Answer:
p=12
Step-by-step explanation:
a=l×b
a=219.6
l=18.3
b=?
219.6=18.3×b
Divide both sides by 18.3
And therefore b=12 yards
) f) 1 + cot²a = cosec²a
Answer:
It is an identity, proved below.
Step-by-step explanation:
I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.
First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).
[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]
csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.
[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]
Another identity is:
[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]
Therefore:
[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]
Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.
[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]
Another identity:
[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]
Therefore:
[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]
Hence proved, this is proof by using identity helping to find the specific identity.
The fraction Three-tenths is the difference of Eight-tenths and which fraction?
Answer:
[tex]\frac{11}{10}[/tex]
Step-by-step explanation:
[tex]\frac{8}{10}[/tex] - [tex]\frac{x}{10}[/tex] = [tex]\frac{3}{10}[/tex]
so [tex]\frac{8}{10}[/tex] +[tex]\frac{3}{10}[/tex] =[tex]\frac{x}{10}[/tex]
since all the denominators are the same we simply add the numerators to find x
x would be 8 +3 = 11
so [tex]\frac{11}{10}[/tex] is the answer
Select the correct answer.
Which of the four "progressive amendments" gave women the right to vote?
A.
Sixteenth
B.
Seventeenth
C.
Eighteenth
D.
Nineteenth
How many gallons of gas can
you afford with $34.83 if a gallon of gas is $3.87 a gallon?
Answer:
You would be able to afford 9 gallons of gas.
Step-by-step explanation:
34.83 divided by 3.87 is 9. Have a nice day!
What is the answer?
To this question
Answer:
y = 3.2
Step-by-step explanation:
8/y = 10/4
10y = 32
y = 32 / 10
y = 3.2
There are 25 rows of 18 stckers on a sheet. How many stickers are there on a sheet. How many on 40 sheets?
Will give brainliest!
Answer:
- 1/4
Step-by-step explanation:
Where you see X, substitute with 1/3
Solve the power/exponent first:
6(1/3) = 2
That is ; - 4(1/4)^2
Solve the parenthesis:
(1/4)^2 = 1/16
-4(1/16)
= - 1/4
Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
g=6
Step-by-step explanation:
6.4×6-1.4×6=
38.4-8.4=30
its true if it is not the result is incorrect
Your brother is 15 your age. Your sister is 7 years older than your brother. Your sister is 11 years old. Write and solve an equation to find your age a.
Answer:
a = 19a = 15 + bStep-by-step explanation:
Given:
a = b + 15 (a = my age; b = my brother's age)s = b + 7 (a = my age; s = my sister's age)s = 11 (s = my sister's age)s = b + 7
=> 11 = b + 7
=> b = 4
a = 15 + b
=> a = 15 + 4
=> a = 19
Therefore, the equation is 'a = 15 + 4' and the answer is 'a = 19'.
Hoped this helped.
I apologize if this was incorrect or un-helpful.
So
z=y+7As z=11
[tex]\\ \rm\Rrightarrow y+7=11[/tex]
[tex]\\ \rm\Rrightarrow y=4[/tex]
My age=
x=y+15x=4+15=19yearsMakayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
F.7.5p > 50
G.50p≤7.50
H.7.5p < 50
J.p + 7.5 < 50
Answer g
Step-by-step explanation:
g
Answer:
don't know i tell true
Step-by-step explanation:
1- Which comparison is NOT true?
A
3.976 > 3.97
B
1.025 < 1.25
С
9.145 > 9.14
D
0.613 > 0.631
Answer:
D
Step-by-step explanation:
Process of Elimination:
A: 3.976 is greater than 3.97
B: 1.025 is lesser than 1.25
C: 9.145 is greater than 9.14
All of the options checked are true, leaving the answer only to be D.
A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?
B. In two or more complete sentences, justify your answer to A.
Answer:
Step-by-step explanation:
3(m-2)+2(m-2)
3m-6+2m-4
3m+2m-6-4
5m-6-4
5m-10
The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.
After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.
Pls answer these questions
Answer:
I believe the answers are
B) 1
D) $1,000
Step-by-step explanation:
What is the slope of the line that passes through the points (8, -4) and (6, 2)?
Write your answer in simplest form.
Answer:
-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-(-4))/(6-8)
m=(2+4)/-2
m=6/-2
m=-3
5. What are the solutions to the equation (x - 1)(x + 2) = -2?
I hope this helps. Comment if any doubt.
110 divided by 4 using area model.
The quotient of 110 divided by 4 is 27 with a remainder of 2.
To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.
Draw a rectangle to represent 110.
Divide the rectangle into four equal parts to represent dividing by 4.
Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.
Determine the quotient. Count the number of equal parts, which in this case is 27.
Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.
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Sara needs to buy juice for the picnic. She selects a case of 24 cans of juice that costs a total of $8.00. What is the cost per can?
Step-by-step explanation:
24 cans cost $8.
so, 1 can is 1/24 if the total, and that applies then also to the price.
so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33
Answer:
Cost per can = $0.33.
Step-by-step explanation:
8 / 24
= 1/3
= 0.333....
what is the greatest common factor for 228/252
Answer:
i got 47/88
Step-by-step explanation:
Divide each number by two
4x+2y=7 y=-2x+3.5 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answer: many solutions
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - 2 = -14
Which is equivalent to 243 Superscript two-fifths?
3
6
9
12
Answer:
The answer is 9 ( C on edge)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
C on edge
I took the test
Domain and Range of a linear function
Answer:
domain is the lenght of the road (in miles)
range is the number of days
Step-by-step explanation:
domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road
simplify 4 (5x+3)-4x
Answer:
16x + 12
Step-by-step explanation:
20x + 12 - 4x
20x - 4x = 16x
16x + 12
Answer: 15x + 12
Step-by-step explanation:
(4 x 5x). (4 x 3). (20x - 4x). 15x + 12 is your answer.
hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2
Hope you could get an idea from here.
Doubt clarification - use comment section.
The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true
The equation is given as:
[tex]\frac pq = \frac qr[/tex]
Cross multiply
[tex]pr = q^2[/tex]
Rewrite as:
[tex]q^2 = pr[/tex]
Also, we have:
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]
Substitute [tex]q^2 = pr[/tex]
[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]
Expand
[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]
Simplify
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]
Rewrite as:
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]
Substitute [tex]pr = q^2[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]
[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]
Divide q^6 by q^3
[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]
Rewrite the equation as:
[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]
Hence, the equation has been proved
Read more about equations at:
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easy one for you folks. show work.
who ate more?
Answer:
regan ate more than maggie
Calculate the amount of dextrose in 756 mL D10W
D10W has a concentration 10%
So
Dextrose amount=
[tex]\\ \sf\Rrightarrow 10\%\:of\:756[/tex]
[tex]\\ \sf\Rrightarrow 0.10(756)[/tex]
[tex]\\ \sf\Rrightarrow 75.6ml[/tex]
f(x)=8x^3+125 find the zeros
Answer:
x = -5/2, (5+5i√3)/4, (5-5i√3)/4
Find the inverse of f(x) = 1/2x + 3
What is the length of DE?
А. 8
В. 7
С. 6
D. 5
A class has $140 for tickets to a science museum. The teacher writes $140÷10=14. Alma says that tickets are $14 each. Mohamed says that $14 students are going on the trip. Who is correct?
Alma was definitely correct to say that the tickets are $14 each.
The total amount in dollars the class have for tickets to the science museum
is $140.
The teacher writes as follows:
140 ÷ 10 = 14Alma says the tickets are $14 each.
Mohammed says that 14 students are going for the trip
The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.
The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.
Therefore, Alma was definitely correct.
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