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].
What is the slope and y-intercept of the equation: y=1/5x-1
Answer:
The slope is 1/5= rise/run
and y-intercepts is -1
Step-by-step
HELP ASAP!! What is the midpoint of the segment shown below?
(-1, 5) and (-6, -2)
Answer:
D) (-7/2 , 3/2)
Step-by-step explanation:
(x1+x2/2), (y1+y2/2)
(-6-1/2),(5-2/2)
(-7/2),(3/2)
find the total surface area of the triangular prism
Answer:
[tex]1,008\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:
Area of both triangles:
[tex]2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}[/tex]
Area of all three rectangles:
[tex]15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}[/tex]
Therefore, the total surface area of this figure is:
[tex]840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark[/tex]
13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS
Answer:
9) 30 years
10) line passing through points AB and BC are perpendicular
Step-by-step explanation:
9) p = 5t + 150
Current pop. (in thousands) is 150
Double pop. (in thousands) is 300
300 = 5t + 150
150 = 5t
t = 30
10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal
slope of AB = 3
slope of BC = -1/3
can anyone help me with it?
Mr. Garcia has been asked to give 6 desks to Mrs. Johnson. He needs to keep at least 17 desks for his students. He created a model to find x, the number of desks he must have in order to give 6 desks to Mrs. Johnson. Which inequality represents the model for this situation?
Answer:
The inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
Step-by-step explanation:
Let Mr. Garcia has [tex]x[/tex] number of desks initially.
He has been asked to give [tex]6[/tex] desks to Mrs. Johnson.
Also, he needs to keep at least [tex]17[/tex] desks for his students.
So, after giving [tex]6[/tex] desks to Mrs. Johnson from the total number of desks he has, he must have at least [tex]17[/tex] desks for his students.
Therefore, the inequality is: [tex]x-6\geq 17[/tex].
Hence, the inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -3x-8
Step-by-step explanation:
Could someone help me with this I’m kinda stressed out ill give out brainliest please don’t answer if you don’t know thank you
V/7=5
Solve for v
(I need help right now)
Answer:
V=35
Step-by-step explanation:
[tex]\frac{V}{7} =5[/tex]
Start by multiplying by 7 on both sides:
V=35
Answer:
35
Step-by-step explanation:
5 times 7 is 35 so v divided by 7 is 5
00:00
Mr. Herr pays $9 for 2.5 pounds of chicken at the grocery store. What is the cost per pound?
Answer:
3$
Step-by-step explanation:
Please help!!! thank you so so much!!! will give brainliest!
Answer:
A
HOPE THIS HELPS YOU
GIVE THANKS
MARK AS BRAINLIEST
Michael has $10 to put in a savings account . He has two options for a saving account : Option 1 will add $ 100 to his account each week . - Option 2 will double the amount in his account at the end of each week . a) Write a function in terms of x to model each option of savings . b) Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. Determine which option (s) will enable him to reach his goal. Justify your answer.
Answer:
Option 1:
He starts with $10, and for each week, we add $100
Then his balance as a function of weeks will be:
f(w) = $10 + $100*w
option 2.
Again, we start with $10, and for each week that passes this is doubled, then the equation will be:
g(w) = $10*(2)^w
Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.
option 1:
f(7) = $10 + $100*7 = $710
With option 1 he will have enough
option 2:
g(7) = $10*(2)^7 = $1280
Again, he will have more than $700 in week 7, and we can clearly see that this option is better.
Find the range of this equation
Answer:
b number
Step-by-step explanation:
Because range is the number of the y component
A. 2
B. 3
C. 4
D. 6
i need help plzz
Answer:
4
Step-by-step explanation:
Okay, so the first step is to divide 30 and 5. You should get 6.
Then all you have to do is divide 24 and 6. You should get 4.
The spinner below is spun twice .what is the probability of the arrow landing on a white space and then a space with star
Answer:
I believe it would be 75% or 3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
The student council at Greenwood High School is selling T-shirts for $20 apiece. Their costs are $5 per shirt, plus $45 for supplies. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts do they need to sell to break even? How much in costs will they have incurred at that point?
Answer: 3 shirts
Step-by-step explanation:
so they are 20 a piece
5+45=50
they need to raise $50
1= 20
2=40
3=60
Answer:
Step-by-step explanation:
Help please! I’m bad with geometry.
Answer:
Step-by-step explanation:
1). Figure given on the top shows two lines with red marks (on segments UT and SR) are equal in measure.
Therefore, UT ≅ RS
2). In the second figure, Two angles have been marked with red arcs are equal in measure.
Therefore, ∠C ≅ ∠D
3). Angle marked with red square is a right triangle.
∠D = 90°
#21 pls help!!!!! would greatly be appreciated
Please help!!!!!!!!!!!!!!!
Answer:
The slope of line 1 is: 2
Does line one have a negative of positive slope: Positive
The slope of line 2 is: -1/2
Does line two have a negative of positive slope: Negative
1.
The pair of figures is similar. Find x.Round to the nearest tenth if necessary.
A. 2.7 ft
B. 4.1 ft
C. 2.2 ft
D. 0.3 ft
7/8y-6=8
solve for y
Answer:
y=55/64
Step-by-step explanation:7
8y−6
=8
Step 1: Multiply both sides by 8y-6.
7=64y−48
64y−48=7(Flip the equation)
64y−48+48=7+48(Add 48 to both sides)
64y=55
64y
64
=
55
64
(Divide both sides by 64)
y=
55
64
Check answers. (Plug them in to make sure they work.)
y=
55
64
(Works in original equation)
Answer:
y=
55
64
A paint that contains 26 % green dye is mixed with a paint that contains 14 % green dye. How many gallons of each must be used to make 100 gal of paint that is 22 % green dye?
Answer:
66and2/3 gallons of 26% and 33and1/3 of 14%
Step-by-step explanation:
x is the gallons of 26% green dye and y is the gallons of tve 14% one. we know that the totall gallons of dye in the ens are 100=>x+y=100=>x=100-y. 26%*x+14%*y=22%*100
13/50*x+7/50*(100-x)=22 6/50x+14=22 6×=400 x=200/3=66and2/3 =>y=100-200/3=100/3=33and1/3
x²-x-42
x2 - 49
x² + 66
x2 + 3x - 28
(Simplify the numerator. The denominator may be written in simplest form or completely factored form.)
Answer:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. ( x − 7 ) ( x + 6 ) ( x + 7 ) ( x 2+ 66 ) ( x − 4 )
Step-by-step explanation:
PLEASE PLEASE HELP ME
Answer:
length = 3√5
distance = √13
Step-by-step explanation:
length = √[(lenght(1,-2)to(4,-2))² + (length(4,-2)to(4,4))²]
length = √ 3²+6²
=√9+36
=√45=3√5
distance
d = √(x1-x2)²+(y1-y2)²
d= √(5-3)² + (-2-1)²
d=√2²+(-3)²
d=√4+9
d=√13
Solve equation 3x^2-4x=7 by completing square
Step-by-step explanation:
3x2-4x-7=0(3x-7)(x+1)=03x-7=0 and x+1=0x=7/3 and x=-1The value of n is a distance of 1.5 units from -2 on a number line. Click on the number line to show the possible values of n. -5 - 4 -3 -2 -1 0 1 2 3 4 5
Answer:
Its Going to be -4
Step-by-step explanation:
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?
Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Answer:
Step-by-step explanation:
the answer is 24:8
Distribute -5(m-2)
Help
Answer:
(-5*m)-(-5*2)
Step-by-step explanation:
Here, we want to use the distributivity property to evaluate the expression
We have this as;
(-5*m)-(-5*2)
Need help on these two thanks
Answer:
#1 is meter or D
#2 is also D
Step-by-step explanation:
Factor 12a - 15b + 6
Answer:
Hi! The correct answer is 3(4a-5b+2)!
Step-by-step explanation:
~Factor 3 out of 12a-15b+6~
Answer:
3(4a- 5b + 2)
Step-by-step explanation:
Hope this helped!!! :)