Answer:
50 km/hr
Step-by-step explanation:
OK, this is how I solved this problem.
Let r = original rate of speed
t = time after the stop to finish the trip
Time for trip without stopping is 225/r
(1) 1.5 + .5 + t = 225/r This is a time equation
(2) 1.5r + t(r + 10) = 225 This is a distance equation
(1) 2 + t = 225/r (2) 1.5r + tr + 10t = 225
2r + tr = 225
tr = 225 - 2r 1.5r + 225 - 2r + 10(225/r - 2) = 225
t = 225/r - 2
-.5r + 225 + 2250/r - 20 = 225
-5r + 2250 + 22500/r - 200 = 2250
-5r^2 + 2250r + 22500 - 200r = 2250r
5r^2 + 200r - 22500 = 0
5(r^ + 40r - 4500) = 0
5(r - 50)(r + 90) = 0
r = 50 or r = -90
The rate cannot be negative, so the original speed 50 km/hr
This not an easy problem and I hope you were able to follow my work
Answer:50km hope that helped pls mark me brainliest :))
what is the slope of a line parallel to the line whose equation is y=2/3x+7 fully simplify your answer
Answer:
2/3
Step-by-step explanation:
When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.
So the slope of the second line is going to be the same as the first line: 2/3
Can anyone help me with this math equation pleasee?
Answer:
9/20
Step-by-step explanation:
45/100.
5 is a common factor so simplified = 9/20
To get the paint color moss green, 2 parts
violet paint is mixed with 3 parts yellow
paint. How many parts yellow paint
should be mixed with 5 parts violet
paint to make moss green paint?
Zane and his favorite geometry student, , have just set sail for a day of fun on lake Erie. A spring squall quickly forms and catches you off guard, leaving you adrift on the lake. Zane suddenly discovers he has an irrational fear of water and is reduced to hugging the mast. You hear Sherman barking from the top of a lighthouse to help guide you to shore. In order to save Zane and yourself, you must calculate how far away you are from this lighthouse. Using a range finder, you expertly measure the distance from the sailboat to the top of the lighthouse at 350 yards.
angle B is 40 degrees.
(a) Based on the above information, find the distance across the water from the sailboat to the island
where the lighthouse is standing. You can only use trigonometry to solve. You must show all work for
credit. Round your answer to the nearest whole number if needed.
(b)Calculate the height of the lighthouse. You can only use trigonometry or Pythagorean Theorem to
solve.
Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.
_________________________________________________________
According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).
Θ = 40hyoptenuse = 350adjacent = xcosine40 = x/350
[multiply both sides by 350]
350 · cosine40 = x
[put calculator in degree mode]
x ≈ 268 yards
So, the distance across the water from sailboat to the island is 268 yards.
_________________________________________________________
Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).
a^2 + b^2 = c^2
a = ? (opposite or height)b = 268 (adjacent)c = 350 (hypotenuse)a^2 + (268)^2 = (350)^2
a^2 + 71824 = 122500
a^2 = 122500 - 71824
a^2 = 50676
[square both sides]
[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{50676}[/tex]
a = [tex]\sqrt{50676}[/tex]
a ≈ 225
So, the height, opposite, of the lighthouse is 225 yards.
_________________________________________________________
ANSWER: a) 268 yards b) 225 yardsWhich expression has the greatest value?
what is the equation that the line goes through (1,-2) and is parallel to y=3x-3?
A. y-1=3(x+2)
B. y+2= -1/3(x-1)
C. y=3x+2
D. y+2=3(x-1)
Answer:
Step-by-step explanation:
Parallel lines have the same slope.
Point-slope equation for line of slope 3 that passes through (1,-2):
y+2 = 3(x-1)
Find the surface area of a pringles can that has a radius of 1.6 inches and a height of 9.8 inches. (Find the WHOLE surface area, including the top cover.
Answer:
10.55
Step-by-step explanation:
HELLPPP! EASY QUESTION
- no links pls
Answer:
B
Step-by-step explanation:
it is a function but not a line
Answer:
b) a nonlinear function
Step-by-step explanation:
it's exponential so it's a nonlinear function.
i hope this is right. p.s. if it helps i really need brainliest :)
If a polynomial has two factors: It will either have two zeros or the same zero twice.
True or false
pls answer asap no wrong answers pls
Answer:
401.92
Step-by-step explanation:
The formula used the calculate the volume of a cylinder is
πr^2h
π= 3.14
H= 8
r= 4
Volume= 3.14 × 4^2 × 8
= 3.14 × 16×8
= 401.92
Hence the volume is 401.92
Which expression is equivalent to 12(2x - 3y + 4)?
Answer:
24x - 36y + 48
Step-by-step explanation:
12 (2x - 3y + 4)
Distribute the term outside of the parenthesis, multiply each term inside the parenthesis by the term outside of the parenthesis.
(12)(2x) - (12)(3y) + (12)(4)
24x - 36y + 48
Answer:
Step-by-step explanation:
Where are the expressions?
Can some one plz help i really dont wna failll plzzz
LINKS WILL BE REPORTED
Convert the following quadratic equation to standard form:
y= -2(x+3)^2+1
Answer: -2x^2-12x-17
Step-by-step explanation:
-2(x+3)^2+1 Original equation
-2(x^2+3x+3x+9)+1 factor (x+3)(x+3)
-2x^2-12x-18+1 Multiply the factored part by -2
-2x^2-12x-17 Combine like terms
Find the measure of the interior angles.
When he was measuring herbs on his balance scale, Neville placed a 1/2 gram weight, then a 1/5 gram weight, and finally a 1/8 gram weight before the scale balanced. How much did his herbs weigh?
Answer: [tex]\dfrac{33}{40}\ gm[/tex]
Step-by-step explanation:
Given
Neville place three weights in the sequence
[tex]\dfrac{1}{2}\ gm,\dfrac{1}{5}\ gm,\dfrac{1}{8}\ gm[/tex]
The total weight of the three weights is
[tex]\Rightarrow \dfrac{1}{2}+\dfrac{1}{5}+\dfrac{1}{8}=\dfrac{20+8+5}{40}\\\\\Rightarrow \dfrac{33}{40}\ gm[/tex]
Thus, herbs weigh [tex]\frac{33}{40}\ gm[/tex]
Help me pls please pretty please help me
Answer:
[tex]3\frac{1}{4}[/tex] inches
Step-by-step explanation:
Height of the tallest conifer = [tex]9\frac{1}{2}[/tex] inches
Height of the shortest conifer = 6 + measure of one segment on the number line
Measure of one segment on the number line = [tex]\frac{6\frac{1}{2}-6}{2}[/tex]
= [tex]\frac{\frac{1}{2}}{2}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, height of the shortest conifer = 6 + [tex]\frac{1}{4}[/tex]
= [tex]6\frac{1}{4}[/tex]
Difference in tallest and shortest conifer = [tex]9\frac{1}{2}- 6\frac{1}{4}[/tex]
= (9 - 6) + [tex](\frac{1}{2}- \frac{1}{4})[/tex]
= 3 + [tex]\frac{1}{4}[/tex]
= [tex]3\frac{1}{4}[/tex] inches
Use
I
=
P
R
T
I=PRT to find the total amount in the savings account. Type in "money form".
$350.00 at 6.2% for 2 years
Answer:
43.4
Step-by-step explanation:
Which is the angle of depression from the top of the waterfall to Kelley? ∠5 ∠8 ∠7 ∠6
Answer: 6
Step-by-step explanation:
Answer:
∠6
Step-by-step explanation:
A right circular cylinder has a base radius of 6 centimeters and a height of 12 centimeters. What is the volume of this cylinder? A. B. C. D.
Answer: [tex]432\pi \text{ cubic centimeters}[/tex] or [tex]1356.48\text{cubic centimeters}[/tex]
Step-by-step explanation:
Volume of right circular cylinder = [tex]\pi r^2 h[/tex]
Given: Radius = 6 centimeters
Height = 12 centimeters
Then, the volume of this cylinder = [tex]\pi (6)^2 \times (12)= 432\pi \text{ cubic centimeters}[/tex]
Hence, the volume of this cylinder = [tex]432\pi \text{ cubic centimeters}[/tex]
At [tex]\pi=3.14[/tex]
The volume of this cylinder[tex]=432\times3.14=1356.48\text{cubic centimeters}[/tex]
Evaluate (x^3-x^2-3x+8)+(2x^3+3x^2+x-7)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 3x^3+2x^2-2x+1
Explanation:
x^3 + 2x^3 - x^2 + 3x^2 -3x + x + 8 - 7 = 3x^3+2x^2-2x+1
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Help me please I suck at this
Answer:
Radius is 4.2
Diameter is 8.4
Step-by-step explanation:
diameterd=2r
d=2×4.2
d=8.4
Plz mark as brainllest
Answer:
The answer for radius is 4.2 cm. The answer for diameter is 8.4 cm.
Step-by-step explanation:
If the line cuts halfway through the middle it is a radius, as you can see there. It says 4.2 cm, so that's your radius. If the line is straight through the circle and not cut in half then it is a diameter. The radius is half of the diameter. So if you add 4.2 or multiply 4.2x2 then you get 8.4 which is your diameter.
after allowing 15% discount on the price of an article and 13% bat was live and the remaining amount in the price of article becomes 13447 find the market price of an article
Answer:
14000
Explaination:
spwithvat = sp without vat + 13% of sp without vat
let, sp without vat be x.
sp with vat= x + 13% of x.
or, 13447 = x + 13/100 × x
or, 1344700 = 113x
or, x= 1344700/113
x = 11900
Let, mp be y.
sp with vat = mp - 15% of mp
or, 11900 = y - 15/100 × y
or, 1190000 = 85y
or, y= 1190000/85
y= 14000
Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains.
If he has 2 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
Answer:
20
Step-by-step explanation:
dekameter=10 meters
dekameter*2
20 meters
20/20=1
20 meter long pieces
Show that <1+<2+<3=180, if line l and m are parallels cut by two transversals.
Step-by-step explanation:
Angle 1 2 and 3 are angles that are in a triangle and all the angles in a triangle always add up to 180
so <1 +<2 +<3=180
Hope that helps :)
Can someone help me thanks you
Answer:
Step-by-step explanation:
M = sum of the terms / number of the terms
1. Mean = 145/5 = 29
Option A is the correct answer
2. Mean = 35 /5 = 7
Option B is the correct answer
Answer:
1. 29 (A) 2. 7 (B)
Step-by-step explanation:
1. 2+57+38+42+6 = 145
145/5 = 29
2. 4+9+7+10+5 = 35
35/5 = 7
7th grade math help me pleaseee
Step-by-step explanation:
1. -6u= -29-7
-6u÷-6= -36÷-6
u= 6
2. 6m= -23-1
6m÷6= -24÷6
m=-4
3. 4d=37-5
4d÷4=32÷4
d=8
Answer:
4. -6u+7=-29
-6u=-29-7
-6u=-36
-6u=-36
(divide both sides by-6 )
-6u/-6=-36/-6
u=6.
5. 6m+1=-23
6m=-23-1
6m=-24
divide-24 by 6
m=-4
6. 5+4d=37
4d=37-5
4d=32
divide by 4
d=8
please answer(46 points).Question=9a+1≥19
WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
In the diagram below, Δ DEF is reflected across the y‐axis to create Δ D′ E′ F′. Which of the following is true?
A. DE|| D'E'
B. EE'||FF'
C. EF ⊥ E'F'
D. DE ⊥ D'E'
IF YOU PUT RANDOM NONSENSE ANSWERS OR A LINK I WILL REPORT YOU AND EMAIL BRAINLY.
Answer:
B
Step-by-step explanation:
When flipping, the y-levels of E' and F' do not change, meaning that as they are transferred across the y-axis, they keep their parallel to the original points.
The central angle of arc ST is 70 degrees. What is the measure of an inscribed
angle whose endpoints are points S and T?
Answer:
35
Step-by-step explanation:
The measure of an inscribed angle whose endpoints are points S and T will be 35°.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The central angle is double the angle at the periphery that was subtended by the same chords.
The central angle of arc ST is 70°.
The measure of an inscribed angle whose endpoints are points S and T is given by the half of the central angle of arc ST. Then we have
Inscribed angle = 70° / 2
Inscribed angle = 35°
The measure of an inscribed angle whose endpoints are points S and T will be 35°.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
Reggie pays $982.27 each month to rent an apartment. How much will it cost him to rent the apartment for one year?
Answer:
11787.24
Step-by-step explanation: If it costs 982.27 each month, multiply that number times 12 to equal a full year to get your answer.