Answer:
2 m
Step-by-step explanation:
The model of the situation is a right triangle with legs 1.5 and h the height of the wall. The hypotenuse is the ladder.
Using Pythagoras' identity
h² + 1.5² = 2,5²
h² + 2.25 = 6.25 ( subtract 2.25 from both sides )
h² = 4 ( take the square root of both sides )
h = [tex]\sqrt{4}[/tex] = 2
The height of the wall is 2 m
The height of the wall od the building is, 2 m.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall.
So, Hypotenuse is 2.5 m and Adjacent is 1.5 m.
We know, H² = O² + A².
O² = H² - A².
O² = 6.25 - 2.25.
O² = 4.
O = 2.
Another concept regarding triangles is,
Suppose we have a triangle ABC, with sides a, b and c.
An acute angle triangle is one where a² + b² > c².
It is a right-angle triangle if a² + b² = c2.
It is an obtuse angle triangle if a² + b² < c².
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Which could be the graph of f(x) = |x -h| + k if h and k are both positive?
Step-by-step explanation:
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.
Answer:
A
Step-by-step explanation:
Just did it
5
4.)What function rule models the values in the table?
Х
4
8
12
16
Y
4.
8
12
16
20
a.) Y = -x + 4
b.)Y = x + 4
c.) Y = 4x + 4
Answer: 8
Step-by-step explanation: 4x4=0
There is a special offer at the book shop.
Ryan chooses 4 books that cost
£4.00
£3.80
£3.00
and £1.20
Special
offer
4 for the
price of 3.
Buy any 4 books and get
the cheapest one completely free!
What fraction of the normal total price does he save?
Choose the correct calculation.
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£1.20
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£4.00 + £3.80 + £3.00
x (£4.00 + £3.80 + £3.00 + £1.20)
price of 3Step-by-step explanation:
It wants me to use division, but sadly I am not getting the answers I want with it. Please help!
Answer:
a. 70 gallons of water were leaked each month.
Step-by-step explanation:
Set up an equation:
Variable x = gallons leaked each month
210/3 = x/1
Cross multiply:
210 × 1 = 3 × x
210 = 3x
Divide by 3 to isolate the variable:
70 = x
The division part is only 210 ÷ 3 = x. I wrote it down this way so you can see how I came to this equation.
Check your work:
210/3 = 70/1
210 × 1 = 3 × 70
210 = 210
Correct!
There are 271 songs on Amy's computer. She
wants to make playlists that have 9 songs
each. How many full playlists can she make?
Answer:
30
Step-by-step explanation:
You do 271 ÷9
= 30.11111111
The answer is your whole number (30)
Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint. The number fff of figurines left to paint is a function of ttt, the amount of time in minutes Colin spends painting.
Answer:
[tex]f(t) =-\frac{1}{20} t + 12[/tex]
Step-by-step explanation:
Given
[tex]t \to time[/tex]
[tex]f \to figurines[/tex]
Required
Determine the function
From the question, we have:
[tex]60\ minutes \to 9\ left[/tex]
This is represented as:
[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]
If he spends 20 minutes on 1 figurine;
[tex]20\ minutes = 1\ figurine[/tex]
Multiply both sides by 3
[tex]60\ minutes = 3\ figurines[/tex]
This means that, he spends 60 minutes on 3
plus he still has 9 left
So, the initial figurines is:
[tex]f(0) =3 + 9[/tex]
[tex]f(0) =12[/tex] or [tex](0,12)[/tex]
So, we have:
[tex](60,9)[/tex] and [tex](0,12)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12- 9}{0 -60}[/tex]
[tex]m = \frac{3}{ -60}[/tex]
[tex]m = -\frac{1}{20}[/tex]
The equation is then calculated as;
[tex]f(t) = m * t + c[/tex]
[tex]f(t) = -\frac{1}{20} * t + c[/tex]
[tex]f(t) = -\frac{1}{20}t + c[/tex]
To solve for c, we have:
[tex]f(60) = 9[/tex]
So, we have:
[tex]9 = -\frac{1}{20} * 60 + c[/tex]
[tex]9 = -3 + c[/tex]
Add 3 toboth sides
[tex]c =12[/tex]
Hence, the equation is:
[tex]f(t) =-\frac{1}{20} t + c[/tex]
[tex]f(t) =-\frac{1}{20} t + 12[/tex]
Answer:
f=-1/20t+12
Step-by-step explanation:
khan
What is the solution to the system of equations ?
Y=2/3 x + 3
X= -2
Answer:
5/3
Step-by-step explanation:
Answer:
x = -2, y = 5/3
Step-by-step explanation:
y = [tex]\frac{2}{3} x+3[/tex] x = -2
[tex]y=\frac{2}{3} (-2)+3[/tex]
[tex]-\frac{4}{3}[/tex] + 3 =
[tex]-1\frac{1}{3}[/tex] + 3 = [tex]\frac{5}{3}[/tex]
Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet.
If Emma’s model has a wingspan of 30 centimeters (cm), what is the length of the model?
Answer:
it should be either a or b
The value of log₃⁵ x log₂₅⁹ is...
Answer:
i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong
Find the area of the figure below
Answer:
521
Step-by-step explanation:
Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.
Answer: A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.
Step-by-step explanation:
Long-term capital gains are indeed from investments that have been held for more than a year as opposed to short term gains from investments of less than a year. This means that long term gains can come from investments such as stocks and bonds.
Long-term capital gains are taxed at a lower rate than short term gains with most long term gains being taxed at 15% or lower. This is in contrast to short-term gains that are taxed at the same rate as ordinary income which means it could go up to as high as 37%.
Answer: A
Step-by-step explanation:
Which of the following sets of numbers could not represent the three sides of a right triangle?
A) {15,20,25}
B) {30,40,50}
C) {33,44,55}
D) {5,12,14}
Answer:
D
Step-by-step explanation:
A^2+B^2=C^2
For A, 15^2(225)+20^2(200)=625, and 25^2=625
For B, 30^2(900)+40^2(1,600)=2,500, and 50^2=2,500
For C, 33^2(1,089)+44^2(1,936)=3,025, and 55^=3,025
But for D, 5^2(25)+12^2(144)=169, and 14^2=196, and 169 and 196 are not equal.
Evaluate 5(x-1)-2when x=3
Answer:
3
Step-by-step explanation:
5(x-1)-2
5(2-1)-2
5×1-2
5-2
3
Hope this helps you :)
please mark brainliest
Q5. A surprise Mathematics test was conducted in a class of 12 students. The
results are shown below.
45
22 12
9 6 63
63 78
12
69 81 3 19
4 points
Calculate the mean score
O 34.92
O 457
O 20.5
O 22
Answer:
Mean value of score = 40.167 (Approx.)
Step-by-step explanation:
Given:
Number of students in class = 12
Numbers;
45 , 22, 12, 96, 63, 63, 78 , 12 , 69, 81, 3, 19
Find:
Mean value of score
Computation:
Mean = Sum of all observation / Number of students
Mean value of score = [45 + 22 + 12 + 96 + 63 + 63 + 78 + 12 + 69 + 81 + 3 + 19] / 12
Mean value of score = [482] / 12
Mean value of score = 40.167 (Approx.)
What is the relationship between the values tand s plotted on the number line
below?
S
A. t= s
B. t>s
O c. tcs
Answer:
The answer should be t > s. (B) is the answer.
Can someone help and explain how to do these problems please
Step-by-step explanation:
1st one right angle
Right angle is of 90°
and 70° is given so subtract them
90-70=30 so y is 30°
2nd one
35° given and
[tex] \frac{35}{7} = 5[/tex]
so 7x5=35
t=5
Find the measure of the arc or angle indicated.
5)
R
1290
?
S
450
A) 93°
D) 48°
C) 96°
B) 1320
E) 1140
Expand and simplify (3x+4)(2x+3)
Answer:
72 you just need to keep multiplying
Step-by-step explanation:
3x4. 2x3
12 x 6
72
What is the equation of the line
1. Maggie currently has a balance of $-15 in her bank account, she deposits $11
into her account. How much money does Maggie have in her account? *
-15+11=-4 so Maggie has -4 in her account
what is 0.06 divided by 8 working out
Answer:
0.0075
Step-by-step explanation:
0. 0 0 7 5
_______________________
8 ÷ 0. 0 6 0 0
− 0
_______________________
0 0
− 0
_______________________
0 6
− 0
_______________________
6 0
− 5 6
_______________________
4 0
− 4 0
_______________________
0
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the inverse of the function f(x) = 169x2 when x > 0?
Answer:
y = (√x)/13 for x > 0
Step-by-step explanation:
Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation. The graph consists of the right-hand half of the parabola 169x^2. Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test. If x is restricted to (0, infinity), a horizontal line intersects this graph only once. Therefore, this function has an inverse.
1. Replace 'f(x)' with 'y:' y = 169x^2
2. Interchange x and y: x = 169y^2
3. Solve for y: y^2 = x/169, or y = (√x)/13 for x > 0
Math question......please get the correct answer
Answer:
7 pies
Step-by-step explanation:
The graph is counting by 2s and the question is asking how many pies have 90 or more cherries in the pie so, I counted and got 7. 4 from 90-119 and 3 from 120-149. On 120-140 the graph fills up to 2 and then fills a half which counts as one pie 4+2+1=7 pies.
Answer:
7 pies
Step-by-step explanation:
If we have a ratio of 5:1 boys to girls in the class and there are only 5 girls in the class, How many boys are there in the class?
Answer:
25
Step-by-step explanation:
5x5=25
Hope this helps! :)
Answer:
25 boys
Explanation:
Because if there are 5 girls in the class then that means that you have to multiply the ratio of 5:1 by 5, which equals 25:5, meaning there’s 25 boys in the class.
Please help I’ll give brainliest
Answer: $108199
Step-by-step explanation:
Step 1) Find the deposit cost
35/100 × 89540 = 31339
Step 2) Find the total cost of the monthly payments
2135 × 36 = 76860
Step 3) Find the final cost
31339 + 76860 = $108199
PLEASE HELP ME I AM SUFFERING GREATLY
Answer:
6 hours ( i think)
Step-by-step explanation:
new crew = 12 hours, experienced crew = 6 hours
new crew + experienced crew = 12 hours and 6 hours
the help that they get together ; 12-6
Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?
$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
According to the question
Monique goes out for coffee once per week.
She has already spent $40.86 this year on her coffees and each one is $4.54.
There are 27 weeks left in this school year for Monique.
If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:
Based on the given conditions
[tex]40.86 + 27 \times 4.54[/tex]
By using PEDMAS rule, first we have to multiply 27 and 4.54
= [tex]40.86 + 122.58[/tex]
By using PEDMAS rule, first we have to add 40.86 and 122.58
= [tex]163.44[/tex]
Thus, $163.44 money will she have spent on coffee by the end of the year.
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Evaluate the piece-defined function for the given of x by matching the domain values with the range values
Answer:
The correct answer is:
(1) d
(2) b
(3) a
(4) c
(5) e
Step-by-step explanation:
The given problem is incomplete. Find the attachment of the full question.
According to the question,
(1)
By putting x = -2, we get
[tex]f(x)=(-2)^3-5[/tex]
[tex]=-8-5[/tex]
[tex]=-13[/tex]
(2)
By putting x = 0, we get
[tex]f(x)=(0)^3-5[/tex]
[tex]=0-5[/tex]
[tex]=-5[/tex]
(3)
By putting x = 3, we get
[tex]f(x)=8[/tex]
(4)
By putting x = 9, we get
[tex]f(x)=(2)^{9-7}[/tex]
[tex]=(2)^2[/tex]
[tex]=4[/tex]
(5)
By putting x = 11, we get
[tex]f(x)=(2)^{11-7}[/tex]
[tex]=(2)^4[/tex]
[tex]=16[/tex]
A scale drawing of Elizabeth's rectangular room is 4 inches by 7 inches. The scale is 1 inch = 3 feet. What is the area, in square feet, of Elizabeth's room?
Answer:
84 feet
Step-by-step explanation:
4 inches× 7 inches=28inches
28 inches×3feet=84feet
A computer store bought a program at a cost of $10 and sold it at a selling price of $13. Find the percent markup.