A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?
Answers
Answer:
One end of the ladder rests at 8 feet on the wall.
Step-by-step explanation:
In the figure attached,
AC is a ladder 10 feet long leaning against the wall.
Distance of it's one end from the wall = 6 feet
Let the ladder rests on the wall at the height = h feet
By applying Pythagoras theorem in ΔABC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
(10)² = h² + 6²
h² = 100 - 36
h = √64
h = 8 feet
Therefore, one end of the ladder rests at 8 feet on the wall.
Related Questions
The distance between two parks on a city map is 1.8 inches. The actual distance between Parks is 2 miles. In the same city, the distance from the library to the post office 0.8 mile
Answers
Answer:
0.72 inch on the map.
Step-by-step explanation:
[tex]\frac{1.8}{2} =\frac{x}{0.8}\\x=0.9 \times 0.8=0.72 ~inch[/tex]
What is the area of the figure shown in the picture?
Answers
Answer:
69.82in^2
Step-by-step explanation:
Rectangle
[tex]A=lw\\=5*12\\=60in^2[/tex]
Semicircle
[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 2.5^2\\=9.82in^2[/tex]
Add altogether
60+9.82
=[tex]69.82in^2[/tex]
Express the ratio of A's to N's in the word BANANA, in simplest form.
A. 2:3
B. 3:2
C. 1:2
D. 2:1
Is it B.?
Answers
Answer:
There are 3 A's and 2 N's so the answer is B.
How does the graph of y = StartRoot x EndRoot + 2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.
Answers
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.
This question is based on the concept of graph .Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.
Given:
The function of graph is [tex]\bold{y=\sqrt{x+2}}[/tex].
Its parent square root function is [tex]\bold{f(x)= \sqrt{x}}[/tex].
By the parent function we have to obtain given function ,So,we have to add on both sides 2,
f(x)+2 = [tex]\sqrt{x+2}[/tex]
Thus, we have to added 2 to transform the parent root function into given function.Therefore, graph is shifted vertically 2 units up.
Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.
For further details, please refer this link:
https://brainly.com/question/12427224
Which set of angles could NOT form a triangle? A. three acute angles B. One right angle, two acute angles C. One right angle, one acute angle, one obtuse angle D. One obtuse angle, two acute angles
Answers
Answer:
C. One right angle, one acute angle, one obtuse angle
Step-by-step explanation:
A triangle is a closed geometrical figure. It is an enclosed figure with three sides and three angles. The sum of the angles of a triangle is 180°. A triangle can be formed with three acute angles. A triangle can be formed with one right angle and the other two being acute angles. A triangle can be formed with one obtuse angle and the other two being acute angles. A triangle cannot be formed with one right angle, one acute angle, one obtuse angle.
Determine the area of the rectangle.(Show all of your work)
Your answer
8 pd
Joe buys sneakers that normally cost $120.00. They are on sale for 30%
off. How much will one pair of sneakers cost, before tax?
Answers
the diameter of a circle is 9m. Find the circumference to the nearest tenth (urgent)
Answers
Answer:
Step-by-step explanation:
The answer is 28.27433, or 28.3!
Which figure is represented by the net shown below?
Answers
Answer:
WAY BELOW...
Step-by-step explanation:
So first look at the base. It is an octagon.
Look at the answers now. You can eliminate the ones that don't have triangles, and you have two pyramids. One has a hexagon base and one has a octagon base.
That's the answer.
Answer:
Hey!
Your answer is BELOW!!!
Step-by-step explanation:
HOPE THIS HELPS!!
pls help help me need help!!
Answers
Answer:
|-30| + |25|
Step-by-step explanation:
The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.
A. |-30| + |25| = 30 + 25 = 55
B. -30 - 25 = -55
C. -30 + 25 = -5
D. |-30| - |25| = 30 - 25 = 5
The correct expression is |-30| + |25| since it it the only expression that equals 55.
What is the product?
(negative 3 s + 2 t)(4 s minus t)
negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared
Answers
Answer:
[tex] \boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} } [/tex]
Step-by-step explanation:
[tex] = > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2} [/tex]
is a CR grade good or bad?
Answers
Simplify:
(3x3+5x2−9x−2)−(2x3+3x2−x−3)?
A. x3+8x2−8x+1
B. x3+8x2−10x−5
C. x3+2x2−8x+1
D. x3+2x2−10x+1
Answers
Step-by-step explanation:
Answer is;−
9
x
−
2
−
2
x
3
−
3
x
2
+
x
+
3
Simplify by adding terms.
Tap for more steps...
x
3
+
2
x
2
−
8
x
+
1
find the area of this figure
Answers
Answer: 49.12 ft²
Step-by-step explanation:
To find the area of this figure, we can separate it into 2 parts. We can find the area of the semi circle and the area of the triangle. Then we add together to areas.
Area of Triangle
A=bh/2
A=6(8)/2
A=48/2
A= 24 ft²
Area of Semi Circle
A=πr²/2 (Divide by 2 because semi circle is half of a circle, so we divide the area by 2)
A=π(4)²/2
A=(3.14)(16)/2
A=25.12 ft²
Total area
A=24+25.12=49.12 ft²
A sector has a central angle of 110° and an area of 11pi m squared. What is the arc length for this sector?
Answers
Answer:
(11/3)*pi
Step-by-step explanation:
what circle is how bigger?
360/110=36/11
11pi*(36/11)
36pi
radius is 6 (A=r^2*pi)(36 is 6^2)
circumference of a circle is 2pi*r
2pi*6
12pi
what fraction of the circumference is 110?
110/360=11/36
9132/36)*pi
(11/3)*pi
[Please help]~granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories. The equation 4c + 5 = 27 represents the relationship between these quantities. What could the 5 represent in this situation?
Answers
Answer: calories from other ingredients
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
4c + 5 = 27
27 = calories contained in a granola bite
Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.
So:
c = grams carbohydrates
4 = calories contained in 1 gram of carbohydrate
Since the sum of the product of the calories contained in 1 gram of carbohydrate (4) and the number of carbohydrates(c ); plus the calories from other ingredients is equal to the calories contained in a granola byte (27);
5 represents the calories from other ingredients
Feel free to ask for more if needed or if you did not understand something.
WILL MARK BRAINLIEST!!!!!!!!! Please fill out the chart and tell which last name belongs to who and which place they came in!
Answers
Answer:
See bolded below
Step-by-step explanation:
Our first clue is that Baker is a girl, as this person was referred to as a she. Now she claims to have been placed higher if she didn't eat that blueberry pie, which means she is not first place. Our second clue is that Patrick ranked higher than Davis but lower than Natalie. Patrick and Davis are first and last names, which means they do not go together. And of course Davis is lower than Natalie. Coaster's father was proud of her daughter's ability to eat so much pie, so Coaster must be a girl's last name. There are only two girls, Analee and Natalie, so Coaster should be one of their names. This girl Coaster must have ranked first place. Analee ranked lower than Adam. If this is true, it should be that Natalie is associated with Coaster, considering she is the only girl that could have ranked first place! Lastly, Conner didn't rank last place;
[tex]Baker - she, Baker - Not 1st\\Patrick \neq Davis, Patrick > Davis, Patrick < Natalie,\\Natalie Coaster - 1st Place,\\Analee Baker[/tex]
Thus, we can conclude the following;
Natalie Coaster - 1st Place,
Patrick Adams - 2nd Place,
Analee Baker - 3rd Place,
Connor Davis - 4th Place
The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?
The range of the function f(x) = 3x3 when its domain is {2, 5} is
Answers
Answer:
[tex]Range = [24, 375][/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^3[/tex]
[tex]Domain = [2,5][/tex]
Required
Find the Range
The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5
When x = 2;
f(2) is as follows;
[tex]f(2) = 3*2^3[/tex]
[tex]f(2) = 3 * 8[/tex]
[tex]f(2) = 24[/tex]
When x = 5;
f(5) is as follows;
[tex]f(5) = 3*5^3[/tex]
[tex]f(5) = 3 * 125[/tex]
[tex]f(5) = 375[/tex]
Hence, the range of the function is [24, 375]
The net of a solid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 4 inches. The base of the triangle is the side of the square. What is the surface area of the solid? WILL GET BRANLIEST! <3
Answers
Answer:
33 sq in
Step-by-step explanation:
Area of each triangular face is 1/2×3×4 = 6sq in
Hence total area of four(4) faces is 6×4 = 24sq in
Area of base is 3×3 = 9sq in
Hence Total area of pyramid is 24+9 = 33sq in
1. What is the solution to the compound inequality 85 < 17m <136?
a. 5 < m or m<8
b.5<m and m<8
c. 5 > mor m > 8
d. 5 >m and m > 8
Answers
Answer:
The answer is b.
Step-by-step explanation:
First separate it into two inequalities.
85<17m and 17m<136
For the first one,
Divide both sides by 17.
5<m
For the second one,
Divide both sides by 17.
m<8.
Therefore, 5<m and m<8. It is and not or because the compound inequality lists them together, not with an or separating it.
Hope this helped.
Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
The solution to the compound inequality [tex]85 < 17m < 136[/tex].
Now,divide both sides by [tex]17[/tex].
[tex]\frac{85}{17} < \frac{17m}{17} < \frac{136}{17}\\\\5 < m < 8[/tex]
Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)
To know more about the inequality
https://brainly.com/question/12679763
#SPJ2
Please help. 10 points. Identify the common difference OR common ratio, depending on whether the sequence below is arithmetic or geometric. Then use the appropriate formula to write a rule for the sequence. Finally, use the rule to find the tenth term in the sequence.
–15, –9, –3, 3, 9, ...
Answers
Answer:
hope this helps! please mark brainliest
Step-by-step explanation:
The COMMON DIFFERENCE is 6
so it's a arithmetic sequence.
The formula is an = a1 + (n-1)d
to find the 10th term: a10 = -15 + (10-1)6
the 10th term is 39
*a1 = the 1 is supposed to go underneath it but can't type it on computer
*an = the n is supposed to go underneath it also
what is -7/8- (-5/6) in simplest form
Answers
Answer:
-1 /24
Step-by-step explanation:
-7/8 - (-5/6)
Subtracting a negative is like adding
-7/8 + 5/6
Get a common denominator
-7/8 * 6/6 + 5/6 *8/8
-42/48 + 40/46
-2/48
-1/24
I will give brainiest answer
Answers
Answer:
≈ 64.43 cm²
Step-by-step explanation:
Subtract the area of the circle from the area of the rectangle.
area of rectangle = 7 × 11 = 77 cm²
area of circle = πr² = π × 2² = 4π cm²
Thus
area of shaded region = 77 - 4π ≈ 64.43 cm² ( to nearest hundredth )
Answer:
The answer might be 64.43 CM. I hope this helps. Please tell me if you get it right or wrong.
Step-by-step explanation:
if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 4 hours a day.
Answers
Answer:
it would take 8 days
Step-by-step explanation:
all all you have to do is divide 33.45 divided by 4
Answer:
4hrs =33hrs and 45/60
1 day= about 8 days and 1/2
Step-by-step explanation:
Draw rectangles such as the ones shown to find fraction equivalent to 2/5 and 1/3 that have the same denominator
Answers
Answer:
2/5: 1/3:
6/15 5/15
Step-by-step explanation:
Sorry I couldn't upload a photo for some reason. If you multiply 2/5 by 3 you'll get 6/15, and if you multiply 1/3 by 5 you will get 5/15. I really hope this helps, and yes, I double-checked, it is correct. Have a great day!!!
A baker needs between 40 lb and 50 lb of flour-sugar mixture that contains ten times as much flour as sugar. What are the possible
weights of flour the baker can use?
a. between 36.4 lb and 45.5 lb flour
38.9 lb and 39.7 lb flour
b. between 45.5 lb and 56.1 lb flour
d. 31.8 lb and 34.9 lb flour
C.
Answers
Answer:
A
Step-by-step explanation:
36.4 + 3.6 = 40
45.5+4.5 = 50
A line passes through (0, -1.8) and has a slope of 7. Write an
equation of the line.
1. y=7x-12.6 2. y=7x+12.6 3. y=7x-1.8 4. y=x+-1.8
Answers
Answer:
equation of a line= y-y¹=m(x-x¹)
y--1.8=7(x-0)
y+1.8=7x-0
y+1.8=7x
y=7x+1.8
Attention!
I have tons of math questions waited to be answer on my page check them out and get points!
Answers
Answer:
ok
Step-by-step explanation:
ok
Answer:
I will try but how many are there?
Step-by-step explanation:
Please help I need it done it is my last homework thank you...
Answers
Answer:
98%
Step-by-step explanation:
Percent means out of 100
49/50
Multiply the top and bottom by 2
49*2 = 98
------------
50*2 = 100
98/100
The percent is 98%
_________________________________
Hey!!
Solution,
49/50*100%
=98%
So the right answer is 98%
hope it helps..
Good luck on your assignment
_____________________________
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?
(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)
Answers
Answer:
Option C.
Step-by-step explanation:
The given table is
x f(x)
-4 0
-2 2
0 8
2 2
4 0
6 -2
A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.
From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).
Therefore, the correct option is C.
Answer:
it is c (-4,0), (4,0)
Step-by-step explanation:
How many dimes are in $25.00
Answers
Answer:
250 dimes
Step-by-step explanation:
Explanation: dime = 10 cents, and 100 cents = one dollar. Therefore, 10 cents (a dime) times 10 = a dollar, which is 100 cents. 100 times 25 dollars = 250. So, 250 dimes are in $25.
Hope this helps, please mark as brainliest!
