Calculate the length of AC, to the nearest tenth of a centimeter.

Calculate The Length Of AC, To The Nearest Tenth Of A Centimeter.

Answers

Answer 1

Answer:

AC ≈ 11.0 cm

Step-by-step explanation:

Using Pythagoras' identity in Δ CDE and Δ ADE

CE² + DE² = DC²

CE² + 7² = 8²

CE² + 49 = 64 ( subtract 49 from both sides )

CE² = 15 ( take the square root of both sides )

CE = [tex]\sqrt{15}[/tex]

-------------------------------------------------------

AE² + DE² = DA²

AE² + 7² = 10²

AE² + 49 = 100 ( subtract 49 from both sides )

AE² = 51 ( take the square root of both sides )

AE = [tex]\sqrt{51}[/tex]

Then

AC = AE + CE = [tex]\sqrt{15}[/tex] + [tex]\sqrt{51}[/tex] ≈ 11.0 cm ( to the nearest tenth )


Related Questions

Find the equation of the line that is parallel to the line
y = 3x + 3 and passes through the point (10,1). Write the
equation in slope-intercept form.

Answers

9514 1404 393

Answer:

  y = 3x -29

Step-by-step explanation:

The parallel line will have the same slope: 3. The y-intercept can be found from ...

  b = y -mx

  b = 1 -(3)(10) = 1 -30 = -29

Then the slope-intercept equation is ...

  y = 3x -29

please help I will give brainlist​

Answers

Answer:

Your answer will be B

Step-by-step explanation:

Because you find the difference between 14 and 22 or the difference between 22 and 30 or the difference between 30 and 38. and so on then it will be 8

You then say ok 8 times x so for example 8×1 = 8 then you say ok 22 - 8= 22. So it will be 8x+14...

I hope this helped if not tell me please....❤

Answer: Option B (y=8x+14)

Step-by-step explanation:

To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,

y = 8x

If we insert x = 0 we get,

y = 8(0)

y=0

but in the table it says we get 14 so option A is incorrect

Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,

y=8x+14

y=8(0)+14

y=14

y=8x+14

y=8(1)+14

y=8+14

y=22

y=8x+14

y=8(2)+14

y=16+14

y=30

and so on. Now your answer would be Option B.

THE CREDIT GOES TO (IjlalHashmi)

Solve for B
A= 3( B + C )

Options:
- B= ( A - C )/ 4
- B= ( 3A - C )/ 4
- B= ( A - 3C )/ 3

Answers

B=(A-3C)/3 that’s the correct answer to this question. I hope it helped :)

What is the slope of the line represented by the equation y=-1/2x+1/4?

Answers

Answer:

The slop is - 1/2

Step-by-step explanation:

The slop is what x is multiplied by,

Bonus: What you add is the y interspet , in this case 1/4

Given ix) = 17 - x2, what is the average rate of change in f(x) over the interval [1, 5]?


Answers

Answer:   -6

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

Explanation:

Plug in x = 1

f(x) = 17-x^2

f(1) = 17-1^2

f(1) = 17-1

f(1) = 16

Repeat for x = 5 to find that f(5) = -8

Now we'll use the formula below to find the average rate of change from x = a to x = b.

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]

The average rate of change is -6

The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.

The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)

how many ounces is 13 lbs?​

Answers

Answer:

208 oz

Step-by-step explanation:

So do 16x13=208

13 lbs=208 oz

brainliest pls?

Answer:

its 208 ounces

to form 5 - 4x from x :
to solve 5 - 4x = 17:
the solution to the equation 5-4x=17 is :

Answers

Answer:

x = -3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5-4*x-(17)=0

1.1     Pull out like factors :

  -12 - 4x  =   -4 • (x + 3)

2.1      Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero. 2.2      Solve  :    x+3 = 0

Subtract  3  from both sides of the equation :

                     x = -3

6;10;14
find the next two terms of the sequence​

Answers

Answer:

18

Step-by-step explanation:

Add 4

Answer: 18;22

Step-by-step explanation:

Let's start by finding the common difference.

10-6=4

14-10=4

The common difference is 4 meaning to get to the next numbers we must add 4.

6+4=10

10+4=14

14+4=18

18+4=22

The quotient of a number and 3, increased by 4 is 5, what is the expression

Answers

Answer: The answer would be 3 +n +4 = 5

Step-by-step explanation:

Welcome

Answer:

see explanation

Step-by-step explanation:

let the number be n , then

[tex]\frac{n}{3}[/tex] + 4 = 5

2x=84 what is the value of x

Answers

2x=84 is a one step equation so all u need to do is divided both sides by 2 so the variable can be by itself, so x=42

Answer:

42

Step-by-step explanation:

Since 2x is multiplication, you have to do the inverse (opposite) of that. The opposite of multiplication is division. You have to divide 2 with 84 to find x.

2x=84

----  ----

2      2

x=42

The triangle below is equilateral. Find the length of side x x in simplest radical form with a rational denominator

Answers

Answer:

x = √30

Step-by-step explanation:

We are given an equilateral triangle, so the angles will all be (180/3). = 60

Therefore, the angle opposite x is 60° ; hence. We can use trigonometry to obtain the value of x

Tan θ = opposite / Adjacent

Tan 60 = x / √10

Tan 60 = √3

Hence,

√3 = x / √10

x = √3 * √10

x = √30

Find the side length of x (trigonometry)

Answers

Answer:

x=12.124

Step-by-step explanation:

here 7 and x are the legs of the triangle where as 14 is hypotenuse because it is opposite opposite to 90 degree.

using pythagoras theorem

a^2 + b^2 = c^2

here and b are legs and c is hypotenuse

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 =196-49

x^2 =147

x=[tex]\sqrt{147}[/tex]

x=12.1243

x=12.124 (after converting to the nearest hundredth)

What is 938 written in standard form?


Answers

Answer:

[tex]9.38 \times 10^{2}[/tex]

Step-by-step explanation:

All numbers in scientific notation or standard form are written

                                                                                       [tex]m \times 10^n[/tex],

where m is a number between 1 and 10.

Answer:

[tex]9.38 \times {10}^{2} [/tex]

Step-by-step explanation:

All numbers in standard form are written

[tex]m \times {10}^{n} [/tex]

Hope it is helpful....

Next, verify that point C divides the line in the ratio required by using the distance formula to calculate AC and CB. Show your work.

Answers

Answer:

The ratio of AC : CB is 2 : 3

Step-by-step explanation:

Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:

Using distance formula, it is found that the ratio of AC : CB is 2 : 3

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]   units.

Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:

AC = √[(2.6 -1)² + (1.8 - 1)²]

AC = √[(1.6 )² + (0.8)²]

AC =  2√(0.8)

Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]

CB = 3√(0.8)

Therefore, the ratio of AC : CB is 2 : 3

Learn more about distance between two points here:

brainly.com/question/16410393

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For each of the following quadrilaterals, select all the properties that must be true.

Answers

All have 2 pairs of parallel sides all sides congruent and all have rig angles
2.0gm
This is the answer to the qjestion

I need some help with this please! An explanation would be lovely too!

Answers

Answer:

20

Step-by-step explanation:

if m<ABC is = 40 and BD is besector then m<ABD = 20

20 POINTS PLEASE ANSWER!

Answers

Answer:

area = 15 units ^2

Step-by-step explanation:

you look at width times height (just count the blocks vertical and horizontal)

width = 3 units

height = 5 units

area = 15 units ^2

(pls help i’m suffering) 3.06a Finding Standard Form by Completing the Square
Classify each as Circle, Quadratic (parabola) or other
(x - 5)2 + (v - 2) = 16
= 100
22 - x = 25
(x - 2) - (y + 5)= 10
y = 2x + 5

Answers

Step-by-step explanation:

A circle equation is represented by

[tex]x {}^{2} + {y}^{2} = r {}^{2} [/tex]

A circle have both terms to the 2nd. degree

The 1st equation, 2nd equation, 4th equation are circles.

A quadratic is represented by

[tex] {x}^{2} + bx + c[/tex]

A quadratic equation only has one term that is second degree.( meaning if x and y are both to the 2nd degree, it will not be a quadratic, it will be a circle.

The 3rd equation is a quadratic.

The fifth equation has a leading coefficient at the degree of 1 so it is other(linear)

This language derives from the area of a square being its side length multiplied by itself. The word "quadratic" comes from quadratum, the Latin word for square.

What is a quadratic function?

f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

From the given table we can get the dy/dx which is the slope (m) ,

Therefore,

dy/dx = (7 - 10 ) / ( 4 - 3 )

dy/dx = -3

Now,

( y - y1 ) = m ( x - x1 )

Putting the value from the table,

( y - 10 )  = -3 ( x -5 )

=> y - 10 = -3x + 15

=> 3x + y = 25

To learn more about quadratic function refer

https://brainly.com/question/28870194

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How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?

Answers

Answer:

There are 24 outcomes in the sample space.

Step-by-step explanation:

Suppose that we have some events, such that each one of these events has a given number of outcomes.

If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.

Let's apply this to our case.

Here we have two events:

Rolling a standard number cube: 6 outcomes

Spinning a spinner with 4 equal sections: there are 4 outcomes.

Then the total number of outcomes in the sample space is the product:

C = 6*4 = 24 outcomes.

There are 24 outcomes in the sample space.

the 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio​

Answers

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

Pls help I don’t know how to do this

Answers

The right answer is a i think i don't known step by step

Step-by-step explanation:

a

a

need an answer asap will give the first answer brainliest

Answers

Answer:

The answer would be the first one.

m = -3n

Step-by-step explanation:

Answer:

m = -3n

Step-by-step explanation:

-6 = (-3)2  True

-12 = (-3)4  True

-18 = (-3)6  True

At Marie's Book and Music Store, 7/20 of the sales come from
books, 6/20 of the sales come from music and 3/20 of the sales
come from video games.
What fraction represents the portion of sales from books, music,
and video games?

Answers

the fraction would be 16/20

Michael needs to decide which paint to buy.He found two advertisements, paint A in a 5l drum for R109,95 and paint B in a 20l drum for R599,00.

Which paint will be cheaper per liter?show all calculations.​

Answers

Answer:

paint a is cheaper

Step-by-step explanation:

cost price of 1 liter of paint A = 109,95 / 5L

=21.99

cost price of 1 liter of paint B = 599 / 20L

= 29.95

paint A < paint B

Is 3:5 and 5:7 equivalent


Ratios

Answers

Answer:

no  its not equal

Select the correct answer from each drop-down menu. Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.

Answers

Answer:

a) The equation for the situation = 14.50 = 4.5 + 1.25n

b) The number of oranges she bought = 8 oranges

Step-by-step explanation:

Where n represents the number of oranges.

The equation is written as

Total charge = $0.75 × 6 + $1.25 × n

$14.50 = $0.75 × 6 + $1.25 × n

14.50 = 4.5 + 1.25n

1.25n = 14.5 - 4.5

1.25n = 10

n = 10 / 1.25

n = 8 oranges

HELP ME PLEASEEEEEEEE ASAPPPP !!

Answers

Answer:

C and D

Step-by-step explanation:

Mathematically, a unit circle is one in which the value of the radius is 1 unit

Generally, for a unit circle we have it that;

r^2 = x^2 + y^2

where (x,y) represents the coordinates of a point on the unit circle

But from above, r = 1

Thus:

x^2 + y^2 = 1

Looking at option C, by squaring each coordinate, we have

(6/7)^2 = 36/49 and the second as 13/49

by adding both, we have

36/49 + 13/49 = 49/49 = 1

Thus, we have this as a coordinate on the unit circle

For the last option;

(5/13)^2 = 25/169 and (12/13)^2 = 144/169

Adding both, we have;

25/169 + 144/169 = 169/169 = 1

So this is also a point on the unit circle

In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3 What fraction of the sweets are blue?

Answers

Answer:

5/8

Step-by-step explanation:

SUM OF RATIOS = 5 + 3 = 8

fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8

An icicle is 12 inches long and melts at a rate of 1/4 inch per hour

Answers

Answer:

It will take 48 hours for the entire icicle to melt.

Step-by-step explanation:

12 divided by 1/4 = 48

The linear equation to model the situation is f(x) = -1/4x + 12

Complete question

Write a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.

How to determine the linear equation?

The given parameters are:

Length = 12 inchesRate = 1/4 inch per hour

The above means that:

Y-intercept (c) = 12Slope (m) = -1/4

A linear equation is represented as:

f(x) = mx + c

Where f(x) represents the function and x represents the number of hours.

So, we have:

f(x) = -1/4x + 12

Hence, the linear equation to model the scenario is f(x) = -1/4x + 12

Read more about rate at:

https://brainly.com/question/4931057

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How can you find the area of a circle if you only know the circumference?

Answers

https://youtu.be/3y1U0sntOsI
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