Answer:
65°
Step-by-step explanation:
First we find the sizes of the other two sides, as the bottom line is straight all angles on it must add up to 180 so:
180-105=75
So the first angle is 75°
180-140=40
So the second angle is 40°
Now as the angles of a triangle add up to 180 we can derive this equation:
75+40+x=180
and all we do is just subtract both sides by 75 and 40:
x=180-75-40
x=65
And 65 is our answer
28 = 4/5 x - 8 What value of x makes the equation true?
Answer:
x will have to be 45 to make this true
Step-by-step explanation:
Use ruler and compasses to draw a triangle ABC with:
AB of length 3 cm, AC of length 4.5 cm and BC of length 2 cm.
According to the information we can infer that the triangle and its internal angles are: 76.7°, 125.2°, and 21.9°.
How to draw the triangle with the given measurements?To draw the triangle with the given measures we must take into account the internal angles so that the triangle is correct. Additionally we must take into account that it is a scalene triangle.
In this case, the internal angles are the most important part because it gives the shape of the triangle. These angles are:
76.7°125.2°21.9°So, according to the above, this triangles is scalene and its sides are:
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Please help!! ;(((( I’m struggling
On solving the provided question, we can say that - the function value will be [tex]g(x) = -3 + 12x + 15[/tex] and
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
Here,
[tex]y =a(x-x1)(x-x2),[/tex] y equals a(x-5)(x+1)
g(x) = -3(x-5)(x+1)
[tex]g(x) = -3(x-5)(x+1)[/tex]
g(x) = -3 + 12x + 15
y-intercept of g(x) is (0,15)
Therefore , the solution to the given problem of the equation comes out be y-intercept of g(x) is (0,15).
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How do you find the longest side of an acute triangle?
The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.
Triangle
A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Angle
A figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
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The null and alternative hypotheses divide all possibilities in to:
a. two sets that may or may not overlap .
b. as many sets as necessary to cover all possibilities c. two non-overlapping sets d. two sets that overlap reset selection
Answer:
Step-by-step explanation:
b
i need help with this question
The required slope of the linear equation is -3 which values shown in the table.
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
The table is given in the question as follows:
x y
-4 -15
-2 9
0 3
2 -3
4 -9
As per the question, we take the given points are (0, 3) and (4, -9).
So we can substitute these values into the formula:
m = (-9 - 3) / (4 - 0)
m = -12 / 4
Apply the division operation, and we get
m = -3
Therefore, the required slope of the linear equation is -3.
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Find the surface area of a cylinder with a height of and a base diameter of .
Use the value 3.14 for π , and do not do any rounding.
Be sure to include the correct unit.
Answer:
207.24 in.
(This is not a rounded answer)
Step-by-step explanation:
So, this will be very fun, simple, and easy!
First thing we do is use this formula, A(s) = 2πrh + 2πr²
We don't know the surface area yet, and that's what we are looking for, so first off we go ahead and plug in the radius, which is 6 divided by 2, and that's 3! The height is 8 inches!
Let's plug in 3.14 for pie too.
A(s) = 2(3.14)3(8) + 2(3.14)3²
Let's start solving.
A(s) = 150.72 + 2(3.14)3²
3 squared is 9!
A(s) = 150.72 + 56.52
A(s) = 207.24 inches
So, the answer is...207.24 in.! THat is the correct answer, but if I'm wrong, please comment so I can change my answer! Thanks for the points, have a great day or else!
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
Answer: It's 42
Since 48 + 90 = 138
And because every triangle equals 180 all you gotta do is add 42
How do you describe rational and irrational?
Rational and Irrational numbers can described as the number that can be expressed as [tex]\frac{p}{q}[/tex] are rational and which cannot be expressed are called as Irrational Numbers .
The Rational Numbers are defined as a number that can be represented in the form of [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex].
We can also , say that the fraction where the denominator and the numerator are integers and the denominator is not equal to zero are called as Rational Numbers .
For Example : [tex]\frac{2}{3} , \frac{4}{9}[/tex] represents a rational numbers .
The Irrational Numbers are defined as a real number that cannot be expressed as a ratio of integers .
For Example : [tex]\sqrt{2} , \sqrt{5}[/tex] represents a Irrational number .
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3. A prism has a right triangular base with legs of 2 and 6 inches, meaning the legs are the base and height of the triangle. The height of the prism is 4 inches. What is the volume of the
prism?
12 inches
24 inches
32 inches
48 inches
4. You are choosing between two different cheese wedges at the grocery store. Assume both wedges are triangular prisms with bases that are isosceles triangles. The first wedge has a base that is 2.5 in. wide and a height of 4.5 in., with the entire wedge being 3 inthick. The second wedge has a base that is 3 in. wide and a height of 4 in., with the entire wedge being 3.5 in. thick. Which wedge has a greater volume of cheese, and by how much?
A. The first wedge by 6.375 cubic inches
B. The first wedge by 12.75 cubic inches
C. The second wedge by 8.25 cubic inches
D. The second wedge by 4.125 cubic inches
5. A triangular prism has a base area of 43 square meters and a volume of 645 cubic meters. What is the height of the prism?
A. 12 m
B. 15 m
C. 25 m
D. 32 m
Answer:
c
b
Step-by-step explanation:
Convert 12 m/s in
to km/h
By using the conversion factor: 1 km/h = 0.277778 m/s, we get 12 meter per second is equal to 43.2 km/h.
What is velocity?Velocity is a vector quantity that represents the rate of change of an object's position. It is defined as the displacement of an object divided by the time it takes for that displacement to occur. In other words, velocity tells you how fast an object is moving in a certain direction.
What is the unit and formula for velocity?The standard unit for velocity is meters per second (m/s) or kilometers per hour (km/h) in the International System of Units (SI). In imperial system of units, it is expressed in feet per second (ft/s) or miles per hour (mph).
The formula for velocity is:
velocity = displacement / time
To convert 12 m/s to km/h, you can multiply 12 by the conversion factor:
12 m/s * (1 km/h / 0.277778 m/s) = 43.2 km/h
So 12 meters per second is equal to 43.2 kilometers per hour.
Another way to do the conversion is by applying the formula :
Speed (km/h) = Speed (m/s) x 3.6
12 x 3.6 = 43.2
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What role does place value have in finding 10% and 1% of a number? Write at least two complete sentences.
The fractions of the numbers are found as follows:
10% of a number is found moving the decimal digit one unit right.1% of a number is found moving the decimal digit two units right.How to divide a number by powers of 10?To divide a number by the nth power of 10, the decimal digit in the number is moved n units to the right.
The fraction that represents 10% of a number is given as follows:
10/100 = 1/10.
Meaning that the number is divided by 10, which is the first power of 10, and thus the decimal digit is moved one unit right in the number.
The fraction that represents 1% of a number is given as follows:
1/100.
Meaning that the number is divided by 100, which is the second power of 10, and thus the decimal digit is moved two units right in the number.
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Help me ….::::..::::&:88338
Answer:
y = [tex]\frac{1}{3}[/tex] x - 6
Step-by-step explanation:
9y - 3x = -54
We want in the form
y = mx + b
9y - 3x = -54 Add 3x to both sides
9y - 3x + 3x = 3x - 54
9y = 3x - 54 Divide all the way through by 9
[tex]\frac{9y}{9}[/tex] = [tex]\frac{3x}{9}[/tex] - [tex]\frac{54}{9}[/tex]
y = [tex]\frac{3}{9}[/tex] x - 6
We can simplify [tex]\frac{3}{9}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x - 6
Which expression is equivalent to this equation
Answer:
17-5
Step-by-step explanation:
lol XD I spent alot of time trying to answer this you better say thanks
A cone whose apex lies along its center axis and whose axis is perpendicular to its base is called a __________ cone.
A right cone is a cone whose apex is located along its center axis and whose axis is perpendicular to its base.
What is meant by right cone?When the line connecting the vertex to the circular base's midpoint forms the cone's axis, the cone is said to be right circular. In other words, the apex of the cone and the centre point of the circular base meet and form a right angle. Having a circular base and an apex or vertex, a cone is a three-dimensional solid. The cone whose axis line is parallel to the base is referred to as the right circular cone. In mathematics, a cone is a recognizable three-dimensional geometric shape having a smooth and curving surface pointing upward. The word "cone" comes from the Greek word "konos," which denotes a peak or a wedge.To learn more about right cone, refer to:
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please help: Can a triangle have side lengths with the given lengths? Explain. 8m, 10m, 19m
Answer:
no
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
8+10 is 18
which is less than 19
What is the circumference of a circle with sector area 9π and arc measure 90 degrees?
By using the area of circle formula, the solution of the given problem of circle comes out to be 6 + π cm
Describe the circle.Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.
Here,
A 9 Pi square centimeter circle's sector has a 60 degree center angle. The sector's exterior border is
Circle area is equal to. πR² = 9π
Circumference =2πR
=> 2π*3 = 6π cm
Arc length equals (60/360)*6 to cm
Arc's perimeter is calculated as follows: Radius + Length of Arc + Radius = π +3 + 3 = 6 + π cm
Therefore , the solution of the given problem of circle comes out to be
6 + π cm.
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By using the area of circle formula and circumference of a circle formula, the solution of the given problem of circle comes out to be 12π cm
Describe the circle.Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.
Here,
sector area of circle = 9π
arc measure = 90°
Area of sector = (arc/360°)*πr²
⇒ 9π = (90°/360°)πr²
⇒ 9π = (1/4)πr²
⇒ 4*9π = πr²
⇒ 36 = r²
⇒ 6² = r²
r = 6
and Circumference of circle = 2πr
=> 2π*6 = 12π cm
Therefore , the solution of the given problem of circle comes out to be
12π cm.
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Write an equivalent expression (2x+3y)+(4x+y)
Answer:
[tex]2 \times + 3y[/tex]
Edition:
(2x + 3y) + (4x + y) =
6x + 4y
Sorry, I did the wrong method, I used FOIL instead of combining like terms in order to write an equivalent expression.
The correct answer is 6x + 4y.
Which is 536,900 in scientific notation
Answer:
5.369 x 105
Step-by-step explanation:
Answer:
5.369 x 105
Cause in scientific notation, the decimal point is always after the first number from the left.
Which equation should be used to find the volume of the figure?
Answer:
The first one
Step-by-step explanation:
The figure shown is a rectangular pyramid
The volume of a rectangular pyramid can be calculated using the formula
[tex]V=\frac{1}{3} lwh[/tex]
where l = length of base, w = width of base and h = height
We have a given length of 6 in, a given width of 4 in and a given height of 8 in
That being said, we plug in the given values into the formula
[tex]V=\frac{1}{3} (6)(4)(8)[/tex]
This equation matches A therefore A is the answer
TEKS 7.61 Nataly has 6 pink bows, 1 blue bow, and 3 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nataly will choose a pink bow?
Given:
Number of pink bows = 6
Number of blue bows = 1
Number of purple bows = 3
Nataly will randomly choose 1 bow from the box.
To find:
The probability that the Nataly will choose a pink bow.
Solution:
The total number of bows is:
[tex]6+1+3=10[/tex]
The total number of bows is the total outcomes.
Total outcomes = 10
The number of pink bows is the favorable outcomes.
Favorable outcomes = 6
We know that, the probability that the Nataly will choose a pink bow is
[tex]\text{Probability}=\dfrac{\text{Number of pink bows}}{\text{Total number of bows}}[/tex]
[tex]\text{Probability}=\dfrac{6}{10}[/tex]
[tex]\text{Probability}=0.6[/tex]
Therefore, the probability that Nataly will choose a pink bow is 0.6.
A cone with a height of 15 yards has a volume of 475.17 yd^3 find the diameter of the cone
Answer: h = 15 yards
Volume = 475.17 cubic yards
Diameter = 5.5*2 = 11.0 = 11 yards
HOPE THIS HELPS
There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number. That smallest is 12,345 and the largest is 54,321. If these 120 numbers are listed in order from smallest to largest, what is the 73rd number in the list?
Answer:
41235
Step-by-step explanation:
There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,
The total number of times where each number will occur or be at first place is calculated as:
4! = 4 × 3 × 2 × 1
= 24
Hence,
24th number = The last number where 1 is at first place
We can write this out as:
12345
12354
12435
12453
12534
12543
13245
13254
13425
13452
13524
13542 e.t.c.
48th number = The last number where 2 is at first place
72nd place = The last number where 3 is at first place.
This means, the 73rd number is the first number where 4 is at first place.
Therefore, the 73rd number based on pattern is 41235
Beatrice has a rectangular swimming pool in her backyard. The dimensions are 16 feet by 8 feet. She decides to build a deck of uniform
width around the pool. Together the pool and the deck will have an area of 384 square feet.
a) write the expression to represent the length and the width of the swimming pool with the deck around it
b) find x, the width of the deck
Help me please I do not understand
9514 1404 393
Answer:
95
Step-by-step explanation:
The sequence of first differences is ...
32 -25 = 7
37 -32 = 5
47 -37 = 10
58 -47 = 11
71 -58 = 13
79 -71 = 8
These seem to have no pattern, so the sequence is not arithmetic, geometric, quadratic, or any other common type.
If we look at the digits of the numbers in the series, we see they have sums of ...
2 +5 = 7
3 +2 = 5
3 +7 = 10
4 +7 = 11
5 +8 = 13
7 +1 = 8
7 +9 = 16
That is, the difference between a number and the next in sequence appears to be the sum of the digits of the number. This rule tells us the next number is ...
79 +(7+9) = 95 . . . next number in sequence
_____
Additional comment
Sometimes, finding the rule is as much a right-brain activity as it is one of logic or deduction. Often, it is not obvious or easy. Questions like this one are intended to help you learn to think "out of the box."
raph g(x)=(x+2)(x - 1) - x^{2}g(x)=(x+2)(x−1)−x 2 by making a table and plotting the corresponding points. Then, determine if the function is linear, quadratic, or neither.
The graph from the function is a linear graph
How to determine the graph from the functionFrom the question, we have the following parameters that can be used in our computation:
g(x)=(x+2)(x−1)−x 2
Express properly
So, we have the following representation
g(x) = (x + 2)(x − 1) − x²
Next, we set x = 0, 1, 2 and 3 to determine the table of values
g(0) = (0 + 2)(0 − 1) − (0)² = -2
g(1) = (1 + 2)(1 − 1) − (1)² = -1
g(2) = (2 + 2)(2 − 1) − (2)² = 0
g(3) = (3 + 2)(3 − 1) − (3)² = 1
So, the table is
x 0 1 2 3
g(x) -2 -1 0 1
From the table above, we can see that as x increases by 1, y constantly increase by 1
This means that the function is a linear function
See attachment for the graph
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can someone please help me
Answer: m= 0 ; b= 16
(5,16) (-10,16)
Step-by-step explanation:
y=16 so dont need to find y cause it already there so (5,16) (-10,16)
m=y^2- y^1 / x^2-x^1
16-16 / -10-5 = 0/-15 = 0. So m= 0
b is y-intercept and we have y=16 so b=16
A child plants flower seeds in her backyard in May. The flowers bloom in July. Is this an example of a
positive, negative, or no relationship between data
1. a room has dimensions 15m by 9m by 12m the dimensions of its
scale model is 5m by
3m by 4m what is the ratio of the dimensions of the actual room to that of the scale
model
2. the ratio of the dimensions of the scale model to that of the
actual object s 1:16 the length and width of the actual object are
2.4m and 1.8m respectively
Answer: To find the ratio of the dimensions of the actual room to that of the scale model, we can divide the dimensions of the actual room by the dimensions of the scale model.
The dimensions of the actual room are 15m by 9m by 12m, and the dimensions of the scale model are 5m by 3m by 4m.
Therefore, the ratio of the dimensions of the actual room to that of the scale model is:
length: 15m / 5m = 3 : 1
width: 9m / 3m = 3 : 1
height: 12m / 4m = 3 : 1
So, the ratio of the dimensions of the actual room to that of the scale model is 3:1 for all dimensions (length, width, and height)
The ratio of the dimensions of the scale model to that of the actual object is 1:16
so to find the length and width of the actual object, you can use this relation
length = scale model length * 16 = 2.416 = 38.4m
width = scale model width * 16 = 1.816 = 28.8m
So the length and width of the actual object are 38.4m and 28.8m respectively.
Step-by-step explanation:
Calculate $0^5 + (-1)^4$.
The equation 0⁵ + (-1)⁴ involving exponents is solved to get
1
What are exponents in math?The way of representing huge numbers in terms of powers is known as an exponent.
Exponent, then, is the number of times a number has been multiplied by itself. exponents are also referred to as raise to power
When a zero is raised to the power of any number will yield zero zero, this is because when zero keep multiplying itself zeo will be the resulat repeated times
hence for the equation 0⁵ + (-1)⁴ the part that has zero will give zero remaking the part with a negative number
= 0⁵ + (-1)⁴
= (-1)⁴
= -1 * -1 * -1 * -1
= 1 * 1
= 1
hence the answer is 1
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