Answer:
65°
Step-by-step explanation:
The missing angle is x°
tan x° = [tex]\frac{opposite }{adjacent}[/tex]
tan x° = [tex]\frac{850}{400\\}[/tex]
tan x° = 2.125
Using a calculator insert
tan^(-1)(2.125) ≈ 65° (after rouding the the nearest unit)
Which point is a solution to the system;
2x + 2y = 18
-2x - 2y=-6
a
(3,5)
None of these
b
С
d
(1, 2)
(0,3)
(9,0)
e
Answer:
None of the listed
Step-by-step explanation:
[tex]Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution[/tex]
Solve the inequality -2x < 5, illustrating your solution on a number line.
Is -6 a solution of the inequality?
Answer:
No.
Step-by-step explanation:
Let's first and try to isolate x.
-2x < 5
(Divide by -2)
x > -5/2 ( < changes to > b/c it was divided by a negative)
x > -2.5
Since x is all values greater than -2.5, -6 is not within those bounds.
Thus, -6 is not a solution to the inequality.
Hope that helps!
Find the surface area of a cylinder with radius r = 6 and height h = 14.8 to the nearest tenth of a square cm. Use π = 3.14
Answer:
783.7 square units
Step-by-step explanation:
The formula for the surface area of a cylinder is ...
A = 2πr^2 + 2πrh = 2πr(r +h)
Using the given numbers, the area is ...
A = 2(3.14)(6)(6 +14.8) = 783.7 . . . square units
Answer:
About 783.7 square cm.
Step-by-step explanation:
The formula for the surface area of a cylinder is (2 * pi *r^2) + (2 * pi * r * h).
(2 * 3.14 * 6^2) + (2 * 3.14 * 6 * 14.8) = (2 * 3.14 * 36) + (2 * 3.14 * 6 * 14.8) = 6.28 * 36 + 6.28 * 88.8 = 226.08 + 557.664 = 783.744.
So, the surface area of the cylinder is about 783.7 square centimetres.
Hope this helps!
BRAINLIEST! will give BRAINLY! can someone please explain, I don't understand how to do this.
Answer:
101.58 in
Step-by-step explanation:
The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.
The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.
Using the sine ratio in the right triangle, then
sin16° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{28}{r}[/tex] ( multiply both sides by r )
r × sin16° = 28 ( divide both sides by sin16° )
r = [tex]\frac{28}{sin16}[/tex] ≈ 101.58 in
Answer:
The 3rd answer
Step-by-step explanation:
While calculating HCF using index notation, we choose ____________ index of common prime factors.
Answer:
power index
Step-by-step explanation:
Prime factor index form is expression of a number as product of its prime number. Here the prime factor is listed only once. It is necessary to insert the required power index to solve for the HCF
Can I get help with this problem?
Answer:
area of sector:
[tex] \frac{theta}{360} \times \pi \: {r}^{2} [/tex]
[tex] \frac{165}{360} \times \frac{22}{7} ( {8}^{2} )[/tex]
[tex] \frac{11}{24} \times \frac{1408}{7} [/tex]
[tex] \frac{1936}{21} [/tex]
[tex]92.19 \: {in}^{2} [/tex]
Answer:
the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]
Step-by-step explanation:
Use the fraction of the area of the circle associated with the red sector. Use a proportion to find the appropriate fraction knowing that a full circle [tex](360^o)[/tex] corresponds to the area:
[tex]Area=\pi\,R^2=\pi\, (8\,in)^2= 64\, \pi\,\,in^2[/tex]
then the proportion goes like:
[tex]\frac{64\,\pi\,\,in^2}{360^o} =\frac{sector}{165^o} \\ sector=\frac{64\,\pi\,165^o}{360^o}\,\,in^2\\sector\approx 92.15\,\,in^2[/tex]
Therefore, the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]
This grid follows two rules.
Rule 1 The sums of each row are equal.
Rule 2 The products of each column are equal.
The grid below follows the same two rules.
Work out the missing numbers.
a =
b =
c =
d =
Answer:
a = 4,
b = 12
c = 10
d = 15
Step-by-step explanation:
Since the product of each column is equal, therefore,
b*5 = 60
b = 60 ÷ 5 = 12
c*6 = 60
c = 60 ÷ 6 = 10
Since the sum of each column are equal, therefore,
12 + 10 + a = 5 + 6 + d
22 + a = 11 + d
Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.
Factors of 60 are:
(a, d)
(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)
(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)
(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)
(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]
(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)
(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)
Therefore,
a = 4,
d = 15
If you vertically stretch the quadratic parent function, f(x) = 2^x, by a factor of 3, what is the equation of the new function?
If you stretch on the y-axis then you are increasing/decreasing values at a every x.
The new function is therefore:
[tex]g(x)=3\cdot2^x[/tex]
Hope this helps.
What is the area of a circle whose diameter is 64
Answer:
A ≈ 3215.36
Step-by-step explanation:
A = πr²
Radius - D/2
Radius - 64/2 → 32
A = 3.14(32)²
A = 3215.36
Hope this helps! :)
Answer:
3215.36 um²
Step-by-step explanation:
d = 2r => r = d/2 = 64/2 = 32 um
A = π·r²
= 3.14·32²
= 3.14·1024
≈ 3215.36 um²
someone help asap math 10
Answer:
Required angle measures 39°
Step-by-step explanation:
Let's say, x measures the angle between the hypotenuse and the common base of two triangles.
Sin(x) = 5/8
x = 39°
This angle is complementary to the angle other than theta (let's say y) in the required triangle.
90 - x = y and 90 - theta = y
>>> Theta = x
Best Regards!
Determine the domain and range for the function.
f (x) = x + 7
Answer:
Domain: (−∞,∞)
Range: (−∞,∞)
Step-by-step explanation:
trust me
In the exam paper there are 12 questions. You will be rewarded 5 marks for each correct answer and will be deducted 2 marks if answered wrongly. Now Thurka scored 32 marks in the exam. So how many questions she did wrongly?
Answer:
Thurka got 8 questions right and 4 wrong.
Step-by-step explanation:
Thurka got "x" questions right and "y" questions wrong, therefore the sum of these questions must be equal to the total number of questions in that exam, which would be 12, therefore:
[tex]x + y = 12[/tex]
Since for each right question Thurka got 5 marks and for each wrong one 2 marks, then the total score can be written as:
[tex]5*x - 2*y = 32[/tex]
Solving the system of equations would give us the number of right and wrong questions.
[tex]\left \{ {{x + y=12} \atop {5*x-2*y=32}} \right.[/tex]
[tex]\left \{ {{2*x + 2*y=24} \atop {5*x - 2*y=32}} \right.[/tex]
[tex]7*x = 56\\x = \frac{56}{7} = 8[/tex]
[tex]y = 12 - x = 12 - 8 = 4[/tex]
Thurka got 8 questions right and 4 wrong.
An ordinary 6-sided die has a number on each face from 1 to 6 (each number appears on one face). How many ways can I paint two faces of a die blue, so that the product of the numbers on the painted faces isn't equal to 6?
Answer:
13
Step-by-step explanation:
There are 6 ways to choose the first number and 5 ways to choose the second number to paint so the total number of ways is 6 * 5 = 30 but we are over counting by a factor of 2 since 1 and 6 is the same as 6 and 1 so it's 30/2 = 15, not 30. The only choices that have a product of 6 are 2 and 3 or 1 and 6 so the answer is 15 - 2 = 13.
Answer:
13 ways
Step-by-step explanation:
Total number of distinct ways to pair two faces
= C(6,2) = 6! / (2!4!) = 15
Total number of ways to pair two faces so that the product equals six
=cardinality {1*6, 2*3} = 2
Therefore
number of ways to paint two faces such that the product is not six
= 15 - 2
=13
the domain of y=x^3 is
Answer:
This is a basic cubic function- thus the domain is all real numbers. You could think about domain as the possible x values for a graph. Since this cubic function extends from x=negative infinity to x=positive infinity, the range is all real numbers, or (-infinite, infinite) if you are told to write in interval notation.
Hope this helps!
The domain of [tex]y= x^{3}[/tex] are all real numbers, or R due to the fact that [tex]x^{3}[/tex] is a polynomial, which means its domain is R too.
Solution:
The domain of a particular expression is all real numbers except in the place where expression is undefined. The domain of any graph includes all the x-values that are solutions.
Interval Notation:
(-
Set-Builder Notation:
{x|x ∈R}
Determine the domain from the graph:
Thus, the domain of is:
(−∞,∞), {x|x∈R}
Learn more about the domain of polynomial:
https://brainly.com/question/12324899
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Hello!
Answer:
(x + 1).
Step-by-step explanation:
Begin by using the rational root theorem to find possible factors of this equation.
We get the following:
±1, ±3, ±1/2, ± 3/2
We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:
-1 | 2 1 -4 -3
+ -2 1 3
2 -1 -3 0
Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:
x = -1
x + 1 = 0
(x + 1) is the factor.
I hope this helped you!
Please help! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the length of LP? A.) 14 B.) 15 C.) 20 D.) 30
Answer:
B
Step-by-step explanation:
Since the diagonals of a rhombus bisect each other, that means P is the midpoint of LN. Therefore, LP = 1/2 * LN = 1/2 * 30 = 15.
Ishah spins a fair 5-sided spinner. She then throws a fair coin List all the possible outcomes she could get Ishah spins the spinner and tosses the coin. Work out the probability that she will get a 2 and a head PLZ HELP ITS URGENT WHO EVER WILL GIVE GOOD ANSWER WII GET 50 POINTS AND WOULD BE MARKED AS BRAINLIST
Answer:
The answer is 2/10 :P
Step-by-step explanation:
We have To list all the possibilities first ! : 1 head, 2 head, 3 head, 4 head, 5 head, 1 tail, 2 tails, 3 tails, 4 tails and 5 tails ! ;)
We have in total 10 possibilities !
So if we want to work out the probability that she will get a 2 and a head, the answer has to be 2/10 because we have 10 possibilities !
I hope I helped you ! :P
What is the solution of 3+ x-2/x-3<_4
Answer:
x≤2−√6 or 0<x≤2+√6
Write a two-column proof. Given: Triangle ACD is isosceles; <1 is congruent to <3 Prove: Segment AB || Segment CD
Answer:
AB ║ CD, reason If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel
Step-by-step explanation:
Statement, Reason
Triangle ACD is isosceles, Given
∠1 ≅ ∠3, Given
∠3 ≅ ∠4, Base angles of isosceles triangle
∠1 ≅ ∠4, Substitution
∠1 and ∠4, are alt int. ∠s, Definition
AB ║ CD, Have congruent alternate interior angles
If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel
The two-column proof that shows that Segment AB║Segment CD is shown in the image attached below (See attachment).
Given the image showing an isosceles triangle, ΔACD.
The two-column proof that shows segment AB || Segment CD has been provided in the table shown in the image attached below.
We know already that:
ΔACD is isosceles
∠1 ≅ ∠3
∠3 and ∠4 base angles of the isosceles triangle, therefore, ∠3 ≅ ∠4.
By substitution, ∠1 ≅ ∠4
∠1 and ∠4 are alternate interior angles, therefore, based on the Converse of Alternate Interior Angles Theorem: AB║CD
The complete two-column proof is in the image attached below.
Learn more about Alternate Interior Angles Theorem on:
https://brainly.com/question/19486848
What is the circumference of a circular swimming pool with a diameter of 6 ½ feet? ______________ ft. (use for pi) A. 6 3/7 B. 71 1/2 C. 9 9/14 D. 20 3/7
Answer:
The answer is option D
Step-by-step explanation:
Circumference of a circle is πd
where d is the diameter
From the question
d = 6½ feet = 13/2 feet
Circumference is
π × 13/2
= 22/7 × 13/2
= 143/7
[tex] = 20 \frac{3}{7} [/tex]
Hope this helps you
Answer:
d
Step-by-step explanation:
/its wat he sed
Working out simultaneous equations.
Answer:
x = 6/5
y = 8/5
Step-by-step explanation:
3x - y = 2
2x + y = 4
Add the equations, cancelling y.
5x = 6
x = 6/5
Put x as 6/5 in the second equation and solve for y.
2(6/5) + y = 4
12/5 + y = 4
y = 4 - 12/5
y = 8/5
I need help with this please
Hey there! :)
Answer:
0.3.
Step-by-step explanation:
Looking at the row for "Less than 80° F", the column for "Rain" shows a 0.3 probability in the table. Therefore:
The probability of rain on a day less than 80°F is 0.3.
To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10
Answer:
y = 6
Step-by-step explanation:
You should always multiply by the easiest choice(which I see is multiplying the 7 and the 3 to get 21
7(9x + 3y = -18)
-3(8x + 7y = 10)
63x + 21y = -126
-24x -21y = -30
39x = -156
and solve to get x = -4
then plug -4 into x any of the equations to get y = 6
( 8(-4) + 7y = 10
-32 + 7y = 10
7y = 42
y = 6)
Answer:
The first equation should be multiplied by - 7 and the second equation by 3 .
Step-by-step explanation:
answer on edge
The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness. It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418−418minus, 418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 884888488848 meters. It takes 209209209 seconds to boil a perfect egg there. T(a)T(a)T, left parenthesis, a, right parenthesis models the time (in seconds) it takes to boil a perfect egg at an altitude of aaa meters. Which number type is more appropriate for the domain of TTT?
Answer:
The domain is -418 < a < 8848 where a is an integer.
Step-by-step explanation:
We see from the data given that the domain of T(a) takes both positive and negative integer values ( 8848 meters and -418 meters); T(a) never gets decimal values (and in real life thy won't be of much use because we are not looking for that much accuracy).
So the appropriate number type for the domain of T(a) would be integers. And if you are interested, the domain is -418 < a < 8848.
Hour many hours are in 7 days?
Answer: 168 hours
Step-by-step explanation:
There are 24 hours in a day. Thus, simply multiply 7*24 to get 168.
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
Answer: There are 168 hours in 7 days.
Since there 24 hours in a day, Multiply 24 times 7 and you get 168.
Example : 24 x 7 = 168.
Suppose N coins lie heads up on a table. In one turn, you can turn over any (N−1) coins. Is it possible that N coins could lay tails up in any number of turns, if a N=15 ?
Answer:
The answer is no
Step-by-step explanation:
no
Can someone help me please
A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice. Does a possible solution of (12, 36) make sense for this function? Explain your answer.
A.Yes. The input and output are both possible.
B.No. The input is not possible.
C.No. The output is not possible.
D.No. Neither the input nor output is possible.
Answer:
B.No. The input is not possible.
Step-by-step explanation:
According to the given scenario, as we know that f(x) indicates that the baskets number and x the number of players at the practice.
Therefore, if we are having the point (12, 36) we can conclude that during practice there were 36 baskets and 12 players.
Hence, it does not make any sense which results that input is not possible
II NEED THIS ASAP WILL GIVE BRAINLIEST Which number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.
Answer:
An arrow that goes from 0 to negative 3 and from negative three to 4.5
Give me brainliest,5stars,and thanks plz!
Answer:
arrow goes from negative 3 to negative 1.5 and from 0 to negative 3
Step-by-step explanation:
I need help with this question!
Answer:
A = 0 -7 b= 0 -7
3 2d 3 2d
Let's calculate A and B:
A= 0*2d- 3*(-7) = -3*(-7) = 21B= 0.2d- 3*(-7) = -3*(-7) = 21Calculte (AB)^(-1):
(AB)^(-1) = (21*21)^(-1) = (21²)^(-1) = 21^(-2)Calculte B^(-1) and A^(-1):
B^(-1) * A^(-1) = 21^(-1) * 21^(-1)= 21^(-1-1) = 21^(-2)so:
(AB)^(-1) = B^(-1) * A^(-1)