Factorise using suitable identity
1.a²+8a+16

Answer:

40 percent. Hope this helps : )

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

to change a fraction to a percentage, multiply the fraction by 100)

[tex]\frac{2}{5}[/tex] × 100% ( cancel 5 and 100 by 5 )

= 2 × 20%

= 40%

Answer:

x=5

Step-by-step explanation:

An isosceles trapezoid has two pairs of congruent base angles. This means angle F has to equal angle E. So we have 2x^2+21=3x^2-4. Move the variables to one side and we get 25=x^2. Square root both sides and we get two values x=5 and x=-5. Since angles cannot necessarily be negative, we only want the positive value. In this case x=5.  

Answer:

5.1 pieces

Step-by-step explanation:

You have to divide the measure of foot pipe by the measure of how many pieces to make. So,

1) 5 1/3 / 2/3

2) Simplify the mixed number, 5 1/3,  into an improper fraction

3) 17/5 / 2/3

4) 5.1

Answer:

[tex]Volume = \: length \times width \times hight[/tex]

[tex]10 \times 1000 = \: 40cm \times 25cm \times hight[/tex]

[tex]Hight = \frac{10000}{40cm \times 25cm} [/tex]

[tex]Hight = 10cm[/tex]

The height of the container​ is 10 cm.

Given that, 10 liters of oil is poured into a container whose cross section is a rectangle with dimensions 40 cm ×25cm.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, 1 liter = 1000 cm³

So, 10 liters = 10000 cm³

Area of the base = 40 × 25 = 1000 cm²

Volume = 1000 × Height

⇒ 1000 × Height=10000

⇒ Height=10 cm

Therefore, the height of the container​ is 10 cm.

To learn more about the volume visit:

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Answer:

r=1.27m

Step-by-step explanation:

volume of sphere = 8.6 cubic metre

[tex]4 \div 3\pi \: r ^{3} = 8.6[/tex]

[tex]4 \div 3 \times 3.14 \times r ^{3} = 8.6[/tex]

[tex] {r}^{3} = 8.6 \times 3 \div 12.56[/tex]

[tex] {r}^{3} = 25.8 \div 12.56[/tex]

[tex]r \: = \sqrt[3]{2.054} [/tex]

[tex]r \: = 1.27m[/tex]

Answer:

Step-by-step explanation:

i hope it Helps, Thank you so much, good luck for you

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

V = lwh

where

In equation -

[tex]\begin{gathered}\\\implies\quad \sf V = lwh\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf lwh = V \\\end{gathered} [/tex]

Since w and h are multiplying l , when they will be transposed to other side of equation, they will divide V and thus be in denominator.

[tex]\begin{gathered}\\\implies\quad \sf l = \frac{V}{wh} \\\end{gathered} [/tex]

Thus , V will be in numerator, which is our required answer.

Answer:

Each person will get 6 and 3/4 cups of popcorn

Step-by-step explanation:

20.25 divided by 3 equals 6.75 which is 6 3/4

Answer:

ø=14.48⁰ and. y=75.52⁰

Explanation:

angle thetha = 14.48⁰

sinø=opposite/hypotenuse

sinø=12/48

ø=sin¹(12/48)

ø=14.48

y=180⁰-(14.48⁰+90⁰)

y=75.52⁰

sum of angles in a triangle = 180⁰

Answer: 134

Step-by-step explanation:

Answer:

y = 37

Step-by-step explanation:

the 3 angles lie on a straight line and sum to 180°

sum the 3 angles and equate to 180

y + 29 + 40 + 2y = 180 , that is

3y + 69 = 180 ( subtract 69 from both sides )

3y = 111 ( divide both sides by 3 )

y = 37

Answer:

11.25

Step-by-step explanation:

I hope you have a good day

Changing from Two-sigma limits to three-sigma limits helps to reduce the probability that defects will be generated by the process. Hence the correct answer is C.

This is used to refer to the inclusion of about ninety-five percent of data plotted on the normal distribution curve.

Three sigma-limit on the other hand is a statistical calculation where data fall within three standard deviations from a mean.

If in a manufacturing firm, the quality control unit issues out a polity to reject products that are within two standard deviations to their accepted mean, then more errors will be captured thus resulting in a lot of loss or defective products.

Learn more about Two-Sigma Limits at:

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Answer:

b.8

Step-by-step explanation:

6x+2+40+90=180

6x+132=180

6x=180-132

6x=48

x=48/6

x=8

Answer:

Slope= 1/6    Y-intercept= 1/3

Step-by-step explanation:

1-0=1

4-(-2)=6

Slope = 1/6

y-0= 1/6 (x-(-2))

y-0= 1/6x + 1/3

Y intercept is 1/3

given coordinates: (-2,0) (4,1)

[tex]\sf slope \ formula:\dfrac{y2-y1}{x2-x1}[/tex]

→   [tex]\dfrac{1-0}{4--2}[/tex]

→      [tex]\dfrac{1}{6}[/tex]

equation:

→  [tex]\sf y - 0 = \dfrac{1}{6} ( x- -2)[/tex]

→  [tex]\sf y = \dfrac{1}{6} x + \dfrac{1}{3}[/tex]

To find y-intercept, put x as 0.

→  [tex]\sf y = \dfrac{1}{6} x +\dfrac{1}{3}[/tex]

→  [tex]\sf y = \dfrac{1}{6} (0) +\dfrac{1}{3}[/tex]

→  [tex]\sf y = \dfrac{1}{3}[/tex]

Answer:

(a) 0

zero property

b) 7

communative property

c) 4

Identity Property

d) 8

associative property

Answer:

(5, - 3 )

Step-by-step explanation:

the opposite to translation rule (- 5, 3 ) is

(5, - 3 ) ← the negative of each of the coordinate points

Answer: a

Step-by-step explanation:

Answer:

A. 3(7-3) < 6 + 21

Step-by-step explanation:

A. 3(7-3) < 6 + 21

21-9 < 27

12 < 27

True

B. ??

C. 3(7-3) = 6 + 21

21 - 9 = 27

12 = 27

False

D. 3(7-3) < 6 + 21

21-9 > 27

12 > 27

False

Therefore, the correct answer is A

Hope this helps!

Answer:

6 7/8

Step-by-step explanation:

Answer:

Hi I'm always here to help!!

______________________

(42 − (18 ÷ 9)) × (4 ÷ 2)

(16 – 2) × 2

14 × 2

28

______________________

Have a great day!!!

your answer for this question is y=c hope this helps

Answer:

5/18

Step-by-step explanation:

Irresponsible and 0 siblings (5) over total (18)

5/18 doesn't simplify

Answer:

17.16

Step-by-step explanation:

So if the area of the rectangle is 8.8*3.9=34.32, L*W=H, then the triangle which has the same length and width, would have L*W*1/2. If you fill in the variables, then you would get 8.8*3.9*1/2=17.16. You can do this on any calculator, and please put my answer as the brainliest.✌

Answer:

155.7 & 153

Step-by-step explanation:

the only 2 heights under 161

Answer:

161.7 and 163

Step-by-step explanation:

I do not have one sorry,

Josh's father is 54.

Let Josh's father's age be x.

x/3 - 12 = 6

x/3 = 18

x = 54

Question

What is the quotient of 2.538 x 109 and 2.7 x 102 expressed in scientific notation?

Answer:

Step by step explanation:

2.538 x 109

2.538

109

————×

2142

0000

2538

————+

276.642

2.7 x 102

2.7

102

————×

275,4

276.642 + 275,4 =276.917,4

sorry if wrong

Answer:

D.  18,000(0.97)^x

First, let's look at everything we know from reading the question.

We know that y = the population

We know that x = the number of years

We know the population starts at 18,000

We know the population is decreasing at a rate of 3% each year

Since the population is decreasing by 3%, the population will be 0.97 times the previous population each year.

This is because 100 - 3 = 97

That means we can make part of the equation.

y = 18,000(0.97)

Now, do we do 0.97^x or 0.97x?

Well, if we did 0.97x, it would look something like this

If x = 2

0.97(2) = 1.94

That means that, by 2 years, the population would be increasing when it should be decreasing

Now let's try 0.97^x

if x = 2

0.97^2 = 0.9409

That makes sense because the population would be decreasing by a slightly larger amount each time.

So, our final equation is

D.  18,000(0.97)^x

Lets check

[tex]\\ \rm\longmapsto P(1-r)^t[/tex]

[tex]\\ \rm\longmapsto P(1-0.03)^t[/tex]

[tex]\\ \rm\longmapsto 18000(0.97)^t[/tex]