Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]
Can someone please answer this question. Identify the vocabulary word that matches the picture.
cghmfhjvghvjvhjvhjvgnmvgvhvgmvgnmvg i need answer
Choose the correct written expression for: (9 x 4) divided by 6.
Options:
he quotient of 9 and 4 times 6
divided by the product of 9 and 4
the product of 9 and 4 divided by 6
9 times 4 divided by 6
Answer:
the product of 9 and 4 divided by 6
Find the x - and y - intercepts of the graph of the linear equation-4x+8y=-16
Answer:
y-intercept: (0, -2)
x-intercept: (4, 0)
Step-by-step explanation:
The x intercept occurs when y = 0, so you can substitute 0 in for y and solve for x as shown:
-4x+8y=-16
-4x+8(0)=-16
-4x+0=-16
-4x=-16
x=4 ---------- format correctly in (x, y) : (4, 0)
The y intercept occurs when x = 0, so you can substitute 0 in for x and solve for y as shown:
-4x+8y=-16
-4(0)+8y=-16
0+8y=-16
8y=-16
y=-2 ---------- format correctly in (x, y) : (0, -2)
Can you please answer ASAP I need the answer
Answer:
I think x=8
Step-by-step explanation:
5(x+7)+15=90
90 because it's a 90 degree angle
5x+35+15=90
5x+50=90
5x=40
x=8
BWI Airport is building a new parking lot. The parking lot will need to fit 1350 cars. A typical row of parking spaces has 30 spaces. How many rows have to be built to hold 1350 cars? Rather than build rows that fit 30 cars, the airport is requesting rows that fit 50 cars. How many fewer rows are needed if the rows fit 50 card?
Answer:
45 rows will need to be built to hold 1350 cars. (for 30 spaces a row)
19 fewer rows are needed if the rows fit 50 cars (for the 50 spaces a row)
Step-by-step explanation:
for the first question divide 1350 by 30 and the second divide 1350 by 50, good luck!
Find the area of the rectangle. The length is 1.25 and the width is 0.8 inches
3y-4=12-y and also show the step please
Answer:
y=4
Step-by-step explanation:
look at the picture. :) hope this helps
Answer:
y = 4
Step-by-step explanation:
Lets begin by combining like terms, starting with y. We can take the -y on the right, and bring it to the left side, adding it with the 3y already there. We are now at.
4y - 4 = 12
We now can take the -4 from the left and bring it to the right as +4.
4y = 16
We can now divide 16 by 4, getting 4 as the final answer.
Given: Lines y and z are parallel, and ABC forms a triangle. Prove: m∠5 + m∠2 + m∠6 = 180° Lines y and z are parallel. Triangle A B C sits between the 2 lines with point A on line y and points C and B on line z. Angle C A B is 2. Its exterior angle to the left is 1 and its exterior angle to the right is 3. Angle A B C is 6 and its exterior angle to the right is 7. Angle B C A is 5 and its exterior angle to the left is 4. Statements Reasons 1. ABC is a triangle 1. given 2. y ∥ z 2. given 3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 3. ? 4. m∠1 = m∠5; m∠3 = m∠6 4. def. ≅ 5. m∠1 + m∠2 + m∠3 = m∠LAM 5. ∠ addition postulate 6. m∠1 + m∠2 + m∠3 = 180° 6. def. Straight angle 7. m∠5 + m∠2 + m∠6 = 180° 7. substitution Which could be the missing reason in Step 3? alternate interior angles are congruent alternate exterior angles are congruent vertical angles are congruent corresponding angles are congruent
Answer:
The correct option is;
Alternate interior angles
Step-by-step explanation:
The m∠5 + m∠2 + m∠6 = 180° proof is given as follows;
Statement [tex]{}[/tex] Reason
1. ABC is a triangle [tex]{}[/tex] Given
2. y ║ z [tex]{}[/tex] Given
3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 Alternate interior angles
4. m∠1 = m∠5; m∠3 = m∠6 [tex]{}[/tex] Definition of (congruency) ≅
5. m∠1 + m∠2 + ∠3 = m∠LAM [tex]{}[/tex] ∠Addition postulate
6. m∠1 + m∠2 + ∠3 = 180° [tex]{}[/tex] Definition of straight angles
7. m∠5 + m∠2 + ∠6 = 180° [tex]{}[/tex] Substitution property
Step 3;
Given that line y is parallel to line z, we have that the transversal AB will make equal corresponding angles with the lines y and z, therefore, ∠6 will be equivalent to segment AB extended
Which gives, ∠6 is supplementary to ∠a where ∠a = ∠1 + ∠2
Therefore, given that ∠3 is also supplementary to ∠a where as we have above, ∠a = ∠1 + ∠2, we have that ∠3 = ∠6 and ∠3 ≅ ∠6 where ∠3 and ∠6 are alternate interior angles;
Similarly, ∠1 ≅ ∠5 by alternate interior angles of two parallel lines property.
Answer:
The answer is A. alternate interior angles are congruent
Step-by-step explanation:
I tried all my options and that one was correct.
I need help with this question.
-3(k+5)>-7-3k
Answer:
no solution
Step-by-step explanation:
-3(k+5)>-7-3k
Distribute
-3k -15 > -7-3k
Add 3k to each side
-3k+3k -15 > -7-3k+3k
-15 > -7
This is not true so there is no solution
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
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1.
p: you pass the class
q: you go to the next grade
p -> ~q:_______________________________
~p->~q:_______________________________
Answer:
P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.
Step-by-step explanation:
In order to got to the next grade, you need to pass the class.
or
If you pass the class, you go to the next grade.
Fiona wants to estimate the product (8.7)(3.0). Which expression shows each factor rounded to the nearest whole number?
Please answer these questions! Legit answers only!
Answer:
204.4 amu
Step-by-step explanation:
0.30 * 203 = 60.9
0.70 * 205 = 143.5
60.9 + 143.5 = 204.4 amu
I hope this helps!
Write a complex number where the real component is 7 and the imaginary component is -13i
Answer:
z = 7 - 13i
Step-by-step explanation:
A complex number has the form
z = a + bi ( where a is the real part and bi the imaginary part )
Here a = 7 and bi = - 13i, thus
z = 7 - 13i
4x - 3= 10
What number is x
4x -3 = 10
Add 3 to both sides:
4x = 13
Divide both sides by 4:
x = 13/4
Answer:
x=3.25
Step-by-step explanation:
4x-3=10
Add 3 to both sides.
4x=13
Divide each side by 4.
x= 3.25
Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.
Answer:
Step-by-step explanation:
Grace: -40t+250
Hannah: -54t+306
-40t+250 = -54t+306
SOLVE THE EQUATION ABOVE
t=4
The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.
Given :
Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:
Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.
Step 2 - The linear equation that represents Grace's distance from the stadium is:
[tex]G = 250-40t[/tex]
Step 3 - The linear equation that represents Hannah's distance from the stadium is:
[tex]H = 306 - 54t[/tex]
Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:
[tex]306-54t = 250-40t[/tex]
Step 5 - Simplify the above expression.
[tex]56=14t[/tex]
[tex]\rm t = 4\;hr[/tex]
So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.
For more information, refer to the link given below:
https://brainly.com/question/11897796
Find the equation of the line.
Use exact numbers.
Y=?x+?
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
Learn more about slopes here:
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NEED ANSWERS ASAP (algebra)
1.Find the equation of line W that has a y intercept of 8 and x intercept of 5
2.What is the slope of the line with the following equation
y= -3x + 7
3.what is the x intercept of the line with the following equation
6x-3y=24
4.Solve the following inequality
[tex] - 53 \geqslant - 3(3x + 3) + 3x [/tex]
5.solve the equation
[tex] \frac{3x}{4} - \frac{x}{12 } = \frac{7}{8} [/tex]
6.Find the Value of x:
[tex]x + ( x + 1) + (2x + 2) + (3x + 3) = 90[/tex]
Answer:
1) y = -8/5x + 8
2) slope = -3
3) x = 4
4) x ≥ 22/3
5) x = 21/16
6) x = 12
Step-by-step explanation:
1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).
This makes your slope 8/-5 which is the same as -8/5
2) The slope is next to the x, so the slope is -3/1 which is -3.
3) Rearrange the equation to y = mx + b.
Firstly, subtract 6x from both sides:
-3y = -6x + 24
Then, divide both sides by -3:
y = 2x - 8
To get the x-intercept, divide the y-intercept (but positive) by the slope.
8/2 = 4
Your x-intercept is 4.
4) Distribute on the terms:
-53 ≥ -9x - 9 + 3x
Combine like terms:
-53 ≥ -6x - 9
Add 9 to both sides:
-44 ≥ -6x
Divide both sides by -6:
44/6 ≤ x
(Inequality flipped because you divide by a negative)
Simplify:
22/3 ≤ x
Flip the inequality:
x ≥ 22/3
5) Multiply both sides by 4:
3x - x/3 = 7/2
Multiply both sides by 3:
9x - x = 21/2
Combine like terms:
8x = 21/2
Divide both sides by 8:
x = 21/16
or
x = 1.3125
6) Combine like terms:
7x + 6 = 90
Subtract 6 from both sides:
7x = 84
Divide both sides by 7:
x = 12
Hope this helps!
Level 5a: The marching band is selling hats for $7 and t-shirts for $15. The band’s fundraising goal is $600. The equation to represent the situation is 7x + 15y = 600. Find the x and y intercept and clearly identify which is which. Round to the nearest tenth.
Answer:
7
x
+
15
y
=
600
Find the x-intercepts.
Tap for more steps...
x-intercept(s): (6007,0)
Find the y-intercepts.
Tap for more steps...
y-intercept(s): (0,40)
List the intersections.
x-intercept(s): (6007,0)
y-intercept(s): (0,40)
Step-by-step explanation:
Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren. How many cookies did Cindy receive?
Answer:
Cindy get (12-c) amount while others get 12 cookies
Step-by-step explanation:
From the question we are informed that Grandma baked 96 cookies
And there are 8 Number of grandchildren available
But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,
= 96 cookies baked/8 Number of grandchildren available
= 12 cookies
Which means each get 12 cookies
But
Cindy received less cookies with less C amount.
Then Cindy own will be( 12-c) cookies
Therefore Cindy get (12-c) amount while others get 12 cookies
Answer:
12-c
Step-by-step explanation:
Khan academy unit test, 7th grade math.
Does the graph show a proportional
relationship? If so, use the graph to find
the constant of proportionality.
Answer:
yes. y-=25x
Step-by-step explanation:
Answer:
its 40
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE NEED THIS DONE BEFORE 10:00
Answer:
27/2 or 13.5
Step-by-step explanation:
use PEMDAS
Divide the 18 by 2 then multiply by 3
Subtract 3 from 5 then divide the top 27 by the bottom 2
Answer:
the answer is 9
Step-by-step explanation:
18 divided by 2 equals 9. then 9 times 3 equals 27. 27 divides by 3 (5-2 =3) which equals 9
Suman monthly income rs 25000 he spend 1/5 of his income for house rent and 3/5 of his income an.other exp enditure how much did he save every month
Answer:
₹ 5000
Step-by-step explanation:
Income= ₹ 25000
House rent = 1/5 of 25000
= [tex]\frac{1}{5}*25000[/tex]
= ₹ 5000
Other expenditure = 3/5 of 25000
= [tex]\frac{3}{5}*25000[/tex]
= 3 * 5000
= ₹ 15000
Savings = 25000 - ( 5000 + 15000)
= 25000 - 20000
= ₹ 5000
Answer:
I will return to this question in 3 minutes....please wait.
It is the middle of the night and yeah
Step-by-step explanation:
thougth ri4rng4g 3i45uto34jkmt
Jacques, an artisan cheese maker, collects data on every step of the cheese-making process for each batch he makes. Jacques noticed that the daily high temperature in his shop on the day he made a batch of cheese was related to the pH of the cheese the next morning. He computed the correlation between the daily high temperature and the pH of the cheese to be −0.64 . What information does the correlation provide about the relationship between the daily high temperature and the pH of the cheese?
Answer:
The information is
The daily temperature of the shop increases while the pH of the cheese decreases
Step-by-step explanation:
From the question we are told that
The correlation between the daily high temperature and the pH of the cheese to be −0.64
Generally the information this negative correlation provides a about the relationship between the daily high temperature and the pH of the cheese is that as the daily temperature of the shop increases that pH of the cheese decreases
Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
7
Mr. Ealy works at a shoe store. Mr. Ealy's hourly pay is $14, and he also gets 8% commission on sales. He worked 80 hours
over the last pay period and had $3,450 in shoe sales.
How much was his total income consisting of wages and pay over the last pay period?
Answer:
1396 dollars total
Step-by-step explanation:
First we do the salary
80 hours x 14 dollars= 1120 dollars
1120+ 8 percent of shoe sales
shoe sales=3450$
3450x0.08 commision=276$
1120+276= 1396 dollars
a plane flies at 500km/h. 720 km how long does it take to travel 720km?
Answer:
Step-by-step explanation:
Speed = 500km/h
Distance = 720km.
Time = ?
Use your formula:
Time = Distance / Speed
Time = 500/ 720 = 1.44 hours
YOOOO HELP ME ASAP BRO THIS IS DUED BY TONIGHT COME ON PLEASE
EITHER ONE IS FINE
Answer:
fish food
Step-by-step explanation:
bc my moomy pappa gave me food and im so smart now and they broken now up