How high is the end of a 70 foot ramp when it is tipped to an angle of 45 degrees?
Answers
Answer:
35[tex]\sqrt{2}[/tex]
Step-by-step explanation:
This scenario can be represented and solved by drawing a triangle. The hypotenuse of the triangle represents the ramp which has a length of 70 feet. The angle between the hypotenuse and the leg of the triangle that is parallel to the ground is 45 degrees. Since we know that this is a right triangle, we can conclude that this is a 45-45-90 degree right triangle. We can use the ratios of the sides of special right triangles to solve the problem from here. We know that the two sides and the hypotenuse of a 45-45-90 triangle can be represented as x, x, and x[tex]\sqrt{2}[/tex] respectively. This means that the hypotenuse of 70 feet is equal to x
Then we solve the following equation:
x[tex]\sqrt{2}[/tex] = 70
x = [tex]\frac{70}{\sqrt{2} }[/tex]
x = [tex]\frac{70}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }[/tex]
x = [tex]\frac{70\sqrt{2} }{\sqrt{4} }[/tex]
x = [tex]\frac{70\sqrt{2} }{2}[/tex]
x = [tex]35\sqrt{2}[/tex]
This means that each side of the triangle has a length of [tex]35\sqrt{2}[/tex] so that is also the height of the end of the ramp from the ground.
Related Questions
A garden that is 14 feet by 17 feet will have a pedestrian pathway on the border, making the combined area of the garden and the border 311 square feet what is the width of the pathway
Answers
Answer:
The width of the pathway is 5.2 feet
Step-by-step explanation:
Given that the shape of the garden and the walkway is a rectangle, the walkway would have the same length as the garden but would have it's own width.
Let the width of the garden be W and that of the walkway be t while the length of both the garden and walkway is L. The combined area A
= L( W + t)
Given that the combined area of the garden and the border 311 square feet while the garden is 14 feet by 17 feet
311 = 14 (17 + t)
311 = 238 + 14t
collect like terms
14t = 311 - 238
14t = 73
t = 73/14
= 5.2 feet
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.
Answers
Answer : The ladder will reach 20.6 feet.
Explanation:
Refer the image attached for explanation
The ladder will reach a height of 20.6 feet
The given parameters are:
Length = 45-footHeight = 27 feetStart by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem
[tex]45^2 = 27^2 +d^2[/tex]
Collect like terms
[tex]d^2= 45^2 -27^2[/tex]
[tex]d^2= 1296[/tex]
Take square roots of both sides
[tex]d= 36[/tex]
When the ladder is moved 4 feet farther, the new distance becomes
[tex]d= 36+4[/tex]
[tex]d= 40[/tex]
The new height (h) of the ladder is then calculated using the following Pythagoras theorem
[tex]45^2=40^2 + h^2[/tex]
Collect like terms
[tex]h^2 = 45^2-40^2[/tex]
[tex]h^2 = 425[/tex]
Take the square roots of both sides
[tex]h = 20.6[/tex]
Hence, the ladder will reach a height of 20.6 feet
Read more about Pythagoras theorem at:
https://brainly.com/question/654982
find the difference between the greatest and the least number of 7 digit formed by 6250 8 4 and 1
Answers
Answer:
8,654,210 and 1,024,568
Step-by-step explanation:
biggest number to smallest
Find the value of F
Answers
Answer:
f = 13[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given that f and e are congruent then e = f
Using Pythagoras' identity in the right triangle
f² + e² = 26² , that is
f² + f² = 676
2f² = 676 ( divide both sides by 2 )
f² = 338 ( take the square root of both sides )
f = [tex]\sqrt{338}[/tex] = [tex]\sqrt{169(2)}[/tex] = 13[tex]\sqrt{2}[/tex] ≈ 18.4 ( to 1 dec. place )
Answer:
f = 25.85751233
Step-by-step explanation:
f^2+E^2=26^2
Work out the size of angle x
Pls help thx !
Answers
Answer:
83
Step-by-step explanation:
not sure tho____________
Answer:
83 degrees
Step-by-step explanation:
The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so
43 + x = 126
x = 83 degrees
Second way
exterior angle + inner angle = 180
126 + inner angle = 180
inner angle = 54
the sum of the inner angles of a triangle is 180 degrees
54 + 43 + x = 180
97 + x = 180
x = 83 degrees
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?
Answers
Answer:
The mass of the object will be "25 kg".
Step-by-step explanation:
Given that,
Mass,
m = 15 kg
Acceleration,
a = 5 m/s²
Now,
The force will be:
⇒ [tex]F = ma[/tex]
[tex]=15\times 5[/tex]
[tex]=75 \ N[/tex]
When, acceleration (a) = 3 m/s²
⇒ [tex]F = ma[/tex]
or,
⇒ [tex]m=\frac{F}{a}[/tex]
[tex]=\frac{75}{3}[/tex]
[tex]=25 \ kg[/tex]
a circle has a diameter of 4.5 inches what is the circumference
Answers
Answer:
c = 4.5π inches exact answer
c = 14.13 inches decimal approximation
Step-by-step explanation:
c = πd
c = 4.5π exact answer
using 3.14 for π
c = 3.14 * 4.5
c = 14.13 decimal approximation
En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?
Answers
Answer:
36
Step-by-step explanation:
6 x 6
the choices are
[tex] \frac{4}{25} [/tex]
[tex] - \frac{2}{5} [/tex]
[tex] - \frac{4}{25} [/tex]
[tex] \frac{2}{5} [/tex]
Answers
Answer:
option b) -2/5
Step-by-step explanation:
Using the rule :
[tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]
[tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]
[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]
Answer:
[tex]\sqrt[3]{-\frac{8}{125} }[/tex]
[tex]-\sqrt[3]{2^3} /\sqrt[3]{5^3}[/tex][tex]-2/\sqrt[3]{5^3}[/tex][tex]-\frac{2}{5}[/tex]So, your answer is B) - 2/5
-----------------------------
hope it helps...
have a great day!!
2 points
4] The spinner below is cut unevenly. The probability of spinning a 1 or 4
are equal. The probability of spinning a 3 is 1/2 of spinning a 2. What is the
probability of spinning an odd number if the probability of spinning a 2 is
16%? Type in a numerical value in percent form with the % symbol (no
spaces). For example: 1%*
Answers
Answer:
Probability of spinning an odd number is 84%
Step-by-step explanation:
The probability of spinning a 1 or 4 is equal. Let this probability be X
Probability of spinning a 2 is 1/16
Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%
Sum of spinning 1,2,3 and 4 is equal to 100%
X + 16% + X + 8% = 100
2X = 100 - 16-8
X = 76%
Probability of spinning an odd number i.e one and 3 is
76% + 8% = 84%
HELPPPPP
a) -3 x 4 - (-9) ÷3
b) 15 - 2(-8 +-7)
Answers
b)45
Hope this helps
Use the unit circle to find sin 90 degrees a. 1 c. -1 b. 0 d. Undefined Please select the best answer from the choices provided A B C
Answers
Answer:
sin of 90 is 1
Step-by-step explanation:
sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)
Can someone please help me I don’t understand this at all
Answers
Answer:
140.3 ft³
Step-by-step explanation:
Volume of cylinder = πr²h
= π x 1.5² x 4
= 28.3 ft³
P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft
Volume of cuboid = lwh
= 7 x 4 x 4
= 112 ft³
Total volume = 112 + 28.3 = 140.3
Hope this helps!
What is the measure of EFG?
A. 88°
B. 176°
C. 184
D. 272°
Answers
Please someone help quickly!!!
Answers
Answer:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
Step-by-step explanation:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
PLS HELP ASAP
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answers
Answer: The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
Please help. Explain as well
Answers
Answer:
Angle 1 is 105°
Angle 2 is 75°
Step-by-step explanation:
Angle 2 is the same angle as angle 6 which is 75°
Angle 1 can be found by subtracting 75° (angle 2) from 180° which is the angle of a straight line. Which equals 105°.
Hope this helps! :)
Alexis and Mariana are hiking. Alexis climbs to the
top of a ridge 417 feet above sea level. Mariana goes to
the bottom of a valley, 30 feet below sea level. What is
the vertical distance between Alexis and Mariana?
Answers
Answer:
447 ft
Step-by-step explanation:
Add 417 and 30 together. That will give you the total direct distance between the two. 417+30=447
If 6 −8p = 38, then p=
Answers
Hey there!
6 - 8p = 38
SIMPLIFY EACH SIDES of the EQUATION
-8p + 6 = 38
SUBTRACT 6 to BOTH SIDES
-8p + 6 - 6 = 38 - 8
KEEP: 6 - 6 because that gives you 0
KEEP: 38 - 6 because that helps you solve for your p-value
38 - 6 = 32
NEW EQUATION: -8p = 32
DIVIDE -8 to BOTH SIDES
-8p/-8 = 32/-8
CANCEL out: -8/-8 because that gives you 1
KEEP: 32/-8 because it helps solve for the p-value
NEW and TEMPORARY EQUATION:
p = 32/-8
-4 = 32/-8
32/-2 = -4
Therefore you answer is: p = -4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
Answers
Answer:
3(x-3)/4-1/2=2/3
The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...
Step-by-step explanation:
4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12
In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.
Answers
Answer:
29 feets 3 inches
Step-by-step explanation:
We need to obtain the actual height of oak tree :
Converting measurement to inches :.
1 Feet = 12 inches
Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in
Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in
Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in
Let actual tree height = TH
Using the relation :
SA / SS = TH / TS
70 / 90 = TH / 891
Cross multiply :
90 * TH = 891 * 70
TH = (891 * 70) / 90
TH = 693 inches
Height of house = 28ft 6 in = (28*12 + 6) = 342 in
Height difference :
(693 - 342) in = 351 inches
351 in / 12 = 29 feets 3 inches
first answer gets most brainley
Answers
Answer:
What are we supposed to do on this
Step-by-step explanation:
Answer: the dilated point will be 2 units at the right of P, and 3 units above P.
Step-by-step explanation:
PLEASE HELP ME!!!
Jennifer's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $2 to buy the supplies to make a fork and $1.20 to buy the supplies to make a spoon. The store sells forks for $6 and spoons for $5.50. Last April Jennifer's Custom Kitchen Supplies spent $27.60 on materials for forks and spoons. They sold the finished products for a total of $98. How many forks and how many spoons did they make last April?
Answers
Answer:
8 spoons and 9 forks
Step-by-step explanation:
2 F + 1.2S = 27.60
6 F + 5.5S = 98
solve system of equations
f for forks and s for spoons
2f+1.2s=27.60
-1.2s -1.2s
____________
2f = 27.60-1.2s
____________ = f=13.8-.06s
2
substitute 13.8-0.6s for f
6(13.8-0.6s)+5.5s=98
82.8-3.6s+5.5s=98
82.8+1.9s=98
-82.8 -82.8
_____________
1.9s = 15.2
___________ = s=8
1.9
Bab needs help please!
Answers
Answer:
282.6 in³
Step-by-step explanation:
Volume = area circle * height
Area circle = πr²
Area circle = 3.14 * 9 = 28.26
28.26 * 10 = 282.6 in³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Step by step explanation:
Because I said so
What does point B represent on the graph? A) John earns $14.00 each hour. B) John earns $14.00 for two hours of work. C) John earns $7.00 for two hours of work D) John earns $7.00 for four hours of work
Answers
Answer:
The answer is B) John earns $14.00 for two hours of work.
A bat costs $11,856 and decreases in
value by 10% per year what is the range for
this situation and how much will to bout me
worth after 8 years?
Answers
11,856(.43)
F(x)=5,098.08 or 5,098.1 when rounded to the nearest tenth
circumference of a circle
Answers
Answer:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Step-by-step explanation:
Answer:
Step-by-step explanation:
the straight sides are just 4.5 *2 = 9 cm
the arcs are 2[tex]\pi[/tex]r * Ф/360
where Ф= 50 for this problem
and r = 8
the inner arc is 2[tex]\pi[/tex](3.5) *50/360 = 3.05432
the outer arc is 2[tex]\pi[/tex](8)*50/360 = 6.98131
total is 19.0356
to 3 sig figs is 19.036 :)
what is what is 2000 * 3000
Answers
Answer:
600,000
Step-by-step explanation:
Answer:
6,000,000
Step-by-step explanation:
Simply put: Multiply 2 • 3
Then add the zeros, there are 6 zeros total, so just add them to the 6. boom! 6,000,000. Or just use a calculator ;)
Hope this helps!
how do i solve this x^2 −12x+36=0
Answers
Step-by-step explanation:
x^2-6x-6x+36=0
x(x-6)-6(x-6)=0
(x-6)(x-6)=0
x=6
What is the measure of ACB in O below?
Answers
Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A