Answer:
The answer is 15 cm.
Step-by-step explanation:
y= k/x
x= width
y= length
So there for;
x= 5
y= 12
Which means that;
12= k/5
k= 60
And then;
y= 60/x
Which then finally means that;
y= 60/4
60/4= 15 cm
Seven more than the quotient of a number b and 45 is greater than 5.
Answer/Step-by-step explanation:
Given:
Seven more than the quotient of a number b and 45 is greater than 5
So:
Seven more than the quotient of a number b and 45 is greater than 5
=
7 + b/45 > 5
Solve if needed:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:b > -90\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-90,\:\infty \:\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}[/tex]
[tex]7+\frac{b}{45}-7 > 5-7[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{b}{45} > -2[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}45[/tex]
[tex]\frac{45b}{45} > 45\left(-2\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]b > -90[/tex]
~Lenvy~
A set of stacked plates for serving weighs 12kg . If each plate weighs 1/2 kg how many plates are in the stack?
Answer:
24
Step-by-step explanation:
12 divided by 1/2 = 24
Hope this helped! :)
Please help!!!
Triangle ABC is similar to triangle PQR
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm
(a) Calculate the length of BC
(b) Write down an expression for y in terms of x
Check the picture
Answer:
5.5
3y = x
Step-by-step explanation:
→ Find the scale factor enlargement
12 ÷ 4 = 3
→ Divide 16.5 by 3
5.5
→ Write SF in terms of x and y
3y = x
The Length of BC is 5.5 cm and equation for y in terms of x is y = 3x
What are similarity in triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
According to question
Triangle ABC ≅ triangle PQR
where,
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm
According to the similarity rule
the same ratio of corresponding sides
therefore,
[tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} \\[/tex]
(a) Calculate the length of BC
[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]
⇒ [tex]\frac{4}{12} = \frac{BC}{16.5}[/tex]
⇒ [tex]\frac{1}{3} = \frac{BC}{16.5}[/tex]
⇒ BC = 5.5 cm
(b) Write down an expression for y in terms of x
we know , [tex]\frac{AB}{PQ} = \frac{AC}{PR} \\[/tex]
⇒ [tex]\frac{4}{12} = \frac{x}{y} \\[/tex]
⇒ [tex]\frac{1}{3} = \frac{x}{y} \\[/tex]
⇒ [tex]y=3x[/tex]
Hence, Length of BC is 5.5 cm and equation for y = 3x
To know more about similarity in triangles here :
https://brainly.com/question/20502441
# SPJ2
Help as soon as possible thanks
What is the area of this rectangle?
11.2 cm
5.1 cm
Answer :-
Area of Rectangle is 57.12 cm² .Explanation :-
As per the provided information in the given question, we have been given that the Length of Rectangle is 11.2 cm . Its Breadth is given as 5.1 cm . And, we have been asked to calculate the Area of Rectangle .
For calculating the Area , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed {\sf { \: Area \: of \: Rectangle \: = \: Lenght \: \times \: Breadth \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf {Area \: of \: Rectangle \: = \: Lenght \: \times \: Breadth} [/tex]
[tex] \longmapsto \: \: \: \sf {Area \: of \: Rectangle \: = \: 11.2 \: \times \: 5.1} [/tex]
[tex] \longmapsto \: \: \: \textbf {\textsf {Area \: of \: Rectangle \: = \: 57.12 }} [/tex]
Hence :-
Area of Rectangle = 57.12 cm² .[tex] \underline {\rule {205pt} {4pt}} [/tex]
Additional Information :-
[tex] \begin{gathered} \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} \end{gathered} [/tex]
[tex] \underline {\rule {205pt} {4pt}} [/tex]
Note :-
Kindly Scroll the Screen from Right to Left for Better View .The area of the given rectangle.
Solution:[tex]a = length \times width[/tex]
[tex]a = 11.2 \times 5.1[/tex]
[tex]a = 57.12 \: {cm}^{2} [/tex]
Therefore, the area of the given rectangle is 57.12 square centimeters.
The local college has a swimming pool that measures 50m long and 25m wide if u swam from one corner to the other how far would u swim
Answer:
55.9 m
Step-by-step explanation:
If you swam from one cornee to the other, you divide the rectangle into 2 right triangles
the diagonal is a common hypothenus of the triangles
applying pytha
C² = A² + B²
C² = 25² + 50²
C² = 625 + 2500
C² = 3125
C = sqrt 3125
C = 55.9 m
Answer:
105 cubic meters
Step-by-step explanation:
In a survey of 950 people, it was found that 420 people prefer Pepsi, 380 people prefer Coca Cola, and
the remaining people prefer other drinks, what percentage of the people prefer Pepsi and Coca Cola?
Answer:
84.2%
Step-by-step explanation:
420 + 380 = 800
800 / 950 = .842
.842 * 100 = 84.2
84.2 = 84.2%
Find the radius. ddddddddddddddddddddddddddddd
Answer:
Its 3 because the radius if half of the diameter
Step-by-step explanation:
The base of a triangle is (x - 3) inches. The height of a triangle is 4.5 inches. If the area is 27 square inches, what is the value of x?
Answer:
x=15 inches
Step-by-step explanation:
Area of ∆ is 27sq inches
Height is 4.5 inches
base is (x-3) inches
Area of ∆= ½×b×h
27= ½×(x-3)×4.5
27=2.25×(x-3)
27=2.25x-6.75
2.25x=27+6.75
2.25x=33.75
x=33.75/2.25
x=15 inches
9,000 were divided equally among a certain no of persons . had there been 20 more person each would have got rupees 160 . find the original no of persons
Answer:
let the number of persons be " x "
and , let each person get [tex]\frac{9000}{x}\\[/tex]rupees.
______________________________________
let's first see why each person got [tex]\frac{9000}{x}\\[/tex] rupees ,
let us suppose each person gets an amount of " r " rupees.
then ,
[tex]x \times r = amount \: we \: have \: with \: us \\ \dashrightarrow{xr = 9000} \\ \dashrightarrow{ r = \frac{9000}{x}} [/tex]
_____________________________________
According to Question ,
hαd thєrє вєєn 20 mσrє pєrѕσnѕ, єαch pєrѕσn wσuld'vє gσt rupєєѕ 160 lєѕѕ.
hєncє, wє αrє nσw ín α ѕtαtє tσ frαmє αn єquαtíσn whích íѕ αѕ fσllσwѕ -
[tex]\fbox{(x + 20)(r - 160) = 9000}[/tex]
lєt'ѕ nσw plug ín thє vαluє σf r αѕ [tex]\frac{9000}{x}\\[/tex]
[tex](x + 20)( \frac{9000}{x} - 160) = 900 0\\ \\ \cancel{9000} + \frac{180000}{x} - 160x - 3200 =\cancel{ 9000} \\ \\ taking\:LCM, \\ \\ - 160x {}^{2} - 3200x + 180000 = 0 [/tex]
on dividing the complete equation by (- 160)
[tex]x { }^{2} + 20x - 1125 = 0[/tex]
now , use the method of splitting the middle term so that we get the value of x.
[tex]x {}^{2} + 45x - 25x - 1125 = 0 \\ \\ x(x + 45) - 25(x + 45) \\ \\ (x + 45)(x - 25) = 0 \\ \\ \fbox{x = - 45 \: \: or \: \: 25}[/tex]
since number of persons can't be negative. therefore ,
number of persons = x = 25
_____________________________
_____________________________
hope helpful :D
Hong purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Hong paid.
Answer:
5n=c
Step-by-step explanation:
the equation 5n=c can represent the total cost Hong would have paid for the notebooks because given that each notebook costs $5, you would multiply 5 by the number of notebooks (n) that Hong would be purchasing, which would bring you to the cost (c) of the notebooks all together
sorry for the delay. hope this helps
The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.
A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0.
Table B: Frequency of Foreign-Language Studies by Row
A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”
Table A, because the given condition is that the student is in high school.
Table A, because the given condition is that the student is taking a foreign language.
Table B, because the given condition is that the student is in high school.
Table B, because the given condition is that the student is taking a foreign language
Answer:
B: Frequency of Foreign-Language Studies by Row
I AM BEGGING. PLEASE HELP
Answer:
84cm³Step-by-step explanation:
Volume of the right triangular prism:
Note: V=l*w*h
L=3cm
W=4cm
H=7cm
Then, multiply.
3*4*7=84
84cm³
Therefore, the correct answer is 84cm³.
I hope this helps you! Let me know if my answer is wrong or not.
Only 0.6% of the students at a high school did not attend the first football game. Write 0.6% as a fraction and as a decimal
Answer:
here my answer
Step-by-step explanation:
hope this helps
Paul is running Tennis shop. He sells balls and rackets. Rackets (R) cost $1.20 each and Balls (B) cost $2:0 each. At the end of a month, Paul made a total of $70 and sold a total of 90 Rackets and Balls combined. Which system of equations represents this situation?
A. 2R + 1.20B = 90, B - R = 160.
B. 1.20R + 2B = 90, R - B = 90
C. 1.20R + 2B = 70, and R + B = 90
D. 1.20B + 2R = 90 and 2B + R = 70
The system of equations that represent the situation are 1.20R + 2B = 70, and R + B = 90.
What are the system of equations?
The system of equations are sets of equations that have to be solved simultaneously in order to determine their required values. They are often referred to as simultaneous equations.
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Which type of data would be considered qualitative data?
The type of data which would be considered as the qualitative data is the smell of the plant.
What is qualitative data?
The qualitative data is the data which describes the quality or the characteristics of a thing.
Qualitative data can be felt rather than measure. The data of color of hairs of cricket team player is an example of qualitative data.
The options for the problem are listed below.
Mass of a plant- It is a type of quantitative data which can be measured in kg.Height of a plant-This type of data is quantitative data which can be measured in m or ft.Smell of a plant-The smell of a plant can be filled and considered as qualitative data. Volume of water-This is also a type of quantitative data.Thus, the type of data which would be considered as the qualitative data is the smell of the plant.
Learn more about the qualitative data here
https://brainly.com/question/24492737
What weighs more 5kg of feathers or 5kg of steel
Answer:
both weigh the same.
Step-by-step explanation:
you have 5kg of steel and 5kg feathers.
The weight is the same so both weigh the same.
Question 2 (Multiple Choice Worth 1 points)
(04.02 MC)
3
What is the y-intercept of the line perpendicular to the line y = - x + 5 that includes the point (-3,-3)?
4
O
Aiw
4
01
07
O
21
4
Answer:
y- intercept = 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{4}[/tex] x + 5 ← is in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , then equation of perpendicular line is
y = [tex]\frac{4}{3}[/tex] x + c
to find c substitute (- 3, - 3 ) into the equation
- 3 = - 4 + c ⇒ c = - 3 + 4 = 1
that is the y- intercept of the perpendicular line is c = 1
The football team played 15 games this season and won three more games than it lost. How many games did the team lose?
w = won game
l = lost game
w + l = 15
and
w = I + 3
so
l + 3 + l = 15
2l = 12
l = 6
lost = 6
won = 9
Answer:
The ratio of wins to losses is 3 to 1, out of 32 total games. 3:1 has a total of 4 parts (3+1).
Total games divided by total parts is 32/4 = 8.
Now multiplying number of parts to divisor gives us 3x8 : 1x8 or 24:8. Therefore they won 24 games, lost 8.
Step-by-step explanation:
Write 9.33 as a mixed number and as an improper fraction. Do not try to simplify your answers.
Answer:
Improper Fraction:
933/100
Mixed Number:
9 33/100
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Select the correct answer.
Given the formula below, solve for x.
A.
B.
C.
D.
help me please
Answer:
C is the answer
Good luck! :)
Rick is a car salesman and is paid off of a commission rate of 12%. If he sells $120,000 worth of cars, how much money will he make?
If Rick was to sell $120,000 worth of cars, he would make approximately $14,400. Hope this helps - Have an amazing rest of your day :)
the vertices of ABC are points A(1,1), B(4,1), and C(4,5). find the cosines of the angles of the triangle.
Answer:
cos(A) = 3/5cos(B) = 0cos(C) = 4/5Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.
Cos = Adjacent/Hypotenuse
__
Angle AIn the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...
cos(A) = AB/AC
cos(A) = 3/5
__
Angle BThe right angle in the triangle is angle B. The cosine of a right angle is 0.
cos(B) = 0
__
Angle CThe side adjacent to angle C is CB, so its cosine is ...
cos(C) = CB/AC
cos(C) = 4/5
Answer:
cos <ABC=0
cos <BAC=3/5
cos<ACB=4/5
GIVE 5 STARS IF YOU DO RSM!!!
P = $700, r = 5%, t = 8 years; compounded quarterly
HELP ME ASAP!!!
Answer:
$1,041.69
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation:
Forumla; P(1 + r/n)nt
700.00(1 + 0.05/4)(4)(8)
700.00(1 + 0.0125)(32)
$1,041.69
hope this helps!
Answer:
$1,041.69
Step-by-step explanation:
Compound interest formula: [tex]A=P(1+\frac{r}{n})^{nt[/tex]
A = amount (future value ($))
P = principal (orignal amount - $700)
R = rate (written as a decimal - 5%/100= 0.05)
N = compound (quarterly - 4) 4 quarters in 1 yr.
T = number of years (8)
[tex]A=P(1+\frac{r}{n})^{nt[/tex]
[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=700(1+\frac{0.05}{4})^{4*8} < == start\ from\ the\ parenthesis\ and\ divide\ first\\\\A=700(1+0.0125)^{4*8} < == add\ the\ \#s\ in\ the\ parenthesis\\\\A=700(1.0125)^{4*8} < == multiply\ the\ exponents\\\\A=700(1.0125)^{32} < ==multiply\\\\A=700(1.488131) < ==multiply\\\\A=1041.691\\\\A=$1,041.69[/tex]
Hope this helps!
I will give braniest An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?
A.
5 in.3
B.
7 in.3
C.
19 in.3
D.
29 in.3
7 in.3 hope it helps
Help me please 4 questions 50 points this is due today
Answer:
Q15: A
Q12: A,C,D
Q13: B
Q14: C
Answer:
1) Left 5, Down 1
2) A, C, D
3) B
4) D
Step-by-step explanation:
Desmos graphing calculator will help you with all of these.
Identify the area of the polygon with vertices t(6,5), a(8,−1), s(4,−2), and k(−1,4).
Answer:
36.5 square units
Step-by-step explanation:
There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.
__
GeometryThe figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...
A = 1/2bh
Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...
A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5
The area of the bounding rectangle is ...
A = bh = 9×7 = 63
So, the area of the figure is the difference ...
A = 63 -26.5 = 36.5 . . . square units
__
The other methods of finding the area have been added as attachments.
Solve each equation.
5/6x = 35
A. 42
B. 29.16 (continued)
C. 35 5/6
D. 36
[ Please help me!! :( ]
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
═════════════════════
The answer is A.42Solution:[tex] \frac{5}{6}x = 35[/tex]
[tex]x=35\times \left(\frac{6}{5}\right) [/tex]
[tex]x=\frac{35\times 6}{5} [/tex]
[tex]x=\frac{35\times 6}{5} [/tex]
[tex]x=\frac{210}{5} [/tex]
[tex]x=42 [/tex]
══════════════════════
Step-by-step explanation:
#Carry on learning
A school gym has an area of 4,641 square feet and a perimeter of 284 feet. What are the dimensions of the gym?
Answer:
dimensions are 51x91
Step-by-step explanation:
Assuming that the gym is rectangular in shape, then...
l*w=4641
and 2l+2w=284
We have two variables and two equations so to solve this we plug one equation into another.
Solve for one variable:
l*w=4641
w=4641/l
Plug into the other equation...
2l+2(4641/l)=284
Solve
l*(2l+9282/l)=284
2l^2+9282=284l
2l^2-284l+9282=0
Factor the trinomial:
2(l−51)(l−91)=0
l−51=0 or l−91=0(Set factors equal to 0)
l=51 or l=91
now, lets plug it into one of the equations to find w
51*w=4641
w=91, l=51
or...
91*w=4641
w=51, l=91
Answer:
91 ft × 51 ft
Step-by-step explanation:
while the other answer is basically correct, it makes a to at the beginning of the calculation (but the continues correctly).
and it assumes you can find the right factoring of the expression.
so, I will show you here how to generally solve this, even if you cannot find the right factorization :
l×w = 4,641 ft²
w = 4641/l
2l + 2w = 284
2l + 2(4641/l) = 284
2l + 9282/l = 284
2l² + 9282 = 284l
2l² - 284l + 9282 = 0
to make things easier let's divide everything by 2
l² - 142l + 4641 = 0
the general solution to a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = l
a = 1
b = -142
c = 4641
l = (142 ± sqrt((-142)² - 4×1×4641))/(2×1) =
= (142 ± sqrt(20,164 - 18,564))/2 =
= (142 ± sqrt(1600))/2 = (142 ± 40)/2 = 71 ± 20
l1 = 71 + 20 = 91
l2 = 71 - 20 = 51
w1 = 4641/91 = 51
w2 = 4641/51 = 91
so, they are interchangeable (it does not matter which we call length and which width).
the dimensions are 91 ft × 51 ft
can someone help me plsea and i mean if its right what i wrote?
Answer:
Area = 201.1
Cicumference = 50.27
Your answers are correct
Step-by-step explanation:
A = Area = ?
C = Circumference = ?
SInce both the "Area" and "Circumference" are unknown, we use the formula:
[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi { d }^{ 2 }}[/tex]
Remember that:
The diameter is the length of the line through the center
and
The radius is half the diameter
Given:
Diameter = 16
Now we substitute "16" for "d" into the formula and solve
[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi {( 16) }^{ 2 }}[/tex]
Calculate 16 to the power of 2 and get 256
[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi \times 256}[/tex]
Multiply [tex]\frac{1}{4}[/tex] and 256 to get [tex]\frac{256}{4}[/tex]
[tex]\mathrm{A = \dfrac{ 256 }{ 4 } \pi}[/tex]
Divide 256 by 4 to get 64
[tex]\mathrm{A=64\pi }[/tex]
Multiply 64 and π to get 201.06192983
[tex]\mathrm{A=201.06192983}[/tex]
Round to the nearest tenth and get 201.1
[tex]\mathrm{A=201.1}[/tex]
Next we need to find the "Circumference"
Formula for finding circumference is:
C = πd
Given:
Diameter = 16
Now we substitute "16" for "d" into the formula and solve
C = π(16)
Multiply 16 and π to get 50.265482457
C = 50.265482457
Round to the nearest hundreth and get 50.27
C = 50.27
So, your answers are correct.
The only mistake that could happen is whether you need to round to the nearest hundreth or tenth.