===========================================================
Explanation:
The problem mentions "see the figure" but the figure above the text does not match the problem itself. I'm assuming the figure is shown below the given text, which unfortunately, is cut off from the screenshot.
The good news is that I think I can recreate what's being described. See the image below.
The things to focus on are the left-most and right-most triangles. We'll use the tangent ratio to help determine x and y. Afterward, compute x+y to get the total distance between the buildings.
First we have,
tan(angle) = opposite/adjacent
tan(32) = 500/x
x*tan(32) = 500
x = 500/tan(32)
x = 800.1673
Using similar steps, you should find that,
y = 500/tan(23)
y = 1177.9262
Therefore,
x+y = 800.1673+1177.9262
x+y = 1978.0935 feet is the approximate distance between Soldier Field and Adler Planetarium.
This is of course assuming that the diagram shown below matches with what your textbook has. Round the answer however you need.
PLEASE HELP!!
Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.
Enter the answer as an equation.
Answer:
The axis of symmetry of this parabola will be the line x=−b2a .
Step-by-step explanation:
Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Answer:
2
Step-by-step explanation:
How far is it from the gift shop to the bank?
Bank is -3,-2
Answer:
-1 I apologize if I'm wrong
Answer:
-5 steps away
explanation:
Add the x and y axis and then count how many it resulted in.
I'm not sure where the gift shop was, but since that wasn't included I had to assume it was at (0, 0). Let me know so I can change this if I need to. Thank you.
leg a is 15. leg b is 8, what is c?
Answer:
a²+b²=c² so you take 15² =225. then you take 8²=64 then you add 225+64=289. Then you find the √289 That equals 17
C=17
a Juan is thinking of a number between 25 and 30. When you count by 4's you say the number. What number is Juan thinking of?
Answer:
28
Step-by-step explanation:
4,8,12,16,20,24,28. +4 every time
Answer:
28
Step-by-step explanation:
multiples of 4: 4,8,12,16,24,28
There are 250 students in the 6th grade. 45 percent of the students eat lunch 4th period. How many students eat lunch 4th period?
Answer
About 112 students eat lunch 4th period
Step-by-step explanation:
250*.45 = 113
112.5 rounded is 112 because there can not be any half students
Divide
(3x⁴ +7x³-20x²-30x+25) ÷ (x²+x−6)
Answer:
[tex]3x { }^{2} + 4x - 6 - \ \frac{11}{x {}^{2} + x - 6 } [/tex]
Which answers describe the shape below? Check all that apply. A. Rectangle B. Quadrilateral I c. Parallelogram D. Square E. Trapezoid F. Rhombus
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.45. See the figure below.
If the monthly cost for 13 HCF is $46.33, what is the monthly cost for 17 HCF?
The monthly cost for 17 hundred of cubic feet is $52.13.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the bill paid for x HCF of water.
The slope is 1.45, hence m = 1.45.
The monthly cost for 13 HCF is $46.33, hence:
46.33 = 1.45(13) + b
b = 27.48
y = 1.45x + 27.48
For 17 HCF:
y = 1.45(17) + 27.48 = 52.13
The monthly cost for 17 hundred of cubic feet is $52.13.
Find out more on linear equation at: https://brainly.com/question/14323743
a. The number 6 is 7 units away from 13 on a number line.
Which other integer is 7 units away from 6 on a
number line?
B.which integers are 10 units away from 5 on a number line?
C.Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?
Please answer thiss, thank you guys so much!!!!!!! :)
Answer:
a. -1
Subtracting 6-7 would give you -1. Negative 1 is 7 units from the number 6.
b. -5 and 15
Adding and subtracting 10 from 5 would give you -5 and 15.
c. -3
Starting at -7, and going to the right 4 means that Darcy moved +4. -7+4 would give you negative 3.
Answer:
[A] - 1
[B] - 5
[C] -3
Step-by-step explanation:
[A] The number 6 is 7 units away from 13 on a number line. Which other integer is 7 units away from 6 on a number line?
Solve:
6+7=13
6-7=-1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[B] which integers are 10 units away from 5 on a number line?
Solve:
5-10=-5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[C] Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?
Solve:
-7+4=-3
Negative + Positive =[ Negative]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~lenvy~
If x^2+y^2=0, what is the value of 2x-7y?
Answer:
Answer will be zero , since the value of x and y are zero and any value multiply with zero will be zero only .
you have a credit card that has a balance of $3589.90 if you have a good credit rating how much must you pay at the end of the month to get the balance to acceptable debt ratio percentage?
Answer:
$1107.55
Step-by-step explanation:
3,589.90 x .0590/12 = $17.65
3,589.90 + 17.65 =3,607.55
3,607.55 - 2,500 = $1,107.55
6. Find the value of each missing variable.
Answer:
x = 110
y = 102
z = 82
Step-by-step explanation:
Angles that create a line are equal to 180
x + 70 = 180
x = 110
y + 78 = 180
y = 102
A quadrilateral's angles add up to 360
110 + 78 + 90 + z = 360
278 + z = 360
z = 82
1. What is the area of this shape?
Answer: 80cm
Step-by-step explanation:
i know
Answer:
80cm
Step-by-step explanation:
it may be right ......
80 points. Please answer!
Answer:
a cube that is 1 yard long, 1 yard wide, and 1 yard high
Step-by-step explanation:
The dimensions for a unit cube are:
[tex]1\times1\times1[/tex]
Please note that the units for each side MUST be the same (or if they're different, then the lengths have to be equivalent).
Looking at the answer choices, we can see that the last answer choice is a 1 yd by 1 yd by 1 yd cube, therefore it is a unit cube.
Answer:
I guess 4, because it has only 1 unit in it, and not 9 inches^3.
Step-by-step explanation:
Hope this helps.
The angle measures of a triangle are shown in the diagram.
50
(2x)
(3x – 10)
What is the value of x?
Answer:
28
Step-by-step explanation:
2*28 = 56
3*28 = 84 -10 = 74
74+56+50 = 180
180 degrees in a triangle
Please help! My friend is doing missing assignments <3
Answer:
4 1/4 in.
Step-by-step explanation:
Highest record: 24 ft. 6 3/4 in.
John's best long jump: 24 ft. 2 1/2 in.
convert 1/2 to have denominator of 4...
1/2 x 2/2=2/4
subtract from highest record...
3/4-2/4=1/4
add to whole numbers...
6-2=4
4+1/4= 4 1/4
Construct the truth table for:
p → (q ∧ r)
The choices below represent the final column for the truth table. Identify the correct answer.
You should know that
p ⇒ q ≡ ¬p ∨ q
so that
p ⇒ (q ∧ r) ≡ ¬p ∨ (q ∧ r)
Then making the truth table is simple:
[tex]\begin{array}{cccccc} p & q & r & \neg p & q \land r & p \implies (q\land r) \\ T & T & T & F & T & T \\ T & T & F & F & F & F \\ T & F & T & F & F & F \\ T & F & F & F & F & F \\ F & T & T & T & T & T \\ F & T & F & T & F & T \\ F & F & T & T & F & T \\ F & F & F & T & F & T \end{array}[/tex]
I need help u suck at word problems
I would solve this by calculating the percentage of dislikes that makes up to this amount of likes:
First one, "The True Science of Parallel Universes" would be:
5/300)*100 = 1.66
Second one, "did the Past Really Happen?" would be:
7/400)*100 = 1.75
The first one has less dislikes compared to likes. So "The True Science of Parallel Universes" is the video that is better liked
Jane has a pile of 6 books. Together, the books weigh 4 pounds. If the books aresimilar in weight, about how much does each book weigh?
Answer:
this is just division
6/4=1/2
each book weighs 1/2
Hope This Helps!!!
Answer:
the answer is 1.5 pounds
Step-by-step explanation:
just took the the test
I need help figuring this out- ASAP. pls
t is the total increase of the followers made up --> t = '____'
3 followers for every 'h' (hashtag)--> '3h' is the increase of followers for every hastag
5 followers for every 'i' (influencer)--> '5i' is the increase of followers for every influence
Now lets put it together
t = 3h + 5i ; fourth choice
Hope it helps!
(System of inequality word problem.)
Frankie is saving his money to buy the new Nintendo Switch. The switch is on sale for $300. He already has $215 saved up and his mother tells him she will pay him $7 for each extra chore he completes around the house. What is the minimum number of chores he must complete to have enough money for the Switch?
A. 12 chores
B. 14 chores
C. 13 chores
D. 11 chores
Answer:
C
Step-by-step explanation:
Because nintendo price=300$
He has 215$
1 chore he does=7$
Meaning if he did 10 chores he get's 70$ added so he did 10 now he has 285$ If he does 2 more chores that is 14$ more added.
So he now has 299$ so he done 12 chores and he needs 1 more dollar so if he did 1 more he gets 306$ and that was the least amount of chores he could do if he wanted 300$
And there's your answer
Hope this helps have a awesome day:)
You have 3 red, 4 blue and 5 yellow marbles. What is the probability of not picking blue?
This is because there are 3 red + 5 yellow = 8 non-blue marbles out of 3+4+5 = 12 total. This leads to the fraction 8/12 and it reduces to 2/3.
Answer:
cause it's blue it might make u sad
Step-by-step explanation:
ASAP!!!!!! Solve for X and Y by elimination method 2x+3y=7
Answer:
first divide by 2x on both sides then times both by 7 then divide by 2 that will get u ur x at least
Step-by-step explanation:
Answer:
Slope = -1.333/2.000 = -0.667
x-intercept = 7/2 = 3.50000
y-intercept = 7/3 = 2.33333
Step-by-step explanation:
I guess if right please mark as brainlest?
1+1
keep it simple, I need help to pass the sat. this question is in my practice and I need help
Answer:
11
Step-by-step explanation:
(if youre fr in a sat HOW- is 2)
Marie has $60,000 in a savings account that earns 7% interest per year. How much will she have in 4 months?
Answer:
21,400
Solving steps:
Since, Marie has $60,000 in a savings account that earns 7% interest per year.
Find: How much will she have in 4 months.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: solution[/tex]
Step 1: Find the money for the 7% rate
=> [tex] 60000 \times \frac{7}{100} [/tex]
=> [tex] \frac{60000}{1} \times \frac{7}{100} [/tex]
cancel the two zeros of 60,000 and 100
=> 600 × 7
=> 4,200
Add 4,200 to 60,000
=> 64,200
per year = 64,200
Now, divide 64,200 by 12
since 12 months to make one year
=> 64,200 ÷ 12
=> 5,350
now multiply it by 4 months she gets 5350 per month
=> 21,400
Determine the solution to the given equation.
4 + 3y = 6y – 5
A.
y = 3
B.
y = –3
C.
y = 1
D.
y = –1
Answer:
[tex]\huge\boxed{\sf y = 3}[/tex]
Step-by-step explanation:
Given Equation:
4 + 3y = 6y - 5
Add 5 to both sides
4 + 5 + 3y = 6y
9 + 3y = 6y
Subtract 3y to both sides
9 = 6y - 3y
9 = 3y
Divide 3 to both sides
3 = y
OR
y = 3
[tex]\rule[225]{225}{2}[/tex]
Answer:
A
Step-by-step explanation:
y=3
Order the steps to factor the quadratic trinomial completely.
Answer:
1, 4, 3, 5, 6
Step-by-step explanation:
5(5x² - 9x) = 45x + 40 ← distribute parenthesis on left side
25x² - 45x = 45x + 40 ← subtract 45x + 40 from both sides
25x² - 90x - 40 = 0 ← factor out 5 from each term
5(5x² - 18x - 8) = 0
5(x(5x + 2) - 4(5x + 2))
5(x - 4)(5x + 2)
Answer:
The order is: 1, 4, 3, 5, 6
Step-by-step explanation:
5(5x² - 9x) = 45x + 40
25x² - 45x = 45x + 40
25x² - 90x - 40 = 0
5(5x² - 18x - 8) = 0
5(x(5x + 2) - 4(5x + 2)
5(x - 4)(5x + 2)
The order is: 1, 4, 3, 5, 6
PLEASE HELP ME
IF GIVE ME REASON HOW YOU GOT THE ANSWER I WILL MARK BRAINLIEST!
Explanation:
The key thing to focus on is the phrasing "starting at the age of 8"
Specifically, your teacher wants the starting height when Mia was 8 years old. That height being 52 inches.
The 7 inches refers to how much she had grown over the 2 years, which is part of the rate of change (and will be part of the slope).
Side note: 52 inches = 4 ft, 4 inches
I WILL GIVE BRAINLIEST Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166. Which option gives the best estimate for the price after the discount?
A.$120
B.$85
C.$70
Answer:
the answer is A
Step-by-step explanation: it is A because 45 percent of $166 is $47.7 and if you subtract it from 166 it turns out to be $118.3
what is 23/100 plus 7/10
Answer:
93/100
Step-by-step explanation:
You have to make the denominator the same so
7x10=70 and 10x10=100. Then you add 23+70 which is 93 so the answer is 93/100