex]. Multiply both sides by 5 to get

256 + 2x = 450; subtract 256 from both sides to get

2x = 194 and divide by 2:

x = 97

The one test score was a 97 and the other one, which was 3 less than that, was a 94.

Answer:

The stream's speed is 2 km/hr. We don't need to know the distance.

Step-by-step explanation:

Let the stream's speed = x

rate * time = d

The distance is the same going upstream as it is coming back down stream.

d_upstream = d_downsteam

(8 + stream)*3 = (8 - stream)*5

(8 + x)*3 = (8 - x)*5                    Remove the brackets

24 + 3x = 40 - 5x                      Subtract 24 from both sides.

3x = 40 - 24 - 5x

3x = 16 - 5x                               Add 5x to both sides

3x + 5x = 16

8x = 16                                      Divide by 8

x = 16/8

x = 2

Answer:

50m

Step-by-step explanation:

speed (m/s2) = distance (m) ÷ time (s)

distance = speed (m/s2) x time (s)

1x20 =20m.

30s = 30m because they do 1 meter per second (every second)

50m in total if not counting the constant for half a hour.

Answer:

40 feets

Step-by-step explanation:

Given that :

Person's height = 5feet 6 inches ;

Person's height in inches ;

1 foot = 12 inches ;

5 feets = (12 * 5) = 60 inches

Person's height = 60 + 6 = 66 inches

Height of person's shadow = 16.5 inches

Height of post shadow = 120 inches

Height of goal post = x

(Height of goal post / height of post shadow) = (person's height / person's shadow)

x / 120 = 66 / 16.5

Cross multiply :

16.5x = 120 * 66

16.5x = 7920

x = 7920 / 16.5

x = 480 inches

To feets ;

1 foot = 12 inches

480 inches = 480/12 feets = 40 feets

Answer:

28.3

Step-by-step explanation:

tan = opposite/adjacent

tan (58) = 1,600335

opposite = tan * adjacent  

opposite = 1,600335 * 15 = 24,005018

For the Pytagorean theorem

x = √24,005018^2 + 15^2 = 28,306199 = 28.3

Answer: 20(y)+2(x) = 20(2) + 2(9) = 40 + 18 = 58

Answer:

58

Step-by-step explanation:

If y=20 and X=9, then the equation=20 × 2 + 2 ×9= 40 + 18=58.

Answer:

A) 5

Step-by-step explanation:

51+48+15x+6=180

105+15x=180

15x=75

x=5

Answer:

Size of each monthly payment = $161.69 per month

Step-by-step explanation:

Given:

Value of property = $20,000

Downpayment = 20%

Number of payment = 12 x 10 = 120

Interest rate = 4% = 4% / 12 = 0.33 %

Computation:

Loan balance = 20,000 - 20%

Loan balance = $16,000

A] Size of each monthly payment [In Excel]

Size of each monthly payment = PMT(0.33%,120,16000,0)

Size of each monthly payment = $161.69 per month

Answer:

y = 1/3x + 2

Step-by-step explanation:

Answer:

33π square feet

Step-by-step explanation:

Volume = base area × height

132π = base area × 4

or, base area = 132π/4

or, base area = 33π

Answered by GAUTHMATH

Answer:

x = 45

Step-by-step explanation:

The angles labeled with the pink x are the same.  Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.

We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180

x+x+ 2x = 180

4x= 180

4x/4 = 180/4

x = 45