Answer:
[tex]75.0^{\circ}[/tex]
Step-by-step explanation:
Let the angle of elevation be [tex]\theta[/tex].
[tex]\tan \theta=\frac{320}{86} \\ \\ \theta=\tan^{-1} \left(\frac{320}{86} \right) \\ \\ \theta \approx 75.0^{\circ}[/tex]
Pleeeassee heeeelp! This is due tomorrow
The amount of money Mina will receive in dollars is $13.33 USD.
How to find the amount received in dollars?Mina returned from a trip and needs to exchange 18 pounds GBP back to USD. She finds that the current exchange rate is 1.35 pounds GBP to $1.00 USD.
Therefore, the amount of money Mina will receive in dollars can be calculated as follows:
Therefore,
1.35 pounds = 1.00 dollars
18 pounds = ?
cross multiply
Therefore,
amount of money in dollars she will receive = 18 × 1.00 / 1.35
amount of money in dollars she will receive = 18 / 1.35
Therefore,
amount of money in dollars she will receive = 13.33 dollars
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What is the quotient of 2 3 and 2 9?
The formula to calculate the quotient of 2 3 and 2 9 is written as 2 3 divided by 2 9, or 2 3 / 2 9.
To calculate the answer, first divide 2 by 9, which is equal to 0.22. Then multiply 0.22 by 3, which is equal to 0.66. The final answer is 0.66.
In order to solve this problem, the division operation was used. The first number, 2 3, was divided by the second number, 2 9. The division operation was used to determine how many times the second number could fit into the first number. The answer of 0.66 means that 2 9 can fit into 2 3 0.66 times. This answer can be written as 0.66, or as a fraction, 2/3.
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In this triangle below, what is the side adjacent?
By analyzing the question, The side adjacent to angle L is D)JR.
What is adjacent side of triangle?In a triangle, adjacent sides are sides that share a common vertex (or corner) and are next to each other.
What is angle?An angle is the amount of rotation between two lines or planes that share a common point. It is typically measured in degrees or radians.
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What are the 6 types of triangle explain with example?
Answer:
There are six types of triangles based on their side lengths:
Equilateral Triangle: A triangle with all sides of equal length. For example, a triangle with sides of 3cm each is an equilateral triangle.
Isosceles Triangle: A triangle with two sides of equal length. For example, a triangle with sides of 2cm, 2cm, and 3cm is an isosceles triangle.
Scalene Triangle: A triangle with no sides of equal length. For example, a triangle with sides of 2cm, 3cm, and 4cm is a scalene triangle.
Acute Triangle: A triangle with all angles measuring less than 90 degrees. For example, a triangle with angles measuring 60, 75, and 45 degrees is an acute triangle.
Right Triangle: A triangle with one angle measuring exactly 90 degrees. For example, a triangle with angles measuring 45, 45, and 90 degrees is a right triangle.
Obtuse Triangle: A triangle with one angle measuring more than 90 degrees. For example, a triangle with angles measuring 90, 45, and 45 degrees is an obtuse triangle.
Step-by-step explanation:
An online pet store ships two cases of dogs and four bags of treats the dog food weighs 13 1/2 ounces per camp and there are 12 cans in the case the dog treats are shown right and evaluate an expression to show the total weight of the items
The total weight of the items is 29.25 lb.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The wight of one can = 13 1/2 = 27/2 pounce
and, number of cans in one case = 12
So, total weight of the items
= 1/16 ( 27/2 x 12 x 2)+ 4x 2.375
= 1/16 ( 324) + 9.5
= 81/4 + 9.5
= 20.25+ 9.5
= 29.25 lb
Hence, the weight is 29.25 lb.
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What is the quotient of the following division problem? x + 2 x + 1 x2 + 3x + 2 0.
The quotient of the division problem is (x + 1)/(x +2). The result is obtained by determining the factors of the two quadratic equations.
How to find the factors of a quadratic equation?The quadratic equation can be expressed as
ax² + bx + c = 0
Where c is a constant.
To find the factors of a quadratic equation, follow these steps!
Find the two numbers that the product is equal to ac and the sum is equal to b.Use them as the common factors and simplify.Find the quotient of (x² + 2x + 1)/(x² + 3x + 2) = 0!
For quadratic equation x² + 2x + 1:
a = 1, b = 2, c = 1.ac = 1The two numbers are 1 and 1 → 1+1 = 2 and 1×1 = 1.The common factors: (x + 1)(x + 1)
For quadratic equation x² + 3x + 2:
a = 1, b = 3, c = 2.ac = 2The two numbers are 2 and 1 → 2+1 = 3 and 2×1 = 2.The common factors: (x + 2)(x + 1)
The quotient of the quadratic equations is
(x² + 2x + 1)/(x² + 3x + 2) = 0
(x + 1)(x + 1)/(x + 2)(x + 1) = 0
(x + 1)/(x + 2) = 0
Hence, the quotient of the quadratic equations is (x + 1)/(x + 2) = 0.
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find ALL the missing side lengths and angle measurements.
Therefore ,the solution to the given problem of angles comes out to be
∠K= 66 degree,LK length = 2√2 unit LK length = 2√2 unit.
What are angles?In Geometrical, an angled is a structure made up of two rays, known as the angle's face, that converging at the vertex, or center, of the angle. It is feasible for two beams to form an angle within a plane depending on where they are placed. An angle is also created when two planes intersect. The nomenclature to them is diahedral angles. In plane geometry, light rays or lines with the same ending can have many different forms, or angles. The Latin word "angulus," which means "horn," is where the word "angle" in English comes from. The vertex, also known as the vertex of the angle, is the point at where the two rays meet.
Here,
Given: A right angle triangle MKL
∠M = 24 degree
and ∠K =90 degree
Thus,
=> ∠L + ∠M +∠K =180
=> 90 + 24 + ∠K = 180
=>∠K =180-114
=> ∠K= 66 degree
and
LK length = 2√2 unit
LK length = 2√2 unit
Therefore ,the solution to the given problem of angle comes out to be
∠K= 66 degree,LK length = 2√2 unit LK length = 2√2 unit.
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Find the measure of angle TSB.
The measure of angle TSB is m ∠TSB = 40°.
What is inscribed angle?
In terms of geometry, an inscribed angle is the angle created when two chords intersect within a circle. It can also be described as the angle formed by two specified points on a circle at a given point on the circle. Two chords of the circle sharing an endpoint are equivalently used to define an inscribed angle.
Given:
The measure of arc BR = 100°.
We have to find the measure of angle TSB.
Since the measure of half of the arc is 180°.
⇒ TR = 180°
TS + BR = 180°
TS + 100° = 180°
TS = 180° - 100°
TS = 80°
The measure of arc TS is 80°.
Since,
TS = 2 m ∠TSB
⇒ m ∠TSB = 1/2TS
m ∠TSB = 1/2(80°)
m ∠TSB = 40°.
Hence, the measure of angle TSB is m ∠TSB = 40°.
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Someone please help!
Answer:
v/202
Step-by-step explanation:
formula: leg² + leg² = hyp²
11² + 9² = hyp²
121 + 81 = hyp²
202 = hyp²
v/202 = v/hyp²
hope this makes sense
In ΔNOP, n = 61 inches, mm∠N=140° and mm∠O=31°. Find the length of o, to the nearest inch.
The length of side o is, 48.6 inches.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔNOP,
⇒ n = 61 inches, m ∠N = 140° and m ∠O = 31°.
Now, Let the length of side o = x
So, By sine rule, we get;
⇒ sin N / n = Sin O / o
Substitute all the values, we get;
⇒ sin140°/ 61 = sin 31° / x
⇒ 0.64 / 61 = 0.51 / x
⇒ x = 0.51 × 61 / 0.64
⇒ x = 48.6 inches
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Copy and complete this sentence to describe the shaded region: The locus of points inside triangle ABC that are closer to AB / BC / AC than to AB / BC / AC A B 40° 40° C
The locus of points inside triangle [tex]ABC[/tex] that are closer to [tex]AB[/tex] than [tex]BC[/tex].
How many triangles are there in a 7 piece?
A collection of seven geometric objects known as the Tangram is composed of five triangles (two tiny, one medium, and two large), a square, and a parallelogram.
In the given question, we have to find how many triangles are there in a 7 piece.
As we know that a collection of seven geometric objects known as the Tangram is composed of five triangles (two tiny, one medium, and two large), a square, and a parallelogram.
A dissection problem called a tangram is made up of seven flat polygons, or tans, that are combined to make various shapes. The goal is to use each of the seven parts separately to duplicate a pattern that is typically found in a puzzle book.
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How can you convert 5 gallons to quarts?
Answer: There are 4 quarts in a gallon so to convert 5 gallons to quarts you would multiply 5 x 4 = 20 quarts.
how many even 5 digit whole numbers are there
Answer:
Below
Step-by-step explanation:
From 10 000 to 99 999 there are 90 000 numbers of which half are even = 45 000 even 5-digit numbers
cos 2x + 3 = 4 can some one help me with finding all solutions
Answer:
x=0 or x=pi / x=πn
Step-by-step explanation:
cos2x + 3 = 4
subtract 3 from both sides
cos2x = 1
take the inverse cos/arccos of both sides
arccos(cos2x) = arccos(1)
2x=0 or 2x=2pi
divide both sides by 2
x=0 or x=pi
beyond (0,2pi) for every possible answer you should do x=(pi)n since any multiple of pi gives you the same answer
Question 1 of 25
Which is an equation of the line through (0, 0) and (-3,-7)?
OA. y=-7x
O B. y = x
OC. y=-3x
OD. y = x
SUBMIT
The equation of the line with points (0.0) and (-3,-7) is y = 7/3 * x
What is Coordinate Geometry ?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more integers, or coordinates.
The study of geometry using coordinate points is known as coordinate geometry (also known as analytical geometry). Finding the distance between two points, breaking lines into m:n segments, locating a line's midpoint, computing a triangle's area in the Cartesian plane, and other operations are all feasible using coordinate geometry.
The points are (0,0) and (-3, - 7)
The equation of the line will be
y - 0 = (-7 - 0)/(-3-0) * (x - 0)
⇒y = 7/3 * x
The equation of the line with points (0.0) and (-3,-7) is y = 7/3 * x
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What is the LCM and HCF of 4 and 10?
The Least Common Multiple (LCM) of 4 and 10 is 20, and the Highest Common Factor (HCF) of 4 and 10 is 2.
HCF is the highest integer that can divide 4 and 10 is 2. HCF stands for Highest Common Factor.
Now, 4 and 10 can be expressed as:
4 = 2 × 2
10 = 2 × 5
The common prime factor is 2.
Therefore HCF (4, 10) = 2
The Least Common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers.
Similarly, Calculating the LCM, 4 and 10 can be expressed as;
4 = 2 x 2
10 = 2 x 5
LCM (4, 10) = 2 x 2 x 5 = 20
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In the equation 33.7 divided by 9.5 what would you round each number to
Chloe is trying to pick out outfit for the first day of school. she can choose from 4 pairs pair of pants 4 t-shirts, 2 pair of shoes. how many different outfits does chloe have choose from
Answer: 32
Since you have 4 choices of shirts, then 4 choices of shorts, and then 2 choices of shoes, the formula should be set up as 4 x 4 x 2. This gives you 32 outfit options.
Solve 6 sin² (x) - 5 cos(x) — 7 = 0 for all solutions 0 < x < 2π
x =
6 sin² (x) - 5 cos(x) — 7 = 0 for all solutions 0 < x < 2π : x = π
What is meant by integer?Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of the equivalent positive numbers, which are additive, are the negative numbers. The blackboard bold mathbb Z or boldface Z is a common way to represent the set of integers in mathematical terminology. Only positive and negative whole numbers as well as natural numbers are included in the category of integers, a form of real number. Integers cannot include fractions, but real numbers can because of rational and irrational numbers.[tex]& \sin ^2 x-5 \cos x=5 \\[/tex]
[tex]& 1-\cos ^2 x-5 \cos x=5 \\[/tex]
[tex]& \cos ^2 x+5 \cos x+4=0 \\[/tex]
[tex]& \cos ^2 x+\cos x+4 \cos x+4=0 \\[/tex]
[tex]& \cos x(\cos x+1)+4(\cos x+1)=0 \\[/tex]
[tex]& (\cos x+1)(\cos x+4)=0 \\[/tex]
[tex]& \cos x+1=0 \quad(\because \cos x \neq-4) \\[/tex]
[tex]& \cos x=-1 \\[/tex]
[tex]& \cos x=\cos \pi \\[/tex]
[tex]& x=(2 k+1) \pi[/tex]
Where, k is any integer i.e k = 0 ± 1, ± 2, ± 3,....
But x ∈[0,2π) hence setting k = 0 we get the solution
x = π
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make model of corresponding, co-interior and alternate by using toothpick, straw etc. Please say how to do it
To make a model of corresponding angles using toothpicks or straws, you can take two pieces of the material and place them next to each other at the same angle.
What are corresponding angles?When two parallel lines are intersected by another line, corresponding angles are the angles that are created in matching corners or corresponding corners with the transversal.
To make a model of co-interior angles, you can place the two pieces of material on top of each other, with one inside the other at the same angle. To make a model of alternate angles, you can place the two pieces of material on opposite sides of a straight line, with one angle facing up and the other angle facing down.
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Complete question
make a model of corresponding angles using toothpicks or straws
A pediatric dentist office has a toy chest with 7 puzzles, 4 squishy balls, 5 pairs of play sunglasses, and 9 fidget spinners. If a child is allowed to pick two prizes, without looking and without replacement, then what is the probability that the child will select a pair of sunglasses both times?
The probability that the child will select a pair of sunglasses both times is; 1/25
What is the probability of selection?We are given the contents of the toy chest as;
7 puzzles
4 squishy balls
5 pairs of play sunglasses
9 fidget spinners
Total toy chest = 7 + 4 + 5 + 9
= 25
Probability of first choice being sunglasses = 5/25 = 1/5
Probability of second choice being sunglasses = 5/25 = 1/5
P(two choices being sunglasses) = 1/5 * 1/5 = 1/25
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Polynomial function R is the difference of two degree-2 polynomial functions P and Q. What are the possible degrees for R? Explain.
Polynomial function R is the difference of two degree-2 polynomial functions P and Q. the possible degree of Polynomial R is
D. The possible degree(s) is/are 2, 1, and 0 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancelWhat is a polynomial function?A polynomial function is a function in an equation, such as the quadratic equation or the cubic equation, that only uses non-negative integer powers or only positive integer exponents of a variable.
A polynomial function of degree 2 is a quadratic function.
The degree of polynomials can only increase during multiplication, when polynomials are added or subtracted the result will have a degree which is at most the degree of the functions operated on.
Polynomial of degree zero are constants and hence is possible in the case
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complete question
Polynomial function R is the difference of two degree-2 polynomial functions P and Q. What are the possible degrees for R? Explain.
Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Use a comma to separate answers as needed)
A. The possible degree(s) is/are because it must be equal to the greater of the degrees of P and Q.
B. The possible degree(s) is/are because it must be equal to the lesser of the degrees of P and Q.
C. The possible degree(s) is/are because it must be less than the degree of either P or Q
D. The possible degree(s) is/are because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel
A 2 column table with 5 rows. The first column, yards of red fabric, x, has the entries 1, 2, 3, 4. The second column, yards of blue fabric, y, has the entries 27, 26, 25, 24.
Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she might buy. Which equations model the total yards of fabric Sophie will buy? Check all that apply.
The answer choices which correctly represent equations which model the total yards of fabric Sophie will buy is; x + y = 28, 28 - x = y and 28 - y = x.
Which equations correctly model the total yards of fabric Sophie will buy?It follows from the attached table, where x represents the yards of red fabric she buys and y represents the yards of blue fabric she buys.
It follows that the following x and y pairs are possible; (1, 27), (2, 26), (3, 25) and (4, 24).
On this note, it can be inferred that in each of the red and blue fabric pairs; x + y = 28.
Ultimately, the equations which model the total yards of of fabric Sophie will buy as required are; x + y = 28, 28 - x = y and 28 - y = x.
Complete question; The given answer choices are; x+y=28, 28+x=y, x-y=28, 28-x=y and 28-y=x.
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A florit want to put a rope around hi rectangular garden with ide 7. 8m by 4. 7m. What length of rope mut he have
As per the area of rectangle, the required length of rope is 36.66 square meter.
The formula to calculate the area of rectangle is written as,
=> A = l x b
Where l refers the length and b refers the breadth.
Here we have given that a florist want to put a rope around his rectangular garden with the dimensions 7. 8m by 4. 7m.
In order to put the rope we have to find the area of the garden,
The area of the garden is calculated by using the area of rectangle formula, as 7.8 as length and 4.7 as breadth
=> A = 7.8 x 4.7
=> A = 36.66
Therefore, 36.66 square meter is required.
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I can't find #13 please help
The pentagonal prism below has a base area of 34 units² and a volume of 180.2 units³
. Find its height.
height of pentagonal prism is h unit.
What is pentagonal prism?
The prism is one that has two pentagonal bases from which one acts as bottom and the other acts as top. The pentagonal prism has five rectangular sides. This prism has 10 vertices and 15 edges. It is also said five-sided polygon prism.
What is the height of prism as stated above?given, area of pentagonal prism = 34 square unit
volume of pentagonal prism = 180.2 cubic unit
we know the formula for the area of the pentagonal prism.
Total surface area = 5ab + 5hb
Volume of pentagonal prism = 5/2 a b h
where, a =apothem length
b = base length
h = height of the prism
according to the given statement, 34 = 5 a b + 5 h b
180.2 = 5/2 a b h
from the above two equation, we get, the height of prism = h unit.
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Help asap
Write a function that has an amplitude that is two and half times the size of the function
f(x) = 2 + 3 sin(x/3 + pi/4)
Answer:
f(x) = 2 + 7.5 sin(x/3 + pi/4)
Step-by-step explanation:
f(x) = 2 + 3 sin(x/3 + pi/4)
Amplitude: 3
2.5 * 3 = 7.5
Function that has an amplitude that is two and half times the size of the function f(x) = 2 + 3 sin(x/3 + pi/4)
f(x) = 2 + 7.5 sin(x/3 + pi/4)
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1. [Maximum mark: 6]
Solve n!-(n-1)!=16(n-2)!
n!-(n-1)!=16(n-2)! by factorizing it by n! and dividing it by n! we get n is equal to 2 .
what is polynomial ?The intersection point in mathematics is the location on the y-axis where the slope of the line passes. a point where a line or curve's y-axis crosses it. This is demonstrated using the equation for the straight line, Y = mx+c, where m denotes the slope and c the y-intercept. The equation's intercept form highlights the line's slope (m) and y-intercept (b). The slope is m and the y-intercept is b when an equation has the intercept form (y=mx+b). It is also possible to rewrite some equations so that they resemble slope intercepts. For example, the slope and y-intercept are both modified to 1 if y=x is rewritten as y=1x+0.
given
n! + (n+1)! = (n+2)!
Let us rewrite:
n!+ (n+1)n! = (n+2)(n+1)n!
Factorize n!
n!(1+n+1) = (n+2)(n+1)n!
Divide by n!
==> n+2 = (n+2)(n+1)
No divide by (n+2)
==> 1= n+1
==> n = 0
to verify substitute with n=0
==> 0! + 1! = 2!
==> 1+1 = 2
==> 2=2
n!-(n-1)!=16(n-2)! by factorizing it by n! and dividing it by n! we get n is equal to 2 .
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we have 5^x/(1+5^x)=2/5 find A=125^x/(1+125^x)
By solving the algebraic expression A=125^x/(1+125^x) the answer is 8/35.
What is algebraic expression?When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression. Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression).
given that 5^x/(1+5^x)=2/5
or (1+5^x)/5^x = 5/2
⇒ 1/5^x + 1 = 5/2
⇒ 1/5^x = 5/2 - 1
⇒ 1/5^x = (5-2)/2
⇒ 1/5^x = 3/2
or 5^x = 2/3
now,
A = 125^x/(1+125^x)
⇒ A = (5^3)^x/{1+(5^3)^x}
⇒ A = 5^3x/(1+5^3x)
⇒ A = (5^x)^3/{1+(5^x)^3}
⇒ A = (2/3)^3/{1+(2/3)^3}
⇒ A = (8/27)/(1+8/27)
⇒ A = (8/27)/{(27+8)/27}
⇒ A = (8/27)/(35/27)
⇒ A = 8/35
So that A=125^x/(1+125^x) = 8/35
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