Answer:
21°
Step-by-step explanation:
Supplementary is defined as two angles whose sum is 180. These angles must therefore be on a straight line cut by a transversal and must be less than 180 by themselves.
If one angle is 159, then we can simply subtract it from 180 to get the other angle.
A more algebraic way is to set up the equation, 159 + x = 180. Subtract 159 from 180 to find x.
The Measure of supplementary angle is 21⁰.
What are supplementary angle?The pair of angles that always add up to 180 degrees are referred to as supplementary angles. The term "supplements of each other" refers to these two angles. The Latin words "Supplere" and "Plere" are the source of the word "supplementary." "Supplere" means "supply," while "Plere" means "fill." Thus, "something when supplied to complete a thing" is the definition of "supplementary."
Given an angle 159⁰
and according to supplementary angles property,
when sum of two angles is 180⁰ are supplementary
∠A + ∠B = 180⁰ (angles are supplementary)
Let the another angle be x
159 + x = 180
x = 180 - 159
x = 21⁰
Hence the supplementary angle is 21⁰.
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The dual bar chart shows the hair colour of boys and girls in a year group. What fraction of the red haired students are boys? Give your answer in its simplest form
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Total red haired students = 15+5 = 20
Boys = 15
Fraction:
=> [tex]\frac{15}{20}[/tex]
In simplest form:
=> [tex]\frac{3}{4}[/tex]
Solve -2/3x>8 or -2/3x<4
Answer:
u = -32
Step-by-step expla
Simplify
Answer:
(x | x< -12 or x> -6)
Step-by-step explanation:
-2/3x>8 ⇒ -2/3x*3/2>8*3/2 ⇒ -x> 12 ⇒ x< -12
-2/3x<4 ⇒ -2/3x*3/2<4*3/2 ⇒ -x< 6 ⇒ x> -6
(x | x< -12 or x> -6)
pls help for brainliest answer
Which polynomial is prime? A. x^4 + 3x^2 – x^2 – 3 B. x^4 – 3x^2 – x^2 + 3 C. 3x^2 + x – 6x – 2 D. 3x^2 + x – 6x + 3
Answer:
A and B
Step-by-step explanation:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime polynomialAs per above definition, A and B polynomials have coefficients 1 or 3, so are prime polynomials.
C and D polynomials have coefficient of 6 which can be further factored
A. x^4 + 3x^2 – x^2 – 3
yesB. x^4 – 3x^2 – x^2 + 3
yesC. 3x^2 + x – 6x – 2
noD. 3x^2 + x – 6x + 3
noPLEASE HELP ASAP 50 POINTS WILL MARK BRAINLY A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function: f(t) = −16t^2 + 44t + 12 Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
Answer:
Domain is 1.375 s to 3 s
Step-by-step explanation:
It is given that, A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t)= -16t²+44t+12
We have to find the domain of the graph of the function when the basketball falls from its maximum height to the ground. It is shown in the attached graph.
It is clear that, the domain of the graph is from 1.375 s to 3 s. Its maximum height is 42.25 feet.
please mark brainliest :)
Answer:
1,375
Step-by-step explanation:
Xv = -b/2a
Xv = -44/2*(-16)
Xv = 44/32
Xv = 1,375
Toby, Daoud and Elsa share a sum of money. Toby gets 1/6 of the money and Daoud gets 1/2 of the money. Elsa gets the rest of the money Toby gets £1.50 Work out how much money Daoud gets. Find the ratio amount of money Toby gets: amount of money Elsa gets Give your answer in the form a : b where a and are whole numbers
Answer:
Daoud's share of the money = £4.50Toby's Money : Elsa's Money=1:2Step-by-step explanation:
Let the total amount of the money = x
Toby gets 1/6 of the moneyToby gets £1.50Therefore:
[tex]\dfrac16x=1.50\\x=1.50 \times 6\\x=\£$ 9[/tex]
Daoud gets 1/2 of the money.
Therefore: Daoud's share of the money
[tex]=\dfrac12 \times \£$ 9 =\£$ 4.50[/tex]
Elsa's Share of the money = 9-(4.50+1.50)=£3
Therefore:
Amount of money Toby gets: Amount of money Elsa gets
= 1.50: 3
Divide both sides by 1.50
Toby's Money : Elsa's Money=1:2
Answer:
Step-by-step explanation:
A bank is offering a simple interest rate of 5% — that is, the bank will pay a fixed 5% of an initial investment as interest each year. By contrast, a stockbroker is offering a 4% interest rate compounded annually: 4% of the total value of the investment at the end of the year. If $1000 is invested in the bank and $1000 is invested with the stockbroker, after 4 years, what will be the total value of the two investments combined? Round to the nearest dollar.
100*9-2+12/2=
Just need the answer
Answer:
904
Step-by-step explanation:
According to PEMDAS, we must multiply 100 and 9 first, which gets us 900. Then divide 12 by 2, which gets us six. 900 - 2 + 6 = 898 + 6 = 904.
Answer:
904
Step-by-step explanation:
100 * 9 = 900 -2 =898 +12/2 →898+6= 904
12/2 = 6
Have a good day and stay safe!
Brainliest question please please help me please
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 20. Use the empirical rule to determine the followinWhat percentage of people has an IQ score greater than 120?
Answer:
Percentage of people with IQ greater than 120 is 84.134%
Step-by-step explanation:
First thing we do here is to calculate the
z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 120, mean = 100 while SD = standard deviation = 20
z-score = (120-100)/20 = 20/20 = 1
The probability we want to calculate is;
P(x > 120) or P(z >1)
we proceed to use the standard score table to get this;
From the standard score table ;
P(z >1) = 0.84134
which is in percentage = 84.134%
Which of the following is the equation of a line in slope intercept from a line with the slope of 2/3 and Y intercept at 0,-2
Answer:
y= 2/3x - 2
Step-by-step explanation:
b is were the line crosses the y intercept so its -2
and the slope is 2/3x
hope this helps:)
what is = to 95
if u do iwill give u brainliest
Answer:
19 x 5
Step-by-step explanation:
[tex]19 \times 5 = 95[/tex]
Ratio of three angles of a triangle is 1 : 2 : 3. Find the angles.
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°.
Please help me any one can help me please I need help please help me
Answer:
537.84
Step-by-step explanation:
First find the area of the box(covered with pizza): 30*30=900
Next, find the area of the circle: 24/2= radius; 12^2*3.13=452.16
Now we must find the area of the box that isn't covered in pizza.
To do this we can subtract the area of the box(covered in pizza) and the area of the pizza: 900-452.16
=537.84
Company A charges $17, plus $11 per day to rent a piece of equipment. Company B charges $33, plus $9 per day to rent the same piece of equipment. How many days must the piece of equipment be rented for Company B to be less expensive?
Answer: The answer is 8 days
Step-by-step explanation:
this is the last step you do
16/2 2/2
and 16/2
is 8
so the answer is 8
Hope this helps :)
The slope of the line is y-4= 1/2 (x-1)
Answer:
1/2
Step-by-step explanation:
in point slope form (y-h) = slope(x-k)
The equation in the slope-intercept form will be y = x/2 + 7/2. Then the slope of the equation is 1/2.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y - 4 = 1/2 (x - 1)
Convert the equation into a slope-intercept form. Then we have
y - 4 = 1/2 (x - 1)
y - 4 = x/2 - 1/2
y = x/2 - 1/2 + 4
y = x/2 + 7/2
The equation in the slope-intercept form will be y = x/2 + 7/2. Then the slope of the equation is 1/2.
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Help me please ASAP
Answer:
135°
Step-by-step explanation:
total = 360°
360° = 90° + 135° + x°
x° = 360° - (90° + 135°) = 360° - 225°
x° = 135°
What is the greatest common factor of 8m, 36m3, and 12?
A.4
B.8
C.4m
D.8m
Answer:
A
Step-by-step explanation:
The greatest common factor of 8m, 36m³, and 12 is 4.
4(2m), 4(9m³), and 4(3).
The HCF is the largest value that divides all three of them.
The greatest common factor of 8m, 36m³, and 12 is; 4.
How to find Greatest common factor?Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.
We could factorize the quantities in smallest relative factors possible (the level of factors over which all quantities can form themselves), and collect as many common factors as we could.
Factorize the given numbers and identify all common factors. To get the GCF(Greatest common factor) multiply all common factors;
The Common factors are: 2 and 2, their product is 2 x 2=4, then
4(2m) = 2 x 2 x2 x m
4(9m³) = 2 x 2 x3 x3 x m x m x m
4(3) = 2 x 2 x3
Hence, the greatest common factor is 4.
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PLEASE HELP ... how many students are in each van? And how many students are in each bus ?
Answer:
7 students in each van and 52 students in each bus.
Step-by-step explanation:
v = no of students in van, b = no of student in bus
High school A ⇒ 3v + 6b = 333 ---------- Equation (1)
High school B ⇒ 11v + 6b = 389 ------------ Equation (2)
Solve equation (1) & (2) simultaneously :
11v + 6b = 389
3v + 6b = 333
----------------------- MINUS
8v + 0 = 56
v = 56 / 8
v = 7
Put v = 7 into Equation (1) to get b:
3v + 6b = 333
3 (7) + 6b = 333
21 + 6b = 333
6b = 312
b = 312 / 6
b = 52
So there are 7 students in each van and 52 students in each bus.
Work out the volume of this prism.
Answer:
840
Step-by-step explanation:
Lets split the shape in 2 shapes which gives us 2 rectangular prisms
1st shape is the one stcking upward: 12*5*6=360
2nd shape: (we must subtract 5 from 15 because we used that for the other shape and hat wouldn't give us the correct answer) 10*8*6=480
480+360=
840
six times the sum of nine and a number
Answer:
Brainliest plzStep-by-step explanation:
let use x as 'a number'
6 [tex]*[/tex] (9+x)
or
6 * (x+9)
Six times the sum of nine and the number x is 54+6x.
Suppose the number is x.
So, the sum of nine and x =9+x
What is a number?A number is a mathematical object used to count, measure, and label.
Six times the sum of nine and a number means multiplication of 6 and the number 9+x.
Six times the sum of nine and the number x=6(9+x)
Six times the sum of nine and the number x =54+6x
Hence, Six times the sum of nine and the number x is 54+6x.
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Hear is a rectangle 7 cm 3 cm the squre has the same peremeter as the rectangle what is the side length of this squre ______7cm_______ l l l l 3 cm l _______________l
Answer:
5 cm
Step-by-step explanation:
The rectangle has a length (l) of 7 cm and a width (w) of 3 cm. Therefore, the perimeter of the rectangle is:
Perimeter of rectangle = 2(l + w) = 2(7 + 3) = 2(10) = 20 cm
Since the rectangle and the square has the same perimeter, Therefore, the perimeter of the square is:
Perimeter of square = 2(l + w). But the length and width of a square are the same (i.e l = w). Therefore:
Perimeter of square = 4l
20 = 4l
l = 20 / 4 = 5 cm
Each side of the square has a length of 5 cm
Which situation involves a change modeled by a positive number but an end result modeled by a negative number? A.Leo enters an elevator on the second floor and goes down four floors. B. A plane, flying at an altitude of 300 feet, descends 50 feet. C. Irene is scuba diving at –30 feet. She swims 10 feet toward the surface to watch a school of fish. D. April owes her brother $5. On Friday, she gets $10 for her allowance.
The positive number but a negative result would be :
C. Irene is scuba diving at –30 feet. She swims 10 feet toward the surface to watch a school of fish.
The positive value is she swam 10 feet up to the surface, but she is still below the surface, which would be a negative result.
The situation that would involve a change that is from a positive number but ended in a negative number is option C.
This option tells us that at the negative number she was 30 feet below the surface of the water, while at positive number she was 10 feet up the water surface.
What is a positive number?This is a number that is greater than 0.
What is a negative number?This is a number that is less than 0.
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What is the perimeter of triangle ABC. Coordinates A (4,-1) B (-1,4) C (0,-3)
Answer:
18.61
Step-by-step explanation:
Please help, On Saturday morning, Owen earned $21. By the end of the afternoon he had earned a total of $60. Enter an equation, using x as your variable, to determine whether Owen earned $39 or $37 on Saturday afternoon.
Answer:
$39 is the correct answer .
Step-by-step explanation:
Let the amount he earned on the afternoon be x then
Amount earned in morning + Amount earned in afternoon=total amount
[tex]\$ 21 +\ x\ =\ \$ 60 \\\ x=\$60 -\$ 21\\x=\$ 39[/tex]
Therefore $39 is the amount he earned on afternoon .
what is 9.45 rounded to the nearest whole number?
Answer:
[tex]\Huge \boxed{\mathrm{9}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
9.45
To round up to nearest whole number, we have to see the tenth place.
If the value of the tenth place is greater or equal to 5, then we round up the number to 10. If the value of the tenth place is less than 5, the we round up the number to 9.
The value of the tenth place is 4, which is less than 5, we will round up the number to 9.
[tex]\rule[225]{225}{2}[/tex]
9.45 rounded to the nearest whole number is 9.
Given that a decimal number 9.45 we need to round it to the nearest whole number,
To round a decimal number to the nearest whole number, you need to look at the digit immediately to the right of the decimal point.
In the case of 9.45, the digit to the right of the decimal point is 4. If this digit is less than 5, you simply remove all the digits after the decimal point and keep the whole number as it is.
However, if the digit to the right of the decimal point is 5 or greater, you increase the whole number by 1.
To round 9.45 to the nearest whole number, we examine the decimal part of the number, which is 0.45.
If the decimal part is less than 0.5, we round down to the nearest whole number. In this case, since 0.45 is less than 0.5, we round down.
Therefore, 9.45 rounded to the nearest whole number is 9.
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The length of one leg of a right triangle is 7 cm more than that of the other leg. The length of the hypotenuse is 3 cm more than double that of the shorter leg. Find the lengthzs of each of the three sides.
Answer:
The lengths are 5, 12, and 13.
Step-by-step explanation:
Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.
The Pythagorean Theorem may be used to find the lengths.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] a, b are the short and long lengths and c is the hypotenuse
→ [tex]x^{2} + (x+7)^{2} = (2x+3)^{2}[/tex]
→ [tex]x^{2} + x^{2} + 14x + 49 = 4x^{2} + 12x + 9[/tex]
→ [tex]2x^{2} + 14x + 49 = 4x^{2} + 12x + 9[/tex]
→ [tex]2x^{2} - 2x - 40 = 0[/tex]
→ [tex]x^{2} - x - 20 = 0[/tex]
→ [tex](x-5)(x+4) = 0[/tex]
→ [tex]x = 5[/tex] (The length cannot be negative)
The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.
Need help ASAP please and thank you
Answer:
Step-by-step explanation:
The only angle we are given directly inside that triangle is angle R, 87 degrees. We can use the fact that the exterior angle at T is 92, so the interior angle is 180 - 92 = 88. Now we can find angle S: 180 - 87 - 88 = 5. So angle S = 5 degrees. The Law of Sines can be used now to find the length of SR:
[tex]\frac{sin5}{950} =\frac{sin88}{x}[/tex]
Cross multiply to get
x sin5 = 950 sin88 and
[tex]x=\frac{950sin88}{sin5}[/tex] so
x = 10,893 km
x+3.8=5.73
what does x equal
Answer:
1.93
Step-by-step explanation:
5.71 - 3.8 = 1.93
Answer:
1.93
Step-by-step explanation:
Terry bought some gum and some candy. The number of packs of chewing gum was one more than the number of mints. The number of mints was three times the number of chocolate bars. If gum cost 6 cents a pack, mints cost 3 cents each, and chocolate bars cost 10 cents each, how many of each confection did he get for 80 cents?
Answer:
Hi!!
Step-by-step explanation:
7 = chewing gum
6 = mints
2 = chocolate
Answer:
number of packs of chewing gum is 7
number of mints is 6
number of chocolate bars is 2
Step-by-step explanation:
number of packs of chewing gum → x, cost 6¢
number of mints → y = x-1 =3z, cost 3¢
number of chocolate bars → z = y/3 = (x-1)/3, cost 10¢
put in equation 6x + 3y +10z = 80 plug in term of x
6x +3(x-1) +10((x-1)/3) =80 multiply each side by 3
18x +9(x-1) +10(x-1) =240 distribute
18x+9x-9+10x-10 =240 combine like terms
37x-19 = 240 add 19 in each side
37x =259
x = 7
plug into y = x-1 = 7-1 = 6 so y=6
and z = y/3 =6/3 =2 so z = 2