Given △XPS≅△DNF, find the values of x and y.

Step-by-step explanation:

im not really sure about this but I think it's 6.1

Answer:

The answer is "[tex]\bold{\theta= 70.53^{\circ}}[/tex]"

Step-by-step explanation:

The given value:

[tex]8x+8y+8z = 1\ and \ 8x-8y+8z = 1[/tex]  

When the normal vectors are in the plane:  

[tex]n_1 = < 8,8,8 > \ and \ n_2 = < 8, -8, 8>:[/tex]

Because the two variables really aren't proportional to each other and the wings are not parallel.  

Let us just find that two vectors' dot product.

[tex]n_1 \cdot n_2 =<8,8,8> < 8,—8,8>\\\\ = 64-64+ 64 \\\\ = 64 \neq 0[/tex]

Therefore, we won't find that angle between both the given planes as parallel.

[tex]\cos \theta = \frac{n_1 \cdot n_2}{|n_1||n_2|}\\\\\cos \theta =\frac{64}{\sqrt{192} \sqrt{192}}\\\\\cos \theta =\frac{64}{8\sqrt{3} 8\sqrt{3}}\\\\\cos \theta = \frac{1}{3}\\\\ \theta = 70.53^{\circ}[/tex]

It is required to know the orientation of one plane relative to the other.

The angle between the planes is 70.5°.

The given planes are

8x + 8y + 8z = 1

8x − 8y + 8z = 1

Parallel

[tex]\dfrac{8}{8}=\dfrac{8}{-8}=\dfrac{8}{8}\\\Rightarrow 1\neq -1\neq 1[/tex]

The planes are not parallel.

Perpendicular

[tex]8\times 8+8\times -8+8\times8=64\neq 0[/tex]

The planes are not perpendicular as dot product is not 0.

Finding angle

[tex]\theta=\cos^{-1}\dfrac{8\times 8+8\times -8+8\times8}{\sqrt{8^2+8^2+8^2}\sqrt{8^2+(-8)^2+8^2}}\\\Rightarrow \theta=\cos^{-1}\dfrac{1}{3}\\\Rightarrow \theta=70.53^{\circ}[/tex]

Learn more about planes:

https://brainly.com/question/26262923

Answer:

x/5 = 5280/1

Step-by-step explanation:

this is a proportion set up and then cross multiple. You will get your answer for x. Which is 26, 400 feet.

We have:

4x - 28 > 16

       [tex]4x-28+28>16+28[/tex]

       4x > 44

      [tex]\dfrac{4x}{4}>\dfrac{44}{4}[/tex]

       [tex]\boxed{x>11}[/tex]

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x>11\:\\ \:\mathrm{Interval\:Notation:}&\:\left(11,\:\infty \:\right)\end{bmatrix}[/tex]

Answer:

78

Step-by-step explanation:

multiply 26 by 3 because 60÷20=3

Answer: 78

Step-by-step explanation: 20x3=60 and there is 60 secs in a minute

and 26x3=78

So the answer is 78 heartbeats in a min

Answer:

Can you re-take the picture? It's too shaky then I can help you :)

Answer:

WHAT IS THIS QUESTION ABOUT?

Step-by-step explanation:

Answer:

dey r all true

Step-by-step explanation:

Answer:

y = 2x + 4

Step-by-step explanation:

So, the cab company charges a flat fee of $4 per cab ride, meaning 4 has no variables in the equation. Now, x is the distance, and the cab company charges $2 per mile driven. Per mile driven is a distance unit, so the x goes with the 2. From that, you can get that the cost is equal to 4 dollars plus 2x (2 times the distance in miles). This is y = 2x+4.

Answer:

Second option

Step-by-step explanation:

In order to find the answer to this question you have to divide the numerator into the denominator remembering that whole numbers have a secret decimal point to the right of itself.

[tex]\frac{3}{18}[/tex]

[tex]\frac{3}{18} =3\div18[/tex]

[tex]3\div18=0.16666666666[/tex]

= 0.16666666666  or 0.16 repeating

Hope this helps.

Answer:

$8.229

Step-by-step explanation:

do whats in the paranthese first: 1 + 0.055 = 1.055

when a number is next to another number you multiply: 7.80(1.055) which is 7.80 x 1.055 = 8.229

Answer:   17.5 square yards

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

Work Shown:

base = 5 yards

height = 7 yards

The base and height are always perpendicular to one another

area of triangle = 0.5*(base)*(height)

area of triangle = 0.5*(5)*(7)

area of triangle = 17.5 square yards

The other values aren't used. They're likely thrown in as a distraction.

Answer:

okay so

Step-by-step explanation:

A and B together means straight

C is curved or somthing like curved bc

its not like a circle i would so Horizontical or Vertical

Answer:

Yes your right

Step-by-step explanation:

Answer:

Ariel ate the most .

Step-by-step explanation:

hope this helps you.

Answer:

dan

Step-by-step explanation:

find the common denomanator= 28

dan 6/7 to the common denomanator is 24/28

ariel 3/4 is 21/28

Answer:32m

Step-by-step explanation:

So you would have to divide 160 and 5 and it would equal 32

Answer:

Approximately 6.67 pancakes.

Step-by-step explanation:

We can write an equation that relates the two items.

Let P represent Pancake and let W represent Waffle.

Pancakes are worth 1.5 times a Waffle. Therefore:

[tex]W=1.5P[/tex]

To find the Pancake value for 10 Waffles, we can substitute 10 for W and solve for P. Therefore:

[tex]\begin{aligned} W&=1.5P \\ 10&=1.5P \\ 6.\overline{6}&=P \end{aligned}[/tex]

Hence, 10 Waffles equates to approximately 6.67 pancakes.

Answer:

1/6

Step-by-step explanation:

1/3÷by.81_81_1 and =1/6according to the calculator :^)

Answer:

Imperial Units

155/8 Inches (fraction) 

15.625 Inches 

1.302083 Feet

Metric Units

396.875 Millimeters 

39.6875 Centimeters 

0.396875 Meters

Answer:

The probability of all three children being girls will Be: 1/8

Step-by-step explanation:

The couple has 3 children.

We have to determine the probability of all three children being girls.

As we know that for each child, the probability of being a girl is ' [tex]\frac{1}{2}[/tex] ' as is the probability of being a boy is ' [tex]\frac{1}{2}[/tex] '.

so for there to be all girls, the probability will be:

P  ( all girls)  = 1/2 × 1/2 × 1/2 = 1/8      

Therefore, the probability of all three children being girls will Be: 1/8        

Answer:

A.

Step-by-step explanation:

set a proportion

75       x

---   =  ----

1.5       2.25

2.25 times 75

168.75

divide it by 1.5

337.5

337 one half

Answer:

Step-by-step explanation:

5.13 - 4.75 = 0.38

4.75 / 0.38 = 12.5

Answer:

[tex]y=-e^{-3x-c_1}+6[/tex]

Step-by-step explanation:

[tex]\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6[/tex]

Answer:

Step-by-step explanation

150 divided by 4 3/8 = 34.2

Answer:

The probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles is 0.151.

Step-by-step explanation:

The age groups and preferences are given as follows:

                                     18 - 24     25 - 34       35 - 55     55 and over      Total

Liked Crunchicles           39             66              10                  86                201

Disliked Crunchicles       27              19             38                  95                179

No Preference                 24             37             35                  24                120

Total                                 90           122             83                205               500

One consumer from the survey is selected at random.

Compute the probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles as follows:

[tex]P(18-24|DC)=\frac{P(18-24\cap DC)}{P(DC)}[/tex]

                        [tex]=\frac{n(18-24\cap DC)}{n(DC)}\\\\=\frac{27}{179}\\\\=0.15084\\\\\approx 0.151[/tex]

Thus, the probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles is 0.151.

Answer:

x = 85°, y = 30°

Step-by-step explanation:

40° + x + 55° = 180°

x + 95° = 180°

x = 85°

85° + 65° + y = 180°

150° + y = 180°

y = 30°

Answer:

Step-by-step explanation:

10 yards in 5 hours is 2 yards an hour

8*2=16 yards in 8 hours

Answer:

16 yards

Step-by-step explanation:

he would mow 2 yards an hour in 5 hours because 2 x 5 = 10 so if you use 2 it would be 16