Using Pythagoras theorem, the length of the missing side is 16.6 units
What is Pythagorean TheoremA right-angled triangle's hypotenuse, or side opposite the right angle, has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the lengths of the other two sides. Pythagoras, an ancient Greek mathematician, is credited with discovering and proving the theorem, and it bears his name.
The theorem can be written as an equation:
c^2 = a^2 + b^2
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
Data;
a = ?b = 15c = 17Substituting the values and solve for a
a² + b² = c²
17² = a² + 15²
a² = 17² - 15²
a² = 274
a = √274
a = 16.6
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please solve il give brainlest
Answer:
x ≥ 8
Step-by-step explanation:
It will take 8 hours. The underline underneath represents “greater than or equal to”
Answer:
Inqueality: 2.5cx greater than or equal to -20c
Solved: x greater than or equal to 8.
Graph the 3 lines k, l, and m based on the following
information: Line k is parallel to line / and perpendicular to
line m. Line k passes through the origin (0, 0) and has a slope
of ½. Line m intersects line k at the point (4, 2). Line / has a y-
intercept of 4. Graph and label the 3 lines. Circle the letter of
the statement below which is false. Explain why it is false.
Step-by-step explanation:
If l and k are lines in the xy-plane, is the product of the slopes of l and k equal to -1 ?
(1) Line l passes through the origin and the point (1,2).
(2) Line k has x-intercept 4 and y-intercept 2
What is the expression 1/5
Answer:
"1/5" is the expression of "one divided by 5", because fractions can represent division as well as a ratio.
Answer:
one divided by 5 I think (Sorry if I'm wrong!)
13. Find the value of x.
127°
112
108
120°
X=
The value of x is 73°
Sum of interior angles in Polygon:A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges.
The geometric shape known as a pentagon has five sides and five angles. Penta here means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon's internal angles add up to 540°.
Here we have a five-sided Polygon
And the angles are 127°, 112°, 108°, 120°, and x°
As we know the sum of angles = 540°
=> 127° + 112° + 108° + 120° + x° = 540°
=> 467° + x° = 540°
=> x° = 540° - 467°
=> x° = 73°
Therefore,
The value of x is 73°
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Complete question:
Find the value of 'x' in the given Polygon.
15 weavers can weave some length of cloth in 1 hr 24 minutes how many more weavers will be required to do the same job in 60 minutes
First, we need to convert the time of 1 hour and 24 minutes into minutes. Since there are 60 minutes in an hour, 1 hour and 24 minutes is equivalent to 1 * 60 + 24 = 84 minutes.
Now we can find out how much cloth 15 weavers can weave in 60 minutes by dividing the cloth length woven in 84 minutes by 84 and then multiplying the result by 60.
Let's call the length of cloth "L"
L = (15 * 84) / 60 = 21
So, 15 weavers can weave 21 units of cloth in 60 minutes.
If we want to find out how many weavers will be required to do the same job in 60 minutes, we can divide the length of the cloth by the number of weavers.
15 weavers = 21 units of cloth
So, the number of weavers required to weave the same amount of cloth in 60 minutes is 21/15= 1.4
So, 1 more weaver will be required to do the same job in 60 minutes.
f f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
12
14
36
38
Answer:
(b) 14
Step-by-step explanation:
You want the difference of functions f(x) = 3x² +1 and g(x) = 1 -x when x=2.
DifferenceThe notation (f -g)(x) means f(x) -g(x). Then (f -g)(2) is ...
f(2) -g(2) = (3·2² +1) -(1 -2) = 13 -(-1) = 14
The value of (f -g)(2) is 14.
EASY POINTS!
Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?
The temperature at the beginning of the week was 166.43°, and the temperature now is 119.63°.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Let's represent the initial temperature "T". Then, the temperature after one week is T - 46.8.
The percent change in the temperature is given as 72%. So, we have:
(T - 46.8) / T = 72% / 100%
Solving for T, we get:
T = 46.8 / (1 - 72%) = 46.8 / 0.28 = 166.43°
So the temperature at the beginning of the week was 166.43°, and the temperature now is 166.43° - 46.8° = 119.63°.
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HELP ME OUTTTTT...........
The required measure of the segment ST is 2(a + b).
What is the midpoint?Midpoint is that point on the line whose distance from both ends of the line is equal.
Here,
Draw segment ST, put point Y where a line bisects the segment ST,
SY = a + b
Since y is the midpoint of the line ST, so,
ST = SY + YT [SY = YT]
ST = a + b + a + b
ST = 2[a + b]
Thus, the required measure of the segment ST is 2(a + b).
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Graph the quadrilateral with the given vertices in the coordinate plane.
Because EF = GH = 4, EF≅GH, Because these are vertical line segments, their are slope undefined and they are parallel. EF and GH are opposite sides that are equal and parallel. So, EFGH is a parallelogram by the definition of a parallelogram.
What is a parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are equal in length, and its opposite angles are equal in size.
Given that E(-3,0), F(-3,4), G(3,-1),H(3,-5)
The quadrilateral is attached below.
The distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].
The length of EF is √[(-3 -(-3))² + (4- 0)²] = √4² = 4
The length of GH is √[(3 -3)² + (-1- (-5))²] = √4² = 4
Therefore, EF = GH = 4
The line segments are congruent.
The line segments are vertical, thus the slope of the line is undefined.
If opposite sides are equal and parallel, then the quadrilateral is a parallelogram.
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A two digit number is 3 more than 3 times the sum of its digits. The tens digit is 6 less than the units digit, If t= the tens digit and u = the units digit, which system must be true?
A. t - u=6
10t + u =3t + u - 3
B. t = u - 6
10t + u = 3t + u - 3
C. t - u = 6
10t + u =3( t + u ) - 3
D. t = u - 6
10t + u = 3( t + u ) + 3
Answer:
D.
Step-by-step explanation:
t = tens digit
u = units digit
"A two digit number is 3 more than 3 times the sum of its digits."
10t + u = 3(t + u) + 3
"The tens digit is 6 less than the units digit."
t = u - 6
System of equations:
10t + u = 3(t + u) + 3
t = u - 6
Answer: D.
Ans D
The 2- digit number can be represented as 10t+u.
Given tens digit is 6 less than units digit. So t = u - 6. -----(1)
The number is 3more than 3 times the sum of its digit.
Sum of digits = t+u
So
10t+u = 3+[3(t+u)] ---------(2)
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
Answer:
(fg)(-2) = 18
Step-by-step explanation:
f(x) = 8 – 10x
g(x) = 5x + 4
To find (fg)(-2) or f(g(-2)), first let's find g(-2) by subbing -2 in for x in g(x):
g(x) = 5x +4
g(-2) = 5(-1) +4 = -5+4 = -1
Knowing g(-2)=-1, we can now find f(g(-2)) by subbing -1 in for x in f(x):
f(x) = 8 – 10x
f(-1) = 8 - 10(-1) = 8+10 =18
Evaluate the square root of 9 + 4√5 in the form c + √d
Step-by-step explanation:
Here we are interested in finding the square root of [tex] 9 +4\sqrt5[/tex] . So , we have
[tex]\longrightarrow \sqrt{ 9+4\sqrt5}[/tex]
We can write it as ,
[tex]\longrightarrow \sqrt{ 5 + 4 + 4\sqrt5} [/tex]
This can be again rewritten as ,
[tex]\longrightarrow\sqrt{ (\sqrt5)^2+2^2+ 2(2)(\sqrt5) } [/tex]
Now this in the form of [tex] a^2+b^2+2ab [/tex] form which is the square of [tex] (a+b)[/tex] . So that,
[tex]\longrightarrow \sqrt{ (2+\sqrt5)^2}[/tex]
Simplify the root ,
[tex]\longrightarrow 2 + \sqrt5[/tex]
Hence we got our answer in the form of [tex] c +\sqrt{d}[/tex]
And we are done!
—Rishabh
Exact quotient: 216.6/38
Answer:
5.7
Step-by-step explanation:
216.6/38=5.7
Rajani wants to use a sheet of fiberboard 31 in long to create a skateboard ramp with a 19° angle of elevation from the ground how high would a ramp rise if the ground is at its highest end
The height of the ramp above the ground is 10.1 inches.
How to find the height of the ramp?Rajani wants to use a sheet of fibreboard 31 in long to create a skateboard ramp with a 19° angle of elevation from the ground.
The height of the ramp can be calculated as follows:
The situation forms a right angle triangle.
Using trigonometric ratios,
sin 19 = opposite / hypotenuse
where
opposite side = height of the ramp
hypotenuse = 31 inches
Therefore,
sin 19 = x / 31
cross multiply
x = 31 sin 19
x = 31 × 0.32556815445
x = 10.0926127882
Therefore,
height of the ramp = 10.1 inches
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helpp pleaseeeeeeeeeeeeee
The table that represents the situation when a mattress store is having a sale and are 30% off will be D. Table D.
How to calculate the sales price?From the information given, the table that represents the situation when a mattress store is having a sale and are 30% off.
In this case, Nate wants to know the sale price of the matress that is regularly $1000.
The price after the discount will be:
= $1000 - (30% × $1000).
= $1000 - $300
= $700
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write an algebraic expression for y multipied by z
Answer:
y(z)
Step-by-step explanation:
sorry that was my opinion
1. What percentage of seventh-grade students prefer hamburgers or hotdogs for lunch ?
2. What percentage of eighth graders prefer pizza or hot dogs for lunch?
3. What percentage of the students in both grades prefer hot dogs for lunch?
Whitney drinks 1,500 mL of water each day troy drinks 1.8 L of water each day
Who drinks more water?
By how much water?
The person who drinks more water between Whitney and Troy is Troy.
Troy drinks 0.3liters of water more than Whitney.How to convert millimeters to liters?Quantity of water Whitney drinks daily = 1500 ml
1000 milliliters = 1 liter
1500 milliliters = 1.5 litres
Quantity of water Troy drinks daily = 1.8L
The person who drinks more water= Quantity of water Troy drinks daily - Quantity of water Whitney drinks daily
= 1.8L - 1.5L
= 0.3L
In conclusion, Troy drinks 0.3 liters more water than Whitney.
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after 25% increase in price the new price is 300.what was the increased price
Answer:
Step-by-step explanation:
187.5
Can someone please give me the answer I really don’t get this
A transition known as a dilation enlarges or reduces an object by a certain amount. Using a scale factor of 2, we can dilate a triangle.
What exactly does it mean to "dilate" a triangle?I One way to make related figures is through dilation. By multiplying distances by the scale factor, each point is drawn farther away from the central point D. In the event when the scale factor is greater than 1, outward. The triangle's shape can be modified by moving the points A, B, and C.Assume that in the coordinate plane, the origin (0, 0) serves as the center of dilation. The original triangle's coordinates are multiplied by the scale factor (if it is 1/2) at each point if the scale factor. Multiply by half after a scale factor of 1/2 dilation. By multiplying the coordinates of each vertex by the scale factor, a triangle can be enlarged by a factor of 2/3. The new coordinates will be (2/3x, 2/3y), for instance, if the vertex's coordinates are (x, y).The complete question is,
How can a triangle be widened by two and three?
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Deena bought some shirts at the store for $9 each and received a $25 discount. Her total bill was $74. Find the number of shirts she bought
Answer:
11
Step-by-step explanation:
If we know that she paid $74, and the discount is $25, we need to figure out the total price of the shirts before the discount.
74 + 25 = 99
Now that we know she spent $99 on shirts, we can divide that by 9 to get the number of shirts purchased.
99 ÷ 9 = 11
Therefore, she bought 11 shirts.
What is the measure of L? A. 25 B. Cannot be determined C. 39 D. 32
The required measure of ∠L=25° for the given triangle.
What is a Triangle?A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:
∠KJL = ∠JLK
Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK
∠JLK = 25°
Thus, the required measure of ∠L=25°.
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A student doing a research paper on acquired immune deficiency syn-
drome (AIDS) learns that 1/6 of the people with AIDS are in their 20s.
Because the latency period between the time of the HIV infection and
the onset of AIDS is about 10 years, most of these people were infected
as teenagers. If there are 133,758 cases of AIDS, how many were prob-
ably infected as teenagers?
If there are 133,758 cases of AIDS, 22,293 were probably infected as teenagers.
What do you mean by research paper?A research paper is a written work that presents the results of original research or provides an in-depth analysis of a particular topic or issue. Research papers are typically written by scholars, academics, or students, and are commonly submitted as part of a course assignment, a doctoral or master's degree requirement, or for publication in a scholarly journal.
A research paper typically includes several key elements: an introduction that provides background information on the topic and sets the stage for the rest of the paper; a literature review that summarizes existing research on the topic; the methodology section that describes the methods used to conduct the research; the results section that presents the findings of the research; and a discussion or conclusion section that interprets the results and places them in the context of the broader field of study.
The writing style of a research paper is usually formal and objective, with a focus on clearly and accurately communicating the results of the research. Research papers often include citations and references to other works, which demonstrate the writer's familiarity with the literature and support the validity of their findings.
If 1/6 of the people with AIDS are in their 20s, then 1/6 of 133,758 cases is 133,758 / 6 = 22,293 cases.
These 22,293 people with AIDS in their 20s were probably infected as teenagers, so the answer is 22, 293 cases were probably infected as teenagers.
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Select the correct answer.
Sides of three square rooms measure 13 feet each, and sides of two square rooms measure 15 feet each. Which expression shows the total area of
these five rooms?
A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.
We know that a square has 4 sides of the same length, meaning that the length and the width are the same length. You can solve for the area of the first three rooms with a length of 13 feet using an equation like this:
(13 × 13) × 3
Now, for the other two rooms with the length of 15 feet:
(15 × 15) × 2
Simply add them together.
([13 × 13] × 3) + ([15 × 15] × 2)
Simplified, the expression would look like this:
(169 × 3) + (225 × 2) = 957
Therefore, the expression that shows the total area of these five rooms would look like this: ([13 × 13] × 3) + ([15 × 15] × 2), or it being simplified would look like this: (169 × 3) + (225 × 2) = 957
Select all the algebraic expressions equivalent to m5/n5
A: (mn–1)5
b: (mn)5
C :[(mn2)]–3
d: (mn)–5
e: m5n–5
help
Graph g(x)=4cosx .
Use 3.14 for π .
5 because the value of pi is 3.14 and therfore the graph must be a rational and a multiple of 3
I REALLY NEED HELP! I DOMT UNDERSTAND
Answer:
P = 0.886 (88.6%)
Step-by-step explanation:
Of the 44 students there are 5 who do not apply to be chosen
[tex]P=\frac{44-5}{44} =\frac{39}{44} =0.886[/tex]
P = (0.886)(100) = 88.6%
Hope this helps.
Diana says that the quadrilateral on the right is a rhombus.
Melissa says that the quadrilateral on the left is a rhombus. Who is correct?
An image shows two quadrilaterals. They are facing different directions, but each of them has two pairs of opposite sides that are parallel and equal in length.
A.
Diana is correct. Only the quadrilateral on the right has two pairs of parallel sides and all sides the same length.
B.
Melissa is correct. Only the quadrilateral on the left has two pairs of parallel sides and all sides the same length.
C.
Both are correct. Both quadrilaterals have two pairs of parallel sides and all sides the same length.
D.
Neither is correct. Neither figure has all sides the same length.
Both are correct. Both quadrilaterals have two pairs of parallel sides and all sides are the same length. Option C is correct.
What is inductive reasoning?Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.
Here,
The question seems to be incomplete, so we assume that both figures are congruent figures,
As mentioned in the question, Diana says that the quadrilateral on the right is a rhombus and Melissa says that the quadrilateral on the left is a rhombus. Besides their statements both figures will be rhombus then as both figures are similar and have two pairs of opposite sides that are parallel and equal in length.
Thus, option C is correct.
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Give the explicit formula of the sequence ( 4…7…10…13….16)
Answer:x.....x+3....
Step-by-step explanation:you will take any number x and keep adding 3 to the result to get the given sequence
1. How many faces, vertices, and edges do the pyramids have? Name at least
three patterns you notice.
Pyramid have faces=n triangles & 1 n-sided polygon
Edges=2n
vertices=n + 1
What are edges?An edge is a line segment that serves as a transition between two faces. It is also sometimes referred to as the line segment that connects two vertices.
What are vertices?The location where two or more edges intersect is the formal definition of the vertex in mathematics. The corner points are called vertices.
What are faces?A solid's face refers to each unique flat surface. Solids have multiple faces.
The number of faces in a pyramid is equal to one more than the base's polygon's number of sides.
faces = n triangles & 1 n-sided polygon
One more than the number of sides at the base of the polygon makes up the number of vertices in a pyramid.
hence, vertices = n + 1
Two times the number of sides at the base of a polygon equals the number of edges on a pyramid.
Therefore, edges = 2n
A pyramid has n triangles & 1 n-sided polygon Faces
A pyramid has 2n Edges.
A pyramid has n + 1 Vertices.
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