Answer:
15
Step-by-step explanation:
Write an equation expressing the given relationship. Solve it to find the numbers.
__
setupLet x represent "another number." Then the number I'm thinking of is ...
(3x -3)
and the product of that and "the other number" is 90:
x(3x -3) = 90
solutionx(x -1) = 30 . . . . . . divide by 3
We know the factors of 30 are ...
30 = 30·1 = 15·2 = 10·3 = 6·5
Of these factor pairs, the numbers that differ by 1 are 6 and 5. "The other number" is 6, and "my number" is 90/6 = 15.
My number is 15.
Can someone help me on this please
What is the length of the missing side? Hint: use the Pythagorean Theorem.
Answer: To find the missing length= WX= √9^2+12^2
WX= 15
Step-by-step explanation:
How to add polynomials in brackets
What is the decimal multiplier to increase by 4.1%?
Answer:
1.041.
Step-by-step explanation:
4.1 % = 4.1 / 100 = 0.041 as a decimal fraction.
So ehen we increase a quantity by 4.1% we multiply by 1.041.
Solve the triangle m<N= 118°, m<P= 33° and m=15. Round to the nearest tenth. Please show work.
Answer:
M = 29
27.31838095 = n
16.8511209 = p
Step-by-step explanation:
M = 180 -33-118 = 29
We can use the rule of sines
sin A sin B sin C
------------ = ---------- = ------------
a b c
sin 118 sin 29
------------ = ----------
n 15
Using cross products
15 sin 118 = n sin 29
Divide by sin 29
15 sin 118 / sin 29 = n
27.31838095 = n
sin 33 sin 29
------------ = ----------
p 15
Using cross products
15 sin 33 = p sin 29
Divide by sin 29
15 sin 33 / sin 29 = p
16.8511209 = p
(sin5-sin15+sin25-sin35)/(cos5-cos15-cos25+cos35) =cot10
Answer:
Step-by-step explanation:
(sin5-sin15+sin25-sin 35)/(cos 5-cos 15+cos 25 +cos 35)[tex]=\frac{-(sin 35-sin 5)+(sin 25-sin 15)}{(cos 35+cos 5)-(cos 25+cos 15)} \\[/tex]
[tex]=\frac{-2 cos \frac{35+5}{2}sin \frac{35-5}{2}+2 cos \frac{25+15}{2} sin \frac{25-15}{2} }{2cos \frac{35+5}{2}cos \frac{35-5}{2}-2cos \frac{25+15}{2} cos \frac{25-15}{2} }[/tex]
[tex]=\frac{-cos 20 sin 15+cos 20 sin 5}{cos 20 cos 15-cos 20 cos 5} \\[/tex]
[tex]=\frac{- cos 20(sin 15-sin 5)}{cos 20(cos 15-cos 5)}[/tex]
[tex]=\frac{-(sin 15-sin 5)}{cos 15-cos 5)} \\=\frac{-2cos \frac{15+5}{2}sin \frac{15-5}{2} }{-2 sin \frac{15+5}{2}sin \frac{15-5}{2} } } }[/tex]
[tex]=\frac{cos 10 sin 5}{sin 10 sin 5}[/tex]
[tex]=\frac{cos 10}{sin 10}[/tex]
=cot 10
The sum of two numbers is 19.Their difference is 5. Find the number 5
Answer:
12 and 7
Step-by-step explanation:
The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria's installation price is $50 but the store charges $13 for each square yard. For what number of square yards of carpeting will the cost, including installation, be the same for both stores? 6a) What expression that represents the cost of having Magic Carpet install carpeting: 6b) What expression that represents the cost of having Carpeteria install carpeting: 6c) Write an algebraic equation that represents when the cost of installing carpet by the two companies will be the same: 6d) For what number of square yards of carpeting will the cost, including installation, be the same for both stores? Solve the equation in 1c. Show your work.
Answer:
The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)
The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)
The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)
The area of carpet for which the cost is the same is: 10 square yard
Step-by-step explanation:
6a) The cost for magic carpet:
This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:
cost = 90 + 9*a
Where a is the area of carpet to be installed.
6)b) The cost for Capeteria:
This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:
cost = 50 + 13*a.
6) c) The algebraic expression for the cost to be the same in both stores:
90 + 9*a = 50 + 13*a
6) d) We need to solve the expression above for a:
50 + 13*a = 90 + 9*a
13*a - 9*a = 90 - 50
4*a = 40
a = 40/4 = 10
The off peak weekly average cost of hiring a caravan is £520 in July the average cost increase to £800 calculate the percentage in cost give your answer to 2 significant figure
Answer:
54%
Step-by-step explanation:
For this case you can solve the problem by applying a simple rule of three in which we have
520 ---> 100%
800 ---> x
Clearing x we have
x = (800/520) * 100 = 154%
the percentage increase in cost was
154-100 = 54%
answer
the percentage increase in cost was 54%
The perimeter of the triangular park shown on the right is 12x - 6. . What is the missing length?
Answer:
8x-4
Step-by-step explanation:
3x-3+x+1+?=12x-6
4x-2+?=12x-6
4x+?=12x-4
?=8x-4
Therefore, 8x-4
In the figure, find m∠ABD if m∠ABC = 85° and m∠DBC = 61°.
Question 3 options:
A)
24°
B)
5°
C)
146°
D)
29°
Answer:
A. 24°
Step-by-step explanation:
ABC is 85° which is the whole angle. DBC is a part of ABC and is 61°. If we do 85-61=24. The answer would be 24°.
PLZ MARK BRAINLIEST!!!
If m ∠ABC=85° and m ∠DBC=61° then m angle ABD=24°. Hence the option A is correct.
What is an angle?
An angle is the figure formed by two sides of a figure , sharing a common endpoint, called the vertex of the angle.
How to determine angle between lines?From the given figure we can conclude that ∠ABD=∠ABC-∠DBC.
We have been given that m ∠ABC=85° and m ∠DBC=61°
∠ABC=85/m and ∠DBC=61/m
Put in the above equation
∠ABD=∠ABC-∠DBC
∠ABD=85/m-61/m
=24/m
we have been find m ∠ABD so we have to multiply 24/m by m is 24°.
Hence the value of m angle ABD=24 degrees.
Learn more about angles at https://brainly.com/question/25716982
#SPJ2
PLZ HELP!
Round your answer to the nearest hundredth.
A
9
7
?
B.
С
Answer:
Angle B = 51.06 degrees
Step-by-step explanation:
arcsin(7/9)=Angle B
Therefore, Angle B = 51.06 degrees
What is the probability of the complement of spinning an even number by using the spinner below?
Answer:
Think about a dice. When a dice is rolled there are 6 possible outcomes: 1, 2, 3, 4, 5 and 6. To find the probability of the event of rolling a 4, find the number of possible ways of rolling a 4 and divide it by the total number of possible outcomes.
There is one way of rolling a 4 and there are six possible outcomes, so the probability of rolling a 4 on a dice is . This is called the ‘theoretical probability’ - in theory, if you roll a dice six times then you should roll a 4 once.
I think this will help
Step-by-step explanation:
Answer: the answer is 5/8.
Step-by-step explanation:
find the values of t6 and d for the arithmetic sequence with t6= 4 and t10= -4
Answer:
t1 = 14 d= -2
Step-by-step explanation:
tn = t1 + d ( n-1)
t6 = t1 + d(6-1)
4 = t1+ 5d
t10 = t1 +d (10-1)
-4 = t1 +d9
Take the two equations and subtract to eliminate a1
4 = t1+ 5d
- (-4 = t1 +d9)
-------------------------
4 = t1+ 5d
+4 =- t1 -d9
-------------------------
8 = -4d
Divide each side by -4
8/-4 = -4d/-4
-2 =d
Now we can find t1
4 = t1+ 5d
4 = t1 + 5(-2)
4 = t1 -10
Add 10 to each side
4+10 = t1
14 = t1
Answer:
A
Step-by-step explanation:
t1 = a
tn = a + (n-1)d
t6 = a + 5d = 4
a = 4 - 5d
t10 = a + 9d = -4
4 - 5d + 9d = -4
-8 = 4d
d = -2
a = 4 - 5(-2)
= 4 + 10
= 14
The following table shows the probability of rolling the numbers 1 through 8 on a fair 8 sided die what is the standard deviation of the random variable x the number that comes up on the die
Answer: 2.291
Step-by-step explanation:
Answer:
2.291
Step-by-step explanation:
The other guy awnser correct, checked through test
Please can someone help! I will mark you branliest!
Three to the sixth power divided by three to the third power
let's first convert this to number form.
3^6 / 3^3= what?
to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.
3^6 / 3^3 = 3^6-3=3^3
A rhombus has side lengths of 25. What could be the lengths of the diagonals? *
Answer:
0 < x < 50
Step-by-step explanation:
We start out with a square (which IS a rhombus for all sides are equal in
length. That's when the diagonals are equal in length, which, by the
Pythagorean theorem equal to
5*√2
C^2=a^2+b^2
=25^2+25^2
Factorise
c^2=25^2 × 2
c=square root of 25^2 × 2
That is
c=√25^2 × 2
=5×√2
As we decrease the angle on the bottom left and increase the angle on
the bottom right, the green diagonal increases to 25+25 or 50, but never gets to 50. The red diagonal shrinks to 0 but never gets to 0.
the lengths of a diagonal can only be in the open interval from 0 to 50. In interval notation that is (0,50) or 0 < x < 50.
Answer:
Minimum value: 0, Maximum value: 50
Step-by-step explanation:
A rhombus is a quadrilateral with side of same length but different angle pairs. Let consider the following rhombus (See attachment). It is known that sum of all angles in quadrilateral is equal to 360°. The length of each diagonal is, respectively:
[tex]d_{1} = 2\cdot l\cdot \sin 0.5\alpha[/tex]
[tex]d_{2} = 2\cdot l \cdot \sin (90-0.5\alpha)[/tex]
[tex]d_{2} = 2\cdot l \cdot (\sin 90^{\circ}\cdot \cos 0.5\alpha - \cos 90 \cdot \sin 0.5\alpha)[/tex]
[tex]d_{2} = 2\cdot l \cdot \cos 0.5\alpha[/tex]
Each expression shows that value of a diagonal changes at the expense of the other one inasmuch angle changes. The minimum and maximum values of any of the diagonal occur when trigonometric functions are equal to 0 and 1, respectively.
Minimum value: [tex]d_{min} = 0[/tex], Maximum value: [tex]d_{max} = 2\cdot l = 2 \cdot (25) = 50[/tex]
65 m
16 m
b
What is the length of the missing leg?
Answer:3,969[tex]^{2}[/tex](squared) or 63
Step-by-step explanation:
First you must plug the answers into the equation A[tex]^{2}[/tex] + B[tex]^{2}[/tex]=C[tex]^{2}[/tex]
Then you square the numbers. example: 2[tex]^{2}[/tex]=2 x 2=4
After that you subtract from both sides of the equation to get the variable by itself. Example: 4+b[tex]^{2}[/tex]=10
-4 -4
b[tex]^{2}[/tex]=10
After that you square both sides or you could say answer[tex]^{2}[/tex]
:
Identify the following given the Quadratic Function graphed below. **Do NOT use the space bar when typing your answers.
Vertex (ordered pair)=
Axis of sym(equation)=
Answer:
Axis of symmetry: x = 1
Vertex = [tex](1,-4)[/tex]
Step-by-step explanation:
Given: graph indicating quadratic function
To find: Vertex (ordered pair), axis of symmetry
Solution:
A vertical line that divides the parabola into two congruent halves is known as the axis of symmetry.
The point where the parabola crosses its axis of symmetry is known as the vertex of a parabola.
From the graph,
axis of symmetry: x = 1
Vertex = [tex](1,-4)[/tex]
Solve the following: a) 3x2+ 4 9.5 b) 7+2x 5
Answer:
a= 55.5
b= 45
hope it is helpful for u
NEED HELP ASAP!!!!!
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Answer:
20,000 is the length of the book with 20,000 pages.
Which data collections are considered a census? Select all that apply.
a. Ally wants to find out the favorite food of students in her math class, so she surveys the first
ten students who walk into class.
b. Isaac wants to find out the least favorite school subject of the students in his science class, so
he surveys all the students in science class.
c. Malik wants to find out how much time seventh graders in his school spend doing homework
each night, so he surveys the 13-year-old boys in the seventh grade.
d. Emily wants to find out how much time soccer players on her team spend practicing on their
own each week, so she surveys each girl on the team.
e. Lucas wants to find out the favorite song of the singers in his school chorus, so he surveys his
close friends in the chorus.
Answer: Choice B.
Step-by-step explanation:
Censuses are complete data collections of every member of a population.
For example, the U.S. Census occurs every 10 years and documents every member of the American population.
Choice A only surveys the first ten students; this is not a complete census.
Choice B surveys all the students in the targeted data group. This is a census.
Choice C only surveys the male students, even though there are female students in his data group. This is not a census.
Choice D only surveys the girls on the soccer team, even though there may be boys on the team as well. This is not a census.
Choice E only surveys his friends in the chorus, even though there may have been people that were not his close friends. This is not a census.
Only choice B is a complete census.
Answer:
choice B
Step-by-step explanation:
because choice b is the only complete census
This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $112,681 left to pay on your loan. Your house is now valued at $190,000. Your current situation How much of the original loan have you paid off? (i.E, how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.)
Answer:
The below is the first of paragraph in the question which is missing:
Suppose that 10 years ago you bought a home for $150,000, paying 10% as a down payment, and financing the rest at 8% interest for 30 years.
$22,319.00
Step-by-step explanation:
In order to determine the portion of the original loan that has been paid off,we need to ascertain the original loan amount as below:
loan amount=purchase price of the home-down payment
purchase price is $150,000
down-payment =10%*$150,000=$15,000
loan amount=$150,000-$15,000=$135,000
If the loan amount has reduced to $112,681,hence the loan amount paid off is the difference between the original loan amount and the balance now:
original loan paid off=$135,000-$112,681=$22,319.00
If the height of a parallelogram is 4 times more than it’s base, and the area is 221 sq in, what is the base and height?
Answer:
Base = 13in
Height = 17in
Step-by-step explanation:
Step-by-step explanation:
height of a parallelogram = 4 times more than it’s base
Let height = H
Base = B
H = 4 + B
area of the parallelogram = 221 in²
area of the parallelogram = base × height
221 = B × H = B × (4+B)
221 = 4B + B²
B² + 4B - 221 = 0
Using almighty formula to find B
See attachment for explanation
From the calculation:
Since the dimension of the parallelogram can't be negative, B = 13in
Height = B + 4 = 13+4
Height = 17in
Answer:
Base = 13 inches
Height = 17 inches
Step-by-step explanation:
The formula to find the area of a parallelogram = Base × Height
Let's represent Base = B
Height = H
From the question, the height is 4 times more than the Base
Height(H) = B + 4
Area = 221 square inches
Therefore, area of a parallelogram = Base × Height
221 sq in = B ×( B+4)
221 sq in = B² + 4B
B² + 4B - 221 = 0
We would solve the quadratic equation using factorisation method. Hence,
B² + 17B - 13B - 221 = 0
(B²+ 17B) - (13B - 221) = 0
B(B + 17) - 13(B + 17) = 0
(B + 17) (B - 13) = 0
B + 17 = 0
B = - 17
Or
B - 13 = 0
B = 13.
From the above calculation, since B = Base
B = -17 inches Or 13 inches
The base of a parallelogram cannot be negative, hence , The Base of the Parallelogram = 13 inches.
We are told that the height of the Parallelogram is 4 times more than the Base. This was represented but the equation
B + 4 = H
Since B = 13 :
13 + 4 = H
Height(H) = 17 inches.
Therefore, The base of the Parallelogram is 13 inches while the height of the Parallelogram is 17 inches.
Please help, this is worth a lot to me
Evaluate cosθ when sinθ = -7/8 and θ is in Quadrant IV.
Answer:
cosθ= [tex] \frac{ \sqrt{15} }{8} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
In the 4th quadrant, the cosine of an angle is positive.
The opposite side takes the negative sign in -⅞ since it is below the x-axis. Likewise, we reject [tex]x = - \sqrt{15} [/tex] since x lies on the right side of the y axis.
Bryan's hockey team is purchasing jerseys. The company charges $ 250 for a onetime set-up fee and $ 23 for each printed jersey. Expression represents the total cost of x number of jerseys for the team?
Answer:
$250 + $23x
Step-by-step explanation:
One time set-up fee for jerseys = $250
cost of one jersey = $23
therefore, cost x jersey = cost of one jersey*x = 23x
Total cost for this deal will be sum of One time set-up fee for jerseys and cost x jersey
Total cost = One time set-up fee for jerseys + cost x jersey
Total cost = $250 + $23x
Expression represents the total cost of x number of jerseys for the team is $250 + $23x.
change 08.00 to 12hour clock using am and pm
Answer:
if 8:00 is in the 24 hr clock then it is 08:00 am
Step-by-step explanation:
PLZZZZ HELP MEEEEE I WILL GIVE BRAINLIST ‼️‼️‼️‼️‼️‼️‼️‼️‼️
Answer:
|-3| - |6| = 9
| 6 - -3| = | 6+3| = 9
Step-by-step explanation:
The distance between points is given by
d = sqrt( (x2 -x1) ^2 + (y2-y1) ^2 )
Since the y coordinates are the same
d = sqrt( (x2 -x1) ^2 )
d = sqrt( x2-x1)^2)
Or the distance between the two points
The distance between them is 9 units
|-3| - |6| = 9
| 6 - -3| = | 6+3| = 9