need help refer to picture

Need Help Refer To Picture

Answers

Answer 1

Answer:

203 ft.

Step-by-step explanation:

Since we are given the measurements of two sides, we can use trig to find the angle (or our reference angle, we'll call it x) the sides form.

SOH-CAH-TOA

We'll use cosine since the adjacent and hypotenuse were given for our reference angle.

Cos(x) = (adj/hyp)

Cos(x) = (396/445)

[Cos(x)]cos^-1 = (396/445)(cos^-1)

x ≈ 27.1409 (Nearest ten-thousandth)

And now we find the missing side using our now known angle.

SOH-CAH-TOA

Tan(x) = (opp/adj)

Tan(27.1409) = (opp/396)

0.5126 ≈ (opp/396)

(0.5126)(396) ≈ (opp/396)(396)

Opp = 203

Missing Side = 203 ft


Related Questions

if 2x +y=-7 and 3x=6+4y are simultaneous equation, what is the value of x-y​

Answers

Multiply by 48x+4y=28 3x-4y=6

could someone help me with these questions please i’m really confused

Answers

Answer:

C

Step-by-step explanation:

c

Which expression is equivalent to 1/4y−1/2?
( ignore the highlighted answer i don’t know if it’s right or not)

Answers

Answer:

1/4( y -2)

Step-by-step explanation:

1/4 y -1/2

Rewriting

1/4 * 1 y - 1/4*2

Factor out the 1/4

1/4( y -2)

56 = h/9
k/5 - 10 = 3
3t + 5 =2

Answers

Answer:

h = 504, k = 65, t = -1

Step-by-step explanation:

56 = h/9

h = 56 x 9

h = 504

k/5 - 10 = 3

k/5 = 3 + 10

k/5 = 13

k = 13 x 5

k = 65

3t + 5 = 2

3t = 2 - 5

3t = -3

t = -3/3

t = -1

Two neighbors in a rural area want to know the dsitance between their homes in miles what should the mneighbors us as a conversion factor to convert this distance to miles? 4,224 feet

Answers

They should use the conversion factor

1 mile = 5280 feet

To go from feet to miles, you divide by 5280

So,

4224 ft = 4224/5280 = 0.8 miles

The distance between their homes is exactly 0.8 miles

What
is the value of In e^4

Answers

Answer:

[tex]\displaystyle lne^4 = 4[/tex]

General Formulas and Concepts:

Algebra II

Natural Logarithms ln and Euler's number e

Logarithmic Property [Exponential]:                                                             [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle lne^4[/tex]

Step 2: Evaluate

Rewrite [Logarithmic Property - Exponential]:                                             [tex]\displaystyle 4lne[/tex]Simplify:                                                                                                         [tex]\displaystyle 4(1)[/tex]

Step by step solution please

Answers

Answer:

I solved the question step by step in the pic, and I hope it helps

It takes 3 identical water pumps 8 hours to fill a pool. How long would it take 4 of
these same pumps to fill the pool?

Answers

Answer:

Step-by-step explanation:

We have 3 identical pumps working to fill a pool. If it takes them working  together 8 hours to fill the pool, the equation is:

[tex]\frac{1}{x}+\frac{1}{x}+\frac{1}{x}=\frac{1}{8}[/tex] and

[tex]\frac{3}{x}=\frac{1}{8}[/tex] . Cross multiply to get

x = 24, which is the number of hours it will take one pump to do the job all alone. If this be the case, and we have 4 pumps WORKING AT THE SAME TIME, filling the pool will be the number of hours it takes one pump divided by 4.

4 pumps can do the job in 6 hours.

Please help!![tex]2^x=\sqrt{2}[/tex]

Answers

2.82842712475 is the answer
X = 1/2
The root can be change to 1/2

evaluate without multiplying directly 998³ x 103³​
Answer correctly I will mark them as brainlist

Answers

Answer:

1,086,183,741,982,184

Step-by-step explanation:

998^3

 = (1,000)^3 - (2)^3 - 3 · 1,000 · 2 (1000 - 2)

 = 1,000,000,000 - 8 - 6,000 (998)

 = 999,999,992 - 5,988,000

 = 994,011,992

103^3

 = (100 + 3)^3

 = (100)^3 + (3)^3 + 3(100) (3) + (100+3)

 = 1,000,000 + 27 + 900(103)

 = 1,000,027 + 92,700

 = 1,092,727

994,011,992 · 1,092,727

 = 994,011,992 · (1,000,000 + 90,000 + 2,000 + 700 + 20 + 7)

 = (994,011,992 · 1,000,000) + (994,011,992 · 90,000) + (994,011,992 · 2,000) + (994,011,992 · 700) + (994,011,992 · 20) + (994,011,992 · 7)

= 994,011,992,000,000 + 89,461,079,280,000 + 1,988,023,984,000 + 695,808,394,400 + 19,880,239,840 + 6,958,083,944

 = 1,086,183,741,982,184

1. Paulina wants to find the width, AB, of a river. She walks along the edge of the river 200 ft and marks point C. Then she walks 60 ft further and marks point D. She turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location, as shown. (a) Can Paulina conclude that ΔABC and ΔEDC are similar? Why or why not? (b) Suppose DE = 40 ft. Calculate the width of the river, AB. Show all your work and round answer to the nearest tenth. Answer

Answers

Answer:

Step-by-step explanation:

a). In ΔABC and ΔEDC,

Since, AB and DE are parallel and AE is a transversal,

Therefore, ∠CAB ≅ ∠CED [Alternate interior angles]

m∠D = m∠B = 90°

ΔABC ~ ΔEDC [By AA property of similarity of two triangles]

b). Therefore, by the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

[tex]\frac{DC}{BC}= \frac{DE}{AB}[/tex]

[tex]\frac{60}{200}=\frac{40}{AB}[/tex]

AB = [tex]\frac{40\times 200}{60}[/tex]

     = 133.33

     ≈ 133.3 ft

What is the volume of the rectangular prism?

Answers

Answer:

94.5 yd^3

Step-by-step explanation:

The volume of a rectangular prism is given by the formula:

A = lwh

Where:

l = length

w = width

h = height

Volume is how much space a 3d figure occupies.

USE THE FORMULA WITH THE GIVEN DIMENSIONS:

A = (7)(4.5)(3)

= (31.5)(3)

= 94.5

Volume is measured in cubic yards, in this case.

Therefore your answer is 94.5 yd^3

I hope I helped!

Answer:

Step-by-step explanation:

length = 7 yd

Width = 4.5 yd

height = 3 yd

Volume of rectangular prism = length * width * height

                                                = 7 * 4.5 * 3 = 94.5 yd³

Find the accumulated value of an investment of $10,000 for 7 years at an interest rate of 5.5% if the money is a. Compounded semiannually;b. Compounded quarterly; c. Compounded monthly; d. Compounded continuously

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Annual interest rate (i)= 0.055

Initial investment (PV)= $10,000

Number of years (n)= 7

To calculate the future value (FV), we need to use the following formula (except in d):

FV= PV*(1+i)^n

a.

Semiannual interest rate= 0.055/2= 0.0275

Number of semesters= 7*2= 14

FV= 10,000*(1.0275^14)

FV= $14,619.94

b.

Quarterly rate= 0.055/4= 0.01375

Number of quarters= 7*4= 28

FV= 10,000*(1.01375^28)

FV= $14,657.65

c.

Monthly interest rate= 0.055/12= 0.0045833

Number of months= 7*12= 84

FV= 10,000*(1.0045833^84)

FV= $14,683.18

d.

To calculate the future value using continuous compounding, we need to use the following formula:

FV= PV*e^(n*i)

FV= 10,000*e^(7*0.055)

FV= $14,696.14

Solve for n. 1/ n-4 - 2/n = 3/ 4 - n

Answers

Answer:

The answer is n = - 4.. I hope it will help :)

Answer with explanation

Answers

Answer: a and d

Step-by-step explanation:

(to find all points of discontinuity, set denominator equal to zero and solve)

[tex]x^2-7x+10=0\\\\[/tex]

(to factor, find two numbers when added together equal -7 and when multiplied together equal 10)

-2 + -5 = -7

-2(-5) = 10

-2 and -5 are the two numbers

[tex](x-2)(x-5)=0\\\\x-2=0\\x=2\\\\x-5=0\\x=5\\\\x=2,5[/tex]

Find the value of x-8 when x=16.

Answers

Answer:

8

Step-by-step explanation:

x=16

x(16)-8=8

The answer is 8, plug in 16 for x (16)-8=8

What’s the sum in the diagram, a + b + c =

Answers

Answer:

Answer is 360 degrees

Step-by-step explanation:

The sum of the exterior angles of a triangle is 360°.

Answer: 360 degrees

Step-by-step explanation:

You know that in a triangle is 180 degrees. In the diagram, the figure shows a, b, and c, outside of the triangle. Also, the a, b, and c makes a circle. The circle is 360 degrees, so when you add a, b, and c that will equal 360.

Thank you so much thank y’all

Answers

Answer:

x < 12

Step-by-step explanation:

150 - 20 = 130

x < 130 / 10 - 1

x < 13 - 1

x < 12

In the first quadrant, you start at 2, 6 and move 2units rights and 3 units down what point will you end up on?

Answers

Answer:

[tex]End = (4, 9)[/tex]

Step-by-step explanation:

Given

[tex]Start = (2,6)[/tex]

Transformation: 2 units right and 3 units down

Required

The new point

First, we take the right translation;

When a point is translated right by 2 units, the rule is:

[tex](x,y) \to (x + 2, y)[/tex]

So, we have:

[tex](2,6) \to (2 + 2, 6)[/tex]

[tex](2,6) \to (4, 6)[/tex]

Next, we take the down translation;

When a point is translated down by 3 units, the rule is:

[tex](x,y) \to (x, y + 3)[/tex]

So, we have:

[tex](4,6) \to (4, 6+3)[/tex]

[tex](4,6) \to (4, 9)[/tex]

Hence, the endpoint is:

[tex]End = (4, 9)[/tex]

simplify : 5y-2y+4=10​

Answers

Answer:

See below.

Step-by-step explanation:

5y - 2y + 4 = 10

5y - 2y = 6

3y = 6

y = 2

Check:

5y - 2y + 4 = 10

5(2) - 2(2) + 4 = 10

10 - 4 + 4 = 10

6 + 4 = 10

10 = 10

The value of y = 2

Answer:

[tex]3y = 6,=> y=2[/tex]

Step-by-step explanai

on:

97. An elevator in a tall building goes up 7 floors, then
down 9 floors, down 4 floors, up 8 floors, and
down 2 floors. Now it is on floor 14. On what
floor did the elevator start?

Answers

so, start floor = x

x + 7 - 9 - 4 + 8 - 2 = 14

x = 14

the elevator started on the 14th floor.

to verify: 14 + 7 = 21 - 9 = 12 - 4 = 8 + 8 = 16 - 2 = 14

whats the perimeter and area of this shape?

Answers

Answer:

(4x4) + (6x11) = 82 for area

4+4+10+11+7+6= 42

Step-by-step explanation:

You can calculate this by calculating the two squares separately, and on the bottom line, it is 10, so just subtract 4 to make the rectangle on the right, separate from the square on the left. (for area)

8. Colleen times her morning commute such that there is an equal likelihood that she will arrive early or late to work on any given day. If she always arrives either early or late, what is the probability that Colleen will arrive late to work no more than twice during a five-day workweek

Answers

Solution :

Case I :

If Collen is late on [tex]0[/tex] out of [tex]5[/tex] days.

[tex]$= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} $[/tex]

[tex]$=\frac{1}{32}[/tex]

Case II :

When Collen is late on [tex]1[/tex] out of [tex]5[/tex] days.

[tex]$= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times ^5C_1$[/tex]

[tex]$=\frac{1}{32} \times 5$[/tex]

[tex]$=\frac{5}{32}[/tex]

Case III :

When Collen was late on [tex]2[/tex] out of [tex]5[/tex] days.

[tex]$= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times ^5C_2$[/tex]

[tex]$=\frac{1}{32} \times 10$[/tex]

[tex]$=\frac{5}{16}[/tex]

Therefore, the [tex]\text{probability}[/tex] that Collen will arrive late to work no more than [tex]\text{twice}[/tex] during a [tex]\text{five day workweek}[/tex] is :

[tex]$=\frac{1}{32} + \frac{5}{32} + \frac{5}{16} $[/tex]

[tex]$=\frac{1}{2}$[/tex]

how many cups are in one liter?
Which conversions show a path to the solution? Check all that apply.

A. cups -> liters -> quarts
B. liters -> quarts -> cups
C. cups -> gallons -> liters
D. liters -> gallons -> cups

Answers

Answer:

b,d

Step-by-step explanation:

Sin(2x+30°)=1
Tìm x
Cảm ơn vì giúp đỡ

Answers

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

Proof that :
[tex] {sin}^{2} \theta + {cos}^{2} \:\theta= 1[/tex]
Thx.

Answers

Answer:

Solution given:

Right angled triangle ABC is drawn where <C=[tex]\theta[/tex]

we know that

[tex]\displaystyle Sin\theta=\frac{opposite}{hypotenuse} =\frac{AB}{AC}[/tex]

[tex]\displaystyle Cos\theta=\frac{adjacent}{hypotenuse}=\frac{BC}{AC} [/tex]

Now

left hand side

[tex] \displaystyle {sin}^{2} \theta + {cos}^{2} \:\theta[/tex]

Substituting value

[tex](\frac{AB}{AC})²+(\frac{BC}{AC})²[/tex]

distributing power

[tex]\frac{AB²}{AC²}+\frac{BC²}{AC²}[/tex]

Taking L.C.M

[tex]\displaystyle \frac{AB²+BC²}{AC²}[/tex]....[I]

In ∆ABC By using Pythagoras law we get

[tex]\boxed{\green{\bold{Opposite²+adjacent²=hypotenuse²}}}[/tex]

AB²+BC²=AC²

Substituting value of AB²+BC² in equation [I]

we get

[tex]\displaystyle \frac{AC²}{AC²}[/tex]

=1

Right hand side

proved

What is the remainder when 4x2 - 2x + 6 is divided by x - 2?

Answers

Answer:

18

Step-by-step explanation:

Find the zeros of the divisor

x-2=0

x=2

Plug 2 into the polynomial

4(2)²-2(2)+6

=16-4+6

=18

HELP PLEASE IM GONNA FAIL

21. Identify as a function or not a Function ​

Answers

Answer:

First one: function

Second one: not a function

Step-by-step explanation:

A function is a relationship where each input has it's own unique output. If an input has more than one output then the relationship is not a function

For the first one no x value repeats meaning each input has it's own output therefore it is a function

For the second one the x value 8 has more than 1 output therefore the second one is not a function

Find the area of the regular polygon. Round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

The central angle of a hexagon is 60 degrees. Drop a line from the center to the middle of the side marked 7.

Use the  tan of the angle so formed (which is 30 degrees)

Tan(30)= opposite / height (which is the line you just drew).

Tan(30) = 3.5 / h

Tan(30) = 0.5774

Tan(30) = 3.5 / h                multiply both sides by h

h*Tan(30) = 3.5                  Divide by tan30

h = 3.5 / Tan(30)

h = 3.5 / 0.5774

h = 6.062

Now from both ends of the given side, draw 2 lines to the center. Find the area of that triangle.

Area of 1 triangle = 1/2 * b * h

area of 1 triangle = 1/2 * 7 * 6.062

Area of 1 triangle = 21.2176

There are 6 such triangles so multiply that number by 6

Answer:  6 * 21.2176

Answer:  127.31

Question 3 of 10
Which of the following is(are) the solution(s) to |15x+2| = 8?

Answers

Answer:

x = 6/5  x = -2

Step-by-step explanation:

|5x+2| = 8

There are 2 solutions

5x+2 = 8   and 5x+2 = -8

Subtract 2 from each side

5x+2 -2 = 8-2    and 5x+2-2 = -8-2

5x= 6                           5x = -10

Divide by 5

5x/5 = 6/5                        5x/5 = -10/5

x = 6/5                                  x = -2

Answer:

b

Step-by-step explanation:

|5x+2|=8

1) |5×(-2)+2|=8

|-10+2|=8

|-8|=8

8=8

2) |5×6/5+2|=8

|6+2|=8

|8|=8

8=8

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