Answer:
18.6inches
Step-by-step explanation:
Given the length of a side of a pentagon to be 6 inches.
If this length is dilated by a factor of 3.1, the new length will be;
New length = Old length * dilation factor
New length = 6 * 3.1
New length = 18.6inches
Hence the length of each side of the dilated pentagon is 18.6inches
work out the equation of the line which has a gradient of 2 and passes through the point (1,4).
Answer:
y = 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (1, 4) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = 2x + 2 ← equation of line
Answer: y=2x+2
Step-by-step explanation:
Write each phrase as an algebraic expression.
n divided by 8
p multiplied by 4
b plus 14
90 times x
a take away 16
k less than 24
3 groups of w
the sum of 1 and q
the quotient of 13 and z
c added to 45
8 less than w
(please, don't say something random to get points, say the answer only.)
(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a - 2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve
Answer:
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Step-by-step explanation:
Solving (i):
[tex]3 (a + 5b) + a (a + 4)[/tex]
Open brackets
[tex]3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a[/tex]
Collect like terms
[tex]3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b[/tex]
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
Solving (ii)
[tex]y (10 - y) + 3 (y - 2)[/tex]
Open bracket
[tex]y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6[/tex]
Collect like terms
[tex]y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
Solving (iii)
[tex]2 (8a - 5b) + 3 (5a - 12)[/tex]
Open bracket
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36[/tex]
Collect like terms
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
Solving (iv)
[tex]3 (y - 3) + ( 8 - 6y + x)[/tex]
Open bracket
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x[/tex]
Collect like terms
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
Solving (v):
[tex]a (a - 2b) + b (b + 2a - c)[/tex]
Open bracket
[tex]a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc[/tex]
Collect like terms
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
Solving (vi)
[tex]5 (x - y + z) + (4x + 3y)[/tex]
Open brackets
[tex]5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y[/tex]
Collect like terms
[tex]5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
3(x+2)^2+7 in standard form
Answer:-2x^2+3x-7=0
Step-by-step explanation:
3. A line contains the points P (1,1) and Q (7,10) what is the slop of the line
Answer:
9/6 is the slope but that simplifies to 3/2
Step-by-step explanation:
y2-y1
x2-x1
10-1=9
7-1=6
Joanne deposits $4,300 into a one-year CD at a rate of 2.3%, compounded daily.
What is her ending balance after the year?
How much interest does she earn?
What is her annual percentage yield to the nearest hundredth of a percent?
Answer:
5k
Step-by-step explanation:
The interest accrued on the principal is $100.
Using the formula;
A = P( 1 + r/n)^nt
A - amount
P - Principal
r = rate
n = Number of times the interest is compound
t = time in years
Substituting values;
A = 4,300( 1 + 0.023/365)365 × 1
A = $4400
Interest = $4400 - $4,300 = $100
The annual percentage yield is obtained from;
APY=100 (1 + r/n )n – 1
APY=100 (1 + 0.023/365)^n - 1
APY= 100(0.023)
APY= 2.3 %
Learn more: https://brainly.com/question/14283892
a) Work out (8 x 10°) * (2 x 104)
Give your answer in standard form.
Whats the standard form ?
Answer:
16640x²
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
The value of x is given from proportion and x = 9
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the first polygon and second polygon be similar
So , the ratio of their corresponding sides will also be similar
Substituting the values in the equation , we get
( x -1 ) / 6 = 16 / 12 be equation (1)
On simplifying the equation , we get
Multiply by 6 on both sides of the equation , we get
( x - 1 ) = ( 16 x 6 ) / 12
( x - 1 ) = 16 / 2
On simplifying the equation , we get
x - 1 = 8
Adding 1 on both sides of the equation , we get
x = 9
And ,
( y + 1 ) / 21 = 32 / 24 be equation (2)
On simplifying the equation , we get
Multiply by 21 on both sides of the equation , we get
( y + 1 ) = ( 4 x 21 ) / 3
y + 1 = 4 x 7
y + 1 = 28
Subtracting 1 on both sides of the equation , we get
y = 27
Hence , the value of x is 9
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Which expression gives the measure of Z RST in the diagram below?
T
u
S
38
V
162
R
A. 162° + 38°
B. 162° -38°
c. Ż(162° - 38°)
O D. (162° + 38°)
Answer:
Your answer should be C. 1/2(162 - 38)
Step-by-step explanation:
determine whether the ratios are equivalent. 4 7 and 8 11
Answer:
answer is the ratios are not equivalent or not in proportion
Step-by-step explanation:
you can find it by crops multiplication
4/7
8/11
4*11
8*7
44=56
Therefore it is not in proportion
Answer: 4 : 7 = 8 : 14
8 : 11 = 16 : 22
Step-by-step explanation:
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)
Answer:
Step-by-step explanation:
Subtracting from the x value shifts the graph to the right that many units. In this case the graph is shifted to the right by 2 units.
Answer:
It moves to the right 2
Step-by-step explanation:
:)
(4, 6)
(-7, 2)
Find the slope
Answer:
slope = 4/11
Step-by-step explanation:
To find the slope, use delta y/ delta x
(4,6) (-7,2)
(2-6)/(-7-4)
(-4)/(-11)
slope = 4/11
Let m = slope
m = difference of y-values divided by the difference of x-values.
m = (2 - 6)/(-7 - 4)
m = -4/-11
m = 4/11
Ramon earns $1,725 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
Step-by-step explanation:
Remark
The formula you use is (Electricity / Total Income ) * 100
The ratio becomes 53.7/1725 * 100%
The ratio is 53.7/1725 * 100 = 0.03113 * 100
The % = 0.03113 * 100 = 3.113
To the closest tenth that is 3.1%
find the value of x please help
using angle sum property
we get
110+35+(x+12)=180
(x+12)=180-145
(x+12)= 35
x= 35-12
x= 23
Answer:
Angles in a triangle are sum up to 180 degrees.
35 + 110 + (x+12)=180
145+x+12=180
157+x=180
x=180-157
x=23 degrees
wait i love food sooooooooooooooooooooo much
Answer:
Me toooooooooo..!!!!!!!
Get as many people to answer this question will give brainiest for free!!!!
Answer:
huh?
Step-by-step explanation:
Please help me with the question I asked I’m doing a text please.
Answer:
Wait, what question?? I can try to do it.
image down below plz help
Answer:
12 boys and 18 girls
Step-by-step explanation:
the ratio from boys to girls is 2 to 3
12/2=6
18/3=6
both equal 6 meaning that both are proportional meaning that A is the correct answer
Answer:
a.
Step-by-step explanation:
12 and 18 is equal to 2/3
Johnny uses the mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.If the mirror is 45 feet away from the building’s base, how tall is the building?
Answer:
Step-by-step explanation:
h/45=6/4
h=45(6)/4
h=67.5ft
Question 4:
b
S
You and your three friends take turns taking random samples of 10 jellybeans from a jar of
800 jellybeans. All the jellybeans are returned to the jar and mixed in, before the next sample
is taken out. The table shows the number of different coloured jellybeans in each sample.
Sample
1
2
3
4
Red
6
4
5
4
Yellow
1
3
2
4
White
3
1
2
1
Green
0
2
1
1
1
a) For each sample what is the experimental probability of picking a red jellybean?
Sample 1:
Sample 2:
Sample 3:
Sample 4:
aww
Answer:
.op
Step-by-step explanation:
Find the y-intercept of each line defined below and compare their values
Answer:
They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units
Step-by-step explanation:
Remember your y-intercept has an x value of zero, so line B has a y intercept of (0,-2)
now let's find b in the original equation so
y - 8 = -2x - 2 so y = -2x -2 + 8, so y = -2x + 6
So line A has a y-intercept of (0,6)
They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units
The two triangles shown can be proven congruent through ...
AAS
ASA
SAS
SSS
Answer:
Step-by-step explanation:
SAS
Answer:
AAS
Step-by-step explanation:
ASAP i need help with this. I will give you brainlist
Part A
Students at Sunnyside Middle School are selling tickets to the annual talent show. Below is a table showing ticket prices for students and adults.
Talent show ticket prices
Student Price $3
Adult Price $5
What amount of money would be collect if 60 students and 30 adults bought tickets? Show or explain how you got your answer.
Part B
For this part define s and a as follows:
S= number of students tickets purchased
A= number of adult tickets purchased
The total of all tickets sold was $625.00. Write an equation in items like of s and a to represent this information
Part C for this part define a and a as follows:
S= number of adult tickets purchased
A=number of adults tickets purchased
The total number of students and adults who bought tickets is 165. Write an equation in terms of a and a to represent this information.
Part D
Using the information in parts (b) and (c), determine the following:
The number of students who bought tickets
The number of adults who bought tickets
Show or explain how you got each of your answers.
(70 points)------------------
Answer:
Wait I don't understand the question... It looks like it is already answered- :(
Step-by-step explanation:
If I start with 3 and count by 4's until I reach 99, I get 3, 7, 11, …, 99, where 3 is the first number, 7 is the second number, 11 is the third number, and so on. If 99 is the Nthnumber, what is the value of N?
Answer:
Given variables:
a=3
d=4
Tn=99
N=?
Using the formula
Tn=a+(n-1)d
99=3+(n-1)4
96=4(n-1)
24=n-1
25=n
Therefore N=25
Which of the following is a solution to the equation y=-1/4x+8 and please explain the steps.
A. (10, -8) C. (-4, 9) B. (4, 8 )D. (-8, -10)
A plumber charges $18 for transportation and $27 per hour for repairs.
Complete the expression that can be used to find the cost in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is
h.
Total = price per hour x number of hours + travel fee.
Total = 27h + 18
Luke walks 40 miles in 25 seconds and Maria walks 30 miles in 10 seconds who walks faster?
Answer:
Thank to Goalscore24 correcting me, its actually Maria walking faster
Because 40 divided by 25 is 1.6
and 30 divided by 10 is 3
So Maria runs 3 miles in 1 second, and Luke runs 1.6 miles in 1 second
So Maria is faster.
Hugo cut 15 short strips of paper then he cut 14 long strips how many strips of paper did he go cut in all
A.1 strip of paper
B.28 strip of paper
C.2 strip of paper
D.29 strips of paper
Answer:
D.) 29
Step-by-step explanation:
Add 15 and 14
what's
[tex]25\% \: \: of \: \: 200[/tex]
Step-by-step explanation:
50 is the answer I
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