Answer:
(A) 44.7°Step-by-step explanation:
Use the law of cosines:
[tex]cos A=(b^2+c^2-a^2)/(2bc)[/tex][tex]cos A=(25^2+31^2-22^2)/(2*25*31)=0.711[/tex]m∠A = arccos(0.711) ≈ 44.7°Using law of cosines
[tex]\\ \sf\longmapsto cosA=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
[tex]\\ \sf\longmapsto cosA=\dfrac{25^2+31^2-32^2}{2(25)(31)}[/tex]
[tex]\\ \sf\longmapsto cosA=\dfrac{625+961-484}{1550}[/tex]
[tex]\\ \sf\longmapsto cosA=\dfrac{1102}{1550}[/tex]
[tex]\\ \sf\longmapsto cosA=0.7109[/tex]
[tex]\\ \sf\longmapsto A=cos^{-1}(0.7109)[/tex]
[tex]\\ \sf\longmapsto A=44.7°[/tex]
[tex]\sqrt{2x-6}=5[/tex]
giúp mình giải với bài này mình không biết làm mong các bạn giúp đỡ
Step-by-step explanation:
here is your answer
enjoy
please answer this question
Graph 1: Domain = 2 <= x < 12
Graph 1: Range = {2,4}
Graph 2: Domain = 3 <= x <= 10
Graph 2: Range = -6 <= y <= 4
Graph 3: Domain = 4 < x < 11
Graph 4: Range = -6 <= y < 2
What is the graph description for y=-10x
Solve ax + b = cx + d for x.
(Hint: Use the distributive property, where ax + bx = x(a + b).)
Answer: X = (d-b) / (a-c)
This way this worded is weird but I think I got it
Step-by-step explanation:
Subtract B from both sides
ax = cx +d -b
Then subtract CX from both sides
ax -cx =d-b
Distributive Property
x(a-c) =d-b
Divide both sides by a-c
X = (d-b) / (a-c)
Ivy wants to earn at least $800 this week in commission. What is the minimum amount she needs to sell in order to earn $800 if she earns a 6.25% commission on everything she sells? Round your answer to the nearest dollar if necessary.
Answer:12,800
Step-by-step explanation:
The function (x) = x is shown on the graph,
Which statement is correct?
The domain of the function is all real numbers
greater than or equal to 0.
The range of the function is all real numbers greater
than or equal to -1
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
Answer:
the domain of the function is all real numbers less than or equal to 0
After a 65% reduction, you purchase a new sofa on sale for $182. What was the original price of the sofa?
The original price was $ ?
Answer:
$280
Step-by-step explanation:
65% = 0.65
$182 ÷ 0.65 = $280
So, the sofa was originaly sold for $280. Hope this helps! :D
Write an equation of the line containing the given point and parallel to the given line.
(6,-9); 5x - 9y = 8
.....
Answer:
y = 5/9x - 37/3
Step-by-step explanation:
5x - 9y = 8
-9y = -5x + 8
y = 5/9x - 8/9
When a line is parallel, the slope remains the same.y = 5/9x + b
-9 = 5/9(6) + b
-9 = 10/3 + b
-37/3 = b
Pls answer this question cuz i don't know what is the answer on this one
Pls it's on the picc
Just zoom if you don't clearly see it
THANK YOU IN ADVANCE
And Btw it's 50 points
PRETTY PLSSSSSS
Answer:
1/7 because you do the inverse.
Answer:
7 is b
Step-by-step explanation:
Let f(x) = StartFraction x squared minus 5 x + 4 Over x minus 1 EndFraction and g(x) = 2 Superscript x minus 3. For which value of x does f(g(x)) have a discontinuity?
9514 1404 393
Answer:
x=1
Step-by-step explanation:
The function f(x) is undefined where its denominator (x+1) is zero. That will be the case for x=-1.
The composition f(g(x)) will give f(x) an argument of -1 when g(x) = -1. That will be the case when ...
2^x -3 = -1
2^x = 2 . . . . . add 3
x = 1 . . . . . . match exponents
f(g(x)) will have a discontinuity at x = 1.
Answer:
x=1
Step-by-step explanation:
Edge 2023
Find the domain: log2(1/64)=x
Step-by-step explanation:
find antilog of both sides
1. Which of these place values is found to the left of the 1 in 100?
O hundreds
tens
ones
thousands
Sorry I’m asking for help it’s just I don’t know my decimals
Answer:
Thousands
Step-by-step explanation:
If we place a number in left of the 1 in 100 then it's place value will be thousand.
e.g if we place 2 in left of the 1 in 100 then it's place value will be thousand (2,100).
The place value found to the left of the 1 in 100 is "tens." Option B
What are place values?The digit 1 in the hundreds place of the number 100 denotes the value of one hundred. In the tens spot, to the left of the 1, there is a 0, signifying that there are no tens in the given number. The final digit, 0, is in the ones position and stands for zero units. In our decimal system, place value knowledge is essential because it enables precise expression and comprehension of numerical values.
The place value system makes complicated numbers simpler and makes it possible for humans to carry out mathematical operations quickly. It lays the platform for more complex mathematical ideas and acts as the basis for computation.
Learn more about place values:https://brainly.com/question/27734142
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factorize 18x-2x^3+9-x^2
Answer:
(3 - x)(3 + x)(2x + 1)
Step-by-step explanation:
18x - 2x³ + 9 - x² ( factor the first/second and third/fourth terms )
= 2x(9 - x²) + 1 (9 - x²) ← factor out (9 - x²) from each term
= (9 - x²(2x + 1) ← 9 - x² is a difference of squares a² - b² = (a - b)(a + b) )
= (3² - x²)(2x + 1)
= (3 - x)(3 + x)(2x + 1)
Can someone help me
i will give brainiest
Answer:
I would label the short sides 2x+3 then the long sides 2x+4
2x+2 + 2x + 2 + 2x + 4 + 2x + 4 = 8x + 12
Step-by-step explanation:
^
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
guh7yf7hh u hcuhvu
Step-by-step explanation:
hhcg gxyvhudty hi ij u CV
A cube has a volume of 216cm/3.what is the area of the base of the cube
Answer: 36 cm^2
Step-by-step explanation:
Hello!
We can start by finding the cube root of 216, which is 6. This is the length of each side of the cube.
Now, the area of the base of the cube is equal to 6^2=36 cm^2.
3. (05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<- 3/4X-1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
>= means greater than or equal to
<= means less than or equal to
---------------------------------------------
Part A
The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.
The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)
--------------
The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.
The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)
--------------
If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions.
---------------------------------------------
Part B
Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not
For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.
Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3
We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas.
which of the following are the coordinatesof point f the image of point f after a rotation of 90 degrees about the origin
Answer:
It should be (3,0)
Step-by-step explanation:
a perpindicular line creates a 90º angle so following those lines makes the 0 on the x axis and since coordinates are x,y it should be (0,3)
Is it possible for an even degree function to have no zeros? Explain.
Answer:
A polynomial of even degree can have any number from 0 to n distinct real roots
Step-by-step explanation: Yes it can
i need help can someone help me?
Here's is the answer:
- 1/9
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Mrs. Kuryvial does not believe that a 7th grade math student can solve the following problem -5 1/3*-2 2/5. Please explain how to solve this problem step by step to prove Mrs. Kuryvial wrong
Hey! Please help! What is the slope of this line? I can't figure out how to read the graph correctly
Answer:
slope = -3
Step-by-step explanation:
The line is declining, which means that it will have a negative slope.
Using the slope formula:
m = (y2 - y1)/(x2 - x1)
Take two points from the graph:
Let (x1, y1) = (0, 2)
(x2, y2) = (2, -4)
m = (y2 - y1)/(x2 - x1)
m = (-4 - 2)/(2 - 0)
m = -6/2
m = -3
Therefore, the slope of the line is -3.
For your reference, attached is an edited screenshot of your given graph where it shows where I got the two points for solving the slope.
Jonathan is signing a lease for an apartment that rents for $1240/month.
How much will he pay to move in if he must pay the first and last months’ rent and a security deposit equal to 80% of his monthly rent?
$2976
$3472
$3542
$3720
The required amount that Jonathan needs to pay to move in the apartment is $3472.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Jonathan is signing a lease for an apartment that rents for $1240/month.
According to the condition, he must pay the first and last months’ rent and a security deposit equal to 80% of his monthly rent.
So,
Total amount to pay = sum of the first and last month rent + 80% of a month rent
Total amount to pay = 1240 + 1240 + 80% of 1240
Total amount to pay = 2480 + 0.80[1240] = $3472
Thus, the required amount that Jonathan needs to pay to move in the apartment is $3472.
Learn more about models here:
https://brainly.com/question/22591166
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You deliver 84 daily papers. What is the total number of papers
delivered if you work Monday-Friday delivering papers?
Answer:
420
Step-by-step explanation:
from monday to friday makes 5 days,and u deliver 84 papers a day,u just have to multiply by 5. Meaning 84×5, which would give u 420.
The Super Bowl half time show lasts 30 minutes. If the half time show is 1/7 of the total game time, how many hours is the Super Bowl from start to finish? Write your answer as a mixed number.
Answer:
3 1/2 hours.
Step-by-step explanation:
If the Half Time show is one-seventh of the show and lasts for 30 minutes, we can multiply that by 7 to get the total amount of minutes.
30 x 7 = 210
To convert the number of minutes to hours, 210 can be divided by 60 to result in a total of 3.5, therefore, the Super Bowl lasts for 3 1/2 hours.
solve for x
z=5x-11y
x=?
Answer:
x= z+11y/5hope it helps
Answer:
[tex]x = \frac{z + 11y}{5}[/tex]
Step-by-step explanation:
To solve for x, given the equation: z = 5x - 11y
Add 11y to both sides:
z + 11y = 5x - 11y + 11y
z + 11y = 5x
Divide both sides by 5 to isolate x:
[tex]\frac{z + 11y}{5} = \frac{5x}{5}[/tex]
[tex]\frac{z + 11y}{5} = x[/tex]
Change one number in the equation below to safely land the plane: y=2x-7
2. When graphing an inequality with a < symbol, use a _______ line.
a.) dotted
b.) solid
2. When graphing an inequality with a < symbol, use a dotted line.
it's A.Step-by-step explanation:
sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line.hope it helps
use the substitution method to solve the system of equations
Answer:
you need to give us the equation or we can't help you
Step-by-step explanation:
i'm sorry if this is not what you're looking for :(
Solving Two Step Equations
r/3 - 6 = -3
Answer:
r = 9
Step-by-step explanation:
r/3 - 6 = -6
First, you need to add 6 on both sides to isolate r/3:
r/3 = 3
Then, you need to multiply both sides by 3 to get r alone:
r = 9
r is 9