Answers
Answer:
The answer of this question is 78°.
Step-by-step explanation:
Let angle X be denoted by y then angle Z=y (because isosceles angles of a traingle is equal)
Now,
y+y+24°=189°
2y+24°=180°
2y=180°-24°
y=156/2
y=78°
Answer:
so the answer is 78°
Step-by-step explanation:
Uhm I hope it helps
Related Questions
Plz help me ASAP! I will mark brainliest
Answers
Answer:
x=20
<B=150°
Step-by-step explanation:
Opposite Interior Angles
8x-10=3x+90
8x-3x=90+10
5x=100
x=20
<B=3x+90
=3(20)+90
=60+90=150
Answer:
x=20
<B = 150
Step-by-step explanation:
The angles are alternate interior angles and when the lines are parallel, alternate interior angles are equal
8x-10 = 3x+90
Subtract 3x from each side
8x-10 -3x = 3x+90-3x
5x-10 = 90
Add 10 to each side
5x-10 +10 = 90+10
5x = 100
Divide by 5
5x/5 = 100/5
x = 20
<B = 3x+90
= 3*20 +90
= 60+90
= 150
The result of adding 14 to twice a number is the same as subtracting 8 from four times that number. Find that number.
Answers
Answer:
11
Step-by-step explanation:
Let the number be x
2x + 14 = 4x - 8 Add 8 to both sides
2x + 14 + 8 = 4x Combine
2x + 22 = 4x Subtract 2x
22 = 2x Divide by 2
11 = x
Write the equation for the line that passes through the points (4, 5) and
(6,9). *
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
first find slops
(9-5)/(6-4) = 4/2 = 2 = m
y = mx + b
5 = 2(2) + b
1 = b
y = 2x + 1
Answer:
y = 2x - 3
Step-by-step explanation:
gradient of the line is
[tex] \frac{9 - 5}{6 - 4 } = 2[/tex]
equation will be:
[tex] \frac{y - 5}{ x - 4} = 2[/tex]
y - 5 = 2x - 8
y = 2x - 3
[tex]15 \times 94 - 89 \div 5[/tex]
Answers
1410-17.8= 1392.2
The area of a trapezium is 31.5 cm². If the parallel sides are of length 7.5 cm and 5.3 cm, calculate the perpendicular distance between them
Answers
Answer:
The answer is 4.9cmStep-by-step explanation:
To find the perpendicular distance between them that's the height we use the formula
[tex]Area \: \: of \: \: a \: \: trapezium = \frac{1}{2} (a + b) \times h[/tex]
where
a and b are the parallel sides of the trapezium
h is the perpendicular distance
From the question
Area = 31.5cm²
a = 7.5 cm
b = 5.3 cm
Substituting the values into the above formula we have
[tex]31 .5 = \frac{1}{2} (7.5 + 5.3) \times h[/tex]
[tex]31.5 = \frac{1}{2} \times 12.8h[/tex]
[tex]31.5 = 6.4h[/tex]
Divide both sides by 6.4
[tex]h = \frac{31.5}{6.4} [/tex]
h = 4.921875
We have the final answer
h = 4.9cmHope this helps you
Yet another calculus question :)
Given [tex]y = x^3 - 2x[/tex] for [tex]x \geq 0[/tex], find the equation of the tangent line to y where the absolute value of the slope is minimized.
I have tried taking both the first and second derivatives and setting them equal to 0 and using that as the answer, but they're incorrect. Could somebody please explain how to complete the question correctly? Thank you so much!
Answers
Answer: y = (-4/3)*sqrt(2/3)
This is the same as writing [tex]y = -\frac{4}{3}\sqrt{\frac{2}{3}}[/tex]
============================================================
Explanation:
The phrasing "where the absolute value of the slope is minimized" is an interesting way of saying "the tangent slope is 0". This is because absolute values are never negative, so the smallest it can get is 0.
Your teacher has given you
y = x^3 - 2x
which differentiates into
dy/dx = 3x^2 - 2
after using the power rule
The derivative function lets us determine the slope of the tangent. The slope is the dy/dx value. Since we want a slope of 0, we'll set 3x^2-2 equal to zero and solve for x. So you have the correct idea, but you won't involve the second derivative.
dy/dx = 0
3x^2 - 2 = 0
3x^2 = 2
x^2 = 2/3
x = sqrt(2/3)
Notice how I'm ignoring the negative version of this root. This is due to the fact that [tex]x \ge 0[/tex]
-------------------------
Now plug this x value back into the original equation to find its corresponding y coordinate.
y = x^3 - 2x
y = x(x^2 - 2)
y = sqrt(2/3)*( 2/3 - 2 )
y = sqrt(2/3)*( -4/3 )
y = (-4/3)*sqrt(2/3)
Note that x = sqrt(2/3) leads to x^2 = 2/3 after squaring both sides.
-------------------------
Therefore, the equation of this tangent line is y = (-4/3)*sqrt(2/3)
All horizontal lines are of the form y = k, for some constant k. This constant value is basically what number you want the horizontal line to go through on the y axis. That number would be (-4/3)*sqrt(2/3).
Which expression represents the prime factorization of 243?
A ) 3×3×3×3×2
B ) 3×3×3×3×3
C ) 3×3×3×3×2×2
D ) 3×3×3×3×3×3
Answers
Answer: B) 3 × 3 × 3 × 3 × 3
Concept:
In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.
Solve:
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B
Step-by-step explanation:
how could it not be??
Which value is equivalent to
(7•5•2)^2 X ( 5^0 ) X 2-^9?
( 7•3 ) ( 2-^3)
Answers
Answer:
[tex]\frac{25}{144}[/tex]
Step-by-step explanation:
[tex](\frac{7 * 5 * 2}{7 * 3} )^2 * (\frac{5^0}{2^-3})^3 * 2^{-9}[/tex]
Simplified becomes;
[tex](\frac{10}{3})^2 * 2^3 * \frac{1}{2^9}[/tex]
Simplifying further gives; [tex]\frac{25}{144}[/tex]
one third of a number is 6
Answers
Answer:
2
Step-by-step explanation:
Find all solutions to the following equation
Answers
Answer:
x = -1
Step-by-step explanation:
-2/ ( x * (x+2)) = ( x+3) / ( x+2)
Using cross products
-2 ( x+2) = ( x+3) x* (x+2)
Divide each side by (x+2) This means x cannot equal -2 because we are dividing by 0
-2 = x ( x+3)
Distribute
-2 = x^2 +3x
Add 2 to each side
0 = x^2 + 3x+2
Factor
0 = ( x+2) (x+1)
Using the zero product property
x+2 = 0 x+1 = 0
x = -2 x = -1
But above we said x cannot equal -2
so x = -1
The solution we said x cannot equal -2so x = -1
Step-by-step explanation:
-2/ ( x * (x+2)) = ( x+3) / ( x+2)
Using cross products
-2 ( x+2) = ( x+3) x* (x+2)
Divide each side by (x+2) This means x cannot equal -2 because we are dividing by 0
-2 = x ( x+3)
Distribute
-2 = x^2 +3x
Add 2 to each side
0 = x^2 + 3x+2
Factor
0 = ( x+2) (x+1)
Using the zero product property
x+2 = 0 x+1 = 0
x = -2 x = -1
To learn more about : solution
https://brainly.com/question/24644930
#SPJ8
what's the square footage of 12'3" * 18'4"
Answers
Answer:
multiply length time width
Factorize: 4m^2-y^2+4m+1
Answers
Answer:
(2m + 1 + y) (2m + 1 - y)
Step-by-step explanation:
steps are done in the above photo and i have also written the identifies
What the answer question
Answers
Answer:
P = 44Step-by-step explanation:
JK = JO = 4
MN = NO = 6 ⇒ LM = 18 - 6 = 12
KL = LM = 12
NJ = NO + OJ = 6 + 4 = 10
JL = JK + KL = 4 + 12 = 16
LN = 18
P = NJ + JL + LN = 10 + 16 + 18 = 44
the nth term of the quadratic sequence is 3n² - 10 work out the 5th term of this sequence .
NEED HELP
Answers
Answer:
The answer is - 65Step-by-step explanation:
From the question the nth term of the sequence is
3n² - 10
where n is the number of terms
Since we are finding the 5th term
n = 5
Substitute this value into the above formula
That's
3(5)² - 10
= 3( 25) - 10
= 75 - 10
We have the final answer as
- 65Hope this helps you
I will give brainlist
Answers
Answer:
54
Step-by-step explanation:
162 divided by 3 is 54
Answer:
54 words per minute
Step-by-step explanation:
in 3 minute Rachel types 162 words
so, in 1 minute Rachel types 162words÷ 3 minutes
= 54 words per minute
A theme park ride carriage with a mass off 1000kg when empty needs to be accelerated at 0.5m/s2 along a horizontal track. What force is required to accelertae the empty ride carriage
Answers
Answer:
Required force (F) = 500 N
Step-by-step explanation:
Given:
Mass of carriage (m) = 1,000 kg
Acceleration (a) = 0.5 m/s²
Find:
Required force (F)
Computation:
Required force (F) = Mass × Acceleration
Required force (F) = 1,000 kg × 0.5 m/s²
Required force (F) = 500 kg-m/s²
Required force (F) = 500 N
Answer:
Answer:
Required force (F) = 500 N
Step-by-step explanation:
Given:
Mass of carriage (m) = 1,000 kg
Acceleration (a) = 0.5 m/s²
Find:
Required force (F)
Computation:
Required force (F) = Mass × Acceleration
Required force (F) = 1,000 kg × 0.5 m/s²
Required force (F) = 500 kg-m/s²
Required force (F) = 500 N
THANKS
1
3.0
(2 votes)
Step-by-step explanation:
Given:
Mass of carriage (m) = 1,000 kg
Acceleration (a) = 0.5 m/s²Find:Required force (F)Computation:Required force (F) = Mass × AccelerationRequired force (F) = 1,000 kg × 0.5 m/s²Required force (F) = 500 kg-m/s²
Required force (F) = 500 N
How do you simplify 3 times the square root 13?
Answers
Answer:
3√13
Step-by-step explanation:
3√13
This expression cannot be simplified because you cannot take any common factor outside the root.
find the last common denominator for these two rational expressions
Answers
Answer:
Least common denominator = (x - 1)²(x - 2)
Step-by-step explanation:
Least common denominator of two rational expressions = LCM of the denominator of the expressions.
[tex]\frac{x^3}{x^2-2x+1}[/tex] and [tex]\frac{-3}{x^{2}-3x+2}[/tex]
Factorize the denominators of these rational expressions,
Since, [tex]x^{2}-2x+1[/tex] = x² - 2x + 1
= (x - 1)²
And x² - 3x + 2 = x² - 2x - x + 2
= x(x - 2) -1(x - 2)
= (x - 1)(x - 2)
Now LCM of the denominators = (x - 1)²(x - 2)
Therefore, Least common denominator will be (x - 1)²(x - 2).
question : 4(3x + 2) -6 x 6
Answers
Answer:
x= 24
Step-by-step explanation:
open the bracket
4×3x =12x + 4 × 2 =8
12×+ 8-6×6
12×+ 12
x= 24
Answer:
12x - 28
Step-by-step explanation:
Because of PEMDAS you start with the parentheses and distribute the 4.
So,
(12x + 8) -6 x 6
Then, solve for the 6's
(12x + 8) -36
Remove the parentheses
12x + 8 - 36
Lastly, you get
12x - 28.
This is as far as you can go because there is no equals sign so you cannot actually solve for x.
10.
Define an operation ★ on the set of real numbers as follows:
a ★ b = 0.5ab
If 0.1 ★ b = 10, then evaluate bb.
a. 500
b. 200
c. 20
d. 50
Please explain how you got your answer.
Answers
If a ★ b = 0.5ab, then
0.1 ★ b = 0.5 (0.1) b = 0.05b = 10
==> b = 10/0.05 = 200
True or false? If false give counterexample The product of a rational number and an integer is not an integer
Answers
Answer:
False
Step-by-step explanation:
Required
State if the product of rational numbers and integer is an integer
The statement is false and the proof is as follows
Literally, rational numbers are decimal numbers that can be represented as a fraction of two integers;
Take for instance: 0.2, 0.5, 2.25, etc.
When any of these numbers is multiplied by an integer, the resulting number can take any of two forms;
1. It can result to an integer:
For instance;
[tex]0.2 * 5 = 1[/tex]
[tex]0.5 * 4 = 2[/tex]
[tex]2.25 * 8 = 18[/tex]
2. It can result in a decimal number
For instance;
[tex]0.2 * 3 = 0.6[/tex]
[tex]0.5 * 5 = 2.5[/tex]
[tex]2.25 * 7 = 15.75[/tex]
From (1) above, we understand that the product can result in an integer.
Hence, the statement is false
How would I do this??
Answers
Part 1
[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]
Answer: -4/11
====================================================
Part 2
Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.
[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]
This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.
Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]
Corinna has $80. She wants to buy a $256 plane ticket. She will save up her earnings from working at the museum where she earns $16 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $256?
Answers
Answer:
80+16h≥256
Step-by-step explanation:
the 80 represents the $80 that Corinna already has
the 16h represents the amount of money made at the museum, with h being the number of hours worked
the inequality symbol is a greater than or equal sign because Corinna must have at least $256 to get the plane ticket, which means you either have to have the exact amount amount or more than the exact amount needed
I forgot how to do this. I will give brainliest!
Answers
Answer:
A = 2, B = 3 and C = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = 2 ( subtract 2x from both sides )
3y = - 2x + 2 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = [tex]\frac{4}{3}[/tex]
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form
Multiply through by 3
3y = - 2x + 4 ( add 2x to both sides )
2x + 3y = 4 ← in standard form
with A = 2, B = 3 and C = 4
Find the endpoint/midpoint.Please hurry
Answers
Answer:
im not sure, but i have
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve two-step equations. -5/2 a + 5 = 25
Answers
Answer:
a = -8
Step-by-step explanation:
-5/2 a + 5 = 25
Subtract 5 from each side
-5/2 a + 5-5 = 25-5
-5/2 a = 20
Multiply each side by -2/5
-2/5 *-5/2 a = 20*-2/5
a = -8
Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12
Answers
The answer is option c.
the sides of this right triangle are 18 inches and 24 inches in length.
how long would the hypotenuse of this triangle be?
Answers
Answer:
30
Step-by-step explanation:
[tex]c^{2} = b^{2} + a^{2} \\[/tex] = formula
a = 24
b = 18
576+324 = 900
do [tex]\sqrt{900} \\[/tex]
= 30
©
Christine went shopping and bought each of her ten nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $164.94 on the
gifts. How many videos and how many CDs did she buy
Answers
Answer:
She bought 2 videos and 8 CDs.
N. Alicia has $192 in her checking
account. She writes checks for $32, $27
and $51. What is the balance of her
account now?
Answers
Answer:
Step-by-step explanation:
82 hope this helps