answer: g=32 u should simplify
A goat is tired to a pole at the center of a square of length of side 20m. If the rope is 10m long. Calculate the (I) area of the square that can't be grazed by the goat (ii) fraction of grazed portion to the whole area
Answer:
percentage = 78.54%
Step-by-step explanation:
The area of a square of side length x is:
[tex]A_s=x^2[/tex]
The area of a circle of radius r is:
[tex]A_c=\pi r^2[/tex]
The goat is tied to a pole at the center of a square of a side length of x=20 cm.
The area of the square is:
[tex]A_s=20^2[/tex]
[tex]A_s=400~m^2[/tex]
The rope is 10 m long. The goat is able to graze an area of:
[tex]A_c=\pi 10^2[/tex]
[tex]A_c=100\pi~m^2[/tex]
(i)
Since the diameter of the circle (20 m) is equal to the length of the square, the area of the circle is contained in the square and the area of the square not grazed by the goat is:
[tex]A = A_s-A_c=400~m^2-100\pi~m^2[/tex]
[tex]A=100(4-\pi)~m^2[/tex]
Calculating:
[tex]A = 85.84~m^2[/tex]
(ii)
The percentage can be calculated as:
[tex]\displaystyle \frac{A_c}{A_s}*100=\frac{100\pi}{400}*100=25\pi[/tex]
Calculating:
percentage = 78.54%
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Answer:
19,133.067Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
7x31=????????????????
Answer:
217
Step-by-step explanation:
7 × 31 = 217I hope this helps!
Point Slope Form: y+2=-7(x-4)
Slope-intercept form: ???
Will reward 100 points
Answer:
[tex] \blue{\boxed{\star \boxed{\bold{\large{7x + y = 26}}}\star}}[/tex]
Step-by-step explanation:
y + 2 = - 7 (x - 4)
y + 2 = - 7x + 28
y + 7x = 28 - 2
7x + y = 26
y = 26 - 7x ✔
answer in percent 20/80 = x/100
The formula for the volume of the sphere = 4(pi) 13. Which of the following is the closest approximation to the volume when r, the
radius, is 11 inches?
Answer:
5572.5 or 5573 inches
Step-by-step explanation:
First of all, the formula is 4/3(pi)r^3
So 4/3(3.14)11^3
So then 5572.5 or 5573 inches
2. Multiply the following:
a. 3.5(x)
Answer:
3.5x
Step-by-step explanation:
3.5(x)=3.5x
A student finds a positive correlation between the number of beds in a home and the number of plates in the kitchen.
Which variable is most likely the lurking variable that explains the correlation?
A: height of tallest person in the home
B: age of oldest person in the home
C: number of children in the home
D: number of pets in the home
im not doing great in math and i really need some help with this
Answer:
here you go this is for confirmation
Step-by-step explanation:
can someone help me pls
4.(03.01)
Is the following relation a function? (1 point)
A: Yes
B: No
Answer:
A
Step-by-step explanation:
X can only have 1 input buy Y can have many
Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 7 years. Assume that money is worth 6.2%, compounded quarterly. If $90,000 is invested in an annuity that earns 5.4%, compounded quarterly, what payments will it provide at the end of each quarter for the next 7 1/2 years?
Answer:
Step-by-step explanation:
From the first question:
We are to find PV of the annuity.
Using the formula:
Present value of Annuity = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)
Where , Annuity Amount = $4,000
n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF
r = 6.2% / 4 quarters = 1.55%,
PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }
= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }
= 1 + [ (1 - 0.66015 ) ] / 0.0155]
= 1 + 21.926
= 22.926
PVAF(28,1.55%) = 22.926
Thus , Present Value of Annuity = $4,000 × 22.926 = $91704.00
2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)
Present Value of Annuity = $90,000
n = No. of periods = 7.5 years × 4 quarters per year = 30 periods
r = 5.4% / 4 quarters = 1.35%,
PVAF(n,r) = [1-(1+r)^-n]/r
PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135
PVAF(30,1.35%) = (1 - 0.6688)/0.0135
PVAF(30,1.35%) = 0.3312/0.0135
PVAF(30,1.35%) = 24.53
Hence ;
$90,000 = Annuity Amount × 24.53
Annuity amount = $90,000/24.53 = $3,668.48
If 4/5 – 3/10 = x + 11/2, find the value of
X.
Answer:
x = 85/60 or 17/12
Step-by-step explanation:
4/5 - 3/10 = x + 11/12
=> 8/10 - 3/10 = x + 11/12
=> 5/10 = x - 11/12
=> x - 11/12 = 5/10
=> x = 5/10 + 11/12
=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5
=> x = 30 / 60 + 55/60
=> x= 85/60
If my answer helped, kindly mark me as the brainleist !!
Thank You!!
Answer:
maybe -5
Step-by-step explanation:
4/5-3/10=x+11/2
1/2-11/2=x
-10=2x
x=-5
What is the median 5,7,9,10,16,17,20
Answer:
10
Step-by-step explanation:
For an odd number of values, the median is the middle value when you write the values in ascending order.
5, 7, 9, 10, 16, 17, 20
The median is 10.
∠A and ∠B\angle B∠B are supplementary angles. If m∠A=(8x−27)∘\angle A=(8x-27)^{\circ}∠A=(8x−27)∘ and m∠B=(4x+3)∘\angle B=(4x+3)^{\circ}∠B=(4x+3)∘, then find the measure of ∠A\angle A∠A.
Answer:< B = 15°
Step-by-step explanation:
If m\angle A=(x+16)^{\circ}∠A=(x+16) and m\angle B=(3x-14)^{\circ}∠B=(3x−14), then find the measure of \angle A∠A.
Jordan's net income for the year ended December 31, Year 2 was $200,000.
Answer:
good for her / him but uh whats the question
How do you solve this: 2x(3-a)=a(2-b) to find b?
Answer:
b=-2(3x-xa-a)/a
Step-by-step explanation:
2x(3-a)=a(2-b)
6x-2xa=2a-ab
b=-2(3x-xa-a)/a
You can simplified to top because im a little lazy, sorry
A quadrilateral has no pairs of parallel sides, what two shapes could it be?
Answer:
Kite
Step-by-step explanation:
Def of kite has no parallel sides
Answer:
Kite and TrapeziumStep-by-step explanation:
Each of them do not have any parallel lines or sides
Compare. Select <, >, or=.
3.568 ? 3.577
Answer:
3.568 < 3.577
Step-by-step explanation:
3.568 < 3.577
So 3.577 is greater than 3.568
3(2e + 5) + 8(1 - e) = 1
ILL MARK BRAINLIST HELP !!!
Answer:
11 (positive)
Step-by-step explanation:
Answer:
e=11
Step-by-step explanation:
3(2e+5)+8(1-e)=1
6e+15+8-8e=1
-2e+23=1
-2e=-22
e=11
If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct the equation for g(x)
Answer:
The maximum value of the table t(x) has a greater maximum value that the graph g(x)
Step-by-step explanation:
Hope this helps :P
Give two reasons why it's impossible to draw triangle PQR m angle Q=103^ m angle R=47^ p = 44 q = 12 , and f = 31
Answer:
It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.
Reason 1: The hypotenuse is invalid, because 44^2 does not equal 12^2 + 31^2.
Reason 2: The angles measures do not correlate properly to their assigned letter sides (at least to me). Additionally, 30 degrees just doesn't make any sense from a logical standpoint.
Change 10/25 to a decimal
Answer:
0.4
Step-by-step explanation:
→ Convert fraction to a denominator of 100
10 / 25 ⇔ 40 / 100
Answer:
0.4
Step-by-step explanation:
An easy way to do this is to get the fraction over 100
So, multiply the fraction by 4 (because 25*4=100)
then you get 40/100 which is 0.4 in decimal form
can someone help me with this
Answer:
31°
Step-by-step explanation:
If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°
Help!!!! I don't get this!!!!!!
Answer:
C
Step-by-step explanation:
One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16, the amount of ounces in one pound.
Sam bought a video game console for $150. He later sold the video game console for 13/12 of price he originally paid. Which statement about the price sam sold the video game consol for is true?
Answer:
1/45
Step-by-step explanation:
It’s math can you help with number 3 please?
Answer:
25
Step-by-step explanation:
16+9
Answer:
The correct should be 25.
Step-by-step explanation:
If this is incorrect let me know and I will correct it.
How much does a 6-ounce apple weigh in grams?
I'll give brainiest
Answer:
169
Step-by-step explanation:
Find the y-intercept of the folowing equation. Simplify your answer
19x + 8y=7
Answer:
y-intercept occurs when x = 0
19x + 8y=7
19*0 + 8y = 7
y -intercept = (0, 7/8)
Step-by-step explanation:
plesase solve this
Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures. (10 points)
pencil, paper, ruler
Draw:-[tex]\begin{align*}\triangle ABC\end{align*}.[/tex] Label the vertices.
[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{AB}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{BC}\end{align*}. \begin{align*}X\end{align*} and \begin{align*}Y\end{align*}[/tex] can be anywhere on these sides.
Is [tex]\begin{align*}\triangle XBY \sim \triangle ABC\end{align*}? Why or why not? Measure \begin{align*}AX, XB, BY,\end{align*} and \begin{align*}YC\end{align*}. Then set up the ratios \begin{align*}\frac{AX}{XB}\end{align*} and \begin{align*}\frac{YC}{YB}\end{align*}.[/tex] Are they equal?Draw:-
a second triangle,[tex] \begin{align*}\triangle DEF\end{align*}.[/tex] Label the vertices
Draw:-
[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{DE}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{EF}\end{align*} AND \begin{align*}\overline{XY} \ || \ \overline{DF}\end{align*}.
Is \begin{align*}\triangle XEY \sim \triangle DEF\end{align*}? Why or why not? Measure \begin{align*}DX, XE, EY,\end{align*} and \begin{align*}YF\end{align*}. Then set up the ratios \begin{align*}\frac{DX}{XE}\end{align*} and \begin{align*}\frac{FY}{YE}\end{align*}.[/tex] Are they equal?
From this investigation, it is clear that if the line segments are parallel, then [tex]\begin{align*}\overline{XY}\end{align*}[/tex] divides the sides proportionally.Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t∗t∗ for the given sample size and confidence level. Round critical t values to 3 decimal places.Sample size, n Confidence level Degree of Freedom Critical value, t∗t∗5 90 13 95 22 98 15 99
Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.
Each sample has a different degree of freedom and critical value.
To determine critical value:
1) Calculate degree of freedom: df = n - 1
2) Subtract the level per 100%;
3) Divide the result by 2 tails;
4) Use calculator or table to find the critical value t*;
For n = 5 Level = 90%:
df = 4
t = [tex]\frac{1-0.9}{2}[/tex] = 0.05
Using t-table:
t* = 2.132
n = 13 Level = 95%:
df = 12
t = [tex]\frac{1-0.95}{2}[/tex] = 0.025
Then:
t* = 2.160
n = 22 Level = 98%
df = 21
t = [tex]\frac{1-0.98}{2}[/tex] = 0.01
t* = 2.819
n = 15 Level = 99%
df = 14
t = [tex]\frac{1-0.99}{2}[/tex] = 0.005
t* = 2.977
The critical values and degree of freedom are:
sample size level df critical value
5 90% 4 2.132
13 95% 12 2.160
22 98% 21 2.819
15 99% 14 2.977