Answer:
a) 5,00 m
b) y = - (7/5)x + 7
Step-by-step explanation:
The stairs and the wall forms a rectangle triangle. The wall is the opposite side respect to the angle which stairs forms with ground (I attached an image below of the situation).
a) To find the length of stairs you use the following trigonometric relation:
[tex]sin\theta=\frac{h}{l_s}[/tex] (1)
h: height in which the stairs touch the wall = 4,33 m
ls: length of the stairs
θ: angle between ground and stairs = 60°
You solve the equation (1) for ls:
[tex]l_s=\frac{h}{sin\theta}=\frac{4,33m}{sin60\°}=4,99m\approx5,00m[/tex]
b) The line equation is given by:
[tex]y-y_o=m(x-x_o)[/tex] (2)
Firs, you calculate the slope by using the equation (2):
[tex]m=\frac{0-7}{5-0}=-\frac{7}{5}[/tex]
Next, you use one of the point, say B, an you replace this points for yo and xo:
[tex]y-0=-\frac{7}{5}(x-5)\\\\y=-\frac{7}{5}x+7[/tex]
An ordinary dice is thrown once write down the probability that the dice lands on a number less that 3
Answer:
Probability = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Ordinary dive have sides = 6
Numbers less than 3 on it are = 2
Probability = [tex]\frac{No. OFPossibeOutcomes}{Total NumberOfOutcomes}[/tex]
Probability = [tex]\frac{2}{6}[/tex]
Probability = [tex]\frac{1}{3}[/tex]
Answer:
= 1/3
Step-by-step explanation:
There are two numbers less than 3= 1 and 2
there are total 6 numbers in a dice. So,
= 2/6 = 1/3
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.583
Answer:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]
And if we use the t- table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Step-by-step explanation:
For this case we know that the degrees of freedom are given:
[tex] df = n-1= 16[/tex]
And we want to find the following probability:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]
And if we use the t-table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
CD and EF are parallel lines. AB is a straight line
Answer:
x =42
q = 135°
p + q + r = 225°
Step-by-step explanation:
a)
Since, AB and BC are perpendicular lines.
[tex] m\angle ABC = 90\degree \\
\therefore 24\degree + x\degree + 24\degree = 90\degree \\
\therefore x\degree + 48\degree = 90\degree \\
\therefore x\degree = 90\degree - 48\degree \\
\huge \red {\boxed {\therefore x = 42}} \\[/tex]
b) (i)
Since, CD and EF are parallel lines and AB is a straight line.
[tex] \therefore q = 135\degree... (vertical \: \angle 's) \\\\
p + 135\degree = 180°..(straight\: line \: \angle' s) \\
p = 180\degree - 135\degree \\
\huge \purple {\boxed {p = 45\degree}} \\
\because r = p ... (vertical \: \angle 's) \\
\huge \purple {\boxed {r = 45\degree}} \\
p + q + r = 45\degree + 135\degree + 45\degree \\
\huge \purple {\boxed {p + q + r = 225\degree }}\\[/tex]
A student takes his 2 dogs for a walk. He lets them off their leash in a field where Edison runs at 10 m/s and Einstein runs at 8 m/s. The student determines the angle between the dogs is 25°, how far are the dogs from each other in 5 seconds?
Answer:
The dogs are 21. 8 m from each other in 5 seconds
Step-by-step explanation:
Given;
speed of Edison, v = 10 m/s
speed of Einstein, u = 8 m/s
angle between the two dogs, θ = 25°
let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m
let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m
let the distance between the two dogs after 5 seconds = z
x , y and z forms a triangle with an angle between x and y as θ
The third side, z, can be calculated using cosine rule
z² = x² + y² - 2xyCosθ
z² = 50² + 40² - (2 x 50 x 40)Cos25
z² = 4100 - 4000Cos25
z² = 474.7689
z = √474.7689
z = 21.789 m ≅ 21. 8 m
Therefore, the dogs are 21. 8 m from each other in 5 seconds
A baker uses 34 cup of honey in one of his cakes. There are 60 calories in 18 cup of honey.How many calories are in 34 cup of honey?
Answer: 3/4 = 6/8
so u need 60*6, so
c=60*6 ?
c meaning calories
Answer:
How many calories are in 3/4 cup of honey? = 60/ 1/8*3/4
How many cups of honey will the baker use for 15 cakes? = 3/4*15
How many cakes could the baker make if he has 78 cup of honey? = 7/8 divided by 3/4.
Step-by-step explanation:
Promise this is tried and tested
factorise f²-f-20 step by step
Answer:
(f+4)(f−5)
Step-by-step explanation:
The middle number is -1 and the last number is -20.
Factoring means we want something like
(f+_)(f+_)
We need two numbers that...
Add together to get -1
Multiply together to get -20
4+-5 = -1
4*-5 = -20
Fill in the blanks in
(f+_)(f+_)
with 4 and -5 to get...
(f+4)(f-5)
_______________________________
Hey!!
Solution,
f^2-f-20
= f^2-(5-4)f-20
= f^2-5f+4f-20
= f(f-5)+4(f-5)
=(f-5)(f+4)
So the answer is (f-5)(f+4)
Hope it helps..
Good luck on your assignment
_____________________________
Ryan went to the store to buy some walnuts. The price per pound of the walnuts is $4.50 per pound and he has a coupon for $2.75 off the final amount. With the coupon, how much would Ryan have to pay to buy 5 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.
Answer:
19.75.
Expression: 4.50pp - 2.75
(pp is the variable, pretend)
Simplify (x-5)+(X+1)
Answer:
2x - 4
Step-by-step explanation:
x - 5 + x + 1
→Add like terms (x and x, -5 and 1):
2x - 4
who can solve ? 9y < -3
Answer:
y< -1/3
Step-by-step explanation:
To solve the inequality, we must get the variable, y, by itself.
9y< -3
Perform the opposite of what is being done to the equation, to both sides.
y is being multiplied by 9. The opposite of multiplication is division. Therefore, divide both sides by 9.
9y/9 < -3/9
y< -3/9
-3/9 can be reduced. 3 can be divided evenly into both the numerator (top number) and denominator (bottom number).
y< (-3/3) / (9/3)
y< -1/3
Which of the following is not a case of direct variation?a Number of sheets of some kind and increased when their total weight its inceased. b More quantity of petrol is required to travel more distance with a fixed speed. c More fees would be collected if number of students increased in a class. d Time taken will be less if number of workors are increased to complete the same work.
Answer:
Step-by-step explanation:
If two variables, x and y have a direct variation, it means that an increase in x would lead to a corresponding increase in y. A decrease on x would lead to a corresponding decrease in y.
Therefore, we would compare the scenarios to determine which is not a direct variation. The correct option is
d) Time taken will be less if number of workers are increased to complete the same work.
The rest are direct variation scenarios
Can someone please help me I’m stuck I don’t know what to do
Answer: its the 2nd one
Step-by-step explanation:
someone help me find BC
Answer:
BC can be found after A and before D lol jkjk the answers 2.3
Step-by-step explanation:
sin(50°) = d / 3
sin(50°) = 0.766
0.766 = d / 3
Start with:
0.766 = d / 3
Swap sides:
d / 3 = 0.766
Multiply both sides by 3:
d = 0.766 x 3
Calculate:
d = 2.298
So BC = 2.298
Round to 2.3
Answer:
Answer:to find BC. u use sine because it is opposite divided by hypotenuse.
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3
Answer:to find BC. u use sine because it is opposite divided by hypotenuse. sine50=?/3=2.298=2.30 to the nearest hundredth
Which of the following best describes the perpendicular lines?
Answer:
A perpendicular line is a line that meets a 90 degree angle.
Step-by-step explanation:
Think of the letter L
the top stick of the letter is perpendicular to the bottom stick and it makes a 90 degree angle.
Thats the best way I can explain it.
Hope this helps and please mark me brainliest if it did :)
Answer:
Hey!
Your answer is B. Lines that meet at a 90 degree angle!
Step-by-step explanation:
Just think of an L or something...
The 2 lines meet together and you can then see close to the area they meet at 90 degree angles...
Which of the following is not true if the polygon is a square?
O A. slopers. slopesc = -1, slope slopesc = -1, sloped slope = -1,
and slope AB
• Slopezd = -1
B. The slopes of the adjacent line segments are equal.
O C. AB = BC = CD = AD
O D. slopezp=slopego
Answer:
the slopes of the adjacent line segments are equal......
Step-by-step explanation:
hope it's helpful
(4x2 + 7x)(5x2 – 3x)
A. 2034 + 35x3 - 21x2
O B. 202A + 23x3 - 21x2
C. 20x4 + 23x2 - 21%
O D. 20A + 35x2 – 21x
Answer:
work is shown and pictured
What is the simplified expression in standard form
Answer:
[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]
Step-by-step explanation:
[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]
The perimeter of a pentagon is 20t + 7.
Four sides have the following lengths:
6t, 2t, 4t – 5, and 5t + 1.
Answer:
3t+11
Step-by-step explanation:
A pentagon has 5 sides
Perimeter is the total measurement around an object=20t+7
we have not been given the 5th side measurement so lets make it x
6t +2t+4t-5+5t+1+x=20t+7
put the liketerm together i e
6t+2t+4t+5t-20t+x=7+5-1
17t-20t+x=11
-3t+x=11
x=11+3t.
So the measurements of the fifth side is 11+3t same as 3t+11
Lines l and m are parallel. Parallel lines l and m are intersected by lines s and t. At the intersection of lines l, s, and t, clockwise from the top left, the angles are blank, 50 degrees, (x + 25) degrees, (2 x) degrees, 1, blank. Lines t, s, and m create a triangle with angles 1, 2, 3. Using the diagram, determine which statements are true. Select all that apply. m∠1 = 50° m∠3 = (2x + x + 25)° m∠2 = (x + 25)° m∠1 + m∠2 + m∠3 = 180° 50 + 2x+ x + 25 = 180
Answer:
A, c, d, e
Step-by-step explanation:
on edg
The correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180
What are parallel lines?Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.
Given that, two parallel lines l and m are intersected by lines s and t. some angles are made by them, we need to select the correct options for them,
Correct options with reasons :-
∠ 1 = 50° is a true statement because they are vertically opposite angles.
m ∠ 1 + m ∠ 2 + m ∠ 3 = 180°, is a correct statement because they are interior angles of a triangle.
50+2x+x+25 = 180, is a correct answer because they are angles lying in a straight line.
Hence, the correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180
Learn more about Parallel lines click;
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what is the solution to the equation x-16=-8
Answer:
x = 8
Step-by-step explanation:
8 minus 16 equals to a negative answer, resulting to -8.
Answer:
x = 8
Step-by-step explanation:
Add 16 to both sides of the equation.
x = −8 + 16
Add − 8 and 16
x = 8
The equation x2 - 7x=0 when solved is:
Answer:
x =0 x=7
Step-by-step explanation:
x^2 - 7x=0
Factor out an x
x(x-7) =0
Using the zero product property
x =0 x-7 =0
x =0 x=7
PLEASE HELP!! Rick uses this exponential expression to determine what the value of his bank account will be in three years. Select the value in the expression that represents the number of times per year that interest is compounded on the account.
5,000(1+0.04/12)^12t
Answer:
12
Step-by-step explanation:
A compound interest equation is represented as A = P(1 + r/n)^nt, where n=the number of times per year the interest is compounded. In the given equation, n=12.
Answer:
12
Step-by-step explanation:
What are some words that relate to geometry but are difficult to precisely define
Answer:
the point the line the planeStep-by-step explanation:
:D
The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?
Answer:
Step-by-step explanation:
If you want to know what you have to multiply by 5 to get a product of 70, you would divide 70 by 5 to get that other number. Because 70 divided by 5 is 14, you know that the other number is 14. It's the same when you have one factor of a polynomial and want to know the other. You divide your polynomial by the one factor to get to the other factor, because when you multiply them together, you get back the polynomial you started with. Like when we found that 70 / 5 = 14, we know that when we multiply 14 by 5 we'll get the 70 we started with.
Long division of polynomials will be difficult to illustrate within this forum, but I'll do my best. What we want to do is divide [tex]6x^2+x-15[/tex] by 2x - 3:
__________
2x - 3 | [tex]6x^2+x-15[/tex]
First divide the 6 x-squared by the 2x (forget about the rest of what's inside the box for now, and also forget about the -3 for now. We'll deal with them later). 2x goes into 6 x-squared 3x times, because 2x * 3x = 6x-squared, right? So the 3x goes above the 6x-squared:
3x_______
2x - 3 | [tex]6x^2+x-15[/tex]
Now we multiply the 3x by the 2x and put that product under the 6x-squared. The product is 6x-squared (which will always be the case in division that they will subtract each other away. That's why we do this!)Then multiply the 3x by the -3 which is -9 and put that under the "+x" term:
3x________
2x - 3 | [tex]6x^2+x-15[/tex]
6x^2-9x
At this point we change the signs and have
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 +9x
And then we add and bring down the -15:
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now do the division process again, this time dividing 10x by 2x (again the -3 will wait). 10x divided by 2x is 5 (because 2x * 5 = 10x, right?). The 5 goes above the +x on top:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now we wwill multiply the 5 by both the 2x and the -3 and subtract:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
- 10x + 15
Notice that when we subtracted, the 10x changed from + to -, and the -15 changed to a positive. The remainder is 0.
That tells us that the other factor of the polynomial is 3x + 5. You could also have done synthetic division, but it would be more difficult than this to illustrate because you would be dividing by 3/2. :/
Ur so worth it...ok now enough about u...help plz
Just 20 and 21...also there’s a little hint it says to draw a triangle.
Answer:
20. 13 cm
21. 12 cm
Step-by-step explanation:
20. isosceles means two sides are the same length, so you take the ten off the perimeter to get 26 remaining cm (36 -10) and you then divide that by two to get both sides of 13 cm (26 / 2)
21. because you know that if you split the triangle down the middle you get a right triangle and you can use a^2+b^2=c^2 to find the height, so we take the one side of 13 cm and half of the third side, which is 5, and you can find your answer (a^2 + 5^2 = 13^2 ---> a^2 + 25 = 169 ---> a^2 = 144 ---> a = 12)
the volume of a cylindrical container is 1500 cm cube if the base area of the container is 120 cm cube what is the height of the container
Answer:
12.5cm
Step-by-step explanation:
The height is found in the following way:
Volume divided by Area of Cross section.
So,
1500 divided by 120 = 12.5 cm
PLEASESS HELPPP
Determine where f(x) = g(x) from the graph
A. X=-2; x=2
B. X=0 ; x=-8
C. X=0 ; x=2
D. X=-2; x=0; x=2
Answer:
The answer is D.
Step-by-step explanation:
Given that f(x) = g(x) which means that both functions intersect to each other. By looking at the graph, x = -2 or 0 or 2 are the places where they intersect.
There are 15 students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out
the following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board?
The number of ways can the teacher assign out is 75.
Given that,
There are 15 students in a kindergarten class.The following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board.Based on the above information, the calculation is as follows:
[tex]= 15\times 5[/tex]
= 75
Therefore we can conclude that The number of ways can the teacher assign out is 75.
Learn more: brainly.com/question/17429689
1
Manny tosses a dime 500 times, and it lands on heads 325 times.
What is the theoretical Probability the the dime lands on tails?
(10 Points)
2/3
250/500
o 1/2
13/20
Answer:
7/20
Step-by-step explanation:
He tosses the dime 500 times and it lands on heads 325 times.
There are only two possibilities in a coin toss: Head or tails
This means that it lands on tails:
500 - 325 = 175
The theoretical probability of the dime landing on tails is:
175 / 500 = 7/20
Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of $9.90 how much does each person pay?
Answer:
$10.68
Step-by-step explanation:
The question is incomplete as we were not given the cost of each pizza and each drink.
Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of $9.90 how much does each person pay? If one large pizza cost $12 and small drink cost $1.5.
Solution:
one large pizza cost = $12
small drink cost = $1.5
3 large pizzas = 3×12 = 36
5 small drinks = 5×1.5 = 7.5
Tip = $9.90
Total cost = 36+7.5+9.9 = $53.4
Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5
Each person pays = $53.4/5
Each person pays = $10.68
Please answer (-3+4)2 and another one is -5(4-2) I need answers to both pleaseee
Answer:
Step-by-step explanation:
Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.
1.)3 x 2 + 3 x 8 = 24
Now that you got the steps down, ima do the rest in my head
2.) 2
3.) -10
4.) -50
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = ab + ac
a(b - c) = ab - ac
1) 3(2 + 8) = 3*2 + 3*8
= 6 + 24
= 30
2) (-3 + 4)2 = -3*2 + 4*2
= -6 + 8
= 2
3) -5(4 - 2) = -5*4 - (-5)*2
= - 20 + 10
= -10
4)(12 +13)(-2) = 12*(-2) + 13 *(-2)
= -24 - 26
= -50
