Answer:
28.25in
Step-by-step explanation:
what is the are of triangle ABC with vertices A(-2,1),B(-2,3),C(2,1)?
Answer:
A. 4 square units
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
Your triangle has a base of 4 units and a height of 2 units. Its area is ...
A = 1/2(4)(2) = 4 . . . . square units
__
The triangle dimensions are easily found from your diagram by counting grid squares. If you like, you can subtract the x-coordinates of the points on the horizontal line y=1 to find the base length: 2 -(-2) = 4. And you can subtract the y-coordinates of the points on the vertical line x=-2 to find the height: 3 -1 = 2.
Johnathan has 30 chocolates.He gives some chocklage to his friend David. He then gives Sarah half the number of chocolates he gave David and gives Lily two thirds of what he gave David. After giving away the chocolates,Johnathan has 4 chocolates left. If the number of chocolates Johnathan gives David is x, which equation represents the situation? How many soultiona does this equation have?
x+1/2x+2/3x+4=30, which has one solution
Find the total amount of an investment of $413.99 compounded at 4.25% for 8.5 years
Answer:
Present Value = $413.99
Interest rate = 4.25%
Years = 8.5 years
Future value = P(1+I)^n
Future value = $413.99*(1+0.425)^8.5
Future value = $413.99*(1.0425)^8.5
Future value = $413.99*1.4244478
Future value = $589.707144722
Future value = $589.71
The total amount to be earned as a result of the investment for 8.5 years is $589.71.
Eight out of 32 students in the class wear
glasses. What is the probability that the first
student who walks out of the class will be
wearing glasses?
Answer:
[tex]\dfrac14[/tex]
Step-by-step explanation:
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
If 8 students in a class of 32 wear glasses, then the probability of the first student who walks out of class wearing glasses will be:
[tex]\dfrac{8}{32}[/tex]
Simplifying:
[tex]\dfrac14[/tex]
Which graph below represents a functional relationship? A. 10 10 8 8 6 6 4 2 2 X 10864 6 8 10 10 8 6 4 4 6 8 10 -21 4 -61 -8 -8 10. -10 B. OD. 107 101 8 8 6 6 108 4 2 6 8 10 2. -2) 108 -64 2
Answer:
Graph (C)
Step-by-step explanation:
To find whether the graph\table represents a relationship or a function we have to analyze the input-output values given.
Graph A.
In this graph for every input value (x-value) there are two output values (y-values).
For x = -2, y = -2, 2
So the graph doesn't represent a function.
Graph B.
For every x value there are two y-values
For x = -5, y = -3, 3
So the graph doesn't represent a function.
Graph C.
For every input value there is a different y-value.
Therefore, graph represents a function.
Graph D.
In this graph for x = 3, y = 1, 2, 3, 4
For one value of x, there are four values of y.
Therefore, graph doesn't show the relationship.
Graph C has exactly one output (y-value) corresponding to each input (x-value), therefore, the graph that represents a functional relationship is: Graph C.
What is a Functional Relationship?A functional relationship is a relationship whereby every input in the relation has exactly one possible output.
In other words, a functional relationship must have exactly one output that corresponds to each of the input values.
Thus, graph C has exactly one output (y-value) corresponding to each input (x-value), therefore, the graph that represents a functional relationship is: Graph C.
Learn more about functional relationship on:
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can you guys give me the correct answers to this
Answer:
ok so we know that all lights are either red, yellow or blue so first lets add up the red and yellow
26+37=63
ok so that means that 63 out of the 95 are red or yellow now lets see whats left for blue
95-63=32
32 blue
Hope This Helps!!!
Answer:
32
Step-by-step explanation:
95-26-37=32
use subtraction
What is the inverse of the given coordinates: (-2, 2) (3, 0) (7,7) *
Answer:
[tex]2. - 2 \\ - 3.0 \\ - 7. - 7[/tex]
An isosceles triangle has a perimeter of 28cm and sides of integer length.
How many different such triangles can be made?
Answer:
over 18716271717161626cm
To solve this question, we have to:
Understand the concept of an isosceles triangle.Understand the perimeter concept.Understand the constraint needed to represent a triangle.Doing this, we get that: 6 different such triangles can be made.
Isosceles triangle:
In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.
Perimeter:
The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.
Constraint:
The sum of the lengths of the two smaller sides of a triangle has to be greater than the length of the greater side.
This triangle:
Perimeter of 28.Two sides of x.One side yThus, the perimeter is:
[tex]P = 2x + y = 28[/tex]
Now, for the values of x, we find if the values of y generate a triangle, respecting the constraint.
x = 1
[tex]2 + y = 28 \rigtharrow y = 26[/tex]
1 + 1 < 26, thus, the constraint is not respected.
x = 2
[tex]4 + y = 28 \rightarrow y = 24[/tex]
2 + 2 < 24, thus, the constraint is not respected.
x = 3
[tex]6 + y = 28 \rightarrow y = 22[/tex]
3 + 3 < 22, thus, the constraint is not respected.
x = 4
[tex]8 + y = 28 \rightarrow y = 20[/tex]
4 + 4 < 20, thus, the constraint is not respected.
x = 5
[tex]10 + y = 28 \rightarrow y = 18[/tex]
5 + 5 < 18, thus, the constraint is not respected.
x = 6
[tex]12 + y = 28 \rightarrow y = 16[/tex]
6 + 6 < 16, thus, the constraint is not respected.
x = 7
[tex]14 + y = 28 \rightarrow y = 14[/tex]
7 + 7 = 14, thus, the constraint is not respected.
x = 8
[tex]16 + y = 28 \rightarrow y = 12[/tex]
8 + 8 > 12, thus, the constraint is respected, and this is the first possible triangle.
x = 9
[tex]18 + y = 28 \rightarrow y = 10[/tex]
9 + 9 > 10, thus, the constraint is respected, and this is the second possible triangle.
x = 10
[tex]20 + y = 28 \rightarrow y = 8[/tex]
8 + 10 > 10, the constraint is respected, and this is the third possible triangle.
x = 11
[tex]22 + y = 28 \rightarrow y = 6[/tex]
11 + 6 > 11, the constraint is respected, and this is the fourth possible triangle.
x = 12
[tex]24 + y = 28 \rightarrow y = 4[/tex]
4 + 12 > 12, the constraint is respected, and this is the fifth possible triangle.
x = 13
[tex]26 + y = 28 \rightarrow y = 2[/tex]
13 + 2 > 13, the constraint is respected, and this is the sixth possible triangle.
x = 14
[tex]28 + y = 28 \rightarrow y = 0[/tex]
Cannot have a triangle with a side of 0, so this is not possible.
After the tests, we have that 6 different such triangles can be made.
A similar question is given at https://brainly.com/question/6139098
If you deposit $4500 into an account that pays 5% annual interest compounded quarterly, how money wil you have after 10 years?
Answer:
Step-by-step explanation:
hope this help
Write an equation in slope-intercept form of the line.
Answer: mx+b=y
Step-by-step explanation:
Rise over run
3.
(a)
Expand and simplify 3(x - 3y) + 6y - 8x
SOME1 PLSS HELPP
Answer:
3(x - 3y) + 6y - 8x
Perform the distributive property;
3x - 9y + 6y - 8x ← Expanded form
Group like terms:
(3x - 8x) (-9y + 6y)
-5x - 3y ← Simplified form
Answer:
I believe it is -5x - 3y
A recylcying center was offering cash for different types of recylcables. For each pound of copper they paid $1.48. For each pound of aluminum they paid $1.55. And for each pound of plasic they paid $0.30. Jesse took in 50 pounds of copper, 15 pounds of aluminum, and 10 pounds of plastic. How mush money was he paid for his recyclables?
Answer:
$100.25
Step-by-step explanation:
To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make [tex]T[/tex] for total, [tex]c[/tex] for the amount of copper, [tex]a[/tex] for the amount of aluminum, and [tex]p[/tex] for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: [tex]T=1.48c+1.55a +.30p[/tex]
Now that we have an equation written out, we can plug in the amount of each material to get [tex]T=1.48(50)+1.55(15)+.30(10)[/tex]. We can then simplify this by following PEDMAS and multiplying to get [tex]T=74+23.25+3[/tex] and then all we have left is to add to get [tex]T=100.25[/tex]
HOW DO I SOLVE THIS HELP
Answer:
[tex]x=2\sqrt5[/tex]
Step-by-step explanation:
I'm assuming that 15 is the length of only part of the hypotenuse of the larger triangle.
The remaining part can be easily found by noticing that the red triangle is half an equilateral triangle of side x, so the missing part is x/2.
Now for a known theorem (easily proved with the fact that triangles AHC and ABC are similar) you can write the following equation containing x:
[tex]x^2 = \frac x2 ( \frac x2 +15) \rightarrowx^2 = \frac {x^2}4+15 \\\\3x^2=60 \rightarrow x^2 = 20 \\x=2\sqrt5[/tex]
(where we obviously took only the positive root since x is a lengtth measure.
Describe how you would draw or construct a kite in geometric terms.
Step-by-step explanation:
following properties have been used in constructing the kite
1. diagonals at right angles
2. one of the diagonals bisect
3. pairs of consecutive sides are equal
Regular hours worked = 40; Overtime hours worked = 8; Regular rate of pay = $8.25 per hour*
O $330.00
O $99.00
O $429.00
O $276.00
Answer:
$396
Step-by-step explanation:
Rate of pay per hour = $8.25
Regular hours worked = 48
Overtime hours worked = 8
Total hours worked = 40 + 8
= 48
∴ Money earned in a day = 48 × $8.25
= $396
Hope this helps!
© ? Jordan invests £2100 into his bank account. He receives 5.1% per year simple interest. How much will Jordan have after 2 years? Give your answer to the nearest penny where appropriate.
Answer:
£2314.20
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principal amountr = annual interest rate (as a decimal)t = time (in years)Given:
P = £2100r = 5.1% = 0.051t = 2 years⇒ A = 2100(1 + 0.051 · 2)
⇒ A = 2100(1.102)
⇒ A = £2314.20
The slope of the line shown in the graph is
and the y-intercept of the line is
Answer:
y-intercept is 6, the slope is 2/3
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
17 Mia wants to compare the 100-meter
dash times of 14.084 seconds and
14.102 seconds. Which is the correct
way to compare these two times?
A. 14.084 > 14.102
B. 14.084 < 14.102
C. 14.102 = 14.084
D. 14.102 < 14.084
B. 14.084 < 14.102
< means : less than - smaller than
Please help I will give brainliest
Answer:
30ft
Step-by-step explanation:
i think by common sense as an high schooler
8 times 5 equals 40ft and 6 times 5 equals 30 ft
a map has a scale of 1/2 inches:12 miles if the actual distance between the cities is 480 miles how far apart are they on the map
Answer:
20 inches
Step-by-step explanation:
Since there are 480 miles in total, we have to divide it by 12 so we can see how many half inches that would be.
480÷12 = 40
That would mean you can fit forty 12's in 480. Since 12 miles equals 1/2, you would multiply it by 40.
1/2 × 40 =20
This means that the distance between the cities on the map would be 20 inches.
Which expression is equivalent to 3(v + 8)? (3 + v)8 8(v + 3), (v + 8)3, or 11v
Answer:
the answer is (v+8)3
(my answer needs to be longer so I'm writing this)
Can you find the perimeter of each rectangle and type the correct code? Please remember to type in ALL CAPS with no spaces. *
Answer:
CEFA
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of the 4 sides. A rectangle has two lengths of equal size and two width of equal size. To find the perimeter, add the length and width and multiply by 2.
1. perimeter = 2(3x + 2 + 2x) = 2(5x + 2) = 10x + 4
2. perimeter = 2(4x + 1 + x) = 2(5x + 1) = 10x + 2
3. perimeter = 2(x + 5 + 7) = 2(x + 12) = 2x + 24
4. perimeter = 2(4x - 3 + 5) = 2(4x + 2) = 8x + 4
Codes:
1. C
2. E
3. F
4. A
3 = 0.2m - 7
i need to show my work pls hurry!
[tex]3 = 0.2m - 7[/tex]
[tex]3 + 7 = 0.2m[/tex]
[tex]10 = 0.2m[/tex]
[tex] \frac{10}{0.2} = m[/tex]
plug it on your calculator or multiply 10 by 5
[tex]m = 50[/tex]
Which of the following items would be considered an asset? Select all that apply.
gaming system
stereo equipment
camera
computer
cell phone
Nisha did the work below to solve an equation.
Step 1
Step 2
Step 3
Step 4.
7b+3.2b-5-18.92
10.2b-5-18.92
5.2b- 18.92
D=3.64
In which step did Nisha make her first error?
O Step 1
O Step 2
O
Step 3
Step 4
Answer:step 3
Step-by-step explanation:
Answer:
Step 3.
Step-by-step explanation:
She subtracted the 5 from 10.2b even though 5 did not have the variable b.
Please someone help me out!!!!! Bill is bying a pair of jeans that costs $20. He has to pay 5% sales tax. How much will he pay in all?
Answer:
21
Step-by-step explanation:
First determine the amount of tax
20 * .05
1
Add this to the original amount
20+1
21
He will pay 21 dollars
If you are good at Math please HELP!! Brainliest!!
A conjecture and the paragraph proof used to prove the conjecture are shown.
GIVEN: ABCD is a parallelogram
DC bisects ∠BDE
PROVE: ∠1 ≅ ∠3
Drag an expression or phrase to each box to complete the proof.
Answer:
Please see below :)
Step-by-step explanation:
Angle 2 is congruent to angle 3 by definition of angle bisector.
Angle 1 is congruent to angle 3 by the transitive property of congruence.
Please let me know if something's wrong!
The missing values are:
<2 = 1/2 ∠BDE by Angle Bisector Theorem.
<3 = 1/2 ∠BDE by the transitive property
It is given that ABCD is a parallelogram, so AB || DC by the definition of parallelogram.
So, <1 and <2 are corresponding angles.
Therefore, <1 ≅ <2 by the Corresponding Angles Theorem.
It is also given that DC bisects ∠BDE,
So <2 is half the measure of ∠BDE by the Angle Bisector Theorem. Therefore, <2 = 1/2 ∠BDE.
Therefore, <3 is also half the measure of ∠BDE by the Transitive Property. Thus, <3 = 1/2 ∠BDE.
Therefore, <1 ≅ <3 by the transitive property of congruence.
Learn more about Angle Bisector here:
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a toy which was bought for rupees 100 was sold at rupees 90. what was the loss in percentage
Answer:
Step-by-step explanation:
Cost of toy =100
Selling price = 90
Loss = 100
Loss in percentage = 10/90*100
Loss in %= 11.11
Gabrielle is 11 years younger than Mikhail. The sum of their ages is 77 What is Mikhail's age?
Answer:
44
Step-by-step explanation:
The relations can be written using one variable to represent Mikhail's age: m. Gabrielle's age is (m-11), so the sum of their ages is ...
m +(m -11) = 77
2m = 88 . . . . . . add 11
m = 44 . . . . . . . divide by 2
Mikhail's age is 44.
__
Additional comment
Gabrielle is 33.
You could solve this using two variables:
m - g = 11m + g = 77Adding these two equations gives the one we have above:
2m = 88
m = 44
__
You may have noticed we are given the sum and the difference of the two ages. The older Mikhail's age is half the sum of those two numbers. The younger Gabrielle's age is half their difference: (77 -11)/2 = 33. This "half the sum, half the difference" solution is the generic solution to a "sum and difference" problem.
Gabrielle : 33
Mikhail : 44
Explanation:
Let Mikhail's age be x
And Gabrielle's age be y.
======================
Gabrielle is 11 years younger than Mikhail
y = x - 11 [ equation 1 ]
sum of their ages is 77
x + y = 77 [ equation 2 ]
Insert equation 1 into 2
x + x - 11 = 77
2x = 77 + 11
2x = 88
x = 44
Therefore, the age of Mikhail is 44
Find Gabrielle's age:
y = x - 11
y = 44 - 11
y = 33
Therefore, the age of Gabrielle is 33
HELP ASAP!!
which is greater AC or 4 or neither or both are equal