Answer:a
Step-by-step explanation:
a because I just took the test
Answer:
your answer is d. $21.85
The perimeter cf a rectangle i: 56 inches" the ratio of the length of the width is 6 : 1. Find the length and the width.
Answer: Length = 24; width =4
Step-by-step explanation
Since the ratio of the length to width is 6:1
Let the length be represented as 6x
And the width be = x
Such that that the Perimeter of the rectangle which is
Perimeter = 2(length + width) becomes
56 = 2(6x + x)
56/2 = 6x+x
28 = 7x
x = 4
Width = 4
Length = 6x= 6 x 4 = 24
Lines a b c and d are shown below. Which lines are parallel? Which line are perpendicular? Explain and jutsify your answer using slopes
Answer:
Lines A and C are parallel
Lines B and D are perpendicular
Step-by-step explanation:
Given
See attachment for lines A to D
Required
Determine the parallel and perpendicular lines
To start with, we calculate the slope of each line.
Line A
The points on line A are:
[tex](x_1,y_1) = (3,-4)[/tex]
[tex](x_2,y_2) = (-1,2)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - (-4)}{-1 - 3}[/tex]
[tex]m = \frac{2 +4}{-4}[/tex]
[tex]m = \frac{6}{-4}[/tex]
[tex]m_1 = -\frac{3}{2}[/tex]
Line B
[tex](x_1,y_1) = (-1,8)[/tex]
[tex](x_2,y_2) = (2,6)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]
[tex]m = \frac{-2}{2 +1}[/tex]
[tex]m_2 = -\frac{2}{3}[/tex]
Line C
[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]
Open bracket
[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]
[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]
[tex]y - 9 = -\frac{3}{2}x -12[/tex]
Make y the subject
[tex]y = -\frac{3}{2}x -12+9[/tex]
[tex]y = -\frac{3}{2}x -3[/tex]
The slope intercept of an equation is: [tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m_3 = -\frac{3}{2}[/tex]
Line D
[tex]12x - 8y = 40[/tex]
Subtract 12x from both sides
[tex]12x-12x - 8y = -12x+40[/tex]
[tex]- 8y = -12x+40[/tex]
Divide through by -8
[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]
[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]
[tex]y= \frac{3}{2}x-5[/tex]
The slope intercept of an equation is: [tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m_4 = \frac{3}{2}[/tex]
So, the slopes of the lines are:
[tex]m_1 = -\frac{3}{2}[/tex] [tex]m_2 = -\frac{2}{3}[/tex] [tex]m_3 = -\frac{3}{2}[/tex] [tex]m_4 = \frac{3}{2}[/tex]
Lines with the same slope are parallel.
So:
Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel
Lines with the following relationship are perpendicular:
[tex]m * M = -1[/tex]
Lines B and D are perpendicular because:
[tex]-\frac{2}{3} * \frac{3}{2} = -1[/tex]
[tex]-\frac{6}{6} = -1[/tex]
[tex]-1 = -1[/tex]
Write the equation for the inverse of the function.
y= Arctan (x+Pie/2)
Answer:
y = tan x - pi/2
Step-by-step explanation:
y = arctan(x+pi/2) use that tan y = x is y= arctan x
tan y = x+pi/2; change x with y and find y
tan x= y +pi/2; subtract pi/2 from both sides
-pi/2 + tan x = y
y= tan x -(pi/2) is the inverse function
you can also write it as
y = 1/2(2 tan x -pi)
y = tan x - pi/2
The population of a city can be modeled by the expression p(1.06)^t where t represents the number of years since 1990 and p represents the population in 1990. which statement is correct?
A. the year growth rate of the population is 0.06%
B. the yearly growth rate of the population is 0.6%
C. the yearly growth rate of the population is 1.06%
D. the yearly growth rate of the population is 6%
please respond if you actually know the answer :)
Answer:
D
Step-by-step explanation:
.06 =6%
The expression p(1.06)^t represents D. the yearly growth rate of the population is 6%
What is the population growth rate?The country's yearly average rate of change in population size over a certain time period. It expresses the proportion, growth in population size, and the total population for that year.
Given, The population of a city can be modeled by the expression
[tex]p(1.06)^t[/tex] where t represents the number of years.
This describes the yearly growth rate of the population is 6%.
If in the previous year the population was 100 this year it'll be 106 and next year it'll be 106% of 106 which is 112.36.
learn more about population growth here :
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If a shirt costs 45 dollars, it's marked down to 30% off, what is the amount of the discount?
Answer:
$31.50
Step-by-step explanation:
30% of 45 is 13.5
45-13.5=31.5
7-7/5x=12
Solve for x
Answer:
x= -7/25
Step-by-step explanation:
Answer:
x = -25/7
Step-by-step explanation:
Nika bought a set of 12 rubber ducks for $72.
What is the cost of 1 rubber duck?
(Please help!!)
The length (l) of a tet angular box is 5 centimeters more than twice its width (w).
Write an equation to represent the length of the rectangular box.
Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $8.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable to represent the number of hours.
Answer:
8.8 hours
Step-by-step explanation:
Happy Paws y=4.5x+19
Woof Watchers y=5.75x+8
4.5(8.8)+19
$58.6
5.75(8.8)+8
$58.6
(5x + 2)
72°
I need help pls fast asap
69818247034ue8e83884647
Answer:
The answer is probably = 360° x+ 144°
Choose all of the expressions that are equivalent to 1/4 + 7/8. A. 2/8+7/8 B. 4/16+15/16 C. 8/24+21/24 D. 7/32+28/32 E. 10/40+35/40
Answer:
A & E are correct. I have the same question as you.
Step-by-step explanation:
Just trust me its a and e
What is the value of p(b-c) when b=3,c=3 and p=-2
Answer:
0
Step-by-step explanation:
-2 (3 - 3)
distribute: -6 + 6
add: -6 + 6 = 0
Answer:
0
Step-by-step explanation:
p=-2,b=3,c=3
p(b-c)
-2(3-3)
-2(0)
0
or-2(3-3)
-6+6
0
hope it's helpful ❤❤❤❤
THANK YOU.
#
Jakavion is going to cook brownies in a rectangular pan. The pan measures 11 in. long by 8 in. wide by
3 in tall. What is the surface area of the pan?
Answer:
290
Step-by-step explanation:
2lw + 2lh + 2wh
2×11×8+2×11×3+2×8×3
Rewrite the following expression using the GCF and Distributive Property.
20k + 4m
tdtdidtiddititidtidutdtudutdrysrys6rdr6druurddut
a CD cost $15.50 before tax. What is the total cost after a 6% sales tax is added?
Answer:
16.43
Step-by-step explanation:
gib brainlest or else:0
30 Points Plss HELP!!! Due Today
The dimensions of a triangular prism are shown.
What is the surface area of the triangular prism?
A.20.5 square inches
B.29 square inches
C.32 square inches
D.14.5 square inches
Answer:
C
Step-by-step explanation:
To find surface area you find all the areas of the sides and add them up. We can start by setting up our equations.
A = L x W
For both the sides ——> 2(5 x 0.5) = 5
For both the triangle parts ——> bh/2 ———> (4 x 6)/2 times 2 = 24
For the bottom part ——> 6 x 0.5 = 3
Now to add everything up: 24 + 3 + 5 = 32
32b) What are the like terms in the expression 4y + 5 + 3y? *
Answer:
4y and 3y
Step-by-step explanation:
4y and 3y are like terms because they have y after the number. Every time when a math problem ask you to combine like terms, it'll be the ones that have the same variables or powers.
X+5y=5
What is the slope intercept form of the equation
Answer:
y= 1- 1/5x
Step-by-step explanation:
x+5y=5
-x. -x
-------------
5y = 5-x
÷5. ÷5
-------------
y= 1 - 1/5x
what is the answer to 6y>8
Answer:
y > 4 3
Step-by-step explanation:
i need help solving this question
Answer:
4 1/6
Step-by-step explanation:
First, you have to convert any mixed numbers to fractions.
Then your initial equation becomes:
25/8÷3/4
Second, you have to apply the fractions formula for division.
= 25 x 4
------------- (You will be dividing.)
8 x 3
=100/24
And if you simplify 100/24, the answer will become:
4 1/6
I hope this helps. :)
In a game, the probability that a spinner will land on blue is 1/4. How many times would you expect to land on blue if you spin the spinner 8 times?
Answer:
2 times
Step-by-step explanation:
what is 5n+15 in distributive property
Answer:
5(n+3)
Step-by-step explanation:
factor both of them
their common number is 5
divide 5 by each of them
5/5=1
15/5=3
which value of x makes the inequality 3x+3>15
Answer:
x>4
Step-by-step explanation:
3x+3>15
3x>15-3
3x>12
x>12/3
x>4
A small black cloth bag holds two red counters, two green counters, two
blue counters, and two black counters. All are the same size. Without
looking into the bag, what is the probability of drawing a red counter then
a black counter from the bag without replacement? *
Answer:
1/14
Step-by-step explanation:
P(red, then black) = [tex]\frac{2}{8}[/tex] · [tex]\frac{2}{7}[/tex] = [tex]\frac{4}{56}[/tex] = [tex]\frac{1}{14}[/tex] (simplifed form)
Can someone help me find SP
Consider Carmen’s plans.
Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank.
Carmen used her knowledge of angle relationships to find the value of x in the diagram.
What is the value of x?
x = 5
x = 9
x = 13
x = 16
Answer:
9
Step-by-step explanation:
just did the assignment
8. A blank graph has been provided.
{(-2,-2),(-1,-1),(0,0), (1, 1), (2, 2)}
{(-6,2), (-5, 1), (-4,0), (3, 1), (2, 2)}
{(-2,9),(0,1), (1,0), (3, 4), (4,9)}
{(-1,0), (0, 1), (0, -1),(3, 2), (3,-2)}
1000R
10
Answer: number 1
Step-by-step explanation:
its most likley the first one its a straight line on the graph
like if this helped
Can you help me find the value of x is.
a. 132
b. 200
c. 228
d. 256
Answer:
C
Step-by-step explanation:
C
Help me please I need this answer ASAP
Answer:
ok
Step-by-step explanation:
I WILL GIVE BRAINLIEST! I NEED IT ASAP!!!
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
Answer:
LSA of a cube = 100 in²
Explanation:
Let the area of the cube be a.
Given the following data;
a = 5 in²
To find the lateral surface area;
We know that a cube has four faces and as such the lateral surface area would be the area of the four faces.
Lateral surface area (LSA) of a cube = 4a²
Substituting into the equation, we have;
LSA of a cube = 4*5²
LSA of a cube = 4*25
LSA of a cube = 100 in²
Therefore, the lateral surface area of the package is 100 square inches.
THe Left one
The bottom and the left lateral face have the largest area.
The area of the prism is 96 cm³.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The bottom one:
Lateral area.
= 12 x 4
= 48 cm²
The left one:
Lateral area.
= 12 x 4
= 48 cm²
The diagonal one:
Lateral area.
= 1/2 x 4 x 4
= 8 cm²
Now,
Area.
= ( 1/2 x 4 x 4 ) x 12
= 8 x 12
= 96 cm³
Thus,
The bottom and the left lateral face have the largest area.
The area of the prism is 96 cm³.
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