To find the length of the side opposite the angle, multiply the hypotenuse by sin(). Alternatively, to obtain the side next to the angle, multiply the hypotenuse by cos()
What is Hypotenuse triangle?The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.
Hypotenuse TheoramPythagoras theorem defines the hypotenuse theorem. This theorem states that the square of a right-angled triangle's hypotenuse side is equal to the sum of its base and perpendicular squares, so that;
Hypotenuse2 = Base2 + Perpendicular2
The square root of the sum of the base and perpendicular squares of a right-angled triangle provides the formula to get the hypotenuse. The hypotenuse formula is represented as follows:
Hypotenuse = √[Base2 + Perpendicular2]
Length of the hypotenuse:Hypotenuse length: In the scenario where the square root is not a perfect square, we take an approximation of the root here in order for the solution to appear.Additionally, the squares of the base and the height should always be added to establish the value, however this does not provide a perfect square.Due to the imperfect square-root number, we must therefore approximation the solution.To know more about Hypotenuse Triangle refer to:
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Write the equation for a function g(x) that is the function f(2)= |x| translated right 3 units and translated down 2 units
6.36 CAR COLORS Choose a new car or light truck at random and note its color. Here are the probabilities of the most popular colors for vehicles made in North America in 2000:5 Color: Silver White Black Dark green Dark blue Medium red Probability: 0.176 0.172 0.113 0.089 0.088 0.067 (a) What is the probability that the vehicle you choose has any color other than the six listed
The probability that the vehicle you choose has any color other than the six listed is 0.295.
In the given question, the probabilities of the most popular colors for vehicles made in North America in 2000 is given as:
Color: Silver White Black Dark green Dark blue Medium red
Probability: 0.176 0.172 0.113 0.089 0.088 0.067
We have to find the probability that the vehicle you choose has any color other than the six listed.
P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (the sum of the vehicle that are listed)
P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (0.176 + 0.172 + 0.113 + 0.089 + 0.088 + 0.067)
P(the probability that the vehicle you choose has any color other than the six listed) = 1 - 0.705
P(the probability that the vehicle you choose has any color other than the six listed) = 0.295
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Linda's rental car cost $198
How much was her total if she also paid 6 percent tax and $15 insurance per day for 3 days?
Answer:
254.88
Step-by-step explanation:
198 + 6% + 45
What is the slope of the line that contains the points (-3, -7/2) and (2, -4)
Answer: m = -1/10
Step-by-step explanation:
Use the slope formula to find the slope m.
m = −1/10
When an article is sold for Rs 23, there is profit.
of 15%.
(i) क्र.मू. कति होला? (What is the cost price?)
(ii) 10% नाफा बनाउन सो सामान कतिमा बिक्री गर्नुपला ।।
At what price must it be sold to make a profit of
10%
Answer:
Cost price = R.S 20
Sales price = R.S 22
Step-by-step explanation:
Given:
Sales price of an article = R.S 23
Profit = 15%
Find:
Cost price
Sales price if profit is 10%
Computation:
Profit% = [(Sales price - Cost price) / Cost price]100
15 = [(23-cp)/cp]100
15cp = 2,300 - 100cp
115cp = 2,300
Cost price = R.S 20
Sales price if profit is 10%
Sales price = Cost price + Profit
Sales price = 20 + 10%[20]
Sales price = 20 + 2
Sales price = R.S 22
What is an angle with 3 acute angles?
Three straight sides and three angles make up the shape of a triangle. The angles of a triangle can either be acute, right, or obtuse. An angle with three acute angles is a triangle where all three angles measure less than 90 degrees.
A triangle is a three-sided shape with three angles. The sum of the internal angles of a triangle is always 180 degrees. An angle is the amount of turn or change in direction between two lines. There are three types of angles, acute, right and obtuse. An acute angle is an angle which measures less than 90 degrees. A right angle is an angle which measures exactly 90 degrees, and an obtuse angle is an angle which measures more than 90 degrees. Therefore, an angle with three acute angles is a triangle where all three angles measure less than 90 degrees. A triangle with three acute angles is also known as an acute triangle. All three angles must add up to 180 degrees, so the measure of each angle must be less than 60 degrees.
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write the exponential equation that models the sequence: 15, 30, 60, 120…
Answer:
y=15(2)ˣ
Step-by-step explanation:
If each term is being multiplied by 2 starting with 15, then the exponential equation that models this sequence is y=15(2)ˣ where x is the nth term of the sequence.
Answer:
mrk me brainliest first plzz
Step-by-step explanation:
Emily has saved $74 toward a new sound system that costs $149. She plans on saving an additional $15 each week. How many weeks will it take Emily to save enough money to buy the sound system?
Answer: It”ll take Emily five weeks to buy the sound system.
Answer:
5 weeks
Explanation:
Emily has already saved $74 and need to make 149 we know she makes $15 a week 15*5=75
75+74=149
so it would take 5 weeks for Emily to get a sound system.
slope of a line parallel to the line whose equation is x - 2y = -8
Answer:
Step-by-step explanation:
slope is the coefficient of x when the coeficient of y is 1.
we need change the form.
2y=x+8
y=[tex]\frac{1}{2}[/tex]x+4
so, the slope of a line parallel to the line is 1/2
f(3) = V22
g(x) = 2x + 1
Find
(1) (a). Include any restrictions on the domain.
Answer:
may be that is not V that mau be some numbers
A researcher has collected the following sample data. The mean of the sample is 5 "3 5 12 3 2" Refer to Exhibit 1. The range is: O 1 O 2 O 10 O 12
The range of a sample data collected by a researcher is 10 . So, correct answer is option (C).
Range of a sample data is calculated by using the formula to determine the difference between the highest and lowest value in sample set of values.
R = Highest Value (H) - Lowest Value (L)
Range Formula, R = H - L
Where, R --> range
H --> the highest value
L --> the lowest value
We have, a reaseacher collected a sample data .
Sample data values are following,
3 5 12 3 2
The mean of sample data = 5
Range of sample data = highest data value - lowest data value
There is highgest data value = 12
and lowest data value = 2
Range = 12 - 2 = 10
So, the required range of sample data is 10.
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Complete question:
A researcher has collected the following sample data. The mean of the sample is 5
"3 5 12 3 2"
Refer to Exhibit 1. The range is:
A)1
B)2
C)10
D) 12
Plzz help me and thanks
Answer:
C. Last week it rained every day in San Antonio, Texas
Step-by-step explanation:
Climate is the long-term pattern of weather and temperature. The third answer does not talk about the weather of San Antonio from a long-term perspective, instead, it only discusses a week. The climate of San Antonio should refer to the rain patterns of multiple years, not days.
How many types of angles are there in class 7?
There are basically 6 types of angles are there which are acute, obtuse, right, straight, reflex and complete angles.
If an angle is less than 90 degrees, it is known as an acute angle. If an angle is more than 90 degrees, then it is called an obtuse angle. If an angle is exactly 90 degrees, then it is called the right angle.
If an angle is precisely 180 degrees, then it is called a straight angle. If the angle is more than 180 degrees but less than 270 degrees, it is known as a reflex angle. A full 360-degree angle is called a complete angle.
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Let x represent the number of laptops. Let y represent the number of smartphones.
Sully earns $80 by selling a laptop and $60 by selling a smartphone. He wants to make a profit of at least $6,800. Write an inequality to model the amount Sully earns by selling laptops and smartphones
Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.
What is inequality?Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<
Here,
Let the quantity of sold laptops, x
y —- the quantity of sold smartphones
The fact that to solve this problem we use inequality help
The problem's underlying inequity is equal to
=> 80x + 60y ≥6800
Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.
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A. −1.8
B. -0.8
C. 0.8
D. 12
Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
a) y = (x + 1)^2 - 3
b) minimum
c) (-1, -3)
Step by step:
We start with the equation:
y = x^2 + 2*x - 2
First, we want to complete the square to write the equation in the vertex form.
y = (x - h)^2 + k
Such that the vertex is (h, k)
To complete the square, we can write this as:
y = x^2 + 2*1*x - 2
Now we can add and subtract 1
y = x^2 + 2*1*x + 1 - 1 - 2
y = (x^2 + 2*1*x + 1) - 3
The thing inside the parentheses can be written as:
x^2 + 2*1*x + 1 = (x + 1)^2
Then the quadratic equation will be written as:
y = (x + 1)^2 - 3
This is the vertex form.
b) Now we want to know if the vertex is a minimum or a maximum.
Remember that the leading coefficient tells use if the graph of the function opens up or down.
If the leading coefficient is positive, the graph opens up (then the vertex is a minimum)
If the leading coefficient is negative, the graph opens down (then the vertex is a maximum)
In this case, we can write:
y = 1*(x + 1)^2 - 3
The leading coefficient is 1, positive.
Then the vertex is a minimum.
c) The coordinates of the vertex are:
Remember that in the vertex form:
y = (x - h)^2 + k
the vertex is (h, k)
Then the vertex of our equation is:
(-1, - 3)
(2. Given that AABC is similar to ADEC, find the values of the unknowns in the figure.
7.3 cm
А Ar
B
489
8 cm
С
10 cm
60°
E
D
y cm
Answer:
x = 72 degrees
y = 9.125 cm
Step-by-step explanation:
the sum of degrees of all angles in a triangle is 180.
because the triangles are similar, all the angles must be the same in both. and the side lengths of one triangle must all have the same scaling factor compared to the other triangle.
the similarity tends is that the angle at E is the same as at B (48 degrees). so, then the angles at C are 60 degrees. that leaves for the angle at D (x) 180 - 60 - 48 = 72
BC (8) is scaled to CE (10) by the factor 10/8 = 5/4
so, y must have the same scaling factor in relation to AB (7.3)
y = 7.3 × 5/4 = 9.125
What is the number of lines of symmetry? What is the angle of rotation?
Triangle ABC is shown,
B
А
Choose all of the statements that contain enough information to determine that triangle ABC is an equilateral triangle.
A. ZA ZB
B. ZA ZB 2C
C. m.ZA + m2C = 90°
D. AB = BC
E. AB = BC = AC
Step-by-step explanation:
Triangle ABC is usually followed the AB=BC = AC
The statements to determine that triangle ABC is an equilateral triangle are, ∠A ≅ ∠B, ∠A ≅ ∠B ≅ ∠C, AB = BC and AB = BC = AC.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, In an equilateral triangle, The length of all the sides are equal and the measure of all the individual angles is 60°.
Therefore, The statements that makes the given triangle ABC an equilateral triangle is,
∠A ≅ ∠B.
∠A ≅ ∠B ≅ ∠C.
AB = BC.
AB = BC = AC.
Q. Choose all of the statements that contain enough information to determine that triangle ABC is an equilateral triangle.
A. ZA ZB
B. ZA ZB ZZC
C. MZA + m2C = 90°
D. AB = BC
E. AB = BC = AC
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For every 5 boys, there are 25 girls. Write this ratio in the simplest form in all three ways (ratio, decimal, fraction).
For every 150 dogs, there are 300 cats. write this ratio in simples form in all three ways.
Answer:
Step-by-step explanation:
5 : 25
In simplest form
1 : 25
In fraction form
1/25
In decimal form
0.04
150 : 300
In simplest form
1 : 2
In fraction form
1/2
In decimal form
0.5
Distribute and then combine the like terms to simplify each expression.
5(-6 +4q) - 2q
please help
Answer:
-30+18q
Step-by-step explanation:
First, distribute the five to the terms in the parenthesis.
5x-6 and 5x4q
so -30+20q-2q
20q-2q equals 18q
so we are left with -30+18q.
Help ASAP will give brainiest
Answer:
39 in the filmmaking club
25 in the yearbook club
Step-by-step explanation:
X =14+y
14+y + y = 64
14 +2y = 64
2y=50
y=25
if y is 25 then subtract 25 from 64 to get x
64-25=39
Find the value of each trigonometric ratio.
tan A
39
15
36
B
The value of each trigonometric ratio is given by :
sin A = 5/13 , cos A = 12/13, tan A = 5 / 12
cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.
As given in the question,
Let us consider a triangle be ABC,
Figure is attached.
Side length is given by:
AC = 39
AB = 36
BC = 15
AC represents the longest side
( 36 )² + (15)² = (39)²
⇒AB² + BC² = AC²
By Pythagorean triplets ABC is right angled triangle.
All trigonometric ratio with respect to angle A is given by :
sin A = BC / AC
= 15/39
= 5/13
cos A = AB / AC
= 36 /39
= 12 /13
tan A = BC / AB
= 5 /12
cosec A = 1/ sin A
= 13 /5
sec A = 1/ cos A
= 13 /12
cot A = 1 / tan A
= 12 /5
Therefore , the value of all six trigonometric ratio is equal to
sin A = 5/13 , cos A = 12/13, tan A = 5 / 12
cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.
The above question is incomplete , the complete question is :
Find the value of each trigonometric ratio tan A
Figure is attached.
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Find the Highest Common Factor of 32 and 14.
Answer:
2
Step-by-step explanation:
Prime Factorization of 14
Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:
14 = 21 × 71
Step-2: Prime Factorization of 32
Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:
32 = 25
Step-3: Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1, 2, 7
Step-4: Factors of 32
List of positive integer factors of 32 that divides 14 without a remainder.
1, 2, 4, 8, 16
Final Step: Greatest Common Factor Number
We found the factors and prime factorization of 14 and 32. The biggest common factor number is the GCF number.
So the greatest common factor 14 and 32
SOMEONE PWEASE HELP!
Answer:
4
Step-by-step explanation:
Base times height divided by 2 is the area. If the area is 8 you need to know what would make it 8
So
4x4/2=8
Jim and Tim share money in the ratio 6:1 if Tim gets 54 how much does Jim get
The amount of money owned by JIm is $9
How to determine the amount owned by JImFrom the question, we have the following parameters that can be used in our computation:
The ratio of the amount owned by Tim tohe ratio of the amount owned by Jim is 6 : 1
This means that
Tim : Jim = 6 : 1
Also from the question, we have
Tim gets $54
This means that
Tim = 54
Substitute the known values in the above equation, so, we have the following representation
54 : Jim = 6 : 1
Multiply by 9
54 : Jim = 54 : 9
So, we have
Jim = 9
Hence, the amount is $9
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I need the answers because I really confused
Answer:
10
Step-by-step explanation:
212-198= 14 rounded down to 10
y = (x + 1)(x − 1)(x − 3)
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᶛɲƧཡэʀ \: }[/tex]
y = (x + 1) (x - 1) (x - 3)
Use the distributive property to multiply x+1 by x-1 and combine like terms.
y = (x² - 1) (x - 3)
Use the distributive property to multiply x² - 1 by x - 3.
y = x³ - 3x² - x + 3.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Ann says if you spin the spinner 80 times, it should land on red about 10 times. Do you agree with her? Explain.
yes it can be possible as per ur luck
a bucket contains two red, three white and one green ball.
If three balls suddenly come off, what is the chances of getting two white balls from those balls
Answer:
a bucket contains two red, three white and one green ball.
If three balls suddenly come off, what is the chances of getting two white balls from those balls