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Math 8th Grade

Answer:

d = A or 49

Step-by-step explanation:

25^2 =625

24^2 = 576

625-576= 49 or 7^2

Answer:

No, as the one becomes x^2/x^3 and the other is x^3/x^2, which is not equivalent.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

z = 2

4z^2- 3z - 4

4(2)^2 - 3(2) - 4

4(4) - 3(2) - 4

16 - 6 - 4

6

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Answer:

24000

Step by step

20×10×80 = 16000+ 40×10×20=8000 = 24000

Answer:

The missing number in the sequence is 20

Step-by-step explanation:

The difference between the numbers are as follows: 3,4,5,6,7

The missing number of the given sequence is 13.

The given sequence is,

2, 5, 9, 14, 27

We can see that the difference between each consecutive number is increasing.

The difference between 2 and 5 is 3,

The difference between 5 and 9 is 4,

The difference between 9 and 14 is 5,

And the difference between 14 and 27 is 13.

Therefore, it's possible that the next number in the sequence could have a difference of 14 or more.

So,

To determine the missing number,

We can look at the pattern of the differences between the numbers in the sequence.

Since the difference between 14 and 27 is 13,

We can assume that the difference between the missing number and 27 is at least 14.

Therefore, we can subtract 14 from 27 to get our missing number, which is 13.

To learn more about sequence visit:

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Answer:

Area of sector DFE = 177.79cm²

Area of sector DGE = 437.65cm²

Step-by-step explanation:

Find the diagram attached;

Area of the sector is expressed according to the formula;

Area of the sector = theta/360 * πr²

theta is the central angle = 360 - 256

theta = 104°

r is the radius = 14cm

Substitute into the formula as shown;

Area of the sector = theta/360 * πr²

Area of the sector DFE = 104/360 * 3.14(14)²

Area of the sector DFE = 0.289 * 615.44

Area of the sector DFE = 177.79cm²

Hence the area of the sector <DFE to the nearest hundredth is 177.79cm²

For sector DGE:

Area of the sector DGE = 256/360 * 3.14(14)²

Area of the sector DGE = 0.7111 * 615.44

Area of the sector DGE = 437.65cm²

Hence the area of the sector <DGE to the nearest hundredth is 437.65cm²

Answer:

32/40 = 24/x  

x=30

Answer:

30

Step-by-step explanation:

32x= 40•24

32=960

X=30

Answer:

The value of a₁₀ is -1158

Step-by-step explanation:

a₃ = 18

a₆ = - 486

Now,

a₃ = 18 can be written as

a + 2d = 18 ...(1) and

a₆ = - 486 can be written as

a + 5d = - 486 ...(2)

Now, from equation (2) we get,

a + 5d = - 486

a + 2d + 3d = - 486

18 + 3d = - 486 (.°. a + 2d = 18)

3d = - 486 - 18

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + 2d = 18

a + 2(-168) = 18

a - 336 = 18

a = 18 + 336

a = 354

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 354 + 9(-168)

a₁₀ = 354 - 1512

a₁₀ = -1158

Thus, The value of a₁₀ is -1158

-TheUnknownScientist

Answer:

w=-5

Step-by-step explanation:

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

Answer:

y = -7x + 1

Step-by-step explanation:

Remember the formula for slope-intercept form: y = mx+ b

m is equal to the slope value

b is equal to the y-intercept value

Meaning, when you substitute the values in, you get:

y = -7x + 1

Answer:

y = -7x - 1 is the desired equation.

Step-by-step explanation:

Choose the form of the equation of a straight line that requires the least amount of work.  In this particular case we are given the slope (-7) and the y-intercept (1), and so use the slope-intercept form y = mx + b:

y = -7x - 1 is the desired equation.

Answer:

3 and 4

36 and 48

Step-by-step explanation:

you got the 1 wrong

should be 5 and 4

20 and 16

Answer:

-3+4x<=-11

No more than is <=

The inequality ​for the sum of-3 and four times a number is no more than -11 is -3 + 4x ≤ -1.

The relationship between two expressions or values which are not equal is called inequality. It shows how many times one expression is less than or equal, or greater than another expression.

Let the unknown variable is  [tex]x[/tex].

According to the question,

The sum of -3  and four times of number be [tex]4x - 3\\[/tex] is less than -11.

So, the equation will be,

[tex]- 3 + 4 x < -11[/tex].

Thus, the inequality will be [tex]- 3 + 4 x < -11[/tex] .

Learn more about inequality here:

https://brainly.com/question/30231017

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Answer: Radius is 15.9975 meters.

Step-by-step explanation:

The formula to find radius of circle is r=[tex]\sqrt{A/\pi }[/tex] so plug in our known variables and solve...

r=[tex]\sqrt{804/\pi }[/tex]

r=[tex]\sqrt{255.9211}[/tex]

r=15.9975

Answer:

30.1°

Step-by-step explanation:

Let A = angle of elevation

tan A = 55/95

A = arctan 55/95

    = 30.1°

Answer:

5.7 unit

Step-by-step explanation:

From the question,

Applying pythagoras theorem,

a² = b²+c²....................... Equation 1

From the diagram.

a = /QX/, b = /XR/, c = /RQ/

Given: b = /XR/ = 4 units, c = /RQ/ = 4 units.

Substitute these values into equation 1

a² = 4²+4²

a² = 16+16

a² = 32

a = [tex]\sqrt{32}[/tex]

a = 5.7 units

Hence, QX = 5.7 units

Answer:

p = 63

Step-by-step explanation:

3Q = p - 21

transfer the -21 to the left as the value of Q. Since it was negative, when we transfer it to the left it will turn to poditve so,

3(21) = p

multiply 3 and 21 so 3 multiplied by 21 is equal to,

63 = p, then the answer is p = 63

Answer:

The statement which is true about the angles in the figure is;

The measure of Angle 4 is 137 degrees

Step-by-step explanation:

From the question diagram, we have;

The interior angles of the triangle are;

43°, 56°, and ∠1

Therefore, by the angle sum theorem, we have;

∠1 = 180° - 43° - 56° = 81°

∠1 = 81°

The measure of ∠1 is 81°

By the sum of angles on a straight line, we have;

∠1 + ∠2 = 180°

∴ 81° + ∠2 = 180°

∠2 = 180° - 81° = 99°

The measure of ∠2 is 99°

Similarly, for the angles 56° and ∠3 which are on a straight line, we have;

56° + ∠3 = 180°

∠3 = 180° - 56° = 124°

The measure of ∠3 is 124°

For the angles 43° and ∠4 which are on a straight line, we have;

43° + ∠4 = 180°

∠4 = 180° - 43° = 137°

The measure of ∠4 is 137°

Therefore the true statement is the measure of angle 4 is 137 degrees.

Answer:

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Step by Step Explanation:

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Step-by-step explanation:

Does this help?

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Answer:

6 loads

Step-by-step explanation:

Answer:

she will need to do 6 loads

Answer:

8%, 234 miles , 100%

Step-by-step explanation:

X/100 x 325 = 26, X/100 = 0.08, X = 8%

.

0.72 x 325 = 234 miles

.

3rd i guess the question itself is wrong but answer it by 100%

Answer:

Percentage = 8%

Step-by-step explanation:

At 26 miles, Lin's family completed 8% of the trip’s distance

1. Let's review the information given to us to answer the question correctly:

Distance from Lin's home to her grandmother's house = 325 miles

2. At 26 miles, what percentage of the trip’s distance have they completed?

Percentage = Distance covered/Total distance * 100

Replacing with the values we know:

Percentage = 26/325 * 100

Percentage = 0.08 * 100

Percentage = 8%

Answer:

b =  3.55 to the nearest hundredth.

Step-by-step explanation:

b / sin B = c / sin C

b / sin 45 = 5 / sin 95

b = 5 sin 45 / sin 95

= 3.549.

Answer:

In seven years the hourly rate will be $15.79.

Step-by-step explanation:

Giving the following information:

Hourly rate= $10.5

Number of periods= 7 years

Increase rate (i)= 6%

To calculate the hourly rate in 7 years, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 10.5*(1.06^7)

FV= $15.79

In seven years the hourly rate will be $15.79.

Answer:

See Below.

Step-by-step explanation:

We are given that A, B, C, and D are the midpoints of sides PQ, QR, RS, and SP, respectively.

And we want to prove that ABCD is a parallelogram.

By the definition of midpoint, this means that:

[tex]SD\cong DP, \, PA\cong AQ, \, QB\congBR, \, \text{ and } RC\cong CS[/tex]

To prove, we can construct a segment from S to Q to form SQ. This is shown in the first diagram.

By the Midpoint Theorem:

[tex]DA\parallel SQ[/tex]

Similarly:

[tex]CB\parallel SQ[/tex]

By the transitive property for parallel lines:

[tex]DA\parallel CB[/tex]

Likewise, we can do the same for the other pair of sides. We will construct a segment from P to R to form PR. This is shown in the second diagram.

By the Midpoint Theorem:

[tex]AB\parallel PR[/tex]

Similarly:

[tex]DC\parallel PR[/tex]

So:

[tex]AB\parallel DC[/tex]

This yields:

[tex]DA\parallel CB\text{ and } DC\parallel AB[/tex]

By the definition of a parallelogram, it follows that:

[tex]ABCD\text{ is a parallelogram.}[/tex]

Answer:

this is your answer look it once

Step-by-step explanation:

We need to find x in this question.

x - 4 = -3

So, shifting -4 from one side to another, we get:-

x = -3 + 4

[+4 because the sign changes when we replace the numbers]

x = 4 - 3

x = 1 is the required answer.

Hope it helps :)

Answer:

0....4.... 8....12....16

Answer:

Step-by-step explanation: