Answer:
Step-by-step explanation:
set the equation for the area equal to the equation of the perimeter.
Then solve for x
-----------------------------
Figure a
area = perimeter
3x = 2(x + 3)
Distribute
3x = 2x + 6
subtract 2x from both sides
x = 6
perimeter
p = 2(x + 6)
p = 2(3 + 63)
p = 18
Area
a = 3x
a = 3*6
a = 18
----------------------------
Use the same method on the remaining figures
What is the circumference of a circle with a diameter of 9 inches? (use 22/7 for pi)
28 in.
24 in.
30 in.
27 in.
Answer:
28 inches
Step-by-step explanation:
The circumference is given by
C = pi *d
C = 22/7 ( 9)
C =198/7
=28.28571429 inches
Solve the problem.
An initial investment of $930 is appreciated for 19 years in an account that earns
6% interest, compounded continuously. Find the amount of money in the
account at the end of the period.
$1275.35
$22,067.28
$12,424,545.93
$2907.89
Answer:
$2907.89
General Formulas and Concepts:
Symbols
e (Euler's number) ≈ 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra i
Compounded Continuously Formula: [tex]\displaystyle A = Pe^{rt}[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 930
t = 19
r = 6% = 0.06
Step 2: Find Interest
Substitute in variables [Compounded Continuously Formula]: [tex]\displaystyle A = 930e^{19 \cdot 0.06}[/tex][Exponents] Multiply: [tex]\displaystyle A = 930e^{1.14}[/tex]Evaluate exponents: [tex]\displaystyle A = 930(3.12677)[/tex]Multiply: [tex]\displaystyle A = 2907.89[/tex]Form a linear equation in two variables for each of the following :
a) Pak Osman bought x oranges and y apples with a total amount of RM50. He sold an orange and an apple for RM0.60 and RM0.70 respectively. After he sold all the fruits, he earned a profit of RM10.
b) The sum of numbers x and y is five times the difference between the two numbers. The value of x is greater than the value of y.
Step-by-step explanation:
a. (0.60x + 0.70y)- 50 = 10
<=> 0.60x + 0.70y = 60
b. (x+y) = 5(x-y)
x+y=5x-5y
<=> 4x - 6y = 0
2.
What is the slope of the line passing through the points (9,16) and
(3, 4)?
Answer:
2
Step-by-step explanation:
m = rise/run
m = (16-4) / (9-3)
m = 12 / 6 = 2
PQ and QR are 2 sides of a regular 12-sided polygon. PR is a diagonal of the polygon. Work out the size of angle PRQ. You must show your working.
Answer:
15°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.
A regular 12-sided polygon is a polygon with 12 equal sides and angles.
The sum of interior angles of a polygon is given as:
sum = (2n - 4)90; where n is the number of sides of the polygon
For a 12 sided polygon:
Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°
Therefore since all the angles are equal, each angle = 1800° / 12 = 150°
Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x
Therefore in triangle PQR:
∠PQR + ∠PRQ + ∠QPR = 180°
150 + x + x = 180
150 + 2x = 180
2x = 30
x = 15°
∠PRQ = 15°
What is the length of PR?
40°
Ο.
110
X
110
R
Ο Α. 11
Ο Β. 13
C. 81
Ο D. 9
Answer:
it's 9
Step-by-step explanation:
hope this helps <3
Solve for x : 3(2x - 1) - (4-x) = 2(2x + 10 )
Answer:
6x-3-4+x=4x+20
7x-7=4x+20
7x-4x=20+7
3x=27
X=27/3
X=9
Answer:
(6×-3)-(-4+×)=4×+20
6×-3--4+×=4×+20
6×+1+×=4×+20
6×-4×=20-1
2×=19
devide by two both sides
×=9.5
I have been stuck on this all day, please explain how to do this
Answer:$3,700
Step-by-step explanation:
Gross sales are the total amount of sales a company earned throughout a specific period of time, without taking into consideration any costs involved with running a business. Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales. For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft or sales tax.
Gross Sales = $3,700
Gross sales are the total amount of sales a company earned throughout a specific period that is 3700 dollars.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
Gross sales are the total amount of sales a company earned throughout a specific period, without taking into consideration any costs involved with running a business.
Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales.
For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft, or sales tax.
Gross Sales = $3,700
Learn more about sales;
https://brainly.com/question/15375944
#SPJ2
What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?
Answer:
The image point is (-1,-2)
Step-by-step explanation:
Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)
Mathematically;
If we reflect a point (x,y) over the line y = -x
we have the coordinate change to (-y,-x)
so, (4,6) becomes (-6,-4)
Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate
we have this as;
(-6 + 5, 2-4) = (-1,-2)
What is the slope of the line graph above?
find the area of the polygon.
I WILL MARK BRANIEST PLS ANSWER
Answer:
15cm^2
Step-by-step explanation:
The given polygon is a parallelogram,
Area of a parallelogram = Base * Height
= 5cm * 3cm
= 15cm^2
Hope it helped :)
the answer for this is 7.5
or when run becomes 8
Step by Step Explanation:
taken triangle KLM.
Area of a triangle=
[tex] \frac{1}{2} \times base \: \times height[/tex]
[tex] \frac{1}{2} \times 5 \times 3 \\ [/tex]
[tex] \frac{1}{2} \times 15[/tex]
= 7.5 or when run becomes 8Triangle P Q R is shown. Angle Q P R is a right angle. The length of hypotenuse Q R is 14.1 and the length of P R is 12.7. What is the measure of ∠R in △PQR? Round to the nearest degree. 26° 42° 45° 64°
Answer:
<R = 26degrees
Step-by-step explanation:
Making <R as the reference angle
Adjacent side = 12.7
Hypotenuse = 14.1
Cos <R = adj/hyp
Cos <R = 12.7/14.1
Cos <R = 0.9007
<R = arccos(0.9007)
<R =25.7
<R = 26degrees
Answer:
A. 26°
Step-by-step explanation:
I took it on EDG
Can You Help Me Out Please
Answer:
x = -3
Step-by-step explanation:
3^x = 1/27
Rewriting
1/27 as 1/3^3 = 3^-3
3^x = 3^-3
Since the bases are the same, the exponents are the same
x = -3
Answer:
Step-by-step explanation:
4/81x
Is offering free credit on a new $30.000 car. You pay $3,000 down and then $900 a month for the next 30 months.
what is the binomial expansion of (x+1)^5
Answer: "A"
somewhat of a trick question
use pascals triangle (or binomial expansion)
0-1
1-1,1
21,2,1
3- 1,3,3,1
4- 1,4,6,4,1
5- 1,5,10,10,5,1
NOTICE THAT "A" has the 1,5,10,10,5,1 in the 5th row
Step-by-step explanation:
What is 25% of 4kg 200g
Step-by-step explanation:
25% of 4kg 200g
25/100 × 4.200
4.200/4
=1.05 kg or 1kg 50g
find the quotient of this
Answer:
3.02 is the answer for this question if the answer is correct plz mark me as brainliest
Answer:
3.02
Step-by-step explanation:
51.34 ÷ 17 = 3.02
A chewing gum consists of 30% corn syrup and 40% sugar. The rest was made up by gum Arabic. Find the weight of the Gum Arabic in a 25gm piece of the chewing gum. Max points pls just bloody answer it
Answer:
7.5 grams
Step-by-step explanation:
The percent of gum Arabic is 100 -30 -40 = 30 %
30% of 25 g =
.30 * 25
7.5 grams
Answer:
[tex]7.5gm[/tex]
Step-by-step explanation:
Solution:
[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]
How can you add eight 4s together so that the total adds up to 500?
Find the angles P, Q, R and S. P =3x , Q =x , R = 4x , S =2x
Answer:
Q=36°, P=108°, R=144°, S=72°.
Step-by-step explanation:
angle on a quadilateral is equal to 360°
so 3x+x+4x+2x =360°
10x=360°
x=26°
help asap ------------
Answer:
(-35, 0)
Step-by-step explanation:
x- intercept => y =0
y = -68, -51, -34, -17, 0
x = -79, -68, -57, -46, -35
(x, y) =>(-35, 0)
Pls help with this
Will give brainliest
Answer:
First one 2(x^2-4)
Like that you can do
Step-by-step explanation:
Vote as brainliest
Answer:
4(a). 2(x^2 - 4)
(e). ab(a^2 - b^2)
5(a). (x + 2)^2
(d). (x - 4)^2
6(a). -(3x - )^2
(b). 2(x-5)(x+5)
Step-by-step explanation:
If this helps you, please give brainliest!
Which expression is a trinomial of degree 1?
Answer:
A
Step-by-step explanation:
Answer:
"C"
trinomial means three parts, degree 1 means highest exponent is 1
x & y are of degree 1 and there are three parts
Step-by-step explanation:
Solve 7x + 6 <3(x - 2).
A. {xlx>-3}
B. {xlx<-3}
C. {xlx<-2}
D. {x1x<0}
Answer:
x<-3
Step-by-step explanation:
Write 1.547x10^3 as an ordinary number
Answer:
1547
Step-by-step explanation:
10^3 is 1000 1.547 x 1000 = 1547.
Pls follow and mark answer as brainliest
What is the solution to the system of equations graphed?
Answer:
D. (1, 5)
Step-by-step explanation:
the solution to the system of equations is the point of lines intersect => (1, 5)
Jamal made 77% of his free throws and Brian ,made 62% of his. Jamal had a better record.
Answer:46
Step-by-step explanation:
decide which point lies on the line that is parallel to AB and passes point P.
(fourth answer choice is J)
Find the missing side of the triangle and leave the answer in simplest radical form
Answer:
it would be radical 7
15 = x²+ 8
x²= 15 - 8
x²= 7 >>>>> radical 7 = x
Step-by-step explanation:
hope it helps
Answer:
x = √7.
Step-by-step explanation:
Using the Pythagoras theorem:
x^2 = (√15)^2 - (2√2)^2
x^2 = 15 - 8
x = √7.
Find two integers whose sum is -10 and product is 16
TWO INTERGES PLEASE
Answer:
-2 and -8
Step-by-step explanation:
-2 + (-8) = -10
-2 * -8 = 16