Step-by-step explanation:
All we have to do is apply the Pythagorean theorem which states that a²+b²=c²
where c is the hypotenuse of the triangle or the side facing the 90° angle.
Moreover a & b are the other two sides of the triangle.
[tex]11 {}^{2} = {9}^{2} + h {}^{2} [/tex]
where h is the height from the ground
[tex]121 = 81 + {h}^{2} [/tex]
[tex]h {}^{2} = 121 - 81[/tex]
[tex]h {}^{2} = 40[/tex]
[tex]h = \sqrt{40} = 6.324[/tex]
Rounding to the nearest tenth,
[tex]h = 6.3[/tex]
3. What are the means of the following proportion?
3/5 = 12/60
A. 3 and 15
B. 15 and 12
C. 3 and 60
D. 12 and 60
Answer:
It's "B" (15 and 12)
Step-by-step explanation:
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157
Answer:
n=78
Step-by-step explanation:
Step - b * y - s step explanations
2n + 1 = 157
2n = 157 - 1
2n = 156
n = 156/2
n = 78
What’s the answer to this
Answer:
18 hours
Step-by-step explanation:
First you subtract 13 from 68. 55, if you divided 55 by 3, you would have 18 with a remainder of 1. so 18 hours.
Solve for x in the following numbers
4x squared + 1 =4x
Answer: x = 1/2
Step-by-step explanation: Set it equal to zero by subtracting 4x from both sides:
4x² - 4x + 1 = 0
Now, factor it:
(2x - 1)(2x - 1)
Set each one equal to zero, but since they’re the same, you only need to do it once:
2x - 1 = 0
Add 1 to both sides:
2x = 1
Divide both sides by 2:
x = 1/2
Hope this helps!
Answer:
x=1/2
Step-by-step explanation:
4x^2+1=4x
or,4x^2-4x+1=0
or,(2x)^2 - 2*2*x+(1)^2 =0
or,(2x-1)^2 =0
or,2x-1 =0
or,2x=1
Therefore, x=1/2
please can you help me with this
Answer:
The answer would be 0
Step-by-step explanation:
Because halfway of 4, -2 is 0
Answer:
You would want to put this in point-slope form. your answer would be
y+2=1/2(x-4). You can also put this is standard form which would be, y=1/2x-4.
I hope this helps!
(Brainliest to the person that get its right)
Which of the following is the square of a binomial?
A)m^2-mn+n^2
B)c^2-2cd+d^2
C)16x^2 + 9y^2
D)a^2+b^2
c^2-2cd+d^2 = (c-d)^2
We can verify this with the following steps
(c-d)^2 = (c-d)(c-d)
(c-d)^2 = c(c-d) - d(c-d)
(c-d)^2 = c^2-cd-cd+d^2
(c-d)^2 = c^2-2cd+d^2
this is my question. i’m terrible at this.
Answer:
what is this question...
Stephanie multiplied two decimal numbers and found the product to be 29.648.
Which could be the two decimals Stephanie multiplied? Check all that apply.
13.6 and 2.18
1.36 and 2.18
1.36 and 21.8
13.6 and 0.218
i will give crown
Answer:
13.6 and 2.18 AND 1.36 and 21.8
Step-by-step explanation:
Answer:
b is the answer
X= 164, -8, 4, 164
Y= -99, -60, -57, -17
Which equation represents the same relationship?
A. y + 17= 1/4(x - 164)
B. y - 17= 1/4(x + 164)
C. y + 164= 1/4(x - 17)
D. y - 164= 1/4(x + 17)
The Equation of line is y + 17= 1/4(x - 164).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
X= 164, -8, 4, 164
Y= -99, -60, -57, -17
Using slope
= ( -17 + 57 )/ ( 164 - 4)
= 40/ (160)
= 1/4
So, Slope- intercept form
y + 17 = /4 ( x- 164)
Learn more about slope here:
https://brainly.com/question/3605446
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Giving 20 points need answer asap
200 in sq
Step-by-step explanation:
look at the image as 2 faces, each face is a 10 x 10 area
area is length * width so 10 x 10 is 100
we have 2 of these squares meaning that you have multiply the 100 by 2
this gives you the 200 in sq
Which is greater: 3x3/2 or 3X2/3 Why?
Answer:
3X3/2 is greater
Step-by-step explanation:
Go left to right and solve the equations.
Equation 1: 3 multiplied by 3 is 9. 9 divided by 2 is 4.5
Equation 2: 3 multiplied by 2 is 6. 6 divided by 3 is 2
Equation 1 yields a greater value.
Answer:
The 3x3/2 is greater than 3x2/3
Step-by-step explanation:
Here is a simple tip when solving these questions:
Decimal form is always great to use because you get the answer instantly instead of finding a common denominator while involving fractions.
Let's solve 3x3/2.
First, do 3x3 which is 9.
Your problem should be 9/2
Now, you could do this as a mixed number but like I said there shall be more work so you should do 9/2 on a calculator or divide but involve decimal point if you have a remainder.
9 divided by 2 is 4.5
9/2 is 4.5 (Above is the interpretation in words)
Next, do 3x2/3
The same thing as last, do 3x2 first.
Your problem should be 6/3
If we know our division facts then 6 divided by 3 is 2.
Lastly, compare our numbers.
The 3x3/2 is 4.5 and the 3x2/3 is 2
Line the numbers up:
4.5
2.0
The tens digit clearly shows that 4 is greater than 2.
Therefore,
The 3x3/2 is greater than 3x2/3
i am 2/3 greater than 5/6
Step-by-step explanation:
Convert 2/3 to an equivalent fraction of /6 and add it to the 5/6... (Get common denominators)
The answer is 3/2
Are the following lines perpendicular? Explain your answer. y = -2x +3 y =
-1/2 x-1
Answer:
No
Step-by-step explanation:
No, the slope of perpendicular lines are negative reciprocal of one another.
In this case, the negative reciprocal of -2 is 1/2 not -1/2
Students are taking a Math test that has 28 questions and is worth 100 points , Some of the questions are worth 3 points and the rest are worth 4 how many of each type of problem are on the test
Answer:
There are 12, 3-point problems & 16, 4-point problems
Step-by-step explanation:
3-point problem = x
4-point problem = y
Total points = 100
Total problems = 28
According to given statement; x+y=28
35% of the tickets sold at a school carnival were early-admission tickets. If the school sold 40 tickets in all, how many early-admission tickets did it sell?
Answer:14
Step-by-step explanation:440 X .35 = 114. You have tto Turn 35% into a decimal. Move over 2 times now you get .35
I need help with this assignment
Angles 1 and 2 are a supplementary pair with the measure of angle 2 being six more than twice the measure of angle 1. What is the measure of angle 2?
Answer:
58° and 122°
Step-by-step explanation:
Let the 1st angle be 'a'.
2nd angle = 6 more than twice of a = 2a + 6.
Supplementary angles add upto 180°.
=> a + (2a + 6) = 180
=> a + 2a + 6 = 180
=> 3a + 6 = 180
=> 3a = 174
=> a= 174/3 = 58
Thus, angles are:
a = 58°.
2a + 6 = 2(58°) + 6 = 122°
An object travels 8 miles in 20 minutes at a constant speed. What is the object speed in miles per hour
Answer:
24miles/hour
Step-by-step explanation:
8miles/20minutes
1hour-->60minutes
60÷20=3
8×3=24miles
Solve the equation for y.
Y/a - 16 = h
Answer: y=2+8x
Step-by-step explanation:
Take 2+78
Please help asap
find 140% of 82
Answer:
114.8
Step-by-step explanation:
The soda machine contains 225 sodas at capacity. On average 15 drinks get dispensed per day.
Write an equation in slope-intercept form to represent the total number of sodas in the vending machine in days.
Answer: y = -15x + 225
Step-by-step explanation:
slope-intercept form is y = mx + b
The 225 is the starting amount.
x is the number of days since the machine was loaded.
-15 is the amount subtracted on average per day. It is the slope, m
y is the number of sodas left in the machine
The function f(x)=x^2+2x+6 is graphed in the xy-coordinate plane shown .Based on the graph of the function ,which of the following statements are true select all that apply
Unfortunately your graph is wrong(Correct one is attached)
Correct ones are
f is increasing while x<0 f is increasing while 0<x<1f is increasing while 1<x<3Note
if you make the function y=-x^2+2x+6 then the rest two are correct
Answer:
f is increasing on the interval x < 0
f is increasing on the interval 0 < x < 1
Step-by-step explanation:
From inspection of the graph, the curve is increasing when x < 1 and the curve is decreasing when x > 1
Therefore, the following are true statements:
f is increasing on the interval x < 0f is increasing on the interval 0 < x < 1omg help pls and tysm :)
Answer:
150 why? is 4 times xd 150×4 is 600 that's it
Answer:
150
Step-by-step explanation:
Please answer quick thanks
Answer:
140
Step-by-step explanation:
They are the same on both sides
:)Hope you enjoy this:)There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?
Answer:2
Step-by-step explanation5
What is the slope of the line defined by the equation 3x - 2y = 10 ?
Answer:
M=3/2
Step-by-step explanation:
Convert to slope-intercept form.
subtract 3x from both sides:
3x-2y=10
-3x -3x
the threes will cancel out leaving you with:
-2y=10-3x
then divide both sides by -2:
-2y=10-3x
-2y -2
your twos will then cancel out leaving you with:
y=-5-3/2
your answer is then:
3/2
heres a formula you can go by:
y=mx+b. m is the slope and b is the y-intercept.
I hope this helps :)
sorry if it doesn’t.
HELP??????? I DO NOT UNDERSTAND
Answer:
y ≥ 1, (meaning y can be greater than 1/infinite numbers or just 1)
x ≥ 2, (meaning x can be greater than 2/infinite numbers or just 2)
Luigi is an Urban Planner. As an independent contractor he charges a $140 fee plus $25 per hour for each contract with the city.
Write a function to represent this scenario where y represents the total amount he changes for a project and x represents the number of hours worked on a project.
(Please also tell me the "Amount earned for 10. hours of work")
PLEASE ANSWER THIS I NEED HELP!!!
The total amount earned in 10 hours of work is $390.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, an independent contractor he charges a $140 fee plus $25 per hour for each contract with the city.
Here, y represents the total amount he changes for a project and x represents the number of hours worked on a project.
Now, y=140+25x
Amount earned for 10 hours of work is
y=140+25×10
= 140+250
= $390
Therefore, the total amount earned in 10 hours of work is $390.
To learn more about the function visit:
https://brainly.com/question/28303908.
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Caitlin has a balance of $4,880 on her credit card that has an APR of 16%. She currently pays the minimum monthly payment of $105. 86. If Caitlin wants to pay off her balance in 20 months, determine the monthly payment she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Caitlin to pay off her balance in 20 months. Income Wages $2,896. 00 Expenses Rent $1200. 00 Utilities $212. 64 Food/Clothes $335. 00 Entertainment $346. 00 Car $490. 00 Credit Card $105. 86 Cell Phone $116. 37 Net Income $90. 13 a. Caitlin can eliminate $100 from Food/Clothes and $85 from Entertainment. B. Caitlin can eliminate $62 from Food/Clothes and $49 from Entertainment. C. Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment. D. The minimum payment is enough to pay off the balance within 20 months.
If Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment. Then she can pay the credit amount in 20 months.
What is APR?APR on a credit card is the way of saying that the interest you are charged over a year is equal to roughly of your balance.
Caitlin has a balance of $4,880 on her credit card that has an APR of 16%.
She currently pays the minimum monthly payment of $105. 86. If Caitlin wants to pay off her balance in 20 months, determine the monthly payment she would need to make.
Choose the following modification with the least cuts to her current expenses that will allow Caitlin to pay off her balance in 20 months.
Income
Wages $2,896. 00
Expenses
Rent $1200. 00
Utilities $212. 64
Food/Clothes $335. 00
Entertainment $346. 00
Car $490. 00
Credit Card $105. 86
Cell Phone $116. 37
Net Income $90. 13
The net amount will be over 20 months is 5591.8.
Monthly payback will be
[tex]\rm Monthly\ pay = \dfrac{5591.8}{20}\\\\Monthly\ pay = 279.59[/tex]
She was paying 105.68 dollars per month. Then the amount will be
Amount = 279.59 – 105.68 = 173.73
If Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment. Then she can pay the credit amount in 20 months.
More about the APR link is given below.
https://brainly.com/question/8846837
What is the following product?
3V2(5V6-7V3)
Answer:
st-2f u
Step-by-step explanation:
so the essay 2+1=2