Answer:
20
Step-by-step explanation:
a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x - 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.
Answer:
The area of flower bed is 8.96 m^2.
Step-by-step explanation:
Length of lawn = 6 x
width of lawn = x
length of flower bed = x + 4
width of flower bed = x - 1
Area of shaded region = 40 m^2
Area of the shaded region
6 x (x) - (x +4)(x -1) = 40
[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]
As length cannot have negative value, so x = 2.4 m.
Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2
Helen draws a random circle
she then measures it diameter
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
the sum of 43.9 and 4 groups of a number
Answer:
10.975+10.975+10.975+10.975
Step-by-step explanation:
what equation do I use to find the apothem?
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Help me I don't know any
Answer:
25%
Step-by-step explanation:
(a)
We need to express in percent 8 as a percent of 32.
We have,
Numerator = 8
Denominator = 32
Percent,
[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]
Hence, the required percentage is 25%.
It takes Amir 30 minutes to walk to work. If he drives, it takes him 1/3 of that time. What is the latest time that Amir can leave to drive to work and arrive by 9:00 am
Anca rolls two number cubes labelled 3 to 8. She adds the numbers that show on the cubes. List the possible outcomes. b) What is the probability of getting '13'? c) What is the probability of getting '21'? d) What result should occur the most?
Answer:
Find the theoretical probability that you will choose each color. P(green) = ___/___ ... 98% or 100%. 3. Bailey uses the results from an experiment to calculate the probability of each color of block being chosen from a bucket. He ... If the sum of the two number cubes in even, Player 1 (or) 2 scores a point.
Step-by-step explanation:
!!!!!!!!!PLEASE HELP!!!!!!!!
58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40
Answer:
$1.44
Step-by-step explanation:
Tax is a compulsory sum levied by the government. it increases the price of the good
tax paid = tax rate x price of the book
18 x 8%
18 x 0.08 = $1.44
you can use the expression 5n to determine the amount of money you have in cents, when you have n nickels. Find the amount of money you have, in cents, when you have 18 nickels
Answer:
90 cents
Step-by-step explanation:
Find how much money you have by plugging in 18 as n into the expression:
5n
5(18)
Multiply:
= 90
So, when you have 18 nickels, you have 90 cents
if f(x) = 2X -5 and g(x)=x^2-8 find (f+g)(x)
Answer:
im not dure
Step-by-step explanation:
In a certain arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?
Answer:
a₁₅₇ = 1,088
Step-by-step explanation:
aₙ = a₁ + d(n-1); where 'd' if common difference
a₁₅₇ = -4 + 7(156)
= -4 + 1092
= 1,088
Answer:
157 is the 24th term
Step-by-step explanation:
The formula for arithmetic sequences is an=a1+(n-1)d,
where an is the nth term, a1 is the first term, n is the term position, and d is the common difference
First, we need to find the common difference using the 10.
Since it's the third term, we have 10=-4+(3-1)d
Solving for d gives us d=7
Next, we need to find the term number of 157
Thus, we have 157=-4+(n-1)*7
Solving for n gives us n=24
We can check it like this: Following order of operations (i.e. PEMDAS) gives us 24-1=23*7=161-4=157
Help me this is due soon
Answer:
It's (-1.5,-5.5)
Step-by-step explanation:
Answer:
-1.5 , -5.5
Step-by-step explanation:
Select the correct answer.
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many
triangles can you construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many
Answer:The answer is B
Step-by-step explanation:
Find the range and the interquartile range of the given data set.
2, 4, 7, 8, 16, 19, 21
Figure 2 was constructed using figure 1. For the transformation to be defined as a rotation, which statements must be true? Selext three options.
Answer:
The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).
The transformation is rigid.
Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.
If figure 1 is located 360° about point C, it will be mapped onto itself.
Step-by-step explanation:
Where would the last point need to be in order to finish graphing a square using the points (1, 3), (5, 3), and (5, 7)?
A. (1, 5)
B.(5, 1)
C.(3, 7)
D.(1, 7)
which of these points lies on the circle with center (2 3) and radius 2
A. (4,3)
B. (3,4)
C. (-1,0)
D. (1,3)
Answer:
A. 4,3
Step-by-step explanation:
that's it thanks brainliest please
Answer:
A) (4,3)
Step-by-step explanation:
Two amounts of money are in the ratio 8:3 if the second amount is 4.05,what is the value if the first amount?
Answer: 10.75 currency units
Step-by-step explanation:
The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.
Use direct proportion to solve:
8 : 3
x ; 4.03
Cross multiply to get:
3x = 32.24
x = 32.24 / 3
x = 10.75 currency units
Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle ABC from its original location to coincide with each of the other triangles? Specify how triangle ABC moves up, down, left, or right.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the diagram of coordinates of the three triangles are not given.
A general explanation is as follows:
First, record the coordinates of the corresponding points of the three triangles.
For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.
Now, assume the coordinates are:
[tex]A = (1,1)[/tex]
[tex]D = (1,5)[/tex]
[tex]G= (-2,1)[/tex]
Point D is 4 points to the right of A;
i.e.
[tex]D =(1,1+4) = (1,5)[/tex]
Hence, ABC will be moved 4 units right to lie on DEF
Similarly, point G is 3 units down of A
i.e.
[tex]G =(1-3,1) = (-2,1)[/tex]
Hence, ABC will be moved 3 units down to lie on GHI.
For the equation y=2x + 6, find the value of y when
(a) x= 0 (b) x= 1
(c) x=2 (d) x=3
WITH CALCULATION AND EXPLANATION PLEASE.FULL CALCULATION
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \mathrm{ \underbrace{Answer}}[/tex]
The given equation is :
[tex] \huge \boxed{ y = 2x + 6 }[/tex]
Now, let's solve for each value of "x"
[tex]\mathrm {\hookrightarrow \:1. \: \: when \: \: x = 0}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 0) + 6[/tex][tex]y = 6[/tex][tex]\mathrm{\hookrightarrow 2.\: \: when \: \: x = 1}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 1) + 6[/tex][tex]y = 2 + 6[/tex][tex]y = 8[/tex][tex]\mathrm {\hookrightarrow \: 3. \: \: when \: \: x = 2}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 2) + 6[/tex][tex]y = 4 + 6[/tex][tex]y = 10[/tex][tex]\mathrm{\hookrightarrow \: 4. \: \: when \: \: x = 3}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 3) + 6[/tex][tex]y = 6 + 6[/tex][tex]y = 12[/tex][tex] \mathrm{✌TeeNForeveR✌}[/tex]
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Equation = [tex]\large\bold{y = 2x + 6}[/tex]
a) [tex]x = 0[/tex]
Substitute the value of x as 0 in the equation.
[tex]y = 2x + 6 \\ y = 2(0) + 6 \\ y = 0 + 6 \\ y = 6[/tex]
✐ Answer of a) is [tex]\large\bold{y = 6}[/tex]
____________________
b) [tex]x = 1[/tex]
Substitute the value of x as 1 in the equation.
[tex]y = 2x + 6 \\ y = 2(1) + 6 \\ y = 2 + 6 \\ y = 8[/tex]
✐ Answer of b) is [tex]\large\bold{y = 8}[/tex]
____________________
c) [tex]x = 2[/tex]
Substitute the value of x as 2 in the equation.
[tex]y = 2x + 6 \\ y = 2(2) + 6 \\ y = 4 + 6 \\ y = 10[/tex]
✐ Answer of b) is [tex]\large\bold{y = 10}[/tex]
____________________
d) [tex]x = 3[/tex]
Substitute the value of x as 3 in the equation.
[tex]y = 2x + 6 \\ y = 2(3) + 6 \\ y = 6 + 6 \\ y = 12[/tex]
✐ Answer of d) is [tex]\large\bold{y = 12}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
12.4 in
3.1 in
16.7 in
11.2 in
Answer:
3.1 in
Step-by-step explanation:
a² + b² =c²
12=c
11.6=b
c²- b² = a²
12²-11.6²= 9.44
√9.44 = 3.07 Rounded = 3.1 in
If 0(0,0), B(5,0) and C(5,5) are three points. Prove that
OB=OC.
Step-by-step explanation:
you must have written something wrong.
because given that information OB is not equal to OC.
but for example, OB = BC.
the distance of OB is (5,0) - (0,0) = (5-0,0-0) = (5,0) =
= sqrt(5² + 0²) = sqrt(25) = 5
the distance of OC is (5,5)-(0,0) = (5-0,5-0) = (5,5) =
= sqrt(5² + 5²) = sqrt(50) = 5×sqrt(2)
so, OB is NOT the same as OC.
but BC is (5,5)-(5,0) = (5-5,5-0) = (0,5) = sqrt(0² + 5²) =
= sqrt(25) = 5
Select elther relation (If the set is a relation but not a function), function (If the set is both a relation and a function), or
neither (If the set is not a relation).
F=[(x, y) |x+y=10)
A. neither
B. Function
C. Relation
Answer:
B
Step-by-step explanation:
The given set F=[(x, y) |x+y=10) is a function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The set F represents a relation since it contains ordered pairs of elements. Specifically, it contains all pairs (x, y) such that x+y=10.
For example, (2, 8) and (5, 5) are elements of F since 2+8=10 and 5+5=10.
However, it is not necessarily a function since it is possible for two different x values to have the same y value, which would violate the vertical line test for functions.
For example, both (2, 8) and (8, 2) are in F since 2+8=10 and 8+2=10.
Hence, the given set F=[(x, y) |x+y=10) is a function.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ7
A city has 18 radio stations, including 4 college radio stations.
What is the probability that a randomly chosen radio station in this city is a college radio
station?
Write your answer as a fraction or whole number.
Answer:
2/9
Step-by-step explanation:
P=4/18=2/9
what is 2/3 of 4 hours and 30 minutes?
Alex bought 2 printer cartridges for $28 each and a printer for $85. He gave the cashier $150. How much change should Alex have received from the cashier?
Answer:
$9 in change
Step-by-step explanation:
Find the total cost of his purchases:
28 + 28 + 85
= 141
Find how much change he received by subtracting this from 150:
150 - 141
= 9
So, he should have received $9 in change
What is the solution to the system of linear equations?
Step-by-step explanation:
is connected to graph before u learn this u must know your graph
At a football game, the ratio of men to women is 4:1 There are 9,000 people in total, and each ticket costs £10 Calculate the amount of money made from tickets sold to men. Remember to include units ( £ ) in your answer.
Answer:
£72000
Step-by-step explanation:
According to the Question,
Given, At a football game, the ratio of men to women is 4:1 & There are 9,000 people in totalThus, 5 ⇒ 9000 People
So, 4 ⇒ 7200 People(Men)
1 ⇒ 1800 People(Women)
And, each ticket costs £10Thus, The amount of money made from tickets sold to men is 7200 total Men x £10 Per Ticket Cost ⇒ £72000.
Round 31.24 to 1 decimal place
Round 5.275 to 2 decimal place
Round 0.56489 to 3 decimal place
Answer:
1. 31.2
2. 5.28
3. 0.565
Step-by-step explanation:
Remember if the number is 1-4 round down and if the number is 5-9 round up.
Hope this is helpful
#happylearning