The area is the measure of a space delimited by a contour that is called perimeter. In some cases, the term surface or area is often used interchangeably, but the former refers to space, while the latter refers to its measurement. That is, area is the measurement of a surface.
To calculate the area of a triangle:Obtaining the measurements of its sides,
The sides are:
BaseHeightEach of these sides measures a certain amount, for that, which is multiplied.
To calculate the area: multiply the given value of the base by the value of the height, and divide by 2.
For this, the following formula is applied:Area = B * h / 2See more at:https://brainly.com/question/24514946Kendra took out a loan for $8,000 for 3 years with a compound interest rate of 1.75%. How much will she owe
Answer:
She will owe approximately $8,427.40 after three years.
Step-by-step explanation:
The compound interest formula is
A = P(1 + r/n)^(nt)
where A is the final amount; P is the principal, or initial, amount; r is the interest rate, as a decimal; n is the number of times the interest is applied per year; and t is the amount of time, in years.
By substituting the values in and assuming that the interest is compounded every year, we get:
A = 8,000(1 + 0.0175)^((1)(3))
8,000(1.0175)^3
8,000(1.05342411)
8,427.40.
If r = 5 units and h = 7 units, what is the volume of the cylinder shown above? Use 3.14 for .
Answer:
549.5
Step-by-step explanation:
The formula for the Volume of a right cylinder is V= π r² h. First you are going to substitute the 5 with the r and the 7 with the h. V= (3.14)5²(7). 5²= 25.
3.14 (25)=78.5
78.5 (7)=549.5
Answer is 549.5
515x + 285y=11,080. X+Y=30
Answer:
work is shown and pictured
Answer:
x = 11, y = 19.
Step-by-step explanation:
515x + 285y=11,080
x + y = 30
Divide first equation by 5:
103x +57y = 2216
Now multiply the second equation by -57:
-57x - 57y = -1710
Adding the last 2 equations:
46x = 506
x = 506/46 = 11
Substituting for x in x + y = 30:
11 + y = 30
y = 19.
solve for x
-4(-x -1) + 2x + 3 = 43
Answer:
x=36
Step-by-step explanation:
-4(-x-1)+2x+3=43
or, 4x+4+2x+3=43( when there is - sign in multiply the sign will be +)
or, 4x+2x+4+3=43( arranging the like terms)
or, 6x+7=43( adding both numbers)
or, 6x=43-7(when there is + sign in one side if it will go to another side it will be -sign)
or, 6x=36(substracting the numbers)
or, x=36/6(when there is multiply in one side there will be divide)
or, x=6
Hope it is helpful for you
Help Me Pls Umm.... Yeah
Answer:
I think B, AC = 5
Step-by-step explanation:
You can see that the shape, DEF and ABC, both hav a number at the bottom. So We know that there is a scale factor of 2, because 6÷3 is 2. So, if we wanna know what AC is we can divide 10, from DEF, by two, we get 5. So, AC is equal to 5. :)
The perimeter of a rectangle is 16cm. If the length is doubled, the perimeter is 26. What are the length and width of the rectangle? Please explain all steps required, thanks ahead of time!
Answer:
Length is 5, width is 3.
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]
Where P is the perimeter, l is the length, and w is the width.
With the original length and width, the perimeter is 16, thus:
[tex]16=2l+2w[/tex]
Now, if we double the length, the 2l will become 4l. Also, the perimeter will change to 26. Thus:
[tex]26=4l+2w[/tex]
Now, we have a system of equations. We can solve it using elimination. Multiply everything by -1 in the first equation:
[tex]16=2l+2w\\-16=-2l-2w[/tex]
Now, add the equations:
[tex]-16=-2l-2w\\26=4l+2w[/tex]
-16 plus 26 is 10. -2l plus 4l is 2l. The 2w cancel. Thus:
[tex]10=2l[/tex]
Divide both sides by 2:
[tex]l=5[/tex]
So, the original length was 5.
To find the original width, substitute 5 back into the first equation:
[tex]16=2(5)+2w[/tex]
Multiply:
[tex]16=10+2w[/tex]
Subtract 10 from both sides:
[tex]2w=6[/tex]
Divide both sides by 2:
[tex]w=3[/tex]
So, the original width was 3.
And we're done!
Checking:
Originally, our length was 5 and 3. This means that the perimeter is 2(5+3)=2(8)=16 which is correct.
After we double our length, our length will be 10. This means that the new perimeter is 2(10+3)=2(13)=26. So, our answers are correct!
Let's assume that length be L and width be B.
Perimeter of rectangle is given by,
Perimeter = 2( L + B)
So,
⇒ 16 cm = 2 ( L + B )
⇒ 8cm = L + B _______( Say equation 1)
Now, we are given that when length is doubled perimeter is 26.
So,
⇒ 26 cm = 2 ( 2 L + B )
⇒ 13 cm = 2 L + B
⇒ 13 cm = L + L + B
Now use equation-1
⇒13 cm = L + 8cm
⇒13 cm - 8 cm = L
⇒5 cm = L
Therefore length is 5cm.
Now substitute this value in equation 1
⇒L + B = 8 cm
⇒5cm + B = 8 cm
⇒B = 8 cm - 5 cm
⇒B = 3 cm
Therefore breadth is 3 cm.
PLEASE HELP 15 points
Answer:
a
Step-by-step explanation:
PLEASE HELP 15 points
PLZ HELP ME PLZZZZZ 50 points & brainleist to first person PLZ HELP ME
Question is in the picture help I’m desperate
Answer:
the measure of <BAC = 60° and
46) option D is not true
Question 45
The two remote interior angles 3x and 2x add to the exterior angle 150. This is an application of the remote interior angle theorem
2x+3x = 150
5x = 150
x = 150/5
x = 30
angle BAC = 2x = 2*30 = 60 degrees
Answer: 60 degrees===================================================
Question 46
Choice A is true because of what I mentioned in the previous problem.
Choice B is true because we can find that angle C is 180-150 = 30. Then we can say A+B+C = 2x+3x+30 = 180 as all three interior angles of any triangle always add to 180.
Choice C is true since the equation above x = 30 can be written as 3x-2x = 30. It's a bit of a strange thing to do this, but it's still a valid statement.
Choice D is not true since 2x+3x is 150, which isn't 180 or larger. Even if we didn't know about the 150 at all, we still can't have 2 interior angles of a triangle add to 180 or larger (refer back to choice B).
Answer: Choice Don the number line shown above what number represents the point half the distance between points A and B
What is the distance between (9,-4) and (-22, 8)?
Answer:
≈ 33.2 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)
d = [tex]\sqrt{(-22-9)^2+(8+4)^2}[/tex]
= [tex]\sqrt{(-31)^2+12^2}[/tex]
= [tex]\sqrt{961+144}[/tex]
= [tex]\sqrt{1105}[/tex] ≈ 33.2 ( to 1 dec. place )
Simply a3 • a4
And (2a) (5ab)
Answer:
a^3 (a^4) = a^7
(2a)(5ab) = 10a^2b
Step-by-step explanation:
Evaluate the following: 6+ (5 + 1).
Answer:12
Step-by-step explanation:6+(5+1)
5+1=6
6+(6)=12
Identify if the following sequence is arithmetic or geometric.
-5, 0, 5, 10, 15, 20, ...
Arithmetic
Geometric
Answer:
Arithmetic
Step-by-step explanation:
Because arithmetic sequences are sequences where the values have a constant change. But Geometric sequences are when the ratois of the values have constant change.
Hope This Helped :)
SOMEBODY HELP ASAP!! 33 POINTS!
PLEASE HELP ME!!!!!!!
Answer:
:))
Step-by-step explanation:
Collect like terms, keeping the integer rules in mind
5. 5a + 9b - 3a + 2b + 4a
5a + 4a - 3a + 9b + 2b (REARRANGE, if you find it to help)
6a + 11b
6. 7m + 3n - 8m + 2n + 10m
7m + 10m - 8m + 3n + 2n
9m + 5n
10. 10m²n + 5mn + 9m²n - 2mn
10m²n + 9m²n + 5mn - 2mn
19m²n + 3mn
Try to do the rest on your own :)
matthew opened a checking account with 150. On monday, he bought lunch for 9.30 and wrote a check for 25.75. He deposited 75 on wednesday, and 65.18 was deducted for his car insurance on thursday. How mch money was remaining in his account
Answer:
124.77
Step-by-step explanation:
Matthew opened a checking account with 150
On Monday he bought lunch for 9.30 and wrote a check for 25.75
He deposited 75 on Wednesday
On thursday 65.18 was deducted from the account for his car insurance
The total expenses incurred on Monday can be calculated as follows
=9.30+25.75
= 35.05
This means that 35.05 will be debited from his account
On wednesday, he made a deposit of 75, this implies that a credit will be made to his checking account
On thursday, 65.18 was removed from his account for car insurance
Therefore since the initial balance of the account was 150 then, the remaining money that will be left in his account can be calculated as follows
= 150-35.05+75-65.18
= 124.77
Hence the money remaining in Matthew's account is 124.77
Answer:
The answer is 124.77
Step-by-step explanation
Each day for a week, Paul swims 20 laps of a 50 metre pool. One lap is from one end of the pool to the other. He wants to know if he keeps this up, how many laps he will have completed after 5 weeks and how far he would have swum in that time. (a) How many laps does Paul swim in one week?
Answer:
140 laps and 7,000 idk on this tho
Step-by-step explanation:
A vendor sells fifteen sweatshirts for $15 each, thirty t-shirts for $10 each, and forty hats for $8 each. What is the average price of an item sold that day?
I think the answer is 3$ because if you divide each item by the price you get 1 3 and 5 3 is more likely to be the middle so that would be your average price the unit rate of each of the items is dividing the price by the number of items to get the price of one item or your unit rate.
Simplify 12A + 2 + A - 1.
Answer:
13a+1
Step-by-step explanation:
Answer:
13A + 1 Hope this helped:)
Is 4.565656.... Rational or Irrational
Answer:
Rational
Step-by-step explanation:
4.5656565656... can be turned into a fraction. The number is a repeating decimal. Repeating decimals are rational numbers.
4.5656565656... = [tex]4\frac{56}{99}[/tex]
Hope this helps.
Who is at the trail start at 9:00 a.m.?
Answer:
please add a picture or the rest pf the question and i might be able to help thank you :)
Step-by-step explanation:
find equation of the line shown
Answer:
[tex]\huge\boxed{y=-x+9}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
From the graph we have the y-intercept (0, 9) → b = 9.
Substitute it to the equation of a line:
[tex]y=mx+9[/tex]
From the graph we have the x-intercept (9, 0) → x = 9, y = 0.
Substitute to the equation:
[tex]0=9m+9[/tex] subtract 9 from both sides
[tex]-9=9m[/tex] divide both sides by 9
[tex]-1=m\to m=-1[/tex]
Finally:
[tex]y=-1x+9[/tex]
how do you write 0.00000072 in scientific notation
Answer:0.00007=7×10−5
Step-by-step explanation:
A new Youth Sports Center is being built in Hadleyville, The perimeter of the rectangular playing field is 430 yards. The length of the field is 5 yards
the width. What are the dimensions of the playing field?
The width is
yards
The length is
yards
Answer:
Width = 44 yards
Length = 171 yards
Step-by-step explanation:
given data
length of the field = 5 yards
Perimeter of the rectangular field = 430 yards.
solution
we consider here length of the field = L
and width of the field = W
as we know length of the field 5yards less than quadruple the width
so here
L = 4W - 5 .....................................1
and
Perimeter (P) will be here
P = 2(L + W) ............................................2
put here equation 1 value
430 = 2(4W - 5 + W)
solve it we get
W = 44
so here put value in eq 1 we het
L = 4W - 5
L = 4(44) - 5
L = 171
so, length of the field is 171 yards
1/7x + 3= 15 what is x?
Answer:
x=84
Step-by-step explanation:
1/7x +3=15
1/7x=15-3
1/7x=12
divide by 1/7
X=84
If the endpoints of segment AB are A(-4,5) and B(2,-5),
please help!
Answer:
[tex]d = \sqrt[2]{34}[/tex]
Step-by-step explanation:
We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).
Use the following distance formula:
[tex]distance[/tex] [tex](d) =[/tex] [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - x_{2})^2 }[/tex]
Let:
Point B(2 , -5) = (x₁ , y₁)
Point A(-4 , 5) = (x₂ , y₂)
Plug in the corresponding numbers to the corresponding variables.
[tex]d =[/tex] [tex]\sqrt{(-4 - 2)^{2} + (5 - (-5))^{2} }[/tex]
Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.
[tex]d = \sqrt{(-6)^{2} + (5 + 5)^{2} } \\d = \sqrt{(-6 * -6) + (10)^2} \\d = \sqrt{(36) + (10 * 10)} \\d = \sqrt{36 + (100)} \\d = \sqrt{136}[/tex]
Simplify:
[tex]d = \sqrt{136} = \sqrt{2 * 2 * 2 * 17} = \sqrt[2]{17 * 2} = \sqrt[2]{34}[/tex]
[tex]d = \sqrt[2]{34}[/tex] is your answer.
~
Please help I have a test tomorrow
Answer:
The answer is 24
Step-by-step explanation:
Water flows through a pipe at a rate of 9300 pints per year. Express this rate of flow in milliliters per hour. Round your answer to the nearest whole number
Answer:
Water flows through a pipe at a rate of about 502 milliliters per hour.
Step-by-step explanation:
1 Pint is equal to 473.176 Milliliter
There are 8,760 Hous in a Year
---------------------------------------------
9,300 Pints is about 4,400,541 Milliliters
4,400,541 divided by 8,760 is 502.344863014
Thats about 502 Milliliters
:)
PLEASE HELP ME WITH ALL THE QUESTION BE HONEST PLEASE URGENT!
Answer:
59
Step-by-step explanation:
1. -35
2. +9
3. -23
4. +3
5. +5
6. -7
7. +125
8. -18
Add them all up in a calculator and you get 59