*check figure 1 for the diagram of the garden
Answer:
2,400 cm²
Step-by-step explanation:
The area of the garden has been decomposed into 3 rectangles, rectangles 1, 2, and 3 (see figure 2 in the attachment below).
To find the area of the garden, calculate the area of each of the 3 rectangles and sum them together.
Thus:
Rectangle 1:
Area = length × width = 20 × 20 = 400 cm²
Rectangle 2:
Area = length × width = 60 × 10 = 600 cm²
Rectangle 3:
Area = length × width = 70 × 20 = 1,400 cm²
✔️Area of the garden = 400 + 600 + 1,400 = 2,400 cm²
3. The area A of a triangle varies jointly as the base b and the altitude h of the triangle. If the area
of a triangle is 70 cm2 when the base is 14 cm and the altitude is 10 cm, find the area if the base is
8 cm and the altitude is 12 cm.
Answer:
48cm²
Step-by-step explanation:
If the area A of a triangle varies jointly as the base b and the altitude h of the triangle, this is expressed as;
A = kbh
k is the constant of proportionality
If A = 70cm², b = 14cm and h = 10cm
Substitute
70 = k(14)(10)
70 = 140k
k = 70/140
k = 0.5
To get the area if base is 8 cm and the altitude is 12 cm;
A = 0.5*8*12
A = 48cm²
Hence the required area is 48cm²
PLEASE ANSWER QUICK
George has 4 pounds of ham to make 16 sandwiches. He puts the same amount of ham on each sandwich. Which statement about George’s sandwiches is true?
Answer:
There is no photo
Step-by-step explanation:
I cant see the photo therefore I cant help
Answer:
Can u put the answer choices
Step-by-step explanation:
Please answer fast!!!!!!!!
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 30 percent as
much of its carbon-14 as compared to a living sample. How old is the fossil?
28,993 years
9,955 years
2,899 years
996 years
Answer:
Step-by-step explanation:
0.5^(t/5730) = 0.30
2^(-t/5730) = 0.30
-t/5730 = log₂0.30
t = -5730 log₂0.30 ≈ 9953 years
Which fractions are less than 1 2 ? Select all that apply. A. 1 3 B. 4 6 C. 2 5 D. 5 8 E. 7 12
Answer:
Explanation below
Step-by-step explanation:
1/2 =0.5
1/3 = 0.333
4/6 = 0.667
2/5 = 0.4
5/8 = 0.625
7/12 = 0.583
The fractions less than 1/2 are:
1/3 and 2/5. (A and C).
The graph of g(x) shown below resembles the graph of f(x) = x2, but it has
been reflected over the x-axis. Which is the equation of g(x)?
Answer:
A. g(x) = - x²
Step-by-step explanation:
f(x) reflex over x-axis: g(x) = - f(x)
Using translation concepts, it is found that the equation of g(x) is given by:
A. g(x) = -x².
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function f(x) = x² was reflected over the x-axis, that is, it was multiplied by -1, hence the equation for g(x) is given by:
g(x) = -f(x) = -x².
Which means that option A is correct.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ2
What is the equation of the linear function represented by the table?
O y=-X+9
O y=-x+ 13
O y=x+13
O Y = X+9
Answer:
y= -x+9
❤hope its helpful
THANK YOU.
can you help me please
Answer:
x = 2
Explanation:
according to BPT theorem,
BD BE
---- = ----
DA EC
6 x+1
--- = ----
4 x
6x = 4x +4 ( cross multiplication)
transposing,
6x -4x=4
2x= 4
x= 2
hence x=2
BE = x+1 =2+1 =3
EC = x =2
Find the mean of the first 7 odd prime number?
Answer: 75/7 or 10.71 (rounded)
Step-by-step explanation:
Mean = Average
To find the average you should add all the numbers together and then divide it by the amount of numbers.
In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]
----------------------------------------------------------------------------------------
The list of the first 7 odd prime numbers:
3, 5, 7, 11, 13, 17, 19
Now, add them together
3+5+7+11+13+17+19=75
Divide the sum by 7
75÷7=75/7=10.71 (rounded)
Hope this helps!! :)
Please let me know if you have any questions
Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of Cars, Inc. sales always follow a linear pattern. (Round to nearest whole number) Year Sales (in millions) 2008 240 2010 280 millions Enter the answer
Answer:
The estimated sales were $260 million
Step-by-step explanation:
Assume the endpoints of a segment are (x1,y1) and (x2,y2).
The midpoint (xm,ym) is calculated as follows:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:
[tex]\displaystyle x_m=\frac{2008+2010}{2}=2009[/tex]
[tex]\displaystyle y_m=\frac{240+280}{2}=260[/tex]
The estimated sales were $260 million
what is 6x^2-18x-3 simplified
Answer:
-6x-3
Step-by-step explanation:
Answer:
the ans is in the picture and how i got the ans thg hope it helps
(can i plz have brainlist it will make my day )
Step-by-step explanation:
what is the amount of 839k in thousands
Verify [(1+tanx)/sinx] - secx = cscx. Show your work and identities you used.
Answer:
let's start.
Step-by-step explanation:
[tex]\frac{(1+tanx)}{sinx} -secx = cscx\\[/tex]
we can write it as
[tex]\frac{(1 + tanx)}{sinx} = cscx + secx[/tex]
starting with left hand side
LHS
[tex]\frac{(1 + tanx)}{sinx}[/tex]
[tex]\frac{1}{sinx} + \frac{tanx}{sinx}\\\\cscx + tanx *\frac{1}{sinx}\\\\cscx + \frac{sinx}{cosx} *\frac{1}{sinx}\\\\cscx + \frac{1}{cosx}\\\\cscx + secx[/tex]
∴ LHS = RHS
hence, proved
Answer:
See below
Step-by-step explanation:
(1 + tanx)/sinx - secx = cscx1/ sinx + tanx/ sinx - 1/cosx = cscx1/ sinx + sinx/ cosx × 1/sinx - 1/ cos x = cscx1/ sinx + 1/cosx - 1/cosx = cscx1/ sinx = cscxcscx = cscxthe following relation is a function?
PLEASE HELP WILL GIVE BRAINLIEST OR THANKS
Answer:
(-2,5)
Step-by-step explanation:
D must be the same height (y) as A so y= 5
D must have the same x as C so x = -2
so D = (-2,5)
You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?
Answer:
30 that singular tickets for each friend and if your asking for total it would be 120. :)
Step-by-step explanation:
They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)
hope this helped
Elizabeth purchased a $20 bus pass. Each time she rides the bus $1.25 is deducted from the pass. What equation would represent this scenario? *
12 points
y= 1.25x - 20
y= -1.25x + 20
y= 20x - 1.25
y= 20x + 1.25
Answer:
Y = 1.25x - 20
Step-by-step explanation:
Everytime she rides the bus 1.25 is taken away from that 20.
The x = Every ride
For example
say she rode the bus 5 times so it would be
1.25 × 5 = 6.25 now you take the answer and subtract it from the 20
20 - 6.25 = 13.75
I hope this helped :)
What is the value of the missing angle ?
Answer:
30
Step-by-step explanation:
? = 180 - 150 = 30
Answer:
30°
Step-by-step explanation:
The line is 180 degrees so all you have to do is subtract 150° from 180°
You should end up with 30°
Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.
Write the ratio as a fraction in simplest form.
24 to 20
Answer:
6/5
Step-by-step explanation:
24/20 = 6/5
Answer: it would be 5/6
Step-by-step explanation:
24 and 20 are both divisible by 4 so you divide both by 4 and get 5 over 6. you can not simplify it anymore from that.
ANYONE GONNA HELP?????
Answer:
1. [tex]\frac{135}{360}[/tex]xπx[tex]11^{2}[/tex]=142.5cm
2a. [tex]x^{2}[/tex] +2x= x(x+2)
2b. [tex]2x^{2}[/tex]-6x= 2x(x-3)
2c. 15x-10[tex]x^{3}[/tex]= 5x(3x-2[tex]x^{2}[/tex])
2d. 9[tex]x^{2}[/tex]+3[tex]x^{3}[/tex]= 3[tex]x^{2}[/tex](3+x)
3a. (x+8) (x+2)
3b. (X+4) (x+3)
3c. (x+12) (x+1)
4a. 4522.145
4b. 278.15
5a. 14.3
5b. 43.19
Answer:more free points yay
Step-by-step explanation:
please helppp!! ill give brainliest <333
Answer:
a
Step-by-step explanation:
HELP ASAP ASAP ASAP PLS PLS JUST PLS
i hope my answer help you
1st=5x-100
2nd=1/3x-7
3rd=x²×4
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
Coordinates: (-3,8) (4,5) (2,-5)
Given:
The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).
To find:
The fourth vertex of the parallelogram.
Solution:
Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).
We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Two diagonals of ABCD are AC and BD.
Midpoint of AC = Midpoint of BD
[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]
[tex]4+a=-1[/tex]
[tex]a=-1-4[/tex]
[tex]a=-5[/tex]
And,
[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]
[tex]5+b=3[/tex]
[tex]b=3-5[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of fourth vertex are (-5,-2).
−4p+9=−5
Help a sister out plz
Answer: p=7/2=3.5
Step-by-step explanation:
Given
-4p+9=-5
Subtract 9 on both sides
-4p+9-9=-5-9
-4p=-14
Divide -4 on both sides
-4p/-4=-14/-4
p=7/2=3.5
Hope this helps!! :)
Please let me know if you have any questions
40 POINTS!!!!!!!! NEED HELP
Figure ABCD below is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Hello! I just did the test this is on
Step-by-step explanation:
Part A-
reflect the shape across x
then move 1 to the right and 4 units down
Part B- Yes
It is still the same shape as well as the same size
Which point does not belong with the other three?
(0,−3)
(0, 0)
(4,−3)
(4, 0)
Question 2
Explain your reasoning.
The point that does not belong is the only point that is
.
A square painting has an area of 81x^2 - 90x + 25. A second square painting has an area of 25x^2 + 30x + 9. Part A: What is an expression that represents the difference of the areas of the paintings? Show two different ways to find the solution.Part B: The paintings have areas of 1,600in^2 and 484in^2, respectively. A potential buyer went to an exhibition and argued that the value of xfor both paintings is the same. Is he right? Prove it.
Answer:
56x² - 120x + 16 ; (9x - 5)² - (5x - 3)²
x in both equations is 5
Step-by-step explanation:
Painting 1 : 81x^2 - 90x + 25
Painting 2 : 25x^2 + 30x + 9
Expression for the difference between the two paintings :
Painting 1 - painting 2
(81x^2 - 90x + 25) - (25x^2 + 30x + 9)
81x^2 - 90x + 25 - 25x^2 - 30x - 9
81x² - 25x² - 90x - 30x + 25 - 9
56x² - 120x + 16
2.)
81x^2 - 90x + 25 = 1600in²
25x^2 + 30x + 9 = 484 in²
Factorizing each equation :
81x^2 - 90x + 25 = 1600 in²
(9x - 5)^2 = 1600 in²
25x^2 + 30x + 9 = 484 in²
(5x - 3)^2 = 484
(9x - 5)² - (5x - 3)²
2.)
(9x - 5)^2 = 1600
Take square root of both sides
9x - 5 = 40
9x = 40 + 5
9x = 45
x = 45/9
x = 5
(5x - 3)^2 = 484
Take square root of both sides
5x - 3 = 22
5x = 22 + 3
5x = 25
x = 25/5
x = 5
Edin has £300 in his saving account. His bank offers him a fixed 5% intrest per annum ,for three years.How much interest will he have in three years
Answer:
£45
Step-by-step explanation:
Given data
P= £300
R=5%
T= 3 years
SI= PRT/100
substitute
SI= 300*5*3/100
SI=4500/100
SI= £45
Hence the interest is £45
Solve for x. 5 = 1/5x − 3
Enter your answer in the box.
x =
what is the equation of a vertical line that passes through the points (3,-5)
Answer: x = 3
I hope this helps you and im not to late
A camera has a listed price of $594.99 before tax. If the sales tax rate is 7.25% , find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$638.16
Step-by-step explanation:
594.99x7.25%=43.17
594.99+43.17=638.18