Answer:
x ∈ {0, π, 2π}
Step-by-step explanation:
The expression can be simplified, which facilitates an answer.
tan(x -π) -cos(x -3π/2) = 0
The tangent function has a period of π, so tan(x-π) = tan(x). The cosine function shifted right by 3π/2 is equivalent to the opposite of the sine function.
tan(x) +sin(x) = 0 . . . . substitute simpler equivalents
sin(x)/cos(x) +sin(x) = 0 . . . . use equivalent for tan(x)
sin(x)(1/cos(x) +1) = 0 . . . . factor out sin(x)
sin(x)(cos(x)+1)/cos(x) . . . . . combine terms to a single fraction
This has solutions where sin(x) = 0 and where cos(x) = -1. Those solutions are integer multiples of π.
x ∈ {0, π, 2π}
Answer:
B
Step-by-step explanation:
work out the total area of glass needed to make the container
ill give brainliest for best answer
Answer:
15200 cm²
Step-by-step explanation:
from inspection of the diagram, we can see that the prism comprises:
2 congruent triangles1 base rectangle2 congruent side rectanglesTriangle
Area of triangle = 1/2 x base x height
Given:
base = 60 cmheight = 40 cm⇒ area = 1/2 x 60 x 40 = 1200 cm²
Base rectangle
Area of a rectangle = width x length
Given:
width = 60length = 80⇒ area = 60 x 80 = 4800 cm²
Side rectangle
Area of a rectangle = width x length
Given:
width = 50length = 80⇒ area = 50 x 80 = 4000 cm²
Total area = 2 triangles + base rectangle + 2 side rectangles
⇒ total area = (2 x 1200) + 4800 + (2 x 4000) = 15200 cm²
Tahia finds out that the cost of renting a car is $25 per day plus a one-time fee of $75.50. for insurance. How many days can the car be rented if the total cost is to be no more than $525?
A. Write an inequality to model the situation. Let represent the number of days the car is rented.
B. Solve and graph the inequality.
C. Interpret the solution in the context of the problem.
(I don't know why the names are like that)
Answer:
620.5 is correct due to my knowledge. :3
Step-by-step explanation:
can you help me please?
Answer:
93
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. The given measures, 37 and 56, sum up to 93. 180-93 = 87. This means the last interior angle is 87 degrees. But, the degree measure of a straight line is also 180 degrees, so 180-87 is 93, the answer.
The figures are similar. Find x.
Answer:
x=15
Step-by-step explanation:
divide 20 by 8 and you get 2.5
multiply 2.5 by 6
In which triangle is the value of x equal to tan−1(StartFraction 3. 1 Over 5. 2 EndFraction)? (Images may not be drawn to scale. ).
The right-angle triangle shows this condition. Then the value of angle x is 30.80°.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The expression is given as
[tex]\rm x = \rm tan ^{-1} \dfrac{3.1}{5.2}[/tex].
We know that the tangent is the ratio of the perpendicular to the base of the right-angle triangle.
x will be the angle and the opposite side of the x will be the perpendicular of lengths 3.1 and 5.2 will be the base of the that is along the angle x.
The value of x is 30.80°.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
(6/4-2/4)•(2-1/2)=? Con solucion
Answer:
[tex] \frac{1}{2} [/t
Step-by-step explanation:
[tex]( \frac{6}{4} - \frac{2}{4} ) \times (2 \times \frac{1}{2} )[/tex]
[tex]( \frac{6 - 2}{4} ) \times ( \frac{2 - 1}{2} )[/tex]
[tex] \frac{4}{4} \times \frac{1}{2} [/tex]
[tex] \frac{1}{2} [/tex]
Rob buys a rocking chair priced at 27$. if the sales tax is 10%, what will be the total cost including tax?
Answer:
$29.7
Step-by-step explanation:
10 percent of 27 is 2.7 then you add 27 and 2.7 and you get 29.7
Given the lengths of two sides of a triangle. write an inequality to indicate between which two numbers the length of the third side must fall. 8 and 13. 11.5 and 23.6. 22 and 15. 13.2 and 6.7. and 23 and 44. answer for each of the problems like __< 3 rd side<__
Answer:
1. 5 <3rd side<21 2. 12.1<3rd side<35.1
Step-by-step explanation:
Answer:
1: 5 < 3rd side <21
2: 12.1< 3rd side < 35.1
3: 7<3rd side < 37
4: 6.5 < 3rd side 19.9
5 : 21 < 3rd side 67
Step-by-step explanation:
For example you have 5 and 10
you take 5 + 10 to get your side and you do
the biggest number - the smaller number to get the _ <3rd.
So if you have 5 and 10 you know that it would be 5 < 3rd side < 15
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
A. MO/SA = OE/AW
Step-by-step explanation:
A. would be your correct answer because if you analyze the triangles you can see that the similar sides would be MO and SA, OE and AW, and ME and SW. In all of the answers, they compare sides that arent similar like OE/SW. However, in the first answer, the sides they compare are indeed similar, as you can see by what I listed above. These sides are similar because they are both the adjacent and opposite sides of each triangle.
Hope this helps! :)
Pls help me with this question i cant figure it out
Answer:
5
0.1
10
10
Step-by-step explanation:
|actual temp - estimate| = |50 - 45| = |5| = 5
5/50 = 0.1
0.1 × 100 = 10
10
-5 (2b+7) + b < -b -11
Answer:
b > -3
Step-by-step explanation:
-5(2b+7) + b< -b - 11
Distribute -5
-10b - 35 + b < - b - 11
Combine like terms.
-9b - 35 < - b - 11
Add b to both sides.
-8b - 35 < -11
Add 35 to both sides.
-8b < 24
Divide by -8. REVERSE THE SYMBOL!! because dividing by a negative number.
b > -3
-3/5x-7/10x+1/2x = -56
Answer:
x=70
Step-by-step explanation:
Im so confused please helpp
Answer:
x=115
Step-by-step explanation:
I hope this helps you!!
given the table, write the equation in the slope-intercept form
Answer:
y=2x+6
Step-by-step explanation:
Slope intercept form is:
y=mx+b
m: slope
b: y-intercept
We can start by solving for the slope. The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in any two x, y pairs from the table into the equation. Let's use (-3, 0) and (0, 6):
[tex]Slope=\frac{6-0}{0-(-3)}=\frac{6}{0+3}=\frac{6}{3}=2[/tex]
y=2x+b
Now, we can plug in a x, y pair from the table in for x and y to solve for the y-intercept. Let's use (0, 6):
y=2x+b
6=2(0)+b
6=0+b
b=6
Therefore the equation is:
y=2x+6
Y’all please help
Find the missing length round to the nearest 10th if necessary
Answer:
c ≈ 70.7
Step-by-step explanation:
Solve using the Pythagorean theorem:
[tex]50^2 =50^2 = c^2[/tex][tex]2500 + 2500 = c^2\\[/tex][tex]5000 = c^2[/tex][tex]c = \sqrt{5000[/tex][tex]c = 70.71067811....[/tex][tex]c = \text{approx 70.7}[/tex]
-Chetan K
there are 3 yellow marbles and 8 orange marbles in a bag. you randomly choose one of the marbles. what is the probability of choosing a yellow marble?
Answer:
there is a 3/11 chance or a 27.272727272% chance
FInd x and y
I think 5x+3 means the entire measure of the bottom left angle
Answer:
y = 6°
x = 19.4°
Step-by-step explanation:
Use alternating interior angles
The angle adjacent to 5x + 3 is equal to 58 because of alternating interior angles.
58+100+3y+4 = 162 + 3y
162 + 3y = 180
3y = 18
y = 6
The two base angles are equal because the two lines are parallel
5x + 3 = 100
5x = 97
x = 19.4
Hope this helps :)
Have an awesome day!
Sophia has 7m of ribbon to help decorate a room. She will cut pieces of a ribbon that are each r inches long. (1in = 2.54cm)
Which expression can help find the number of pieces of ribbon that she will have?
candy had some money. she bought a drink for £1.45 and a piece of cake for £1.20 she now has two thirds of her money left. how much money did candy to start with? i suck at fraction
The amount of money Candy started with after spending on drinks and cakes is £7.95
How to find the amount of money she started with?She bought a drink for £1.45 and a piece of cake for £1.20.
She has two thirds of here money left.
Let the money she has initially = x
Therefore,
2 / 3 x = x - 1.45 - 1.20
2 / 3 x = x - 2.65
subtract x from both sides
2 / 3 x - x = - 2.65
2x - 3x / 3 = - 2.65
- x / 3 = - 2.65
cross multiply
-x = - 2.65 × 3
- x = -7.95
x = £ 7.95
Therefore, Candy started with £7.95
l
earn more on amount here: https://brainly.com/question/16969113
#SPJ2
pls help
Match the following items by evaluating the expression for x = -2.
x ^-2
x ^-1
x ^0
x ^1
x ^2
50 points!
Answer:
Exponent rules used:
[tex]a^{-b}=\dfrac{1}{a^b}[/tex][tex](-a)^b=a^b \ \ \ \textsf{if b is even}[/tex][tex]a^0=1, \ a\neq 0[/tex][tex]x^{-2}=\dfrac{1}{x^2}= \dfrac{1}{(-2)^2}=\dfrac{1}{2^2}=\dfrac14[/tex]
[tex]x^{-1} = \dfrac{1}{x}= \dfrac{1}{-2}=-\dfrac12[/tex]
[tex]x^0=1\implies (-2)^0=1[/tex]
[tex]x^1=x =-2[/tex]
[tex]x^2=(-2)^2=2^2=4[/tex]
Solve for x. 3 (x-4) < x-5
Answer:
x < 7/2
Step-by-step explanation:
Can someone please help me? :(
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
im not good in this but thats insane.
12 meters
or what is problem?
circle has a radius of 13 cm, What is its circumference?
Answer:
C≈81.68cm is the answer.
i need to multi-step function inverse, photo will be included
Answer:
inverse: [tex]f^{-1}(x) = \sqrt[5]{x^3 - 5}[/tex]
explanation:
Given: f(x) = [tex](x^5 +5)^{\frac{1}{3} }[/tex]
let f(x) be y
y = [tex](x^5 +5)^{\frac{1}{3} }[/tex]
To find inverse, make x the subject.
[tex]y^3 = x^5 + 5[/tex]
[tex]y^3 - 5 = x^5[/tex]
[tex]x = \sqrt[5]{y^3 - 5}[/tex]
change signs:
[tex]f^{-1}(x) = \sqrt[5]{x^3 - 5}[/tex]
Please help with this
The organization of the numbers in the triangles would look like this from top to bottom and from right to left: 2, 8, 4, 9, 3, 5, 7, 6, 1.
How to organize the numbers?To organize the numbers we must take into account the final result that the sections highlighted in color, green, red and yellow, must add.
A key to being able to organize the numbers correctly was taking into account that the largest numbers could not be in the same section because they would add up to more than the required final number, 22.
According to the above, the distribution of the numbers was carried out in the following way and all the results coincide:
Red section:
2 + 4 + 9 + 6 + 1 = 22
Green section:
2 + 4 + 8 + 5 + 3 = 22YellowSection:
3 + 5 + 7 + 6 + 1 = 22Learn more about sums in: https://brainly.com/question/13013054
What does p equal in 5(p-3)=63
Given Equation :-
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 5(p-3) = 63}[/tex]
We are asked to find the value of p in the above equation.
First multiply (p-3) by 5 –
[tex]\qquad[/tex][tex] \sf \longrightarrow 5 \times p - 5 \times 3 = 63[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - 15 = 63[/tex]
Now, add 15 to both sides –
[tex]\qquad[/tex][tex] \sf \longrightarrow 5p -15 +15 = 63 +15 [/tex]
Now, we can cancel 15 from Left side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - \cancel{15 }+\cancel{15 }= 63 +15 [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 5p = 78[/tex]
Divide both sides by 5–
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{5p}{5} = \dfrac{78}{5}[/tex]
Cancel 5 from left side also cancel 78/5, which can be divided by 15.6.
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{5}p}{\cancel{5}} =\cancel{\dfrac{ 78}{5}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow p = 15.6}[/tex]
Henceforth, value of p is 15.6.Given :
5(p – 3) = 63To Find :
The value of p.Solution :
[tex]\qquad\sf{ { \dashrightarrow{ 5(p - 3) = 63}}}[/tex]
Using Distributive property, we get :
[tex]\qquad\sf{ { \dashrightarrow{ 5p - 15 = 63}}}[/tex]
Now, Transposing (-15) to the right side, which then becomes positive :
[tex]\qquad\sf{ { \dashrightarrow{ 5p = 63 + 15}}}[/tex]
[tex]\qquad\sf{ { \dashrightarrow{ 5p = 78}}}[/tex]
Dividing 5 from both sides we get :
[tex]\qquad\sf{ { \dashrightarrow{ \dfrac{5p}{5} = \dfrac{78}{5} }}}[/tex]
[tex]\qquad\bf{ { \dashrightarrow{ p = 15.6 }}}[/tex]
⠀
Therefore, the value of p = 15.6 .What is 5 divided by 1/4?
A 1/20 |
B 5/4
C 4/5
D 20
Answer:
D. 20
Step-by-step explanation:
You do KEEP CHANGE FLIP:
Multiply 5 by 4. You get 20/1 which is 20
Can someone help me please i’ll will give brainiest
Answer:
[tex]y = (5 + x)^2[/tex]
Step-by-step explanation:
"The square of the sum of x and 5 is equal to y."
Let's use our clue words that indicate what our equation will be.
Let's start easy, equal to y.
y =
Now let's look at the rest of the sentence minus the phrase we just used.
The square of the sum of x and 5.
The sum of x and 5 goes first,
x + 5
and since we are looking for the square of x + 5:
(5 + x)^2
therefore,
[tex]y = (5 + x)^2[/tex]
Answer:
square of y looks like y2
five times y2is written 5y2
square of x looks likes x2
usually, a mathematical expression is written in alphabetical order x2+5y2
Kayla-
HOPE I GET BRAINLIEST!
PLS HELP I CANT FAIL THIS
Answer:
it would be the first one!
Step-by-step explanation: