Answer:
100 m²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] product of the diagonals
Here the diagonals are 5 + 5 = 10 and 10 + 10 = 20, thus
A = [tex]\frac{1}{2}[/tex] × 10 × 20 = 100 m²
Answer:
10mm or 5
Step-by-step explanation:
because rohumbus has 4 side so u have to mulitpe it by 2 then u have
I need help for this question I’m stuck
Answer:
g=6
Step-by-step explanation:
We can start by multiplying both sides by 2
5(3g+2)=100
Now we can distribute the 5 by using the distributive property
15g+10=100
Then we subtract 10 from both sides
15g=90
Divide both sides by 15
g=6
Answer:
6
Step-by-step explanation:
5(3g + 2)/2 = 50 Multiply both sides by 2
5(3g + 2) = 50*2 = 100 Remove the brackets
15g + 10 = 100 Subtract 10 ***
15g+10-10 = 100 - 10 Collect like terms.
15g = 90 Divide by 15 ***
15g/15 = 90/15
g = 6
I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.
The Venn diagram shows event A and event B comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?
Answer:
D 0.6
Step-by-step explanation:
plato/edmentum
Answer: 0.6
Step-by-step explanation:
Mia got 24 out of 30 problems
correct. What percent is this?
Answer:
80% (see below)
Step-by-step explanation:
24:30
24 ÷ 30 = 0.8
0.8 = 80%
Hope this helped! :)
Answer:
80%
Step-by-step explanation:
Step 1: Find the fraction she got correct
24/30 = 4/5
Step 2: Find the decimal
4/5 = 0.8
Step 3: Convert to percentage by multiplying by 100
0.8(100) = 80%
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products.
Answer:
(2xy +x+y)(3xy² -y)
= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²
(xy+3x+2)(xy-9)
= X²y² -7xy+3x²y -27x-18
(x²+3xy-2)(xy+3)
= X³y + 3x² + 3x²y² +7xy -6
Step-by-step explanation:
For (xy+9y+2) and (xy-3)
(xy+9y+2) (xy-3)
= x²y² -3xy +9xy² -27y + 2xy -6
= x²y² -xy +9xy² -27y -6
For (2xy +x+y)(3xy² -y)
= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²
For (x-y)(x+3y)
= X² + 3xy -xy -3y²
= X² +2xy -3y²
For (xy+3x+2)(xy-9)
= X²y² -9xy +3x²y -27x+2xy -18
= X²y² -7xy+3x²y -27x-18
For (x²+3xy-2)(xy+3)
= X³y + 3x² + 3x²y² +9xy -2xy -6
= X³y + 3x² + 3x²y² +7xy -6
Melissa sold 18 raffle tickets for the
school fundraiser. Jonah sold half as
many tickets as Melissa. Shona sold 1
Ź times as many tickets as Melissa. If
each ticket cost $6, how much total
money did the students raise?
Answer:
$324
Step-by-step explanation:
Melissa sold 18 tickets.
Jona sold 1/2 * 18 = 9 tickets
Shona sold 1 1/2 * 18 = 1.5 * 18 = 27 tickets
Total number of tickets sold:
18 + 9 + 27 = 54
Total money from sales: 54 * $6 = $324
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
Answer:
Step-by-step explanation:
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option.
Answer: For the first option which is leasing, it is described by the equation:
250x - y + 4000 = 0
The general equation of a line is y = mx + c, where m is the slope of the line and c is the intercept on the y axis.
Since 250x - y + 4000 = 0, we need to make it in the form of the general equation by making y the subject of the formula.
Therefore:
y = 250x + 4000
This means that the slope is 250 and the y intercept is 4000. That is at 0 months, the amount paid for the car is $4000 for the first option. As the value of the months increase by 1, the amount paid for the car increase by 250
The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). To get the equation of the line, we use the formula:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\ Substituting:\\\frac{y-400}{x-0}=\frac{4400-400}{10-0}\\\frac{y-400}{x} = 400\\y=400x+400[/tex]
The second option has a slope of 400 and an intercept of 400. At 0 months, $400 is paid for ownership. As the value of the months increase by 1, the amount paid for the car increase by 400
how to do this question plz
Answer:
Step-by-step explanation:
surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²
surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²
surface area of top=10×5=50 cm²
surface area of bottom=10×3=30 cm²
Total surface area=60+200+50+30=340 cm²
Answer:
Step-by-step explanation:
to find the surface area , you need to find the area of each side(face)
top: 5*10=50
the bottom of the shape: 3*10=30
the front face:10*8=80
the sides are trapezoid shapes with:different dimensions:
side :8,12 and eight of 3 ( the shape has 3 faces the same)
area=((12+8)/2)*3= 30 (30*3 faces or sides)
add the numbers: 50+30+80+(30*3)=250 cm^2
I hope it is right and good luck
i am bad in fraction math. can you please help me. with proper explanation. Thank you!
Answer:
1 - 8/9 + 4/9 = 9/9 -8/9 +4/9 = (9-8+4)/9 = 5/9
Step-by-step explanation:
Answer:
The answer is 5/9.
Step-by-step explanation:
First, you have to make all the denorminator of the fractions the same by multultiplying :
[tex]1 - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1}{ 1} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1 \times 9}{1 \times 9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
Next, you have to make it into 1 fraction and simplify :
[tex] \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9 - 8 + 4}{9} [/tex]
[tex] = \frac{5}{9} [/tex]
PLZZZZZ HLPPPPP MEEEEEEEEEE NOW <3
Answer:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
Step-by-step explanation:
The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:
[tex]y - k = C\cdot (x-h)^{2}[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.
[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).
Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:
[tex]C = 1[/tex]
After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:
[tex]V(x,y) = (-3,-2)[/tex]
The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):
[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]
[tex]y = x^{2} + 6\cdot x + 7[/tex]
Then, the blue parabola is represented by the following equations:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
Find x.
Do not round your answer.
Answer:
x=12cm
Step-by-step explanation:
PA ×PB=PT^2
4×(4+x)=(8)^2
16+4x=64
4x=64-16
4x=48
x=12cm
Answer:
x =12
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(4+x) * 4 = 8^2
Distribute
16+4x = 64
Subtract 16 from each side
4x = 48
Divide each side by 4
4x/4 = 48/4
x = 12
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answer:
60 square units
Step-by-step explanation:
We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.
From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...
(10×6), (2×6), (6×4), (6×4)
Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...
(1/2)(60 +12 +24 +24) = 60
Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:
trapezoid area = 120 -60 = 60 . . . . square units
What is the surface area of the right cone below?
Answer: D) 339 sq. units
Step-by-step explanation:
see attachment
given that CFE = CFA, CFB = 68, and EFD = 62, find the measure of AFD HURRY PLEASE, IM TIMED!!!
Answer:
D
Step-by-step explanation:
Answer:
C
Please give brainliest, I explained in the comments
Step-by-step explanation:
Sam is two times Sydey's
their combined
age is 36. What is Sydney's age.
Answer:
12 years old
Step-by-step explanation:
Let's call Sydney's age x and Sam's age 2x. We can write:
x + 2x = 36
3x = 36
x = 12 so the answer is 12 years old.
Peggy has twice as many apples as kiwis, and three times as many pears as apples. How many pears does she have, if she has 72 apples, kiwis and pears all together?
Answer:
Let's do this step by step
Since there are 72 apples, the pears are 3 times as much. So multiply by 3
[tex]72 * 3=216[/tex]
So there would be 216 pears.
Now for Kiwis
They are 2 times as much, Multiply by 2
[tex]72 *2=144[/tex]
All together with the kiwi and the pears are
[tex]216+144=360[/tex]
And all the fruits together it would be
432
Hope this helps
Answer by
Fishylikeswater
The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.
How many pears does she have?Number of apples = 72 apples
Number of kiwis = 2 × 72
= 144 kiwis
Number of pears = 72 × 3
= 216 pears
Therefore, Peggy has 144 kiwis
Read more on Algebra:
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What is the domain and range ?
Answer:
Domain is [-4, 4]
Range is [0, 4]
Step-by-step explanation:
Domain is the fancy name for the values of x that works for the graph (input), in this case, from -4 to 4, inclusive.
Range is the fancy name for the values of y that works for the graph (output), in this case, from 0 to 4, inclusive.
Which graph represents the solution set of the system of inequalities?
y < 2/3x
Y>-x+2
Answer:
I attached it.
Step-by-step explanation:
This is the graph.
I need help choosing which two equations tool el to find the individual massses of A and B
Answer:
Step-by-step explanation:
The third one :
a is twice the mass of b so a=2b b and 2a combined equal 45Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this number of steps represent?
Answer:
3
Step-by-step explanation:
The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.
The opposite number of the integer number negative 3 will be 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.
The number is given below.
⇒ - 3
The opposite of the number negative 3 will be given as,
⇒ - (-3)
⇒ 3
The opposite number of the integer number negative 3 will be 3.
More about the Algebra link is given below.
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15. Find the lengths of major and minor arcs AB correct to the tenth of a cm. The minor
arc AB has a central angle which measure 85°.
(3marks)
859
Las funciones trigonométricas se utilizan fundamentalmente en la solución de triángulos
rectángulos, recordando que todo triángulo rectángulo tiene un ángulo de 90° y sus ángulos
interiores suman 180°. La notación que se acostumbra es la siguiente.
HELP ME WITH THIS IMPROPER FRACTION QUESTION pls
Answer:
(a) [tex]4\frac{1}{5}[/tex]
(b) [tex]7\frac{7}{24}[/tex]
Step-by-step explanation:
One way of operating with mixed numbers is to first convert them into improper fractions, and operate with them following the simple rules of fraction multiplication, and at the end convert the answer into mixed number.
(a) For this operation let's first convert [tex]5\,\frac{2}{5}[/tex] into an improper fraction:
[tex]5\frac{2}{5} =5+\frac{2}{5} =\frac{25}{5} +\frac{2}{5} =\frac{27}{5}[/tex]
Now perform the requested operation:
[tex]\frac{7}{9} \,*\,\frac{27}{5} =\frac{189}{45} =\frac{21}{5} =4\frac{1}{5}[/tex]
(b) Start by converting both mixed numbers into improper fractions and then operate as indicated:
[tex]1\frac{3}{4} =\frac{4+3}{4} =\frac{7}{4} \\4\frac{1}{6} =\frac{24+1}{6} =\frac{25}{6}[/tex]
[tex]\frac{7}{4} *\frac{25}{6} =\frac{175}{24} =7\frac{7}{24}[/tex]
al triplicar la temperatura registrada en un dia caluroso se obtiene 69.C cual era la temperatura inicial
Answer:
8.30662386292= mas o menos 8
Step-by-step explanation:
Para este pregunta, se necesita encontrar el raiz cuadrada de 69, porque 69 esta triplicada, entonces la temperatura inicial era mas o menos 8
solve for x. Write both solutions, separated by a comma. 9x^2-6x-8=0 please help me
Answer:
(-0.667,0), & (1.333,0)
Step-by-step explanation:
The equation creates two parallel lines on a graph that both have x-intercepts of (-0.667,0) & (1.333,0). So x = (-0.667,0), (1.333,0).
Hopefully this helps & gets brainliest.
PLS HELP 44 pts! Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool: (image attached below)
Line of best fit:_________________________________________________
approximate Slope: ______________________________________
Y intercept of the line of best fit.:________________________
Steps taken to solve or find the slope and intercept: ________________
Answer:
Okay so I am not positive but I will try to help you out. Okay so the line of best fit would positive. Because it is all going up. The approximate slope is 3/4 Because slope is change in y over change in x. The y intercept of the line of best fit would be (0,0). This is because when drawing the line you can see that it would intercept the y-axis at zero. My steps taken were basically just looking at it and peicing everything together. If you want to get more involved with slope you could pick to coordinates which I will include and do change in y over change in x.
My points I will pick are (1,1) and (5,2)
2-1/5-1=3/4
therefore approximate slope is 3/4
Like I said I am not positive but I am just trying to help out in some way.
If something is incorrect please inform me. If this helps also please inform me.
Plz work this out ASAP plz
Answer:
0.143059
Step-by-step explanation:
[tex]\dfrac{\sqrt{19 + 6^2}}{7.2^2} =[/tex]
[tex]= \dfrac{\sqrt{55}}{51.84}[/tex]
[tex] = 0.143059 [/tex]
solution to the inequality -13x>-39
Answer:
x<3
Step-by-step explanation:
-13x>-39
x<3
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k
Answer:
k = -11
Step-by-step explanation:
Let [tex]p(x) = x^3-6x^2+kx+10[/tex]
And x+2 is a factor of p(x)
Let x+2 = 0 => x = -2
Putting in p(x)
=> p(-2) = [tex](-2)^3-6(-2)^2+k(-2)+10[/tex]
By remainder theorem, Remainder will be zero
=> 0 = -8-6(4)-2k+10
=> 0 = -8-24+10-2k
=> 0 = -22-2k
=> -2k = 22
Dividing both sides by -2
=> k = -11
The graph of the equation y=-2 is a line Explain your answer 1) parallel to the x-axis 2)parallel to the y-axis 3)passing through the origin 4) passing through the point (-2,0)
Answer:
Parallel to the x-axisStep-by-step explanation:
Given the graph of the equation y = -2. To determine how the line will look like on Cartesian plane, first we must understand the following;
The standard form of equation of a line is y = mx+c where m is the slope and c is the intercept. Comparing this standard form to the given equation shows that the equation is in slope-intercept form.
It can also written as y = 0x-2. This shows that slope m = 0 and the y-intercept c = -2. The graph can be graphed as y = 0x-2
The line will be an horizontal line drawn on the negative y-axis at the coordinate x = 0 and y = -2. The line will therefore be parallel to the x axis
Check the attachment for the graph.
The graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis
A graph is a pictorial representation of data or values in a well - organized manner.
The graph of the equation passes through a point [tex]\boldsymbol{(a,b)}[/tex] if it satisfies it.
The graph of the equation of the form [tex]\boldsymbol{x=a}[/tex] is parallel to the [tex]\boldsymbol{y-}[/tex]axis.
The graph of the equation of the form [tex]\boldsymbol{y=a}[/tex] is parallel to the [tex]\boldsymbol{x-}[/tex]axis.
So, the graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis
Option 1) is correct.
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For the following exercises, use this scenario: A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1000 bacteria present after 20 minutes. Rounding to six significant digits, write an exponential equation representing this situation. To the nearest minute, how long did it take the population to double
Answer:
[tex]P(t)=256*e^{0.068185t}[/tex]
10 minutes for the population to double.
Step-by-step explanation:
The general formula for the population equation, P(t), is:
[tex]P(t)=A*e^{nt}[/tex]
We are given that for t =5 minutes and t = 2 minutes:
[tex]P(5)=360=A*e^{5n}\\P(20)=1,000=A*e^{20n}\\\\[/tex]
Solving for A and n:
[tex]ln(360)=ln(A)+5n\\ln(1,000)=ln(A)+20n\\ln(1,000)-4ln(360)=ln(A)-4ln(A)+20n-20n\\ln(A)=5.5455536\\A=256\\n=\frac{ln(360)-ln(256)}{5}\\n=0.068185[/tex]
The exponential equation that represents this situation is:
[tex]P(t)=256*e^{0.068185t}[/tex]
The population will double when P(t) = 512 bacteria:
[tex]512=256*e^{0.068185t}\\ln(2)=0.068185t\\t=10.17\ minutes[/tex]
To the nearest minute, it takes roughly 10 minutes for the population to double.
Please help, doing age word problems. Tysm if you do, really appreciated :D
Answer:
D (12, 21); B (11, 17); C (18,28); D (42); C (8).
Step-by-step explanation:
First:
Let I represent Isabel and M represent Marie.
We know that currently, Isabel is 9 years older than Marie, or:
I=9+M.
In three years, Isabel will be six years less than twice of Marie's age. In other words:
(I+3)= 2(M+3)-6
Now solve. Substitute I.
(9+M+3)=2M+6-6
12+M=2M
M=12; I=21. Marie is 12 while Isabel is 21.
Second:
Let I represent Isabel and M represent Marie.
Isabel is 6 years older than Marie; in other words: I=6+M
In 4 years, Isabel will be 9 years less than twice Marie's age. Or:
(I+4)=2(M+4)-9
Solve. Substitute I.
(6+M+4)=2(M+4)-9
10+M=2M+8-9
10+M=2M-1
11=M; I=17; Marie is 11 while Isabel is 17.
Third:
Let I represent Isabel and M represent Marie.
Isabel is 10 years older than Marie, or: I=10+M
In 2 years, twice Isabel's age is three times Marie's age. Or:
2(I+2)=3(M+2)
Solve. Substitute for I.
2(10+M+2)=3(M+2)
24+2M=3M+6
18=M; I=28. Marie is 18 while Isabel is 28.
Fourth:
Let M represent Mary and A represent Ann.
Mary is 3 time as old as Ann. Or: M=3A
7 years ago Mary was 5 times as old as Ann. In other words:
(M-7)=5(A-7)
Solve for this system. Substitute M.
(3A-7)=5A-35
-2A=-28
A=14; M=42; Mary is 42.
Fifth:
Let T represent Tammy and L represent Laurel.
We know that Tammy is 42 while Laurel is 9. In other words:
T=42 and L=9.
We need to find in how many years will 3 times Laurel's age be 1 more than Tammy's age. In other words, let's let y represent the amount of years. Thus:
3(L+y)=(T+y)+1
We already know L and T:
3(9+y)=(42+y)+1
27+3y=43+y
2y=16
y=8
In 8 years, when Laurel is 17 and Tammy is 50. (3 times 17 is 51, one more than 50).
Step-by-step explanation:
Problem 1 :Since we have the answers no need to write an equation and solve it
4 and 13 : substract 3 from each : 1 , 10 so Isabel is really 9 years older than Marie add 3 : 7 and 16 16+6 = 21 = 7*3 so that's rightthe answer is A
Problem 2 : 11 and 17 17 -11 = 6 so that's right add 4 to each : 17+4 = 21 11+4= 15 21+9 = 30= 15*2 so that's rightb is the answer
Problem 3 : 18 and 28 28-18= 10 so it's a good choice add 2 : 30 and 20 30*2= 60 and 20*3 = 60so that's true !C is the answer
Problem 4 : here i have a method let x be the age of Marie and y the age of Ann Mary is 3 times as old as Ann so : x = 3y 7 years ago Mary was 5 times as old as An so x-7 = 5(y-7) solve the equations and you'll get y= 14 so x = 3*y = 3*14= 42So the answer is D
Problem 5 : 42 + 8 = 50 and 8+9= 17 17*3 = 51 51-50 = 1 so the answer is 8 yearsThe answer is c