Please help me! I am struggling
Answer:
Oh man! I totally understand why you are struggling!
Step-by-step explanation:
You want the textbook or the cheat sheet?
Lets go with the cheat sheet.
So, notice the line segments, correct?
The way to find those is Pythagorean Theorem.
The squares of the legs of the triangle add up to the length of the hypotenuse squared. Imagine that the lengths of the sides ARE Hypotenuses. Then, form a triangle, with the legs (Other sides of the triangle except the hypotenuse) either vertically or horizontally(I explain it better below).
In other words, we need to create a right triangle with AB as the hypotenuse to use Pythagorean Theorem. How do we do that?
Count the number of units both vertically and horizontally from point A to B. Essentially, make a horizontal line segment starting at A, and stop it over B. Then, make a vertical line that goes down to B from that ending point (Remember to count the number of units along the way).
Those are your legs. Then, use those measurements in the Pythagorean Theorem:
[tex]12^{2} + 8^{2}=AB[/tex]
I'm confident you can solve this! If you know mathematics...
Then, repeat for either AD or BC.
Then, use the formula for area of the Rectangle. How do we know that it is a rectangle? Well, I'm skipping this part because it will take too long to do, but I can explain it later if you want!
Oh, well.
Hope this helps! Stay Safe!
Grace starts with 100 milligrams of a radioactive substance. The amount of the substance decreases by 14 each week for a number of weeks, w. She writes the expression 100(14)w to find the amount of radioactive substance remaining after w weeks. Ryan starts with 1 milligram of a radioactive substance. The amount of the substance decreases by 40% each week for a number of weeks, w. He writes the expression (1 – 0.4)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Grace’s and Ryan’s expressions mean.
Answer:
100= Initial Amount
1/4= decay factor for each week
w= number of weeks
1/4w= decay factor after w weeks
1 - 0.4= decay factor for each week
w= number of weeks
0.4= percent decrease
Step-by-step explanation:
How to do this question plz answer me step by step plzz plz
Answer:
x=10 cm
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + ( sqrt(200) )^2 = (sqrt(300))^2
x^2 +200 = 300
Subtract 200 from each side
x^2 +200-200 = 300-200
x^2 = 100
Take the square root of each side
sqrt(x^2) = sqrt(100)
x = 10
What is the apothem of a equilateral triangle with radius 9cm
Answer:
4.5 cm
Step-by-step explanation:
apothem=R/2=9/2=4.5 cm
Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x= y=
Answer:
x = 10 units, y = 5 units
Step-by-step explanation:
Given triangle ABC is a 30-60-90 triangle,
m∠C = 60°
By applying Sine rule in the given triangle,
Sin(60)°= [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Sin(60)° [tex]=\frac{\text{AB}}{\text{AC}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{\text{AB}}{\text{AC}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{5\sqrt{3}}{x}[/tex]
x = 10 units
Similarly, by applying Cosine rule in the given triangle,
Cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
Cos(60)° = [tex]=\frac{\text{BC}}{\text{AC}}[/tex]
[tex]\frac{1}{2}=\frac{y}{x}[/tex]
y = [tex]\frac{x}{2}[/tex]
y = 5 units
Therefore, x = 10 units and y = 5 units will be the answer.
4.05 LC)
The graph shows y as a function of x:
y
Q
P
R
S
In which segment is the function decreasing?
A) P
B) Q
C) R
D) S
Answer:
r
Step-by-step explanation:
we know this because it is the only part of the graph that is moving downwards, meaning its decreasing. P is an example of increasing, Q is 'neutral' and s is also increasing.
PLEASE HELP 30 POINTS!! What is the solution to the system of equations below? y = negative one-third x + 9 and y = two-thirds x minus 12 (21, 2) (21, –10) (–21, 16) (–21, –26)
Answer:
(21, 2)
Step-by-step explanation:
set equations equal to each other because they both equal y.
-1/3x + 9 = 2/3 x - 12
combine like terms by adding 1/3x and 12 to both sides.
21 = x
plug x in.
y = -1/3(21) + 9
y = -7 + 9
y = 2
check with other equation.
y = 2/3(21) - 12
y = 14 - 12
y = 2
solution: (21, 2)
hope this helps :)
Answer:
(21,2)
Step-by-step explanation:
took the quiz on edge
hey loves, can any of you lovely people help me with this question?
Answer:
(c) the supplements of congruent angles are congruent.
Step-by-step explanation:
Since JKL and JLK are respectively the supplements of angles 3 and 4, we can use the justification
(c) the supplements of congruent angles are congruent.
Answer:
The answer will be C
Step-by-step explanation:
It will not be HL theorem nor SAS postulate so that gives you with C and D. Now D is incorrect because those angles arent complementary
How do u do this please help WILL GIVE BRAINLIEST
Answer: x = 9[tex]\sqrt{2\\}[/tex], y =18
Step-by-step explanation:
cuz
if a mobile was sold for Rs.24408 after allowing 10% discount on the marked price and adding 13% VAT.Findthe discount amount.
Answer:
Hi, there!!!!
See explanation in pictures.
I hope it helps you...
5x + 9 = 5 + 3x : solve
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Hi my lil bunny!
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[tex]5x - 9 = 5 - 3x[/tex]
[tex]5x - 3x = 5 - 9[/tex]
[tex]2x = -4[/tex]
[tex]X = \frac{-4}{2} = -2[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
By which smallast number must the following number be divided so that the quotient is a perfect cube
(A) 8640
Answer:
60
Step-by-step explanation:
8640/60 is 144. 144 is a perfect square. 12*12 is 144
Hey there! I'm happy to help!
------------------------------------------------------------------
INTRO TO PERFECT CUBES
A perfect cube is any number whose cube root is an integer. In English, that means that if you take any number without a fraction (this is called an integer, such as -7, 8, 100, none have fractions) and multiply it by itself three times, you get a perfect cube.
If you cube the number 4, you get 64, which is (4×4×4). 64 is an example of a perfect cube.
You can use the cube root button on your calculator to see if a number is a perfect cube. If you do the cube root of 64, you get 4, telling you that 64 is a perfect cube. The cube root of 10 is 2.154434...... so 10 is not a perfect square because it does not give you an integer (number that does not have a fraction) as the answer.
------------------------------------------------------------------
SOLVING THE PROBLEM
So, we want to find the smallest numbers we can divide 8640 to equal a perfect cube.
I will assume that we will not be dividing by fractions but only whole numbers (positive integers).
We could try dividing by 1, but we see that 8640 is not a perfect cube because it's cube root is 20.519711....
Let's just keep counting up! The first divisor we run into that gives a quotient that it is a perfect cube is the smallest whole number possible that will give us that result.
8640÷2=4320
∛4320≈16.2865....... Not a perfect cube
8640÷3=2880
∛2880≈14.22757..... Not a perfect cube
8640÷4=2160
∛2160≈12.92660..... Not a perfect cube
8640÷5=1728
∛1728=12, a perfect cube!
Since 12 cubed is equal to 1728, this means that 1728 is a perfect square, so 5 is the smallest number we can divide 8640 by to get a perfect square.
The answer is 5.
I hope that this helps! Have a wonderful day! :D
Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m from the base. How tall was the flagpole before it fell?
Answer:
Height of flagpole before it fell = 5.15 m
Step-by-step explanation:
Given:
Height of remain pole (p) = 1.7 m
Distance from base (b) = 3 m
Find:
Height of flagpole before it fell
Computation:
Using Pythagorean theorem
H = √ p² + b
Length of broken part = √ 1.7² + 3²
Length of broken part = √ 2.89 + 9
Length of broken part = √ 11.89
Length of broken part = 3.45 (Approx)
Height of flagpole before it fell = Length of broken part + Height of remain pole
Height of flagpole before it fell = 3.45 + 1.7
Height of flagpole before it fell = 5.15 m
find the value of x in the triangle shown below
Answer:
x=70
Step-by-step explanation:
the angles opposite 3.5 equal 55 degrees
180-55-55=70
Answer:
70°
Step-by-step explanation:
since the both size are equal which is 3.5,it is equal length, so the other angle should be 55 also. Just use the triangle =180° ,180-55-55=70°
Plz plz please answer it fast urgent
Answer - 1) -6/3
2)3/20
3)3/4
Hope this may helps you
Answer:
A.-2
B.its 3/20=0.15
C.3/4=0.75
help me plz i will give brainlest
Answer:
32
Step-by-step explanation:
Pythagorean Theorem is a^2+b^2=c^2 and 40 is c^2 so we would do 40^2-24^2=b^2 so 1600-576 is 1024 and the square root of 1024 is 32 so b would be 32
Answer:
34
Step-by-step explanation:
Given:
a=24
c=40
Required:
b=?
Formula:
[tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex]
Solution:
[tex]a {}^{2} + b {}^{2} = c {}^{2} = (24) {}^{2} + b {}^{2} = (40) {}^{2} = 576 + b {}^{2} = 1600 = b {}^{2} = 1600 - 576 = 1024 = b {}^{2} = 1024 = \sqrt{ {b}^{2} } = \sqrt{1024} = 34 [/tex]
Hope this helps ;) ❤❤❤
Dan believes he can use the information given in the diagram and the SAS rule to prove the two triangles are congruent. Is he correct? Explain.
Answer:
Yes. There are two pairs of congruent sides and a pair of congruent angles. This follows the SAS rule.
(sec A + tan A) (1 - sin A) = cos A prove
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
(sec(A) + tan(A)) (1 - sin(A)) = cos(A)
Write secant as 1/cosine and tangent as sine/cosine:
(1 - sin(A)) (1/cos(A) + sin(A)/cos(A)) = ^?cos(A)
Put 1/cos(A) + sin(A)/cos(A) over the common denominator cos(A): 1/cos(A) + sin(A)/cos(A) = (sin(A) + 1)/cos(A):
(sin(A) + 1)/cos(A) (1 - sin(A)) = ^?cos(A)
Multiply both sides by cos(A):
(1 - sin(A)) (sin(A) + 1) = ^?cos(A)^2
(1 - sin(A)) (sin(A) + 1) = 1 - sin(A)^2:
1 - sin(A)^2 = ^?cos(A)^2
cos(A)^2 = 1 - sin(A)^2:
1 - sin(A)^2 = ^?1 - sin(A)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's do this step by step.
Prove that sec A ( 1 - sin A) ( sec A + tan A) = 1
Solving L.H.S
sec A ( 1 - sin A) ( sec A + tan A)
[tex]= \frac{1}{cos A} ( 1 - sin A ) ( \frac{1}{cos A} + \frac{sin A }{cos A})[/tex]
[tex]= \frac{(1 - sin A)}{cos A} ( \frac{1 + sin A }{cos A })[/tex][tex]= \frac{( 1 - sin A)( 1 + sin A)}{cos A X cos A}[/tex]
We know that [tex]( a - b) ( a + b) = a^2 - b^2[/tex]
[tex]= \frac{( 1^2 - sin^2 A)}{cos^2 A}[/tex]
[tex]= \frac{( 1 - sin^2 A)}{cos^2 A}[/tex]
[tex]= \frac{cos^2 A}{cos^2 A}[/tex] [tex]| cos^2 A + sin^2 A = 1 | cos^2 A = 1 - sin^2 A |[/tex][tex]1 - sin^2 A = cos^2 A[/tex]
[tex]= 1[/tex]
[tex]= R . H. S[/tex]
Thus, L.H.S = R.H.S
Hence proved.
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Calculate the ratios in the table using the side lengths that you recorded in Part C.
Answer:
The ratios are;
[tex]\dfrac{BC}{AB} = \dfrac{3}{5}[/tex]
[tex]\dfrac{AC}{AB} = \dfrac{4}{5}[/tex]
[tex]\dfrac{BC}{AC} = \dfrac{3}{4}[/tex]
[tex]\dfrac{DE}{AD} = \dfrac{3}{5}[/tex]
[tex]\dfrac{AE}{AD} = \dfrac{4}{5}[/tex]
[tex]\dfrac{DE}{AE} =\dfrac{3}{4}[/tex]
Step-by-step explanation:
Given that the lengths of the sides are;
[tex]\overline {AB}[/tex] = 20
[tex]\overline {BC}[/tex] = 12
[tex]\overline {AC}[/tex] = 16
[tex]\overline {AD}[/tex] = 10
[tex]\overline {DE}[/tex] = 6
[tex]\overline {AE}[/tex] = 8
The ratios are;
[tex]\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{BC}{AB} = \dfrac{12}{20} = \dfrac{3}{5}[/tex]
[tex]\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AC}{AB} = \dfrac{16}{20} = \dfrac{4}{5}[/tex]
[tex]\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{BC}{AC} = \dfrac{12}{16} = \dfrac{3}{4}[/tex]
[tex]\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{DE}{AD} = \dfrac{6}{10} = \dfrac{3}{5}[/tex]
[tex]\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AE}{AD} = \dfrac{8}{10} = \dfrac{4}{5}[/tex]
[tex]\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{DE}{AE} = \dfrac{6}{8} = \dfrac{3}{4}[/tex]
Answer:
Step-by-step explanation:
Find a positive real number such that its square is equal to 14 times the number, increased by 240.
Answer:
Step-by-step explanation:
Let's call the "positive real number" X.
Basically, the question is a riddle asking for the "solution" to 14x+240=x²
Figure that out, and
The answer is 24.
The correct answer is 24.
Find the missing side. Round to the nearest tenth. Will give Brainliest.
Answer:
Answers are below.
Step-by-step explanation:
Sin θ = Opposite / Hypotenuse
Cos θ = Adjacent / Hypotenuse
Tan θ = Opposite / Adjacent
1) sin (60) = 16/x
x = 16/(sin 60)
x ≈ 18.46
2) cos (45) = x/13
13 cos(45) = x
x ≈ 9.19
3) tan (53) = 10/x
x = 10/tan(53)
x ≈ 7.54
4) tan (21) = x/12
12 tan(21) = x
x ≈ 4.61
Please help me.. please..
Answer:
i believe it's b
Step-by-step explanation:
i haven't seen a question like this is a while so i'm sorry if it's wrong
Answer:
B.
Step-by-step explanation:
x < 3 will be graphed as an empty circle at positive 3, with the line extending infinitely to the left of the circle.
x ≥ 5 will be graphed as a solid circle at positive 5, with the line extending infinitely to the right of the circle.
The two statements are best represented by graph B.
Hope this helps!
The sum of two even consecutive integers is −46. If the smaller integer is divided by 4 and the larger integer is increased by 11, what is the product of the two resulting integers? PLEASE HELP!!!
Answer is 66.
I hope it will help you:)
Answer:
= 66
Step-by-step explanation:
The two integers are -22 and -24, because they are both even and consecutive, and adding them equals -46.
-24 divided by 4 is -6, and -22 plus 11 is -11
Now all we have to do is find the product (multiply -11 and -6)
And this gives us the answer: 66
PLS HELP !! I’ll appreciate it
In a two-column proof, what would you write in the reason column for any statement that is given to
you?
Answer:
explanation
Step-by-step explanation:
the reason for your statement is just your explanation of why you think that.
A pennant is shaped like a right triangle with a hypotenuse of 10feet. The length of one side of the pennant is two feet longer than the length of the other side. Find the length of the two sides of the pennant.
Answer:
6 ft and 8 ft
Step-by-step explanation:
let x be the length of one leg then (x + 2) is the other leg.
Using Pythagoras' identity in the right triangle, that is
x² + (x + 2)² = 10² ← expand left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide all terms by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
But x > 0 ⇒ x = 6
Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft
Help please!!!!!thxxxx
Answer:
144
Step-by-step explanation:
An angle of a regular pentagon is of 180(5-2)/5=108°
and that all the sides are equal so angle MNL=108/3=36
then MNK=180-MNL=180-36=144
I don't know if you understand this but it's hard to work without more points :)
Which shows the rational expression written using the least common denominator?
x+1/4x^2 + x+1/x^2
A) x+1/4x^2 + 4(x+1)/4x^2
B) x+1/x^2 + x+1/x^2
C) x+1/x^2 + 4(x+1)/x^2
D) x+1/4x^2 + x+1/4x^2
Answer:
(x + 1)/4x² + 4(x + 1)/4x²
Step-by-step explanation:
x+1/4x² + x+1/x²
The above can be simply as follow:
Find the least common multiple (LCM) of 4x² and x². The result is 4x²
Now Divide the LCM by the denominator of each term and multiply the result with the numerator as show below:
(4x² ÷ 4x²) × (x + 1) = x + 1
(4x² ÷ x²) × (x + 1) = 4(x + 1)
x+1/4x² + x+1/x² = [(x + 1) + 4(x + 1)]/ 4x²
= (x + 1)/4x² + 4(x + 1)/4x²
Therefore,
x+1/4x² + x+1/x² = (x + 1)/4x² + 4(x + 1)/4x²
Answer: A
Step-by-step explanation:
The functions f(x) and g(x) are graphed.
On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).
Which represents where f(x) = g(x)?
f(2) = g(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)
Answer:
[tex]f(0)=g(0)[/tex] and [tex]f(2) = g(2)[/tex]
Step-by-step explanation:
According to the question, the curved red line represents [tex]g(x)[/tex] and the straight blue line represents [tex]f(x)[/tex].
The important thing here is that the equality of functions [tex]f(x)=g(x)[/tex] is represented as a common function between their curves. So, we just need to find such a common point for both.
[tex]f(x)[/tex] has points (0, 4) and (2, 0).
[tex]g(x)[/tex] has points (0,4) and (2,0).
Notice that both functions have the same y-value for x=0 and x=2, that means
[tex]f(0)=g(0)[/tex] and [tex]f(2) = g(2)[/tex].
Therefore, the right answer is the first choice.
The correct answer is option A which is f(2) = g(2) and f(0) = g(0)
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
According to the question, the curved red line represents g(x) while the straight blue line represents f(x).
The important thing here is that the equality of functions f(x) = g(x) is represented as a common function between their curves. So, we just need to find a common point for both.
f(x) has points (0, 4) and (2, 0).
g(x) has points (0,4) and (2,0).
Notice that both functions have the same y-value for x=0 and x=2, which means
f(2) = g(2) and f(0) = g(0)
Therefore correct answer is option A which is f(2) = g(2) and f(0) = g(0)
To know more about function follow
https://brainly.com/question/2833285
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please helllppppp ....thx if u do
Help please!!!!””””””””””
Answer:
Step-by-step explanation:
1. Given
2. Given
3. Reflective Property
4. SAA