Answers
We know that,
In a right-angled triangle,
Hypotenuse ² = Base ² + Height ²
1 – 10 ² = 6 ² + X ²
Or, X ² = 10 ² – 6 ²
Or, X ² = 100 – 36
Or, X ² = 64
Or, X = √ 64
Or, X = 8 Units
2– X² = 7² + 3²
Or, X² = 49 + 9
Or, X² = 58
Or, X = √58
Or, X = 7.61 Units ( Approx )
3 – 15 ² = EF ² + 9
Or, EF² = 15 ² – 9 ²
Or, EF ² = 225 – 91
Or, EF ² = 134
Or, EF = √ 134
Or, EF = 11.6 Inches ( Approx)
.II} 1 – Here the length of the ladder will be the hypotenuse.
Hence, Hypotenuse = 13 Metre
.Now, The vertical wall will be the height.
Hence, Height = 12 Metre
Distance of the foot of the ladder to the wall will be the base.
Let base be B.
Now, Hypotenuse ² = Base ² + Height ²
Or, 13² = B² + 12²
Or, B² = 13² – 12²
Or, B² = 169 – 144
Or, B² = 25
Or, B = √25
Or, B = 5 Metre
Hence, the distance of the foot of the ladder from the wall is 5 metre apart.
Related Questions
IF you add 6 tens of thousands, 5 thousands and 3 hundreds together what is the value of the largest digit of the answer?
Answers
Answer:
ten thousands place
Step-by-step explanation:
6 tens of thousands = 60,000
5 thousands= 5,000
3 hundreds= 300
60,000
+ 5,000
+ 300
65,300
Leigh-Mari walks 10 kilometres to a waterfall at an
average speed of 3 kilometres per hour.
(a) Write down, in terms of r, the time taken in hours.
(b) Leigh-Mari returns from the waterfall but this time she
walks the 10 kilometres at an average speed of (x+1)
kilometres per hour. The time of the return journey is
30 minutes less than the time of the first journey. Write
an equation in x and show that it simplifies to
2 + 1 - 20 = 0.
(c) Solve the equation x2 + - 20 = 0.
(d) Find the time Leigh-Mari takes to walk to the waterfall,
Answers
Answer:
immma send you the link friend me on hereStep-by-step explanation:
What is 7.936 rounded to the hundredths place
Answers
Answer:
7.94 is your answer
Step-by-step explanation:
......
algebra 1
what's the simplified form of (3s^2-2s+1)/(s^2-s+2)
Answers
Answer:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
STEP
2
:
3s2 - 2s + 1
Simplify ————————————
s2 - s + 2
Trying to factor by splitting the middle term
2.1 Factoring 3s2 - 2s + 1
The first term is, 3s2 its coefficient is 3 .
The middle term is, -2s its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 3 • 1 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
6x - 4y = 38
x + y = 5
Answers
Answer: y= -4/5 and x= 29/5
Step-by-step explanation:
From eqn2 , x= 5-y. Thus substituting in eqn1 will give
6(5-y)-4y=38
30-6y-4y=38
30-10y=38
-10y=38-30
-10y= 8
y=8/-10---> y= -4/5
Substituting y in eqn2 we have
x+(-4/5)=5
x=5+4/5
x=29/5
2) determine the length of the hypotenuse from the picture
A) 21 cm
B) 28 cm
C) 35 cm
D) 49 cm
Dont put the answer
In a link
Answers
Help !!!!!!!!! !!!!!!!!!!!!
Answers
Answer:
28
Step-by-step explanation:
Add up the angles of the ones given so
40 + 112 = 152 and then subtract by 180 to get the missing angle: 180 - 152 = 28
I hope this helped!
Answer:
28°
Step-by-step explanation:
40° + 112 ° + angleCBA =180
152°+ angleCBA= 180
angle CBA=180° - 152°
angle CBA= 28°
Finding probability
Answers
Answer:
6/8??
Step-by-step explanation:
I am a little confused with the question but i believe its 6/8
solve the system of equations x-y=-14 and 5x+7y=-10 by combining the equations.
Answers
Answer:
x+y=-4
Step-by-step explanation:
you need to solve this using elimination!
add both equations to each other:
x-y=-14
5x+7y=-10
the answer would be
6x+6y=-24
to go further,
it would be....
x+y=-4
because you can divide both sides by 6
hope this helped <33333
What is the volume of the right rectangular prism, in cubic centimeters?
Answers
Answer:
108 units
Step-by-step explanation:
Volume = length × width × height
V = 4 × 3 × 9
V = 108 units
Decide whether the triangle can be proven congruent I need help
Answers
Answer:
I think AAS can be used
Step-by-step explanation:
Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the following formula to find the volume: (3.14) (12) V = (3.14) (1728) (5425.92) V=7234.56 cubic inches Emily's answer is incorrect. What did she do wrong? She used the formula for a cylinder instead of the formula for a sphere She used the formula for a sphere instead of the formula for a cone. Multiplying (314)(1728) does not equal 5425.92. She used the beach ball's diameter when she should have used the radius
Answers
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
Solve for x: help me
Answers
Answer:
[tex]8x - 4 = 60 \\ 8x = 64 \\ x = 8[/tex]
Answer:
8
Step-by-step explanation:
8x-4=60
The following frequency table shows the observed high temperatures in Buffalo, New York, in May 2007.
Which interval contains the median temperature?
A.)50 - 59
B.)60 - 69
C.)70 - 79
D.)80 - 89
Answers
B)60-69
I guess option B is correct as it's frequency is higher
Answer:
answer is B. 60-69
Step-by-step explanation:
because I said so?
-Cuántos números 2 veras si cuentas de del 10 al 22?
Answers
Answer:
12
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and
determine the common difference / ratio in simplest form.
1,3,5...
This is
sequence and the
is equal to
Answers
Answer:
arithmetic
Step-by-step explanation:
geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time
Answer:
This is an arithmetic sequence and the common difference is equal to 2.
An interior designer made a scale model of a room. Each 1 inch in the model represented 12 feet in the actual 1 room. If the length of a hall was 2 inches in the model, what was the actual length of the hall?
Answers
Answer:
Step-by-step explanation:
Jxjcjja
If 9:3 is equal to 3:1 and then what is 12:4 equal to ?
Answers
Answer:
36:12 or 3:1
Step-by-step explanation:
12:4= 36: 12
or 12:4 simplify= 3:1
hope it helps
Gabrielle's age is three times Mikhail's age. The sum of their ages is 80. What is Mikhail's age?
Answers
Answer:
Mikhail is 20 years old
Step-by-step explanation:
80 = Mikhail + Gabrielle
Gabrielle is 60 years old
Mikhail is 20 years old
20 * 3 = 60
20 + 60 = 80
Can someone answer this
Answers
jim grant. can you answer my question too?
Answer:
54
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = 81 ← value of y from table for x = 4
f(a) = f(3) = 27 ← value of y from table for x = 3
average rate of change = [tex]\frac{81-27}{4-3}[/tex] = 54
what's the answer dhdhdizdjskxi
Answers
Answer:
138 ft for the area in the proposed design of the green section.
To find the area of the whole shape, you gotta divide it into polygons. So, you find the area of the big rectangle at the bottom first: 18 x 7 = 126. That's the area of the big rectangle.
Then, you find the area of the little square on top. 4 x 4 - 16, that's the area. Then, you gotta add those two together: 126 + 16. The total area is 142 square feet.
True or false
You always have to use x and y as your variables when writing
equations for word problems.
Answers
Answer:
false
Step-by-step explanation:
you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something
16x³-128y³
pls answer fast
Answers
Answer:
16x³-128y³
2((2x)³-(4y)³)
2(2x-4y)(4x²+8xy+16y²)
2×2×4(x-2y)(x²+2xy+4y²)
16(x-2y)(x²+2xy+4y²)
is your answer in factor form.
The required factor is given by 16(x-2y)(x²+2xy+4y²)
factors can be defined as the the numbers that multiply to give that number.
Factorization
It follow the
a^3-b^3 = (a-b)(a^2+ab+b^2)
[tex]16x^3-128y^3\\16(x^3-(2y)^3)\\16(x-2y)(x^2+2xy+4y^2)[/tex]
Thus the required factor is given by 16(x-2y)(x²+2xy+4y²).
Learn more about factors here:
https://brainly.com/question/24182713
#SPJ2
twice a number divided by 3
Answers
Answer:
3/4
Step-by-step explanation:
A light bulb manufacturer randomly checks light bulbs. Of 1,000 light bulbs checked, 30 light bulbs are defective. How many light bulbs will most likely be defective in a batch of 3,500?
A. 60
B. 105
C. 120
D. 180
Answers
Answer:
105
Step-by-step explanation:
(30/1000) * 3500 = 105
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answers
Answer:
The answers are A and D
Step-by-step explanation:
2/6 simplified is 1/3 and none of the other choices are equal to 1/3, so the answers are A and D.
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Answers
Answer:
[tex]AD/ED=AB/CB[/tex][tex]15/x=9/3[/tex][tex]45/9=9x/9[/tex][tex]x=5[/tex]----------------------
hope it helps...
have a great day!!
Answer:
x=5
Step-by-step explanation:
Who can answer this ( see image).
Answers
9514 1404 393
Answer:
042
Step-by-step explanation:
The first clue tells you the possibilities are ...
6__, _8_, or __2
The second clue eliminates 6__ and tells you the possibilities are ...
18_, _81, 1_2, 48_, _42
The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.
042 is consistent with the last 2 clues.
The 3-digit key is 042.
need help now! (probibility)
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?
Answers
Answer:
36%, I'm fairly certian
Step-by-step explanation:
A. 90%
B. 60%
C. 30%
D. 36%
D. makes the most sense to me
The probability of going to the amusement park will be 60%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:-
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park.The probability will be calculated as:-
[tex]P|A|B|=\dfrac{P(A\cap B)}{P(B)}\\\\\\P|A|B|=\dfrac{0.6\times 0.9}{0.9}=0.6=60\%[/tex]
Therefore probability of going to the amusement park will be 60%.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
In ΔXYZ, ∠Y=90° and ∠X=40°. ∠ZWY=51° and XW=600. Find the length of ZY to the nearest integer.
Answers
The image of the triangle is missing so i have attached it.
Answer:
ZY ≈ 391
Step-by-step explanation:
From the attached image, ∠WZY = 180 - (51 + 90) = 39°. Because ΔWYZ is a right angle triangle and sum of angle in a triangle = 180°
Now, similarly ∠XZY = 180 - (40 + 90) = 50°
Using sine rule, we can find WZ;
WZ/sin 40 = XW/sin 50
We are given XW = 600
Thus;
WZ = (600 × sin 40)/sin 50
WZ = 503.5
Now, ZY can be found using trigonometric ratios;
ZY/WZ = sin 51°
Thus;
ZY = 503.5 × sin 51
ZY ≈ 391