Using trial and improvement, find the solution between 5 and 6 for the following equation:

x

2

=

27

Give your answer rounded to 1 DP.

Answer:

√65

Step-by-step explanation:

The distance formula can be represented as

[tex]\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}[/tex]

Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have

[tex]\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}[/tex]

as our answer

Work Shown:

Use the angle bisector theorem

15/(x+2) = 20/(14-(x+2))

15/(x+2) = 20/(-x+12)

15(-x+12) = 20(x+2) .... cross multiply

-15x+180 = 20x+40

180-40 = 20x+15x

140 = 35x

35x = 140

x = 140/35

x = 4 .... answer is choice A

Answer:

4

Step-by-step explanation:

cos^-1(15/20)=41.40962212

41.40962212/2=20.70481106

tan(20.70481106)x15=5.669467097

5.669467097-2=3.669467097

3.669467097 round up

4

Answer:

Step-by-step explanation:

5x-4<10

or, 5x<14

or, x<14/5

so, x<2.8

[tex]\displaystyle\bf 5x-4<10\\\\5x<14\\\\\boxed{x<2,8} \\\\Answer: x<2,8\quad or \quad x\in(-\infty;2,8)[/tex]

Answer:

[tex]x = log_{2}( \frac{4+12 \sqrt{12} }{17} ) [/tex]

Step-by-step explanation:

I have attached the explanation above. hopefully this help

Answer:  [tex]\Large\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}[/tex]

Step-by-step explanation:                                                                                          [tex]\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}[/tex]

To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.

Answer: 1st one and last one

Step-by-step explanation:

Answer:

$12.43

Step-by-step explanation:

Given :

Mean = $8.52

Standard deviation, = $2.38

Stock price which falls beyond 0.05 of the distribution is at the 95th percentile

The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)

We obtain the value of x, with z = 1.645

Using the Zscore relation :

Zscore = (score - mean) / standard deviation

1.645 = (score - 8.52) / 2.38

Cross multiply :

1.645 * 2.38 = score - 8.52

3.9151 = score - 8.52

Score = 8.52 + 3.9151

Score = $12.4351

Stock price beyond 0.05 is $12.43

Answer:

a³-9a

a³-9a

=a(a+3)(a-3)

Answer:

For perimeter you add up the side lengths to get the perimeter but for area you multiply the length times width (L x W )to get area.

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

2x2x2x2x2x2 = 64

Answer:

A)

Step-by-step explanation:

Answer:

no .... 20% is .2 not .02

Step-by-step explanation:

Answer:

x² + 2² =(√15)²

x²+ 4. =15

x² =15-4

x² =11

x. =√11 mi

so the answer is 4th option

Answer:

isnt it 41

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

Since AC || BD

x + 90° = 180°

x = 180 - 90

x = 90°

Answer:

275,128

Step-by-step explanation:

"___ more than 3455" is the same as saying "___ added to 3455"

So it will look something like this:

___ + 3,455 = 278,583

Then rearrange the equation to use subtraction to solve it:

278,583 - 3,455 = ____

Plug it in the calculator or solve it by hand, and you have your answer!

(To double check, add 3,455 and 275,128, and you get 278,583)

Hope it helps (●'◡'●)

Given:

Amount of flour in a bin = 30 cups

Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups

To find:

The correct equation and graph for the given situation.

Solution:

Let F be the amount of flour in the bin and c be the number of signature cakes.

Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups

Flour required for each signature cake = [tex]1.5[/tex] cups

Flour required for c signature cakes = [tex]1.5c[/tex] cups

Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:

[tex]F=30-1.5c[/tex]

At [tex]c=0[/tex], we get

[tex]F=30-1.5(0)[/tex]

[tex]F=30[/tex]

At [tex]F=0[/tex], we get

[tex]0=30-1.5c[/tex]

[tex]1.5c=30[/tex]

[tex]c=\dfrac{30}{1.5}[/tex]

[tex]c=20[/tex]

Therefore, the required equation is [tex]F=30-1.5c[/tex] and the 4th graph is correct.

Total cases = total pallets x cases per pallet

Total cases = 60 x 10 = 600 cases

600 cases - 180 cases = 420 cases left

Answer: 420 cases

Answer:

H

Step-by-step explanation:

When h=0,t=45.

so we can exclude F.

When h=10,t=15.

only H satisfiy the condition.

Answer:

H

The line shows an inverse proportionality between temperature and time:

[tex]{ \tt{t \: \alpha \: \frac{1}{h} }} \\ \\ { \tt{t = \frac{k}{h} }}[/tex]

Slope or change:

[tex] = \frac{45 - 30}{0 - 5} \\ = - 3[/tex]

y-intercept:

[tex]c = 45[/tex]

General equation:

[tex]y = - 3x + 45[/tex]

Answer:

Step-by-step explanation:

Answer:

29.4 is the correct answer, it's rounded up so that you don't have to accidentally get it wrong like I did, lol

Step-by-step explanation:

Step-by-step explanation:

triangle BCA=BAL bcoz Angle BCA= Angle BAL

Answer:

D) 74

Step-by-step explanation:

1c = 6p

1c = 1.5f

1f = 296

6/1.5 = 4

296/4 = 74

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

They appear to be linear so that's easy enough to find out. What we are being asked is to find the equation represented by each table. Knowing that they are linear, we need the slope of each one and then the y-intercept of each one (each "one" being each table). Let's begin with the y-intercept. The y-intercepts exist where x = 0. In the first table, where x = 0, y = -4; in the second table, where x = 0, y = 3.

The equation we will finally fill in is y = mx + b, where m is the slope and b is the y-intercept.

Solving for slope in the first table:

[tex]m=\frac{-4-(-7)}{0-(-1)}=\frac{3}{1}=3[/tex] and the equation for this table is

y = 3x - 4

Solving for the slope in the second table:

[tex]m=\frac{3-4}{0-(-1)}=\frac{-1}{1}=-1[/tex] and the equation for this table is

y = -1x + 3 or just y = -x + 3

That's the system, which happens to be choice D

Answer:

$765

Step-by-step explanation:

[tex]interest \: = \frac{prt}{100} \\ = \frac{(450)(5)(14)}{100} \\ = 315 \\ total \: money \: = 315 + 450 \\ = 765[/tex]

A(n) = 450 + (n – 1)(0.05 • 450); $765.00

Answer:

B.

Step-by-step explanation:

A geometric sequence is where a number is multiplied or divided by same number

in option be all number ar the power of 2 so the correct answer would be B

Answer:

I have absolutely no clue sorry buddy

Step-by-step explanation:

There is no step-by-step explanation

Answer:

Hi

Step-by-step explanation:

I can help you

2. Area of a rectangle 40 cm2

So. We know the area AND one of the sides of the rectangle.

We can calculate the area.

We know that area=length times width

so

A=lw

Rearrange that for w:

w=A/l

w=40:8

w=5

Now we know both l and w

Now we can calculate the perimeter

P=2a+2b

P=2(a+b)

P=2(8+5)

P=2(13)

P=26

I hope it is correct

Answer: 2 and 4 lb

Step-by-step explanation:

Given

There are twice as many cashews as almonds in the can

Cashews costs [tex]\$4.25\ lb[/tex]

Almonds costs [tex]\$3.80\ lb[/tex]

Can costs $24.60

Suppose there are x lb almonds, so there is 2x lb cashews

[tex]\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb[/tex]

Amount of cashews =4 lb

Amount of almonds =2 lb