Step-by-step explanation:
The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.
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please help! see question below :)
Answer:
I have no clue sorry bro.
Plot each angle on the unit circle below. You will need to draw additional radius segments
○ 0, 30, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330
Determine the radian measure for each angle
Determine the Sin, Cos, Tan for each angle
Use 0 as an example
Upload your completed circle in the dropbox provided.
Solution :
Trigonometric angles :
The trigonometric angles are defined as the angles that are obtained by the ratios of trigonometric functions. It shows the relationship between the sides of the triangle and the angles between them. These values of the trigonometric angles ranges from 0 to 36 degrees.
Below attached shown are the angles on a unit circle which shows the angles for each value of sin, cos and tan, and also the radian measure for each of the angles.
PLS how to do this 3 sums
Answer:
Step-by-step explanation:
7) PQ // RS, RQ is transversal
x = 38 {Alternate interior angles are congruent}
In ΔPQR ,
x + y + ∠P = 180 {Angle sum property of triangle}
38 + 90 + y = 180
128 + y = 180
y = 180 - 128
y = 52
9) Construct XY // AB
XY // AB & AC is transversal
∠1 = ∠4 ---------(I) {alternate interior angles are equal}
XY // AB & BC is transversal
∠3 = ∠5 ---------(II) {alternate interior angles are equal}
∠1 + ∠2 + ∠3 = 180 {straight line angles}
∠4 + ∠2 + ∠5 = 180 {From (I) & (II) }
Sum of three angles of triangle is 180.Hence proved.
If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan is paid off at the end of the fifth year? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answer:
Step-by-step explanation:
So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.
Year 1 total: $2136.33
Year 2 total:$2173.29
Year 3 total:$2210.89
Year 4 total:$2249.14
Year 5 total:$2288.05
Total Paid After 5 years:$11057.70
Year 1 total interest:$36.33
Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91
Total Interest paid after 5 years:$188.05
(cos2a-cos2b)² + (sin2a+sin2b)²=4sin²(a+b)
Answer:
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]
\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}
1+cosθ=2cos
2
2
θ
= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos
2
2
(A−B)
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
=RHSRHS
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
kindly would like help please :,)
Answer:
B. 57
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.
y + y = 114
2y = 114
y = 57
Can you answer this math homework? Please!
Answer:
1. (2.2, -1.35) and (2.2, -1.4)
2. y = 8x - 7
3. infinite number of solutions
4. (2.2,-1.4) (2.2,-1.35)
5. 6
6. (1.33,1)
Step-by-step explanation:
Use the work shown below to find the simplified product
Given:
The expression is:
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
To find:
The simple product.
Solution:
We have,
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
It can be written as:
[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]
Cancel out the common factors.
[tex]=\dfrac{5\times x}{x+3}[/tex]
[tex]=\dfrac{5x}{x+3}[/tex]
Therefore, the correct option is C.
Express the following as two odd primes
A)44
B)36
C)24
D)18
Help me I cannot understand
Answer:
1) 44
a) 7 + 37
b) 3 + 41
c) 13 + 31
2) 36
a) 5 + 31
b) 7 + 29
c) 17 + 19
3) 24
a) 5 + 19
b) 7 + 17
c) 11 + 13
4) 18
a) 5 + 13
b) 7 + 11
Expressing the numbers as sum of two odd primes we have,
44 = 41+3 = 37+7 = 31+1336 = 31+5 = 29+7 = 23+13 = 19+1724 = 19+5 = 17+7 = 13+1118 = 13+5 = 11+7What is Prime Number?Prime numbers are numbers which are only divisible by 1 and itself.
Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...
What is Odd number?Odd numbers are numbers which are not divisible by 2.
Odd numbers are give by: 1,3,5,7,9,11,.....
2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.
So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....
Expressing the give numbers as the sum of odd prime numbers we get,
A) 44
41+3 = 44
37+7 = 44
31+13 = 44
B) 36
31+5 = 36
29+7 = 36
23+13 = 36
19+17 = 36
C) 24
19+5 = 24
17+7 = 24
13+11 = 24
D) 18
13+5 = 18
11+7 = 18
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Kara Danvers (Supergirl) has always relied on her strength to win fights. But what happens when she meets an alien just as strong? Her sister is training her to be a more technical fighter so that Supergirl can meet any challenge. The data below record the significant strikes during randomly selected training sessions 6 months apart. Is Kara showing improvement in her fighting?
Strikes (pre): 29 32 44 34 19
Strikes (post): 51 45 68 92 64
Write the Hypotheses:
H_0:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
H_a:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
Answer:
H0 : The mean difference in strikes between pre and post strike is equal to 0
H1 : The mean difference in strikes between pre and post strike is not equal to 0
Step-by-step explanation:
The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.
For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x
Answer:
k = 9
Step-by-step explanation:
Given
[tex]1= x^2 - 6x[/tex]
Required
The perfect number
The coefficient c of x in the above equation is:
[tex]c = -6[/tex]
Divide by 2
[tex]c/2 = -3[/tex]
Square both sides
[tex](c/2)^2 = 9[/tex]
Hence, the constant to add is:
[tex]k = 9[/tex]
Did I do this right?
Answer:
it must be yes!
Step-by-step explanation:
Solve the following word problems:
Answer:
His loss is 90
He sold it 1710
Step-by-step explanation:
1) 1800x5/100= 90
2) 1800-90=1710
Answer:
Step-by-step explanation:
CP = ₹1800
Loss = 5%
[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]
= ₹ 1710
Loss = CP - SP
= 1800 - 1710
= ₹ 90
Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV
Answer:
12
Step-by-step explanation:
because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12
The required value of the PV is 12 in triangle DEF where p is the incenter.
Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.
The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.
Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.
PW = PV
PV = 12
Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.
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What is the area of the triangle? A) 6 squared inches B) 7 1/2 square inches. C) 10 square inches. D) 12 square inches
Answer:
A) 6 square inches.
Step-by-step explanation:
A(Triangle) = 1/2bh
b = base length
h = height length
A(Triangle) = 1/2(4)(3) = 6
Therefore, the area of the triangle is 6 in².
help plsssssssssssssssssss
Answer:
The equation is:
y=5x-2
Answer:
write -3+6^x
Step-by-step explanation:
ur answer is true actually just don't write 'y='
Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Its on a number line :)
Answer:
Step-by-step explanation:
Hope this Helps ;)
Helen determined she walks about 1,800 steps per 5 of a mile. How many steps did she take if she walked 5 miles?
Answer: Most likely 6,750 steps
What is the answer I need help ASAP be truthful
Answer:
your closest number should be A
Answer:
A.√99
Step-by-step explanation:
10^2 = 100
Or vise versa √100 = 10
The closest number to 100 is 99
So √99 is closest to 10
(1 x 10 ^ -3) ÷ (5 x 10 ^ 2) in standard form Plz ANSWER QUICK
Answer:
2 × 10⁻⁶
Step-by-step explanation:
( 1 × 10⁻³ ) ÷ ( 5 × 10² )
→ Rewrite into normal form
0.001 ÷ 500
→ Simplify
2 × 10⁻⁶
Answer:
[tex]\frac{1}{500,000}=2*10^{-6}[/tex]
Step-by-step explanation:
[tex]\frac{1*10^{-3} }{5*10^{2} } =\frac{1}{5} *10^{-3-2}=\frac{1}{5} *10^{-5} = 500,000^{-1}= \frac{1}{500,000} = 2*10^{-6}[/tex]
We have:
[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]
In this case: [tex]\frac{10^{-3} }{10^{2} } = 10^{(-3)-2} =10^{-5} =\frac{1}{100,000}[/tex]
I just need the answer to this, you don't need to show your work :)
Answer: [tex]g(x) = -\frac{4}{x+5}+4[/tex]
===========================================================
Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]
THIS HURTS MY HEAD SO I CANT FOCUS, PLEASE HELP!
find the missing part of the pattern:
69388966938896?988963
Answer:
6
Step-by-step explanation:
There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden?
What is the area of the garden?
Answer:
15 feet width of actual garden
360 feet^2 is area
Step-by-step explanation:
Scale in drawing:
width : length
5 : 8
Actual Meausrements:
x: 24
Actual Width = 5:8
x : 24
8x = 24 x 5
8x = 120
120/8 = 15
Area of garden= lxw
15 x 24
= 360 feet^2
Answer from Gauthmath
Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?
(show your work)
Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
f(x) = 275
1. Find the inverse of f(x) and its domain.
Answer:
y = 1/(x+1) -5
X cannot be -1 because the denominator would go to zero
Step-by-step explanation:
f(x) = 1/(x+5) -1
y = 1/(x+5) -1
Exchange x and y and solve for y
x = 1/(y+5) -1
x+1 = 1/(y+5)
Multiply by (y+5)
(x+1) (y+5) = 1
Divide by (x+1)
y+5 = 1/(x+1)
Subtract 5
y = 1/(x+1) -5
X cannot be -1 because the denominator would go to zero
I NEED HELP ASAP
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or
negative correlation, describe its meaning in the situation.
Strawberries Picked
100
90
80
70
60
Quarts Picked
so
40
30
20
10
7 8 9
10
Time (hours)
Answer:
This is a negative correlation
Step-by-step explanation:
The graph tells us that as time passes on, less strawberries/Quarts are picked.
Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
Answer:
12.5%
Step-by-step explanation
ok so
20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%
Need help!
8 ÷ 2 (2 + 2) =
Answer:
= 16
Step-by-step explanation:
= 8 \div 2 . 4
= 16
Answer:
[tex]8\div \:2\left(2+2\right)[/tex]
[tex]=8\div \:2\cdot \:4[/tex]
[tex]=16[/tex]
OAmalOHopeO
You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50
represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.
(Choose 2)
Answer:
Options (1) and (4)
Step-by-step explanation:
Given equation for the deposit in the saving account is,
y = 20x + 50
Here, y = Amount of money in the account
20 = money added in the account every month
50 = Initial deposit
By comparing this equation with the slope-intercept form of the equation of a line,
y = mx + b
Here, slope m = money added in the account every month
And b = y-intercept
Therefore, Options (1) and (4) will be the answer.
Which of the following pairs of functions are inverses of each other?
OPTION C is the correct answer.