Answer:
Acceleration, [tex]a=4\ m/s^2[/tex]
Step-by-step explanation:
Given that,
Initial speed = 4 m/s at 2 seconds
Final speed = 32 m/s at 9 seconds
We need to find car's average acceleration. We know that average acceleration is equal to the change in speed divided by the change in time. So,
[tex]a=\dfrac{v_2-v_1}{t_2-t_1}\\\\=\dfrac{32-4}{9-2}\\\\=\dfrac{28}{7}\\\\=4\ m/s^2[/tex]
So, the car's average acceleration is equal to [tex]4\ m/s^2[/tex].
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon? Before you try that problem, answer the question below. How many \textbf{inches}inches of ribbon does the dressmaker have, in total?
Answer: 20
Step-by-step explanation:
First and foremost, we should know that: 12 inches = 1 foot. Therefore converting 3 feet to inches will be:
= 3 × 12 = 36 inches.
Therefore, if a dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. The number of pieces will be:
= 3 feet / 9 inch
= 36 inches / 9 inches
= 4 pieces
Then, the number of 9-inch pieces that the dressmaker can cut from 5 of these rolls of ribbon will be:
= 4 × 5
= 20 pieces
A store offers 20% off all items. Let x represent the original purchase price.
Answer:
what are we soposed to do?
Step-by-step explanation:
Keith is 5 years older than Trina. Two times the sum of their ages is 62. Write and solve an equation to find Keith’s age.
Answer:
Trina is 13
Kieth is 18
Step-by-step explanation:
x + 5 = Kieth's age
Divide by 2 to separate the ages:
62 ÷ 2 = 31
Subtract the difference in ages:
31 - 5 = 26
Add the 5 years to Kieth's age:
31 + 5 = 36
Divide by 2 again, to eliminate the twice of their ages
26 ÷ 2 = 13
36 ÷ 2 = 18
Trina is 13
Kieth is 18
This is what i got. Sorry if i'm wrong, lmk if i am!
Hope this helps! Brainliest if i'm correct!?
ayoo could someone please help me with my math?? multiple selection answer:)
Which of the following options represents an equation that can be used to solve for the missing side of a right triangle? Select all that apply.
Answer:
choice 1) a^2+b^2 = C^2
and
choice5) c = sq rt(a^2+b^2)
Company cuz closed at $52.93 per share with a P/E ratio of 15.17 how much were earnings per share
Answer: $3.49
Step-by-step explanation:
Earnings per share shows how much of the profit of the company every share will get.
You can use it to calcutae the P/E ratio through the following formula:
P/E ratio = Share price / Earnings per share
15.17 = 52.93 / EPS
EPS * 15.17 = 52.93
EPS = 52.93 / 15.17
= $3.49
3x-12y=216 solve for y fully reduced
3x-12y=216
-3x. -3x
-12y=216-3x
÷-12. ÷-12
Y= -18+1/4x
I think
PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!!
Answer:
Step-by-step explanation:
T = $3b
Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).
Answer:
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given the equation of the line
[tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]
cross-multiplication, we get
5y = 6x +4
The equation of the straight line is 6x - 5y +4=0
The equation of the perpendicular line to the given line is
b x - ay +k=0
The equation of the perpendicular line to the given line is -5x-6y +k=0
This line passes through the point (-3,2)
⇒ - 5(-3) -6(2)+k=0
⇒ 15 -12 +k=0
⇒ 3 +k=0
⇒ k =-3
Step(ii):-
The equation of the perpendicular line is
-5x-6y-3=0
5x + 6y +3 =0
6y = -5x-3
[tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]
Final answer:-
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
A scale drawing of a house shows 9cm x10cm. If
6cm=12 ft, what are the actual dimensions?
Answer:
18ft x 20ft
Step-by-step explanation:
(I'm kinda in a rush so I can't explain right now, sorry!)
Hope that helped though :)
The actual dimensions of the house is 18 feet by 20 feet.
Scaling is used to either increase or decrease the size of a figure to create an image.
Given that a scale of 6cm to represent 12 ft. Hence:
9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet.
10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet.
The actual dimensions of the house is 18 feet by 20 feet.
Find out more on scaling at: https://brainly.com/question/25324744
The Bill for dinner at Dave and Busters last night was $62.20. The waiter received an 18% tip. How much of a tip did the waiter receive?
Which of the following expressions could be used to find the perimeter of this figure?
P = 4(18 mm) + 2(24 mm)
P = 18 mm + 24 mm
P = 2(18 mm) + 4(24 mm)
P = (18 mm)(24 mm)
Answer:
A
Step-by-step explanation:
four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:
P= 4(18mm) + 2(24mm)
A
Answer:
P = 4(18 mm) + 2(24 mm)
Step-by-step explanation:
Please help!!
Raymond planted a vegetable garden containing 50 plants. There were 15 tomato plants, 10 green bean plants, 5 pepper plants, 12 zucchini plants, and 8 cucumber plants.
Use the percent that you find and multiply each times 360° to find the number of degrees for each sector of the circle graph based on this data.
108* tomato
72*green bean plants
36*pepper
86.4*zucchini
57.6*cucumber
Can someone help pls? With working out if possible :)
Answer:
x=7/2
Step-by-step explanation:
first, multiply 3/4 and 5/8 into the () to get rid of them.
3/4x -3/4 = 5/4x -5/2
next, combine like terms
5/4x -3/4x = -3/4 +5/2
1/2x = -3/4 +10/4 = 7/4
divide both sides by 1/2
x= 7/2
please help me tysm!
Stan has read 90% of his book. If his book is 360 pages long, which is the best estimate of how many pages he still has to read?
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Micheal plays 1/15 of a song in 1/5 of a minute. How many minutes will it take to play the whole song?
Answer:
3 minutes
Step-by-step explanation:
To find how many minutes it will take to play the whole song, multiply 1/5 by 15
15(1/5)
= 3
So, it will take 3 minutes to play the whole song
Answer:
Given :-Micheal plays 1/5 part of song in 15 minTo Find :-Time taken to complete whole song
Solution :-Let the time taken be x
Now,
x = 1/5 of 15
x = 15/5
x = 3 min
Step-by-step explanation:
[tex] \\ [/tex]
PLEASE HELP ME WITH THIS QUESTION!!!!!!!!
I think it's a 1/2 because if you look at it and look at the points the smallest triangle would be half of that
I'm confused on this
Answer:
y= -2/3x +4
Step-by-step explanation:
(0,4) and (6,0)
m= (y2-y1)/(x2-x1)
m= (0-4)/(6-0)
m= -2/3
y-y1=m(x-x1)
y-4= -2/3(x-0)
y-4= -2/3x
y= -2/3x +4
Answer:
D
Step-by-step explanation:
Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.
The hypotenuse of a right triangle is 10 ft long the longer end is 2 ft longer than the shorter leg. Find the side lengths of the triangle
Answer:
The sidelength of the triangles is 6 feet and 8 feet.
Step-by-step explanation:
Given that,
The Hypotenuse of a right triangle = 10 feet
Let the shorter leg is x. It means the longer leg is (x+2).
For a right triangle,
Hypotenuse²=base²+perpendicular²
So,
[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]
The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.
Answer: -8 6
Step-by-step explanation:
The coordinates of the vertices of a triangle are G(-4,2), O(5,-1), and T(10,8).
What is the length of the segment joining the midpoint of GT and O?
Answer:
6.33
Step-by-step explanation:
Given the coordinates;
G(-4,2), O(5,-1), and T(10,8).
Midpoint of GT is expressed as;
M = (-4+10/2, 2+8/2)
M = (6/2, 10/2)
M = (3, 5)
Hence the midpoint of GT is (3,5)
Find the length of M and O
M (3,5) and O(5,-1)
MO = √(3-5)²+(5+1)²
MO = √2²+6²
MO = √4+36
MO = √40
MO = 6.33
Hence the length of the segment joining the midpoint of GT and O is 6.33
The length of the segment joining the midpoint of GT and O is 6.33.
The calculation is as follows;Midpoint of GT is expressed as;
[tex]M = (-4+10\div 2, 2+8\div 2)\\\\ = (6\div 2, 10\div 2)[/tex]
= (3, 5)
Hence the midpoint of GT is (3,5)
Find the length of M and O
M (3,5) and O(5,-1)
[tex]MO = \sqrt (3-5)^2+(5+1)^2\\\\= \sqrt(2^2+6^2)\\\\= \sqrt 4+36\\\\= \sqrt 40[/tex]
= 6.33
Learn more: brainly.com/question/16911495
jalen lost 12 pounds in the first 3 weeks of his diet. After this point , his weight loss slowed by half. If he lost a total of 84 pounds , how many weeks did it take him?
Larry wants to purchase birthday gifts for his twin sisters. One sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem. Which inequality could he use to determine how many of each flower he could buy if he only has $35.00 to spend? Let x represent the number of daisies and y the number of tulips. Group of answer choices
Answer: 2x + 3y = 35
Step-by-step explanation:
Let x = number of daisies
Let y = number of tulips
Since one sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem, the inequality that could be use to determine how many of each flower he could buy if he only has $35.00 to spend will be:
2x + 3y = 35
i know the value of x is congruent to the other side, confused about the square root part
Answer:
I think it is that I'm not sure[tex]10 \sqrt{3} [/tex]
What is the area of the trapezoid? [A = 5(61 + b2)h]
202 ]
A) 1249.5 sq cm
B) 162.75 sq cm
C) 105 sq cm
D) 38.75 sq cm
Answer:
A = 105 cm²
Step-by-step explanation:
The area (A) of the trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] [ (b₁ + b₂)h ]
where h is the height and b₁, b₂ the parallel bases
Here h = 5 , b₁ = 24 and b₂ = 18 , then
A = [tex]\frac{1}{2}[/tex] [ (24 + 18)5 ]
= [tex]\frac{1}{2}[/tex] (42 × 5)
= [tex]\frac{1}{2}[/tex] × 210
= 105 cm²
9t + 21t - 8
It needs to be factored
What is the length of QR
Answer:
8
Step-by-step explanation:
Set 3n-1=5n-7.
Solve.
n=3.
Plug in 3 to 5n-7.
QR=8
Answer:
QR=8
Step-by-step explanation:
so using the fact that the two triangles are congruent, we can determine:
5n-7=3n-1
5n-6=3n
2n-6=0
n=3
so we replace all n in 5n-7 with three
5x3-7
15-7
8
All formula of Trignometric Identities
[tex] \huge \purple{\tt{Answer:}} [/tex]
Trigonometric identities and relations2xy +1 = 1
solve for x
Answer:
the answer of this question is 0
A. First, convert this equation into y-intercept form
y = 2x + 1
B. 2 is the slope: 1 is the y-intercept
Then, plug in 1 for y and solve
C. 1 = 2x + 1
Therefore, x is 0
What’s the answer?!?!?
Answer:
24 inches
Step-by-step explanation:
You can see in the picture a triangle is formed where the sides are AB, BC, and AC.
The side lengths you have are AC = 16 and BC = 20.
You can use the Pythagorean Theorem, [tex]a^2+b^2=c^2[/tex], so:
[tex]16^2+b^2=20^2[/tex]
[tex]256+b^2=400\\b^2=144\\b=12[/tex]
This means that the length of AB = 12.
It's asking the diameter, and AB is the radius, so you have to do 12 * 2 to find the diameter = 24 inches
In ∆DEF, ∠F = ∠D and EF = 4 cm and DF = 5 cm. Then find the length of DE
Answer:
DE = 4cm.
Step-by-step explanation:
The Isoscles Triangle Theorem says that:
"If two sides of a triangle are congruent, then angles opposite those sides are congruent."
The converse of this theorem is
"If angles opposite those sides are congruent, then two sides of a triangle are congruent."
Therefore, since ∠F is congruent to ∠D and are opposite sides ED and EF
while EF = 4 cm and DF = 5 cm.
DE = 4cm.
. Which statement about the
function y=-3x – 2 is true?
A. As the value of x increases, the value of y increases.
B. As the value of x decreases, the
value of y stays the same.
C. As the value of x increases, the value of y decreases.
D. As the value of x decreases, the value of y decreases.
Answer:
C. As the value of x increases, the value of y decreases.
Step-by-step explanation:
The slope is -3. Negative slope means:
As y increases, x decreases.
Therefore:
As y decreases, x increases.