Enter an inequality that represents the graph in the box.

Answer:

Rs.6420

Step-by-step explanation:

we know that A=P(1+r/100)

7488=P(1+8/100)2

7488*10000/108*108=P

P=Rs.6420

Answer:

Principal=Rs.45000 ; And Amount=Rs.52488.

Step-by-step explanation:

For finding Principal i used the formula:[ x(1+8/100)^2-x] =C.I ( where x = P)

And for Amount : Sum of principal and interest.

Hope so, you liked my solution.

Answer:

Real and unequal

Step-by-step explanation:

We are tasked with finding the nature of the roots of the given quadratic equation.

The given quadratic equation is;

x^2 -5x -7

Firstly, we should know that we cannot solve this by factorization, as we will run into problems.

Now the catch is, although we cannot solve by factorization, we can solve by using the quadratic formula.

Now let’s check if our roots are imaginary or real.

For the roots to be imaginary or real, we will work with calculating the value of the expression b^2 -4ac

The value of this would tell us the nature of the roots. While a negative value would tell us the roots are imaginary, a positive value will tell us the roots are real.

So from the question, b = -5( coefficient of x) , while c = -7 and a = 1 ( coefficient of x^2)

Plugging these values into the equation, we have;

-5^2 - 4(1)(-7) = 25 + 28 = 53

This tells us the roots are real

The last issue is to know if the roots are equal or not.

The roots cannot be equal. This is because the term b^2 - 4ac would be in the root and yield a positive and a negative value which cannot give equal answers when added to (-b)

This from the quadratic formula;

x = {-b ± √(b^2-4ac)}/2a

Part G

The two angles ABD and DBC form a straight line, so the angles add to 180 degrees.

Let's solve for x.

angle ABD + angle DBC = 180

(0.5x+20) + (2x-10) = 180

2.5x+10 = 180

2.5x = 180-10

2.5x = 170

x = 170/2.5

x = 68

Then we'll use this to find angle ABD

angle ABD = 0.5*x + 20

angle ABD = 0.5*68 + 20

angle ABD = 34 + 20

angle ABD = 54

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

Part H

Use the value of x we found back in part G to find the measure of angle DBC

angle DBC = 2x - 10

angle DBC = 2(68) - 10

angle DBC = 136 - 10

angle DBC = 126

An alternative is to subtract the measure of angle ABD from 180

angle ABD + angle DBC = 180

angle DBC = 180 - (angle ABD)

angle DBC = 180 - 54

angle DBC = 126

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

Part I

This time, the two angles add to 90 degrees as shown by the square corner marker.

(angle XYW) + (angle WYZ) = 90

(1.25x - 10) + (0.75x + 20) = 90

2x + 10 = 90

2x = 90-10

2x = 80

x = 80/2

x = 40

which then leads to,

angle XYW = 1.25*x - 10

angle XYW = 1.25*40 - 10

angle XYW = 50 - 10

angle XYW = 40

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

Part J

We can subtract the result of part I from 90 degrees to get the answer

angle WYZ = 90 - (angle XYW)

angle WYZ = 90 - 40

angle WYZ = 50

Or we could plug the x value x = 40 into the expression for angle WYZ

angle WYZ = 0.75*x + 20

angle WYZ = 0.75*40 + 20

angle WYZ = 30 + 20

angle WYZ = 50

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

Summary:

The answers we found were

Answer:

G. m∠ABD = 54°

H. m∠DBC = 126°

I. m∠XYW = 40°

J. m∠WYZ = 50°

Step-by-step explanation:

∠ABD and ∠DBC are supplementary angles. This means their angles have a sum of 180°.

[tex]\frac{1}{2}x+20+2x-10=180\\\frac{5}{2}x+10=180\\\frac{5}{2}x=170\\x=68[/tex]

m∠ABD = 1/2(68) + 20 = 34 + 20 = 54

m∠DBC = 2(68) - 10 = 136 - 10 = 126

Same concept for ∠XYW and ∠WYZ only this time they are complementary angles. This means their angles have a sum of 90°.

[tex]1\frac{1}{4}x-10+\frac{3}{4}x+20=90\\2x+10=90\\2x=80\\x=40[/tex]

m∠XYW = 1 1/4(40) - 10 = 50 - 10 = 40

m∠WYZ = 3/4(40) + 20 = 30 + 20 = 50

Answer:

(1, 2)

Step-by-step explanation:

'Undo' the rule on the image to get the pre-image.

[tex](4,3)\rightarrow(4-3,3-1)\rightarrow\boxed{(1,2)}[/tex]

(1,2) would be the pre-image to (4,3).

To see if it's correct:

[tex](1,2)\rightarrow(1+3,2+1)\rightarrow(4,3)[/tex]

(1,2) should be correct.

Answer:

the correct answer is (1,2)

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is 90 deg.

There are three 90-deg angles in the quadrilateral, so the 4th angle must also measure 90 deg.

Answer: 90°

Based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

The tangent theorem states that an angle of 90 degrees is formed at the point of tangency where a tangent meets the radius of a circle.

YX and WX are tangents of the circle.

m∠Y = m∠W = 90°

Sum of interior angles of a quadrilateral is 360°

m∠X = 360 - 90 - 90 - 90

m∠X = 90°

Therefore, based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

Learn more about the tangent theorem on:

https://brainly.com/question/9892082

Answer:

5 5/7

Step-by-step explanation:

Convert it to fractions:

30/7 and 4/3

Now multiply.

120/21

Simplify it:

5 5/7

Answer:

Step-by-step explanation:

Why?

Because if you multiplied any irrational number by 0 will be equal to 0 and 0 is rational number.

For example, 5.6371...... x 0 = 0

Answer:

120°

Step-by-step explanation:

We can see that b=a by opposite exteriors.

So a+1/2a=180

1.5a=180

a=180/1.5=120

And since b and a are equal, b also equals 120°

Answer:

acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]

Step-by-step explanation:

The acceleration is the change in velocity per unit of time.

Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:

[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]

so in this case the acceleration becomes:

[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]

Answer:

[tex]4 - \frac{4}{7} \\ \frac{4 \times 7 - 4}{7} \\ \frac{28 - 4}{7} \\ \frac{24}{7}

I hope it helped U

stay safe stay happy

Answer:

43y

Step-by-step explanation:

31y+12y

combine like terms

Factor out y

y( 31+12)

y (43)

43y

Since we are dealing with two numbers with the same variable (y), all we need to do is combine like terms.

31y + 12y = 43y

Best of Luck!

Answerb

Step-by-step explanation:

yeal

Answer:

The volume of the irregular figure would be 144 [tex]cm^3[/tex].

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 [tex]cm^3[/tex], and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 [tex]cm^3[/tex]. So the volume of the entire irregular figure would be 108 + 36 = 144 [tex]cm^3[/tex].

Answer:

144 cm^3

Step-by-step explanation:

Large rectangle:

12 × 3 × 3 = 36 × 3 = 108

Small rectangle:

7 - 3 = 4

4 × 3 × 3 = 12 × 3 = 36

Both:

36 + 108 = 144

Hope this helped.

Answer:

200

Step-by-step explanation:

i multiplied the answer choices by the fractions and 200 was the one that checked out

Answer:  Irrational

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

Explanation:

Let's assume that pi+1 is rational

If so, then pi+1 = m/n where m and n are integers and n is not zero.

Let's isolate pi

pi+1 = m/n

pi = (m/n) - 1

pi = (m/n) - (n/n)

pi = (m - n)/n

This says that pi is rational, as it's in the form integer/integer. But in reality, pi is irrational. The decimal form of pi goes on forever without any known pattern.

So going back to the assumption where we said "pi+1 is rational", that assumption can't be true. If it were true, then it leads to a contradiction. Therefore, pi+1 is irrational.

[tex]\huge\text{Hey there!}[/tex]

[tex]\boxed{\huge\text{\boxed{\mathsf{\pi + 1}}}}\\\boxed{\boxed{\huge\text{\boxed{= \mathsf{3.141593 + 1}}}}}\\\\\boxed{\boxed{\huge\text{\boxed{= \bf 4.141593}}}}\\\\\boxed{\huge\text{\boxed{\pi \approx \bold{3.14}\ \& \ 3.14 + 1\ is \approx \bf \underline{\underline{4.14}}}}}[/tex]

[tex]\huge\bullet\huge\text{ Pi \boxed{\pi} is an irrational number so any}\\\huge\text{real numbers (0 \& up) cannot be}\\\huge\text{indicated (expressed) by the clearer}\\\huge\text{(simple) fraction\bf (s)}[/tex]

[tex]\boxed{\boxed{\huge\text{To \underline{ANSWER} Your question it is: \bf \underline{\underline{irrational}}}}}\huge\checkmark[/tex][tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\boxed{\huge\text{\boxed{\frak {Amphitrite1040:)}}}}[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is helpful to understand that the product of the binomial factors is ...

  (ax +b)(cx +d) = ac·x² +(ad+bc)x +bd

For these problems you only need to look at the constant and the leading coefficient to find the missing values.

__

1. d = 8/-4 = -2

2. b = -24/(3·2·d) = -4; c = 3/(3·a) = 1

3. a = 2/c = 1; d = -24/b = 6

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

so, what's the difficulty ?

the product of two things means a multiplication. something times something else.

the product of 8 and Vanessa's savings is therefore expressed as ("×" is the multiplication symbol)

8 × v

and five more than that means just to add 5 to that.

so, in total, we have

8 × v + 5

remember that multiplications and divisions must be executed before any +/- operations (except for any brackets telling us otherwise).

Answer:

b = 60

Step-by-step explanation:

The sum of the angles of a triangle are 180

80+40+b = 180

Combine like terms

120+b =180

Subtract 120 from each side

b = 180-120

b = 60

Answer:

60°

Step-by-step explanation:

Recall that all triangles have an interior angle sum of 180. In other words:

[tex]\angle A+\angle B +\angle C = 180[/tex]

Plug in the angle values we know:

[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]

Answer:

Step-by-step explanation:

(9-5)/6-4)= 4/2= 2

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 3 is the solution

Answer:

the answer is y = –2x – 5 hope this helps:) give brainliest if it does

Step-by-step explanation:

i got it right on edge

Answer:

360,000

Step-by-step explanation:

When you square something you multiply it by itself. With that in mind, 600 square or 600^2 would be 600x600 which equals 360,000. Please mark as brainliest.

Answer:

9hrs 11hrs 19hrs

Step-by-step explanation:

just took the quiz on edge 2020

Answer:

9 hours, 11 hours, 19 hours.

Answer:

Interior angles are inside. Exterior angles are outside.

Step-by-step explanation:

"Interior" means inside. "Exterior" means outside.

Answer:

inside, outside

Step-by-step explanation:

Answer:

as written

[tex]\frac{6}{x} -3[/tex]  zero would not be allowed....

BUT !!! I think that your question

is ......

[tex]\frac{6}{x-3}[/tex]    then the answer is "3"

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

NL and KM are the two lines intersecting at a point P.

Therefore, ∠KPN ≅ LPM [Vertical angles]

In ΔPLM,

m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]

m∠LPM + 70° + 60° = 180°

m∠LPM + 130° = 180°

m∠LPM = 180° - 130°

m∠LPM = 50°

Therefore, m∠KPN = 50° [vertical angles]

Option (B) will be the correct option.

The value of KPN will be 50°.

It should be noted that the sum of the angles that are in a triangle is 180°.

Therefore, looking at the angles, the measure of KPN will go thus:

KPN + 70° + 60° = 180°

KPN + 130° = 180°

KPN = 180° - 130°

KPN = 50°

Therefore, KPN will be 50°.

Read related link on:

https://brainly.com/question/17226102

Answer:

T'(-1, -3)

U'(-8, -3)

V'(-9, -10)

W(1, -10)

Step-by-step explanation:

For each point, draw a segment from it to the line y = -x and perpendicular to the line, and extend it the same distance to the other side of the line.

T'(-1, -3)

U'(-8, -3)

V'(-9, -10)

W(1, -10)

Answer:

600 numbers

Step-by-step explanation:

For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.

However, 0 cannot be used as the first digit, because it would make a 5-digit number.

Therefore

there are 5 choices for the first digit (exclude 0)

there are 5 choices for the first digit (include 0)

there are 4 choices for the first digit

there are 3 choices for the first digit

there are 2 choices for the first digit

there are 1 choices for the first digit

for a total of 5*5*4*3*2*1 = 600 numbers