Andrew can reach a maximum of [tex]24.6ft[/tex] high up the wall.
The right-angled triangle formed can be solved using the [tex]sine[/tex] ratio. that is
[tex]sin(72^\circ})=\dfrac{h}{20}[/tex]
where [tex]h[/tex] is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for [tex]h[/tex], we get
[tex]0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft[/tex]
Since Andrew can reach an extra [tex]5ft[/tex] above the point where the ladder rests against the wall, the maximum height Andrew can paint is
[tex](19.632+5)ft=24.632ft\\\\\approx24.6ft[/tex]
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What is the slope of the graph of
y= 5/2x+3?
-
Answer:
The slope would be 5/2.
Step-by-step explanation:
Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.
Classify the following triangle as acute, obtuse, or right.
O A. Acute
O B. Obtuse
O C. Right
O D. None of these
Answer:
It is an obtuse angle so correct
The given triangle is an obtuse angle triangle.
The correct option is (B).
What is a Triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices.
As per the given data in the diagram:
We are given a triangle and all the angles of the triangle are also given.
We have to find out the type of the triangle.
If all angles of a triangle are less than 90°, then it's an acute angle triangle.
If any angle of the triangle is greater than 90°, then it's an obtuse angle triangle.
If any angle of the triangle is equal to 90°, then it's a right angle triangle.
For the given triangle:
30° < 90°
24° < 90°
126° > 90°
The given triangle is an obtuse angle triangle.
Hence, the given triangle is an obtuse angle triangle.
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Ricardo changed $600 into pounds when the exchange rate was $1 = 0.60 pounds
He later changed all the pounds back into dollars when the exchange rate was $1 = 0.72 pounds
How many dollars did he receive ??
600 x 0.60 = 360 pounds
360 /0.72 = 500
He got $500
I need help anyone please help.
Answer:
1/4 or 1/2 good luck my guy
Step-by-step explanation:
What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16-r> 8
Answer:
{5, 6, 7}
Step-by-step explanation:
The solution to the inequality is ...
16 -r > 8 . . . . . given
16 -8 > r . . . . . add r-8
8 > r . . . . . . . simplify
The values in the replacement set that are less than 8 are {5, 6, 7}.
will mark brainiest
Hans is riding his bicycle. He takes 6 hours to ride 38.4 kilometers. What is his speed?
___ kilometers per hour
a train which is 100 meters long is traveling at a speed of 90km per hour. How many seconds will it take for this train to pass completely through a 300 meter tunnel
The train will take 16 seconds to pass completely through a 300 meter tunnel.
Let suppose that the train moves itself at constant velocity, the vehicles needs to cover the tunnel length ([tex]L[/tex]) and its length ([tex]l[/tex]), both in meters, to pass through the tunnel, the time taken by the train ([tex]t[/tex]) is described by the following kinematic formula:
[tex]t = \frac{L+l}{v}[/tex] (1)
Where [tex]v[/tex] is the train velocity, in meters per second.
If we know that [tex]L = 300\,m[/tex], [tex]l = 100\,m[/tex] and [tex]v = 90\,\frac{km}{h}\,\left(25\,\frac{m}{s} \right)[/tex], then the time taken by the train is:
[tex]t = \frac{300\,m + 100\,m}{25\,\frac{m}{s} }[/tex]
[tex]t = 16\,s[/tex]
The train will take 16 seconds to pass completely through a 300 meter tunnel.
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The e of the function f(x) = e* has a value of:
a
3.14
2.718
1.98
None of these choices are correct.
Answer: 2.718
Step-by-step explanation:
You don’t need the star there but it is Euchre’s number when you look it up it is 2.718
HELP PLEASE!!!!!!!!!!!!
Calculate the volume of cuboids with the following dimensions
length= 1.2 m, breadth= 1 m, height= 150 cm
Answer:
1.8 m^3
Step-by-step explanation:
We just have to multiply the lenghts, but careful: the height is in cm. 100 cm = 1 m. Therefore 150cm = 1,5m.
V = 1.2 m * 1m * 1.5m = 1.8 m^3
pls help i really dont understand this
Answer:
Slope: -1
y intercept: -3
equation: y=-1x-3
Step-by-step explanation:
The y intercept is when x is zero.
What is the measure of a third angle of this triangle
Please explain how to solve in a easy way
Some nuts cost $22/kg. How much would 150 g cost?
Answer:
$3.30
Step-by-step explanation:
1 kg = 1000 g
therefore, 150 g = 0.15 kg
multiply the cost by the amount
22 x 0.15 = 3.3, or $3.30
Help pleaseeeeieneeiejne
Answer:
Pretty sure the domain for this is all positive numbers and range is all positive numbers over 1.
Step-by-step explanation:
domain refers to x values.
range refers to y values.
can someone help me with these? it's a study guide and I lost the notes I took for these
Step-by-step explanation:
[tex]thanks \: you \: the \: point \\ pls \: follow \: me[/tex]
6) An ice cream factory makes 200 quarts of ice cream in 5 hours. How many
quarts could be made in 12 hours? What was that rate per day?
Answer:
480 quarts could be made in 12 hours
Rate: 40 quarts per hour
Step-by-step explanation:
Rate: 200/5 = 40 quarts per hour
(40)(12) = 480 quarts
Someone please help me
PLEASE ANSWER THIS QUESTION!!!! ASSIGNMENT DUE BY 3:15!!!!!!
create an event that would give me a PROBABILITY of 1/2
Answer:
This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?
There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.
Hope this helps!
Please answer this I am so bad at math
For triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.
We are given a triangle MNO.
We are also given that:
m ∠ MNP = 38°
m ∠ ONP = 39°
This clearly means that:
m ∠ MNP < m ∠ ONP
Also, since m ∠ MNP < m ∠ ONP , the sides opposite to the angles will also follow the same relationship.
Side opposite to ∠ MNP is MP
and side opposite to ∠ ONP is OP
so, the relation will become:
MP < OP
Therefore, we get that, for triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.
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The statements m MNP m ONP and MP < OP are true for triangle MNO.
A triangle MNO is presented to us.
Additionally, we learn that
m ∠ MNP = 38°
m ∠ ONP = 39°
This demonstrates that:
m, MNP, m, and ONP
The sides that are opposite to the angles will also adhere to the same relationship because m MNP m ONP.
MP is the side that faces MNP.
and OP is the side opposite to ONP.
hence, the relationship will be:
MP < OP
As a result, we understand that for triangle MNO, the assertions m MNP m ONP and MP OP are true.
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Easy question, Worth 80 points, PLEASE HELP!! What are the angles and the side measurements for this triangle?
Answer:
the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively
Step-by-step explanation:
Distance between points (2,5) and (-1,2)
Using the formula, √(X2 - X1)² + (Y2 - Y1)²
= √(-1-2)²+(2-5)²
=√(-3)²+(-3)²
=√9+9
=√18 or 3√2
Distance between points (-1,2) and (4,3)
=√[4-(-1)]²+(3-2)²
= √5²+1²
=√25+1
=√26
Distance between points (2,5) and (4,3)
=√(4-2)²+(3-5)²
=√2²+(-2)²
=√4+4
=√8
Using Cosine rule/formula, C²= A²+B²-2abcosc
Let C be √18, A be √26 and B be √8
√18²=√26²+√8² - 2√26.√8cosc
18= 26+8 - 2√208cosc
18= 34 -2√208cosc
2√208cosc= 34-18
Cosc = 16/2√208
Cosc= 0.5546
c= Cos`¹(0.5547)
c= 56.3°
Using sine rule/formula
Sinc/C= Sina/A=Sinb/B
Sin56.3/√18= Sina/√26
Sina= (0.8320 × √26)/ √18
Sina= 0.9999
a= Sin`¹(0.9999)
a= 89.2
56.3+89.2+b= 180°( sum of angles in a triangle)
145.5 + b =180
b=180-145.5
b= 34.5
solve the equations 3/4x = 21
Therefore, the answer is 28.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
if x(square) plus y(square) is 8.and the froduvt is . what are x and y?
Given :-
x² + y² = 8Product of x and y is 4 .( say )To Find :-
The value of x and y .Answer :-
Here we are given that,
[tex]\red{\longrightarrow}[/tex] x² + y² = 8 .
And ,
[tex]\red{\longrightarrow}[/tex] xy = 4
[tex]\red{\longrightarrow}[/tex] y = 4/x
So that ,
[tex]\red{\longrightarrow}[/tex] x² + (4/x)² = 8
[tex]\red{\longrightarrow}[/tex] x² +16/x² = 8
[tex]\red{\longrightarrow}[/tex] x⁴ + 16 = 8x²
[tex]\red{\longrightarrow}[/tex] x⁴ - 8x² + 16 = 0
Assume k² = x⁴ and k = x²
[tex]\red{\longrightarrow}[/tex] k² - 8k + 16 = 0
[tex]\red{\longrightarrow}[/tex] k² -4k -4k +16 = 0
[tex]\red{\longrightarrow}[/tex] k(k-4) -4(k-4) = 0
[tex]\red{\longrightarrow}[/tex] (k-4)² = 0
[tex]\red{\longrightarrow}[/tex] k = 4
So ,
[tex]\red{\longrightarrow}[/tex] k = x²
[tex]\red{\longrightarrow}[/tex] 4 = x²
[tex]\red{\longrightarrow}[/tex] x = √4
[tex]\red{\longrightarrow}[/tex] x = ±2
Hence the required answer is ±2.
The values of x and y of the given function are; x = y = ±2
Roots of a Polynomial
We are given;
x² + y² = 8 -----(1)
Product of x and y = 4;
Thus; xy = 4
Now, making y the subject we have;
y = 4/x
Putting 4/x for y in eq 1 gives us;
x² + (4/x)² = 8
x² + (16/x²) = 8
Multiply through by by x² to get;
x⁴ + 16 = 8x²
⇒ x⁴ - 8x² + 16 = 0
using online polynomial root calculator, we have x = ±2
Thus, y will also be ±2
Complete question is;
If x² + y² = 8 and the product of x and y is 4, what are x and y?
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Can someone please give me the (Answers) to this? ... please ...
Answer:
To be congruent at b. no. UV= VK,V=V,UW=KM.
To be congruent at C no. M=S,LM=ST,LK=TU.
someone pleeeeease help me
Answer:
22.4cm
Step-by-step explanation:
The formula for the diagonal is:
[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]
Where:
l is the length (AB, CD)
b is the width (BC, AD)
h is the height (AE, BF, CG, DH)
We know d, l, b and we can calculate h
[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]
We evaluate both sides to ² to remove the square root:
[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]
[tex]625 = 164 + h {}^{2} [/tex]
To find the value of h we have to do the square root, as it is to the ²:
[tex] \sqrt{625 - 124} = h[/tex]
[tex] \sqrt{501} = h = 22.4cm[/tex]
if sarah works 40 hours a week and earns 660 dollars per payroll. how much does she make an hour
Answer:16.50
Step-by-step explanation: hope it helps
Answer:
16.50
Step-by-step explanation:
HELP. GIVING BRAINLIST. BRAINLIST. DONT MESS AROUND PLEASE IM DESPERATE.
Answer:
make me brain list
thank u
Step-by-step explanation:
How many match sticks will be in the 8th picture?
I need help with this
Answer:
a and b
Step-by-step explanation:
Please help! (Only answer if correct)
Erica used 50 pounds of type B coffee
Let the number of pounds of type A coffee be A
Let the number of pounds of type B coffee be B
Total number of pounds = 123
A + B = 123.........................................(1)
Cost of 1 pound of type A coffee = $5.95
Cost of 1 pound of type B coffee = $4.40
Total cost = $654.35
5.95A + 4.40B = 654.35..........................(2)
Make A the subject of the formula in equation (1)
A = 123 - B........................(3)
Substitute equation (3) into equation (2)
5.95(123 - B) + 4.40B = 654.35
731.85 - 5.95B + 4.40B = 654.35
5.95B - 4.40B = 731.85 - 654.35
1.55B = 77.5
B = 77.5/1.55
B = 50
Erica used 50 pounds of type B coffee
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if m angle 2 =70, find m angle 6
m angle 6= 210
I'm not sure about this question