Answer:
<ABC = 90 DEGREE
Step-by-step explanation:
Given that ,
Height at which kite is flying = 60 m
Let's make AB = 60 m
Also , inclination of the string with the ground = 60 degree
Hence , <ACB = 60 degree
We have to find length of sting , i.e., AC
Here , AB is perpendicular to the ground
So , <ABC = 90 degree
HOPE THIS HELPS AND PLS MARK AS BRAINLIEST AND THNXX :)
What is the common difference for this arithmetic sequence?
Answer:
B. -6
Step-by-step explanation:
The common difference here is the difference between each term. Since it is an arithmetic sequence the difference between each term will be the same value.
So, from 45 (the 1st term) to 39 (the 2nd term), the difference is -6
From 39(the 2nd term) to 33, the difference is also -6.
Therefore, we know that the common difference fro this arithmetic sequence is -6.
Hope this helps and ask me any question if it does not :)
Answer:
-6.
Step-by-step explanation:
39 - 45 = -6
33 - 39 = -6
27 - 33 = -6
21 - 27 = -6.
a machine can stamp 75 caps per minute. At this rate how long will it take to stamp 3000?
Step-by-step explanation:
[tex]75- caps ----------- 1 minute\\3000 caps ------------x - minutes\\\\Cross-Multiply\\75x = 3000 \times 1\\75x = 3000\\\frac{75}{75} =\frac{3000}{75} \\\\x = 40 minutes[/tex]
John’s parents put $40 on his school account for lunch. Each day is a three dollars for lunch. Y represent the amount of money John has after x days in a school account.
Answer:
y = $40 - ($3/day)x
Step-by-step explanation:
y = $40 - ($3/day)x represents the amount of money John has left after x days.
Avery wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3.2% and the other bank is offering a rate of 3% compounded annually. If Avery decides to deposit $7,000 for 5 years, which bank would be the better deal? 1. a simple interest rate of 3.2% 2. a compound interest rate of 3%
Answer: a simple interest rate of 3.2% will be the better deal.
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 3/100= 0.03)
n= number of compounding periods in each year (1)
Replacing with the values given
A = 7000 (1+0.03/1)^(1x5)
A = 7000( 1.03)^5 = $8,114.92
For simple interest:
I = p x r x t
Where:
I = interest
Replacing with the values given:
I = 7000 x (3.2/100) x 5 = $1,120
Adding the principal amount: 7000+1120 = $8,120
Since 8,120 (simple) >8,114.92(compound)
a simple interest rate of 3.2% will be the better deal.
This holiday weekend, Dave is going to Chicago to shop and see a baseball game. To avoid traffic, Dave decides to take the train. There is a proportional relationship between the time (in minutes) Dave spends riding the train, x, and the distance he travels (in miles), y. x (minutes) y (miles) 8 8 10 10 13 13 14 14 What is the constant of proportionality? Write your answer as a whole number or decimal. miles per minute
Answer:
k= 1 mile per minute
Step-by-step explanation:
There is a proportional relationship between the time (in minutes) Dave spends riding the train, x, and the distance he travels (in miles), y.
The table representing this information is given below:
[tex]\left|\begin{array}{c|ccccc}$x (minutes) & 8 &10&13&14 \\$y (miles) & 8 &10&13&14 \end{array}\right|[/tex]
The equation of proportionality is given as: y=kx
When x=8, y=8
Substituting we have:
8=8k
Divide both sides by 8
k=1
Therefore, the constant of proportionality, k= 1 mile per minute
Evaluate the expression. Choose the best answer.
8! +6! .3!
OA) 44,640
OB) 42,640
OC) 40,320
OD) 41,046
Answer:
(8!+6!.3!)
=6!(8×7+6)
=720(56+6)
=720(62)
=720×62
=44640
If the measure of ∠1 is 50°, what is the measure of ∠8?
Answer:
∠8 is 400°
Step-by-step explanation
if ∠1 is 50° then you do 50 x 850 x 8 = 400
that means that the measure of ∠8 is 400°
Answer:
130 degrees I got it correct trust me
A pentagon’s five internal angles are consecutive numbers. What is the largest of the five angles?
Answer:
106,107,108,109,110
Step-by-step explanation:
The external angles of any regular shape add up to 360. Thus, each internal angle of a pentagon = 540. 540/5= 108
Then simply add and subtract one twice to get a number set of 106,107,108,109,110
If ΔPQR ≅ ΔJKL and ∠P = 35º, then which other angle also equals 35º. a ∠J b ∠K c ∠L d None of these choices are correct.
Answer:
A: Angle J
Step-by-step explanation
If the two triangles are congruent then their corresponding angles are also congruent. This means that angle P is congruent to angle J, angle Q is congruent to angle K and angle R is congruent to angle L. Hope this helps :D
PLEASE HELP!!!
For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard
deviation?
==================================================
Explanation:
The weird or fancy looking E symbol is the greek uppercase letter sigma. It is effectively the english version of S to represent summation. So we add up all the [tex](x-\overline{x})^2[/tex] terms to get this. Luckily this has already been done for us in the table where they wrote "sum = 34", so [tex]\sum(x-\overline{x})^2 = 34[/tex]
From here, we substitute this into the formula, along with n = 5 since there are 5 items in the original list
So,
[tex]s = \sqrt{\frac{1}{n-1}\sum(x-\overline{x})^2} \\\\s = \sqrt{\frac{1}{5-1}*34} \\\\s = \sqrt{\frac{1}{4}*34} \\\\s = \sqrt{0.25*34} \\\\s = \sqrt{8.5} \\\\s \approx 2.91547594742266 \\\\s \approx 2.9 \\\\[/tex]
This computes the sample standard deviation. To get the population standard deviation, you'd basically change the "n-1" to simply "n", and the rest of the formula is identical.
The value of 3\x^10, when x=-2,can be written in simplest form as a^3\b, where a= and b=
Answer:
³√x^10
When x = -2
³√-2^10 can be written as
8 ³√-2
where a = 8 and b = -2
Hope this helps
The number of patients treated at Dr. Frank's dentist office each day was recorded for eight days: 15, 4, 6, 12, 16, 20, 16, 3. Using the given data, find the mean for this sample.
Answer:
11.5
Step-by-step explanation:
the mean of a set of numbers is the sum divided by the number of terms
(15+4+6+12+16+20+16+3)/8
The required mean of the data for the sample of Dr. Frank's dentist office is 11.5.
Given that,
The number of patients treated at Dr. Frank's dentist's office each day was recorded for eight days: 15, 4, 6, 12, 16, 20, 16, 3. Using the given data, find the mean for this sample is to be determined.
The average of the values is the ratio of the total sum of values to the number of values.
Here,
The number of patients treated was recorded for eight days,
Sample space = 15, 4, 6, 12, 16, 20, 16, 3
n(s) = 8
Mean = (15 + 4 + 6 + 16 + 20 + 16 + 3) / 8
Mean = 92 / 8
Mean = 11.5
The required mean of the data for the sample of Dr. Frank's dentist office is 11.5.
Learn more about average here:
brainly.com/question/24057012
#SPJ2
Evaluate \dfrac p2-5
2
p
−5start fraction, p, divided by, 2, end fraction, minus, 5 when p=14p=14p, equals, 14.
Answer:
2
Step-by-step explanation:
We want to find the value of p/2 - 5 when p = 14.
Simply put 14 in the place of p and solve:
14/2 - 5
7 - 5 = 2
The value of 2.
Find the volume of the cylinder express your answers in terms of pi
Answer:
704 pi in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 8)^2 * 11
V = pi (704)
V = 704 pi in ^3
Answer:
[tex]704 \: \pi \: {inches}^{3} [/tex]Step-by-step explanation:
Solution,
Radius(R)= 8 in.
Height (h)= 11 in.
Volume of cylinder=?
Now,
Volume of cylinder:
[tex]\pi {r}^{2} h[/tex]
[tex]\pi \: {(8)}^{2} \times 11 [/tex]
[tex]\pi \times 64 \times 11[/tex]
[tex]704\pi \: {inches}^{3} [/tex]
Hope this helps...
Good luck on your assignment..
At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the gym costs $22. After how many months will the cost of both gyms be the same?
Answer:
6 months
Step-by-step explanation:
Gym1
12 + 20m
Gym2
22m
Set them equal
12 +20m = 22m
Subtract 20 m from each side
12 +20m-20m = 22m-20m
12 = 2m
Divide by 2
12/2 = 2m/2
6 =m
SOMEONE PLEASE HELP MEEE!!!! HOW DO YOU DO THIS
Answer:
A. 162 m²
Step-by-step explanation:
==>Given:
Isosceles trapezoid with:
base a = 19m
base b = 35m
Perimeter = 74meters
==>Required:
Area of trapezoid
==>Solution:
Recall: the length of the legs of an isosceles trapezoid are equal.
Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)
Let l = leg of trapezoid.
Perimeter = 74m
Sum of parallel sides = a+b = 19+35 = 54m
Thus,
74 = 54 + 2(l)
74 - 54 = 2(l)
20 = 2(l)
l = 20/2 = 10m
Let's find area:
Area = ½(a+b)*h
a = 19
b = 35
h = ?
Using Pythagorean theorem, let's find h as follows:
h² = l² - [(35-19)/2)²
h² = 10² - [16/2]²
h² = 100 - 64
h² = 36
h = √36 = 6m
Area = ½ x (a+b) × h
= ½ × (19+35) × 6
= ½ × 54 × 6
= 27 × 6
Area = 162m²
Find the gradient of the line segment between the points (-2,3) and (-5,6).
Answer:
-1Solution,
Let the points be A and B.
A(-2,3)---->(X1,y1)
B(-5,6)---->(x2,y2)
Now,
[tex] \frac{y2 - y1}{x2 - x1} \\ = \frac{6 - 3}{ - 5 - ( - 2)} \\ = \frac{3}{ - 5 + 2} \\ = \frac{3}{ - 3} \\ = - 1[/tex]
Hope this helps..
Good luck on your assignment..
A $4'$ by $2'$ rectangular flag is made of a $2'$ by $2'$ black square bordered by a $1'$ by $2'$ white rectangle on each of two opposite sides of the black square. A white symbol covers one-third of the area of the black square. What fraction of the total area of the front of the flag is white? Express your answer as a common fraction.
=========================================================
Work Shown:
A = area of black square
A = 2*2
A = 4
B = area of white symbol
B = (1/3)*A
B = (1/3)*4
B = 4/3
C = total area
C = 4*2
C = 8
Divide the values of B and C to find the fraction of the total area the white symbol covers up.
B/C = (4/3)/8
B/C = (4/3) / (8/1)
B/C = (4/3) divided by (8/1)
B/C = (4/3) times (1/8)
B/C = (4*1)/(3*8)
B/C = 4/24
B/C = 1/6
The rectangle below has an area of 15k^4 + 35k^3 + 20k^2. The width of the rectangle is equal to the greatest common monomial factor of 15k^4, 35k^3, and 20k^2. What is the length and width of the rectangle?
The greatest common factor is the biggest number that divides evenly into each one of the numbers without a remainder...the only thing that's different about our situation is that we have variables in addition to regular number (but the same logic applies...we need to find the biggest variable that goes into k^4 , k^3 , and k^2 ).
The biggest number that goes into 15, 35 and 20 is the number 5. The biggest variable that goes into k^4 , k^3 , and k^2 is k^2
Combining the number and the variable, we get that the greatest common monomial factor is 5k^2
Since area is length x width, and we just figured out that width is 5k2 , all we have to do to find length is divide 15k4+35k3+20k2 by 5k2 , and we get that the length is 3k^2+7k+4
So the width is 5k^2 and the length is 3k2+7k+4
:))
-Eli
Write the expression as a square of a binomial if possible: 19x^2+2/15xy+1/25y^2 Anyone who answers my question I will name brainliest. Thank You
Answer:
Formula: a² + 2ab + b² = (a + b)²
The square root of 1/9x² = 1/3x so a = 1/3x and b = 1/5y.
The answer is (1/3x + 1/5y)².
What is π/6? I don’t know. No calculators!
Answer:
You could approximate pi to be 3.14, and divide that by 6.
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
If π/6 is an angle in radians
So, Converting it into degrees will make :
=> π/6 * 180 => 30 degrees
I do not understand this/ help me answer these
Answer:
-6b -6c3w -122x -246 + 3r8y - 16xStep-by-step explanation:
write the monomial in standard form. name it's coefficient and identify its degree.
2/3m^2 n *4.5n^3
Answer:
[tex]Standard\ Form = {3n^2} m^{-2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]
Required
Write in Standard Form
To start with; the two monomials have to be multiplied together;
[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]
[tex]Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}[/tex]
Split the numerator and the denominator
[tex]Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}[/tex]
Multiply Like terms
[tex]Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}[/tex]
Divide 9 by 3 to give 3
[tex]Standard\ Form = \frac{3 * n^3}{m^2 * n}[/tex]
Divide n³ by n to n²
[tex]Standard\ Form = \frac{3 * n^2}{m^2 }[/tex]
Split fraction
[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex]
From laws of indices;
[tex]\frac{1}{a^n} = a^{-n}[/tex]
[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex] becomes
[tex]Standard\ Form = {3 * n^2} * m^{-2}[/tex]
Multiply all together
[tex]Standard\ Form = {3n^2} m^{-2}[/tex]
Help plzz thanxs.....
Answer:
Step-by-step explanation:
33
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
Answer:
Hey there!
We have sine xyz=6/15
sine xyz=0.4
arc sine 0.4=xyz
xyz=23.6
Hope this helps :)
Find the missing side length
Jane is using a ladder to paint under a window of her house. The straight line distance from the bottom of the window to the ground is 6ft. (leg a). The bottom of the ladder is 5 ft. From the house (leg b). How tall must the ladder be to reach the window. You are finding "c".
Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the wall. The straight line distance from the bottom of the window to the ground forms the opposite side. The distance from the bottom of the ladder to the house represents the adjacent side. To determine the required length of the wire, c, we would Pythagorean theorem which us expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
c² = 6² + 5² = 36 + 25 = 61
c = √61 = 7.81 ft
solve for z. 4z+12=28
Answer: z=4
Step-by-step explanation:
4z+12=28
-12 on both sides
28-12=16
4z=16
divide 4 on both sides
z=4
Answer:
z=4
Step-by-step explanation:
4z+12=28
Subtract 12 from each side
4z+12-12=28-12
4z = 16
Divide each side by 4
4z/4 = 16/4
z = 4
What is cos 45º?
See picture for more details
Answer:
C. 1/√2
Step-by-step explanation:
cos∅ is adjacent over hypotenuse:
cos45° = 1/√2
cos45° = √2/2
Alternatively, if you learned and memorized your unit circle, cos(π/2) = √2/2
Answer:
C.
Step-by-step explanation:
how do i find the value of x?
Answer:
the alphabet.
Step-by-step explanation:
Triangle ABC is rotated 45° about point X, resulting in triangle EFD. Triangle A B C is rotated 45 degrees about point X to form triangle E F D. The lengths of sides A C and D E are congruent, the lengths of sides A B and E F are congruent, and the lengths of sides D F and C B are congruent. If EF = 4.2 cm, DF = 3.6 cm, and DE = 4.5 cm, what is CB? 3.3 cm 3.6 cm 4.2 cm 4.5 cm
Answer:
CB = 3.6 cm
Step-by-step explanation:
Here, triangle ABC is rotated about point X which results in triangle EFD. Since triangle ABC is rotated it retains its shape and dimensions. This means that triangle ABC is parallel to triangle EFD ie, ABC≈EFD, also both dimensions will be congruent.
Thus
AB = EF
BC = FD
AC = ED
CB = DF
BA = FE
CA = DE
Since length of side DF = length of side CB, and DF = 3.6 cm. Therefore, CB = DF = 3.6 cm
Length of CB = 3.6 cm
Answer: B it's B
Step-by-step explanation: I got it right