Answer:
30 feet
Step-by-step explanation:
We can use Pythagorean theorem for this question because the pole and the wire that is anchored to the ground forms an right triangle because the pole makes an angle of 90 degrees.
One side of the right triangle formed is equal to 24 feet, and because the wire that is anchored to the ground is 18 feet from the bottom of the pole, another side is 18 feet.
Pythagorean theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]. With a and b being the sides of the right triangle and c being the hypotenuse. In this problem, the length of the wire is equal to the hypotenuse of the triangle.
a=24 and b =18. 24 squared is equal to 576, and 18 squared is equal to 324. We add 576 and 324, which is 900. This means that [tex]c^{2}[/tex] =900. To find c, we find the square root of 900, which is 30. Therefore, the length of the wire is 30 feet.
Answer:
30 feet
Step-by-step explanation:
1. The 24-foot pole and the 18 feet from the bottom of the pole form a right angle, meaning that when you add the length of the wire, a right triangle forms.
2. "24-foot pole" is the height, and "18 feet from the bottom of the pole" is the base. The length of the wire is the hypotenuse.
3. To find the hypotenuse of a right triangle, we can use the Pythagorean theorem to solve it: [tex]a^2 + b^2 = c^2[/tex], where a = leg of triangle, b = leg of triangle, and c = hypotenuse (or in this case, the wire).
4. Now, let's apply the formula:
[tex]18^2 + 24^2 = c^2[/tex]Step 1: Simplify both sides of the equation.
[tex](18*18)+(24*24)=c^2[/tex] [tex]324 + 576 = c^2[/tex] [tex]900 = c^2[/tex]Step 2: Take square root of both sides.
[tex]\sqrt{900} =\sqrt{c^2}[/tex] [tex]30 = c[/tex]Step 4: Check if solution is correct.
[tex](18*18)+(24*24)=(30*30)[/tex] [tex]324 + 576 = 900[/tex] [tex]900 = 900[/tex]Therefore, the length of the wire is 30 feet.
Super hero academy's ratio of boys to girls is 5:3. If 7th grade has 150,
7th grade students how many boys and girls are in 7th grade?
Answer:
94 boys and 56 girls.
Step-by-step explanation:
150/8 = 18.75 = x
b=x*5 = 94
g=x*3 = 56
b+g=150
Looking at the question, we see that the ratio of boys to girls is 5:3, the total is 8. We are trying to find what the ratio of boys to girls is while the total is 150. Now, we can easily divide 150 by 8, finding one part of our answer! 150 ÷ 8 ≈ 18 [tex]\frac{3}{4}[/tex]. now to multiply that by the amount of boys and girls (5:3), 18 [tex]\frac{3}{4}[/tex] × 5 = 93 [tex]\frac{3}{4}[/tex] and 18 [tex]\frac{3}{4}[/tex] × 3 = 56 [tex]\frac{1}{4}[/tex]. After we round we get 94:56.
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I hope this helps you! If you can't understand, try to comment and I'll try my best to help. Thanks! -Doodle
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if 1/2gallon of paint cover 1/6 of a wall then how much paint is needed for the entire wall?
Answer:
0.5 gallons paints 1/6of the wall..
0.5+0.5+0.5+0.5+0.5+0.5=> 3 gallons paint the wall
How to do q6 (a) and (b)? please help!!!
ignore my draft haha
a)
The sides of small squares are x and y, therefore the side of the big square is x + y.
The shaded region has an area:
(x + y)² - x² - y² = x² + 2xy + y² - x² - y² = 2xyb)
After the dimension changes the new side lengths are:
x - 2 and y + 2Since x and y are integers greater than 1, the minimum value of x is 2 (x = 1 doesn't work as we get negative value of x - 2) and same of y is 3 as y > x.
With this the smallest possible area of the shaded region is:
2xy = 2*2*3 = 12 cm²[tex]\lim_{x \to +\infty} (\frac{x^{2}-3x-1 }{x^{2} -4x+2} )^{\frac{x}{2} }[/tex]
Step-by-step explanation:
I know but I m feeling bore
In the given figure ST | PQ, If 2PS = 3SR and ST = 9 then find PQ
pls answer.
40 points.
Answer:
Ar.ofΔPST
=
4
9
Step-by-step explanation:
In figure ST || QR
and PS= 3 cm & RS= 4cm
In ΔPST & PQR
QPR=∠TPS [Common]
∠PRQ=∠PST [corresponding]
ΔPQR∼ΔPST [AA similarity]
Now
In similar triangles ratios of the area of triangles is equal to the ratio of the square of corresponding sides.
Ar. ofΔPRQ
Ar.ofΔPST
(
3+4
3
)
2
=
49
9
Hence [
Ar.ofΔPRQ
Ar.ofΔPST
=
49
9
]
Help me and there will be an apple at your doorstep. (There might be some shipping issues)
Fill in the blank.
Answer:
9.30 maybe
Step-by-step explanation:
I just did mathz
Answer:
9.30
Step-by-step explanation:
Based on a poll
, among adults who regret getting tattoos, 14% say that they were too young when they got their tattoos. Assume that six adults who regret getting
tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
a. Find the probability that none of the selected adults say that they were too young to get tattoos
(Round to four decimal places as needed.)
The probability that none of the selected adults say that they were too young to get tattoos is 0.3512
What is Binomial probability distribution?The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
14% say that they were too young when they got their tattoos.
So, p= 0.14.
Six adults who regret getting tattoos are randomly selected
So, n=6.
Now, the probability that none of the selected adults say that they were too young to get tattoos.
P(X=0) = [tex]C_ {6.0} (0.14)^{0} (0.86)^{6}[/tex]
= 0.3512
Learn more about this concept here:
https://brainly.com/question/24123162
#SPJ1
X^2+x+2=0. Solve for x
Answer:
no solution
Step-by-step explanation:
Steps are in order in the images below;
Last step:
there are no real solutions because the discriminant is negative
The square root of a negative number is not a real number
=−7
1.7 PS-6
Quesu
Challenge You buy 3.17 pounds of pears, 1.45 pounds of oranges, and 1.77 pounds of grapes. What
is your total bill?
Grocery Store Prices
Item
Cost
Pears
$0.99 per
pound
Oranges $1.19 per
pound
Grapes
$1.29 per
pound
Your total bill is $
(Round to the nearest cent as needed.)
Ento
Step-by-step explanation:
the price of:
3.17 pounds of pears = 3.17 × 0.99
= $3.14
1.45 pounds of oranges = 1.45 × $1.19 = $1.73
1.77 pounds of grapes = 1.77 × $1.29 =$2.28
so , the total bill = 3.14+ 1.73+ 2.28 = $7.15
Find prices of all
pears
3.17(0.99)$3.14Oranges
1.19(1.45)$1.73Grapes
1.77(1.29)$2.28Total
2.28+1.73+3.14$7.15A square has side of length y units what is the area?
I have attached the question below, if you could help me, I would really appreciate it.
Answer:
13/2
see the picture above
Answer:
[tex] \frac{4x - 1}{2} = x + 7 \\ 4x - 1 = 2(x + 7) \\ 4x - 1 = 2x + 14 \\ 4x - 2x = 1 + 14 \\ 2x = 15 \\ x = \frac{15}{2} \: or \: x = 7.5[/tex]
Hey !! Can anyone help me with this question please and thank you !
Answer:
x = 22
Step-by-step explanation:
6x+3 = 7x - 19
22 = x
good day
£35 in the ratio 3:4
Answer:15 and 25
Step-by-step explanation:
3:4= 7
35/7=5
5x3=15
5x4=20
Plz help, I don’t understand
3. At a cross country race, Ariela's heart beats 120 times in 1 minute. How many times does i
beat in 45 seconds?
Answer:
vgbsmihgdjuvs
ihfriguiuvgrlgr
Brainlisted for right answer!!! 25 points!!! Please help me!!! I really need this done!!!
Answer:
Step-by-step explanation:
While I can not give you the exact answer as it is a graph, it's worth noting that the function is in f(x) = mx + b form.
This means the first point with an x coordinate of 0 will start at 6, and for each increase in one on the x-axis, we add 2.4.
So, the first coordinate is (0,6), the next is (1,8.4), and so on until you reach the end. That shouldn't take very long provided you can compute addition mentally.
Hope this helps and Good Luck
como se escribe 454,505,505 en letra
Answer:
148.16en ltera
Step-by-step explanation:
Determine whether the triangles are similar
Step-by-step explanation:
ur are choosing correct option as,
W = Y ( 90° given )
VW = YZ ( as both are || to eachother so their length is same )
angle X = X ( vertically opposite angle)
therefore, ∆WVX = ∆ZYX are congruent according to SAS congruency rule/criteria.
hope this answer helps you dear..take care and may u have a great day ahead and also ur exam/test goes well!.
Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
2 = 4y - 10
7x +12y = 7
The more convenient method to solve the given system of equations is by elimination.
Solving systems of linear equationFrom the question, we are to determine whether it would be more convenient to solve the system of equations by substitution or elimination
The given system of equations is
2 = 4y - 10 ----------- (1)
7x +12y = 7 ----------- (2)
In equation (1), we can see that there is no variable x in the equation. Thus we can solve for y and then substitute the value of y into equation (2).
That is,
From equation (1)
2 = 4y - 10
2 + 10 = 4y
12 = 4y
12/4 = 4y/4
3 = y
∴ y = 3
Now, we can substitute the value of y into equation (2) to determine the value of x
Hence, the more convenient method to solve the given system of equations is by elimination.
Learn more on Solving system of linear equations here: https://brainly.com/question/13729904
#SPJ1
graph the line with slope 8 and y-intercept -9
Someone please help me I think its the third one I am just not entirely sure. I will give 5 stars and thanks!
Answer:
the third one is the correct answer
The gymnastics center where Shannon works has a rectangular pit filled with foam. The pit is 6 meters long, 5 meters across, and 3 meters deep. What is the volume of the pit?
Answer:
90 meters
Step-by-step explanation:
Volume = length x width x height
V = 6 x 5 x 3
V = 90
Which table represents a linear function?
Answer:
Table 1 (leftmost)
Step-by-step explanation:
A linear function has a common difference between all of the x-values. This means that all the x-values change by the same amount relative to the change in y. In this case, the x-value increases by 1/2 every time that y increases by 1. The other tables do not work because their change is inconsistent. There is no number being added each time. Therefore, they are not linear. If you were to graph these tables, only table 1 would make a straight line.
what are the products of these problems: 4.3 x 7.2 0.3 x 24 0.9x1
Answer:
1. 30.86 2. 7.2
Step-by-step explanation:
Hopes this helps
Answer:
4.3 × 7.2 = 30.960.3 × 24 = 7.20.9 × 1 = 0.9Step-by-step explanation:
1. Simple multiplication. Multiply 4.3 and 7.2
2. Simple multiplication. Multiply 0.3 and 24
3. Simple multiplication. Multiply 0.9 and 1
==>> Result 1: 30.96
==>> Result 2: 7.2
==>> Result 3: 0.9
what is the product of 0.35 and 0.46? (with solution please)
Step-by-step explanation:
Hope this helps you ☺️☺️☺️
a local hamburger shop sold a combined total of 641 hamburgers and cheeseburgers on sunday. there were 59 fewer cheseburgers sold than hamburgers. how many hamburgers were sold on sunday?
Answer: 700 Hamburgers
Answer:
I believe the answer is 700
HELP!
Claymore electronics sold 81 computers and 52 printers last week. Twenty-five separate customers purchased computers and printers. How many customers purchased only computers.
Answer:
56!
Step-by-step explanation:
HOPE THIS HELPS
HAVE A NICE DAY!!
MARK BRAINLIEST IF POSSIBLE PLS! :D
Write the equation of a square root function that has the following graph.
9514 1404 393
Answer:
g(x) = √(x -5) +7
Step-by-step explanation:
To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...
g(x) = f(x -h) +k
To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...
g(x) = √(x -5) +7
What is the slope of the line?
−9/5
−5/9
9/5
5/9
Answer:
-9/5
Step-by-step explanation:
(-3, 3) & ( 2, -4) -9/5 rise over run and negative because its in negative axis
Define the transformations in f(x) = -1/3|2x - 3|+ 2 from f(x) = |x|
Answer:
horizontally shrink by factoring of 2, shift 3/2 units to the right, shift 2 units upward
Step-by-step explanation: