Answer:
O is greater than every
integer
HELP! BRAINLIEST WILL BE GIVEN;/ PLEASE
Answer:
17
Step-by-step explanation:
2(3x+3) = 6x-16+4x-10
6x+6=10x-26
-4x=-32
x=8
6x-16 = 48-16=32
3x+3 = 24+3=27
4x-10= 32-10=22
as arithmetic sequence WZ should be 17
Find the value. Need help on these questions ASAP
Answer:
7) Option D.
8) Option C.
9) Option C.
10) Option A.
Step-by-step explanation:
7) The "x" value can be found using the following trigonometrical identity:
[tex] sin(30) = \frac{12}{x} [/tex]
[tex] x = \frac{12}{sin(30)} = 24 [/tex]
Since "x" (the hypotenuse) is related to the opposite side by sin(θ).
So, the correct option is D.
8) The "y" value can be calculated with tan(θ):
[tex] tan(30) = \frac{12}{y} [/tex]
[tex] y = \frac{12}{tan(30)} = \frac{12}{\frac{\sqrt{3}}{3}} = 12\sqrt{3} [/tex]
Hence, the correct option is C.
9) The hypotenuse can be calculated with cos(θ):
[tex] cos(45) = \frac{5\sqrt{2}}{x} [/tex]
[tex] x = \frac{5\sqrt{2}}{cos(45)} = \frac{5\sqrt{2}}{\frac{\sqrt{2}}{2}} = 10 [/tex]
Thus, the correct option is C.
10) The value of the sides can be found by Pitagoras:
[tex] h^{2} = x^{2} + x^{2} [/tex]
[tex] x = \sqrt{\frac{h^{2}}{2}} = \sqrt{\frac{(12\sqrt{5})^{2}}{2}} = \sqrt{360} = 6\sqrt{10} [/tex]
Therefore, the correct option is A.
I hope it helps you!
What is domain restrictions and what causes them?
help me with this question
Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is 45.
Question:
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.
Answer:
101.5cm²
Step-by-step explanation:
The figure for the trapezium ABCD is attached to this response.
To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;
A = [tex]\frac{1}{2}[/tex] x (a + b) x h ------------------(i)
Where;
A = area of the trapezium
a and b are the parallel sides of the trapezium
h = height of the trapezium.
As shown in the figure,
AB and CD are parallel
Therefore, we can say that;
a = AB
b = CD
Also, from the figure,
The height of the trapezium is BP
Therefore, we can say that;
h = BP
We know that;
a = AB = 4cm
b = CD = 25cm
h = BP = 7cm
Substitute these values of a, b and h into equation (i) as follows;
A = [tex]\frac{1}{2}[/tex] x (4 + 25) x 7
A = [tex]\frac{1}{2}[/tex] x (29) x 7
A = 101.5
Therefore, the area of the trapezium is 101.5cm²
What is the slope ? Simplify your answer and write it as a proper fraction
I don’t understand this can someone help me
Answer:
slope is 0 because its rise over run and there is no run so 0 or undefined
Step-by-step explanation:
Answer:
It has an undefined slope because this vertical line does not run horizontally, meaning the "run" in rise/run is 0 and you cant divide anything by 0
Step-by-step explanation:
I’m confused a little please help
Answer:
m∠E = 60°
Step-by-step explanation:
The given information in the diagram are;
The shape of the drawing, ΔEDF = A right triangle
The length of the hypotenuse side opposite the right angle = 16·√46
The length of the leg adjacent to the reference angle ∠E = 8·√46
By trigonometric ratio, we have;
[tex]\dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = cos\angle E[/tex]
Plugging in the values gives;
[tex]cos\angle E = \dfrac{8 \cdot \sqrt{46} }{16\cdot \sqrt{46} } = \dfrac{1}{2}[/tex]
∴ m∠E = arccos(1/2)
Using a calculator or from tables or an online trigonometric ratio tool, we have
arccos(1/2) = 60°
∴ m∠E = arccos(1/2) = 60°.
Which expression is equivalent to the given expression?
4 ln x+ In 3 – In x
A. In(3x+3)
B. In(x^4 - x+3)
C. In(3x^3)
D. In(11x)
Answer:
C
Step-by-step explanation:
Using the rules of logarithms
loga + logb = log(ab)
loga - logb = log([tex]\frac{a}{b}[/tex] )
log[tex]x^{n}[/tex] ⇔ nlogx
Given
4lnx + ln3 - lnx
= 3lnx + ln3
= lnx³ + ln3
= ln(x³ × 3)
= ln(3x³) → C
The following is a parallelogram solve for the variables
Answer:
x = 13, y = 26, z = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
2x + 110 + 44 = 180
2x + 154 = 180 ( subtract 154 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
------------------------
2x and y are alternate angles and congruent , so
y = 2x = 2(13) = 26
--------------------------------
The opposite sides of a parallelogram are equal
3z - 1 = 14 ( add 1 to both sides )
3z = 15 ( divide both sides by 3 )
z = 5
2%, percent of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle School.
Answer:
14 kids
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
To find percents I usually just divide the 100% number by 100 in order to get the number that would be 1% of the whole. Thjen, I just multiply the 1% number by however many degrees you need to find.
700÷100=7
7×2=14
14 kids with red hair
A school conference room can seat a maximum of 103 people. The principal and two counselors need to meet with the school's student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum number of students that can attend each meeting?
Answer: 50
Step-by-step explanation:
Given
There are maximum of 103 people in room and principal and 2 counselor need to discuss eligibility requirements.
If each student must bring a parent with them
No of seats left after principal and 2 counselor occupied the seats are 103-3=100
A student and parent occupies at least 2 seats. For maximum students, only one parent is feasible.
So, maximum no of students are
[tex]\Rightarrow \dfrac{100}{2}=50[/tex]
If the scale factor of a figure is 6, what is the new length of the enlarged figure matched to the length of the orginal?
Original: 1 cm
Enlarged: 6 cm
Original: 7 cm
Enlarged: 42 cm
Original: 2.5 cm
Enlarged: 15 cm
Original: 5 cm
Enlarged: 30 cm
Answers:
Original = 1 ----> Enlarged = 6Original = 7 ----> Enlarged = 42Original = 2.5 ----> Enlarged = 15Original = 6 ----> Enlarged = 30It looks like you have the correct order. To get those answers above, we simply multiply the original length by the scale factor 6.
Example: 7*6 = 42
Factorise 3[tex]x^{2}[/tex]+5x+2
4
Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
4.
y=-6x+
+
Oy-x-6
O y=x+6
O y=6x+
PLEASE I NEED HELP
First, we have to understand the slope-intercept form.
[tex] \large \boxed{y = mx + b}[/tex]
A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.
In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.
Which equation represents a linear function that has a slope of 5 and a y-intercept of -6.
As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.
Therefore, substitute m = 5 and b = -6 in the equation.
[tex] \large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\ \large \boxed{ \tt{ \purple{y = 5x - 6}}}[/tex]
I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!
Write an inequality for the situation.
all real numbers y that are less than 4 or greater than 9
y < 4 or y > 9
4 < y < 9
y < 4 or y < 9
y < 9 or y > 4
Answer:
y < 4 or y > 9
Step-by-step explanation:
The symbol < means less than, while the symbol > means greater than. So, the inequality y < 4 means that y is less than 4, and the inequality y > 9 means that y is greater than 9. When put together you have all real numbers y that are less than 4 or greater than 9.
What's the inverse of f(x) = x-3/5
Answer:
y = x + 3/5
Step-by-step explanation:
1. Label this function 'y': y = x - 3/5
2. Interchange x and y: x = y - 3/5
3. Solve this for y: y = x + 3/5
This last result is the inverse of the given function.
Answer:
y = x + 3/5
Step-by-step explanation:
change f(x) to 'y'
y = x - 3/5
interchange 'x' with 'y'
x = y - 3/5
solve for y
y = x + 3/5
Math help please FAST
Answer:
180
60
40
Step-by-step explanation:
Angles in a triangle add up to equal 90 degrees
Equilateral - has all congruent angles and congruent sides
If a triangle has 3 angles and the angles add up to equal 180 then the measure of one angle in an equilateral = 180 / 3 = 60
Bisect means to split into to equal parts
So if you bisect an 80 degree angles you will have two 40 degree angles. ( Because 80/2 = 40 )
Answer:
40°
Step-by-step explanation:
bisecting an angle gives equal angles equivalent to half the size of the bisected angle for each of them
-20w^3+11w^3
Helppppp
Answer:
-9w^3
Step-by-step explanation:
Combine like terms. -20+11 = -9
Answer:
-9 w^3
Step-by-step explanation:
-20w^3+11w^3
Combine like terms
(-20+11) w^3
-9 w^3
Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?
Whoever answers correctly will be marked brainliest
Answer:
30%
Step-by-step explanation:
3+4+6+7= 20
6 (green) / 20
= 30%
Factorize: (+)^2 + 4 (+)+ 4
Answer:
Solution given:
x²+4x+4
x²+(2+2)x+4
x²+2x+2x+4
x(x+2)+x(x+2)
(x+2)(x+2)
(x+2)²
your
answer is
((+) +2)²
Use 3.14 = 7 to find the volume of the composite shape below.
15 in
20 in
18 in
The total volume of this composite shape is
Awnser: 16022 in3
Step-by-step explanation:
find the volume of the 2 cones find the volume if the semicircle then add the 2 volumes together.
A car uses 6 litres of petrol when travelling 66 Km. Calculate the number of litres of petrol used when travelling 165 Km?
Answer:
15L
Step-by-step explanation:
divide the number of km's you will travel(165) by the number you are given originally(66)- 165/66 is 2.5
then multiply 2.5 by the amount of litres it takes for the original 66 km (6L)- 2.5*6 is 15L
Solve 8x - 2y = 12 for y.
O A. y = 4x - 12
O B. y 1-8x+12
O C. y = 8x+6
D. y = 4x - 6
Answer:
D
[tex]8x - 2y = 12 \\ 2y = 8x - 12 \\ y = 4x - 6[/tex]
Evaluate the following expression when r= 3 and t = 3.
(2 + r) - 11
Answer:
-6
Step-by-step explanation:
substitute
(2 + 3) -11
5 - 11
-6
Answer:
The answer is -6
Step-by-step explanation:
First, plug in the numbers into the original equation - (2+(3))-11
Then, simplify. (5)-11
Simplify one more time. -6
(I dont see anywhere to use the (t) in your equation)
Select the correct answer.
Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he decides to mow lawns?
A.
the librarian employing another person
B.
the chance to earn by working in a library
C.
the chance to earn by mowing lawns
Answer:
B.
Step-by-step explanation:
The opportunity cost means what Henry will be missing out on by not working at the library. He loses the chance to earn by working in a library.
Answer:
B. The chance to earn by working in a library
Step-by-step explanation:
This is a guess
combine the radicals 9✔x -3✔x
Answer:
6√x
Step-by-step explanation:
Given :-
9√x - 3√x .For combining , take √x as common ,
=> √x ( 9 - 3 )
=> √x * 6
=> 6√x
what does the E stand for in PEMDAS
Answer:
P: parenthesis
E: Exponents
M: multiplication
D: division
A: Addition
S: substraction
Step-by-step explanation:
Maria is planning a road trip of 900 miles her car get 30 miles per gallon, and gas cost $3.50 per gallon how much should she budget for the trip
Answer:
Maria should budget $105 for the trip.
Step-by-step explanation:
First divide every 30 miles she is going doing for the trip.
900 divided by 30 = 30
So she will need 30 gallons to drive 900 miles.
30 x 3.50 = 105.
105 is how much she will pay for the gas.
The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.
Answer: [tex]-6,13[/tex]
Step-by-step explanation:
Given
The sum of the two numbers is 20
and the difference of the two is -6
Suppose, the numbers are x and y
[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]
[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]
[tex]\therefore y=13[/tex]
Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]