Simplify the product of
(3+/7)(3-/7) that you found in the previous step.
found in the previous step
(3+/7)(3-/7)=

Answer:

b = 6 mm

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 8² = 10²

b² + 64 = 100 ( subtract 64 from both sides )

b² = 36 ( take the square root of both sides )

b = [tex]\sqrt{36}[/tex] = 6

b = 6 mm

Step-by-step explanation:

To find the missing side of a right triangle, we can use the Pythagorean theorem. This is...

[tex]a^2+b^2=c^2[/tex]

It is important to know that c will always be the hypotenuse, or in this case 10. We can plug everything we know from the picture into the theorem.

[tex]8^2+b^2=10^2[/tex]

[tex]64+b^2=100[/tex]

Subtract 64 from both sides.

[tex]b^2=36[/tex]

A lot of people make the mistake of thinking the final answer is 36, but since b is squared we need to find the square root of 36.

[tex]\sqrt{36}=6[/tex]

b = 6

Answer:

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Step-by-step explanation:

Step(i):-

Given mean of the Population = 115

Given standard deviation of the Population = 23

Let 'x' be the random variable of normal distribution

Let x = 162

[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]

z = 2.043

Step(ii):-

The probability that a value in the data set is greater than or equal to 162

P(X>x) = P(Z>z) = P(Z> 2.043)

P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)

                                      =  1- ( 0.5 +A(2.043)

                                      =   1-0.5 -A(2.043)

                                      =    0.5 - 0.4793

                                      =  0.0207

Final answer:-

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Answer:

x = 70°

Step-by-step explanation:

Sum of external angles of polygon = 360

x + 150 + 140 = 360

x + 290 = 360

x = 360 - 290

x = 70°

Answer:

red : 50%

blue : 18%

Step-by-step explanation:

Red : 14:28x100 = 50%

blue : 5:28x100= 17,85%= 18%

Answer:

the total number of students is 1240

Step-by-step explanation:

the difference between 11 and 9 is 2

124÷2=62

62×11=682

62×9=558

682+558=1240

pls give me brainliest!

Answer:

B

Step-by-step explanation:

Given W varies inversely as t² then the equation relating them is

W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation

To find k use the condition W = 12 when t = 2, thus

12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

k = 48

W = [tex]\frac{48}{t^2}[/tex] ← equation of variation

When W = 27, then

27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )

27t² = 48 → B

B)  27 t² = 48 will be the algebraic equation for t if W = 27.

In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.

Given W varies inversely proportional to t² then the algebraic equation relating them is

W =  k / t² is the constant of variation

for k we can use the condition W = 12 when t = 2,Hence,

12 =  k / 2²

k = 48

When W = 27, then

27 = 48 / t²  ( multiply by t² )

Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.

Learn more about proportionality here:

https://brainly.com/question/14508634

#SPJ5

Answer:

Yes

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

i can only assume you mean degrees, you worded it strangely, but they add to 60 degrees and a right triangle is 90

Answer:

Give the positive and negative answer

Step-by-step explanation:

Answer:

The first step in solving quadratic equations is to isolate the squared term by adding or subtracting any constant term to both sides.

Step-by-step explanation:

Answer:

Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step-by-step explanation:

The postulate used to prove the congruence of the triangles is ASA.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two right triangles.

∠90° = ∠90°

side = side (given)

Angle = Angle (given)

By ASA (angle side angle)

The triangles are congruent.

Thus,

The postulate is ASA.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

1.5 inches

Step-by-step explanation:

56.52/ 8 = 7.065

7.065 / pi =2.248859346

square root of 2.248859346 = 1.5

r = 1.5

Answer:

1.5 inches

Step-by-step explanation:

Answer:

2,3,4,6, and 8

Step-by-step explanation:

2 is divisible by 24 because it is a multiple of 24

3 is divisible by 24 because it is a multiple of 24

4 is divisible by 24 because it is a multiple of 24

6 is divisible by 24 because it is a multiple of 24

8 is divisible by 24 because it is a multiple of 24

i am not sure about the explain.

i suck at explaining things

Test each of the following to see if it is divisible by 2,3,4,5,6,8,9,10, or 25 and say why.

Answers:

Divisible by 2: yes, because it is an even number. The even numbers are those which end in 0, 2, 4, 6, or 8. Result: 24/2 = 12

Divisible by 3: yes, because the sum of its digits is a multiple of 3: 2 + 4 = 6 is a multiple of 3. Result: 24/3 = 8

Divisible by 4: yes, result: 24/4 = 6

Divisible by 5: no, because a number is divisible by 5 if it ends in 0 or 5.

Divisible by 6: yes, because it is divisible by 2 and by 3, then it is divisible by 6. Result: 24/6 = 4.

Divisible by 8: yes, result: 24/8 = 3

Divisible by 9: no, because the sum of its digits is not a multiple of 9.

Divisible by 10: no, because a number is divisible by 10 if it ends in 0.

Divisible by 25: no, because 25 is a number greater than 24.

Answer:

785.4

Step-by-step explanation:

[tex]\pi[/tex] x 5^2 x 10 = 785.4

If I helped, please mark as brainliest :>

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The reason why it is 90 because it looks like it is going in order so it would be 55 , 90 , 92 , 114

Answer:

80% or 8/10.

Step-by-step explanation:

Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white,  2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.

Answer:

2/5

Step-by-step explanation:

4/5*1/2=4/10=2/5

Answer:

0.4 or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

First convert 4/5 into a decimal of 0.8

Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]

Answer:

$6.96

Step-by-step explanation:

(4*8.99) + (3*7)

35.96 + 21 = 56.96

50- 56.96 =  -6.96   So she owes 6.96

Answer:

All

Step-by-step explanation:

Answer:

All

Step-by-step explanation:

Hope this helps

Answer:

A

Step-by-step explanation:

Answer:

14 meters

Step-by-step explanation:

A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.

The second one: 4 times 10 to the power of 12

Answer:

saa.

Step-by-step explanation:

if you look at where the triangles connect, you will see they share an angle. that makes those two congruent. then yousee the SAA thrm. you go side (the line through one side) then the angle (the one that the two triangles share) then angle (the two marked congruent angles)

Answer:

Step-by-step explanation:

ii) Perimeter = 8 + 7 + 17 + 16 + (17-8) + (16-7)

                   =8+ 7 + 17 +16 + 9 + 9

                  = 66 m

Area = area of upper rectangle + area of lower rectangle

        = 8*7 + 16*9

       = 56 + 144

   = 200 m²

Answer:

48

Step-by-step explanation:

6*8 = 48

I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.

Answer:

Your answer is 48 sq. ft.

Step-by-step explanation:

Why? Because A= L(W) Therefore, A= 8(6)=48

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

Answer:

Prisms

Pyramids

Step-by-step explanation:

Lateral faces of a pyramid are triangles (3 sided polygon)

Lateral faces of prisms are rectangles (4 sides polygon)

Answer:

Cylinders, Prisms, Pyramids

Step-by-step explanation:

Hope this helps

Brainliest if correct pls

Answer:

69.8

Step-by-step explanation:

Answer:

Triangle IV

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

when u substitude the value of n as 2

u get 2*2-1+1=6

hope this helps

there is a mistake in question that f(1)= -6

but i have answered correctly

pls mark me brainliest

Answer:

f(2)= - 5

Step-by-step explanation:

hello :

f(1)=-3

f(n)=2f(n-1)+1

n=2 : f(2) = 2f(2-1)+1 = 2f(1)+1   but f(1) = -3

so : f(2)=2(-3)+1 =-6+1=-5

Answer:

[tex](5,-3)[/tex]

Step-by-step explanation:

Solve by Graphing.

Graph the lines.

When we graphed them, the intercepted at point (5,-3).

The solution the the system of equations is (5,-3).

Answer:

5,-3

Step-by-step explanation:

Answer: A. 9x9 tiles are the biggest ones that she can use. B. 48 C. Examples are: 8x8, 6x6, 4x4, 3x3, 2x2, and 1x1 ft

Step-by-step explanation: If the area is 432 ft. then you would have to find the tiles that can be put in there but can also be equally divided by the number.

The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A restaurant owner is replacing the restaurant’s bathroom floor with square tiles.

The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut.

The floor is a rectangle that measures 24 feet by 18 feet.

Then the area of the bathroom will be

Area = 24 x 18

Area = 432 square feet

Let n be the number of tiles and a be the side length of the square tile.

na² = 432

If a = 1, Then the number of tiles will be

n = 432

If a = 2, Then the number of tiles will be

n x 2² = 432

n x 4 = 432

n = 108

The number of tiles will be 108. And the largest possible tile size she could use will be 2 feet.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2