Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)
answer: -2 + sqrt(3)
How do you solve this
What square should complete the following series of squares?
1
2
3
4
Red cube will take 1,1 position (first row, first column).
Yellow cube will take 3, 4 position (third row, fourth column).
Green cube will take 4, 1 position (fourth row, first column).
What is pattern?A pattern is a repeated arrangement of numbers, shapes, colors and so on.
According to the given question.
We have three squares made up of small cubes.
In the three squares, only three cubes of each square are colored by following some pattern.
In the given series of square we can see that, the yellow colored cube moving straight forward. And the green and red cubes are moving diagonally.
Therefore, by following this pattern the cubes of fourth square of the series will take position:
Red cube will take 1,1 position (first row, first column).
Yellow cube will take 3, 4 position (third row, fourth column).
Green cube will take 4, 1 position (fourth row, first column)
Thus, the third option is correct.
Find out more information about pattern here:
https://brainly.com/question/11606579
#SPJ2
what is the GCF of the terms 5x2 -15x
Answer:
it would be 5x
Step-by-step explanation:
5x^2-15x
would be 5x because dividing by 5x you would get 5x(x-3)
but if its 5*2-15x, I don't know
Which is the graph of the equation y-1=2/3(x-3)
Answer:
Step-by-step explanation:
A sales representative is paid a commission of N5 on every N100 sale he makes. If his commission for the week is N10,000.00, how much sales has he made
The length of a rectangle is 4FT less than three times the width, and the area of the rectangle is 55FT. Find the dimensions of the rectangle.
Answer:
The required dimensions of rectangle are 11 feet and 5 feet.Step-by-step explanation:
Given, The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft².
Let's assume width of rectangle be x feet and length be 3x - 4 feet. Using the formula of Area of rectangle we'll find the value of length and width.
[tex] \\ \dashrightarrow{ \red{ \underline{ \underline {\sf\: \:Area _{(rectangle)} = Length \times width}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow\: \: (3x - 4)(x) = 55 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 - 4x = 55 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 - 4x - 55 = 0 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 + 11x - 15x - 55 = 0 \\ [/tex]
[tex]\dashrightarrow\: \: x(3x+11) -5(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow\: \: (x-5)(3x+11) = 0 \\ [/tex]
[tex] { \red{ \dashrightarrow\: \: { \underline{ \underline{ {x = 5 \: or \: \dfrac{-11}{3}}}}}}} \\ \\ [/tex]
Hence,
Length of rectangle = 3x - 4 = 3(5) -4 = 11 feet Breadth of rectangle= x = 5 feet[tex]\therefore[/tex] The required dimensions of rectangle are 11 feet and 5 feet.
Super easy, find the area! 7th grade math
[tex] \: [/tex]
Step-by-step explanation:
It is given that, the height of a triangle is 3cm, and its base is 3cm and we are to find the area of triangle.
[tex] \: [/tex]
To find the area of the triangle, we have to know this formula :
[tex]\\ {\longrightarrow \pmb{\frak {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times Base \times Height \:}}} \\ \\ [/tex]
Now, substituting the values in the formula :
[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times 3 \times 3 \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{1}{2} \times 9 \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Area_{(Triangle)} = \: \frac{9}{2} \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Area_{(Triangle)} = \: 4.5 \:}}} \\ \\ [/tex]
Therefore,
The area of the triangle is 4.5 cm² .Answer:
4.5cm^2
Step-by-step explanation:
Find area of a square 3*3=9
Half of a square is 9/2=4.5
I just need some answers please with explanation if possible
Answer:
A'(0,4)
B'(6,-4)
C'(-2, -8)
Step-by-step explanation:
In order to scale a figure by a factor all you have to do is multiply each coordinate by the scaled number.
So in this case we'd take A(0,2) and then multiply the x-value and y-value by 2 to get A'(0,4).
Repeat this for each coordinate to get the answer!
Triangle DEF has side lengths d= 7.1 and f= 26.5. The measure of angle E is 13°. What is the length of side e? 31.9 19.6 4.7 162.3
Answer:
19.6
Step-by-step explanation:
According to the
Cosine Theorem
e² = d² + f² - 2dfcos /_E
°Cos 13° = 0.974
e² = (7.1) 2 + (26.5) 2-2 × 26 = 5 × 7.1 × 0.974
=752.66 - 366.516
= 386.14
e = 386.14 = 19.6
My sister needs help
Answer:
» 15
Step-by-step explanation:
» 5*3=15
hope this helps.
Write the exponential function y = 22(1.35)' in the form y = aekt.
(a) Once you have rewritten the formula, give k accurate to at least four decimal places.
k%3D
help (numbers)
If t is measured in years, indicate whether the exponential function is growing or decaying and find the annual and
continuous growth/decay rates. The rates you determine should be positive in the case of growth or decay (by choosing
decay the negative rate is implied).
(b) The annual? rate is
% per year (round to the nearest 0.01%).
Answer:
y = 22·e^(0.3001t), growingannual rate: 35%continuous rate: 30.01%Step-by-step explanation:
When an exponential function is in the form ...
y = ab^t
the factor 'b' is called the growth factor. When t is in years, it is related to the annual growth rate (r) by ...
b = 1 +r
In the alternate form, this can be written ...
y = a·e^(kt)
Comparing the forms, we see that ...
b = e^k ⇒ k = ln(b)
__
(a)y = 22·1.35^t
k = ln(1.35) ≈ 0.3001
y = 22·e^(0.3001t)
The growth factor is greater than 1, so the function is growing.
__
(b)The annual growth rate is ...
r = 1.35 -1 = 0.35 = 35.00%
__
(c)The continuous growth rate is ...
k = 0.3001 = 30.01%
if x+y = -10 and x-y = 2 what is the value of x
Answer:
x= -4
Step-by-step explanation:
adding the two equations,
x+x+y-y=-10+2
2x= -8
x=-4
At a concession stand, three hot dog(s) and two hamburger(s) cost $7.50, two hot dog(s) and three hamburger(s) cost $8.75. Find the cost of one hot dog and the cost of one hamburger
Step-by-step explanation:
If 3 HD and 2HB cost $7.50
2 HD and 3HB cost $8.75
Let,y be HD
Y be HB
So 3y + 2x = $7.50. Eqn 1
2y + 3x = $8.75. Eqn 2
Solve simultaneously
Make x the subject in Eqn 1
3y + 2x = 7.50
2x = 7.50 - 3y
Devide by the coefficient of x
2x/2 = (7.50 - 3y) / 2
X = (7.50 - 3y) /2 Eqn 3
Put Eqn 3 into 2
2y + 3(7.50 - 3y) / 2 = 8.75
2y (22.5 - 9y) / 2 =8. 75
Multiply by the lcm of the denominators
2y x 2 + ((22.5 - 9) / 2) x 2 = 8.75 x2
4y + 22.5 - 9y = 17.50
Group like terms
22.5 - 17.50 = 9y - 4y
5 = 5y
5/5 = (5y) / 5
1 = y Eqn 4
Therefore 1 HD is $1
Put Eqn 4 into eqn 3
X = (7. 50 - 3y) / 2
X = (7.50 - 3(1)) / 2
X = 4.5 / 2
X = 2.25
Therefore 1 HB is $2.25
What is the lateral surface area of the triangular prism?
Round to the hundredths place.
Answer:
The answer is
→ [tex]A_L = 60[/tex]
Step-by-step explanation:
a Base side is 4cm
b Base side is 5cm
c Base side is 11cm
h Height is 3cm
I ran into a problem when inputing the c Base side. It won't allow me to go over 8cm, for some reason. But hold on. I found a solution! :)
a Base side is 4cm
b Base side is 5cm
c Base side is 8cm ← (Don't mind this, I'll explain it below.)
h Height is 3cm
With c Base side being 8cm, the result is [tex]A_L = 51[/tex]. This is clearly incorrect and is not supposed to be like that. But hold on! Let me explain what I did to fix the problem. Since 8cm was the maximum amount, I did this to fix the problem:
51 + 3 = 54 (9cm)
51 + 6 = 57 (10cm)
51 + 9 = 60 (11cm)
Hope this is easy for you to understand...
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/16/2022 at 10:20 PM
(To avoid plagarism, by users whom decide to copy.)
in a deck of 52 how many card combinations are greater then 16?
need pic pls so I can answer your questions
I need help please give explanation as well thank you
Add. Write your answer as a mixed number in simplest from.
7 3/4 + 4 2/7
Answer: 12 1/28
Step-by-step explanation:
Add whole numbers. Solve fractions by finding the LCD.
why do the leaves drop?
Why do the leaves drop:
Dropping them gives the plant a fresh start in the spring (naturally)environmental stress, diseaseHope that helps!
Bonus question: what is the relationship between the circumference of a tire and the rotations necessary to cover a given distance? (i.e. are they directly proportional or inversely proportional) Explain your answer choice. Hint: think about the rotations necessary for a miniature toy car versus a massive tractor.
Answer:
Directly proportional
Step-by-step explanation:
The circumference of the tire is equal to the distance it covers in one rotationThis means the relation is directly proportionalIdc about this question, someone answer the question before this plsss, but here, math problem for fun:
Graph this and simplify it >:):
4x - 8x + 6x^2 - 28x + 7y + (y - 4)^2 - 20y = (y + 5 - x)^2
Answer:
Step-by-step explanation:
Quadrilateral ABCD is cyclic. Identify what the missing angle measures must be.
Check the picture below.
Find the value of x, if C is on line AE
Answer:
x = 11°
Step-by-step explanation:
Linear Pair
Two angles adjacent to each other that form a straight line.
The sum of angles of a linear pair is always equal to 180°.
⇒ m∠C = 180° - 33° = 147°
Alternate Interior Angle Theorem
When two parallel lines are cut by a transversal, the alternate interior angles are congruent.
From inspection of the diagram, we can see that AB ║ DC.
Therefore, AE is the transversal.
So m∠A = 33°
Sum of interior angles of a triangle is 180°
Therefore, the top angle of the triangle = 180° - m∠A - 2x
= 180° - 33° - 2x
= 147° - 2x
Angles around a point add up to 360°
⇒ 33° + m∠C + 5x + (147° - 2x) = 360°
⇒ 33° + 147° + 5x + 147° - 2x = 360°
⇒ 327° + 3x = 360°
⇒ 3x = 33°
⇒ x = 11°
Answer:
x = 11°
Explanation:
m∠C = m∠A = 33°m∠B = 2(x)m∠I = 180° - 5(x)============ [ total interior angle in a triangle is 180° ]
solve for x
33° + 2(x) + 180° - 5(x) = 180°-3(x) = 180° - 213°-3(x) = -33°x = 11°Prepare an amortization schedule for the first three months on a loan of $87,000 at 6% for 20 years.
Answer:
see attached
Step-by-step explanation:
An amortization schedule is conveniently prepared using a spreadsheet. It has the formula built in for computing the payment value.
__
The amount of the payment going to interest is the product of the outstanding balance and the monthly interest rate (=6%/12). In the attached, the amount of interest due is rounded to cents. The remaining amount of the payment reduces the outstanding balance.
The attachment shows the payment calculation and the amortization schedule for the first 5 payments.
With a choking victim, the rescuer will provide abdominal thrusts which should be performed
by:
A. None apply
B. Pressing in the person's chest with hard and fast compressions,
C. Making quick inward and upward thrusts to the abdominal cavity with your fist.
D. Lying the person on their back and pushing up into their stomach and rib cage.
2. Lisa can buy orange juice in 0.24-liter cartons or 0.48-liter cartons. Which is closest to the
number of 0.48-liter cartons she would need to completely fill a pitcher that holds 3.58 liters?
(A. 1.7
B. 5.0
C.1.5
D. 15.0
Answer:
i think its 1.7 if this is correct can u mark me brainliest
Step-by-step explanation:
Write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2 .
Answer:
y = 2x + 5
Step-by-step explanation:
REMEMBER:
The new line will be parallel to the line represented by y =2x +2⇒ The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope. So the slope of this line is 2. A line parallel to y = 2x + 2 will have the same slope. This means the slope of the new line will also be 2.
To determine the equation of the new line, we can use the given point to find the y intercept of the new line:
⇒ y = 2x + b
Use x = -1 and y =3 to find b (or the y intercept ) of the new line:
⇒ 3 = 2 * (-1) + b
⇒ 3= -2 + b
⇒ b=5
Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:
⇒ y = 2x + 5
Answer:
y = 2x + 5
Step-by-step explanation:
Given line equation 2x - y + 2 = 0
Equation of line parallel to this line will be of form
=> 2x - y + k = 0 ( where 'k' is a constant )
Now this line passes through (-1,3)
=> 2(-1) - (3) + k = 0
=> -2 - 3 + k = 0
=> k - 5 = 0
=> k = 5
Therefore the required line equation is 2x - y + 5 = 0 or y = 2x + 5
Hope you've understood the solution.
The difference between two positive integers is2. If the smaller is added to the square of the larger the sum is 40. Find the integers
Answer:
4 and 6
Step-by-step explanation:
first you must write your let statements
let x = smaller integer
let y = bigger integer
y - x = 2
x + y^2 = 40
then you use substition to find your anaswer
x = y - 2
y - 2 + y^2 = 40
y^2 + y - 42 = 0
then find the numbers that add up to 1 and multiply to -42
-6 and 7
y^2 + 7y - 6y - 42
y(y + 7) - 6(y + 7)
(y - 6)(y + 7)
set both sides equal to 0
y = 6, -7
y must be positive so it is 6
then plug y into one of the equations to get your answer
6 - x = 2
x = 4
your answer is 4 and 6
Simplify the expression. –(3)–4
a)12
b)[tex]-\frac{1}{81}[/tex]
c)81
d)[tex]\frac{1}{81}[/tex]
Answer:
Answer is {C}
Step-by-step explanation:
2 books are removed at random from a set of 2 mysteries, 1 biography, and 1 romance. What is the probability that the 2 books consist of 1 mystery and 1 biography? Draw a tree diagram to help you find the answer.
1/3
1/6
1/4
5/12
I did the problem and I know that 1/4 and 5/12 are wrong
Answer:
1/6
Step-by-step explanation:
Check the attachment.
Dulce got a $25 gift card to a clothing store. She
uses the gift card to buy a shirt for $14.99. She also
wants to use the gift card to buy some socks. Each
pair of socks costs $2.49.
Which of these inequalities describe this situation,
where s is the number of socks Dulce can buy?
A) 14.99 + 2.49s < 25
B) 14.99 + 2.49s > 25
C) 14.99
2.49s < 25
D) 14.99 – 2.49s > 25
Answer:
A.
Step-by-step explanation:
Answer A. It works because the pairs of socks for 2.49 each and the 14.99 shirt need to be less than 25.
