Step-by-step explanation:
a parallelogram has 2 pairs of equation sides (as a rectangle, just not necessarily with the 90° angles).
so, when one side is 16 cm, then there is a second side with 16cm.
the perimeter is the sum of all 4 sides (the 2 pairs of sides) : 48 cm.
and we know the length of one of these pairs : 2×16 = 32 cm.
what is left for the second pair of sides ?
48 - 32 = 16 cm
so, these 16 cm is the sum of a pair of equally long sides. that means their are
16/2 = 8 cm
long each.
so, the length of the "remaining" side is 8 cm.
What is the solution to the
equation log, (2x - 3) = -1?
Round to the nearest thousandth.
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: log(2x - 3) = - 1[/tex]
[tex]\qquad \sf \dashrightarrow \:2x - 3 = {10}^{ - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 0.1 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 3.1 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 1.55[/tex]
Agustin says that he can hold his breath for 90 seconds. And, he says that he did this 5 times this week. He used fractions and multiplication to calculate how many minutes he held his breath this week.
Answer:
7.5 minutes
Step-by-step explanation:
90 seconds is equivalent to 1.5 minutes
1.5×5=7.5
Sectionalism:Question 10
What was the main reason that most northerners were opposed to the
new Fugitive Slave Act created by the Compromise of 1850?
Answer:
They felt it gave the commissioners too much power and was unfair to slaves by giving them a trail without injury
Suppose a city with population 500,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 24 years
Answer
The population of the city in 24 years will
be approximately 2,024,467.3206337208
What is the population in 24 years?
The formula for calculating future value:
Population:- 2,024,466
Write an equation for the hyperbola that satisfies the given set of conditions.
Vertices (20,0) and (-20,0) conjugate axis of length 18 units.
The vertices of the hyperbola are the x-intercepts of the hyperbola
The equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]
How to determine the equation of the hyperbola?The equation of a hyperbola is represented as:
[tex]\frac{(y - k)^2}{a^2} -\frac{(x - h)^2}{b^2} = 1[/tex]
The vertices are (20,0) and (-20,0).
So, the center of the hyperbola is:
(h,k) = (0,0).
Also, we have:
a = 20
This gives
[tex]\frac{(y - 0)^2}{a^2} -\frac{(x - 0)^2}{b^2} = 1[/tex]
Evaluate
[tex]\frac{y^2}{a^2} -\frac{x^2}{b^2} = 1[/tex]
Substitute 20 for a
[tex]\frac{y^2}{20^2} -\frac{x^2}{b^2} = 1[/tex]
[tex]\frac{y^2}{400} -\frac{x^2}{b^2} = 1[/tex]
The length of the conjugate axis is:
l = 18 units
So, we have:
[tex]b = \frac{18}2 = 9[/tex]
The equation becomes:
[tex]\frac{y^2}{400} -\frac{x^2}{9^2} = 1[/tex]
[tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]
Hence, the equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]
Read more about hyperbola at:
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What is the perimeter of the pentagon?
Answer:
86 cm
Step-by-step explanation:
parameter of the Pentagon
= the parameter of the square + the parameter of the
triangle
= 48 + 38
= 86
Three boys, Adam, Kyle, and Ty, and two girls, Anne and Kate, have volunteered to help plan the school dance. One student will be randomly selected to plan and host the event, while another will be randomly selected to manage all the scheduled activities. The remaining volunteers will help decorate the gym for the dance. What is the probability that a girl will host the event and Anne will manage the event?
Answer:
2:4
Step-by-step explanation: Subtract 1 from total amount then find the number of girls I think sorry
WILL PICK BRAINLIEST AND GIVE LOT OF POINTS!
The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.
Determine the exact volume of solid S.
Also bounds are from 0 to 1.
Solve using integration.
Step-by-step explanation:
is this what you were looking for?
2 is multiplied by the difference of a number and 4.
Answer:
x=3
Step-by-step explanation:
4(x-2)=4. divide both sides by 4
x-2=1. add 2 to both sides
x=3
Answer:
2(x-4)
Step-by-step explanation:
* means multiplied by
2 is multiplied by the difference of a number and 4
multiplied by separates
2 AND "by the difference of a number and 4"
"by the difference of a number and 4" is in a parenthesis
"a number" means x
"the difference" means minus or -
2 is multiplied by the difference of a number and 4 =
2 * (x-4) =
2(x-4)
If 0 is an angle in quadrant II, what is the value of cos0?
in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus
[tex]tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]
[tex]c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill[/tex]
Translate the phrase into an algebraic expression.
The difference of c and 3
Answer: c-3
Step-by-step explanation:
it is wanting you to take c minus 3
Choose the amount of money that is equal to 1 dollar 1 nickel.
25 nickels
21 nickels
22 nickels
23 nickels
HELLPPPP!!
So that is how it goes hope this helps
Answer: I think the answer is 25 nickels? Im sorry if I get it wrong
Step-by-step explanation:
write an expresstion that is equivalent to 1/3x+3/4+2/3x-1/4-2/3x
Answer:
1/3x+1/2
Step-by-step explanation:
The decimal value of 5/8
0.625
Explanation:
We know that 0.125 is equal to 1/8, so you can then multiply 0.125 by 5.
Dividing 5/8, It's Equal To 0.625
Step-by-step explanation:
5/8 = O.625
this question is too hard
Answer:
27 children
Step-by-step explanation:
For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.
39 / 13 = 3
There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.
3 * 9 = 27
Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)
Choose the correct simplification of the expression f4 • f8. f2 f4 f12 f32
Answer:
f^12
Step-by-step explanation:
f^4 * f^8
We that a^b * a^c = a^(b+c)
f^(4+8)
f^12
Hello!
We have the following expression:
[tex]\bf{f^4*f^8}[/tex]
Recall the Properties of Exponents:
[tex]\bold{a^ma^n=a^{m+n}}[/tex]
According to the property, if we have the same bases multiplied together, then we just add their exponents:
[tex]\bf{f^4f^8=f^{4+8}}[/tex]
Simplify:
[tex]\bf{f^{12}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
[tex]\rule{2}{2}[/tex]Knowledge is Power!
A small class has 9 students, 3 of whom are girls and 6 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the first student chosen will be a boy and the second will be a girl? Write your ansuer as a fraction in simplest form.
PLEASE ACTUALLY HELP AND NOT JUST ANSWER CUZ YOU WANT POINTS! Can you please write the inequalities in algebraic form. EX: the sum of 92 and Z is less than 100 90+Z < 100
1. 24 less than Z is less than 12
2. the difference when you subtract 12.65 from A is less than or equal to 26,000
3. 999 less than Z is less than 500
4. the product of -10 and X is 25 or more
5. f minus -1 is less than 0
6. Y over 14 is 0.5 or more
Answer:
1. Z-24 < 12
2. A-12.65 ≤ 26,000
3. Z-999 < 500
4. -10x ≥ 25
5. f - -1 < 0 or f+1 < 0
6. y/14 ≥ 0.5
PLEASE HELP ASAP
10. Mike and Pete together have $84.00. If Mike has $24.00,
what is the ratio of Pete's amount to Mike's amount?
Answer:
2.5
Step-by-step explanation:
Let M and P stand for the money that Mike(M) and Pete(P) have.
We discover that M + P = $84.00
We also find that M = $24.00
This means that :
M + P = $84.00
$24.00 + P = $84.00
P = $60.00
The ratio of P to M is ($60.00/$24.00) or 2.5 (P/M - 2.5)
Help pls urgent :) plssss
Answer:
Fraction form: 1/8
Decimal form: 0.125
Step-by-step explanation:
Slope of line = [-6 - (-8)]/[8 - ( -8)]
= [-6 + 8]/[8 + 8]
= 2/16
= 1/8
= 0.125
Ayan has $48 andis saving $10 per week and Gemma has $300 and is spending $8 per week. When will they both have the same amount of money?
Answer:
14 weeks
Step-by-step explanation:
First, write as an equation with x the number of weeks Ayan and Gemma's money:
-> Ayan's money: 48+10x because every week he wins 10 more dollars
-> Gemma's money 300-8x
Finally just solve the equation for x where ayan's money = gemma's money so :
48+10x=300-8x
add 8x on both side: 48+18x=300
substract 48 on both side to isolate x : 18x =252
devide by 18 on both side : x=14
Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (1 point) a (−3, −5), because the point does not lie on any axis b (−3, −5), because the point satisfies both equations c (−4, −8), because the point satisfies one of the equations d (−4, −8), because the point lies between the two axes
The solution to the system of equations is (-3, -5) because the point satisfies both equations
What is a linear function?A linear function is in the form:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept
Line A:
y = x − 2 (1)
Line B:
y = 3x + 4 (2)
Solving both equations simultaneously gives:
x = -3, y = -5
The solution to the system of equations is (-3, -5) because the point satisfies both equations
Find out more on linear function at: https://brainly.com/question/4025726
19
The diagram shows a quadrilateral JKLM.
7 cm
K
J
4.5 cm
M
15 cm
L
Work out the size of angle KLM.
Give your answer correct to 3 significant figures.
Answer:
Step-by-step explanation:
Please help me this is due in 20 mins
Answer:
35cm
120cm^2
Step-by-step explanation:
Answer:
1. The perimeter of figure a is 36 cm.
2. The area of figure a is 60 cm².
3. The perimeter of figure b is 14.25 in.
4. The area of figure b is 7.031 in².
If it's wrong tell me
2 times some number plus 5 equals 9
Answer:
x=2
Step-by-step explanation:
2(x)+5 =9
2(2)+5=9
Answer: The number is 2
Creating an Equation:
The underlined portion of the sentence becomes a part of our mathematical equation in the next line.
2 times some number plus 5 equals 9
2 times n plus 5 equals 9
2n plus 5 equals 9
2n + 5 equals 9
2n + 5 = 9
Solving our Equation:
I will take the equation we created, and isolate variable n to solve.
2n + 5 = 9
2n + 5 - 5 = 9 - 5
2n = 4
(2n ) / 2 = (4) / 2
n = 2
683+1738x175220=
Chose you answer:
304533043. 194739421. 345802178. 643221. 24753
I need help please give correct answer
Marcelle and Amia each buy two “Treat Dispenser” shirts from Ava’s website for $22 each. They live in South Dakota, where the sales tax is 6.4%. Marcelle calculates his total bill by finding the sales tax for each individual shirt, multiplying by 2, and then adding it to the retail price of both shirts. Amia calculates her bill by adding up the total cost of both shirts, finding the sales tax of the sum, and then adding it to the retail price of both shirts. Whose method is correct, and what was the total bill for each of their orders?
Answer: Amia is correct
Step-by-step explanation:
the total bill would be $46.82
A circular clock has a circumference of 27 inches. Find the approximate diameter of the clock. Use 3.14 for π . Round to the nearest hundredth if necessary.
Answer:
8.60 inches
Step-by-step explanation:
The equation for circumference is 2πr. So we can solve for r (radius).
27inches=2πr
divide both sides by 2π :
r=4.299
The equation for diameter is 2*r so we just multiply
4.299 *2 = 8.598
since we have to round to the hundredth place the answer would be
8.60
The approximate diameter of the circular clock is 8.60 inches.
What is Circumference of a Circle?Circumference of a circle is defined as the total length of the boundary of the circle.
The concept is same as the perimeter for straight sided figures.
Given that,
Circumference of the clock = 27 inches
The formula to find the circumference is,
C = 2πr
where r is the radius.
2r is the diameter.
2πr = 27
2r = 27 / 3.14
2r = 8.5987 ≈ 8.60
Hence the diameter of the clock is 8.60 inches.
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Which trig ratio will be helpful in finding the missing side length sin(24)
The sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have a right-angle triangle in the figure in which:
Length of the hypotenuse = x unit
Length of the side opposite to the angle = 12
And the angle is given between sides adjacent to the angle to the hypotenuse = 24°
We know the:
[tex]\rm sin\theta = \frac{Side \ opposite \ to \ the \ angle}{hypotenuse }[/tex]
[tex]\rm sin24 = \frac{12}{x}[/tex]
[tex]\rm x = \frac{12}{sin24}[/tex]
x = 29.50 units
Thus, the sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.
Know more about trigonometry here:
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can anybody please help me with this math problem?
Answer:
B. (15, 19)
Step-by-step explanation:
To check to see if a particular ordered pair is a solution to an equation, use the values for the variables and see if the equation is true.
A. 4/5(0) +7 = 7 ≠ 1
B. 4/5(15) +7 = 19 . . . . . . is a solution
C. 4/5(-5) +7 = 3 ≠ 11
D. 4/5(-2) +7 = 27/5 ≠ 1
__
A calculator can help with this.