Answer:
total area = 217 m³
Step-by-step explanation:
area of the triangle
= 14 × 10
= 140 m²
area of a semicircle
= 1/2 × 22/7 × 7 × 7
= 77 m²
total area
= 140 + 77
= 217 m³
Which of the following values are in the range of the function graphed below? check all that apply.
A. 0
B. -4
C. 2
D. 1
E. -1
F. 4
Answer:
1
Step-by-step explanation:
The range is the output values
The only output value is y=1
The range is 1
y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
Laura opened a savings account with an initial deposit of $200. Each month she adds $50 to the account. Now she has $650.
a. Write an equation in slope intercept form that gives the total amount Laura has in her savings account after x months
b. How many months has Laura been putting money into the account? Explain your answer.
C. Laura's brother also opened a savings account with $200, but his monthly deposit is not the same as Laura's Describe the similarities and differences between the equation and graph describing the amount of money in Laura's account and the equation and graph describing the amount of money in her brother's account
Answer:
Laura has been adding $50 to her savings every month which means the equation would be 200 + 50 for each month that she has been adding to her saving account, Laura has been putting money in her saving for nine months since each month shes adding $50, The similiarties are that they both opened an account with $200 but the differences is that Laura has been adding $50 and Lauras brother has been adding a different amount as Laura.
Step-by-step explanation:
Which equation represents a line which is parallel to the x-axis?
Answer:
3?
Step-by-step explanation:
Which of the following is the equation of a line with the points (8, 3)(9, 5) and a slope of 2?
Answer:
y = 2x - 19
Step-by-step explanation:
Given the following data;
Points (x, y) = (8, 3) and (9, 5)
Slope = 2
To find the equation of line;
y - y1 = m(x - x1)
Where;
(x1, x2) = (8, 9)
(y1, y2) = (3, 5)
Substituting the value into the equation above;
y - 3 = 2(x - 8)
y - 3 = 2x - 16
y = 2x - 16 + 3
y = 2x - 19
HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|
Answer:
i think
all the numbers between
0 to 4.6
How many pounds are in 1
1⁄2 pounds and 8 ounces?
There are
pounds in 1 pounds and 8 ounces.
The solution is
n ID:
The number of pounds in \(1\frac{1}{2}\) pounds and and 8 ounces is 2 pounds.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
We know that 1 pound = 16 ounces.
As there are \(1\frac{1}{2}\) pounds=1.5×16= 24 ounces.
The total number of ounces in \(1\frac{1}{2}\) pounds and 8 ounces is
24+8
32 ounces.
Now let us convert Ounces to pounds.
we divide the number of ounces by 16.
Therefore, 32 ounces is equal to 32/16 = 2 pounds.
Hence, 2 pounds will be there in \(1\frac{1}{2}\) pounds and 8 ounces
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Pls help me for 30 pts quick
Please help answer it's easy it's 7th grade work I'll give you brainliest
just figure out the relationship between 3 and 12 and do the same thing to 2
so obviously, 3 x 4 is 12, so just multiply 2 by 4, which is 8.
x=8
Answer:
8
Step-by-step explanation:
2/3 = x/12
Numerator:
2×4=8
Denominator
3×4=12
What u do on the bottom you must do on the top
NO LINKS!!!
1. If each spinner is spun once, what is the probability that both spinners show the same color?
2. If each spinner is spun once, what is the probability of getting a red-blue combination?
Answer:
\(\sf 1. \quad \dfrac{3}{8}\)
\(\sf 2. \quad \dfrac{7}{24}\)
Step-by-step explanation:
Spinner 1Spinner 1 is divided into 6 congruent sections.
There are 3 red sections, 2 blue sections and 1 yellow section.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)
\(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)
Spinner 2Spinner 2 is divided into 3 sections of differing sizes.
The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)
\(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)
Question 1If each spinner is spun once, then:
The probability that both spinners both show red is:
\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)
The probability that both spinners both show blue is:
\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)
The probability that both spinners both show yellow is:
\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)
Therefore, the probability that both spinners show the same colour is:
\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)
Question 2If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:
\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)
The probability of getting a blue from spinner 1 and a red from spinner 2 is:
\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)
Therefore, the probability of getting a red-blue combination is:
\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)
Find the area of the following shapes.
Area = __ mm^2
Answer:
Formulae used:
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of blue shape:
Area of rectangle + area of triangle
= (9 × 15) + (1/2 × (15 - 9) × 15)
= 135 + (1/2 × 6 × 15)
= 135 + 45
= 180 mm²
Area of yellow shape:
area of rectangle AHPB + area of rectangle GFQP + area of rectangle EDCQ
= (4 × 12) + (6 × (12 - 9)) + (4 × 12)
= 48 + (6 × 3) + 48
= 48 + 18 + 48
= 114 m²
Find the
approximate height difference between the birdhouse
and the tree house. Is it greater than or less than the
approximate difference in height between the swing
set and the tree house? Round each mixed number to
the nearest whole number.
HELP???
The approximate height difference between the birdhouse and the tree house is 3 ft.
It is less than the approximate difference in height between the swing set and the tree house.
How to find the approximate height difference between the birdhouse and the tree house?A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.
We have:
height of birdhouse = 14\(\frac{9}{16}\) ft
height of tree house = 11\(\frac{13}{16}\) ft
Thus, the approximate height difference between the birdhouse and the tree house will be:
14\(\frac{9}{16}\) ft - 11\(\frac{13}{16}\) = 2\(\frac{3}{4}\) ft
= 2.75 ft
= 3 ft
To determine if it is greater than or less than the approximate difference in height between the swing set and the tree house, we have to find the approximate difference in height between the swing set and the tree house. That is:
height of swing set = 8\(\frac{1}{4}\) ft
height of tree house = 11\(\frac{13}{16}\) ft
difference = 11\(\frac{13}{16}\) - 8\(\frac{1}{4}\)
= 3\(\frac{1}{2}\)
= 3.5
= 4 ft
Therefore, it is less than the approximate difference in height between the swing set and the tree house
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Penelope goes out to lunch. The bill, before tax and tip, was $16.05. A sales tax of 3% was added on. Penelope tipped 18% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Answer:
2.98
Step-by-step explanation:
First find 3% of 16.05 which is 0.48.
Then add 0.48 to 16.05 which is 16.53.
Then multiply .18 by 16.53 which gets you 2.98
Hope it helps
Answer:
To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:
Sales tax = 0.03 x $16.05 = $0.48
To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:
Total bill = $16.05 + $0.48 = $16.53
To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:
Tip = 0.18 x $16.53 = $2.98
Rounding to the nearest cent, Penelope left a tip of $2.98.
Step-by-step explanation:
Question 5 (Fill-In-The-Blank Worth 5 points) (04.01 LC) The coordinates of point Aon a grid are (5.-3). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (5,_
Answer:
(2, -4) would be point b.
Step-by-step explanation:
This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis
Write an expression represented by the model. Then write the
decimal in standard form.
Answer:
1.23×10 if you observe carefully
Step-by-step explanation:
1.23 is a decimal number between 1.0 and 10.0 and so we have standard form of 123.000.000 as 1.23×10
Non Shaded Shaded
Area
Area
8
Find the radius
of the small circle
Answer:
The answer is 16pi or 50.3cm² to 1 d.p
Step-by-step explanation:
The non shaded=area of shaded
d=8
r=d/2=4
A=pir³
A=p1×4²
A=pi×16
A=16picm² or 50.3cm² to 1d.p
Answer:
3.45 cm (3 s.f.)
Step-by-step explanation:
We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.
To find the radius of a regular polygon given its side length, we can use this formula:
\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):
\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)
The formulas for the area of a regular polygon and the area of a circle given their radii are:
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)
Therefore, the area of the regular pentagon is:
\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)
The area of the circumcircle is:
\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)
The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.
The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.
Given the shaded area is equal to the unshaded area:
\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)
\(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)
Therefore, the radius of the small circle is 3.45 cm (3 s.f.).
oceanside bike rental shop charges 18 dollars plus 9 dollars an hour for renting a bike. sam paid 63 dollars to rent a bike. how many hours did he pay to have the bike?
Answer:
5 hours
Step-by-step explanation:
sam originally paid $18 hours but then had to pay 9 every 1 hour
18+9/1=?
sam paid 63 $ in total so
63-18= 45
45/9=5
What is the surface area of the triangular prism with the
given net?
un
12
10
Select one:
578 cm
720 cm
1152 cm
1440 cm
Answer:
576 cm²
Step-by-step explanation:
10x15=150
10x15=150
12x15=180
1/2x8x12=48
1/2x8x12=48
150+150+180+48+48=576
A hat costs $10.95 and a T-shirt costs $14.20. How much change will you receive if you pay for both items with a $50 bill?
Pls give a good explanation
Answer: $24.85
Step-by-step explanation:
10.95+14.20= 25.15
25.15+24.85= 50
Answer:
24.35
Step-by-step explanation:
Add 10.95 to 14.20:
10.95+14.20=25.15
Then subtract the answer 25.15 from 50
50-25.15=24.35
You are considering a certain telephone company. They charge S0.18 per minute of talking, plus a fixed base monthly fee of S70.If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C? Select the correct answer below
a) C = 0.18M + 70
b) M = 0.70C + 18
c) C = 0.70M + 18
d) M = 0.18C + 70
Answer:
a is the right answer
Step-by-step explanation:
please give 5 star i need it
pls help 20 points asap
Answer:
The probability of rolling a 3 in a 6 number dice is 1/6. Thereafter, p of rolling a non 3 is 5/6.
Alternatively, A number cube (dice) has six sides labelled 1 through 6. Hence, a fair dice has a probability of 1/6 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 1/6
Explaination:
Rolling two six-sided dice: Each dice has 6 equally likely outcomes, so the sample space is 6×6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2×2×2 or 8 equally likely outcomes.
A solid figure is composed of a cube and a right triangular
prism. The figure and some of its dimensions are shown in
this diagram.
- 8 cm
What is the volume of the figure?
A
6 cm
B
560 cubic centimeters
704 cubic centimeters
C 728 cubic centimeters
Answer:
Option B
Step-by-step explanation:
704 cubic centimeters
My little cuz need help can you help her please
Its Eight grade math
Solve the equation by using substitution
4x-2y=18
y=5x
Answer: x=-3 and y= -15
Step-by-step explanation: 1 Substitute y=5xy=5x into 4x-2y=184x−2y=18.
-6x=18
−6x=18
2 Solve for xx in -6x=18−6x=18.
x=-3
x=−3
3 Substitute x=-3x=−3 into y=5xy=5x.
y=-15
y=−15
4 Therefore,
\begin{aligned}&x=-3\\&y=-15\end{aligned}
x=−3
y=−15
Answer: The answer would be x=3 43- 35 =18
Find the coordinates of the point P(-9, - 7) after translating it 4 units right and 6 unit left.
Answer:
(-2, -8)
Step-by-step explanation:
The problem in the picture seems to be asking for 7 units right and 1 unit down.
Add 7 to x and subtract 1 from y
-9 + 7 = -2
-7 -1 = -8
A tank filled with water begins draining. The number of minutes t since the water began draining from the tank is a function of the number of gallons of water in the tank, v. We will call this function f so that f(t) = v.
Required:
a. Using function notation, represent the of gallons of water in me tank 4 minutes after the water darning from the Ink.
b. Suppose that f(4) = 7, what does this mean in the context of the problem?
Answer:
\((a)\ f(4) = v\)
(b) There are 7 gallons left in the tank after 4 minuted
Step-by-step explanation:
Given
\(f(t) = v\)
\(t \to\) time since water began draining
\(v \to\) gallons in the tank
Solving (a): Notation for gallons remaining at 4 minutes
This means that \(t=4\)
\(f(t) = v\) becomes
\(f(4) = v\)
Solving (b): Interpret f(4) = 7
We have:
\(f(t) = v\)
\(t \to\) time since water began draining
\(v \to\) gallons in the tank
This means that:
\(t =4\)
\(v =7\)
It can be interpreted as:
There are 7 gallons left in the tank after 4 minuted
Solve if x=11. X+44/2x A.55/22
B.33
C.c
D.13
Answer:
A.55/22
Step-by-step explanation:
Plug in 11 for x:
(x + 44)/2x
(11 + 44)/(2(11))
Combine the terms. Add 11 with 44, and multiply 2 with 11:
(11 + 44)/(2 * 11) = (55)/(22)
~
Find the scale factor of the figures. Then list all pairs of congruent angles.
DEFG∼PQRS
k=
9514 1404 393
Answer:
k = 1/3
∠D ≅ ∠P
∠E ≅ ∠Q
∠F ≅ ∠R
∠G ≅ ∠S
Step-by-step explanation:
The scale factor is the ratio of corresponding side lengths. It is convenient to choose one of the sides that has length 1.
k = QR/EF
k = 1/3
__
Corresponding angles are listed in the same order by the similarity statement.
∠D ≅ ∠P
∠E ≅ ∠Q
∠F ≅ ∠R
∠G ≅ ∠S
Absolute value functions have vertical line
symmetry.
_______
True
or
False
Answer:
True
Step-by-step explanation:
Solve the problem. Round the point estimate to the nearest thousandth. 32 randomly picked people were asked if they rented or owned their own home, 8 said they rented. Obtain a point estimate of the proportion of home owners.
a. 0.200
b. 0.750
c. 0.781
d. 0.250
e. None of the above
Answer:
B) 0.750
Step-by-step explanation:
Why is because the answer is 3/4 and 3/4 in decimal form is 0.750.
Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation
3x = 18.
Which of the following systems could have led to
this equation?
4x + y = 20
x - y = 2
x + y = 4
x - 2y = 10
2x + y = 24
- x - y = 6
3x + y = 18
-3x - y = - 18
Answer:
x + y = 4x - 2y = 10Step-by-step explanation:
You want to know which set of equations could be combined in such a way as to result in the equation 3x = 18.
Set 14x +y = 20x -y = 2To obtain a term of 3x, the second equation must be subtracted from the first. That will result in 3x +2y = 18, not the equation of interest.
Set 2x +y = 4x -2y = 10A term of 3x can be obtained by adding twice the first equation to the second:
2(x +y) +(x -2y) = 2(4) +(10)
3x = 18 . . . . . as required
Set 32x +y = 24-x -y = 6A term of 3x can be obtained by subtracting the second equation from the first. That will result in 3x +2y = 18, not the equation of interest.
Set 4These equations are dependent. The second is the opposite of the first. They have an infinite number of solutions, not the single solution of the system of equations of interest.