Answer: 0.4%
Step-by-step explanation:
First, a porportion needs to be set up.
part/whole = percent/100
28/7,000 = x/100
Second, cross multiply.
2800=7,000x
x=0.4
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.
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
What is the measure of ACB in O below?
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
Work out the size of angle x
Pls help thx !
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
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
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)
If 6 −8p = 38, then p=
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:)
a circle has a diameter of 4.5 inches what is the circumference
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
HELPPPPP
a) -3 x 4 - (-9) ÷3
b) 15 - 2(-8 +-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?
Answer: The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
first answer gets most brainley
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:
Bab needs help please!
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
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.
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
find the difference between the greatest and the least number of 7 digit formed by 6250 8 4 and 1
Answer:
8,654,210 and 1,024,568
Step-by-step explanation:
biggest number to smallest
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
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
A line and its translated image are parallel because the distance between corresponding points of a figure and its translated image is the same at every point. How could you use that information to show that parallel lines have the same slope?
Answer:
Top right
Step-by-step explanation:
I did it before
Answer:
TOP RIGHT
Step-by-step explanation:
:)
what do you call tha tool that can be used to collect data?__________
Answer:
pendrive, memory, chip
Can someone please help me I don’t understand this at all
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!
the choices are
[tex] \frac{4}{25} [/tex]
[tex] - \frac{2}{5} [/tex]
[tex] - \frac{4}{25} [/tex]
[tex] \frac{2}{5} [/tex]
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!!
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?
Answer:
36
Step-by-step explanation:
6 x 6
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?
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
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?
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
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?
Please help. Explain as well
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! :)
circumference of a circle
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 :)
If using the method of completing the square to solve the quadratic equation
x2 + 7x + 10 = 0, which number would have to be added to "complete the
square"?
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
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
Answer:
The answer is B) John earns $14.00 for two hours of work.
how do i solve this x^2 −12x+36=0
Step-by-step explanation:
x^2-6x-6x+36=0
x(x-6)-6(x-6)=0
(x-6)(x-6)=0
x=6
The third term in a sequence is 25. The fifth term is 225. What are the possible values of the 4th term of the sequence if it is arithmetic? If it is geometric?
Answer:
if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)
where n is the number of term.
the 4th term is 125
if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)
where n is the number of term
the 4th term is 75
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
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
Please someone help quickly!!!
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
what is what is 2000 * 3000
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!