Kayla has mailed out 8 invitations
what is the value of x?
Answer:
x = 14
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value of sin45°
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]
Hence
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex]
Multiply both sides by x
x × sin45° = 7[tex]\sqrt{2}[/tex] ( divide both sides by sin45° )
x = [tex]\frac{7\sqrt{2} }{sin45}[/tex]
= [tex]\frac{7\sqrt{2} }{\frac{\sqrt{2} }{2} }[/tex]
= 7[tex]\sqrt{2}[/tex] × [tex]\frac{2}{\sqrt{2} }[/tex] = 7 × 2 = 14
I need help with my math
Hello There!
The correct answer would be "B" this is because we are taking 6 and multiply it by our x column which is the "in" column and adding 1 to what we get.
Answer:
The Correct answer is (B) or option 2.
What is the value of x?
Enter your answer as a decimal to the nearest tenth in a box.
Answer:
13.2 ft.
Step-by-step explanation:
In the given ΔABC
tanA = [tex]\frac{Height}{Base}[/tex] = [tex]\frac{BC}{AB}[/tex]
tan 31° =[tex]\frac{x}{22}[/tex]
x = 22 tan 31°
= 22 × (0.6009)
= 13.22 ≈ 13.2 ft.
Solve for x when x² = 0.0025
[tex]\bf x^2=0.0025\qquad \textit{let's convert the decimal to a fraction} \\\\[-0.35em] ~\dotfill\\\\ 0.\underline{0025}\implies \cfrac{00025}{1\underline{0000}}\implies \cfrac{25}{10000} \\\\[-0.35em] ~\dotfill\\\\ x^2=0.0025\implies x^2=\cfrac{25}{10000}\implies x=\sqrt{\cfrac{25}{10000}}\implies x=\cfrac{\sqrt{25}}{\sqrt{10000}} \\\\\\ x=\cfrac{5}{100}\implies x=\cfrac{1}{20}[/tex]
Given: is a diameter
m 1 = 100°
m BC= 30°
m AC=
60
110
200
Answer:
110
Step-by-step explanation:
2=80 and 3=30
2+3=ac=110
Answer:
Option B. 110°
Step-by-step explanation:
In the given circle m ∠1 = 100°
m BC = 30°
Then we have to find the measure of m AC
Since ∠1 = 100°
and ∠1 + ∠2 = 180° [supplementary angles]
100 + ∠2 = 180°
∠2 = 180° - 100°
∠2 = 80°
Now we know ∠3 = 15°
and m AC = ∠2 + ∠3
m AC = 80 + 30 = 110°
Therefore, Option B. 110° will be he answer.
For the geometric series
4+20 + 100 + 500
what is the value of n?
In the given geometric series, the common ratio is 5. The value of n, which indicates the term number, is found to be 4 by setting up and solving an equation based on the general formula for the nth term in a geometric series.
Explanation:The series presented is a geometric series. In a geometric series, each term is multiplied by a common ratio to get the next term. In this case, the common ratio is 5 because each term is obtained by multiplying the previous term by 5.
In a geometric series, the general formula for the nth term is a * r^(n-1), where a is the first term and r is the common ratio. Hence, let's set up the nth term equation and solve for n.
500 = 4 * 5^(n-1)
When we solve the equation, we find that the value of n is 4.
Learn more about Geometric Series here:https://brainly.com/question/30264021
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what is another way to express 42+24
Final answer:
The sum 42 + 24 can be expressed as 24 + 42 using the commutative property of addition, or by decomposing into tens and units for easier mental calculation.
Explanation:
The student is asking for another way to express the sum 42 + 24. One way to approach this is by performing a common mathematical technique known as commutation (or the commutative property of addition), which states that numbers can be added in any order and the sum will remain the same.
So, another way to express 42 + 24 would be 24 + 42. You can also decompose the numbers into tens and units to simplify mental calculation: (40 + 20) + (2 + 4) = 60 + 6 = 66. This demonstrates that there are multiple ways to approach addition, making it easier to perform in my head. Thus, we affirm that mathematics indeed offers many paths to the same answer.
Amber's punch recipe called for 3 quarts of soda and 2 1/2 quarts of fruit juice how many quarts of soda will she need to make 100 quarts of the same punch is
Answer:
The answer is C.
Step-by-step explanation:
The integer form is 60 as the answer
Simplify the expression -4x2(3x − 7).
The expression -4x^2(3x - 7) simplifies to -12x^3 + 28x^2 after distributing -4x^2 across the parentheses and performing the necessary multiplications.
The expression to be simplified is -4x^2(3x - 7).
To simplify the expression, you need to distribute the term -4x^2 across the parentheses. This involves two multiplication steps:
Multiply -4x^2 by 3x to get -12x^3.Multiply -4x^2 by -7 to get +28x^2.
After performing these multiplications, the expression simplifies to -12x^3 + 28x^2.
Find the area of the trapezoid.
Answer:
On the left is a 30 60 90 triangle so the height = 10 / 2 = 5 feet
Area of triangle = (5 * 8.7) / 2 = 21.75 sq feet
Area of Rectangle = 12 * 5 = 60 sq feet
TOTAL Area = 21.75 + 60 = 81.75 square feet
Step-by-step explanation:
Select all of the situations that represent a linear relationship between x and y.
the total area, in square meters, y, of a square garden if the side length is x meters
the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
the total miles, y, traveled by a car going 62 miles per hour in x hours
Answer:
We love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_use
Step-by-step explanation:
We love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks!
Linear relationship always produces a straight line and are without exponential.
Lets check all the given options:
1. the total area, in square meters, y, of a square garden if the side length is x meters.
The area of a square is [tex](side)^{2}[/tex]
Here, side is 'x' and area 'y' will be [tex]x^{2}[/tex].
This is not linear.
2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
The equation forms:
[tex]y=6+0.2x[/tex]
When x = 1
[tex]y=6.2[/tex]
When x = 2
[tex]y=6+0.2(2)[/tex]
=> [tex]y=6.4[/tex]
When x = 3
[tex]y=6+0.2(3)[/tex]
=> [tex]y=6.6[/tex]
This is a linear relation.
3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
The equation forms:
[tex]y=15+8x[/tex]
When x = 1
[tex]y=15+8=23[/tex]
When x = 2
[tex]y=15+8(2)[/tex]
=> [tex]y=31[/tex]
When x = 3
[tex]y=15+8(3)[/tex]
=> [tex]y=39[/tex]
This is also linear.
4. the total miles, y, traveled by a car going 62 miles per hour in x hours
The equation forms:
[tex]y=62x[/tex]
When x = 1
[tex]y=62[/tex]
When x = 2
[tex]y=62(2)[/tex]
=> [tex]y=124[/tex]
When y = 3
[tex]y=62(3)[/tex]
=> [tex]y=186[/tex]
This is also linear in nature.
Question 2 (2 points)
Which theorem or postulate proves that AABC is similar to ADEF?
SSS Similarity Theorem
SAS Similarity Theorem
AA Similarity Postulate
None of these
Both triangles have 2 side lengths labeled and a common angle ( shown by the curved lines).
You could use the SAS Similarity theorem.
Answer:
SASStep-by-step explanation:
This was the answer that was right for me, I just did this question :) Hope this helps!
Which of the following lists has a mode of 213?
111, 108, 213, 198, 205
212, 215, 213, 211, 220
213, 278, 108, 213, 157
210, 200, 213, 221, 221
Answer is: 213, 278 , 108, 213, 157
213 is repeated 2 times; more than any other number.
A number that appears most often is the mode.
Answer:
213, 278, 108, 213, 157
Step-by-step explanation:
The mode is the number with the highest frequency in a given list of data. Simply, it is the number with most occurrence.
Now, let us chart the frequency of each numbers in the list provided:
1........ 111, 108, 213, 198, 205
Arrange in ascending order
108, 111, 198, 205 and 213
Numbers Frequency
108 1
111 1
198 1
205 1
213 1
No modal value
2..... 212, 215, 213, 211, 220
Arranging in ascending order:
211, 212, 213, 215 and 220
Numbers Frequency
211 1
212 1
213 1
215 1
220 1
No modal value
3......213, 278, 108, 213, 157
Arranging in ascending order:
108, 157, 213 and 278
Numbers Frequency
108 1
157 1
213 2
278 1
The mode here is 213. It has a frequency of 2 compared to other numbers whose mode is 1
4........ 210, 200, 213, 221, 221
Arranging in ascending order:
200, 210, 213, 221
Numbers Frequency
200 1
210 1
213 1
221 2
The mode here is 221
Which row function are inverses of each other?
Answer:
Third Option
[tex]f(x) = 4x,\ g(x)=\frac{1}{4}x[/tex]
Step-by-step explanation:
For a function f(x) it is satisfied that the range of f(x) is equal to the domain of its inverse function. In the same way the domain of f(x) is equal to the range of its inverse.
Therefore, to verify which pair of functions are inverse to each other, perform the composition of both functions and you must obtain
[tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]
For the first option we have:
[tex]f(x) = x,\ g(x)=-x[/tex]
Then
[tex]f(g(x)) = (-x) = -x[/tex] They are not inverse functions
For the second option we have:
[tex]f(x) = 2x,\ g(x)=-\frac{1}{2}x[/tex]
Then
[tex]f(g(x)) = 2(-\frac{1}{2}x) = -x[/tex] They are not inverse functions
For the third option we have:
[tex]f(x) = 4x,\ g(x)=\frac{1}{4}x[/tex]
Then
[tex]f(g(x)) = 4(\frac{1}{4}x) = x[/tex]
[tex]g(f(x)) = \frac{1}{4}(4x) = x[/tex] They are inverse functions
For the fourth option we have:
[tex]f(x) = -8x,\ g(x)=8x[/tex]
Then
[tex]f(g(x)) = -8(8x) = -64x[/tex] They are not inverse functions
Which of the following expressions represent the distance between 4.35 and -2 1/5 on a number line?
l-2 1/5- 4.35l
l4.35+(-2 1/5)l
none of the above
Answer: the first answer
| 2 1/5 - 4.35 |
Step-by-step explanation:
this is the integer of the answer. not a negative of it.
what is the answer for 40÷32/4
Answer:
5
Step-by-step explanation:
40/(32/4)
40/8
5
Answer:
[tex]{\huge \boxed{5}}[/tex]
Step-by-step explanation:
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
Do divide from left to right, to find the answer.
[tex]40\div32\div4[/tex]
[tex]32\div4=8[/tex]
[tex]40\div8=5[/tex]
5 is the correct answer.
Kwan has 4 boxes of crayons. Each box has the same number of crayons. Now he has 27 crayons. How many crayons were in each box?
Kwan would have 6.75 crayons in each box
Answer:
the answer is 8 because...
Step-by-step explanation:
You forgot to put in that he LOST 5 crayons. He has 27 AFTER he lost the five. using inverse operations we would add 5 to 27 to get 32, and then we divide that by the number of boxes he had, we get 8.
Michael applied a transformation to triangle ABC to obtain triangle A’B’C the two triangles are not congruent.which of the following could be the transformation Michael applied ??
HELP !!!!!
B) dilation
this transformation changes the shape's size (making it smaller/larger) whilst the others keep the shape congruent (same shape, same size)
When two shapes are similar but not congruent, it means the transformations performed on the shapes is non-rigid. The transformation that Michael can use to obtain a non-congruent triangle for is (b) dilation.
A non-rigid transformation is such that changes the side lengths of a shape. An example is dilation.
Because the resulting triangle [tex]\triangle A'B'C'[/tex] must not be congruent, then, Michael can dilate the original [tex]\triangle ABC[/tex] to give the new triangle [tex]\triangle A'B'C'[/tex]
See attachment for an illustration of dilation
Hence, (b) is correct
Read more about transformations at:
brainly.com/question/16619654
Write the equation of the circle in general form. Show your work.
Answer:
The equation would be:
(X+1)^2 + (y-1)^2 = 9
This is the equation of the circle in general form.
[tex]\[ x^2 + y^2 + 2x - 2y - 7 = 0 \][/tex]
or
[tex]\[ (x + 1)^2 + (y - 1)^2 = 9 \][/tex]
To write the equation of a circle in general form, you start with the standard form of the circle's equation, which is:
[tex]\[ (x - h)^2 + (y - k)^2 = r^2 \][/tex]
where \( (h, k) \) is the center of the circle and \( r \) is the radius.
From the information provided:
- The center of the circle is \( (-1, 1) \)
- The radius of the circle is \( 3 \) units
Let's substitute these values into the standard form:
[tex]\[ (x - (-1))^2 + (y - 1)^2 = 3^2 \][/tex]
[tex]\[ (x + 1)^2 + (y - 1)^2 = 9 \][/tex]
Now, to write it in general form, you'll expand the equation and combine like terms:
Step 1: Expand the squares
[tex]\[ (x + 1)^2 = x^2 + 2x(1) + 1^2 \][/tex]
[tex]\[ (y - 1)^2 = y^2 - 2y(1) + 1^2 \][/tex]
Step 2: Write the expanded form
[tex]\[ x^2 + 2x + 1 + y^2 - 2y + 1 = 9 \][/tex]
Step 3: Combine like terms
[tex]\[ x^2 + y^2 + 2x - 2y + 1 + 1 = 9 \][/tex]
Step 4: Move the constant to the right side
[tex]\[ x^2 + y^2 + 2x - 2y = 9 - 2 \][/tex]
Step 5: Final general form
[tex]\[ x^2 + y^2 + 2x - 2y - 7 = 0 \][/tex]
This is the equation of the circle in general form.
0.5 kilograms (kg) is equal to how many ounces? Round your answer to the nearest tenth.
Answer:
17.6 ounces per 500 g
Step-by-step explanation:
Knowing one ounce equals 28.34 g, all we have to do is divide half a kilo (500 g) by the equivalent of an ounce to get the number of ounces in a kg. So,
O = 500 g / 28.34g/ounce = 17.64 ounces
We round that to the nearest tenth... to get 17.6 ounces per 500 g
Converting between metric and imperial/US system is always complicated.
Answer:
0.5 kilograms (kg) is equal to 17.6 ounces
Step-by-step explanation:
We have
1 kg = 35.274 ounces
0.5 kg = 0.5 x 35.274 = 17.637 ounces
Rounding to nearest tenth
0.5 kg = 17.637 ounces = 17.64 ounces = 17.6 ounces
So we have 0.5 kilograms (kg) is equal to 17.6 ounces
What is the least common denominator in the equation below?
1) 2
2) 9
3) 12
4) 36
graph of f(x) = 3^x + 1?
Answer:
Step-by-step explanation:
Probability and statistics
Which of these is an example of a continuous random variable?
A. Number of heads when you flip a coin 5 times
B. Number you roll on a die
C. Height of 10-year-olds
D. Number of boys in a class
Answer:
d.
Step-by-step explanation
it is a random variable but is continuos as it doesn't change.
Answer:
Height of 10 years olds
Step-by-step explanation:
A p e x
Given the Question below which of the following shows the quadratic formula correctly applied?
ANSWER
D.
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
EXPLANATION
The given equation is
[tex]2 {x}^{2} - 9x + 4 = 0[/tex]
When we compare this to:
[tex]a{x}^{2} + bx + c = 0[/tex]
we have a=2, b=-9, and c=4.
The quadratic formula is given by,
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
We substitute the values into the formula to get,
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
The correct choice is D
In the rho.bus, m angle 1 =4y-2. Find the value of y.
Answer:
y = 23
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other, thus
∠1 = 90° and ∠1 = 4y - 2, so equating gives
4y - 2 = 90 ( add 2 to both sides )
4y = 92 ( divide both sides by 4 )
y = 23
PLEASE HELP!!!!! !!!!!!!! ¡!!!!!!!!!
Answer:
D
Step-by-step explanation:
5/4 can only be greater than 1.
Answer:
Point D is located at 5/4 on the number line. Hope this helps
-8x^2- [8x - 6x^2 - 8x)] - [7 + (-8x - 7)]
Answer:
[tex]\large\boxed{-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]=-2x^2-8x-14}[/tex]
Step-by-step explanation:
[tex]-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]\\\\=-8x^2-8x-(-6x^2)-(-8x)-[7-(-8x)-(-7)]\\\\=-8x^2-8x+6x^2+8x-(7+8x+7)\\\\=-8x^2-8x+6x^2+8x-7-8x-7\qquad\text{combine like terms}\\\\=(-8x^2+6x^2)+(-8x+8x-8x)+(-7-7)\\\\=-2x^2-8x-14[/tex]
Solve this quadratic equation using the quadratic formula. 2x 2 - 10x + 7 = 0
Answer:
[tex]x_1=4.158[/tex]
[tex]x_2=0.8416[/tex]
Step-by-step explanation:
For an equation of the form [tex]ax^2 +bx +c[/tex]
The quadratic formula is
[tex]\frac{-b\±\sqrt{b^2 -4ac}}{2a}[/tex]
In this case the equation is:
[tex]2x^2 - 10x + 7 = 0[/tex]
Then
[tex]a= 2\\b= -10\\c= 7[/tex]
Therefore, using the quadratic formula we have:
[tex]x=\frac{-(-10)\±\sqrt{(-10)^2 -4(2(7)}}{2(2)}[/tex]
[tex]x=\frac{5\±\sqrt{11}}{2}[/tex]
[tex]x_1=4.158[/tex]
[tex]x_2=0.8416[/tex]
ANSWER
[tex]x = \frac{ 5 }{2} - \frac{\sqrt {11} } {2} \: or \: x = \frac{ 5 }{2} + \frac{\sqrt {11} } {2} [/tex]
EXPLANATION
The given quadratic equation is:
[tex] 2{x}^{2} - 10x + 7 = 0[/tex]
Comparing this equation to
[tex] a{x}^{2} + bx + c = 0[/tex]
we have
a=2, b=-10 and c=7.
The solution is given by the quadratic formula;
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
We plug in the values to get,
[tex]x = \frac{ - - 10 \pm \sqrt{ {( - 10)}^{2} - 4(2)(7) } }{2(2)} [/tex]
This implies that
[tex]x = \frac{ 10 \pm \sqrt{ {100} - 56 } }{4} [/tex]
[tex]x = \frac{ 10 \pm \sqrt {44 } }{4} [/tex]
[tex]x = \frac{ 10 \pm 2\sqrt {11 } }{4} [/tex]
[tex]x = \frac{ 5 \pm \sqrt {11 } }{2}[/tex]
[tex]x = \frac{ 5 }{2} - \frac{\sqrt {11} } {2} \: or \: x = \frac{ 5 }{2} + \frac{\sqrt {11} } {2} [/tex]
Which transformation is a rigid transformation?
Answer:
A rigid transformation includes only rotation and translation.
Answer:
Step-by-step explanation:
the conference room of a hotel measures 40 ft by 50 ft has a 12-foot ceiling what is the area of the walls
Answer:
The area of the walls is [tex]2,160\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of the walls is equal to the perimeter of the conference room multiplied by the height of the ceiling
so
[tex]A=2[40+50](12)=2,160\ ft^{2}[/tex]