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:
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
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:
Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2
Answers
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
Which expression is equivalent to 9m – 36?
A. 9(m – 36)
B. 8m – 12 + m + 48
C. 9(m + 4)
D. -12m + 4 + 21m – 40
Answers
D is the right answer
PLS HELP ME WITH THIS QUESTION!!
Answers
Answer:
a
Step-by-step explanation:
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
someone help me on this one math problem pls !!!
Answers
Answer:
4/9
Step-by-step explanation:
hi
Find the area of the circle. *
5 cm
Answers
Answer:
A≈78.54
Step-by-step explanation:
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:
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
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
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
What are the solutions of x2 + 6x – 16 = 0?
The 2 is a variable PLZZ GET IT RIGHT
Answers
Answer:
[tex]x=2,x=-8[/tex]
Step-by-step explanation:
[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]
Simplify. 24 7/12 - 4 3/8
20 4/4
20 5/24
20 4/96
5/24
Answers
Answer:
20 5/24
Step-by-step explanation:
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
a rectangle has an area of 34 sqaure feet. A larger rectangle has an area of 124 sqaure feet. what is the percent increase of the larger rectangle to the smaller rectangle
Answers
Answer:
The difference in areas:
124 - 34 = 90 square feetPercent increase:
90/34*100% = 264.71%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
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.
1:44
Step-by-step explanation:
The number on the left of the colum is the hour and the number on the right of the colum is the minutes.
help this is due in a few minutes!!
Answers
HELP!!!!
I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?
Answers
Your answer will be 7 hope this helps
Answer:
Hi!
Question:I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?
Answer: 7
Explanation: If you add 7+7 you get 14 if you take one from other you will get 6 (7-1=6)
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
==========================================================
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.
Divide $1800 in the ratio 7:5
Answers
Answer:
7+5 =12
1800/12=150
So 7x150 =1050
And 5x150= 750 so
1050:750
Help meeeeeeee pleaseeeeeeeeeee
Answers
B is the answer pls mark brainliest
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.
Hence, the surface area of the pyramid is calculated as:
Area of the 3 lateral faces of the pyramid + Base area
= 120m² + 27.7 m²
= 147.7 m²
The surface area of the pyramid is 147.7 square meters.
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
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
plz help I will mark brainliest !!!
Answers
Answer:
-5.3 Fahrenheit
Step-by-step explanation:
mark me brainliest
Answer:
b
Step-by-step explanation:
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?!
PLS SOMEONE NEEDS TO HELP MEE
Answers
Ans: 15,360
How many unit cones would you need to make rectangular prism that is 8 cubic units tall, 4 cubic units wide, and 6 cubic units long?
Answers
Answer:
192 unit³
Step-by-step explanation:
The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:
Height, h = 8 unit³
Width, w = 4 unit³
Length = 6 unit³
The volume of the rectangular Prism is given as :
Volume = Length * width * height
Volume = (6 * 4 * 8) unit³
Volume = 192 unit³