from a ship at sea,the angle of elevation of the top and. bottom a vertical lighthouse standing on the edge of a vertical cliff are 31° abd 26°, respectively. if the light house is 25.0m high,calculate the height of the cliff​

Answer:

x=-4/9, y=-74/9.

Step-by-step explanation:

y=32x+6

y=14x-2

-----------

32x+6=14x-2

32x-14x+6=-2

18x+6=-2

18x=-2-6

18x=-8

x=-8/18

simplify

x=-4/9

y=14(-4/9)-2=-56/9-2=-74/9

Answer:A

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

i took the test and it showed it was corrected when i got done checking my test score please choose A.

Answer:

x² + 8x + 12

Step-by-step explanation:

see

the length of the entire rectangle = x + 6

breadth of the entire rectangle = x + 2

area of a rectangle = length × breadth

= (x + 6)(x + 2)

= x² + 8x + 12

which is the required polynomial in standard form

Answer:

x^2 + 8x + 12

Step-by-step explanation:

length = x+6

breadth = x+2

ara of rectangle = l*b

=(x+6)(x+2)

=x(x+2) +6(x+2)

=x^2 + 2x + 6x +12

=x^2 + 8x +12

Answer:

Translation across the coordinate plane

Step-by-step explanation:

Here, we want to get the kind of transformation that has occurred to the shape

from the given coordinate diagram, we can see that A shifted from (2,3) to (-3,6)

B shifted from (2,-2) to (-3,1)

and C shifted from (-1,-4) to (-6,-1)

If we look at these, we can observe that there is a change in the x-axis coordinate in each by (-1-(-6) or 2-(-3) = 5 units

and there is a change in the y-axis value by (3-6) = -3 units

so the transformation here can be represented generally as;

(x -5, y+ 3)

With this, we can see that what we have represented is simply a translation across the coordinate plane

Answer:

A

Step-by-step explanation:

area=πr²=π×2²=4π≈4×3.14≈12.56 km²

Answer:

12.56

Step-by-step explanation:

area of circle = pi r^ 2

pi= 22/7

r= 2km

22/7×2×2

22/7×4

22/28

12.56 is ans

Answer:

2a (3-4a)

Step-by-step explanation:

(2a+1)-4a(2a+1)+4a

2a+1-8a²-1+4a

= 2a+4a-8a²

=6a-8a²

= 2a(3-4a)

Answer:

Step-by-step explanation:

Use distributive property: a*(b+c) = (a*b) + (a*c)

-4a*(2a + 1) = -4a*2a + 1*(-4a)

                  = -8a² - 4a

2a + 1 - 4a(2a + 1) + 4a = 2a + 1 - 8a² - 4a + 4a

                                    = 2a + 1 - 8a²

Answer: [tex]12m^2+19m-18[/tex]

Step-by-step explanation:

Given

Speed of boat [tex]v=3m-2\ \text{knots per hour}[/tex]

[tex]\text{time t= }4m+9\ \text{hours}[/tex]

[tex]\Rightarrow \text{Distance =speed}\times \text{time}[/tex]

[tex]\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18[/tex]

Answer:

Step-by-step explanation:

3 exponent 4

[tex] = {3}^{4} [/tex]

= 3 × 3 × 3 × 3

= 81 (Ans)

Answer:

1) yes

2) no

Step-by-step explanation:

1)

[tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]

This is correct because 1 time 2 equals 2 and 2 times 2 equals 4.

2)

[tex]\frac{1}{2} * \frac{?}{?}= \frac{4}{6}[/tex]

[tex]\frac{1}{2} *\frac{4}{3} =\frac{4}{6}[/tex]

This is incorrect because the numerator multiplied is different from the denominator multiplied.

-------------------------------

[tex]\frac{1}{2}[/tex] =  [tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{5}{10}[/tex] = [tex]\frac{6}{12}[/tex] ...

Sorry I didn't know how to explain that much but I hope you understand.

Answer:

For this type of problem, it is best to use Venn diagrams as shown in the picture. The areas where the circles intersect are the mutual events that occur together. The area where all circles intersect is denoted as x. These are the students who play all sports. Assuming all of the students play sports in the school, all of the numbers in the circles should add up to 405. The remaining area would be the difference. The solution is as follows:

Students who play tennis and hockey: 45 - x

Students who play hockey and softball: 60 - x

Students who play only tennis and softball: 39 - x

Students who only play tennis:

251 - 45 + x - 39 +x -x = x + 167

Students who only play hockey:

157 - x - 45 + x - 60 + x = x + 52

Students who only play softball:

111 - x - 60 + x - 39 + x = x + 12

The sum of all of these should be 405:

45-x+60-x+39-x+x+167+x+52+x+12 = 405

Solving for x,

x = 30

Therefore, there are 30 pupils who play all sports; 15 pupils who play tennis and hockey; 30 pupils who play hockey and softball; 9 pupils who play tennis and softball; 197 pupil who only play tennis; 82 pupils who only play hockey; and 42 pupils who only play softball.

Step-by-step explanation:

Hope this is correct, if it is wrong then please feel free to critique me and I wil correct my mistake(s). I'm sorry in advance if it is incorrect.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\text{D) }t=2[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\4 = 3t - 2\\-----------\\\rightarrow 3t - 2 = 4\\\\\rightarrow 3t - 2 + 2 = 4 + 2\\\\\rightarrow 3t = 6\\\\\rightarrow\frac{3t = 6 }{3}\\\\\rightarrow \boxed{t = 2}[/tex]

⸻⸻⸻⸻  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

-4 < n ≤ 5

Step-by-step explanation:

_________________

Answer:

there are 6 type of tryingle hope it helps

The interval where g is negative is in the domain of -5 ≤ x < 1

The reason for the above selected interval is as follows;

A function is negative over an interval where the graph of the function is

below the x-axis, and the y-coordinate values are negative, excluding

where the y-value is zero. The interval over which a function is negative is

also  called the negative region

From the given graph, the function, g(x), we have;

At x = 1, y = g(x) = 0

At x = -5, y = g(x) ≈ -7 and increasing to 0

Therefore at x = -5, g(x) ≈ -7, is negative

Tis negative over the interval -5 ≤ x < 1

Therefore;

The interval where g(x) is negative is -5 ≤ x < 1.

Learn more about intervals of functions here;

https://brainly.com/question/8933368

Answer:

6/7 or 85.7 percent

Step-by-step explanation:

First, you will want to add all of the candies together and find the sum

Then you will want to take away the Lemon candies as you are looking for the probability of NOT choosing those,

so at this point, you should have 12 take that 12, and put it over the total number, so 12/14 then either simplify, or switch to a percentage, or both, and there is your answer.

Answer:

you need to addmission all number

Answer:

-.985

Step-by-step explanation:

Answer:

[tex]x\le \:-1[/tex]

Step-by-step explanation:

[tex]3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6[/tex]

[tex]3x-3\le \:-\frac{11}{2}+\frac{1}{2}x[/tex]

[tex]3x\le \:-\frac{5}{2}+\frac{1}{2}x\\[/tex]

[tex]\frac{5}{2}x\le \:-\frac{5}{2}[/tex]

[tex]5x\le \:-5[/tex]

[tex]x\le \:-1[/tex]

x = -1

3(-2) ≤ ½(0) - 6

-6 ≤ 0 - 6

-6 ≤ -6

This is true.

x = -2

3(-3) ≤ ½(-1) - 6

-9 ≤ -½ - 6

-9 ≤ [tex]-\frac{13}{2}[/tex]

This is also true.

Therefore, x ≤ -1.

Step-by-step explanation:

Let us say x=2 and y=1

Using the formula,

=>((2^2)-(1^2))^2+(2(2)(1))^2=((2^2)+(1^2))^2

=>(4-1)^2+(4)^2=(4+1)^2

=>(3)^2+(4)^2=(5)^2

Which is pythogorian triplet

Answer:

Step-by-step explanation:

x * 18 = 113.4

x = 6.3

1) angle RQP

2) angle PQR

Answer:

XY = 8 cm

Step-by-step explanation:

PQ is a midsegment and is half the length of the 3rd side XY , then

XY = 2 × PQ = 2 × 4 = 8 cm

Answer:

70,000 - 20,000= 50,000

Answer:

ans: KM = 576/13

Step-by-step explanation:

break given triangle to two triangle,

use pythagoras theorem to find LN

now, splited triangle are similar to each other so corresponding sides are proportional to each other

Answer:

22

Step-by-step explanation:

P=(8*2)+(3*2)

16+6=22

Answer:

22 inches

Step-by-step explanation:

Perimeter = 8 + 3 + 8 + 3

= 22 inches