Answer:
The sum of the interior angles of any quadrilateral is 360°.
Answer:
360°Step-by-step explanation:
A quadrilateral is a polygon which has 4 vertices and 4 sides enclosing 4 angles and the sum of all the angles is 360°.
I'll give you an example with the square, it has 4 right angles, so the sum is 360 ° as in all quadrilaterals.
someone help me get outta summer school slope? And y intercept?
Explain how to write an algebraic expression that
represents the situation.
The strawberries were split evenly into four bags.
Answer:
x divided by 4
Step-by-step explanation:
4 bags
O O
O O
strawberries would go in each
so lets say like 24 strawberries
24 (x) / 4 = 6
so six strawberries a bag
hope this helps like put a picture in your head
a-3/7 devided by 3-a/21
The answer is pretty simple but I put it in a picture below
what is the measure of easy interior angle of a regular octagon?
The sum of the interior angle is 1080 and each angle measure is 135 degrees.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have an octagon
In an octagon the number of sides = 8
The sum of the angles in the octagon is given by:
= (n - 2)×180
n = 8
= (8 - 2)180
= 6×180
The sum of the interior angle = 1080
Each angle = 1080/8 = 135 degree
Thus, the sum of the interior angle is 1080 and each angle measure is 135 degrees.
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A single die is rolled. How many ways can you roll a number that is prime,
followed by a number less than 6? (Remember that 1 is not a prime number.)
Answer:
3 different ways
Step-by-step explanation:
2, 3, and 5 are all prime numbers under 6
what is the domain of the following function: y=x^-5 + (x-1)
Answer:
Step-by-step explanation:
inequalities i need help question is in picture
Answer:
19-73 19-73 is fine thanks 70-65-46 024 465 8554 48-57
find the gradient of the line joining the points (0,2) and (-2,-4)
Answer:
m = 3
Step-by-step explanation:
Gradient of a line is given by the formula
m= (y2-y1) /(x2-x1) which is change y divided by change in x
m = (-4-2)/(-2-0)
m = -6/-2
m = 3
Answer: the gradient is 3
Step-by-step explanation:
for a full explanation refer to the document and the ones written colorfully are the explanation. So, if you want just the workings they are the ones written in black.
and I drew an eye! Have a nice day!
The circle above with center O has a circumference of 36. What is the length of minor arc AC? A) 9 B) 12 C) 18 D) 36
Answer:
A) 9
Step-by-step explanation:
⇒ Circumference of a Circle = 2πr
[tex]36=2\pi r[/tex]
[tex]r=\frac{36}{2} \pi[/tex]
[tex]r=\frac{18}{\pi }[/tex]
Length of arc = rθ
θ = angle AC = [tex]90^o[/tex]
Convert [tex]90^o[/tex] to radian
= [tex]\frac{90\pi }{180}[/tex]
= [tex]\frac{\pi }{2}[/tex]
length of arc = 18/π x π/2
= 9
please help! [4 x 3⁵ - 9 x (-7)] + 3³ (-4² +2²) - 11 Give your answer in simplest form.
Answer:
Please see the question below.
Step-by-step explanation:
In the expression "[4 x 3⁵ - 9 x (-7)]" I'm unclear if the "x" is a multiplication sign, or the variable x. I'll assume it is the variable x in my answer.
4 x 3⁵ = 972x
- 9 x (-7) = 63x
3³ (-4² +2²) = 27 (20) = 540
-11 = -11
========
Putting it all together:
972x + 63x + 540 -11
1035x + 529
please help
PLEASE
Answer:
Step-by-step explanation:
4567890987654345678
can someone please help mee i need the right answers please(30 points and i will give brainliest!!!)
Step-by-step explanation:
Funtion-A:Given:
[tex]y = {x}^{2} - x - 6[/tex]
To find the x-intercepts set y to 0 and solve for x which is done below:
⇒x²-x-6=0⇒(x-3)(x+2)=0X=3 and -2Therefore x-intercepts:(3,0),(-2,0)
To figure out the y-intercept , substitute 0 for x and simplify
⇒y=0²-0-6⇒y=-6Hence, The y-intercept is (0,-6)
The vertex (0.5,-6.25)(skipped the steps as you've already figured it out)
Function-B:Likewise A:
X-intercepts:
⇒-x²+x+6=0⇒x²-x-6=0⇒x=3 and -2Therefore,x-intercepts:(3,0),(-2,0)
Y-intercept:
⇒y=-0²+0+6
⇒y=6
Therefore, y-intercept (0,6)
The vertex:(0.5,6.25)
Inspection of the Parabolas:The difference between the two parabolas is that The blue parabola is the result of reflection over x-axis of the red one.
Answer:
a.
The x-intercepts are 3 and -2
The y-intercept is -6
The vertex is (1/2 , -25/4)
b.
The two parabola are symmetric across the x-axis
Step-by-step explanation:
x² - x - 6
[tex]=x^{2}-2\times \frac{x}{2} +\frac{1}{4} -\frac{1}{4}-6[/tex]
[tex]=(x-\frac{1}{2} )^{2} -(\frac{1}{4}+6)[/tex]
[tex]=(x-\frac{1}{2} )^{2} -\frac{25}{4}[/tex]
The x-intercepts :
(x-1/2)² = 25/4
Then
x - 1/2 = 5/2 or x - 1/2 = -5/2
Then
x = 3 or x = -2
The y-intercepts :
We get the y-intercept by replacing x by 0 in the trinomial :
0² - 0 - 6 = -6
b.
we notice that :
-x² + x + 6 = -(x² - x - 6)
Then
-x² + x + 6
[tex]=-(x-\frac{1}{2} )^{2} +\frac{25}{4}[/tex]
The x-intercepts :
[tex]-(x-\frac{1}{2} )^{2} +\frac{25}{4}=0[/tex]
⇔ (x-1/2)² = 25/4
Then
x - 1/2 = 5/2 or x - 1/2 = -5/2
Then
x = 3 or x = -2
The y-intercepts :
We get the y-intercept by replacing x by 0 in the trinomial :
0² + 0 + 6 = 6
2
3
4
5
Which distance measures 7 units?
L
M
N
-8-7-6-5-4-3-2-1012
3
the distance between points L and M
the distance between points L and N
the distance between points M and N
the distance between points M and P
5 6 7 8
TIME REMAINING
56:41
Answer:
the distance between points M and P
Step-by-step explanation:
i did it
Jackson took 8 fewer pictures on Saturday than he did on Friday. If he took 11 pictures on Friday, how many pictures did he take on Saturday?
Friday =11
Saturday =?
But, we know that the pictures he took on Saturday are eight times fewer than those he took on Friday.
Saturday = 11-8
= 3
∴ He took 3 pictures on Saturday.
Hope this helps >3
Timothy has a savings account that he started five years ago to begin saving for college. The
savings account has an interest rate of 3% and has earned $225 in interest since he began the
account. How much money did Timothy start the account with when he originally opened the
savings account?
A. $1500.00
B. $33.75
C. $7500.00
D. $3375.00
of $18
Answer:
A. $1500.00
Step-by-step explanation:
Assuming this is a simple interest savings account.
Simple interest formula
I = Prt
where:
I = total interestP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
I = $225r = 3% = 0.03t = 5 yearsSubstitute the given values into the formula and solve for P:
⇒ I = Prt
⇒ 225 = P(0.03 ×5)
⇒ 225 = P(0.15)
⇒ P = 225 ÷ 0.15
⇒ P = 1500
Therefore, Timothy started the account with $1500.00.
A triangle has points monkeys, giraffes, lions. The distance between lions and monkeys is 11 feet and monkey and giraffes is 16 feet. The distance between lions and giraffes is the hypotenuse of x feet.
Which equations will find the distance between the lions and giraffes? Select all that apply.
11+16 = c
112+ 162 = c2
c2+ 162 = 112
121+ 256 = c2
Pythagoras' theorem is a basic relationship between the three sides of a right triangle in Euclidean geometry. The correct option is D.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
A triangle has points to monkeys, giraffes, and lions. The distance between lions and monkeys is 11 feet and between monkeys and giraffes is 16 feet. The distance between lions and giraffes is the hypotenuse of x feet. The equation that will find the distance between the lions and giraffes is,
c² = 11² + 16²
c² = 121 + 256
c² = 377
Hence, the correct option is D.
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Answer:
D on edge) 121+ 256...
Find the measure of the remote exterior angle. m∠x=(198−5n)°m∠y=(5n+37)°m∠z=(n+7)°
The value of the angle ∠x will be ∠x = 128°. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle is given below.
The sum of the two interior angle is equal to the third exterior angle.
m∠x = (198 − 5n)°
m∠y = (5n + 37)°
m∠z = (n + 7)°
We know that
∠x = ∠y + ∠z
198 - 5n = 5n + 37 + n + 7
11n = 154
n = 14
Then the value of the angle ∠x will be
∠x = 198 – 5 × 14
∠x = 128°
Then the correct option is C.
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5. In an arithmetic sequence, the fifth term is 44 and the ninth term is 80.(a) Find the common difference. (b) Find the first term. (c) Find the sum of the first 50 terms of the sequence.
Step-by-step explanation:
first you should do is that find the common difference which is 9
The driving distance between Manchester and London is 195 miles. Farid intends to travel from Manchester to London by coach. The coach will leave Manchester at 3.30pm.
Farid assumes that the coach will travel at an average speed of 50mph
A)Using his assumption, work out Faris's arrival time at London.
It actually turns out that the coach has a lower average speed.
B)Describe how this affects the arrival time
Answer:
7:24pm
Step-by-step explanation:
At 50 mph, it will take 195/50 = 3.9 hours to reach London
3.9 hours = 3 .9 * 60 = 3 hours and 54 minutes(54 = 0.9 * 60 )
3:30 + 3:34 ==> 7:24
(one way to do this is to add up the hours and minutes separately so we get 6:84) Since 84 minutes = 1 hour and 24 minutes, just add 1:24 to 6 to get 7:24
Another way to do this is to see that if the distance was 200 miles, then it would take exactly 4 hours (200/50) to reach at 7:30pm But it is short by 5 miles. At the speed of 50mph, the time taken to travel 5 miles = 60/50 * 5 = 6 minutes so deduct 6 minutes from 7:30pm to get 7:24pm
If the train is slower average speed, then the arrival time is delayed beyond 7:24pm
Shea and Chris drive to work.
Shea drives 30 miles in 1.25 hours.
Chris drives 62 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
Answer:
11.2 km/hr
Step-by-step explanation:
Shea's speed: 48km/1.25hr=38.4 km/hr
Chris's speed: 62km/1.25hr= 49.6 km/hr
Vav= 49.6-38.4= 11.2 km/hr
The davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. they want to extend the length and width the same amount to increase the total area of the patio by 160 ft2. which quadratic equation best models the situation? a = lw (15)(12) (x)(x) = (15)(12) 160 (15x)(12x) = (15)(12) 160 2(15 x) 2(12 x) = (15)(12) 160 (15 x)(12 x) = (15)(12) 160
Answer:
160
Step-Step Explaining:
So I Know This ⏩ ⏩
Solve: 7 x + 2 y = 16; -21 x-6 y = 24 Solve : 7 x + 2 y = 16 ; -21 x - 6 y = 24
Answer:
No solution
Step-by-step explanation:
Solving system of linear equations:7x + 2y = 16 ----------------(I)
-21x - 6y = 24 -----------------(II)
[tex]\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\[/tex]
[tex]\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}[/tex]
[tex]\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}[/tex]
So, the lines are parallel and has no solution
Find the product (-4/9) - (-3/8)
6.0000000001
Ans right
All of the details to the question are in the picture that is attached in this question, please helpp
Answer:
10
Step-by-step explanation:
The arc length of the semicircle is
a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.
So,
(42/180)(5a+10)=a+442(5a+10)=180(a+4) [multiply both sides by 180]210a+420=180a+720 [distributive property]30a+420=720 [subtract 180a from both sides]30a=300 [subtract 420 from both sides]a=10 [divide both sides by 30]The graph of a function f(x) is shown. What is the value of x where f(x) = -5? And f(0)?
Answer:
x = -3 when f(x) = -5
f(0) = 3
Step-by-step explanation:
When f(x) = -5, that means they have told you the y value. When y = -5, x = -3.
If the number is in the parentheses of the function, they are giving you the x value. When x = 0, y = 3
-40 represents the height of a subway 40 feet below ground level. 40 represents the height of a kite 40 feet above ground level what does the zero rpresent in this situation
Answer:
0 represents the ground level
Triangle BDC is isosceles.
Circle A is shown. Line segments A B, A C, and A D are radii. Lines connect each of the points on the circle to the other points to form a triangle. Sides C B and B D are congruent.
Which angle is congruent to ?
As per the question, the answer is ∠CAB is congruent to ∠BAD.
The isosceles triangle :An isosceles triangle named BDC is positioned within a circle. The segments of the circle they pass through are congruent because the faces of the triangles BC and BD are congruent, or identical.
Due to the triangle's faces BC and BD being identical and congruent
BC=BD
Additionally, the segments of the circle it goes across are congruent.
In the case of ΔBAC & ΔBAD
AC=AD= the radius of the circle
AB=BA
Thus, BAC is consistent with BAD according to SSS guidelines.
As a result, the central angles of the sections are also congruent; hence, BAD and CAB are congruent.
As a result, ∠BAD is equivalent to ∠BAC OR ∠CAB.
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Answer:
B on edge
Step-by-step explanation:
CAD
Solve for x
3x² - 5x + 6 = 10 - 4x
Answer: [tex]-1, \frac{4}{3}[/tex]
Step-by-step explanation:
[tex]3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}[/tex]
Answer:
x = -1
x = 4/3
Step-by-step explanation:
Hello!
First, let's convert the equation into Standard Form: [tex]ax^2 + bx + c = 0[/tex]
[tex]3x^2 - 5x + 6 = 10 - 4x[/tex][tex]3x^2 - x - 4 = 0[/tex]We can solve this by factoring the quadratic. We have to find two numbers that multiply to [tex]ac[/tex] but add up to [tex]b[/tex].
ac = -12b = -1The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.
Factor[tex]3x^2 - x - 4 = 0[/tex][tex]3x^2 +3x - 4x - 4 = 0[/tex][tex]3x(x + 1) - 4(x + 1) = 0[/tex][tex](3x - 4)(x + 1) = 0[/tex]Use the Zero Product Property. Set each factor to zero and solve for x.
3x - 4 = 03x = 4x = 4/3x + 1 = 0x = -1The solutions to the quadratic are -1 and 4/3.
Use the compound interest formulas A=P1+
r
nnt and A=Pert to solve the problem given. Round answers to the nearest cent.
Find the accumulated value of an investment of $25,000 for 3 years at an interest rate of 7% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously.
The accumulated value of an investment if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is $30731.4 $ , $30785.98 $30823.14 , 30841.95
What is Interest ?Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.
It is given that
Principal = $ 25000
Time = 3 years
Interest Rate = 7 %
The amount is given by
[tex]\rm A = P( 1+ \dfrac{r}{n}) ^{nt}[/tex]
Compounded semiannually
n = 2
Compounded Quarterly
n = 4
Compounded Monthly
n =12
Compounded Continuously
P = P₀ [tex]\rm e ^{rt}[/tex]
Therefore the accumulated value for
compounded Semiannually is
[tex]\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}[/tex]
A = $30731.4
Compounded Quarterly
[tex]\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}[/tex]
A = $30785.98
Compounded Monthly
[tex]\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}[/tex]
A = $30823.14
Compounded Continuously
[tex]\rm P = 25000 e ^{ 7 * 3 }[/tex]
P = $30841.95
Therefore the accumulated value of an investment if the money is
a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is
$30731.4 $ , $30785.98 $30823.14 , 30841.95
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A 11 gram sample of a substance that’s used to treat thyroid disorders has a k- value of 0.125
The substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an exponential function:
[tex]\rm N = N_oe^{-kt}[/tex]
Plug N = N⁰/2
[tex]\rm N_o/2 = N_oe^{-kt}[/tex]
[tex]\rm \dfrac{1}{2} = e^{-0.125t}[/tex]
Solving for t:
t = 5.54 ≈ 5.5 days
Thus, the substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
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