Answer:
Scientific Method:
Step-by-step explanation:
Scientific method is the set of basic rules that must be followed for the production of knowledge that has the rigor of science, that is, it is a method used for research and verification of a certain content. For several authors, the scientific method is the logic applied to science.
i hope this
find the new prices after the given percentage increases.
a] £35 increased by 10%
b} £105.99 increased by 12%
Answer:
a] 38.5$
b] 118.71$
Step-by-step explanation:
A)35$ was increased by 10%
So:
10% of 35$
10/100 x 35 ($)
3.5$
So 35$ was increased by 3.5$ and the new price is 38.5$
B)105.99$ was increased by 12%
So:
12% of 105.99$
12/100 x 105.99$
=12.7188$
Let's round it to the nearest hundredths:
12.72$
So 105.99$ was increased by 12.72$ and the new price is 118.71$
HOPE IT HELPS :D
Tip: "of" means multiplication in Maths.
Consider parallel lines cut by a transversal.
Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.
When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.
What are Alternate exterior angles?When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.
Firstly, ∠1 and ∠7 are alternate exterior angles as shown in the image, now to prove if these two angles will be congruent we can use the below proof.
First Method:
∠1 + ∠2 = 180° {Supplementary angles because both lies on the line q}
∠2 = (180° - ∠1)
Similarly, ∠2 = ∠6 = (180° - ∠1), corresponding angles are equal,
∠6 + ∠7 = 180° {Supplementary angles because both lies on the line r}
∠7 = 180° - ∠6
∠7 = 180° - (180° - ∠1)
∠7 = 180° - 180° + ∠1
∠7 = ∠1
OR
Second Method:
∠1 = ∠3 {Vertical angles formed by intersecting lines q and r}
∠3 = ∠5 {Alternate Interior angles}
∠5 = ∠7 {Vertical angles formed by intersecting lines s and r}
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MisterBrainly (also known as Enstine) lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height and the kite is 25º. Find the height of the kite above the ground, to the nearest foot.
Answer: I love the picture example
Step-by-step explanation:
We will first find the heigh of the kite from his hand to a point in the air.
Then, we will add 3 feet to the result.
So, how to find the vertical line of the right triangle?
Well, we have the vertical line = x
We also got the hypothenuse, equal to 100 feet
And also theta, equal to 25 degrees.
We can calculate sine because the sine of 25 degrees = opposite side (the height line) over (divided by) the hypothenuse
sin(25) = x/100 feet
multiply 100 feet on both sides, to cancel to 100 feet on the right side.
100sin(25) = x
100(0.442) = x
x = 42.2 feet
Height = 42.2 + 3 feet (the yoda's hand =) = 45.2 feet (total)
Rounded to the nearest tenth.
I also did the verification, so it is the correct answer.
Easy as that =]]
Height of the kite from 3ft above the ground
[tex]\\ \rm\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sin25=\dfrac{P}{100}[/tex]
[tex]\\ \rm\Rrightarrow P=100sin25[/tex]
[tex]\\ \rm\Rrightarrow P=42.26\approx 42ft[/tex]
Height from the ground
42+345ft(Rounded)Fully simply 15x^4y^4(−5x^3y^5)
Answer:
[tex]-75x^{7}y^{9}[/tex]
Step-by-step explanation:
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam. Find, using vectors, the tension in the cables.
The tension in both cables are calculated as; T₁ = 127.63 N and T₂ = 185.48 N
Resolving forces in the y direction gives us;
T₁ sin 29° + T₂ sin 53° = 210 ------(eq 1)
Resolving forces in the horizontal direction gives;
T₁ cos 29° = T₂ cos 53° ----(eq 2)
T₁ = T₂ cos 53°/cos 29°
Thus;
(T₂ cos 53°/cos 29°)sin 29° + T₂ sin 53° = 210
0.3336T₂ + 0.7986T₂ = 210
T₂ = 210/1.1322
T₂ = 185.48 N
Thus;
T₁ = 185.48 cos 53°/cos 29°
T₁ = 127.63 N
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If b = 5, then the exact value of a is?
Answer:
5sqrt3
Step-by-step explanation:
You can use trigonometry to figure out the answer
TOA is tan(any angle) = opposite/adjacent
Tan(30) = 5/x
tan(30) = sqrt3/3
x = tan inverse (30) multiplied by 5
x = 5sqrt3
Can someone please help me
need answer Asap! Lots of points!
Answer:
1
Step-by-step explanation:
Via calculator inputs.....
How are rays and angles related? a ray , and an angle is two . the measure of an angle related to the length of its sides. so, the measure of an angle the same at all distances from its vertex.
A ray is a part of a line that starts at a point (called the endpoint) and extends infinitely in one direction. An angle is formed when two rays share a common endpoint (vertex).
A ray has one endpoint: A ray is a one-dimensional figure that starts at a single point (the endpoint) and extends infinitely in one direction. On the other hand, an angle is formed by two rays, each with its own endpoint, meeting at a common vertex.
An angle is two rays: As mentioned earlier, an angle is created when two rays share a common endpoint. The two rays are referred to as the sides of the angle, and the endpoint they share is called the vertex.
The measure of an angle is determined by the amount of rotation: The measure of an angle is not dependent on the lengths of its sides but rather on the amount of rotation between its two rays. To measure an angle, we compare it to a standard unit of angle measurement, usually degrees. One full rotation (360 degrees) corresponds to a complete circle, and angles are measured based on the fraction of a full circle they represent.
The measure of an angle remains the same at all distances from its vertex: The measure of an angle is independent of the length of its sides or how far away an observer is from the vertex. For example, a 60-degree angle remains a 60-degree angle whether you look at it from up close or from a distance. This is because the measure of an angle depends only on the relative positions of its two rays, not on the size of the shape it forms.
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here is an illustration of a bedroom. the striped wall and the floor intersect at a
Rsm question please explain
The question is in the picture
A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.
Now In ΔAKE and ΔCKP,
∠A ≅ ∠C {Proved above}
∠AKE ≅ ∠CKP {Given}
AK ≅ KC {Given }
Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.
Hence, ΔAKE and ΔCKP are congruent.
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The diagonals of parallelogram abcd intersect at point e. to prove that bae= dce, all of the following could be used, except for which
a.the sum of measures of the interior angles of abcd is 360 degrees
b. abc = cda by sss
c. abc = cde by sss
d. given two parallel lines by transversal, alternates interior angles are congruent.
The only option that cannot be used to prove that the diagonals of parallelogram abcd intersect at point e is; Option C
How to determine quadrilateral proof?
A) The sum of the interior angles of any quadrilateral is 360° and so this is true about the parallelogram.
B) AB = CD and BC = DA from opposite sides of a parallelogram are equal. Also AC = CA because of reflexive property of congruence. Thus, ∠ABC ≅ ∠CDA
C) This is not true because ∠ABC ≅ ∠CDA instead of ∠ABC ≅ ∠CDE.
D) This is true because of the definition of a transversal.
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which shows the best use of the associative and commutative properties to make simplifying -1/3 - 10 +7 + 2/3 +5 easier A.[5+(-1/3)+(-10]+(2/3+7) B.[-1/3+7+(-10)]+(5+2/3 C.[-1/3+(-10)]+[7+2/3+5] D.(-1/3+2/3)+[5+7+(-10)]
The answer choice which best uses the associative and commutative properties is; Choice C; [-1/3+(-10)]+[7+2/3+5].
Which best shows the use of associative and commutative properties?It follows from the answer choices that the best application of the associative and commutative properties is that which sums up all negative numbers and sums up all positive numbers and hence, choice C is the correct answer choice.
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Calculate X+Y it in a row way 9
A farmer has only goats and hens in his farm,on a particular day,he sold 12 animals (goats and hens) and the total number of their legs was 32. how many goats and how many hens did he sell that day?
The number of goats sold is 4 and hens sold is 8.
What is an Equation ?An equation is a mathematical statement which equates two algebraic expression with an equal sign.
Let the total number of goats sold be g
Let the total number of hens sold is h
g + h = 12
The total no. of legs of a goats sold will be 4g
and the total number of legs of a hens sold will be 2h
and it is given that
4g +2h = 32
The system of equation formed is
g + h = 12
4g +2h = 32
Multiplying equation (1) by 2 and then (1) - (2)
-2g = -8
g = 4
Therefore the number of goats sold is 4 and hens sold is 8.
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A bakery makes and sells designer cakes. The function d (x) = 125€ represents
the income, in dollars, from selling a cakes. The function p (y) = y - 1620
represents the monthly profit, in dollars, if the bakery makes y dollars in income for
the month. What is the profit from selling 30 designer cakes in a single month?
The profit from selling 30 designer cakes in a single month is; $2130.
What is the profit for selling 30 cakes in a month?It follows from the task content that the income function as given is; d(x) = 125 × a.
Hence, when 30 designer cakes are sold, thee income is; 125 × 30 = 3750$.
The profit which is a function of the income y is given as; p (y) = y - 1620.
On this note, if follows that the profit is; p (y) = 3750 - 1620 = $2130.
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Given the points X(-2, 5) and Y(2, -3), find the coordinates of the point P on
directed line segment XY thatpartitions segment XY such that the ratio of XP
to PY is 4:1
(²,3)
5
( 71/17, 173737)
(7)
The coordinate of the point P will be (6/5, -7/5). Then the correct option is C.
The complete question is attached below.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divide the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
Given the points X(-2, 5) and Y(2, -3).
Then the coordinates of the point P on directed line segment XY that partitions segment XY such that the ratio of XP to PY is 4:1.
(x₁, y₁) = (-2, 5)
(x₂, y₂) = (2, -3)
m = 4
n = 1
Then the point will be
x = [4 × 2 + 1 × (-2)] / (4 + 1)
x = 6 / 5
y = [4 × (-3) + 1 × 5] / (4 + 1)
y = -7 / 5
The coordinate of the point P will be (6/5, -7/5).
Then the correct option is C.
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Which output in this table is incorrect
Answer:
B
Step-by-step explanation:
This is quite a trial and error question.
Given from the table
$1 cost of item = $0.08 tax on item
$2 cost of item = ($0.08x2) tax on item = $0.16 tax on item
$3 cost of item = ($0.08x3) tax on item = $0.24 tax on item
$8.50 cost of item = ($0.08x8.50) tax on item = $0.68 tax on item
$10 cost of item = ($0.08x10) tax on item = $0.80 tax on item
The only one that is different is the incorrect value therefore $0.64 is the incorrect one.
A contractor is purchasing some stone tiles for a new patio, each tile costs $3 and he wants to spend less than $1000 the size of each tile is 1 square foot, write and inequality that represents the number of tiles he can purchase with a $1000 limit, and the figure out how large the stone patio can be
Answer:
333.333 Tiles and 333.333 Square Foot
Step-by-step explanation:
3X <= 1000
X <= 1000/3
X <= 333.333 Tiles
Then
333.333* 1sqt2 = 333.333 Square Foot
two ships leave a port sailing 18km/h and 26 km/h. Their angle between their directions of travel from the port is 39 °. How far part are the skips to the nearest km after 2 hours
PLEASE HELP!
Which of the following is the graph of the piecewise function f (x) =
(photos attached)
The graph first represents the provided piecewise function option first is correct.
What is a piecewise function?The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.
[tex]\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}[/tex]
[tex]\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}[/tex]
[tex]\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}[/tex]
After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
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Thankyou guys for all your help….I need help with one more plsss
Round to the nearest tenth
I don't understand your question
Solve the following:
(20 - 5²) (16+2²)
-2³ + (3 x 2²)
Give your answer in simplest form.
Answer:
-96
Step-by-step explanation:
(20-25)(16+4)-8+(3x4)
=(-5)(20)-8+12
=-100-8+12
=-96
True OR False
------------------------
x - 62 = 44, x = 106
Answer:
True
Step-by-step explanation:
Step 1: We can plug 106 into x in the equation x - 62 = 44.
Step 2: Check if 106 - 62 = 44. It’s correct, so the answer is TRUE!!
Please mark me as Brainliest. Thanks[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:True [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: x - 62 = 44[/tex]
[ add 62 on both sides ]
[tex]\qquad \tt \rightarrow \: x - 62 + 62 = 44 + 62[/tex]
[tex]\qquad \tt \rightarrow \: x = 106[/tex]
The proved value is same as that of statement, hence the statement is correct.
Which rule can be used to describe the x-coordinates in the translation below ?
Answer:
The translation is [tex]X+0[/tex]
Step-by-step explanation:
A translation means the transformation that moves every point in a figure at the same distance in the same direction.
The translation can be described using words like moved up 3 and over 5 to the left or with the notation.
As for the given, there can be no rule described. so the translation is [tex]X+0[/tex]
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The translation is [tex]X+0[/tex]
A translation means the transformation that moves every point in a figure at the same distance in the same direction.
The translation can be described using words like moved up 3 and over 5 to the left or with the notation.
As for the given, there can be no rule described. so the translation is[tex]X+0[/tex]
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A 11 gram sample of a substance that’s used to treat thyroid disorders has a k- value of 0.125
The substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an exponential function:
[tex]\rm N = N_oe^{-kt}[/tex]
Plug N = N⁰/2
[tex]\rm N_o/2 = N_oe^{-kt}[/tex]
[tex]\rm \dfrac{1}{2} = e^{-0.125t}[/tex]
Solving for t:
t = 5.54 ≈ 5.5 days
Thus, the substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
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Multiplying Monomials and Binomials:16x(x+24)
add the following rational number7/-27 and 11/18
Answer:
19/54
Step-by-step explanation:
- 7/27 + 11/18
LCM of the 27, 18 is 54
- 7/27 * (2/2) + 11/18 * (3/3)
- 14/54 + 33/54
33 - 14/54
19/54
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quadrilateral ABCD is similar to quadrilateral EFGH find the measure of side EF round your answer to the nearest tenth if necessary
Answer:
EF = 2.9
Step-by-step explanation:
The geometric figures are similar so we can use the similarity ratio to calculate the length of EF:
GF/ CB = EF/AB
5/29 = EF/17 cross multiply expressions
29EF = 85 divide both sides by 29
EF = 2.9 approximately
Please help!!!!!
The equation of a circle is x² + y² – 8x + 10y + 37 = 0. What is the center and the radius of the circle? Show all your work.
Let's take this problem step-by-step:
Let's convert the equation back into the standard form:
⇒ standard form: (x-h)² +(y-k)² = r²
(h, k): center's coordinater: radius[tex]x^2+y^2-8x+10y + 37 = 0\\\rm \hookrightarrow x^2 - 8x + y^2+10y = -37\\\rm \hookrightarrow (x^2 - 8x) + (y^2 + 10y) = -37\\\rm \hookrightarrow (x^2-8x+16) + (y^2+10y+25) = -37 + 16 +25\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 4\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 2^2[/tex]
Based on the equation found
⇒ center: (4, -5)
⇒ radius: 2
Answer:
center: (4, -5)radius: 2Hope that helps!
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