A 4.5 m long pipe rests against a 2 m high
tank. One end of the pipe is on the ground
3 m from the base of the tank. How much
of the pipe overhangs the tank?
4.5 m
Bm
3 m
help me please lol
Answers
Answer:
0.89 m is the answer
Step-by-step explanation:
the wall, the ground and portion of pipe form a right angle triangle with pipe portion being the hypotenuse.
for a right triangle
[tex]{hypotenuse}^{2} = {base}^{2} + {height}^{2} [/tex]
here we have base = 3m and height = 2m.
thus
[tex] {h}^{2} = {3}^{2} + {2 }^{2} \\ = 9 + 4 \\ = 13 \\ h = \sqrt{13} [/tex]
portion of pipe overhanging = 4.5 - sqrt (13)
= 4.5 - 3.61
= 0.89 m
Related Questions
You have entered a pie baking contest. In the contest, you must make several pies for the judges to taste. You will make your famous strawberry pie to compete with the other bakers. Utilize your skill with fraction to make correct calculations. You need to use 4/5 strawberries for a single pie, How many cups are needed for 2 pies?
Answers
Answer:
x=2.5 cups are needed for 2 pies
Step-by-step explanation:
4/5 or 0.8
Fraction form: 4/5x = 2 x= 5/4
Decimial form: 0.8x = 2 x = 2.5
Mixed number form: 2 1/2
Hope that helped :)
find the x-intercept of the function y=4x+6
Answers
Answer:
The x-intercept = -3/2
Step-by-step explanation:
Set y = 0 to find the x-intercepts;
=> y = 4x + 6
=> 0 = 4x + 6
=> 0 - 6 = 4x
=> -6 = 4x
=> -6/4 = x
=> -3/2 = x
Therefore the x-intercept = -3/2
Hope this helps!
5(2x + 1) = 35 solve
Answers
Answer:
3
Step-by-step explanation:
5(2x + 1) = 35
10x + 5 = 35
10x = 30
x = 3
Can someone help on this? Please :)
Answers
answer:
N(t)=2×[tex]1.7^{t}[/tex]
17
15
step by step explain:
before lesson (t=0), she knows 2 words.
after a week (t=1), she knows
2×(1+70%)=3.4 words
after one more week (t=2), she knows
3.4×(1+70%)=5.78 words
one more week later (t=3), she knows
5.78×(1+70%)=9.826 words
and so on ...
from pattern shown above, we know that she knows
2×[tex]1.7^{t}[/tex] words after t weeks
so N(t)=2×[tex]1.7^{t}[/tex]
after 4 weeks (t=4), she knows 2×[tex]1.7^{4}[/tex]=16.7042≈17 words
for learning 5000 words, she need:
2×[tex]1.7^{t}[/tex]=5000
[tex]1.7^{t}[/tex]=2500
t log(1.7)=log(2500)
t=[tex]\frac{log(2500)}{log(1.7)}[/tex]
=14.7448727
≈15 (round up)
Answer:
(a) N(t) = 2(1.7)^t
(b) 17
(c) 15
Step-by-step explanation:
(a) N(t) = 2(1.7)^t
There is a 2 because she starts with 2 words. The 1.7 is since her vocabulary grows by 70%. Finally, t represents the weeks. (it is an exponent)
(b) Just plug in the equation
N(4) = 2(1.7)^4
N(4) = 2(8.3521)
N(4) = 16.7042
Round, so it is 17
(c) Once again, plug in the equation
5000 = 2(1.7)^t
2500 = (1.7)^t
use a calculator for the part below
log1.7(2500) = log1.7(1.7)*t
t = log1.7(2500)
t = 14.7448
Round, so it is 15
Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket
Answers
Given:
Total amount spend on movie = $75
Each friend bought a ticket and a small popcorn that cost $8.25.
To find:
The price of each ticket.
Solution:
Let x be the price of each ticket.
Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]
Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]
It is given that, the total amount spend on movie is $75. So,
[tex]3(x+8.25)=75[/tex]
[tex]x+8.25=\dfrac{75}{3}[/tex]
[tex]x+8.25=25[/tex]
Subtract 8.25 from both sides.
[tex]x=25-8.25[/tex]
[tex]x=16.75[/tex]
Therefore, the cost of each movie ticket is $16.75.
Convert. Round to 3 decimal places.
7 quarts ≈ ____ liters
Answers
1 quart = 0.9463 liters
8 quarts x 0.9463 = 7.5704 liters
Rounded to 3 places 7.540
Also depending on the exact conversion used it could would to 7.541 liters
Answer:
7 quarts = 7.5704
Step-by-step explanation:
We know that
1 quarts = 0.9463 litres
7 quarts = 8 × 0.9463 = 7.5704 litres
I’m not really sure what it’s would be?
Answers
angle y = 130°
___________________________
the slope is 6 and passes through (-4,4)
Answers
Answer:
y=6x+28
Step-by-step explanation:
Using the given variables, find the equation of the line using y=mx+b
In this equation, m=slope, which means m=6
So now we have y=6x+b. We need to find the b value.
Plug in the point (-4,4) into the equation and solve for b like so:
y=6x+b
4=6(-4)+b
28=b
Now, plug in your m value and b value into y=mx+b to get your answer of y=6x+28
✨HELP ASAP *Please*✨Theese figures are congruent. What series of transformations moves pentagon ABCDE onto pentagon A'B'C'D'E? Note: Rotations are clockwise Reflections are over the x-ory-axis.
A Rotation, translation
B. Reflection, translation
C. Reflection, rotation
D. Transation ansition
Answers
Answer: C
Brainliest Me
someone help me pleaseeeeee
Answers
Answer:
D
Step-by-step explanation:
All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.
Darrel receives a weekly salary of $435. In addition, $12 is paid for every item sold in excess of 100 items. How much will Darrel earn for the week if he sold 189 items?
Answers
Answer:
2703
explanation:
12×189=2268
2268+435=2703
Darrel earned 1503 dollars that week.
How to count no. of digits from a certain no. to a certain no. ?Suppose we are given how many no. are there from 224 to 358.
To find do the following (358 - 224 + 1) = 135 numbers.
According to the question Darrel receives a weekly salary of 435 dollars. In addition, 12 dollars is paid for every item sold in excess of 100 items.
Here excess of 100 items means after 100 which is 101.
He sold 189 items so his addition earning is for (189 - 101 + 1) = 89 items.
Given for each item he is paid 12 dollars.
∴ For 89 items he is paid (89 × 12) dollars which is
= 1068 dollars.
So in that week Darrel earns total of (435 + 1068) dollars.
= 1503 dollars.
Learn more about these types of problems here :
https://brainly.com/question/16093003
#SPJ2
what is the slope of a line containing points (2,-1) (3,5)
Answers
Answer:
slope(m)=6
Step-by-step explanation:
(2 , -1)=(x1 , y1)
(3 , 5)=(x2 , y2)
use formula : y2 - y1/x2 - x1
=5-(-1)/3-2
=5+1/1
=6/1
=6
therefore slope of a line is 6.
A sculptor needs to lift a piece of marble it’s a cuboid with dimensions 1 by 0.2 by 0.5 marble has a density of 2.7 what’s the mass in kg
Answers
Answer:
Mass of piece of marble = 0.27 kilogram
Step-by-step explanation:
Given:
Dimensions of cuboid = 1 x 0.2 x 0.5
Density of marble = 2.7
Find:
Mass of piece of marble
Computation:
Volume of cuboid = (l)(b)(h)
Volume of marble = 1 x 0.2 x 0.5
Volume of marble = 0.1
Mass = Density x Volume
Mass of piece of marble = Density of marble x Volume of marble
Mass of piece of marble = 2.7 x 0.1
Mass of piece of marble = 0.27 kilogram
What are the answers to this someone please help.
Answers
1234567890233572o7o5y345uo22u.3936584643728284/43794729237932972478864966666666666666666666666666666666663870434573428734907 goood luck!
If point P is Nine-elevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?
9:2
9:9
9:11
9:13
Answers
Given:
Point P is Nine-elevenths of the distance from M to N.
To find:
The ratio in which point P partition the directed line segment from M to N.
Solution:
It is given that, point P is Nine-elevenths of the distance from M to N. So,
[tex]\dfrac{MP}{MN}=\dfrac{9}{11}[/tex]
It can be written as
[tex]\dfrac{MP}{MN}=\dfrac{9}{11}[/tex]
Let the lengths of MP and MN are 9x and 11x respectively. Then,
[tex]PN=MN-MP[/tex]
[tex]PN=11x-9x[/tex]
[tex]PN=2x[/tex]
Now,
[tex]\dfrac{MP}{PN}=\dfrac{9x}{2x}[/tex]
[tex]\dfrac{MP}{PN}=\dfrac{9}{2}[/tex]
[tex]\dfrac{MP}{PN}=9:2[/tex]
It means, point P divides the line segment MN in 9:2.
Therefore, the correct option is A.
Answer:
A . on E D G E
Step-by-step explanation:
trust
Noah has a points card for a movie theater.
• He receives 40 rewards points just for signing up.
• He earns 4.5 points for each visit to the movie theater.
• He needs at least 145 points for a free movie ticket.
Which inequality can be used to determine v, the minimum number of visits Noah
needs to earn his first free movie ticket?
Did
Answers
Answer: 145≤40+4.5v
Step-by-step explanation: have a blessed day !
E(-2,-1) and F(-2,-5) what is the distance in each pair of points
Answers
Answer:
6 units
Step-by-step explanation:
E(-2 , -1) = (x1 , y1)
F(-2 , -5) = (x2 , y2)
distance = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(-2 - (-2))^2 + (-5 - (-1))^2}[/tex]
=[tex]\sqrt{(-2 + 2)^2 + (-5 + 1)^2[/tex]
=[tex]\sqrt{0^2 + 6^2}[/tex]
=[tex]\sqrt{36}[/tex]
= 6 units
Three times a number increased by ten to equal to twenty less than six times the number. Find the number.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
will mark brainlist.
Answers
Answer:
x =10
Step-by-step explanation:
3x + 10 = 6x -20
3x - 6x + 10 = -20
-3x + 10 = -20
-3x = -20 -10
-3x = -30
x = -30/-3
x = 10
Check:
3(10) + 10 = 6(10) - 20
30 + 10 = 60 - 20
40 = 40
Please help me thank you
Answers
Answer:
0.2
Step-by-step explanation:
Easy divide 1/5 as a decimal and you should get a decimal form number 0.2
1÷5=0.2
Hope this helps
A quadratic monomial with a leading coefficient of 6
A linear binomial with a leading coefficient of 2
Answers
Given:
A quadratic monomial with a leading coefficient of 6.
A linear binomial with a leading coefficient of 2.
To find:
The mathematical terms for the given statements.
Solution:
Monomial: The expression with single term.
Binomial: The expression with two terms.
Quadratic: Highest power of the variable is 2.
Linear: Highest power of the variable is 1.
Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.
The first statement is "A quadratic monomial with a leading coefficient of 6".
Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is [tex]6x^2[/tex].
The second statement is "A linear binomial with a leading coefficient of 2".
Linear binomial means [tex]ax+b[/tex], where a and b are real values. The leading coefficient is 2. So, [tex]a=2[/tex].
Let [tex]b=1[/tex], then the required linear binomial is [tex]2x+1[/tex].
Therefore, a quadratic monomial with a leading coefficient of 6 is [tex]6x^2[/tex].
A linear binomial with a leading coefficient of 2 is [tex]2x+1[/tex].
round the whole number 21,908 to the nearest thousands place
Answers
Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up
Simply
7p2 x 3p
14p4
Answers
Answer:
[tex]{ \tt{ = \frac{7 {p}^{2} \times 3p}{14 {p}^{4} } }} \\ = { \tt{ \frac{21 {p}^{3} }{14 {p}^{4} } }} \\ = { \tt{1.5 {p}^{ - 1} }}[/tex]
It didn't really give a question
Answers
Answer:
x=58 degree
Step-by-step explanation:
angle AGF +32 =90 degree (being perpendicular)
angle AGF =90-32
angle AGF =58 degree
angle x =angle AGF (being vertically opposite angles)
x=58 degree
Answer: It is asking for the answer to angle x, which is 68 degrees
(6 - i)(6 + i) multiplying complex numbers
Answers
Answer:
[tex](6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37[/tex]
Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.
A system of equations. c plus m equals 6. m equals StartFraction c over 3 EndFraction.
Which describes the ingredients Brad uses to make one batch of snack mix?
2 cups of cereal and 4 cups of mixed nuts
3 cups of cereal and 9 cups of mixed nuts
4.5 cups of cereal and 1.5 cups of mixed nuts
7.5 cups of cereal and 4.5 cups of mixed nuts
Answers
The following chart shows a store’s coat sales for two years. Identify the percent increase in total sales and the percent increase in sales of jackets. Then find which percent of increase is greater and by how much greater it is than the other. (Round your answer to the nearest tenth.) a. Sales of jackets increased 3.6 percentage points faster than total coat sales. b. Sales of jackets increased 18.8 percentage points faster than total coat sales. c. Total coat sales increased 8.1 percentage points faster than sales of jackets. d. Total coat sales increased 24.5 percentage points faster than sales of jackets. Please select the best answer from the choices provided A B C D
Answers
Answer:
The answer is "Option b"
Step-by-step explanation:
Please find the complete question in the attached file.
In 2006:
Top coats= 297
Parkas= 210
Jackets =213
Raincoats=137
Trench coats =103
Total: [tex]297+210+213+137+103=960[/tex]
In 2007:
Top coats =223
Parkas = 210
Jackets= 285
Raincoats = 259,
Trench coats =127
Total: [tex]223+210+285+259+127=1,104[/tex]
Calculating the percentage of the increasing total sales:
[tex]\to \frac{1,104-960}{960}\times 100=15\%[/tex]
Calculating the percentage of the increasing sales of the trench coats: [tex]\to \frac{127-103}{103}\times 100 \approx 23.3\%[/tex]
Because [tex]23.3\%- 15\%=8.3\%[/tex] sales of the Trench coats increase by 8.3% point is faster than the total coat sales.
Answer:
B
Step-by-step explanation:
A, B & C lie on a straight line. BD = CD. ∠ BCD = 70° and ∠ BAD = 10°. Work out x
Answers
Answer:
x= 100
Step-by-step explanation:
straight line = 180⁰
180-(70+10)= 100
PLEASE please help me! this is due tonight. thank you
explaining your answer = brainliest/ five stars
the perimeter of this square is 48 cm. c = ___ cm
Answers
Answer:
c = 12
Step-by-step explanation:
If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12
Brainliest pls
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
–196
–168
22
78
Answers
Answer:
-168
Step-by-step explanation:
because f(x) = 8 - 10xg(x) = 5x + 4
(fg)(x) = (8 - 10x)(5x + 4)(fg)(x) = 40x + 32 - 50x^2 - 40x(fg)(x) = 32 - 50x^2
(fg)(-2) = 32 - 50(-2)^2(fg)(-2) = 32 - 200(fg)(-2) = -168
HELPPPPP!!! ASAPPPPP!!!!!
Answers
Answer:
12[tex]\sqrt{3}[/tex] / 24
Step-by-step explanation:
ΔXZW is a 30-60-90 triangle whose sides are in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2, respectively
also, ΔXZW ≅ ΔYZW
so XW = 12
XZ = 24
WZ = 12[tex]\sqrt{3}[/tex]
cos ratio of ∡XZW is WZ/XZ which is:
12[tex]\sqrt{3}[/tex] / 24
