find the length of the unknown side. round to the nearest tenth​

Answer:

proportional

Step-by-step explanation:

The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given two quadrilaterals PQRS and JKLM.

Since the shape is similar, the angles are equal and thus are similar figures.

The corresponding sides of two similar figures are proportional.

Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5

Using the proportional rule for similar figures,

KL / QR = LM /RS  = MJ / SP = JK / PQ

15 / 12 = x / 10 = y / 16 = 25 / w

Scale factor = 15/12 = 5/4

Consider 15 / 12 = x / 10.

12x = 150

x = 12.5

Consider 15 / 12 = y / 16

12y = 15 × 16

y = 20

Consider 15 / 12 = 25 / w

15w = 12 × 25

w = 20

Hence the option d is the correct answer.

Learn more about Scale Factor here :

https://brainly.com/question/3819163

#SPJ3

Answer:

25 units should be right

Step-by-step explanation:

prove me wrong

Answer:

first and second

Step-by-step explanation:

asymptote of 1/x is y= 0 and x=0 (buut x=0 isn't on here)

asymptote of 5/x-1 is the same as 1/x-1, so y = -1 and x= 0

you can graph it on desmos

Answer:

26

Step-by-step explanation:

7x - 28 = 5x + 12 and 5x + 12 + y = 180

The angle (7y - 28) and angle y are supplementary angles which means their sum is 180°

7y - 28 + y = 180 add like terms

8y - 28 = 180 add 28 to both sides

8y = 208 divide both sides by 8

y = 26

Answer:

Where is the problem to solve?

Step-by-step explanation:

Answer:

-10 gal/h

Step-by-step explanation:

   Rate of change for the number of gallons of fuel remaining and the number of hours the truck has driven is (-10) gallons per hour.

 Option (2) will be be the answer.

  Average rate of change of a function is given by the expression,

Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Two points are (0, 200) and (2.5, 175),

Average rate of change = [tex]\frac{175-200}{2.5-0}[/tex]

                                        = [tex]-\frac{25}{2.5}[/tex]

                                        = -10 gallons per hour

  Therefore, average rate of change for the given table will be Option 2. (-10) gallons per hour.                  

Learn more,

https://brainly.com/question/2530409

Answer:

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

Step-by-step explanation:

Given that:

Distance walked from school to Bocas house = 1/4 miles

Distance walked from Paul's house to the park = 4/6 miles

Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]

Total distance walked = [tex]\frac{3+8}{12}[/tex]

Total distance walked = [tex]\frac{11}{12}[/tex] miles

Hence,

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

Answer:

you have too see what makes 36, 42 ,48 and 27

Step-by-step explanation:

Answer:

89.14

Step-by-step explanation:

Answer:

this is only 15points but ok

Step-by-step explanation:

answer: D)

Answer:

The answer should be 15.

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex]  as the product of square roots. [tex]\sqrt{5^{2} }[/tex]   [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].

[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.

[tex]\sqrt[15]{5}[/tex]

Answer:

15.20feet

Step-by-step explanation:

Length of the ladder = 16foot (hypotenuse)

BAse of the ladder from the house = 5feet (adjacent)

height of the house = x (opposite)

Using the pythagoras theorem

hyp^2 = opp^2 + adj^2

16^2 = 5^2 + opp^2

256 = 25 + opp^2

opp^2 = 256-25

opp^2 = 231

opp =√231

opp = 15.20

Hence the house is 15.20feet high up the house

Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

Answer:

1/2 or one half

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

To find the slope of a line, divide yB - yA by xB - xA.

(yB - yA)/(xB - xA)

(2 - 5)/ (-2 - 4)

-3/-6

Dividing two negatives make a positive.

0.5

The slope is 0.5, or 1/2.

Answer:

2,500 grams

Step-by-step explanation:

2.5 kilograms = 2,500

Therefore, the laptop is 2,500 kilograms.

hope i helped

B.

explanation:

whhdhdhdhehehgaahakkabdvdvhabs

Answer:

7.41

Step-by-step explanation:

Vertical component:

S = 268.8

U = 0

V =?

A = 9.8

T=?

S = ut + 0.5at^2. u = 0

268.8 = 0.5x9. 8xt^2

T = 7.41 seconds

Answer:

4.42 seconds is the correct answer

Step-by-step explanation:

9514 1404 393

Answer:

  V = (x)(10-2x)² . . . . factored form

  V = 4x³ -40x² +100x . . . . standard form

Step-by-step explanation:

A square with corners cut out has no volume. It is a plane figure.

__

We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...

  V = LWH = (10-2x)(10-2x)(x)

  V = x(10 -2x)²

_____

The graph shows the volume is a maximum when x = 1 2/3 cm.

Answer:

.13

Step-by-step explanation:

172-162 = 10  

We can find the standard deviation of D by adding the variances of the heights and taking the square root:

σ  

D

2

​  

σ  

D

2

​  

σ  

D

​  

​  

=σ  

M

2

​  

+σ  

W

2

​  

=7.2  

2

+5.4  

2

square root of 81

=9

​  

Representing probability with area

When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:

A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.

normalcdf:

lower bound: −9999

upper bound: 0

μ=10

σ=9

​  

Using subtraction of normal variables, it is found that there is a 0.1335 = 13.35% probability that the woman is taller than the man.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of the women being taller is P(X > 0), which is 1 subtracted by the p-value of Z when X = 0.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-10)}{9}[/tex]

[tex]Z = 1.11[/tex]

[tex]Z = 1.11[/tex] has a p-value of 0.8665.

1 - 0.8665 = 0.1335

0.1335 = 13.35% probability that the woman is taller than the man.

A similar problem is given at https://brainly.com/question/22934264

Answer:

Yes

Step-by-step explanation:

10% chance does not mean it is always 10 percent. 10 percent is the theoretical property. The experimental probability can be different than the theoretical property.

Answer: 4/6, 6/9, 8/12, 10/15, 12/18, 14/21

Step-by-step explanation:

These r just a few hope this helps ;)

Answer:

A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]

Step-by-step explanation:

From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:

[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)

Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:

[tex]x+2 = C\cdot (y-1)^{2}[/tex]

[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]

The correct answer is A.

Answer:

A

Step-by-step explanation:

Hopefully this helps

STORE B BECAUSE LOW RATES IS BETTER THAN HIGH

Answer:

30x-6-6x-30

30x-30x-6-6

0-12

-12

Answer: Their is 5 seats in 1 row.

Step-by-step explanation:    9x5=45 and 45÷9=5

Answer:

The Fourth One.

The one with 3 lines, 1 intersecting the origin, one in quadrant 1, one in quadrant 3

hope it helps!