The average speed of the car for the given distance is 91.97 km/hr.
What is speed and velocity?While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.
Given that, a car started 35 minutes later that is it started after:
35 minutes = 35/60 = 0.5833 hours
Now the distance is given as:
distance = speed x time
Now, for speed = 65 km/hr:
distance = 65t
For the car the time is (t - 0.5833) thus:
distance = speed x time
130 = speed x (t - 0.5833)
Now for speed we have:
30 = s x (t - 0.5833)
130 = st - 0.5833s
130 + 0.5833s = st
130/s + 0.5833 = t
Now, substituting the value of t in the equation of the van we have:
distance = 65t
distance = 65(130/s + 0.5833)
130/s + 0.5833 = distance/65
130/s + 0.5833 = distance/65
130/s + 0.5833 = 130/65
130/s + 0.5833 = 2
s = 91.97km/hr
Hence, the average speed of the car for the given distance is 91.97 km/hr.
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What’s the length of a segment whose endpoints are (8,-6) and (-4,2)?
Answer:
Step-by-step explanation:
Imagine or draw a triangle with horizontal leg length 8 - (-4), or 12, and vertical leg length |-6 - 2|, or 8. Use the Pythagorean Theorem to find the length of the hypotenuse:
length of hypotenuse = +√(8² + 12²) = √208 = 4√13 (Answer A)
You are drawing a map of your school and want to make sure all the measurements are accurate. You decide to use a scale of 1 cm = 3 feet. In your drawing, the main hallway ends up being 12 cm long.
The drawing is a little too big so you decide to change the scale to 1 cm = 4 feet.
Keeping the length in feet the same, how many centimeters long should the main hallway be in your new drawing?
Answer:
the main hallway should be 12cm in the new drawing
Step-by-step explanation:
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Answer:
106°
Step-by-step explanation:
By exterior angle theorem:
[tex]m \angle \: 1 = 62 \degree + 44 \degree \\ \\ m \angle \: 1 = 106 \degree[/tex]
Step-by-step explanation:
Let the unknown angle in the triangle be x.
x + 44 + 62 = 180(sum of angles in a triangle)
x + 106 = 180
x = 180 - 106
x = 74
Angle 1 + x = 180 (Sum of angles on the same straight line)
angle 1 + 74 = 180
Angle 1 = 180 - 74
= 106
Mrs. Smith has a 34-pound bag of sugar to use for 6 cakes. How much sugar, in lbs, is used for each cake? Round your answer to the hundredths
Answer:
32
Step-by-step explanation:
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Find the area of the composite figure below. Use 3 for π
.
420 yd²
350 yd²
157.5 yd²
150.2 yd²
Answer:
350 yd² v. .v
Step-by-step explanation:
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I) what percentage of students finished the race in less than 12 seconds:
number of students who finished before 12 seconds= 16
total number of students= 20
% = (16×100)20 = 80%
ii) B.3
Answer:
number 5 is D
and number 6 is C
how many time must a three-minute
timer be flipped to measure a half hour
Answer:10
Step-by-step explanation: 30/3=10 times, each time taking three minutes to count down
Complete the statement. Round to the nearest hundredth if necessary.
6 lb = *blank* oz
Answer:
3 oz
Step-by-step explanation:
You have to divide 6 by 2 and you'll get the answer.
A basketball team visited a store. There are 12 team members in all. Each team member bought 2 wristbands and 1 headband. Let w represent the cost of a wristband and h represent the cost of a headband.
Answer:
24 + 121
Step-by-step explanation:
w=wristband.
h=headband
Total wristbands:-
[tex]\\ \sf\longmapsto 12(2)=24[/tex]
Calculate the area of the shape below:
6 in
6 in
12 in
O 54 in?
0 432 in?
O 216 in
O 108 in?
Answer:
54
Step-by-step explanation:
The square in the middle = 36, as 6x6=36
There are 2 triangles on each side of the center square.
Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.
3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2
18x1/2 is 9.
Each triangle equals 9.
36+9+9=54
The final answer is 54
After applying the distributive property to the expression 8(12-4) and then multiplying what will be the first term in the resulting subtraction expression
Answer:
The first term in the resulting subtraction expression is 96.
Step-by-step explanation:
Given - After applying the distributive property to the expression 8(12-4) and then multiplying
To find - What will be the first term in the resulting subtraction expression ?
Proof -
Given the expression is -
8( 12 - 4) = 8(12) - 8(4)
= 96 - 32
⇒8( 12 - 4) = 96 - 32
So,
The first term in the resulting subtraction expression is 96.
NEED ANSWERS NOW!! (Reward) brainlest and pointsss 27!!!
Answer:
quadrant 1 that the graph is mainly in
Answer:
x = 9
x = 1
Step-by-step explanation:
1+1=
5
2
3
1
help me plz
Answer:
2 haha
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Question 1
Select ALL of the expressions below that represent the product of n and 7.
zn
n+7
7+n
Which of the following has a value that is greater than 10,000 but less than 100,000?
Answer:
8.721 x 10^4
Step-by-step explanation:
hope this helps:)
find the nth term of this quadratic sequence 4 9 16 25 36
Answer:
aₙ = n² + 2n + 1Step-by-step explanation:
a₁ = 4 = 2² = (1 + 1)²
a₂ = 9 = 3² = (2 + 1)²
a₃ = 16 = 4² = (3 + 1)²
a₄ = 25 = 5² = (4 + 1)²
a₅ = 36 = 6² = (5 + 1)²
Therefore:
aₙ = (n + 1)² = n² + 2n + 1
The two legs of a right triangle measure 7 inches and 5 inches. Find the measure of the acute angle that is included between the longer leg and the hypotenuse. WILL GIVE BRAINIEST TO FIRST RIGHT ANSWER
Answer:
44.4 degrees
Step-by-step explanation:
Given the following
Hypotenuse = 7
Longer leg = 5 (adjacent])
Let the acute angle angle between both sides be x
According to SOH CAH TOA
Cos theta = adj/hyp
Cos x = 5/7
x= arccos (5/7)
x = arccos (0.7143)
x = 44.4degrees
Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees
NO LINKS!! PLEASEE HELPP QUICK I POSTED THIS SO MANY TIMES AND NOBODY ANSWERS PLSSS HELP MEEE Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >
Answer:
y ≤ -2x - 2
Step-by-step explanation:
Slope- intercept form is y = mx + b, m being the slope and b being the y-intercept.
The slope is the rise of the line over the run. We can choose two points that are exactly on the line. Let's try points (-1, 0) and (0, -2). The line slopes down, so we already know the slope is negative. From point (-1, 0), the line goes down 2 units and over 1 unit. So, the slope is -[tex]\frac{2}{1}[/tex]. We can also simply say that the slope is -2.
The line intersects with the y-axis at point (0, -2), so the y-intercept is -2.
Because the shading is on the left side of the line and the line is solid, we can tell that y is less than or equal to -2x - 2. So, the equation is-
y ≤ -2x - 2
Help pls
Find x
a(21)
b(27)
c(9)
d(18)
9514 1404 393
Answer:
a. 21
Step-by-step explanation:
The external part of the hypotenuse of the right triangle is shown. The full length of the hypotenuse is 9+20 = 29. The Pythagorean theorem can be used to find x.
x^2 +20^2 = 29^2
x^2 = 841 -400
x = √441
x = 21
__
Alternate solution
The diameter of the circle is 2·20 = 40 units, so the product of distances from the external vertex to the opposite sides of the circle along the secant is (9)(40+9). The product of the distances along the tangent is x·x. These two products are equal, so ...
x^2 = 9(49)
x = (√9)(√49) = 3·7
x = 21
Anyone that is good at math, Mind giving me some help please?
Answer:
Add 3 after multiplying 1 and x.
Step-by-step explanation:
In this question we have to convert the given algebraic expression into a verbal expression.
Given algebraic expression is,
y = x + 3
Here, x is multiplied by 1
And 3 is added to x.
Therefore, verbal expression or statement will be,
Add 3 after multiplying 1 and x.
This rule defines the relationship between x and y.
5x – 3y = 24
What is the Slope and Y Intercept?
Answer:
y=5/3x-8
Slope = 5/3
Y int = (0,-8) or y=-8
Step-by-step explanation:
Answer: 5/3x - 8
Step-by-step explanation:
-3y=24-5x
/3
5x/3 -8
5/3x - 8
Help me pleaseee I need help
I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T continue
It's Homework #1: Odds
Answer:
1/2 ; 7/10
Step-by-step explanation:
1) we have ten letters A, E, I, O, U are five letters, so the odd can be expressed with the fraction 5/10, that can be simplified in 1/2
2) we have 7 non black parts in a total of ten parts, so the odd is 7/10
What is the answer to c to the fifth power, times c to the eighth power, times c to the negative fifth power?
Answer:
c^8
Step-by-step explanation:
Expressing the above Mathematically ;
c^5 * c^8 * c^-5
From.rules of indices :
a^x * a^y = a^(x + y)
Therefore, applying the rule of indices ;
c^5 * c^8 * c^-5 = c^(5 + 8 + - 5)
c^5 * c^8 * c^-5 = c^(5 + 8 - 5)
c^5 * c^8 * c^-5 = c^8
Hence,
c^5 * c^8 * c^-5 = c^8
The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Answer:
6 rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs 6 rolls.
Step-by-step explanation:
to find perimeter, add up all the side lengths.
so 15*4 (it's easier than 15+15+15...)
60 ft.
now we have to use Pythagorean's Theorum to find corner to corner.
so [tex]a^2+b^2=c^2[/tex]
we have a and b
[tex]15^2+15^2=c^2[/tex]
do the math...
225+225= 450
square root of 450=
21.213
double that because it's used twice (corner to corner and corner to corner)
42.426
now add it all up
42.426 + 60 = 102.426
we can round
102
20*5 = 100
so she needs 6
MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.
Answer:
Katie needs 6 crepe rolls.
Step-by-step explanation:
Hello!
Katie originally needed ~5.1 crepe rolls, but since its a question on how many rolls she should by, she should get 6.
There are a couple of steps in order to solve this.
Brainly is being weird- so I put an explanation to the problem in the image below- hope it helps!
help me please! i need help!
9514 1404 393
Answer:
7u -63
Step-by-step explanation:
The distributive property says you can eliminate parentheses by applying the outside factor to each term inside parentheses.
(u -9)7 = (u)(7) +(-9)(7) = 7u -63
Answer:
(u -9)7 = (u)(7) +(-9)(7) = 7u -63
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will mark you brainliest and no links because i have a resticted computer. will report if link.
plsss its very easy for other people. i need help asap
Answer:
I'm pretty sure for the percent question the answer would be A because 6% of 40,000 is 2400 and if I multiply that 5 times I get 12000 so I believe its A!
Which number has the greatest value?
A 7.8 x 10-3
B 1.3 x 10-6
C 5.5 x 10-3
D 9.5 x 10-2
Answer:
D 9.5 x 10^-2
Step-by-step explanation:
D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2
What’s the probability?
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
The probability for a flip on either side of the coin is always 50% or [tex]\frac{1}{2}[/tex]
So to get the probability for the three flips just do:
[tex](\frac{1}{2}) ^{3}[/tex] or [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex]
Either way you solve it the answer is [tex]\frac{1}{8}[/tex]