find the distance of gap d

Find The Distance Of Gap D

Answers

Answer 1

Answer:

[tex]\displaystyle d \approx 15.8768[/tex]

Step-by-step explanation:

We want to find the distance of d or AB.

From the right triangle with a 35° angle, we know that:

[tex]\displaystyle \tan 35^\circ = \frac{50}{PB}[/tex]

And from the right triangle with a 42° angle, we know that:

[tex]\displaystyle \tan 42^\circ = \frac{50}{PA}[/tex]

AB is PA subtracted from PB. Thus:

[tex]\displaystyle d = AB = PB - PA[/tex]

From the first two equations, solve for PB and PA:

[tex]\displaystyle \frac{1}{\tan 35^\circ } = \frac{PB}{50} \Rightarrow PB = \frac{50}{\tan 35^\circ}[/tex]

And:

[tex]\displaystyle \frac{1}{\tan 42^\circ } = \frac{PA}{50} \Rightarrow PA = \frac{50}{\tan 42^\circ}[/tex]

Therefore:

[tex]\displaystyle d = AB = \frac{50}{\tan 35^\circ} - \frac{50}{\tan 42^\circ}[/tex]

Using a calculator:

[tex]\displaystyle d= AB \approx 15.8768[/tex]


Related Questions

The slope (m) and the y-intercept (b) of the line 2x + 3y = 12 is:

Answers

Step-by-step explanation:

[tex]2x + 3y = 12 \\ 3y = - 2x + 12 \\ y = - \frac{2}{3} x + 4[/tex]

slope is -2/3

y intercept is 4

Answer:

The slope is -2/3 and the y intercept is 4

Step-by-step explanation:

2x + 3y = 12

Slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

2x + 3y = 12

Subtract 2x from each side

2x-2x+3y = -2x+12

3y = -2x+12

Divide by 3

3y/3 = -2x/3 +12/3

y = -2/3 x +4

The slope is -2/3 and the y intercept is 4

Find the unit rate of miles per gallon for these vehicles

Answers

Answer:

Step-by-step explanation:

o find the unit rate , divide the numerator and denominator of the given rate by the denominator of the given rate.

start with the rate of miles to gallons . then divide , write as a rate.

hope this helps.

where are the following vehicles name

Convert
4 feet to inches
5 kilometers to meters
6 quarts to gallons, and
2,000 grams to kilograms

Answers

Answer:

1. 4ft=48inches

2. 5km=5,000m

3. 6 quarts=1,5 gallons

4. 2,000 grams=2km

Step-by-step explanation:

1. To convert feet to inches, multiply the number (4) by 12.

2. 1 Kilometer (km) is equal to 1000 meters (m). To convert kilometers to meters, multiply the kilometer value by 1000.

3. divide the volume value by 4

4. To convert grams to kilograms, you divide the number of grams you have by 1000

4 feet = 48 inches

5 kilometers = 5,000 meters

6 quarts = 1.5 US gallons

2,000 grams = 2 kilograms

(12, 9, 4) What is the area of the parallelogram shown below?

Answers

area of the parallelogram is: b x h

12 x 4 = 48 (d)

Will Mark brainlest help please please please​

Answers

Answer:

1

Step-by-step explanation:

so, the function is defined as coordinate pairs.

the first coordinate is x (and is the input variable), the second is y (the function result).

a function result is sometimes also called image, as some input information is converted into something else that can then be used, seen, stored, ...

so, the function result = y = 2 and is the result of x²+1.

2 = x² + 1

1 = x²

x = 1

so, 1 is the "pre-image" of 2 for this function. as 2 is the image of 1 under this function.

What is the negative square root of 0.25?

Answers

Answer:

-0.5

Step-by-step explanation:

how do i solve this any one know pls help me

Answers

i think it might be 15.7 sorry if i’m wrong

Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

Please help!!! question b do as directed

Answers

Answer:

question b do as directed

Step-by-step explanation:

can you say again

What are the solutions of the following system?

Answers

Answer:

(0,-5) and (-4,3) are the points to the equations.

Step-by-step explanation:

Solution:

Step 1: Make an equation for y to substitute to the first equation.

x^2+y^2=25

y=-2x-5

Step 2: Substitute the y-value to the first equation.

x^2+(-2x-5)^2=25

x^2+4x^2+20x+25=25

Our x-values would be 0, and -4.

Step 3: Solve for the y-values by substituting 0 and -4 to the equation y=-2x-5.

y=-2(0)-5=-5 and makes the ordered pair (0,-5)

y=-2(-4)-5=3 and makes the ordered pair (-4,3)

Therefore our answers would be (0,-5) and (-4,3)

Answer:

(-4;3), (0;-5)

Step-by-step explanation:


Sine and cosine ratios! help!!

Answers

The answer is b the second one is the correct answer

Choose the function that has two different zeros.
A.j(x) = x2 + 6x + 9
B.k(x) = x2 – 8x + 16
C.h(x) = x2 + 2x + 1
D.g(x) = x2 – 64

Answers

Answer:

D

Step-by-step explanation:

The first 3 are perfect squares and have 2 equal zeros

j(x) = x² + 6x + 9 = (x + 3)² with zeros x = - 3 , multiplicity of 2

k(x) = x² - 8x + 16 = (x - 4)² with zeros x = 4 , multiplicity of 2

h(x) = x² + 2x + 1 = (x + 1)² with zeros x = - 1 , multiplicity of 2

g(x)

x² - 64 is a difference of squares

(x - 8)(x + 8) = 0

with zeros x = - 8, x = 8 ← 2 different zeros

Find cos A and cot B exactly if a = 15 and b = 11.

Answers

Answer:

D. 15/√346

Hope this helps! Have a nice day :)!

Find the slope of the line that passes through the following points: (0, -3), (-6,8) ​

Answers

Answer:

-11/6

Step-by-step explanation:

To find the slope, we use the formula

m = ( y2-y1)/(x2-x1)

   = ( 8- -3)/( -6 - 0)

   = (8+3)/(-6-0)

  = 11 / -6

 = -11/6

In January Mr.Tan's students read 20 books. In February, they read 15 books. What is the percent increase or decrease in the number of books the read?

Answers

Answer:

there is a 25% decrease in books being read

michael is making a square pyramid out of paper for a school project .he cuts a piece of paper with the dimensions shown to make the pyramid .what is the approximate surface area of the pyramid ?

Answers

Answer:

273.2

Step-by-step explanation:

Surface area of the pyramid=Area of square+4*area of triangle

Surface area of the pyramid=10^2+2*(8.66)*10

Surface area of the pyramid=100+173.2=273.2

Describe the pattern in the following sequence and list the next three terms:
4, 8, 16, 32, ...

I’ll mark brainliest! Please help me

Answers

Ummm it’s kind of easy but this is my way of doing it
Multiples of 4 after continuing 2 digits skip one multiple and continue;-;

Mr. Pearce wanted to write a check for $85. He noticed that he had only $80 in his checking account. What integer shows what Mr. Pearce's checking account balance would have been if he had written the check?

Answers

Answer:

-5 since he only had 80 in his checking

Please help me solve this quickly!

Answers

Answer:

33.80

Step-by-step explanation:

AB = BC = AD√2

AB = BC = 7√2

AD = DC

AC = 2AD

perimeter = AC + AB + BC

= 2AD  + 2AB

= 2(7) + 2(7√2)

= 14 + 14√2

≈ 33.80

Answer:

33.8

Step-by-step explanation:

45-45-90 degree triangle rules states that the sides that are opposite the angles measure 45 degrees have the same value. That means that BD has the same value as AD, which is 7. Since triangle BDC is also a 45-45-90 degree triangle, DC is equal to BD, which is 7. We have the value of AC, which is 7+7=14. Now, we can use the Pythagorean theorem to figure out BC and AB. We know that [tex]DC^2+BD^2=BC^2[/tex]. We know that DC and BD is equal to 7, so we can simplify that to [tex]49+49=BC^2[/tex], and we can further simplify that to [tex]BC=\sqrt{98}[/tex]. This is also equal to [tex]7\sqrt{2}[/tex]. Since BC is also equal to AB because of 45-45-90 degree triangle rules, we have the perimeter of the triangle as

[tex]7\sqrt{2} + 7\sqrt{2}+14[/tex], which is equal to [tex]14\sqrt{2} + 14[/tex]. We can simplify 14 times the square root of 2 as 19.8 (rounded to 2 decimal places). We have the answer as 19.8 + 14, which is 33.8.


Which linear equation fits this line?
a. O2 y - x = 2
b. O2 y = 2 + x
C. O2 y + x = 2

Answers

Answer:

c

Step-by-step explanation:

find the ratio in which the point P(5,3) divides the line joining the points A(2,3) and B(7,3)
Answer should come 3:2 please help​

Answers

9514 1404 393

Answer:

  3 : 2

Step-by-step explanation:

We notice that P is on the horizontal line segment AB, so we can find the ratio by looking at the x-coordinates only.

  AP : PB = (P -A) : (B -P)

  = (5 -2) : (7 -5) = 3 : 2

Does the verbal description c minus 12

Answers

Answer:

Yes.

Step-by-step explanation:

Minus and difference mean the same thing. To find the difference, you subtract or minus, so they are the same thing.

Alina has a spinner that has 5 equal sections: red, blue, green, purple, and orange. She spins the spinner 200 times. About how many times should Alina expect the spinner to land on either purple or orange?
40
80
100
120

Answers

Answer:

The answer to this question is 80 times.

Answer:

80

Step-by-step explanation:

Help plz and thanks

Answers

I’d say -5 degrees Celsius

please answer all three.​

Answers

Answer:

842.04 cm³

Step-by-step explanation:

Cylinder:

diameter = 6 cm

r = 6/2 = 3cm

h = 4 cm

Volume of cylinder = πr²h

                               = 3.14 * 3 * 3 * 4

                               = 113.04 cm³

Cube:

side = 9 cm

Volume of cube = side * side *side

                           = 9*9*9

                             = 729 cm³

Volume 0f composite figure = volume of cylinder + volume of cube

      = 113.04 + 729

      = 842.04 cm³

Answer:

1181.16

Step-by-step explanation:

Cylinder + Cube = 1181.16

Cho tứ diện ABCD . Trên cạnh AB lấy điểm M , AC lấy N , trong tam giác BCD lấy điểm P tìm giao điểm

a, MP và (ACD)

b, AD và ( MNP)

c , BD và ( MNP)

Answers

Answer:

a.  Trong mp (BCD), nối BP cắt CD tại E

Trong mp (ABP), nối MP cắt AE kéo dài tại F (trong trường hợp MP không song song AE)

⇒F=MP∩(ACD)⇒F=MP∩(ACD)

b. Nếu MN cắt BC, kéo dài MN cắt BC tại G

Nối GP cắt BD tại H

Trong mặt phẳng (ABD), nối MH cắt AD tại K (trong trường howph MH ko song song AD)

⇒K=AD∩(MNP)⇒K=AD∩(MNP)

c. H=BD∩(MNP)

Step-by-step explanation:


In which of the following triangles is cos B = 0.8?
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

b is the symbol for the side opposite angle B. c is the symbol for the side opposite Using the notation in the above triangles

The triangle that is cos b = 0.8 is triangle d.

The triangles in the diagram are right triangle. Right triangles are triangles that have an angle that is 90 degrees. The sum of angles is 180 degrees.

In order to make use of cos, the value of the adjacent and the hypotenuse would be needed.

Cos = adjacent / hypotenuse

Triangle A:

The value of the adjacent side would be determined using pythagoras theroem

5² - 4²

= 25 - 16

= √9 = 3

Cos B = 3/5 = 0.6

Triangle B:

Cos B = 5/8 = 0.625

Triangle C:

Value of the hypotenuse = 4² + 5²

16 + 25

√41 = 6.4

Cos B = 4/6.4 = 0.62

Triangle D:

Cos B = 4/5 = 0.8

To learn more about triangles, please check: https://brainly.com/question/7894175

Solve for y, given that b=22(Round your answer to 1 decimal place, if necessary.)

Answers

Answer:

37.7

Step-by-step explanation:

First, we have to divde 22/7 to find the scale factor. I chose 22 and 7 because those two sides are ocngruent. We get 3.14. We then have to multiply 12 by 3.14 beacuse that is the side that is congruent with the side y. When you multiply you should get 37.68. Since we have to round we get 37.7.

A square base of a pyramid has dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you find the surface area of the pyramid?

Answers

A square pyramid has 4 triangles and the square base.

Calculate the area of one triangle, multiply that by 4 then add the area of the base.

Area of triangle = 1/2 x base x height = 1/2 x 5 x 12 = 30 square yards.

30 x 4 = 120 square yards

Area of base = 5 x 5 = 25 square yards

Total = 120 + 25 = 145 square yards.

List pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons. Given ABDF ~ VXZT



** I NEED HELP I KEEP GETTING IT WRONG**

Answers

Given:

[tex]ABDF\sim VXZT[/tex]

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

[tex]ABDF\sim VXZT[/tex]

The corresponding angles of similar polygons are congruent. So,

[tex]\angle A\cong \angle V[/tex]

[tex]\angle B\cong \angle X[/tex]

[tex]\angle D\cong \angle Z[/tex]

[tex]\angle F\cong \angle T[/tex]

The corresponding sides of similar polygons are proportional. So,

[tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex]

Therefore, the required solutions are [tex]\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T[/tex] and [tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex].

Evaluate:64 1/3 Question 11 options: A) 8 B) 16 C) 4 D) 2

Answers

Answer:

4

Step-by-step explanation:

64^1/3

cube root of 64 is

4

Answer:

C

Step-by-step explanation:

Using the rule of exponents

[tex]a^{\frac{1}{3} }[/tex] ⇔ [tex]\sqrt[3]{a}[/tex] , then

[tex]64^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{64}[/tex] = 4 → C

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