Answer:
[tex]p=4\sqrt{10}units[/tex]
[tex]A=6units[/tex] [tex]square[/tex]
Step-by-step explanation:
Given,
[tex]P\left ( -6,2 \right ),A\left ( -3,3 \right ),T\left ( 0,2 \right ),H\left ( -3,1 \right )[/tex]
Distance between two points
[tex]h=\sqrt{\left ( x_{1}-x_{2} \right )^{2}+\left ( y_{1} -y_{2}\right )^{2}}[/tex]
[tex]PA=\sqrt{\left ( -6+3 \right )^{2}+\left ( 2-3 \right )^{2}}[/tex]
[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]
[tex]AT=\sqrt{\left ( -3+0 \right )^{2}+\left ( 3-2 \right )^{2}}[/tex]
[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]
[tex]TH=\sqrt{\left ( 0+3 \right )^{2}+\left ( 2-1 \right )^{2}}[/tex]
[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]
[tex]HP=\sqrt{\left ( -3+6 \right )^{2}+\left ( 1-2 \right )^{2}}[/tex]
[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]
[tex]PA=AT=TH=HP[/tex] (i)
Length of diagonal
[tex]d_{1} =PT=\sqrt{\left ( -6+0 \right )^{2}+\left ( 2-2 \right )^{2}}[/tex]
[tex]=\sqrt{36+0}=6[/tex]
[tex]d_{2}=AH=\sqrt{\left ( -3+3 \right )^{2}+\left ( 3-1 \right )^{2}}[/tex]
[tex]=\sqrt{0+4}=2units[/tex]
Length of diagonals are not equal
[tex]d_{1} \neq d_{2}[/tex] (ii)
From above conditions this polygon is rhombus
Perimeter of rhombus =4×length of side
[tex]p=4\sqrt{10}units[/tex]
Area of rhombus
[tex]A=1/2\times d_{1}\times d_{2}[/tex]
[tex]a=1/2\times 6\times 2[/tex]
[tex]A=6units[/tex] [tex]square[/tex]
To answer the student's question, the identification of a polygon and its perimeter and area calculation depend on analyzing the given vertices, using the distance formula to calculate the perimeter, and appropriate area formulas related to the specific polygon identified.
Explanation:The student is asking about the identification of a polygon with four given vertices and the calculation of its perimeter and area. To identify the polygon, we need to analyze the given points P(−6,2), A(−3,3), T(0,2), and H(−3,1). By plotting these points and connecting them, we could determine the shape and properties of the polygon.
Once the polygon is identified, we can calculate the perimeter by finding the distance between each pair of consecutive vertices (sides of the polygon) and summing them up. The area can be found using the appropriate formula, which is dependent on the type of polygon we identify.
Without the explicit calculations included in the student's question, it is difficult to verify the exact answer among the choices presented. However, we can guide them to use the distance formula for the perimeter and, depending on the shape, utilize formulas such as for a rhombus or parallelogram to find the area. For example, the area of a parallelogram is the base times height, and for a rhombus, it can also be calculated as half the product of its diagonals.
Doris is going to take a 3-hour-6-minute flight from New York, New York, to
Houston, Texas, that leaves at 10:05 a.m. New York time. If New York is in the
eastern time zone and Houston is in the central time zone, what will be the
local time in Houston when the flight arrives?
Use the following to help you answer the question.
12:00 p.m. eastern time = 11:00 a.m. central time = 10:00 a.m. mountain
time = 9:00 a.m. Pacific time.
O
A. 1:11 p.m.
OB. 2:11 p.m.
O C. 11:11 a.m.
O
D. 12:11 p.m
Answer:
D. 12:11pm
(10:05am + 3hrs 6mins = 1:11pm - 1hr = 12:11pm)
Final answer:
After accounting for the flight duration of 3 hours and 6 minutes and the one-hour time difference due to the Central Standard Time Zone, Doris will arrive in Houston at 12:11 p.m. local time.
Explanation:
Doris is taking a flight from New York to Houston, and we need to calculate the local time of her arrival in Houston after a 3-hour-6-minute flight. To find the answer, we must account for the time zone difference and the duration of her flight. New York is in the Eastern Standard Time Zone, while Houston is in the Central Standard Time Zone, which is one hour behind New York.
Starting from a departure time of 10:05 a.m. in New York, we first add the flight duration which is 3 hours and 6 minutes. This gets us to 1:11 p.m. New York time. Since Houston is one hour behind New York, we subtract one hour from this time to get the local time in Houston, which will be 12:11 p.m.
The correct answer is D. 12:11 p.m. This is the time Doris will arrive in Houston, local time.
3. What is the correct factorization of x2 – 2x – 15?
Answer:
(x+3)(x−5)
Step-by-step explanation:
to factor, simply just think of what two numbers multiplied together would give you -15 but added together give you -2. since the produce is negative, you know one number is positive, and one is negative, and since the sum is also negative, you know that the larger root is negative
Hope this will help u..☝✌✌
Last month, the Nunez family spent $218.85 for 1,214 kilowatt hours of electricity. What is the unit rate per kilowatt hour?
Answer:
$.18 per kilowatt hour
Step-by-step explanation:
To find the rate per kilowatt hour
Take the price and divide by the kilowatt hours
218.85/1214
.180271829
Since this is money,we round to the nearest cent
$.18 per kilowatt hour
Quadrilateral ERGF is inscribed in a circle Find the measure of angle E (Remember to show formulas equations and numbers in those formulasequations receive creditAlso, make sure to include units on your answer ) R - 2 + 6x G EK 7x - 13
The measure of angle E is 75°.
Solution:
Given data:
∠E = 5x, ∠F = 7x – 13 and ∠R = –2 + 6x
A quadrilateral inscribed in a circle is called cyclic quadrilateral.
∠R and ∠G are opposite angles in a cyclic quadrilateral.
In cyclic quadrilateral, opposite angles are supplementary.
⇒ m∠R + m∠F = 180
⇒ –2 + 6x + 7x – 13 = 180
⇒ 13x – 15 = 180
Add 15 from both sides of the equation, we get
⇒ 13x = 195
Divide by 13 from both sides of the equation, we get
⇒ x = 15
To find the measure of angle E:
m∠E = 5x
m∠E = 5(15)
m∠E = 75
The measure of angle E is 75°.
Which is the equation of the function?
f(x) = 3|x| + 1
f(x) = 3|x – 1|
f(x) = |x| + 1
f(x) = |x – 1|
Answer:
the answer is d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
solve the system of equations -x-y=-4 and -2x+4y by combining the equation
Answer:
×=8/3 and y=4/3
Step-by-step explanation:
-x-y=-4
-2x+4y=0
-2x=-4y
x=2y
so -2y-y= -4 and x= 2•4/3
-3y=-4 x=8/3
y=4/3
Two linear functions are combined with addition, and then the same two linear functions are combined by multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x? - 96x
72x2 - 108
72x2 - 204x + 144
Adding two linear functions results in a linear function, which could be represented as '16 x - 12' or '17 x - 12'. Multiplying two linear functions results in a quadratic function, which could be represented as '72 x² - 204 x + 144'.
Explanation:In this scenario, when the two linear functions are being combined by addition and multiplication, it results in an expression that could be either linear or quadratic. When you add two linear functions together: f(x) = ax + b and g(x) = cx + d, the result is also a linear function: h(x) = (a+c)x + (b+d). Therefore, both 16 x - 12 and 17 x - 12 could be the result of an addition of two linear functions.
However, when you multiply two linear functions, you get a quadratic function: i(x) = (ax + b)(cx + d) = acx^2 + (ad+bc)x + bd. So 72 x² - 204 x + 144 could be the result of a multiplication of two linear functions.
Learn more about Combining Functions here:https://brainly.com/question/33551477
#SPJ3
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Volume of Prisms & Pyramids Practice
Find the volume of each figure. Be sure to include the units, and circle or box your answers.
1)
4 in
2)
12 m
10 m
2 in
2 in
2 in
2 in
3)
4 ft
4)
10 yd
8 yd
6 yd
8m
6m
9 yd
5 ft
12 ft
5)
11 m
6)
4 ft
12 ft
12 ft
4 ft
2 ft
10 m
4m
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Worksheet by Kuta Software LLC
7)
7 ft
8)
8 m
3m
4m
9)
12 in
9 in
9 in
10)
11 mi
8 ft
6 ft
5m
10 ft
12 in
12 in
11)
12)
6 mi 6 mi
8 mi
8 mi
10 in
10 in
3 in
7 in
5 mi
6 mi
3 in
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6 mi
Worksheet by Kuta Software LLC
(24y + 2x)divide(1/4z
Answer:
96y/z + 8x/z
Step-by-step explanation:
hope this helped
What is the slope of a line perpendicular to the line whose equation is y= 2x + 5?
slope = -1
Slope = -1/2
slope = -2
Answer:
The slope is -1/2 which is Option B
Step-by-step explanation:
A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.
Example: Find the line perpendicular to y = 3x
First, you flip the sign which makes 3 into -3
Next, you make the reciprocal which makes -3 into -1/3
Problem: Find the line perpendicular to y= 2x + 5
First, you flip the sign which makes 2 into -2
Next, you make the reciprocal which makes -2 into -1/2
Answer: The slope is -1/2 which is Option B
The slope of a perpendicular line is the opposite reciprocal of the slope of the original line.
Opposite → -2
Reciprocal → -1/2
Therefore, the answer is -1/2
Best of Luck!
Wendy already owns 4 necklaces, and additional necklaces are priced at 1 for a dollar. How
much money does Wendy need to spend on new necklaces in order to own a total of 26
necklaces?
Answer:
$22
Step-by-step explanation:
If she wants to own 26 necklaces. You take that number and subtract the four she already owns, leaving you with 22.
Answer:
She needs to spend $22.
Step-by-step explanation:
She has 4 necklaces. In order to have 26, she needs to buy more necklaces. How many does she need to buy?
We subtract 4 from 26.
26 - 4 = 22
She needs to buy 22 necklaces to have a total of 26 necklaces.
Each necklace costs $1.
22 necklaces cost 22 times $1.
22 * $1 = $22
Answer: She needs to spend $22.
During halftime of a football game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 4 feet with an initial upward velocity of 80 feet per second. The T-shirt is caught 35 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time?
It takes 2 seconds to reach a maximum height of 69 feet, and the range is [5, 69].
The equation is of the form
h(t) = -16t² + v₀t + h₀, where -16 is the gravitational constant, v₀ is the initial velocity, and h₀ is the initial height. Using the values from our problem, we have:
h(t) = -16t² + 64t + 5
To find the maximum height, we find the vertex. The first step in this is to find the axis of symmetry, which is given by -b/2a:
-64/2(-16) = -64/-32 = 2
This is our value for t, so it takes 2 seconds to reach the maximum. Substituting this into our function, we have
h(2) = -16(2²) + 64(2) + 5 = -64 + 128 + 5 = 64 + 5 = 69
This is the maximum height.
The range of heights goes from 5 to 69, inclusive, or [5, 69].
The T-Shirt reaches its maximum height of 104 feet at 2.5 seconds. The range of the height over time is from 4 feet to 104 feet.
To analyze the projectile motion of the T-Shirt, we'll use the kinematic equations. The height h(t) at any time t can be modeled by the equation:
h(t) = -16t2 + v0t + h0
where:
h(t) is the height at time tv0 is the initial velocity (80 ft/s)h0 is the initial height (4 ft)1. Time to reach maximum height:
To find the time to reach maximum height, we use the formula for the time at which the velocity becomes zero:
t = v0 / g
t = 80 ft/s / 32 ft/s2 = 2.5 s
2. Maximum height:
Now, substituting t = 2.5 s into the height equation, we get:
h(2.5) = -16(2.5)2 + 80(2.5) + 4
h(2.5) = -100 + 200 + 4 = 104 feet
3. Range of the height function:
The T-Shirt starts at 4 feet, reaches a maximum of 104 feet, and is caught at 35 feet. Hence, the range of the height function is [4, 104] feet.
8(4x + 6) what is the answer
Answer:
32x+48
Step-by-step explanation:
All that is needed to be done here is to multiply each digit inside the bracket by 8. We can even expand it to make it simpler to understand.
8(4x)+8(6)
8(4x)=32x
8(6)=48
We therefore have as our answer
32x+48
explanation needed tip by using chain rule
Answer:
1/(810pi) cm/s
Step-by-step explanation:
V = pi×r²×h = pi×90²×h = 8100pi×h
dh/dt = dh/dV × dV/dt
dV/dh = 8100pi
dV/dt = 10
dh/dt = (1/8100pi) × 10
= 1/(810pi) cm/s
Which expressions are equivalent to 7⋅7⋅7⋅7⋅7⋅7
SELECT 2 Answers
It's FROM KHAN academy
Answer:
7^6
and
7⋅7⋅7⋅7⋅7⋅7/1
Step-by-step explanation:
Hope this helps! It would be better for me to see the selections though.
Answer:
A - 7^8/7^2
C - (7^2)^3
Step-by-step explanation:
So there's a question exactly like this on khan, so here's the khan answer
Don't worry I tested it
4x−4<8 AND 9x+5>23 Solve for X.
Hope this will help u...☝✌✌✌✌
Jared made 12 3/4 cups of snack mix for a party.His guests eat 2/3 of the mix.How manysnack mix did his guest eat?
Answer:
The number of snacks did Jared's guest eat is [tex]12\frac{1}{12}[/tex]Step-by-step explanation:
Given that Jared made [tex]12\frac{3}{4}[/tex] cups of snack mix for a party.
Let x be the cups of snacks mix made by Jared.
Therefore [tex]x=12\frac{3}{4}[/tex]
His guests eat [tex]\frac{2}{3}[/tex] of the mix.
Let y be the guest eated snacks mix
Therefore [tex]y=\frac{2}{3}[/tex]
To find how many snack mix did his guest eat :Let z be the number of snacks did Jared's guest eat
Therefore z=x-y
[tex]z=12\frac{3}{4}-\frac{2}{3}[/tex]
[tex]=\frac{51}{4}-\frac{2}{3}[/tex]
[tex]=\frac{51(3)-2(4)}{4\times 3}[/tex]
[tex]=\frac{153-8}{12}[/tex]
[tex]=\frac{145}{12}[/tex]
[tex]=12\frac{1}{12}[/tex]
Therefore [tex]z=12\frac{1}{12}[/tex]
Therefore the number of snacks did Jared's guest eat is [tex]12\frac{1}{12}[/tex]Find the value of x to the nearest tenth! Help ASAP
The value of x is 10.
Solution:
Given triangle is a right triangle.
θ = 50°, adjacent side = 6, hypotenuse = x
The value of cos 50° = 0.6
Using trigonometric ratio formulas,
[tex]$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}[/tex]
[tex]$\cos50^\circ=\frac{6}{x}[/tex]
[tex]$0.6=\frac{6}{x}[/tex]
Do cross multiplication, we get
[tex]x\times 0.6=6[/tex]
Divide by 0.6 on both sides, we get
[tex]$\frac{x\times 0.6}{0.6}=\frac{6}{0.6}[/tex]
x = 10
The value of x is 10.
PAGE 11
3) Solve for x: 1/2(4x+6)=-5x+24.7
A x=3.1
B x=3
C x=7
D x=-7.23
Answer:
A x=3.1
Step-by-step explanation:
1/2(4x+6)=-5x+24.7
Multiply each side by 2 to get rid of the fraction
2*1/2(4x+6)=2(-5x+24.7)
4x+6 = -10x +49.4
Add 10x to each side
4x+6+10x=-10x+10x+49.4
14x +6 = 49.4
Subtract 6 from each side
14x+6-6 = 49.4-6
14x = 43.4
Divide each side by 14
14x/14 = 43.4/14
x = 3.1
In a club there is 13 women and 8 men. A committee of 9 women and 4 men is to be chosen. How many different ways are there to select the committee?
A. 50,050 ways
B. 3,744 ways
C. 273 ways
D. 34 ways
Final answer:
To find the number of ways to form a committee of 9 women and 4 men from a group of 13 women and 8 men, calculate the combinations separately for women and men, and multiply them together. The answer is 50,050 ways. So the correct option is A.
Explanation:
The question involves calculating the number of ways to choose a committee consisting of 9 women from a group of 13 women, and 4 men from a group of 8 men. This is a problem that requires knowledge of combinations, a concept in probability and statistics.
Step-by-step solution:
Calculate the number of ways to choose 9 women out of 13, which is given by the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items to choose from, k is the number of items to choose, and ! denotes factorial. For the women, C(13, 9) must be calculated.Calculate the number of ways to choose 4 men out of 8, using the same formula. This will be C(8, 4).Multiply the two results to get the total number of ways to form the committee, since the selections of women and men are independent events.Now, using the combination formula:
C(13, 9) = 13! / (9! × (13-9)!) = 13! / (9! × 4!)C(8, 4) = 8! / (4! × (8-4)!) = 8! / (4! × 4!)Therefore, the total number of ways to select the committee = C(13, 9) × C(8, 4).After calculating, we find that the number of ways to form the committee is 50,050, which corresponds to option (A).
$300 invested at 12% compounded monthly after a period of 1.5 years
Answer: $358.8 to the nearest tenth
Step-by-step explanation:
Compound interest is calculated by Where: A = P(1 + r)t
Where P= 300, r= 12% = 0.12, t= 1.5 years
Slot in the figures
300 (1 + 0.12) 1.5
300 (1.12) 1.5
300x 1.12
336e1.12
A = $ 358.84
2. The 120 sixth graders are going on a
field trip to the museum. The museum
requests a ratio of students to adult
chaperones of 8:1. How many adult
chaperones will be needed?
Answer:
15 chaperones
Step-by-step explanation:
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
1. -2, -1, -i
2. 4, -√5, -5
Answer:
y=(x^2 -1)(x^2 +1)(x^2 -4)(x^2 -5)(x +5)(x -4)
sry, but i didn't want to multiply it out. T-T
Two farmers bought a truck. The first farmer paid 4/5 of the price, and the second paid the rest. The first farmer's share was
$9,600. What was the total price of the truck?
A $10,000
B
$12,000
C
$20,000
D
$25,000
Next >>
C) $12,000
Step-by-step explanation:4/5 = 9600
÷4
1/5 = 2400
4/5 + 1/5 = 5/5 = the whole price
9600 + 2400 = 12000
=$12,000
Part B: If Taylor and Miley both
work for 2 weeks, how much more
will Taylor earn?
Answer: $661.50
Step-by-step explanation:
Taylor makes $771.25 per week and makes twice that much in two weeks.
2×771.25=2(700+70+1+0.25)=1400+140+2+0.50
So Taylor makes $1542.50 in two weeks.
Miley makes $440.50 per week and so will make $881 in two weeks. Since
1542.50−881=742.50−81=741.50−80=701.50−40=661.50
We know that Taylor will make $661.50 more than Miley in two weeks.
Hope this helps!
The measure of 2 ACD is 147º and the measure of Z BAC is 29º. What is the measure of Z ABC?
(not drawn to scale)
Answer:
Answer is option c) 118 degrees
Step-by-step explanation:
[tex]the \: exterior \: angle \: is \: equal \: to \: the \: \\ sum \: of \: the \: opposite \: interior \: angles \\ by \: using \: this \: concept \: \: we \: find \: that \\ angle \: abc \: is \: 118 \: degrees.[/tex]
If you have any doubts see the image. or write in comments box.
HAVE A NICE DAY !
Help, give me the answers for 1 through 14... (100 points)
Answer:
can you reupload the photo? so I can help.
Step-by-step explanation:
Answer:
Note that for graph, Y = mx + c, where m = slope of graph and c = y-intersect
1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4 ∴ m = -3/4 , c = 4
2) equation of line: y = [tex]\frac{3}{2} x[/tex] + 3 m = 3/2 , c = 3
3) equation of line: y = [tex]-\frac{2}{5} x[/tex] - 2 m = -2/5 , c = -2
4) equation of line: y = [tex]\frac{1}{2} x[/tex] + 3 m = 1/2 , c = 3
5) equation of line: y = -x + 2 m = -1 , c = 2
6) equation of line: y = [tex]-\frac{5}{2} x[/tex] - 1 m = -5/2 , c = -1
Step-by-step explanation:
For each of the line equations, "m" is the slope which is also dy/dx. Also the intersect "c" is on the y axis(Vertical line).
For each equation, assume a number for 'x' then solve for y.... you will be able to get coordinates (x,y) for each graph.
Using 1) as example:
1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4 ∴ m = -3/4 , c = 4
at intersection 'c', y = 4, when x = 0
∴ y = -3/4 (1) + 4 = [tex]3\frac{1}{4}[/tex]
repeat for x = 2, 3, 4, 5, 6
Do same for equation line 2, 3, 4, 5, 6 to get coordinates to plot each graph
A bake sale earns 80$ from selling 50 brownies. Each brownie cost the same amount. How much was 1 brownie?
Answer:
cost of one brownie is $1.60
Step-by-step explanation:
Cost of one brownie$80 from selling 50 brownies
we can create a ratio
80 : 50
x : 1
we can use cross multiplication to solve this:
80 = 50x
80/50 = x
x = $1.60
cost of one brownie is $1.60Help with any please!
Answer:
1. A
2. 128°
3. 112°
4. 20°
5. 125°
6. 35°
7. 158°
8. 140°
9. B
10. C
What ratio is equivalent to 2/8
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2}{8}=\dfrac{2\div2}{8\div2}=\boxed{\bf{\dfrac{1}{4}}}}}[/tex]
[tex]\mathsf{Rewrite\ \dfrac{1}{4}\ as\ ratio\ and\ that\ will\ be\ your\ answer!}[/tex]
[tex]\mathsf{\dfrac{1}{4}=\bf{1:4}}[/tex]
[tex]\boxed{\boxed{\bf{Your\ answer: \boxed{\huge\text{\bf{1:4}}}}}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]