Answer:
30⁰ , 60⁰ , 90⁰
Step-by-step explanation:
Let the angles x , 2x , 3x
By angle sum property:
x + 2x + 3x = 180⁰
6x = 180⁰
x = 30⁰
Angles are : 30⁰ , 60⁰ , 90⁰
Let one angle be x, the second 2x and the third 3x.
x + 2x + 3x = 180 degrees (angle sum property of a triangle)
6x = 180 degrees
x = 180/6
x = 30 degrees
So one angle is 30°, the second is 60°, and the third is 90°.
Solve and graph. Thank you so much.
Answer:
Step-by-step explanation:
-9 + b/4 >= -4
b/4 >= 5
b >= 20
the solution is d
Evaluate: 14/2 - 3 + 6/3
Answer:
Brainliest!!!
Step-by-step explanation:
see picture
Answer:
[tex]6[/tex]
[tex] \frac{14}{2?} - 3 + \frac{6}{3 ?} \\ 7 - 3 + \frac{6}{?3 } = 6 \\ 4 + \frac{6}{?3} = 6 \\ 4 + 2 = 6[/tex]
B is the midpoint of AC. Find AB, BC, and AC
Answer:
9, 9, 18
Step-by-step explanation:
3x=5x-65x-3x=62x=6x=3AB=3x=9
BC=AB=9
AC=2AB=18
B is mid point of AC
that means,
[tex]\frac{3x + 5x - 6 }{2} = b \\ \: \: \: \: \: \: \: \: \: \: \: \frac{8x - 6}{2}= b \\ \frac{2(4x - 3)}{2} = b \\ b = 4x - 3[/tex]
[tex]3x = 5x - 6 \\ 2x = - 6 \\ x = - 3[/tex]
[tex]ab = 3x = 3 \times - 3 = - 9 \\ ab = - 9[/tex]
[tex]bc = 5x - 6 = 5 \times - 3 (- 6) \\ \: \: \: \: \: = - 15 - 6 = - 21[/tex]
[tex]ac = 8x - 6 = 8 \times - 3( - 6) = - 24 - 6 = - 30[/tex]
[tex]hope \: it \: helped[/tex]
74.88 rounded to three significant figures?
Answer:
74.9
Step-by-step explanation:
Round to the tenths place.
Answer:
74.9
Step-by-step explanation:
When the question asks for something to be rounded to 3 significant figure,
then round in such a way that there are only 3 non-zero digits in the number.
Hope this helps.
Good Luck
In the diagram, which two angles are corresponding angles with angle 12?
Angle 8 and Angle 16
Angle 6 and Angle 10
Angle 9 and Angle 11
Angle 5 and Angle 15
Answer:
It's 8 the answer is 8
Step-by-step explanation:
∠8 and ∠16 are corresponding angles with ∠12
What is corresponding angles ?the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal
According to the question,
Given the diagram we have to find the angles which are corresponding angles with ∠12.
Those angles which are on the same side of traversal called corresponding angles.
By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16. These angles lie on same side of traversal line.
Hence, ∠8 and ∠16 are corresponding angles with ∠12
Option 1 is correct.
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I need a answer please
Answer:
You can not select three options, but only these two:
the graph has a domain of all real numbers
the graph has a range of y≥1
Step-by-step explanation:
See attachments.
IS ANYONE GOOD AT CALCULUS? PLEASE HELP!!! The rate at which a certain radioactive isotope decays is given by = negative 0.0032 y, where y is the amount of the isotope after t days. After approximately how many days would the amount of this isotope in a sample reach 75% of its original amount?
Answer:
90 days.
Step-by-step explanation:
dy/dt = - 0.0032y
dy = -0.0032y dt
dy/y = -0.0032 dt
Integrating:
ln y = -0.0032t + c where c is some constant
y = e^(-0032t) + e^c
y = A e^(-0032t) where A is a constant.
At time 0 we can let y = 1 so in that case A = 1
When there is 0.75 of y left:
0.75 = e^-0032t
ln 0,75 = -0032 t
t = ln 0.75 / -0032
t = 90.
Answer:
B. 90 days
Step-by-step explanation:
Edge 2022
evaluate -5+(-5r)+10
PLEASE HELP ILL MAKE BRAINLIEST
Which of the following is a monomial?
A.) 3/x
B.) 5x^2 + 2x + 3
C.) 4x
D.) sqre x-1
Answer:
4x is a monomial
Step-by-step explanation:
it has one type of term, in this case one with a variable
The length of a rectangular park is 20 feet longer than the width of the park.If the length of the park is 36 feet,what is the width of the park?
Answer: width = 16 ft.
Step-by-step explanation:
let width be w
Length is w + 20
Given
w + 20 = 36
w = 36 - 20
w = 16
Answer:
16 ft
Step-by-step explanation:
l= w+20
36= w+20
w= 36-20
w=16 ft
The hypotenuse, c, of right triangle ABC is 5.0 cm long. Give the trigonometry ratio cosA=0.50 for angle A, what is the area of the triangle to the nearest tenth of a cm?
Answer:
[tex]\frac{25\sqrt{3} }{8}[/tex]
Step-by-step explanation:
CosA = [tex]\frac{1}{2}[/tex] , so <A is 60º
Hypotenuse (c) is 5
Opposite is (b)
Adjascent is (a)
cos A = [tex]\frac{adjascent}{hypotenuse}[/tex] -----> [tex]\frac{1}{2} = \frac{a}{5}[/tex] ---------> a = [tex]\frac{5}{2}[/tex]
Pytagoras
[tex]5^{2} = (\frac{5}{2}) ^{2} + b^{2}\\ b^{2} = 25 - \frac{25}{4} \\b^{2} = \frac{75}{4} \\\\b = \frac{5\sqrt{3} }{2}[/tex]
A = b . a . 1/2
A = [tex]\frac{25\sqrt{3} }{8}[/tex]
CosA = , so <A is 60º
Hypotenuse (c) is 5
Opposite is (b)
Adjascent is (a)
cos A = -----> ---------> a =
Pytagoras
A = b . a . 1/2
A =
Step-by-step explanation:
I need help ASAP. Please right answers only
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, C and E
Step-by-step explanation:
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f(x) = 86(1.18)x. Rewrite the function to show how quickly the weeds grow each day. f(x) = 86(1.02)x; grows approximately at a rate of 0.2% daily f(x) = 86(1.18)7x; grows approximately at a rate of 1.8% daily f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily f(x) = 86(1.187)x; grows approximately at a rate of 0.18% daily
Answer:
A.f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily
Step-by-step explanation:
i did this question already
hope this helps
Answer:
it's C
Step-by-step explanation:
Which function has a negative discriminant value?
Answer:
i believe that the answer is a but if its not that then it must be d
Step-by-step explanation:
sorry if i'm wrong
Answer:
The guy above me is wrong. The answer is B
Step-by-step explanation:
edge
Solve The System Of Equations
Answer:
x=4, y=-7
Step-by-step explanation:
A) -8x - 3y = -11 .(-5) -----> A) 40x + 15y = 55
B) -7x - 5y = 7 . (3) ------> B) -21x -15y = 21
A) + B) ----> 19x = 76 --------> x = 4
-8 . 4 - 3y = -11
-32 - 3y = -11
32 + 3y = 11
3y = 11 - 32
3y = -21
y = -7
Which is true about the degree of the sum and difference of the polynomials
3x^5y - 2x^3y^4 - 7xy^3 and -8x^5y + 2x^3y^4 + xy^3 ?
Answers:
Both the sum and difference have a degree of 6
Both the sum and difference have a degree of 7
The sum has a degree of 6, but the difference has a degree of 7
The sum has a degree of 7, but the difference has a degree of 6
Answere is C
The sum has a degree of 6 but the difference haa a degree of 7
The true statement about the degree of the sum and difference of the polynomials 3x⁵y - 2x³y⁴-7xy³ and -8x⁵y +2x³y⁴ + xy³ is "the sum has a degree of 6, but the difference has a degree of 7."
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
There are two polynomials,
3x⁵y - 2x³y⁴-7xy³ and -8x⁵y +2x³y⁴ + xy³.
The sum of the polynomials,
= 3x⁵y - 2x³y⁴-7xy³ -8x⁵y +2x³y⁴ + xy³.
= 5x⁵y -6xy³.
And the degree is 6.
The difference of the polynomials,
= 3x⁵y - 2x³y⁴-7xy³ + 8x⁵y - 2x³y⁴ - xy³.
= 13x⁵y - 4x³y⁴-8xy³.
And the degree is 7.
Therefore, the sum has a degree of 6, but the difference has a degree of 7.
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∠A=8x−10 ∘
∠B=3x+90 ∘
PLEASE PLEASE HELP OR I WON'T PASS MY MATH CLASS AND I WILL HAVE TO TAKE ANOTHER YEAR OF MATH
Answer:
Step-by-step explanation:
if vertical angles (formed when two lines cross each other) or congruent angles (equal degree measure total)
8x-10=3x+90
5x=100
x=20
if complementary (together equal 90 degrees)
8x-10+3x+90=90
11x+80=90
11x=10
x=(10/11)
which in decimal form is about 0.90
if supplementary (together equal 180 degrees)
8x-10+3x+90=180
11x+80=180
11x=100
x=(100/11)
which in decimal form is about 9.09
Which expression is equivalent to (- 2c / d^2)^3
-8c^3/d^6 is equivalent to the expression
Answer:
-8c^3/d^6
You are correct!
find the derivatives of the following implicit function
Answer:
[tex]\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]
Step-by-step explanation:
[tex]3x^2-6xy+y^2=2x-y\\\mathrm{Treat\:}y\mathrm{\:as\:}y\left(x\right)\\\mathrm{Differentiate\:both\:sides\:of\:the\:equation\:with\:respect\:to\:}x\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=\frac{d}{dx}\left(2x-y\right)\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(2x-y\right)=2-\frac{d}{dx}\left(y\right)\\6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)=2-\frac{d}{dx}\left(y\right)[/tex]
[tex]\mathrm{For\:convenience,\:write\:}\frac{d}{dx}\left(y\right)\mathrm{\:as\:}y^{'\:}\\6x-6\left(y+xy^{'\:}\right)+2yy^{'\:}=2-y^{'\:}\\\mathrm{Isolate}\:y^{'\:}:\quad y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\\mathrm{Write}\:y^{'\:}\:\mathrm{as}\:\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]
Today you jogged 1/3 of a mile
before stopping to chat for a
moment with your friend. Then you
continued to jog another 1/3 of a mile
before stopping for a drink of water.
How far did you jog all together?
Use the number line to help you.
Type your answer in the blue box.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
x+5
Step-by-step explanation:
Side is equal to sqrt area
= sqrt x^2 +10x + 25
= x+5
So one side of the square is x+5 metres
Answer:
(x+5) meters long
Step-by-step explanation:
x^2 + 10x+25
We recognize that this is a perfect square trinomial
a^2 + 2ab+b^2 = (a+b)^2
x^2+2*5*x+5^2 = (x+5)^2
Since this is a square
A = s^2 where s is the side length
(x+5) ^2 =s^2
Each side is (x+5)
What are the foci of the hyperbola represented by the equation (x^2)/64 - (y^2)/32 =1
Answer:
x = √2y^2 + 64 or x = √2y^2 + 64
Step-by-step explanation:
Solve for x.
x^2/64 - y^2/32 = 1
Step 1: Add 1/32 y^2 to both sides.
1/64 x^2 + -1/32 y^2 + 1/32 y^2 = 1 + 1/32 y^2
Step 2: Divide both sides by 1/64.
1/64 x^2/ 1/64 = 1/32 y^2 + 1/ 1/64
x^2 = 2y^2 + 64
Step 3:
x = √2y^2 + 64 or x = √2y^2 + 64
Answer:
x = √2y^2 + 64
Step-by-step explanation:
= 1/64 x^2 + -1/32 y^2 + 1/32 y^2 = 1 + 1/32 y^2
= 1/64 x^2/ 1/64 = 1/32 y^2 + 1/ 1/64
= x^2 = 2y^2 + 64
= x = √2y^2 + 64
Hope this helps!
What is the value for f(x) = 32x+1 when x = 1/2
Answer:
9
Step-by-step explanation:
We can solve this by plugging x into the function:
3^(2(1/2) + 1)
=3^(1+1)
=3^2
= 9
Answer: The answer would be 9
Step-by-step explanation:
could i please get brainliest
Help I don't understand it.
Answer:
6/15 * 2/14 = 12/210
Step-by-step explanation:
This is compound probability. To calculate compound probability, you need to multiply the probabilities of each event happening together.
In this example, the events are selecting a pineapple cake, then a strawberry cake.
Let's find the probabilities!
There are 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. This means that he has 15 cakes in total.
Therefore, the probability of selecting a pineapple cake is 6/15.
Now, if we assume that he has selected a pineapple cake already, there are now 14 cakes.
Next, the probability of selecting a strawberry cake is now 2/14. This is because he already took a pineapple cake, and now he has to pick a strawberry cake out of the remaining 14 cakes.
Multiply these two probabilities to find the compound probability: 12/210 ( this could be further simplified, but that's how they give it to you! )
Hope this helps! Please feel free to contact me if you have any further questions :)
PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.
a. b=4
b. b=5
c. b=6
d. b=7
Answer:
a. b=4
Step-by-step explanation:
[tex]\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}[/tex]
From the attached triangle drawn below:
NL=20, LM=3b, [tex]\angle L=x^\circ[/tex]
[tex]\sec x =\dfrac{20}{3b}[/tex]
Since we are told that:
[tex]\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4[/tex]
The correct option is A.
Answer:
B= 4
Step-by-step explanation:
I got it right on the test
plz help me how would you solve 4x + 2y = 18, 3x - 5y =20 by elemination
Answer: x = 5, y = -1
Step-by-step explanation:
Equation 1: 4x + 2y = 18
Equation 2: 3x - 5y = 20
In order to eliminate one of the variables , find the LCM of either x or y.
I chose to eliminate y. The LCM of 2 & 5 is 10.
Multiply the entire equation so the coefficient of the variable equals the LCM.
Then add the equations and solve for the remaining variable.
5(4x + 2y = 18) --> 20x + 10y = 90
2(3x - 5y = 20) --> 6x - 10y = 40
26x = 130
÷26 ÷26
x = 5
Next, input x = 5 into either of the equations to solve for y.
Equation 1: 4x + 2y = 18
4(5) + 2y = 18
20 + 2y = 18
-20 -20
2y = -2
÷2 ÷2
y = -1
slope (-5,12)(-17,4)
So the right answer is 4/11
please see attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 4}{ - 5 - ( - 17)} \\ = \frac{8}{ - 5 + 17} \\ = \frac{8}{12} \\ = \frac{2}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
150 miles converted to kilometres?
Answer:
erm
Step-by-step explanation:
241.402
How is the graph of log (x – 2) + 1 translated from the graph of log x?
Answer:
See the two translations described below
Step-by-step explanation:
Start with the graph of y = log x. This graph passes through (1, 0) and exists only for x > 0. The line x = 0 is its vertical asymptote.
Translating this graph 2 units to the right results in h(x) = log (x - 2).
Translating the graph of h(x) = log (x - 2) upward by 1 unit results in the graph of log (x – 2) + 1.
URGENT: At what annual rate of simple interest must $12,000 be invested to earn $135 in interest each quarter? (I will give brainliest)
Answer:
4.5%
Step-by-step explanation:
Firstly we should understand that a quarter is every three months.
So if $135 is earned each quarter, then 4 * 135 = $540 is earned per annnum
We use the simple interest formula to get the rate.
Mathematically;
I = PRT/100
where P is the amount deposited = 12,000
R is what we are looking for which is the rate
T is the time which is 1 year
I is the interest which is 540
We can rewrite the simple interest formula to be:
100I = PRT
R = 100I/PT
Thus substituting the values we have;
R = (100 * 540)/(12,000 * 1) = 4.5%
Answer:
4.5%Step-by-step explanation:
Using the simple interest formula to tackle this question.
[tex]SI = \frac{PRT}{100}[/tex]
P = principal = $12,000
R = rate (in %) = ?
T = Time(in years) = 1/4 years
135 = [tex]\frac{12000*R}{100*4}[/tex]
[tex]135 = \frac{12000R}{400}\\ 54000 = 12000R\\R = \frac{54000}{12000}\\ R = 4.5\ %[/tex]
The annual rate of simple interest is 4.5%
