If the length of AB is 10 cm from the center and has a length of 12, find the approximate length from the center to CD.​

Answer:

C   19.2

Step-by-step explanation:

Corresponding parts have the same proportion

x/24 = 20.8/26

multiply both sides by 24

x = 20.8/26 * 24

x = 19.2

Answer:

C

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DF}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values

[tex]\frac{x}{24}[/tex] = [tex]\frac{20.8}{26}[/tex] ( cross- multiply )

26x = 499.2 ( divide both sides by 26 )

x = 19.2 → C

Answer:

Problem 1:

Width of the larger version = 2.99 in.

Problem 2:

Friday = 5⅞ miles

Step-by-step explanation:

Problem 1:

Since the cell-phones are similar in shape and the width and length of both are proportional, therefore:

Width of the bigger phone/Width of the smaller phone = length of the bigger phone/length of the smaller phone

Width of smaller phone = 2.6 in.

Length of smaller phone = 5.4 in.

Width of bigger phone = x = ? in.

Length of bigger phone = 6.21 in.

Therefore:

6.21/5.4 = x/2.6

Cross multiply

5.4 × x = 2.6 × 6.21

5.4x = 16.146

Divide both sides by 5.4

x = 16.146/5.4

x = 2.99

Width of the larger version = 2.99 in.

Problem 2:

Jen's goal for the 5 days = 22 miles

The number of miles she ran Mon to Thursday was given.

To meet her goal, let's find the number of miles she has to run to meet her goal.

Thus:

Number of miles to run on Friday = 22 - (4¾ + 5⅛ + 0 + 6¼)

Change to improper fraction

= 22 - (19/4 + 41/8 + 0 + 25/4)

= 22 - ((38 + 41 + 0 + 50)/8)

= 22 - 129/8

= (176 - 129)/8

= 47/8

= 5⅞ miles

Answer:

35 marbles were blue

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

Answer:

_7 + 3 = 3 + 7 : commutative property,[if something is added or subtracted]

0 +5 _ = 5 is it: identity property.[if 0 is added or subtracted]

2 + (6 + 8) =(2 + 6)+ _8 associated property

[if added or multiplied]

Answer:

A(an)   altitude    of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)

Step-by-step explanation:

AN ALTITUDE -  An altitude of a triangle is a line segment that passes through a vertex and is perpendicular to (i.e. forms a right angle with) the base line (the side opposite the vertex). The expanded base of the altitude is the line that contains the opposing side. The foot of the altitude is the point where the extended base meets the altitude. The area of a triangle can be calculated using altitudes: one half of the product of an altitude's length and its base's length equals the triangle's area. As a result, the longest altitude is perpendicular to the triangle's shortest side. Through trigonometric functions, the heights are also connected to the triangle's sides.

Hence , the answer is an altitude .

Answer:

The formula for the volume of a triangular prism is:

V=(l)(w)(h)

Where l is the length of the triangle, w is the width of the triangle, and h is the height of the prism

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

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Answer:

large = 12

medium = 18

Step-by-step explanation:

L + M = 30 => L = 30-M

4L+3M =102

substitute : L with M

=> 4(30-M)+3M =102

120-4M+3M = 102

- M = 102-120

-M = -18

=========> M = 18, L = 12

Answer: D) f(z) = 7 to the power of 2.

Answer:

9.3 x 10⁷

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9.3 x 10 to the 7th power

Answer:

8) 10 15/16 ft³

9) 20 5/6 ft³

Step-by-step explanation:

Volume of a rectangular prism is

l * b * h,

Question 8

We're given the area

Area = l * b

So we substitute the area for length and breadth.

Volume = Area * height

Volume = 4 3/8 * 2 1/2

Volume = 35/8 * 5/2

Volume = 175/16

Volume = 10 15/16 ft³

Question 9

Volume = 5 * 1 2/3 * 2 1/2

Volume = 5 * 5/3 * 5/2

Volume = 5 * 25/6

Volume = 125/6

Volume = 20 5/6 ft³

Answer:

x=19

Step-by-step explanation:

okay so all those angles there are pretty simple. because of the vertical angles theorem, the angles that go across from each other are equal to each other. On a thing like this those intersections are congruent. So knowing this we can assume that (6x+4)=118. so if you solve the basic algebra for that (you can use mathpapa or smt if you really need the work for that) then it comes out as x=19 which you can check.

6x+4=118

subtract 4 from both sides

6x=114

divide by 6 on both sides

x=19

Hope this helps!

Answer:

5-x

Step-by-step explanation:

you will simplify the eq. it will be (x+8)-(x+8)(x-4)

taking (x+8) as common(1-x+4)

(x+8)(5-x)

Answer:

Solution given.

centre (h,k):(-6,1)

radius (r)=2

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+6)²+(y-1)²=2²

(x+6)²+(y-1)²=4 is a required equation of a circle.

Answer:

A) f(x)=x/(x-6)^2 over the interval [3, 5]

Step-by-step explanation:

got it right on edge :) good luck!

Answer:

A

Step-by-step explanation:

got it on edge!!

Answer:

0.125 ?

Step-by-step explanation:

Answer: The Answer Is 54 ft2

Answer:

54

Step-by-step explanation:

A=1/2(b)(h)

Answer:

D. He should survey all the students in all the history classes to make sure he collects enough data.

Step-by-step explanation:

correct on edge 2021

Answer:

a is correct ................

Given:

[tex]a_n[/tex] is an arithmetic sequence.

To find:

The value of [tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex].

Solution:

We have,

[tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex]

It can be written as:

[tex]=\dfrac{d}{d}\left[\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{d}{a_1a_2}+\dfrac{d}{a_2a_3}+...+\dfrac{d}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_2-a_1}{a_1a_2}+\dfrac{a_3-a_2}{a_2a_3}+...+\dfrac{a_{40}-a_{39}}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_2}+\dfrac{1}{a_2}-\dfrac{1}{a_3}+....+\dfrac{1}{a_{39}}-\dfrac{1}{a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_{40}-a_1}{a_1a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_1+(40-1)d-a_1}{a_1a_{40}}\right][/tex]       [tex][\because a_n=a_1+(n-1)d][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{39d}{a_1a_{40}}\right][/tex]

[tex]=\dfrac{39}{a_1a_{40}}[/tex]

Therefore, the value of given expression is [tex]\dfrac{39}{a_1a_{40}}[/tex].

Answer:

3

Step-by-step explanation:

Answer:

The stone will hit the water after 3 seconds

Step-by-step explanation:

Given

[tex]y = -5x^2 + 10x +15[/tex]

Required

At what time will the stone enter the water

When the stone enters the water;

[tex]y = 0[/tex]

So, we have:

[tex]-5x^2 + 10x +15 = 0[/tex]

Divide through by -5

[tex]x^2 -2x -3 = 0[/tex]

Expand

[tex]x^2 +x -3x -3 = 0[/tex]

Factorize

[tex]x(x +1) -3(x +1) = 0[/tex]

Factor out x + 1

[tex](x -3) (x +1) = 0[/tex]

Solve for x

[tex]x - 3 = 0\ or\ x + 1 = 0[/tex]

[tex]x = 3\ or\ x = -1[/tex]

x (time) cannot be negative.

So:

[tex]x = 3[/tex]

Answer:

Slope = 2/7

y-intercept = 0

Proportional = yes

It is proportional since we require no additional terms to get y from x and we can multiply each x term by a certain factor to get the y values

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope and b is the y-intercept

From what we can see, the slope of the given line is 2/7

As we can see, there is no y-intercept; so the y-intercept value is 0

As we can see, we can multiply each x value by 2/7 to get the corresponding y-value

What this mean is that both variables are proportional

Answer:

12 .

Step-by-step explanation:

12