Answer:
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point
Step-by-step explanation:
Linda walks in a straight line at 2 miles/hour
then after t ( hours time) she is 2 (m/h) * t = d (L)
for Tom running at 6 m/h starting one hour later to cover the same distance d(L)
d(L) = 6 m/h * ( t - 1 ) then:
2 (m/h) * t = 6 m/h * ( t - 1 )
2*t = 6*t - 6
4*t = 6
t = 6/4
t = 1,5 h
Checking that result.
we see that in 1,5 hours Linda has covered 2* 1,5 = 3 miles
and in 0.5 hours Tom covered the same distance 0,5 * 6 = 3 miles
NOTE: Remember that tom started one hour later.
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
b) In this case
d(T) = 6* ( t - 1 ) must be equal to twice of the Linda distance
d(L) = 2 * 2 * t
6*t - 6 = 4*t
2*t = 6
t = 3
To check it
in 3 hours Linda had covered 3 * 2 = 6 miles
in 2 hours Tom had covered 2 * 6 = 12 miles
cuanto es (60 : 10 + 8) x 2
Answer:
28
Step-by-step explanation:
Solve the triangle. Round decimal answer to the nearest tenth...
Answer:
DE ≈ 16.1, ∠E ≈ 60.3°, ∠D ≈ 29.7°
Step-by-step explanation:
use pythagorean theorem:
DE² = 8² + 14² => DE = √8² + 14² ≈ 16.1
use inverse tangent function:
∠E = [tex]tan^{-1}[/tex](14/8) ≈ 60.3°
∠D = [tex]tan^{-1}[/tex](8/14) ≈ 29.7°
Answers:
side DE = 16.1 unitsangle E = 60.3 degreesangle D = 29.7 degreesThe "units" and "degrees" portions of the answers are likely to be left out.
===============================================
Explanation:
Since we have a right triangle, we can use the pythagorean theorem to find the hypotenuse DE
a^2+b^2 = c^2
c = sqrt(a^2+b^2)
c = sqrt(8^2+14^2)
c = 16.124515496597
c = 16.1 is the approximate length of side DE
----------------------------------
We'll use the tangent ratio to find angle E
tan(angle) = opposite/adjacent
tan(E) = FD/FE
tan(E) = 14/8
E = arctan(14/8)
E = 60.2551187030578
E = 60.3 degrees
The notation arctan is the same as inverse tangent. You should have a [tex]\tan^{-1}[/tex] button on your calculator to help compute the inverse tangent.
-------------------------------------
We could use the tangent ratio to solve for angle D, by noting that
tan(D) = 8/14
or we could use the idea that D+E = 90 which solves to D = 90-E
D = 90-E
D = 90-60.3
D = 29.7 degrees
Note how arctan(8/14) = 29.74488 which rounds to 29.7
Change this fraction to an equivalent fraction with multiplication.
2/6=
Answer:
2/6 =1/3
Step-by-step explanation:
2/1 = 2
6/2 = 3
How many whole numbers are less than n+1
Answer:
Hello There!!
Step-by-step explanation:
↬I believe there is 1 whole number less than n+1.
hope this helps,have a great day!!
~Pinky~
ab + c = d solve for a
[tex]a = \frac{d - c}{b} [/tex]
Answer:
a = (d - c)/b
Step-by-step explanation:
ab + c = d
ab = d - c
a = (d - c)/b
Hope that helped! All you need to do is simplify.
what’s the solution to 2/3a - 1/6 = 1/3
Find the value of x.
PLS help!!!! will give brainliest
Answer:
C.
Step-by-step explanation:
I can explain in comments if needed, but c is the correct answer :)
What is the equation in point-slope form of the line passing through (−2, 1) and (4, 13)
Answer:
y = 2x + 5
Step-by-step explanation:
We have two points,
(-2,1) and
(4,13)
from which we can find the slope, m, where
m = (13-1)/(4--2) = 12/6 = 2
take any of the two points to form the point-slope form
y-y1 = m(x-x1)
y-13 = 2 (x-4)
y = 2x - 8 + 13 =2x+5
Check:
when x = -2, y = 2(-2)+5 = 1 checks.
Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics? 0.22 0.25 0.70 0.88
Answer:
0.88
Step-by-step explanation:
We would consider the first case second column....
So 14/16 will be the probability that comes out be approximately 0.88.
Answer:
D
Step-by-step explanation:
how to solve for vertex form
y = -x^2 + 4x – 1
Find the value of x and the value of y.
A. x = 6, y = 12√2
B. X = 9, y = 12
C. X= 6√3, y= 12
D. X= 6√2, y = 24
Answer:
C.
Step-by-step explanation:
x is bisecting the baseline (cutting it in 2 halves of 6).
the third angle in the main overall triangle is 60 degrees.
remember, all angles in a triangle always add up to 180 degrees.
so, 180 - 60 - 60 = 60.
that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.
=> y = 12
and now using Pythagoras to calculate the height (x) of the triangle :
y² = x² + 6² (remember, this side is only half the baseline)
12² = x² + 6²
144 = x² + 36
x² = 108
x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)
Answer:
Answers can be found on g4uthmath app on phone. Take a picture of the figure + "find the value...", with the a, b, c, and d options (the options with the equations, not just the letters itself). Don't include "Analyze the diagram below and complete the instructions that follow."
Anyways. answer is C!
x = 6sqrt3, y = 12
The isosceles triangle ABC has an area of 48 square units if AB=12 what is the perimeter of Abc in units?
Answer:
the answer would be 4 because you multiply
the area of a square is 4x^2+12x+9. Write an expression to represent the length of the side of the square.
Answer:
An expression to represent the length of the side of the square with an area of 4x^2+12x+9 in terms of x is 2x + 3
Step-by-step explanation:
all sides of a square are equal in length.
area of a square is the side length squared.
area a, side s, variable x.
a = 4x^2 + 12x + 9. s = ? x = ?
a = s^2.
a = 4x^2 + 12x + 9.
4x^2 + 12x + 9 = s^2.
x^2 + 3x + 9/4 = (s^2)/4.
factor x^2 + 3x + 9/4 = (s^2)/4.
(x + 3/2)(x + 3/2) = (s^2)/4.
(x + 3/2)^2 = (s^2)/4.
√((x + 3/2)^2) = √((s^2)/4).
take positive root.
x + 3/2 = s/2
solve for side s.
s/2 = x + 3/2
s = 2x + 3
A salesperson earns a 45% commission and has a
sell for $880. Determine the commission the
salesperson will make.
Answer:
880 times 0.45 equals 396 as his/her commissioner fee
Step-by-step explanation:
A coffee shop offers coffee either iced or hot in sizes small, medium, and large. The flavor options are vanilla,
hazelnut, and caramel. If you received a coffee at random, what is the probability you would receive a large,
iced, hazelnut coffee?
Answer:
1/18
Step-by-step explanation:
There are 2 x 3 x 3 = 18 combinations of coffee. Only one is large, iced and
hazelnut
So, the probability is 1/18
I NEED HELP ASAP! What is the area of the following right triangle? 13 5
Answer:
Hello! answer: 30
Step-by-step explanation:
Triangle area can be found be doing base × height × 1/2 or base × height ÷ 2
So...
12 × 5 = 60 60 ÷ 2 = 30 therefore the area is 30 hope that helps!
The area of the following right-angled triangle is 30 sq units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
By the concept of Pythagoras' theorem,
13² = 5² + h².
h² = 13² - 5².
h² = 144.
h = 12.
Now, We have the height and we can find the area of the triangle,
= (1/2)×5×12.
= 30 sq units.
learn more about triangles here :
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Please guys say me the answer fast By full step by step process those who give me correct answer i will make him brainalist ☺️
Answer:
1. 345,600 seconds
2. 432,000 seconds
3. 1 day
4. 7500 meters
Hope that this helps!
Answer:
4 days=345600sec
5 days=432000
86400=24 hours
7.5km = 4.6miles
Step-by-step explanation:
60sec * 60= 1hour * 24 * 4=4 days if one day = 86400 sec than 4 days is 345600 and we know one day is 86400 seconds so just add that for one day
to convers km to mils you multiply the km value by .6214
Ive done a I just need b :)
Answer:
Step-by-step explanation:
Simon needs 1000 ML of milk
Craig needs 60 G of butter
Answer:
Craig needs 7.5g of butter to make 12 pancakes.
Step-by-step explanation:
To calculate how many times you need to multiply 8 by to make 12, simply divide 12 by 8. This gives you 1.5.
1.5*5 =7.5
So Craig needs 7.5g of butter to make 12 pancakes.
Find the area. Simplify your answer.
x+8
X+9
Answer:
incomplete question i will assume that you have an rectangle
(x+8) by (x+9)
area = x^2 + 17x + 72
Step-by-step explanation:
Ramona wants to estimate 73% of 5,459 . To what should he round the percentage to find a reasonable estimate
Answer:
70%
Step-by-step explanation:
He should round the percentage to the nearest 10 which will give him a more reasonable prediction. Hope this helps!
What is the surface area of the right rectangular prism?
Answer:
Hello! answer:
Step-by-step explanation:
6 × 12 = 72
6 × 12 = 72
3 × 12 = 36
3 × 12 = 36
3 × 6 = 18
3 × 6 = 18
72 + 72 + 36 + 36 + 18 + 18 = 252 therefore the surface area would be 252 hope that helps!
Answer:
252 in²
Step-by-step explanation:
You have to calculate the area of each surface and sum all they after:
Top area: 6 × 12 = 72 in
Front area: 3 × 12 = 36 in
Side area: 6 × 3 = 18 in
You have 2 rectangles with the same measure of the top, of the side and the front, so multiply each area per 2:
72 × 2 = 144
36 × 2 = 72
18 × 2 = 36
Now you sum all the areas:
144 + 72 + 36 = 252 in²
Х
At midnight the temperature was –8 degrees
Fahrenheit. At noon the temperature was 23 degrees
Fahrenheit. How much did the temperature increase
by?
help very easy 5th grade math im in rush
Answer:
C. every rhombus is a parallelogram
Answer:
every rhombus is also a parallelogram....
Determine the most precise name for the quadrilateral,
Answer:
Rhombus
Step-by-step explanation:
This isnt a rectangle because it doesnt have right angles. and the precise name would be a rhombus
PLEEEEEEEEEASE HELLLPPP TEACHER IS TERRIBLE AND WONT HELP MEEEEEE
Answer:
A(-1,1) B(-3,2) C(-3,4) D(-1,5)
Step-by-step explanation:
when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.
What is the product?
One-eighth times three-elevenths
Answer:
3/88
Step-by-step explanation:
when multiplying fractions, you can just multiply across. make sure to simplify!
Line l and line m are straight lines. What is the measure of angle y?
43°
47°
137°
147°
Answer: 190
Step-by-step explanation:
Answer:
C. 137
Step-by-step explanation:
WILL GIVE BRAINLIEST
A line plot takes a _____
and plots each occurrence of a data point on a number line.
Answer:
I think the correct answer is B
A line plot takes a frequency table and plots each occurrence of a data point on a number line.
What is a frequency table?Frequency directs to the number of times an event or a value appears. A frequency table exists a table that details items and depict the number of times the items occur.
A line plot takes a frequency table and plots each occurrence of a data point on a number line.
Therefore, the correct answer is option B. frequency table.
To learn more about line plot
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Evaluate the expression for the given value of the variable(s).
-2x² + 8x – 4; x = -3
A dealer buys a wrist watch for $225 and spends $15 on its repairs. If he
sells the same for $300. find his profit percentage.
Answer:
he earns a 18 percent increase
