Answer:
x = 6
Step-by-step explanation:
using the cosine ratio in the right triangle and the exact value
cos60° = [tex]\frac{1}{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 12 ( divide both sides by 2 )
x = 6
In their yard, Larry’s parents decided to plant tomatoes in a certain area. They chose an area that was of a yard long and of a yard wide. Choose the model that shows the area they’ll use for tomatoes.
18/18
15/18
8/15
10/18
the answer is 18/18 which is the first one
please answer quickly
Answer:
Given,
Area of the Square = ( x² - 10x + 25 ) m²
We have to find: Length of the side of the square.
Let s be the side of square.
We find length of side of the by using factorization.
According to the question,
s² = x² - 10x + 25
s² = x² - 5x - 5x + 25
s² = x( x - 5 ) - 5( x - 5 )
s² = ( x - 5 )( x - 5 )
s² = ( x - 5 )²
Taking square root on both sides we get,
s = x - 5
Therefore, Expression that represents the length of one side of the square is x - 5.
Step-by-step explanation:
Solve the following sum:
4X - 3 = 9x = ...
Answer:
x = -3/5
Step-by-step explanation:
4x-3=9x
-9x -9x
-5x-3=0
+3 +3
-5x/-5=3/-5
x = -3/5
Answer:
x=-0.6 or -3/5
Step-by-step explanation:
4x-3=9x
4x-9x=3
-5x=3
-5x/-5=3/-5
x=-3/5
or x= -0.6
i need help on dignostic
Answer:
1 1/2
Step-by-step explanation:
PLEASE HELP
what is the coefficient in the expression below 2x-8
Answer:
2x - 8
Parts of an equation:
2 - coefficient
x - variable
8 - constant
The number 2 is not a coefficient in the expression. FALSE.
The expression has three terms. FALSE. two terms only: 2x & 8
The variable in the expression is x. TRUE
The number 2 is a constant in the expression. FALSE
The expression has one variable term. FALSE. 2x is term but it's a combination of a number and a letter. Variable term is letter only.
Hello.
The coefficient is the number before a variable (letter)
The constant is also a number.
What's the difference between a constant and a coefficient?
Well, a coefficient is always before a variable, and a constant is just a number (without any variables next to it)
In this case, the variable is x, the number before x is 2, and 8 is the constant.
Therefore, 2 is the coefficient in this expression.
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
the measure of one interior angle of a triangle is 45°. What can you conclude about the other two interior angles of the triangle?
One of the other angles must be a right angle.
The sum of the measures of the other two angles is 135°.
The other two angles must be acute angles.
One of the other angles must have a measure greater than 90°.
Answer:
The sum of the measures of the other two angles is 135°.
Step-by-step explanation:
The sum of the interior angles of a triangle will add up to 180°. So by subtracting 45° from 180°, the other two angles have to add up to 135°.
Answer:
The sum of the measures of the other two angles is 135° or b
Step-by-step explanation:
Which algebraic expression means ""three more than a number squared""? 2 n 3 2 n minus 3 n squared 3 n squared minus 3
The expression which is stated that three more than a number squared is n² + 3. Then the correct option is C.
What is an Algebra equation?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Let the number be n.
The square of the number n is given as n².
The number is more than 3 then the number will be
n² + 3
The expression which is stated that three more than a number squared is n² + 3.
More about the Algebra equation link is given below.
https://brainly.com/question/953809
hurry go to finish the homework before 9:00
Answer:
actually the answer is D
Step-by-step explanation:
In the function f(x) = 3x + 2, f(5) = ________.
Answer:
17
Step-by-step explanation:
In this function, x = 5, so replace the x with 5 in the equation, multiply by 3, add 2, and 17 is the answer.
Answer:
[tex]f(x)=17[/tex]
Step-by-step explanation:
[tex]f\left(x\right)\:=\:3x\:+\:2;\:f\left(5\right)[/tex]
For f(x)=3x+2, substitute x with 5
[tex]f(x)=3(5)+2[/tex]
[tex]f(x)=17[/tex]
~
Jackie bought a rectangular picture frame that is 56 feet long and 123 feet wide. What is the area of the picture frame? Enter your answer as a mixed number in the simplest form by filling in the boxes.
Answer:
I have included a screenshot of my test. It shows I got it wrong but has the correct answer as well. Good luck I hope my mistakes help someone.
Step-by-step explanation:
The area of the rectangular picture frame that is 5/6 feet long and [tex]1\frac{2}{3}[/tex] feet wide is [tex]1\frac{7}{18}[/tex] ft²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, Jackie bought a rectangular picture frame that is 5/6 feet long and [tex]1\frac{2}{3}[/tex] feet wide.
We need to find its area,
We know that, the area of the rectangle = length × width
Here,
Length = 5/6 ft
Width = [tex]1\frac{2}{3}[/tex] ft
Area = [tex]1\frac{2}{3}[/tex] × 5/6
= 5/3 × 5/6
= 25/18
= [tex]1\frac{7}{18}[/tex] ft²
Hence, the area of the rectangular picture frame that is 5/6 feet long and [tex]1\frac{2}{3}[/tex] feet wide is [tex]1\frac{7}{18}[/tex] ft²
Learn more about areas, click;
https://brainly.com/question/27683633
#SPJ2
What is the value of x in the figure below?
Answer:
9
Step-by-step explanation:
3x+8 = 35
3x = 27
x = 9
Hope this helps :)
Step-by-step explanation:
Here, (3x + 8)° and 35° are vertically opposite angles which are equal, therefore,
3x + 8 = 35
3x = 35 - 8
3x = 27
x = 27/3
x = 9
Hope it helps you!!Marking Brainly + 5 stars if correct!
State whether the ratios are proportional.
3:5 and 1:3
6:15 and 2:5
2:3 ___ 4:1
3:5 and 1:3 is not proportional
6:15 and 2:5 is Proportional
2:3 and 4:1 is not proportional
Answer and get Brainliest <3
Answer:
width = 9/2 inches, length = 18 inches
Step-by-step explanation:
Step-by-step explanation:
l = length
w = width
l×w = 81 in²
l = 2w + 9
we can use the identity of the second equation in the first equation :
(2w + 9)×w = 81
2w² + 9w = 81
2w² + 9w - 81 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = w
a = 2
b = 9
c = -81
w = (-9 ± sqrt(9² - 4×2×-81))/(2×2) =
= (-9 ± sqrt(81 + 648))/4 =
= (-9 ± sqrt(729))/4 = (-9 ± 27)/4
w1 = (-9 + 27)/4 = 18/4 = 9/2 in
w2 = (-9 - 27)/4 = -36/4 = -9
a negative solution for a side length does not make any sense, so, width = 9/2 in is the only valid solution.
l = 2w + 9 = 2×9/2 + 9 = 9+9 = 18 in
so, the last answer option is correct.
What is the greatest power of 6 that evenly divides 120!?
Answer:
58
Step-by-step explanation:
Lmk if its correct :)
Write something nice about somebody you hate.
i like your eyes they sparkle like the night sky even though you left me and stabbed me in the heart after i worshipped the ground you walked on ,
4 1/6 + 5 2/3Enter your answer as a mixed number in simplest form
Answer:
Step-by-step explanation:
First, change the mixed numbers into improper fractions:
5 2/3 = 17/3
Then, find the common denominator:
41/6 + 17/3=
LCM = 6
17/3 *2 = 34/6
41/6 + 34/6
Last, Add
25/6 or
12 1/2
Hope this helps!
mark brainliest if possible!
Which of the following could be the side lengths of a right triangle?
Answer:
To have a right triangle, the side lengths should make Pythagorean theorem true
Since the hypotenuse is always the longest side of a triangle, the biggest number will be c
Set the rest two numbers as a and b
Use a^2 + b^2 = c^2 to plug in the numbers
If you get true equation, meaning you have the same number on the left and right sides of equation, then it is going to create a right triangle
write an inequality for the situation below: Bring at least $7.50 to see the play.
now help me with this one please and explain, please
Answer:
72 sq ft
Step-by-step explanation:
A square room means ecah side is equal. so 12*12= 144.
12 times 6 (for the height)= 72 sq ft
Answer:
72 square feet
Step-by-step explanation:
if the area of the floor is 144 and square, that means that the sides are the same length. 12 * 12 = 144 so the length is 12.
the height of the room is 6 so you multiply 12 and 6 and you get 72
hope this helped! :)
what 5 dived 1/2 pls help me
Answer: 5 divided by 1/2 is 10
Step-by-step explanation:
5 x (1/2) = 10/1 = 10
Multiplying the first fraction by the reciprocal value of the second fraction is the same as dividing two fractions. The first step is to get the reciprocal of the second fraction (reverse the numerator and denominator, reciprocal of 1/ 2 is 2/ 1 ). Multiply the two numerators after that. Then add the two denominators together.
To put it another way, five divided by one-half equals 10.
Answer:it is ten
Step-by-step explanation:
b/4 < 4 im trying to figure it
Answer:
b<16
Step-by-step explanation:
b/4<4. Multiply 4 on both sides. b has to be less than 16.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Click and place the appropriate equivalent forms of the numbers shown.
Step-by-step explanation:
64% = 64/100 = 16/25 = 0.64
1/8 = 0.125 = 12.5%
1.4 = 140% = 140/100 = 100/100 + 40/100 = 1 2/5
2 3/4 = 2.75 = 275%
8% = 8/100 = 2/25 = 0.08
-7 x A = -14 Fill in the missing number in the equation
Answer:2
Step-by-step explanation:
You need to remember these 3 rules when working with multiplication:
Negative number x Negative number = positive number
Negative number x Positive number = Negative number
Positive Number x Positive Number = Positive Number
With that in mind, we see in this equation we are multiplying negative number x positive number = negative number
And we also know 7*2=14 so we know A = 2 and we also know (since A is a positive number) 2 will be postitive:
So the equation will look like this:
-7 x 2 = -14
Therefore A = 2
Hope this helps :D
x+8=6 solve each equation
Answer:
=> x = -2Step-by-step explanation:
=> x+8=6
=> x = 6-8
=> x = -2
Answer:
-2
Step-by-step explanation:
x= negative 2
-2 + 1= -1
-2 + 2=0
-2 + 3=1
-2 + 4=2
-2+ 5=3
-2 +6=4
-2 + 7=5
-2 +8=6 so this problem is x + 8 and the x= - 2 so your answer is -2 + 8=6
Hope it helps have a great day:)
What is the value of x? 6.75+3/8x=131/4.
A) 2 7/16
B) 17 1/3
C) 18 2/3
D) 53 1/3
Answer:
A
Step-by-step explanation:
Solve the system of equations using subtraction.
2x−4y=−4
2x+ y =11
Answer:
(4, 3 )
Step-by-step explanation:
2x - 4y = - 4 → (1)
2x + y = 11 → (2)
subtract (2) from (1) term by term to eliminate x
(2x - 2x) + (- 4y - y) = - 4 - 11
0 - 5y = - 15
- 5y = - 15 ( divide both sides by - 5 )
y = 3
substitute y = 3 into either of the 2 equations and solve for x
substituting into (2)
2x + 3 = 11 ( subtract 3 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
solution is (4, 3 )
2) The area of Bethany's rectangular yoga mat is 15 square feet. The width of her mat is 3 feet. How many feet long is Bethany's yoga mat?
A) 2 feet
B) 6 feet
5 feet
D) 7 feet
5 feet
15 divided by 3 is 5
Area is base x height so 3 x 5 is 15
Answer:
C-5 feet
Step-by-step explanation:
If the area is 15, and the width is 3, we need to find the length with the info we have. And we know, to find the area, we need to multiply the length and the width. What number times 3 can get us to 15? Let's find out by dividing.
15/3=5
How to check? Use inverse operations:
3*5=15
Select the correct answer.
What is the approximate sum of this series
Answer:
A. 134. 83
Step-by-step explanation:
1) 5(4/3)^(8-1) / (4/3-1)
2) 5(9.98872-1) / (1/3)
3) 44.9436 / (1/3)
4) 134.83
Each patron can borrow the books for 2 weeks and renew the loan twice. What is the maximum number of days a patron can keep the books he borrowed from the library? (Its 564 patrons)
Answer:
1 patron can carry a book for 42 days
Answer:
42 Days
Step-by-step explanation:
2 Weeks = 14 Days
Max amount of weeks allowed = 6
[tex]6*7=42[/tex]
42 days
The price of a new dishwasher is £376. This price includes VAT at a rate of 17.5%. What was the price before VAT was added?