Answer:
On a number line, graph a number that is twice as far from 5 as it is from 8.
Step-by-step explanation:
11 is twice as far from 5 as it is from 8
Use Pythagoras to find the height and hence, the area of the triangle
below. Give height to 1 decimal place and area to the nearest whole. Write
answer in format: h= A= *
20 mm
Val
Answer:
h=17.3 A=173
Step-by-step explanation:
Calculator
Answer:
height = 17.3 mm
area = 173 mm²
Step-by-step explanation:
all three sides are of the same length (20 mm).
so, the height actually splits the baseline in half
(2 × 10 mm) while hitting it at a 90 degree angle.
so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.
c² = a² + b²
20² = 10² + height²
400 = 100 + height²
300 = height²
height = 17.3 mm
the area of the main triangle is baseline (20) times height divided by 2.
so,
At = 20×17.3/2 = 10×17.3 = 173 mm²
Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years: Number of years 1 2 3 House 1 (value in dollars) 186,160 193,606.40 201,350.66 House 2 (value in dollars) 190,000 201,000 212,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)
Answer:
A) both functions are linear
B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000
C) House 2 will value $106894.4 more than house 1.
Step-by-step explanation:
A) Value Increase from year 1 to year 2:
House 1: 193,606.40 - 186,160 = 7446.4
House 2: 201,000 - 190,000 = 11000
Value Increase from year 2 to year 3:
House 1: 201,350.66 - 193,606.40 = 7744.26
House 2: 212,000 - 201,000 = 11000
This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.
B) The slope is the same as the value increment from one year to the next one.
slope (m) of House 1: 7446.4
slope (m) of House 2: 11000
General formula of a line:
f(x) = mx+b
Replacing with a known point:
House 1
186,160 = 7446.4(1) + b
b = 186,160 - 7446.4 = 178713.6
equation: f(x) = 7446.4x + 178713.6
House 2
190,000 = 11000(1) + b
b = 190,000 - 11000 = 179000
equation: f(x) = 11000x + 179000
C) Replacing x = 30 into each equaiton:
Value of House 1 after 30 years
f(x) = 7446.4(30) + 178713.6 = 402105.6
Value of House 2 after 30 years
f(30) = 11000(30) + 179000 = 509000
Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.
please help, I'm so confused how to-do this
Answer:
Step-by-step explanation:
use the quadratic formula : [tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], where ax^2+bx+c=0
[tex]y = \frac{ -(-20) \pm \sqrt{(-20)^2 - 4(1)(50)}}{2(1)}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{400 - 200}}{2}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{200}}{2}[/tex]
y = 17.07106~ or 2.928932~
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
D and C
Step-by-step explanation:
1) You can cross check using desmos.
2) cos(120) is - 0.5
PLEASE HURRY
1 Your dad asks you to go to the grocery store and buy at least 3 pounds of grapes. Write an inequality for this scenario.
Answer:
X ≥ 3
Step-by-step explanation:
Let the number of grapes you'll buy be X, you need to buy at leaF 3 pounds so:
X ≥ 3
Answered by Gauthmath
In the figure, ABC and DEF are similar. What's the scale factor from ABC to DEF?
(pls show how you got the answer)
Answer:
3
Step-by-step explanation:
The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:
AB * x = DE
where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:
5x = 15
x = 3
Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.
The average age of a preschool class is 4.5 years old. If there is one 3-year-old, five 5-year-olds, and two other children both of the same age, what is the age, in years, of the other two children?
Answer:
3.1
Step-by-step explanation:
5 x5 =25
25+3=28
the other children are 4 years old
What is Three-Quarters of Three-Quarters?
HELLO HELP ASAP ATTACHING PIC BELOW ITS KHAN
Answer:
a
Step-by-step explanation:
the graphic is step by step
Answer:
A
Step-by-step explanation:
Since the first number to the problem is -4, you start at -4 on the number line. The next number is +7.5 so you would move 7.5 spaces to the right on your number line. Finally, where you land would be your answer.
Hope this helps! Please mark Brainliest :)
Given the table below, determine which type of equation best models the data and use a calculator to find an equation of best fit.
Answer:
Hello,
Step-by-step explanation:
Best fit: quadratic y=5.3x²-9.3+6.1
with an total error of 0.4
Can you guys helppppppppppppp
Step-by-step explanation:
to find this angle you can use the sin ratio seeing that the opposite has been given which is 35 and the hypotenuse which is 48.so the solution will be
sin?=opposite/hypotenuse
sin?=35/48
sin?=0.729
?=sin inverse of 0.729
?=46.8 rounded off to 47°
I hope this helps
Hi
in application of sinus formula : ( must learn your trigonimetric formulas by heart !)
value of ? is sin^(-1) = (35/48) = 46,8. so 47 when rounded to the nearest degree
How would you write 845 as a multiplication expressions
A.
8x5
B.
8x8x8x8x8
O c. 5x5x5x5x5x5x5x5
Answer:
13x13x5
Step-by-step explanation:
We can write 845 as
845 = 13 x 13 x 5
because
845 = (13x13) x5 = 169 x5 = 845
so the expression is
13 x 13 x 5
martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?
please someone help
Answer:
Yes, it will overflow after 16 minutes..
Step-by-step explanation:
The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.
Describe fully the single transformation that maps shape A onto shape B.
B is an upside down image of A and is 2 units below A.
The image of A is mirrored across the y axis at y = 2.
Answer: A was mirrored across y= 2 to form B.
if three less than one half a number is equal to one-third of the same number, find the number
Answer: The number would be 18
Step-by-step explanation:
18/2=9 9-3=6 6*3=18
The equation be (x/2) - 3 = x/3 then, the number of x = 18.
How to estimate the value of x?To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Let x be the number
From the given information, we get
(x/2) - 3 = x/3
The set all the fractions on one side and constants on another side
(x/2) - (x/3) = 3
Multiply by LCM
3x - 18 = 2x
Add 18 to both sides
3x - 18 + 18 = 2x + 18
simplify
3x = 2x + 18
Subtract 2x from both sides
3x - 2x = 2x + 18 - 2x
x =18.
Therefore, the number is x = 18.
To learn more about algebraic expression refer to:
https://brainly.com/question/4541471
#SPJ2
Consider the following linear system.
-2x+5y=23
-10x+ky=115
The value of k that will produce a system with an infinite number of solutions is:
a. -25
b. 25
c. -5
d. 5
Answer:
b. 25
Step-by-step explanation:
To have an infinite number of solutions, both equations must be equal.
-2x + 5y = 23
-10x + ky = 115
Multiply both sides of the first equation by 5 and write it. Rewrite the second equation below the first equation.
-10x + 25y = 115
-10x + ky = 115
For the equations to be equal, you must have
25y = ky
Divide both sides by y.
k = 25
Answer: b. 25
Please help
Solve for x
Answer:
X=15 since it the same
Step-by-step explanation:
X is simply equal to 15 because it an equilateral triangle
please help with number 9!!!
Answer:
2 + sqrt(3)
Step-by-step explanation:
Roots that contain square roots come in pairs
If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)
2 -sqrt(3) means there is a root 2 + sqrt(3)
Instructions: Find the missing side. Round your answer to the nearest
tenth.
590
28
X
X=
What are the solutions to the equation StartFraction w Over 2 w minus 3 EndFraction = StartFraction 4 Over w EndFraction? w = –6 and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
Answer:
Hope it will helps you
.
.
Answer:
and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
hope it's help you...!!!
#rishu
Graph the following lines
Identify the number as prime, composite or neither. If the number is composite, write it as the product of prime
factors.
18
Answer:
composite number
prime factors={2,3}
factors of 18={1,2,3,6,9,18}
❏ Hello there! ❏
This number is composite.
Prime numbers have only two factors.
An example of a prime number is 5 (it's divisible by itself and 1)
Every prime number is divisible by itself and 1 (only these two numbers)
Composite numbers, however, have 3 or more factors.
18 has more than 3 factors, therefore, it's composite.
Product of prime factors:
2*3*3
2 is prime, because it's divisible by itself and 1
3 is prime as well
Hope it helps you!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]-SilentNature -[/tex]
A group of neighbors is holding an end of summer block party. They buy ppp packs of hot dogs, with 888 hot dogs in each pack. All together, they have 565656 hot dogs for the party.
Write an equation to describe this situation.
How many packs of hot dogs did the neighbors buy?
Answer:
565656÷8=p
So the answer is 637:D
Translate this phrase into an algebraic expression. Five more than the product of 8 and Vanessa's savings Use the variable v to represent Vanessa's savings.
Step-by-step explanation:
so, what's the difficulty ?
the product of two things means a multiplication. something times something else.
the product of 8 and Vanessa's savings is therefore expressed as ("×" is the multiplication symbol)
8 × v
and five more than that means just to add 5 to that.
so, in total, we have
8 × v + 5
remember that multiplications and divisions must be executed before any +/- operations (except for any brackets telling us otherwise).
[tex]\frac{1}{5} x + \frac{4}{5} = \frac{8}{5}[/tex]
Answer:
x = 4
Step-by-step explanation:
1/5x + 4/5 = 8/5
Multiply each side by 5 to get rid of the fractions
5(1/5x + 4/5) = 8/5 *5
x+4 = 8
Subtract 4 from each side
x+4-4 = 8-4
x = 4
twelve cubes are stacked to make this figure
Answer:
rectangular prism
Step-by-step explanation:
Answer:
rectangular prism
Step-by-step explanation:
10000-10000+100000-100000
Answer:
0
Step-by-step explanation:
HELPPPPPP please guyss
25 points please help me
Answer:
I can help you with C and I tis non-linear because to make it linear it needs to be a straight line and shouldn't have any curves.
Step-by-step explanation:
divide the numbers 1 to 8 by 9. observe the decimal and discuss your observation of non terminating recurring decimal
Answer:
When dividing the numbers 1-8 by 9, we get whatever number was divided as a decimal in repeating form. For example, 2/9 = 0.22222...
Brainliest, please! I'm almost an Ace!
Step-by-step explanation:
1/9 = 0.11111...
2/9 = 0.22222...
3/9 = 0.33333...
4/9 = 0.44444...
5/9 = 0.55555...
6/9 = 0.66666...
7/9 = 0.77777...
8/9 = 0.88888...