Imara used these steps to find the length of the hypotenuse of the right triangle.

3 squares are positioned to form a right triangle. The small square is labeled 15, medium square is 20, and large square is not labeled.

Step 1: Find the area of the square with side lengths of 20: 400
Step 2: Find the area of the square with side lengths of 15: 225
Step 3: Find the sum of the areas of the two squares: 625
Step 4: State the length of the hypotenuse: 625

Consult the attached diagram.

In the larger triangle,

tan(16°) = (7250 ft) / (x + y)

and in the smaller triangle,

tan(26°) = (7250 ft) / y

You want to solve for x.

From the first equation (I'm ignoring units from here on, all distances are measured in ft), you have

(x + y) tan(16°) = 7250

x tan(16°) + y tan(16°) = 7250

x tan(16°) = 7250 - y tan(16°)

x = 7250 cot(16°) - y

From the second equation,

y = 7250 cot(26°)

Solving for x gives

x = 7250 cot(16°) - 7250 cot(26°)

x = 7250 (cot(16°) - cot(26°))

x ≈ 10,433 ft

The distance the plane traveled from point A to point B is 10,433 ft.

We have given that,

Carter spots an airplane on the radar that is currently approaching in a straight line, and that will fly directly overhead.

The plane maintains a constant altitude of 7250 feet.

In the larger triangle,tan(16°) = (7250 ft) / (x + y)and in the smaller triangle,

[tex]tan(\ theta)=\frac{\\opposite \side }{hypotenouse}[/tex]tan(26°) = (7250 ft) / y

we have to solve for x.

From the first equation (I'm ignoring units from here on, all distances are measured in ft),

you have

(x + y) tan(16°) = 7250

x tan(16°) + y tan(16°) = 7250

x tan(16°) = 7250 - y tan(16°)

x = 7250 cot(16°) - y

From the second equation,

y = 7250 cot(26°)

Solving for x gives

x = 7250 cot(16°) - 7250 cot(26°)

x = 7250 (cot(16°) - cot(26°))x ≈ 10,433 ft

Therefore the distance the plane traveled from point A to point B is 10,433 ft.

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Answer:

The answer is A

Step-by-step explanation:

Answer:

65°

Step-by-step explanation:

To obtain Angle A, we use the cosine rule ;

Cos A = (b² + c² - a²) / 2bc

Cos A = (12² + 14² - 14²) / 2(12)(14)

Cos A = 144 / 336

A = Cos^-1(144/336)

A = 64.62°

A = 65°

Answer:

27.5 miles per gallon

1 full tank = 15.45 gallons

27.5 x 15.45 = 424.875 miles

rounded to the nearest 100th: 424.88 miles

nearest 10th: 424.9 miles

nearest whole #: 425 miles

Answer:

Step-by-step explanation:

According to the Question,

Then, For any u,w ∈ V ⇒ u+w ∈ V

And u∈V and z∈C ⇒ z u ∈ V

So, If we take any z= i ∈ C

then, z,v ∉ V  ∴z,v Has Complex entries

So, the Scalar Closure axiom is not satisfied

Hence, V is not a Vector Space of C

Any u,w ∈ W ⇒ u+w ∈ V

So, The Additive Closure axiom is satisfied.

Answer:

8x+(-20x)

Step-by-step explanation:

Answer:

I guess it is the Answer C

Answer:

C

The distance around the edge of the circle

Answer :

70.5% weight increase

Answer/Step-by-step explanation:

1.

✔️Coordinates of vertices ABC:

A(2, 2)

B(6, 2)

C(2, -1)

✔️AC = |2 - (-1)| = 3 units

AB = |2 - 6| = 4 units

2. Distance formula => [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Distance between B(6, 2) and C(2, -1):

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] B(6, 2) = (x_1, y_1) [/tex]

[tex] C(2, -1) = (x_2, y_2) [/tex]

[tex] BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2} [/tex]

[tex] BC = \sqrt{(-4)^2 + (-3)^2} [/tex]

[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]

[tex] BC = 5 units [/tex]

Answer:

The person above me has the correct answer and solves it in the correct way.

Step-by-step explanation:

This is what I used as my answer though.

Distance Formula: d = √(x2-x1)^2 + (y2-y1)^2 

BC = √(x2-x1)^2 + (y2-y1)^2 

B = (6,2)

C = (2,-1)

BC = √(2-6)^2 + (-1-2)^2 

BC = √(-4)^2 + (-3)^2 

BC = √16+9

BC = √25

BC = 5

Answer:

1) V = 336mm

2) V = 64.33ft

Step-by-step explanation:

1) V = lwh + lwh

V = 4(6)(5) + 9(6)(4)

V = 120 + 216

V = 336mm

2) V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h +  

Cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h

Cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex](1.5)^{2}[/tex](3) +

V = [tex]\pi[/tex][tex](1.5)^{2}[/tex] +

V = 7.07 + 57.26

V = 64.33ft

Step-by-step explanation:

Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is



Note that the equivalent width is practically insensitive to the number density of absorbing material.

Answer:

Step-by-step explanation:

b = sqrt(2 * L)                 Given

L = 4.5                            Given

b = sqrt(2 * 4.5)

b = sqrt(9)

b = 3

Answer:

b = 9

Step-by-step explanation:

Given :-

[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]

[tex] \small \: l = 4.5[/tex]

Solution :-

[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]

plug the values of l in the equation

[tex] \small \sf \leadsto \: b = \sqrt{2 × 4.5} [/tex]

[tex] \small \sf \leadsto \: b = \sqrt{9} [/tex]

[tex] \small \sf \leadsto \: b = 9 [/tex]

Answer:

c

Step-by-step explanation:

two plus two

Answer:

8

Step-by-step explanation:

i have 6 apples + 2 peers

Answer:

6 plus 2 equals 8

Step-by-step explanation:

If you have 6 apples and your mom gives you 2 more apples then you will have 8 apples.

6,7,8

Answer:

k=7

Step-by-step explanation:

2x+3y=k

2(2)+3(1)=k

4+3=k

k=7

Answer:

7.

Step-by-step explanation:

Substitute x = 2 and y = 1 into the given equation:

2(2) + 3(1) = k

4 + 3 = k

k = 7.

Answer:

ang sentimeter ay ang tamang yunit ng pagsukat para sa pagsukat sa lugar ng isang panyo

Answer:

46degrees

Step-by-step explanation:

From the question, we are told that both triangles are similar, hence;

<E = <S

<D = <R

<F = <T

From triangle DEF

<D + <F + <E = 180

Since <D = <F = 67

67 + 67 + <E = 180

134 + <E = 180

<E = 180 - 134

<E = 46degrees

Since <E = <S, hence the measure of <S  is 46degrees

Answer:

The c intercept is 42

The t intercepts are: 6, -1 and 7

Step-by-step explanation:

Given

[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]

Solving (a): The c intercept

Simply set t to 0

[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]

[tex]c(0) = (0 - 6)(0 +1)(0-7)[/tex]

[tex]c(0) = (- 6)(1)(-7)[/tex]

[tex]c(0) = 42[/tex]

Solving (b): The t intercept

Simply set c(t) to 0

[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]

[tex](t - 6)(t +1)(t-7) = 0[/tex]

Split

[tex]t - 6= 0,\ \ t +1= 0,\ \ t-7 = 0[/tex]

Solve for t

[tex]t = 6,\ \ t =-1,\ \ t=7[/tex]

-11/5 = -11 ÷ 5 = -2.2

Answer:

-2.2

Answer:

try the meeting was a good friend of mine for the first person in my family who has been a great friend for any

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 75}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]x - ( - 25) = - 50[/tex]

➺ [tex] \: x + 25 = - 50[/tex]

➺ [tex] \: x = - 50 - 25[/tex]

➺ [tex] \: x = - 75[/tex]

Therefore, the value of [tex]x[/tex] is -75.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]x - ( - 25) = - 50[/tex]

➺ [tex] \: - 75 + 25 = 50[/tex]

➺ [tex] \: - 50 = - 50[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answers:

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

Explanation:

So far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.

The remaining 90-80 = 10 people are absent.

The venn diagram is below.

Answer:

[tex]{ \tt{graph \: y \:and \:graph\: z}}[/tex]

Answer:

f(3) = 12

Step-by-step explanation:

f(3) = (3 x 2) + 24 - 12

     = 6 + 24 - 12

f(3) = 12

If this helps you, please give brainliest!

Answer:

Step-by-step explanation:

f(x) = [tex]x^{2}[/tex] + 24 - 12

substitute 3 inplace of x

f(3) = [tex]3^{2}[/tex] + 24 - 12

=9 + 24 - 12

21

If the question is f(x) = x2 + 24 - 12     {x*2 + 24 - 12}

now substitute 3 in place of x

f(3) = 3*2 + 24 - 12

=6 + 24 - 12

18

Answer:

Cube with 10 cm

SA = 600 cm V = 1000 cm

Cube with 13 cm

SA = 1014 cm V = 2197

Step-by-step explanation:

SA = 6[tex]s^{2}[/tex]

V = [tex]s^{3}[/tex]

s = side length

2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.

[tex]\sf{Set\:y = 0. Thus, }[/tex]

[tex]\sf\rightarrow{0 = x2 – 3x + 2} [/tex]

[tex]\sf\rightarrow{0 = ( x – 2) ( x – 1)}[/tex]

[tex]\sf\rightarrow{x – 2 = 0 or x – 1 = 0} [/tex]

[tex]\sf{Then\:x = 2\:and\:x = 1}[/tex]

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