Answer:
Perimeter (upper bound) =42.16 m
Area (lower bound)= 81.11 m2
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Since both measures were rounded to the nearest tenth, the possible numbers are:
Length (L) =15.8m ; (between 15.75 and 15.84)
Lower =15.75 ; upper = 15.84
Width (w) =5.2m (between 5.15 and 5.24)
Lower = 5.15 ; upper = 5.24
Perimeter = 2L +2w (using the upper bound values)Upper bound perimeter = 2 (15.84)+2(5.24) = 42.16 m
Area = L x w (using the lower bound values)Lower bound for the area of the rectangle = 15.75 x 5.15 = 81.11 m2
Feel free to ask for more if needed or if you did not understand something.
Help pleaseeeeeeeeeeeeeeeeeeeeeee
Answer:
The answer is 3 mark as brainliest
Step-by-step explanation:
3 *3-4*4+2*5
9-16+10
9-6=
3
Answer:
Hey there!
3a-4b+2c
3(3)-4(4)+2(5)
9-16+10
3
Your answer would be 3.
Hope this helps :)
plzzzzz answer this question about density mass and volume!!!!!!!!!
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg
explain the words and the connections of population ,area, urban,and density
Answer:
Step-by-step explanation:
In this sense "area" refers to a geographical area in which people may or may not live; any "population" refers to the group of people living in a specific area. We might discuss the "population" of the "Los Angeles area," which refers to people living within the geographic boundaries of the City of Los Angeles.
"Urban" characterizes a given area where the land is thickly settled with human residents (as opposed to open, commercial or rural land). Most of the area within the boundaries of "Los Angeles" are "urban."
"Density" refers to "population density," defined as the number of people per square mile (or other measure of area); as an example we might refer to the population density of the City of Los Angeles, and that reasure might be in the area of "246,000 residents per square mile."
Answer:
Search the words up on google and it will explain better then me
Step-by-step explanation:
Find the Surface Area
Answer:
120 km squared.
Step-by-step explanation:
The shape shown has 5 sides: three rectangles and 2 triangles.
If you examine each triangle closely, they are 3-4-5 triangles. The area of one triangle is 3 * 4 * 1/2 = 12 * 1/2 = 12 / 2 = 6. Since there are two triangles, the total area of the triangles is 6 * 2 = 12 km squared.
The three rectangles have the same length, but their widths differ. They all have a side length of 9 km, but the largest rectangle has a width of 5 km, the medium has a width of 4 km, and the smallest has a width of 3 km.
So, the rectangles' areas added up will be (9 * 5) + (9 * 4) + (9 * 3) = 45 + 36 + 27 = 108 km squared.
And so, the total surface area is 12 km squared + 108 km squared, or 120 km squared.
Hope this helps!
In how many ways can a committee of size 5 be formed from 11 people? Assume that, when people are chosen for a committee, the order of the choices does
not matter.
Answer:
462 ways
Step-by-step explanation:
In △EKL, m∠K = 90º, m∠E = 25º, EK = 3 cm, KH - altitude. Find EH.
Answer:
EH = 3.31
Step-by-step explanation:
We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.
Where,
EK = Base = 3
KH = perpendicular altitude
EH = Hypotenuse
m<K = 90
m<E = 25
We know that
cosθ = Base/ Hypotenuse
cos 25 = 3/ EH
EH = 3/cos25
EH = 3.31
Perpendicular alitutude can also be calculated by using the formula for tanθ.
HELP NEEDED PLS HELP! THANK YOU Use the fundamental theorem of algebra to state all the possible roots of the function f(x)=2x^3+3x^2-4x-12 Can someone please show me how to do it
Answer:
x=2 (−∞,∞)
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x
Hope this helps (sorry if it's confusing)
Answer:
x = 1.71282
Step-by-step explanation:
2x^3+3x^2-4x-12
2 x³ + 3 x² - 4x - 12 = 0
x = 1.71282
see attachment.
Find the common difference for the sequence shown.
56, 49, 42, 35, ...
0-12
0-7
07
To find the common difference, subtract all the numbers in order.
56 - 49 = 7
49 - 42 = 7
42 - 35 = 7
Therefore, common difference is 7.
Best of Luck!
Answer:
The answer is -7
(got this answer right on the lesson)
Step-by-step explanation:
In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?
O a = 3
O a = 8
O a = 18
O a = 33
The table to represent a linear function with a rate of change of +5
So, m = 13 + 5 = 18
a = 18
What is linear function?The slope-intercept pattern of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept.
The graph in the table shows a linear function.
The linear function's general equation is written as y = ax+b, where a is the slope and b is a constant.
Finding the linear function's equation by using the first and third points from the table
at x = 3 ⇒ y = 13 and at x = 5 ⇒ y = 23
13 = 3a+b → (1)
23 = 5a+b → (2)
solve (1) and (2) to find a and b
So, a = 5 and b = -2
∴ y = 5x - 2
After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18
m= 18
Thus, option C is correct.
For more information about linear function, click here:
https://brainly.com/question/20286983
#SPJ7
A recent survey found that 65% of high school students were currently enrolled in a math class,43% were currently enrolled in a science class,and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?
Answer: 0.20
Step-by-step explanation:
As per given :
P(student enrolled in a math class ) = 65% = 0.65
P( student enrolled in a science class) = 43%= 0.43
P( student enrolled in both ) = 13% = 0.13
Formula of conditional probability :
[tex]P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}[/tex]
Using the above formula,
The probability that the student is enrolled in a science class given that he is enrolled in maths class :
[tex]P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20[/tex]
Hence, the probability that the student is also enrolled in a science class = 0.20 .
Help Please. It's maths, for HegartyMaths.
The functions f(x) and g(x) are shown on the graph.
Rx) = x²
What is g(x)?
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. H represents the height of the tree (in centimeters), t years since Renata moved in. H =210 + 33t How fast does the tree grow?
Answer:
The tree grows 33cm per year.
Step-by-step explanation:
During the recent recession, Bob's home value dropped to only $175,000. Since then the economy has turned around and the market is improving at a rate of 4.5% annually. At this rate, how much will Bob's home be worth 12 years after the market started improving? And what equation did you use?
Answer:
Bob's home will worth $296,779.25 after 12 years.
Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]
Step-by-step explanation:
Current value of Bob's house =[tex]FV = $175,000( 1 + 4.5/100)^12\\FV = $175,000( (100+ 4.5)/100)^12\\FV = $175,000( (104.5)/100)^12\\FV = $296,779.25[/tex]
market is improving at 4.5% annually.
This, means that the value of house gets appreciated by 4.5% each year from its previous year value.
This is a problem of compound interest formula
[tex]FV = PV(1+r/100)^n[/tex]
where PV is the present value of any thing
FV is the future value
r is the annual rate of interest
t is the time in number of year for which rate is applicable.
_____________________________________
Given
PV = $175,000.
r = 4.5%
t = 12 years
Value after 12 year will be given by
[tex]FV = $175,000( 1 + 4.5/100)^(12)\\FV = $175,000( (100+ 4.5)/100)^(12)\\FV = $175,000( (104.5)/100)^(12)\\FV = $296,779.25[/tex]
Thus, Bob's home will worth $296,779.25 after 12 years.
Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]
A hobbyist is making a toy sailboat. For the triangular sail, she wants the height h (in inches)
to be twice the length of the base b (in inches). Can the area of the sail be 10 inº?

Answer:
xx
Step-by-step explanation:
D
AABC = ADBC, AB = 10, mZA = 44°
mZD = [? ]
Answer:
∠ D = 44°
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent, thus
∠ D = ∠ A = 44°
Need help finding the missing length to the attached triangle.
Answer:
65 units
Step-by-step explanation:
Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.
Now by geometric mean property:
[tex]h = \sqrt{144 \times 25} \\ h = 12 \times 5 \\ h = 60 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {25}^{2} \\ {x}^{2} = {60}^{2} + {25}^{2} \\ {x}^{2} = 3600 + 625 \\ {x}^{2} = 4225 \\ x = \sqrt{4225} \\ \huge \red{ \boxed{x = 65\: units }}[/tex]
is this right? someone please help :)
Answer:
it should be yes. if there are no values for A and C then yes the answer is correct.
Answer:
2a + 2c = b
Step-by-step explanation:
a = 1/2 b -c
Add c to each side
a+c = 1/2 b- c+c
a+c = 1/2 b
Multiply each side by 2
2( a+c) = 2 * 1/2 b
2a + 2c = b
solve for x 3x+3+=12 1. 6 2. 5 3. 4 4. 3
Answer:
4.(3)
Step-by-step explanation:
3x+3 = 12
Subtract 3 to both sides.
3x = 9
Divide the left side by 3, then divide the right side by 3
x = 3
Answer:
Hi! your answer should be D. 3
Step-by-step explanation:
1. 3x+3=12
-3 -3
2. 3x=9
÷3 ÷3
3. x= 3
[So, your answer should be D. x=3]
Hope this helps!
Jacob is painting the walls of his new tiny house. If 3⁄4 of a can of paint is enough to paint 1 / 8of the walls, how much paint does Jacob need to paint all of the walls?
Answer:
6 cans
Step-by-step explanation:
I used Improper Fractions to solve this question.
3/4 is enough to paint 1/8
Therefore we can multiply 3 by 8 to calculate how much paint is required for the whole wall.
3 * 8 = 24
24/4 = 6
HELP. Analyze the diagram below and complete the instructions that follow. Find the exact value of tan 0.
Answer:
Using SohCahToa we know it will be opposite over adjacent, opposite being the side across from theta and adjacent being the side next to theta, Using Toa we know it will be opposite over adjacent so the answer will be 6/2sqrt5
If they wants you to simplify more than you cant have a sqrt on the bottom so to fix this you will multiply the top and bottom by sqrt5 leaving you with 6sqrt5/ 2*5 or 6sqrt5/15
hope this helped
Answer:
C. 3^5/5
Step-by-step explanation:
What number continues this sequence? 33 39 51 57 69 84 ?
Answer:
96
Step-by-step explanation:
each number is the previous number added together
for example
33 (3+3=6)
33+6= 39
39 (3+9=12)
39+12=51
84 (8+4=12)
84+12= 96
A rectangular garden that measures 6 feet by 8 feet is roped off to form a
right triangle. What is the length of the rope?
Rope
6 ft
Answer:
10feet
Step-by-step explanation:
We solve this question, using Pythagoras Theorem to solve for the other side.
Pythagoras Theorem states that
c² = a² + b²
c = √(a² + b²)
In the question, a = 6 feet
b = 8 feet
c = length of the rope
c = √6² + 8²
c = √36 + 64
c = √100
c = 10 feet
The length of the rope is 10 feet
On two investments totaling $13,500, Peter lost 3% on one and earned 5 % on the other. If his net annual receipts were $319, how much was each investment?
Please solve okay ty ty
Answer:
The answer is A.
Step-by-step explanation:
Ok, first let see with each point makes the inequality true. Remember that a point is made up of x and y in the form of (x , y).
Let's see if A suits this inequality. Replace the x in the inequality with 5 and the y with 1. The inequality should look like this: 5(1) - 8(5) [tex]\leq[/tex] 10. 5 times 1 is 5 and 8 times 5 is 40. 5 - 40 is -35. -35 is less than 10 so this true. So A is a solution.
NOTE THAT THE SIGN "[tex]\leq[/tex]" MEANS GREATER THAN OR LESS THAN SO YOU ONLY NEED TO MEET ONE CONDITION.
Let's see if B suits this inequality. Replace the x in the inequality with -3 and the y with 2. The inequality should look like this: 5(2) - 8(-3) [tex]\leq[/tex] 10. 5 times 2 is equal to 10 and -8 times -3 is equal to 24. Now the quation is this: 10 + 24 [tex]\leq[/tex] 10. 10 plus 24 is 34 and 34 IS NOT EQUAL OR LESS THAN 10. So B is not a solution.
Let's see if C suits this inequality. Replace the x in the inequality with 0 and the y with 4. The inequality should look like this: 5(4) - 8(0) [tex]\leq[/tex] 10. 5 times 4 is 20 and -8 times 0 is 0. 20 + 0 is 20 and 20 IS NOT LESS THAN OR EQUAL TO 10. So C is not a solution.
-1, -5
Let's see if D suits this inequality. Replace the x in the inequality with -1 and the y with -5. The inequality should look like this: 5(-5) - 8(-1) [tex]\leq[/tex] 10. 5 times -5 is -25 and -8 times -1 is 8. -25 plus 8 is -17 and -17 IS NOT LESS THAN OR EQUAL TO 10. So D is not a solution.
HOPE THAT HELPED!
Answer:
the answer is A
hope it helps
Please may someone answer it,
WORTH 81 POINTS!!!
Answer:
[tex]\boxed{V = 1436.8 cm^3}[/tex]
Step-by-step explanation:
Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 7 cm
Volume of Sphere = [tex]\frac{4}{3} (3.14)(7)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(343)[/tex]
V = 4310/3
V = 1436.8 cm³
Answer:
1436.8 cm^3Solution,
Radius= 7 cm
Volume of sphere:
[tex] \frac{4}{3} \pi \: {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {7}^{3} \\ = \frac{4}{3} \times 3.14 \times 343 \\ = 1436.8 \: {cm}^{3} [/tex]
Hope this helps...
Good luck on your assignment...
give your answer as a mixed number
4 3/7 - 2 5/7
get brainliest urgent plz help
Answer:
[tex]1\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]4\frac{3}{7} -2\frac{5}{7}[/tex]
Step 1. Simplify left side 4*7+3 , Right Side 2*7+5
[tex]=\frac{31}{7} -\frac{19}{7} = \frac{12}{7}[/tex]
Step 2. Re-write 12/7 as mixed number
[tex]\frac{12}{7} = 1\frac{5}{7}[/tex]
x^2 + 20x + 28 = 9 find the graphing/vertex form
Answer: [tex](x+10)^2+119=0[/tex]
Step-by-step explanation:
For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.
The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]
Subtract 9 from both sides
[tex]=x^2+20x+19=0[/tex]
compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides
b= 20
[tex]x^2+20+100+19=-100[/tex] [(b/2)²=20/2=10]
[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]
[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]
So, the vertex form : [tex](x+10)^2+119=0[/tex]
plz help me do this i will help u if i know
Answer:
77
Step-by-step explanation:
2+3+5+7+11+13+17+19=77
Classify the following triangle. Check all that apply.
60
604
60°
A. Scalene
B. Right
O C. Acute
O D. Isosceles
E. Obtuse
F. Equilateral
Answer:
C. Acute
F. Equilateral
Step-by-step explanation:
Since all angles in the triangle are 60° (and less than 90°), it makes it an acute triangle.
Since all sides and angles are congruent to each other, respectively, we know that the triangle is equilateral.
Answer:
the actual answer is acute,equilateral,isosceles