Answer:First, draw a picture.
Distance on ground = 10 feet
Length of ladder (hypotenuse) = x [unknown for now]
Height on wall = x-2
The Pythagorean theorem says, for a right triangle: a2+b2=c2
[note: the hypotenuse, c, is always the longest side]
102 + (x-2)2 = x2
100 + x2 -4x + 4 = x2 [expand using F-O-I-L]
100 -4x + 4 = 0 [subtract x2 from both sides]
104 - 4x = 0 [collect terms]
-4x = -104 [subtract 104 from both sides]
x = 26 [divide both sides by (-4)]
Check:
Is 102 + 242 = 262 ?
100 + 576 = 676 ?
676 = 676 ?yes
Step-by-step explanation:
Jake's net pay is $160.65 after deductions of $68.85. He makes $8.50 per hour. how many hours did he work?
Answer:
27 hours
Step-by-step explanation:
160.65 = 8.50x-68.85
x=27
question b only please
b) A different pattern is made using 20 straight lines
and 14 arcs.
The straight lines and arcs are made from metal.
20 straight lines cost £12
cost of one straight line : cost of one arc = 2 : 3
Work out the total cost of metal in the pattern.
Answer:
total cost= 24.6
Step-by-step explanation:
12 ÷ 20 = 0.6 per straight line
arc 0.6 × 3/2 = 0.9
12 + 0.9 × 14
12 + 12.6 = 24.6
The required cost of the metal used in the pattern is £24.6.
Given that,
A different pattern is made using 20 straight lines and 14 arcs.
The straight lines and arcs are made from metal. 20 straight lines cost £12 cost of one straight line is cost one arc = 2 : 3.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the cost of the total arcs be x,
As per the given condition,
The cost of the one straight line is 12/20 and cos if the one arc is x/14,
According to the question,
[12/20]/[x/14] = 2/3
12×14/20 = 2x / 3
x = £12.6
The total cost of a metal arc is £12.6
And the total cost of the metal line in the pattern is = £12.
Total cost of metal = 12 + 12.6 = £24.6
Thus, the required cost of the metal used in the pattern is £24.6.
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A total of 392 were sold for the school play. They were either adult tickets or student tickets. The number of students sold was three times the number of adult tickets sold. How many adult tickets were sold?
Which statement is true?
We will see that the fourth statement:
"-0.3*|3 + 8x| = 0.9 has no solutions."
Is the true statement.
Which statement is true?Here we need to see which statement regarding absolute value equations is true.
Here you can see that the fourth statement is:
-0.3*|3 + 8x| = 0.9 has no solutions.
Now, if you look at the left side of the above equation, the left side will always be negative, while the right side is positive, then the equation can't have a solution.
There is no value of x that makes that equation true, so it is true that the given equation has no solutions. This is the correct statement.
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How many outcomes are possible when you roll 3 regular six-sides dice ?
Answer:
216 outcomes.
Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes
is y=x^3 a linear equation
Answer:
No
Step-by-step explanation:
Linear equations, when graphed, look like straight lines.
Examples include:
y= mx + b
y = 3
x + 2 = 0
y + 6 = 0
y = 7x +2
Anybody knows 3x^2+6x-10 + 3x+5
solution:
3x^2+9x-5
i hope this helps
:)
Miguel has a kite shaped like a rhombus. The two diagonals measure 10 inches and 3 inches. What is the area of the kite?
Answer:
15
Step-by-step explanation:
26 Inches!
10 + 3 = 13
13 + 13 = 26 (10 + 10 + 3 + 3)
The weights of hummingbirds are given below in ounces. Show whether the mean or the median is a better choice for a “typical” hummingbird’s weight and calculate it.
Data in order : 4, 5, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11
Since the data-set contains outliers, the median is a better choice, and it is given of 10 ounces.
When to use the mean or the median?It depends if the data-set contains outliers or not.
If it does, the median should be used.Otherwise, the mean should be used.In this problem, the weights of 4 and 5 ounces are outliers, hence the median should be used. There are 19 values, hence the median will be given by the 10th value, which is 10. Hence the median is of 10 ounces.
More can be learned about the median of a data-set at https://brainly.com/question/25215461
Which comparison is correct?
Answer:
B
Step-by-step explanation:
-5 is less than -4 is true. it cannot be the first one because they are equal. It cannot be the third one because the absolute value of 5 (which is 5) is not greater than 7. And, it cannot be the last on because the absolute value of -5 (which is also 5) is not less than -4.
The claim being assessed in a hypothesis test is called.
It takes 12 hours to make a trip going 50 mph. How fast would you need to go to make it in 10 hours?
Answer:
10 hours = 60 mph
you will need to go 60 mph to make the trip 10 hours
explaination:
Multiplying the amount of hours and the mph, 12 times 50 is 600 miles.
10 times 60 is 600 miles. They both have the same answer, but 60 mph is the fastest. 60 mph is how fast you would need to go to make it in 10 hours.
I dont know if i explained it good.
The two cones below have the same radius, height, and volume. are the two cones congruent? explain and include details to support your claim.
The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
The two cones below have the same radius, height, and volume.
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Since, Congruent cones must have congruent corresponding measures, including slant height.
The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.
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Answer:
Sample Response: The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.
What did you include in your response? Check all that apply.
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Congruent cones must have congruent corresponding measures, including slant height.
Derek lives in canada and enjoys herb gardening. his american friend sent him a guidebook for growing fresh herbs. the book says that it is best to cut bay shoots when they are 3.25 in long. if 1 mm is equivalent to 0.03937 in, how many millimeters long should the bay shoots be when derek cuts them? a. 8.26 mm b. 12.80 mm c. 82.55 mm d. 95.67 mm
When the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
The book says that it is best to cut bay shoots when they are 3.25 in long.
As it is given that the:
1 mm = 0.03937 in
To find how many millimeters long should the bay shoots be when Derek cuts them, we must convert 3.25 in to mm
From the 1 mm = 0.03937 in, we can find how many mm is there in 1 in;
[tex]\rm 1 \ in= \frac{1}{0.03937} \ mm[/tex]
To convert 3.25 in into mm, we must multiply it by 1/0.03937
= 3.25×(1/0.03937)
= 82.55 mm
Thus, when the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.
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Which function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 5 f(x) = –(x – 4)2 5 f(x) = (x – 5)2 4 f(x) = –(x – 5)2 4
The function range of {y|y ≤ 5} is f(x)=-(x-4)^4+5.
Since the range has less than a sign, this means that the parabola is
facing downwards and it means that a is negative.
The range is given by
[tex]{y|y \leq k}[/tex]
What is the vertex form of a quadratic equation?[tex]f(x)=a(x-h)^2+K[/tex]
Since the range is
[tex]{y|y \leq 5},[/tex]
This means that k = 5 , and since a is negative
The correct function is
[tex]f(x)=-(x-4)^4+5[/tex]
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Answer: B: (f(x) = –(x – 4)2 + 5)
Step-by-step explanation:
When a tangent line and a radius intersect on the surface of a circle,
which of the following holds true?
Answer:
c
Step-by-step explanation:
When a tangent line intersects with a radius of a circle at the point of tangency, they will be perpendicular. Tangent lines that meet two different circles. Since a tangent line is perpendicular to the radius of the circle, extend the radius outside of the circle.
What is the value of x?
Answer:
Step-by-step explanation:
Sum of all angles of triangle = 180
17x + 10x -5 + 50 = 180
Combine like terms
27x + 45 = 180
To find the valu of x, we have to isolate x. To isloate x
Step 1: Subtract 45 from both sides
27x = 180 - 45
27x = 135
Step 2: Divide both sides by 27
x = 135/27
x = 5
Answer number 17 please
Answer:
Ava
Step-by-step explanation:
Ava's = 100/10 = 10
Ian's = 110/20 = 5.5
Explain how this shows that you can multiply numbers in any order and get the same answer.
Answer:
i dont see the problem but lets say you have 19*8*15
Step-by-step explanation:
19*8=152*15=2280
8*15=120*19=2280
any way you multiply them their always gonna add up to the same thing
Which word in this excerpt from "Places" by Sara Teasdale connotes a soothing feeling?
1. Hush
2. Flaming
3. Fired
4. Desired
Answer:
1. Hush
Step-by-step explanation:
Answer:
The answer should be D.) Desired.
Step-by-step explanation:
The definition of soothing is "having a gently calming effect",
A.) Hush, which in most cases is negative,
B.) Flaming, does not sound gentle OR calming,
B.) Fired usually comes from a negative impact, so your answer MUST and SHOULD be, D.) Desired.
A quarter of a circle has a radius of 7cm. What is is the area of the shaded part
Answer:
14
Step-by-step explanation:
using the formula:
(theta/360 pi r^2)-(1/2ab(the radius)sin theta)
theta is obtained by multiplying 1/4 and 360 therfore theta is 90°
Which equations represent nonlinear functions?
y= 2x + 7
y= 6(x-1)
y= x2+ 2
y=-5/x
Answer:
y = x² + 2
y = -5/x
Step-by-step explanation:
Linear & Nonlinear Definition:
Linear is something that is associated with a straight line such as linear equation or function. That means the highest degree of equation has to be 1 or only x.Nonlinear is something that does not form a line graph such as parabola, cubic, exponential, etc.From choices:
Both y = 2x+7 and y = 6(x-1) are linear because they have highest degree as 1 which is only x and these equations are known as linear function.However, both y = x²+2 and y = -5/x are nonlinear because y = x²+2 forms parabola which is a curve graph and also has highest degree of 2. As for y = -5/x, this is called fractional function which also forms curve graph and the degree of this equation is -1 via law of exponent.Therefore, y = x²+2 and y = -5/x are nonlinear.
Mark bought a drink for $2. 39 and chips for $1. 89. If he pays with a $20 bill, how much change will he receive?
A roof is constructed as shown. What is the length of the slope of the roof? Round to the nearest 10th
Answer:
Length of slope = 15.8 yd
Step-by-step explanation:
using Pythagoras theorem,
?² = 13² + 9²
?² = 169 + 81
? = √250
? = 15.8 yd
Step-by-step explanation:
According to Pythagoras theorem ,
Hypotenuse ² = Perpendicular ² + base ²
Here , we have to find the hypotenuse
perpendicular = 13ydbase = 9ydputting the known values ,
Hypotenuse² = (13yd)²+ (9yd)²
Hypotenuse² = 169+81
Hypotenuse² = 250 yd
Hypotenuse = √250 yd
Hypotenuse = 15.8 yd
I can’t solve this can someone help me
Answer:
[tex]\textsf{D.}\quad\dfrac{b}{\sqrt{a^2+b^2}}[/tex]
Step-by-step explanation:
Tan trig ratio
[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]
where:
[tex]x[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleUsing the given information:
[tex]\implies x=\tan^{-1}\left(\dfrac{a}{b}\right)[/tex]
[tex]\implies \tan(x)=\tan\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)[/tex]
[tex]\implies \tan(x)=\left(\dfrac{a}{b}\right)[/tex]
Comparing this with the trig ratio, we can say that:
[tex]x[/tex] is the angle opposite side [tex]a[/tex]
Cos trig ratio
[tex]\cos(x)=\sf \dfrac{A}{H}[/tex]
where:
[tex]x[/tex] is the angleA is the side adjacent the angleH is the hypotenuseTherefore:
A = side [tex]b[/tex]H = side [tex]\sqrt{a^2+b^2}[/tex][tex]\implies \cos\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)=\cos(x)= \dfrac{b}{\sqrt{a^2+b^2}}[/tex]
Which function represents the graph
The absolute value function represented by the graph is:
y = -3*|x|
So the correct option is B.
Which function represents the graph?
In the graph, we can see a "V" shape, which belongs to the absolute value functions, but this graph opens down, so our function will be something like:
y = -a*|x - b|
The value of b is the value of x where we have the vertex, in this case, is at x = 0, so b = 0
y = -a*|x|
To get the value of 1, we ise one of the points that we can see on the graph. For example, for x = 1, we have y = -3, replacing that we get:
-3 = -a*|1| = -a
3 = a
So we can conclude that our function is:
y = -3*|x|
So the correct option is B.
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Please help me. I’m not so familiar with graphing.
Answer:
Hey i believe this is the answer
Step-by-step explanation:
Take a look at the screenshot
Also Desmos graphing calculator is a big help :) It might make you a little more confident
$21.46 Divided By 37 I want the solution and the answer
Answer:
[tex] \frac{21.46}{37} = 0.58[/tex]
[tex]answer:$0.58[/tex]
Mr. Fowler's science class grew two different varieties of plants as part of an
experiment. When the plant samples were fully grown, the students
compared their heights.
Plant
variety
Mean Mean absolute deviation
(inches)
Helght of plant
(inches)
20, 17, 19, 18, 21
13, 18, 11,9,14
19
1.2
Variety A
Variety B
13
2.4
Based on these data, which statement is true?
O A. The height of a plant from variety B is likely to be closer to the
mean
B. Plants from variety A always grow taller than plants from variety B.
C. The maximum height for plants from variety B is greater than for
variety A
O D. The height of a plant from variety A is likely to be closer to the
mean
Please help who ever answers first and the answer is correct will get brainlist please help fast!!!!
Answer:
B. plant from variety Always grow taller than plant from variety B
Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7
congruent angles are of similar measures
congruent angles that are congruent to ∠7:
∠6 ( vertically opposite angles )∠3 ( corresponding angles )∠2 ( alternate interior angles )See how
<7+<5 are linear pairs<5+<3 are also linear pairsFrom both
<7 and <3 are equal(Corresponding angles)Similarly
<7 nd <6 are equal (Opposite angles)And
<6 and <2 are corresponding and equal so
<7 and <2 are equal