Solve for X
Solve for X
Solve for X

Answer:

Distance from point AA to point BB = 189.3 feet

Step-by-step explanation:

Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

Tan θ = [tex]\frac{opposite}{sdjacent}[/tex]

Tan 13 = [tex]\frac{102}{x}[/tex]

x = [tex]\frac{102}{Tan 13}[/tex]

  = 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = [tex]\frac{102}{y}[/tex]

y = [tex]\frac{102}{Tan 22}[/tex]

  = 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

                                                           = 189.3 feet

Answer:

A. 112.5°C

Step-by-step explanation:

Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]

Replace y with T, and replace x with V:

T = [tex]\frac{k}{V}[/tex]

Plug in 90 as T and 25 as V, then solve for k:

T = [tex]\frac{k}{V}[/tex]

90 = [tex]\frac{k}{25}[/tex]

2250 = k

So, the equation is T = [tex]\frac{2250}{V}[/tex]

Plug in 20 as V and solve for T:

T = [tex]\frac{2250}{V}[/tex]

T = [tex]\frac{2250}{20}[/tex]

T = 112.5

So, the temperature will be A. 112.5°C

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

7x + y = 14

-2x - y = 6

Step 2: Solve for x

Elimination

Answer:

São todas planas.

Step-by-step explanation:

São todas planas.

Answer:

hope it is helpful to you

Answer:

4(7a+3)

Step-by-step explanation:

28a+12

take common

4 is the common number for both the terms because it divides 28 and 12 exactly.

4(7a+3)

Answer:

The answer is 3366 cubic feet.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (18ft) (11ft) (17ft).

Then, solve the equation for the answer, and the answer will be 3366 cubic feet.

Answer:3366

Step-by-step explanation:

Answer: 40°

Step-by-step explanation: The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides. So it's 360°÷9=40°

Answer:

52

Step-by-step explanation:

13 divide 1/4 is the equivilent to 13 x 4

Answer:

52

Step-by-step explanation:

13/(1/4)

when a fraction is in the denominator you inverse the fraction and multiple by the numerator

so it would be 13*(4/1) = 13*4 = 52

Answer:

tienes que pensar

Step-by-step explanation:

put bralinyns

Step-by-step explanation:

m(x) = x+3

y = x+3

=> x = y-3

m`¹(x) = x-3

Answer:

64cm² I think :) if u get it wrong dont blame it on me.

Answer:

64 cm^2

Step-by-step explanation:

The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)

A = s^2

= 8^2 (8 x 8)

= 64 cm^2

Answer:

A

Step-by-step explanation:

The slope is -1/2 and the y-intercept is 14

Answer:

Parallelogram

Result

Area = b × h

= 5.5 × 11

Answer:

none

Step-by-step explanation:

No choice is correct.

The original expression has 560 x 70, the product of 560 and 70 inside the parentheses.

(560 x 70) ÷ 10 is 10 times smaller than 560 x 70

None of the choices show 560 x 70. They show 560 + 70 and 560 - 70.

Answer: none

Answer:

again, barely readable.and you didn't provide the picture for this problem.

but if the are of the triangle if just half of the square, it's one of the options that got 1/2 in it as a fraction.

but if it's 1/2 * 2 * 2

or 1/2 * 4 * 4

really depends on the square. either the area of the square is 2*2 or 4*4, and the triangle is just half of it. at least that's most likely.

can't really tell what's going on here without the missing picture

Answer:

A.  fraction 1 over 2 ⋅ 4 ⋅ 4 or 1/2 ⋅ 4 ⋅ 4

Step-by-step explanation:

Hope I helped!!

Answer:

True

Step-by-step explanation:

I have to write more but its true

Answer:

2 1/2

Step-by-step explanation:

divide in 5 then divide half in 5 also

Answer:

2,5

Step-by-step explanation:

The length of a piece of wood is:

12 ½ : 5 = 5/2 = 2,5

Answer:

y/x

Explanation:

The constant of proportionality defines two directly proportional quantities that decrease or increase proportionally/same rate.

Given constant of proportionality= k

Side of the square= x

Perimeter of the square= y

constant of proportionality=k=y/x

For example if perimeter of square is 8 and side of square is 2, constant of proportionality is 8/2=4

Answer:

B and C. if you got them wrong let me know :3

Answer:

Option A

Step-by-step explanation:

[tex] \frac{12}{25} \times \frac{11}{24} \times \frac{10}{23} \times \frac{9}{22} [/tex]

we start with 12 red marbles out of 25 marbles, that's the probability for the first.

in the second step we have one red marble less, wich also means one marble less overall

and so on

[tex] \frac{12 \times 11 \times 10 \times 9}{25 \times 24 \times 23 \times 22} [/tex]

[tex] = \frac{11880}{303600} [/tex]

can be reduced by 1320 (step by step) to

[tex] \frac{9}{230} [/tex]

Answer:

[tex]a^3 + 1 = 0[/tex]

Step-by-step explanation:

We start with the equation:

[tex]a + \frac{1}{a} = 1[/tex]

We want to find the value of:

[tex]a^3 + 1 =[/tex]

We can start with our previous equation and multiply both sides by a:

[tex](a + \frac{1}{a})*a = 1*a\\a^2 + 1 = a[/tex]

Now we can rewrite our initial expression as:

[tex]a = 1 - \frac{1}{a}[/tex]

Replacing that in the right side, we get:

[tex]a^2 + 1 = a = 1 - \frac{1}{a}[/tex]

Now again, let's multiply both sides by a

[tex]a*(a^2 + 1) = a*(1 - \frac{1}{a} )\\a^3 + a = a - a/a\\a^3 + a = a - 1\\a^3 = -1\\a^3 + 1 = 0[/tex]

So we can conclude that:

[tex]a^3 + 1 = 0[/tex]

Answer:162 might be wrong tho so dont mark as brainlyest

Step-by-step explanation:

Given:

The expression is:

[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]

To find:

The simplified form of the given expression

Solution:

Formula used:

[tex]x^2-y^2=(x-y)(x+y)[/tex]

We have,

[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]

It can be written as:

[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4)^2-(a^4)^2}[/tex]

[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4-a^4)(b^4+a^4)}[/tex]

[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b^2-a^2)(b^2+a^2)}[/tex]

[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

Taking LCM, we get

[tex]=\dfrac{1(b-a)(b^2+a^2)+2a(b-a)(b+a)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2a(b^2-a^2)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2ab^2-2a^3+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

[tex]=\dfrac{b^3+a^2b+ab^2+a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]

Using the grouping method factories the numerator.

[tex]=\dfrac{b(b^2+a^2)+a(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]

[tex]=\dfrac{(b+a)(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]

Cancel out the common factors.

[tex]=\dfrac{1}{b-a}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{1}{b-a}[/tex].

Answer:

100 meters per hour.

Step-by-step explanation:

7,200 seconds / 60 = 120 minutes

120 minutes / 60 = 2 hours

200 meters / 2 hours = 100 meters

Since the squirrel moved 200 meters in 2 hours, the squirrel moved 100 metres per hour.

Answer:

Hello,

Please, see the attached file.

Thanks.

Step-by-step explanation:

The remaining steps can be ∆ABC ∼ ∆DBA AA criterion for similarity Corresponding sides of similar triangles are proportional, AB/AC = AD/AB, and AB2 = AC × AD.

Triangles are closed two-dimensional geometric figures with three straight sides and three angles. The sum of the three angles in any triangle is always 180 degrees.

The first 10 steps to prove that AB2 + BC2 = AC2 are given in the table. The remaining steps to their correct sequence in the proof are:

These steps follow logically from the previous statements in the proof. In step 11, the Pythagorean Theorem is applied to the right triangle ADB.

Thus, this can be the match for the given scenario.

For more details regarding triangles, visit:

https://brainly.com/question/2773823

#SPJ7

==========================================

Work Shown:

(tangent)^2 = (whole secant)*(external secant)

(TU)^2 = (RT)*(ST)

(TU)^2 = (RS+ST)*(ST)

(TU)^2 = (8+4)*(4)

(TU)^2 = 48

TU = sqrt(48)

TU = 6.928203

TU = 6.9

For more info, you can search out "secant tangent chord", or something similar, and you should get to a page that describes the formula of what's going on here. This should match up fairly similarly to what lesson 3.09 is talking about.

Answer: 9.8

TU^2= TS x TR

TU^2= 8 x 12

TU= sqrt(96) = 9.79

Answer:

x = 15 and y = 7

Step-by-step explanation:

x = 2y + 1

x + y - 8 = 14

Let's substitute the value of x in the second equation:

(2y + 1) + y - 8 = 14

3y -7 = 14

3y = 14 + 7

3y = 21

y = 21/3

y = 7

And now you substitute the value of y in the first equation:

x = 2•7 + 1

x = 14 + 1

x = 15

Answer:

F(x)=x^2 and G(x)=7x^2-2x-1

Step-by-step explanation:

I have to fill in characters for the step by step explanation so have fun reading the following Junk. KEEp wasting your time Dummy with

Answer: its 180 , because it dont matter if its up or side .

Answer:

13°

Step-by-step explanation:

the lines are parallel so

82 + 85 = 167

167 - 180 = 13

x = 13°