Answer:
Correct answers:
A. An angle that measures [tex]\frac{\pi}{6}[/tex] radians also measures [tex]30^o[/tex]
C. An angle that measures [tex]180^o[/tex] also measures [tex]\pi[/tex] radians
Step-by-step explanation:
Recall the formula to transform radians to degrees and vice-versa:
[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians[/tex]
Therefore we can investigate each of the statements, and find that when we have a [tex]\frac{\pi}{6}[/tex] radians angle, then its degree formula becomes:
[tex]\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o[/tex]
also when an angle measures [tex]180^o[/tex] , its radian measure is:
[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi[/tex]
The other relationships are not true as per the conversion formulas
Answer:
the person abive is correct jzt to confirm
pleaseee help me w dis!!! marking brainiest!!!
Answer:
x = -8 x=1
Step-by-step explanation:
x^2 +7x = 8
Subtract 8 from each side
x^2 +7x -8 =0
Factor
What 2 numbers multiply to -8 and add to 7
8*-1 = -8
8+-1 = 7
(x+8)(x-1) =0
Using the zero product property
x+8 =0 x-1 =0
x = -8 x=1
solve for x. 7(x-3)+3(4-x)=-8
Answer:
x=1/4
Step-by-step explanation:
1.distribute the 7 and 3 into parentheses
2. combine like terms
3. add 9 on both sides
4. divide both sides by 4
x=1/4
hope this helped!
Answer:
x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
7(x-3)+3(4-x)= -8
Expand 7(x-3) and 3(4-x)
i.e. 7x-21+12-3x= -8
4x-9=-8
Collect like terms
4x= -8+9
4x= 1
x = [tex]\frac{1}{4}[/tex]
Hope this helps!!!
What is the value of b in the equation b + 8 = 13? a 5 b 8 c 13 d 21
Answer:
a
Step-by-step explanation:
b+8=13.
first,you have to make b the subject of the formula (stand alone) and for that to happen +8 will have to cross the equality sign.when a positive sign crosses over the equality sign it changes to a negative sign.
so that would be b=13-8
Therefore,b=5(a)
Find the value of x in the isosceles triangle shown below
Thank you!
Combine the like terms to create am equivalent expression y-(-3y)
Answer:
[tex]=4y[/tex]
Step-by-step explanation:
[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]
Answer:
[tex] = 4y[/tex]
Step-by-step explanation:
[tex]y - ( - 3y)[/tex]
we know that,
[tex]( - ) \times ( - ) = ( + )[/tex]
so,
[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs. (b) How many packs of butter does Deon need to buy?
Answer:
200g of sugar, 600g of flour, 400g of butter
Step-by-step explanation:
50g sugar = 15 biscuits
3 x 50g = flour --) 150g = flour
2 x 50g = butter --) 100g = butter
60/15 = 4; 4 times as much
4 x 50g = 200g of sugar
4 x 150g = 600g of flour
4 x 100g = 400g of butter
What is the image of the point (-5, 2) under the translation T3,-4?
Answer: (5,7)
Step-by-step explanation:
We want to find the image of a point after a given translation.
The image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)
First, we can define how a general translation T(a, b) affects a general point (x, y).
It will add a units to the x-value and b units to the y-value, then we have:
T(a,b)[(x, y)] = (x + a, y + b).
Now we just need to apply the translation:
T(3, -4) to the point (-5, 2)
It gives:
T(3, -4)[(-5, 2)] = (-5 + 3, 2 + (-4)) = (-2, -2)
So the image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)
If you want to learn more, you can read:
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13. Jane buys a set of 17 spiral notebooks. Each notebook has 95 pages. What is total number of pages?
Multiply number of notebooks by number of pages in each one.
17 x 95 = 1615
The answer is 1,615 total pages
Answer:
A. 1615
Step-by-step explanation:
Solve as shown:
17 books that each have 95 pages equals the total pages.
17(95)=?
17(95)=1615
A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width around the current field. How wide of a strip should he cultivate around the edge of his field to do this? The strip around the outside is _ feet wide
Answer:
(a) The strip should be 5ft wide
(b) The strip around the outside field is 10ft wide.
Step-by-step explanation:
Given:
Length of the rectangular field, L= 200 ft
width of the rectangular field, w = 100 ft
Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2
let the width of the strip = x
The strip around the outside field = 2x
If the field is increased by 15.5%
New area of the field = 1.155 x 20000 = 23,100 ft^2
The increase in area of the field = 3,100 ft
3,100 = New area of field - old area of the field
3100 = (200 + 2x)(100 + 2x) - 20000
3100 = 20000 + 400x 200x + 4x^2 - 20000
3100 = 600x + 4x^2
Divide through by 4
775 = 150x + x^2
x^2 + 150x - 775 = 0
Factorize
(x + 155)(x-5) = 0
x = 5 ft
The strip should be 5ft wide.
The strip around the outside field = 2 x 5 ft = 10 ft
Thus, the strip around the outside field is 10ft wide.
f(n) = 65 - 4n; 29
determine which term produces the given number?
Answer:
9 th term
Step-by-step explanation:
Equate 65 - 4n to 29 and solve for n , that is
65 - 4n = 29 ( subtract 65 from both sides )
- 4n = - 36 ( divide both sides by - 4 )
n = 9
help..................
Answer:
D
Step-by-step explanation:
Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
y = 9x
Step-by-step explanation:
The y intercept is zero since it goes through the point (0,0)
We need to find the slope
m = (y2-y1)/(x2-x1)
= (9-0)/(1-0)
= 9/1
Putting this into slope intercept form y = mx+b
y = 9x +0
y = 9x
Which data set could be represented by the box plot shown below?
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 1 to 6. The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12. The right whisker extends from 16 to 19. All values estimated.
Answer:
Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Step-by-step explanation:
Interpreting Box Plots
A box plot is used to present the 5-Number summary of a set of data.
The 5-Number summary consists of the following in their order of appearance on the box plot.
Minimum ValueFirst Quartile, [tex]Q_1[/tex]Median, [tex]Q_2[/tex]Third Quartile, [tex]Q_3[/tex]Maximum ValueIn the box plot, the following rules applies
The whisker starts from the minimum value and ends at the first quartile.The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median. The end whisker starts at the third quartile and ends at the maximum value.Using these, we interpret the given box plot
A left whisker extends from 1 to 6.
Minimum Value=1First Quartile =6The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.
Median=12Thrid Quartile=16The right whisker extends from 16 to 19.
Maximum Value =19Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Calcula: t15 + t25 Si se sabe que: 26; 31; 36; 41; …
Answer:
242
Step-by-step explanation:
Here, we want to calculate t15 + t25
Mathematically, nth term is
a + (n-1)d
here, a = 26 and d = 31-26 = 5
t15 = 26 + (15-1)5
t15 = 26 + 70
t15 = 96
t25 = 26 + (25-1)5
t25 = 26 + 120
t25 = 146
t15 + t25 = 96 + 146 = 242
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
960cm^2
Step-by-step explanation:
surface area = sum of area of one sides
front + back = 336cm^2
side x 2 = 336cm^2
base + top = 288cm^2
sum = 960cm^2
Mark Brainiest, please
Varuns monthly income is 18000 he spends 1/5 of his income for house rent and 3/5 of his income on other expenditure how much does he save every month
Answer:
$3600
Step-by-step explanation:
Given:
Total income T = $18,000
Fraction of income spent on house rent f1 = 1/5
Fraction of income spent on other expenditures f2 = 3/5
Fraction of income saved is;
f = 1 - (1/5+3/5) = 1 - 4/5
f = 1/5
The Amount he save is A;
A = fraction saved × total amount = f × T
Substituting the values
A = 1/5 × $18,000
A = $3,600
The Amount he save is $3,600
Answer: Varun saves 3,600 every month
Step-by-step explanation: Varun's income in the first instance is fixed at 18000, and out of this amount he spends 1/5 on house rent. We shall now determine the amount represented by 1/5 as follows;
Total income = 18000
House rent = 1/5
Rent expense = 1/5 of 18000
Rent expense = 1/5 * 18000
Rent expense = 3600
he also spends 3/5 on other expenditure
Other expenditure = 3/5 of 18000
Other expenditure = 3/5 * 18000
Other expenditure = (3 * 18000)/5
Other expenditure = 54000/5
Other expenditure = 10800
His expenses therefore have been derived as
Total expenditure = 3600 + 10800
Total expenditure = 14400
His savings per month therefore is derived as;
Total income - total expenditure = savings
18000 - 14400 = savings
3600 = savings
Therefore, Varun saves 3,600 every month
CAn someone please help
no. of squares=90
no. of toothpicks=(89*3)+4
=271
rule of patern = 4+3+3...
no. of toothpicks=1000
no. of squares= (996÷3)+1
= 333
If you are asked to graph y = 3x + 1, or y = x2 - x - 6, or y = x3 - 3, do you think it is a good idea to start by plugging in zeros? That is, to let x = 0 and then let y = 0? Why or why not?
Answer:
I think you should start with a table and then write all your points for x then in the next column your answers for y.
Then take your medium and start drawing.
I suggest your x's should start from 0 and increase by 1 or 2
Then when you reach a certain point then go back to 0 and start doing your negatives.
For example if y = 2x
x | y
0|0
1 | 2
2| 4
3|6
4|8
....
then
16|32
0|0
-1|-2
-2|-4
Thanks for this question. I am working my way up to brainliest answer and Master Answerer. This answer took a lot of time to type so I hope I get good review.
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Step-by-step explanation:
i need to solve this wink wink 5-6+8*674/2
Answer: 2,695
Step-by-step explanation:
5-6+8*674/2
Multiply 8 and 674
5-6+5,392/2
Divide 5,392 by 2
5-6 + 2,696
Subtract 6 from 5
-1 + 2,696
Add
2,695
Step-by-step explanation:
5 - 6 = -1
-1 + 8 = 7
7 x 674 = 4,718
4,718 / 2 = 2,359
A hummingbird’s nest is 6 meters high in a tree. A flower is on the ground 14 meters away from the base of the tree. How far will the hummingbird need to fly to get from its nest to the flower if it takes a direct path?
Answer:
15.23 m
Step-by-step explanation:
The problem given describes the shape of a right angled triangle.
From the diagram below:
The height of the tree is the opposite = 6 m
The distance of the flower from the base of the tree = adjacent = 14 m
The distance the bird must fly to get from the nest to the flower = hypotenuse = h
According to Pythagoras rule:
[tex]hyp^2 = opp^2 + adj^2[/tex]
Therefore:
[tex]h^2 = 6^2 + 14^2\\\\h^2 = 36 + 196\\\\h^2 = 232\\\\h = \sqrt{232} \\\\h = 15.23 m[/tex]
The bird will have to fly 15.23 m to get from its nest to the flower in a direct path.
HELP! Which of the following are interior angles in the figure below? PLEASEEE!!!!! URGENT dont need to explain
Dream Studio offers 5 music lessons for $60. Fox Studio offers 8 music lessons for $72. What is the cost per lesson at each studio? What studio offers a better deal? Why?
1. When simplified, 17a - 14b - 20a - 2b is equal to
Answer:
- 3a -16b
Step-by-step explanation:
What is 0.00245 in standard form
Answer:
2.45*10^-3
Step-by-step explanation:
The number 0.00245 expressed in standard form is; 2.45 × 10-³.
While expressing numbers in standard form;
We must ensure that only one significant digit appears before the decimal point.
As such; we have 2.45 × 10-³.The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.
Read more:
https://brainly.com/question/11288844
a cookie recipe calls for 10 cups of milk. Magdahas already put in 7.3 cups. How many more cups does she need to put in?
What are the domain and range of f(x) = |x + 6|?
Answer:
The domain is (-∞,∞)
The range is [0,∞)
Step-by-step explanation:
The graph will be a V shape facing upwards with a vertex of (-6,0)
Answer:
Domain = (-∞,∞)
Range = [0,∞)
Step-by-step explanation:
Last year, there were “x” students in the Math Club, but this year, there was a 40% increase in membership. Represent this year’s membership in terms of “x”.
Answer:
(x)1.4=Y
Step-by-step explanation:
40% increase of memeber so ita 140% of X
What’s the answer ??
Answer:
-5^x-3x-6
Step-by-step explanation:
(-5^x - 4 + g(x) ) (x)
(-5^x - 4 - 3x -2) simplified -5^x-3x-6
Answer:
-5^x -3x -6 = A[tex]f(x) = - {5}^{x} - 4 \\ g(x) = - 3x - 2 \\ (f + g)(x) = \\ ( - {5}^{x} - 4) + ( - 3x - 2)[/tex]
[tex]( - {5}^{x} - 4) + ( - 3x - 2) \\ - {5}^{x} - 4 - 3x - 2 \\ collect \: like \: terms \: \\ - {5}^{x} - 3x - 4 - 2 \\ [/tex]
[tex] - {5}^{x} - 3x - 6[/tex]
what is the slope of the equation y= 5/4c- 7/4
Answer:
5/4 is the slope
Step-by-step explanation:
y= 5/4c- 7/4
This is in the slope intercept form
y = mx+b where m is the slope and b is the y intercept
5/4 is the slope and -7/4 is the y intercept
Answer:
5/4
Step-by-step explanation:
This equation is in slope intercept form (y=mx=b) so when interpreting the information we see that the slope is 5/4.
y = y
m = slope
x = x or in this case they use c
b = y intercept
This equation represents a line that intercepts at -7/4 and has a slope of 5/4. This can be checked by plugging in any point on the line for x and y.
Hope this helps!
Please help with these questions :(
In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.
17^2-8^2 = 289 - 64 = 225 = 15^2.
Therefore, the answer to first question is yes
Then, for question 2, you do the same thing.
41^2 - 40^2 = 51
Here, 51 is not a square number. Most importantly it is not the square of9,
So this triangle is not right angled