Mathematics High School

1. Use "decomposing" to answer the question bellow.

A. What is the area of square E?
B. What is it's side length?

2. If √17 (square root of 17) is a side length of a square, what does that mean about the area? Explain.

3. What is a rational number? Give an example.

4. What is an irrational number? Give an example.

Estimate the value of √70 (square root of 70). Show your work and explain.

Answers

Answer 1

Answer:

1A: 29 units²

1B: √29 units

2, 3, 4. see below

5. between 8 and 8.5

Step-by-step explanation:

1A: Split the given square up into 4 triangles and a square in the centre. You'll get 4 triangles of sides 5 and 2, and a centre square of sides 3.

Area = 4(0.5)(5 x 2) + (3²) = 29 units²

1B: Square root your answer in 1A. √29 units

Alternatively you can use Pythagoras' theorem on one of the triangles. √(5² + 2²) = √29 units

2. The area is exactly 17 units, because the area of a square is the length of its side squared. (√17)² = 17, hence the square's area is 17 units.

3. A number that can be expressed as a fraction (includes whole numbers). E.g. 1/2, 1/7, 4

4. A number that cannot be expressed as a fraction. E.g. π, e, √3

5. Consider the closest square numbers to 70. 70 is closer to 64 than 81 (difference of 6 vs 11). Hence √70 should be closer to 8 than 9. Your answer should be between 8 and 8.5.

Related Questions

Queremos repartir 5 quesos a partes iguales entre ocho personas ¿Qué fracción le corresponde a cada uno?

Answers

Answer:

5/8

Step-by-step explanation:

Se asume que los quesos son iguales.

Para repartirlos Ud., toma cada queso y lo divide en 8 partes iguales y entrega 1/8 de queso a cada quién. Si hace esa operación 5 veces ( ya que son 5 quesos) Ud., debera multiplicar la porcion 1/8 por 5. De tal manera que la respuesta es:

(1/8)* 5 = 5/8

the duration of a movie is 3 hours and 15 minutes if it starts at 6:30pm at what time will it end?

Answers

Answer:

9:45pm

Step-by-step explanation:

3 hours= 9:30pm

3 hours including 15 minutes= 9:45 pm

help pleaseeeeeeeeeee !

Answers

Answer: acute 90-

Step-by-step explanation:

Answer: 21.9

Step-by-step explanation:

tan-1(4 / 10)

I hope im right

Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

65°

Step-by-step explanation:

to find angles, use the inverse trig function (in this case, tan^-1)

tan^-1(5/12)

Answer:

65.4

Step-by-step explanation:

the graph of the function y=x^(2) is reflected across the x-axis, then translated two units left and six units down, write and equation to represent the new functoin

Answers

Answer: -4,-2

Step-by-step explanation: Since it is reflected across the x- axis, translated two units left and six units down it would be -4, -2 because 2-6= -4

Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2

Answers

What the make no sense but I believe it is 50.24 hope that helps

Find the area of the circle. *
5 cm

Answers

Answer:

A≈78.54

Step-by-step explanation:

PLS HELP ME WITH THIS QUESTION!!

Answers

Answer:

Step-by-step explanation:

A hardware store has one basket with 40 pairs of slip-joint pliers. 5 of the 40 pairs are 6-inch slip-joint pliers. A second basket contains 20 rubber mallets. 3 of the 20 rubber mallets are small rubber mallets. What is the probability of picking a pair of 6-inch slip-joint pliers and not drawing a small rubber mallet?

Answers

Answer:

[tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified

Step-by-step explanation:

In order to find the probability of this sequence of events happening we first need to find the probability of each event happening seperately and then multiply them together.

If there are 40 slip-joint pliers and only 5 are 6-inch then the probability of picking a 6-inch plier is 5/40. If there are a total of 20 rubber malets and only 3 are small then the probability of picking a non-small rubber mallet would be 17/20... Now we simply multiply these two probabilities together...

[tex]\frac{5 *17}{40 * 20}[/tex] = [tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified

PLS SOMEONE NEEDS TO HELP MEE

Answers

1 tile =256 in sq and there are 60 tiles
Ans: 15,360

cellus
Find the volume of the following
square pyramid.
110 cm
8 cm
8 cm
V = [?] cm3
Round to the nearest tenth.
Enter

Answers

Answer:

Step-by-step explanation:

Answer:213.3

Step-by-step explanation: 8x8 =64(the base)x10 (the height) x1/3

Math
HELPP PLEASEEE

It is 1.32 pm, Sem will go to the store in 12 minutes. What time will Sam go
to the store?

Answers

Answer: 1:44

Step-by-step explanation: 1:32. take the 32 and add 12. 1:44

Answer:

1:32

Now add 12 minutes to 32.

[tex]x^{2} +6x-16=0\\x^{2} +8x-2x-16=0\\x(x+8)-2(x+8)=0\\x-2=0 ,x+8=0\\x=2,x=-8[/tex]

What are the next 3 terms of this pattern? 1056, 1088, 1120..

Answers

Answer:

1,152, 1,184, 1,216

Step-by-step explanation:

First, subtract. 1,088 - 1,056 = 32

Then, add.

1120 + 32 = 1,152

1,152 + 32 = 1,184

1,184 + 32 = 1,216

Lastly, have a nice day!

Answer:

The next three terms are 1152, 1184, 1216.

Step-by-step explanation:

The pattern of this term equation is to add by 32.

1056+ 32 = 1088

1088 + 32= 1120

1120 + 32 = 1152

1152+ 32 = 1184

1184 + 32 = 1216

Could I receive Brainliest please?!

What is the lenght of CD in triangle ABC?
A. 8V2
B. 2V8
C. 2V3
D. 64V2

Answers

[tex]8\sqrt{2}[/tex]Step-by-step explanation:

Does anyone know how to solve this?

Answers

Answer:

H(22) = 54 + 22 = 76

Step-by-step explanation:

...............

Answer:

chug jug

Step-by-step explanation:

with you

Please help with this cylinder

Answers

Answer:

x = 4

Step-by-step explanation:

Area of a parallelogram = base times height

Given area = 40

Given height = 4

Given = x + 6

Thus,

40 = 4 * (6 + x )

Step 1 distribute the 4

4 * 6 = 24

4 * x = 4x

we now have 40 = 24 + 4x

step 2 subtract 24 from each side

40 - 24 = 16

24 - 24 cancels out

now we have 16 = 4x

step 3 divide each side by 4

4x / 4 = x

16 / 4 = 4

we're left with x = 4

To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.

(x + 6) * 4

* substitute 4 for x *

(4 + 6) * 4

4 + 6 = 10

10 * 4 = 40

40 = 40

Hence x = 4

Answer:

x = 4

Step-by-step explanation:

X + 6 feet

4 feets

Help meeeeeeee pleaseeeeeeeeeee

Answers

B is the answer pls mark brainliest

HELPP MEE!!! Find the total area of the figure below. Round your answer to the nearest tenth.

Answers

Answer:

area = 110.72 m²

Step-by-step explanation:

area of square = 8 x 9 = 72 m²

area of triangle = 1/2 x 3 x 9 = 13.6 m²

area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²

total area = 72 + 13.6 + 25.12 = 110.72 m²

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10
meters. The area of the base of the pyramid is 27.7 square meters.
What is the surface area of the pyramid?
The surface area of the pyramid is
square meters.

Answers

Answer:

147.7 m²

Step-by-step explanation:

Area of the triangular faces = 1/2 × base × height

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.

Hence: 1/2 × 8 × 10 = 40 m²

A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²

= 120m²

The area of the base of the pyramid is 27.7 square meters.

Answer:

20 5/24

Step-by-step explanation:

On a recent Summative Assessment, the mean score for the Algebra 1 class was 72 and the standard deviation was 7. See the normal distribution curve below that represents the data and answer the following questions.

What score is the 16th percentile?

Answers

Answer: 65

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

According to the empirical rule, roughly 68% of the normal distribution is within 1 standard deviation of the mean.

In this case, that tells us 68% of the population is between x = 65 and x = 79. The center is at mu = 72, which is the highest point. On either side of this center is where the curve goes downward as you move away from the center. Note the symmetry as well. Each tickmark represents 1 standard deviation unit.

Because 68% of the class got scores between x = 65 and x = 79, this means 100% - 68% = 32% of the class got a score x such that x < 65, or x > 79

Cut this in half and get (32%)/2 = 16%

16% of the population is in either tail.

16% of the population is the set of x values such that x < 65; we can say that 16% of the population is more than 1 standard deviation from the mean, and also smaller than the mean.

The 16th percentile is the marker where 16% of the population is below that value.

Therefore, the 16th percentile is the value 65

16% of the class scored less than 65 on the test.

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