Triangle KLM is similar to triangle NOP. Find the measure of side PN. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
60
P
O
M M
17 1
35
K
N

9514 1404 393

Answer:

  25.2 in³

Step-by-step explanation:

The volume of the box is ...

  V = LWH

  V = (3 in)(4 in)(6 in) = 72 in³

__

65% of the box is filled with a toy, so the remaining 100% -65% = 35% is filled with packing beads. The volume of packing beads required is ...

  0.35 × 72 in³ = 25.2 in³

25.2 in³ of foam packing beads are used to fill each box.

Answer:

Step-by-step explanation:

f(x) = x³-1 is the same as y = x³-1

Replace x with y, and y with x =

x = y³ - 1

y³ = x + 1

y = ∛(x+1)

or y = (x+1)^1/3 (d)

_____________________

#IndonesianPride - kexcvi

Answer:

(x + 1)^1/3 (D)

Step-by-step explanation:

x = y^3 - 1

y^3 = x + 1

y = (x + 1)^1/3

Hope this help!

Answer:

X = 2

Step-by-step explanation:

-1/2X+4= X+ 1

Add 1/2X to each side

-1/2X+ 1/2 X+4= X+ 1 + 1/2 X

4 = 3/2 X +1

Subtract 1 from each side

4-1 = 3/2 X +1-1

3 = 3/2 X

Multiply each side by 2/3 to isolate x

3 * 2/3 = 3/2 X * 2/3

2 =X

Answer:

MJ = 6.5

Step-by-step explanation:

Tangent lines to a circle are perpendicular to the radius.

tan 68° = JL/3

2.4751 = JL/3

JL = 7.4253

∠JLK = 90° - 68° = 22°

∠MLJ = 61° - 22° = 39°

sin 61° = MJ/7.4253

MJ = 7.4253(0.8746) =  6.5

The length of radius MJ is 5.99 units

Start by calculating the length JL using the following tangent ratio

tan(68°) = JL/3

Make JL the subject

JL = 3 * tan(68°)

Evaluate the product

JL = 7.4

From the figure, the measure of angle MLJ is:

∠MLJ = MLK - JLK

Where:

∠JLK = 90° - 68° = 22°

So, we have:

∠MLJ = 61 - 22

∠MLJ = 39

The radius MJ is then calculated using the following tangent ratio

tan(39) = MJ/JL

This gives

tan(39) = MJ/7.4

Make MJ the subject

MJ = 7.4 * tan(39)

Evaluate

MJ = 5.99

Hence, the length of radius MJ is 5.99 units

Read more about line of tangents at:

https://brainly.com/question/6617153

Answer:

c = 20

Step-by-step explanation:

You have not really asked a question.

I will assume you are asking about the value of c.

The measure of angle 1 is 10 (assuming degrees!), so the measure of angle 2 is 80.  (Complementary angles have measures that sum to 90.)

The measure of angle 2 is also described as 4c, so 4c = 80.  That makes c = 20.

Answer:

1: the answer is 6x

2: its 39

Step-by-step explanation:

for 1 I I used 8 x X = 8x - 2 = 6x.

for 2 all I did was substrac 3 out of 42 which gave me 39

Good luck

Answer:

The answer is 21.4.

Step-by-step explanation:

Hope this helps!

Answer:

21.4 is correct =)

Step-by-step explanation:

Answer:

In a triangle the sum of any two sides must be greater than the third side. We have 3+4=7 which is less than 8. So this triangle is never true.

b. The third side must be equal to or greater than 7 inches

Step-by-step explanation:

pleae mark this answer as brainlest

Answer:A

Step-by-step explanation:

Answer:

four million, one hundred ninety three thousand, five hundred thirty eight

Step-by-step explanation:

Answer:

Four million, one hundred ninety-three thousand, five hundred thirty-eight

Step-by-step explanation:

Answer:

PQRST

Step-by-step explanation:

This one cannot be be mapped by similarity transformations as its dimensions/proportions don't match those of the others.

Answer:

PQRST

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

1. multiply both sides by 2

2. isolate the x by adding 11 to both sides

3. simplify

(i have included an attachment showing the work for clarification)

The histogram representing the data is attcwhwd in the picture below.

Answer:

C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.

Step-by-step explanation:

The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.

From the histogram ;

Shane drank 1 - 2 glasses on exactly 1 day

Shane drank 3 - 4 glasses on exactly 3 days

Shane drank 5 - 6 glasses on exactly 6 day

Total number of days = 12

60% of 12 = 7.2

On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram

25% of 12 ; 0.25 * 12 = 3 days

From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.

Answer:

2/5

Step-by-step explanation:

probability it is  a beret = total number of berets / total number of hats

6/15

To transform to the simplest form. divide both the numerator and the denominator by 3

2/5

Answer:

find the two points on the graph and do rise over run

Step-by-step explanation:

go to point (-2,0) and then go up and over to point (2,3)

Answer:

141.4 centimeters

Step-by-step explanation:

circumference = diameter * pi c = d * pi c = 45 * 3.1416 c = 141.4 (rounded)

Answer:

C= 141.37

Step-by-step explanation: go0gle

Answer:

[tex]525\pi[/tex]

Step-by-step explanation:

Volume of a cylinder is given by the function [tex]v=\pi r^{2}h[/tex]

where v is volume, r is radius and h is height.

In order to find the radius we just divide the diameter in half and get

[tex]\frac{10}{2} =5=r[/tex]

now we just plug the values in the formula

[tex]v=\pi r^{2}h\\=\pi (5^{2})(21)\\=\pi (25)(21)\\=525\pi[/tex]

Answer:

Volume of a cylinder: V = π (r^2) h

Step-by-step explanation:

First, find your radius and your height.

H = 21

D = 10

R = 1/2 d = 5

Then plug them into the equation: V = π (r^2) h

V = π (5^2) 21

V = π (25) 21

V = π (25 x 21)

V = π (525)

V = 525π

Answer:

[tex]A.\ {28, 30, 58}[/tex]

Step-by-step explanation:

Required

Which of the lengths do not form a triangle

To do this, we make use of triangle inequality theorem which states that.

[tex]a + b > c[/tex]

[tex]b + c > a[/tex]

[tex]a + c > b[/tex]

Where [tex]a,\ b\ and\ c[/tex] are the sides of the triangle.

So, we have:

[tex]A.\ {28, 30, 58}[/tex]

[tex]28 + 30 > 58[/tex] --- False

[tex]58 + 30 > 28[/tex] --- True

[tex]28 + 58 > 30[/tex] --- True

[tex]B.\ {32, 34, 60}[/tex]

[tex]32 + 34 > 60[/tex] -- True

[tex]32 + 60 > 34[/tex] -- True

[tex]34 + 60 > 32[/tex] -- True

[tex]C.\ {13, 20, 27}[/tex]

[tex]13 + 20 > 27[/tex] -- True

[tex]13 + 27 > 20[/tex] -- True

[tex]20 + 27 > 13[/tex] --- True

[tex]D.\ {2, 4, 5}[/tex]

[tex]2 + 4 > 5[/tex] --- True

[tex]2 + 5 > 4[/tex] -- True

[tex]5 + 4 > 2[/tex] --- True

From the computations above, only (A) cannot form a triangle

Answer:

Step-by-step explanation:

(2x) (4x)= 8x = 3x+2

i think but i dont know if this is an exponential equation

Answer:

a(4) = 1.5(-36) = -54

Step-by-step explanation:

a(1) = -16 is given.

a(n) = 1.5*a(n-1).  

a(2) = 1.5(-16) = -24

a(3) = 1.5(-24) = - 36

a(4) = 1.5(-36) = -54

[tex]\huge{\mathbb{\tt { QUESTION:}}}[/tex]

[tex]\huge{\mathbb{\tt {ANSWER:}}}[/tex]

[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]

[tex]\huge{\mathbb{\tt {EXPLANATION:}}}[/tex]

[tex]a(1) = - 16 \\ a(n) = 1.5 \times a(n - 1) \\ a(2) = 1.5( - 16) = - 24 \\ a(3) = 1.5( - 24) = - 36 [/tex]

[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]

#CarryOnLearning

#LetsEnjoyTheSummer

Answer:

6.6L

Step-by-step explanation:

4x1.75=7L

7L=7000mL

7000-400=6600mL=6.6L

Answer:

-16

Step-by-step explanation:

[tex]28-(\sqrt{44} )^2\\28 - (44)\\-16[/tex]

When you square a square root, the number inside is the answer.

Answer:

Step-by-step explanation:

567 ÷ 12

= 47.25

Answer:

47.25

Step-by-step explanation:

Answer:

a. The probability that a particular student arrives by car is [tex]\frac{1}{20}[/tex] = 0.05, which equals 5%.

b. The probability that a particular student walks to school is [tex]\frac{3}{10}[/tex] = 0.3, which equals 30%.

c. The probability that a particular student does not walk to school is [tex]\frac{7}{10}[/tex] = 0.7, which equals 70%.

d. The probability that a particular student does not walk or come by car is [tex]\frac{13}{20}[/tex] = 0.65, which equals 65%.

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]

In this case, the number of possible cases is always the same, which is equal to the total number of students. So the number of possible cases is 320 students. The number of favorable cases varies as follows:

a. Number of favorable cases= number of students that arrive by car= 16

So: [tex]P(A)=\frac{16}{320}[/tex]

P(A)=[tex]\frac{1}{20}[/tex] = 0.05, which equals 5%

The probability that a particular student arrives by car is [tex]\frac{1}{20}[/tex] = 0.05, which equals 5%.

b. Number of favorable cases= number of students that walk to school= 96

So: [tex]P(A)=\frac{96}{320}[/tex]

P(A)=[tex]\frac{3}{10}[/tex] = 0.3, which equals 30%

The probability that a particular student walks to school is [tex]\frac{3}{10}[/tex] = 0.3, which equals 30%.

c. Number of favorable cases= number of students that do not walk to school = 320 students - number of students that walk to school= 320 students - 96 students= 224 students

So: [tex]P(A)=\frac{224}{320}[/tex]

P(A)=[tex]\frac{7}{10}[/tex] = 0.7, which equals 70%

The probability that a particular student does not walk to school is [tex]\frac{7}{10}[/tex] = 0.7, which equals 70%.

d. Number of favorable cases= number of students that do not walk or come by car= 320 students - number of students that walk to school - number of students that arrive by car= 320 students - 96 students - 16 students= 208 students

So: [tex]P(A)=\frac{208}{320}[/tex]

P(A)=[tex]\frac{13}{20}[/tex] = 0.65, which equals 65%

The probability that a particular student does not walk or come by car is [tex]\frac{13}{20}[/tex] = 0.65, which equals 65%.

Answer:

Below in bold.

Step-by-step explanation:

C1 = 180 - C2

= 180 -  (170-2x)

= 10 + 2x

So B3 = 10+2x (alternate angles).

and B2 = 90 - B3

= 90 - (10 + 2x)

= 80 - 2x.

Answer: THIS IS SO HARD!

Step-by-step explanation:

The required boiling temperature of platinum is 3,739 degrees Celsius.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
a. Let's start by defining a variable for the boiling temperature of zinc, which we'll call z.

According to the problem statement, the boiling temperature of platinum is 199 more than four times the boiling temperature of zinc. In other words,

Boiling temperature of platinum = 4z + 199

So the expression that represents the boiling temperature of platinum in degrees Celsius is:

4z+199

b. The problem tells us that the boiling temperature of zinc is 907 degrees Celsius. So we can substitute this value for z in our expression:

4z+199 = 4(907)+199 = 3,739

Therefore, the boiling temperature of platinum is 3,739 degrees Celsius.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

165 ways

Step-by-step explanation:

Use a choose formula (! stands for factorial):

11!/(3! (11-3)!)

9*10*11/6

165

Answer:

TV #3

Step-by-step explanation:

The others cost more.