Answer:
[tex]2403\:\mathrm{m}[/tex]
Step-by-step explanation:
We can form a right triangle and use trigonometry for a right triangle to solve this. The ground distance the plane travels is its displacement in the x-direction. The 2500 meters the plane moves through represents the hypotenuse of right triangle, and the ground distance is the adjacent leg of the [tex]16^{\circ}[/tex] angle. Therefore, we set up the following equation:
[tex]\cos 16^{\circ}=\frac{x}{2500}[/tex], where [tex]x[/tex] is the ground distance.
Solving, we get [tex]x=2500\cdot \cos 16^{\circ} \approx \fbox{$2403\:\mathrm{m}$}[/tex].
tom rides the bus part of the way to school and then he walks the rest pf the way. he walks five minutes longer than he rides. the whole trip takes 27 minutes. for how many minutes does he walk
Answer:
16 minutes
Step-by-step explanation:
Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:
27 - 5 = 22
Now that you have done this, divide 22 by 2:
22/2 = 11
Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:
11 + 5 = 16.
Answer:
Tom walked 16 minutes.
Step-by-step explanation:
If the walk is five minutes longer than the bus ride, we just need to subtract the five minutes, and divide the rest by two. (b) will be the time of the bus ride.
[tex]27=2b+5\\27-5=2b\\22=2b\\22/2=b\\11=b[/tex]
The bus ride would be 11 minutes long, we just add five minutes to that for the time of the walk. (w) will be how long the walk took.
[tex]11+5=w\\16=w[/tex]
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
ASAP like now I need help
HELP TRUE OR FALSE PLSS SO HARD
Answer:
False I think :>
Step-by-step explanation:
Answer:
false
hope this helps you! :)
Simplify the following rational expression.
Answer:
I did Mental Math and Got 6!
5 times -5 +1 is -9 , -9/2 needs a 4 for the denominator to divide I think and so that would make it -18/4, and -18/4 divided by -3/4 is 6/1 which equals 6.
What is the first term in the sequence for which d = -2 and a7 = 3?
a.
-6
c.
15
b.
12
d.
-12
Answer:
15
Step-by-step explanation:
An amount a divided by 17
Please solve for a and b
Answer:
a = 29.445 and b = 17
Step-by-step explanation:
Hope this helped! Please mark me as brainliest if you can!
Are these triangles similar, what is the length of BS
what is 5+1 please hurry
Answer: 6
Step-by-step explanation:
what’s the length of E to D
what’s the length of B to E
Given:
In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.
To find:
(a) The length of ED.
(b) The length of BE.
Solution:
In triangle ABE and ACD,
BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.
[tex]m\angle ABE=m\angle ACD[/tex] (Corresponding angles)
[tex]m\angle BAE=m\angle CAD[/tex] (Common angle)
Now,
[tex]\Delta ABE\sim \Delta ACD[/tex]
Corresponding sides of similar triangles are proportional.
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]
(a)
[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]
[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]
[tex]0.8=\dfrac{26}{AD}[/tex]
Isolate AD.
[tex]0.8AD=26[/tex]
[tex]AD=\dfrac{26}{0.8}[/tex]
[tex]AD=32.5[/tex]
Now,
[tex]AD=AE+ED[/tex]
[tex]32.5=26+ED[/tex]
[tex]32.5-26=ED[/tex]
[tex]6.5=ED[/tex]
Therefore, the length of ED is 6.5.
(b)
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]
[tex]0.8=\dfrac{BE}{18}[/tex]
Multiply both sides by 18.
[tex]14.4=BE[/tex]
Therefore, the length of BE is 14.4.
help!!!
A family of 5 is going to evenly divide 6 funnel cakes at an amusement park. How many funnel cakes does each person get? Choose the correct answer from the choices below.
1 1⁄5 funnel cakes per person
4⁄5 funnel cakes per person
1 2⁄5 funnel cakes per person
1 3⁄5 funnel cakes per person
1 funnel cake per person
if u help thank you very much
Answer:
1 1/5 per person.
Step-by-step explanation:
You have to evenly divide the 6 funnel cakes among 5 people, so the equation you have to use is division.
5/6
= 1 1/5
Lola uses 4 cups of sugar for 3 gallons of lemonade. How many cups of sugar would she need for a
one gallon of lemonade?
Answer:
4=3
x=1
4=3x
4/3=x
1.3=x
pls help me with this question i’ll be giving a brainliest to the person with the correct answer
Answer:
i believe it’s the second and third one, not too sure about the first
Step-by-step explanation:
Find the gcf of X^2-5x
Answer: This answer is 1
Step-by-step explanation: Plzz mark brainliest - Lily ^_^
On a number line point x is located at 2 / 3 on a second number line point y is the same distance from zero as point x what has a numerator of 8 what is the in denominator of y
Answer:
12
Step-by-step explanation:
Given that :
Point X on number line 1 from 0= 2/3
Point Y on number line 2 from 0 = same distance as point X on number line
Point Y has a denominator of 8 ; the numerator is thus;°
Let denominator = d ; Fraction becomes 8/d
Thus `
Point X on 1 = point Y
2/3 = 8/ d
2d = 3 * 8
2d = 24
d = 12
A linear function includes the points (2, 3) and (6, 8). What is the rate of change of the linear function?
Write the answer as an improper fraction (fraction greater than one) in lowest terms.
Answer:
The rate of change of a linear function = 5/4
Step-by-step explanation:
Given that a linear function includes the points (2, 3) and (6, 8).
So we have the points
(2, 3)(6, 8)We know that the rate of change of a function is also termed as the slope of the function.
In other words, the slope of the linear function gives us the rate of change of the linear function.
Thus,
Determining the rate of change or slope between (2, 3) and (6, 8)
(x₁, y₁) = (2, 3) (x₂, y₂) = (6, 8)Using the formula
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [8 - 3 / [6 - 2]
= 5 / 4
Thus, the rate of change of a linear function = 5/4
The distance that an object covered in time was measured and recorded in the table below.True/False: The distance covered is directly proportional to the time.
True
False
ASAP
Answer:
true
Step-by-step explanation:
did the test
Answer: false
Step-by-step explanation:
Does anyone know how to do this
Answer: this was a rotation.
Write the equation of the line in slope-intercept form that passes through
the point (-3, 5) and is parallel to y = -2/3 x
Answer:
y= -2/3x+3
Step-by-step explanation:
Parallel lines have the same slope but different y-intercepts.
y=-2/3x is your original equation
Your slope is still -2/3
y=mx+b
y=-2/3x + b
Substitute the points from the coordinates
5 = -2/3(-3) + b
5 = 2 + b
-2 -2
b=3
Your parallel line equation is: y= -2/3x+3
Have a great day!
wich fraction has the greatest value 5/8 1/6 -1/6 -5/8
pls help I'm on a timer
Once again, I need help
Answer:
40x-24y
Step-by-step explanation:
how u need help, just do
8 times 5x
then 8 times -3y
Answer:
the answer to 3 is the first one, 40x-24y
along with this one please
Express this number in scientific notation.
31 billion
Answer:
3.1 * 10^10
Step-by-step explanation:
we know 1 billion is 1,000,000,000
In scientific notation
1,000,000,000=1 * 10^9
To find the value of 31 Billion
Multiply the value of one billion for 31
so
31 * 1 * 10^9 = 31 * 10^9
= 3.1 * 10^10
What are the lengths of side AB and side BC?
Answer: AB=20, BC=14
Step-by-step explanation:
set AB together with the side congruent to it (which is DC)
3x-7=x+11
subtract x and add 7 to both sides
2x=18
divide both sides by 2
x=9
plug 9 in for AB.
3(9)-7
27-7=20.
now do the same for BC
Answer:
AB = 20
BC = 14
Step-by-step explanation:
ABCD is a parallelogram
Opposite sides of a parallelogram are equal.
Therefore,
AB = DC
3x - 7 = x + 11
3x - x = 11 + 7
2x = 18
x = 18/2
x = 9
AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20
7y - 7 = 3y + 5
7y - 3y = 7 + 5
4y = 12
y = 12/4
y = 3
BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14
Which statements about the diagram are correct? Check all that apply.
BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.
Answer:
(C)DC = 6 StartRoot 3 EndRoot in.
(D)AC = 12 StartRoot 3 EndRoot in.
Step-by-step explanation:
A sweater that costs $32 is being marked down 30%. What is the new price of sweater?
Answer: try thease to see if they help !
Step-by-step explanation:
Take the pre-sale price.
Divide the original price by 100 and multiply it by 30.
Take this new number away from the original one.
The new number is your discounted value.
5. Find the value of x using your 45°-45°-90° rules.
10
X
45°
y
Your answer
Answer:
Im not sure but i think x is 5
Step-by-step explanation:
no explanation here
Katie made 9 quarts of punch for a birthday party, how many ounces of punch did she make?
Answer:
288
Step-by-step explanation:
plz brainliest
..please help someone, im begging you. theres two screenshots i took bc its either a, b, c, or d
Answer:
It's C
Step-by-step explanation: