Answer:
the ladder will be unstable because it is 18.33ft from the bottom of the building
Use this calculator for problems like this
https://www.calculator.net/triangle-calculator.html
The length of the base is 18.33 feet greater than 15 feet then the ladder will be unstable.
What is a Pythagorean theorem?Pythagorean theorem states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
Given that a 20-foot ladder is placed against a building and must just reach a window that is 8 feet of the level ground the latter will be unstable if the base is more than 15 feet from the bottom of the building.
Calculate the base of the triangle by using the Pythagorean theorem:-
H² = P² + B²
B² = H² - P²
B² = 20² - 8²
B = √( 400 - 64 )
B = √336 = 18.33 feet
Therefore, the length of the base is 18.33 feet greater than 15 feet then the ladder will be unstable.
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
#SPJ2
The floor of a rectangular cage has a length 4 feet greater than its width, w. James
will increase both dimensions of the floor by 2 feet. Which equation represents the
new area, N, of the floor of the cage?
Answer:
x² + 8x + 12
Step-by-step explanation:
Area of a rectangle = length × width
Original dimensions:
Width = x
Length = x + 4
James will increase both dimensions of the floor by 2 feet
New dimensions:
Width = x + 2
Length = x + 4 + 2
= x + 6
Area of the new rectangle = length × width
= (x + 2) × (x + 6)
= x² + 6x + 2x + 12
= x² + 8x + 12
Equation which represents the
new area, N, of the floor of the cage = x² + 8x + 12
Explain why the graph shown may be misleading.
Answer:
size of the cars
Step-by-step explanation:
if you were to look at it you would see all of the cars are the same length
Ming is making cookies, and hehas 10 eggs in his refrigerator to make 30 cookies hiis recipe requires 3 eggs. Using this recipe, how many more eggs will he need to buy to make120 cookies?
Answer:
your answer is 12 eggs
Step-by-step explanation:
divide the cookies and the eggs.
30 divided by 3 is 10
thats how many cookies you can make with one egg.
now divide 120 by 10
your answer is 12 eggs
1. A 10-foot long ladder leans against a vertical wall such that its base is 4 feet
from the bottom of the wall. Determine, to the nearest tenth of a foot, how high,
h, the ladder reaches up the wall.
Answer:
9.2
Step-by-step explanation:
follow the equation for the hypotenuse of a right triangle.
a^2+b^2=c^2
4^2+b^2=10^2
16+b^2=100
b^2=100-16
b^2=84
b=9.2
Answer:
The answer is 9.2. Hope this helps.
A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion of SUVs that are sold at stores A and B. The owner gathers the sales records for each store from the past year. A random sample of 55 receipts from store A shows that 30 of the sales were for SUVs. Another random sample of 60 receipts from store B shows that 42 of the sales were for SUVs. Assuming conditions for inference are met, what is the 99% confidence interval for the difference in proportions of sales that are SUVs
Answer:
confidence interval = ( -0.38 , 0.08 )
Step-by-step explanation:
Given data :
n1 = 55 , n2 = 60 ,
Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55
P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70
The Z-value at 99% confidence Interval = 2.58
Determine the 99% confidence interval for difference in proportion
applying the formula below
( P1 - P2 ) ± Z ( [tex]\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}[/tex]
Input values above into equation
confidence interval = ( -0.38 , 0.08 )
Find the circumference of the circle using C = pi•D
Answer:
The correct answer is the third choice, 14 pi.
The choice you selected is wrong.
Circumference = πD
= diameter is 14, so its 14π
Question 2 of 40
Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North
market
South
market
Cherries
0.8
0.65
Asparagus
0.55
0.6
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
To maximize the chances of buying cherries as well as asparagus, Elena should choose the North market. There is 0.44 probability of both cherries and asparagus.
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes,
n(S) is the total number of events in the sample space.
What are independent events?"These are two events wherein the occurrence of one event does not affect the occurrence of another event"
Probability of independent events:If A, B are independent events then their combine probability is given by,
P(A ∩ B) = P(A) × P(B)
For given example,
Let P(A) represents the probability of cherries available at market and P(B) represents the probability of asparagus available at market.
The availability of cherries and the availability of asparagus are
independent of each other
So, the probability of buying cherries as well as asparagus from the North market would be,
⇒ P = P(A) × P(B)
⇒ P = 0.8 × 0.55
⇒ P = 0.44 ....................(1)
And the probability of buying cherries as well as asparagus from the South market would be,
⇒ P = P(A) × P(B)
⇒ P = 0.65 × 0.6
⇒ P = 0.39 .......................(2)
From (1) and (2),
To maximize the chances of buying cherries as well as asparagus, Elena should choose the North market. There is 0.44 probability of both cherries and asparagus.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
Help ASAP please !! No scam I really need this ❤️
Trigonometry dilation
Answer:
Point E
Step-by-step explanation:
Notice that point E is the only point where you can draw a straight line from E to A' to A, E to B' to B, etc. That is, the line doesn't have to turn or bend to reach these three points. This doesn't work with any other point, so you know E is the point of dilation.
You can more firmly determine this by looking at the ratios of the distances. Notice how E is the only point where the ratio from of E to A and E to A' is equal to the ratio from of E to B and E to B', and so on for each vertex of the quadrilateral.
Marking brainliest
What human right is based on race? Im doing a research essay and I will talk about how Georgie Floyd’s rights were violated but I don’t know what human right to use
Answer:
Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more. Everyone is entitled to these rights, without discrimination.
Step-by-step explanation:
these are the 5 basic rights, most of them were taken for george floyd
hope this helped
PLSSS HELPPP!!!
i don’t know
Answer:
Volume of a sphere is 4/3(pi r ^3)
You were given d = 10 so r = 5
which of the following is most likely to be the number of times a 1 is rolled out of 500 rolls
80
200
30
Find the value of x and y of the equilateral triangle
Answer:
x = 12
y = 30
Step-by-step explanation:
We know:
All sides of equilateral triangle are equal:
= > 3 x + 8 = 4 x - 4
= > 8 + 4 = 4 x - 3 x
= > x = 12
Also, we know all angles of equilateral triangle is 60. And their sum is 180.
= > 2 y = 60
= > y = 30
Hence we get required answer!
Tim left a $4 tip on a $20
bill. What percent tip did he leave?
Answer:
20%
Step-by-step explanation:
Divide 4 (tip) by 20 (total bill) and you get 20 percent.
Answer:
20% tip
Step-by-step explanation:
4/20 = 0.2
Convert to a percentage:
0.2*100 = 20%
y=x
2
+3x+2 & y=4x+4
Answer:
Step-by-step explanation:pho;np9yil.gboil k,
Which graph represents the function f ( x ) = x 2 − 2 x + 1 ?
Answer:
second one :D
Step-by-step explanation:
Veronica bought a house. Her property taxes are $2080 per year and she also needs to
pay $800 per year for homeowner's insurance. What is the monthly amount she needs
to budget to her monthly mortgage payment?
WILL GIVE BRAINLIEST NO LINKS ANSWER ASAP
a taste test asks people from Texas and California which pasta they prefer brand a or brand b this table shows the results a person is randomly selected from those tested what is the probability that the person is from Texas given that the person prefers brand a
0.62
0.47
0.45
0.64
Answer: 0.47
Step-by-step explanation: i just took the quiz
If 75% of a number is 300 and 20% of the same number is 80, find 95% of that number.
Answer:
380
Step-by-step explanation:
380/400 is 95%
A piece of string 85 cm is divided into three pieces in the ratio 2 : 3: 5. Calculate: i) shortest piece
Answer: 17 cm
Step-by-step explanation:
First step is to add up the numbers in the ratio:
= 2 + 3 + 5
= 10
The shortest piece according to the ratio is the 2 in the ratio. To find out the length this 2 corresponds with, use two as the numerator and 10 as the denominator:
= 2 / 10 * 85 cm
= 17 cm
Raheem is considering two different layouts for a new garden. He needs to put a length of fence around whichever layout he chooses.
Answer: c
Step-by-step explanation: layout B needs about 2.3m more fencing.
Answer:
C
Step-by-step explanation:
a group of 4 friends shares 2 packs of gum equally? there are 8 pieces of gum in each pack. which set of equations shows how many pieces of gum, g each friend recieves?
Guys please help on this I barely understand it
the answer is 56 degrees
looking at the triangle you can identify it as a right triangle by the square at the top right corner. all right triangles have at least one 90 degree angle, which is what that square marks. the question also gives you the measurement of the second angle wich is 34 degrees. all angles of a triangle have to add up to 180 degrees, so we can add 90 degrees and 34 degrees wich gives us the sum of 124. now if you subtract 124 from 180 you get 56, therefore, the angle x is 56 degrees.
The purpose of life insurance is to protect your car in case of an accident. O True. False.
Answer:
false
Step-by-step explanation:
The statement given is false information.
What is insurance?Insurance that pays out a sum of money either on the death of the insured person or after a set period.
Given is a statement about life insurance,
The main purpose of a life insurance, is to provide the financial help to the survivors family not to secure against an accident.
Hence, The given statement is false.
For more references on life insurance, click;
https://brainly.com/question/1400638
#SPJ2
I hope you can see the question, but please help me!?!
Answer:
the third one
Step-by-step explanation: tell me if im wrong so i can fix it and your welcome if its right
Answer:
B.
Step-by-step explanation:
The second one
PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF
Answer: I believe it's 6 5/8
Step-by-step explanation:
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
f(x) = -½x + 16
Step-by-step explanation:
Using two points in the line, (0, 16) and (4, 14), we can write an equation for the linear function in the slope-intercept form, f(x) = mx + b, by finding the slope (m) and the y-intercept (b), then substituting each of the value into f(x) = mx + b.
✔️Slope (m) = change in y/change in x
Using, (0, 16) and (4, 14),
Slope (m) = (14 - 16)/(4 - 0) = -2/4
m = -½
✔️y-intercept (b) would be the value of y when x = 0, or the point at which the y-axis is intercepted by the line.
Thus,
When x = 0, y = 16
Therefore,
b = 16
✅Write the equation of the function by substituting m = -½ and b = 16 into f(x) = mx + b
Thus:
f(x) = -½x + 16
Which of the following
E values would form a right
triangle?
A. 4, 7, 11
B. 5, 12, 13
C. 5, 10, 15
D. 8, 9, 12
Identify the area of a regular pentagon with side length 11 cm. Round to the nearest tenth.
Answer:208.2
Step-by-step explanation:
Answer:
208.2
Step-by-step explanation:
I got it right;)
Point A is located at (0,4) and point B is located at (-2, -3). Find the x value for the point that is 1/4 the distance firm point A to point B. -1.5 -2 -0.5 -1
Answer:
.25
Step-by-step explanation:
distance between 0,4 is 1. The distance between _2 and _3 is minus 5. X equals.
.25
Find the value of x. Round your answer to the nearest tenth
(Will give brainiest)
Answer:
Its 67.9 but technically its 67.912 *hope this helps
Step-by-step explanation:
Right scalene triangle.
Sides: a = 66 b = 16 c = 67.912
Area: T = 528
Perimeter: p = 149.912
Semiperimeter: s = 74.956
Angle ∠ A = α = 76.373° = 76°22'23″ = 1.333 rad
Angle ∠ B = β = 13.627° = 13°37'37″ = 0.238 rad
Angle ∠ C = γ = 90° = 1.571 rad
Height: ha = 16
Height: hb = 66
Height: hc = 15.55
Median: ma = 36.674
Median: mb = 66.483
Median: mc = 33.956
Inradius: r = 7.044
Circumradius: R = 33.956
Vertex coordinates: A[67.912; 0] B[0; 0] C[64.142; 15.55]
Centroid: CG[44.018; 5.183]
Coordinates of the circumscribed circle: U[33.956; 0]
Coordinates of the inscribed circle: I[58.956; 7.044]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 103.627° = 103°37'37″ = 1.333 rad
∠ B' = β' = 166.373° = 166°22'23″ = 0.238 rad
∠ C' = γ' = 90° = 1.571 rad