Answer: 24.6
Step-by-step explanation:
in danville the library is due south of the courthouse and due wesr of the community swimming pool. if the distance between the library and the countries is 3.9 kilometers and the distance between the courthouse and the city pool is 4.4 kilometers, how far is the library fron the community pool? round to the nearest tenth if necessary. (this is pythagorean theorem btw)
Answer: 2 kilometers.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle, the longest side (in this case the distance between the courthouse and the city pool) and a and b are the other sides.
Replacing with the values given:
4.4^2 = 3.9^2 + b^2
19.36 = 15.21+b^2
19.36-15.21 = b^2
4.15 = b^2
√4.15 = b
b=2 km
Feel free to ask for more if needed or if you did not understand something.
EXERCISE 2 (4
expresss the following in exponential form (ii) 3/8×3/8×3/8×3/8×38
Answer:
3/8^4*38
Step-by-step explanation:
if the ratio of the radii of 2 circles is 3:4 what is the ratio of their areas?
3:4
6:8
9:16
27:64
Answer:
9:16
Step-by-step explanation:
3^2:4^2=9:16
I hope this helped and have a good rest of your day!
Find the volume of the rectangular pyramid below.
Answer:
4800m³
Step-by-step explanation:
V=[tex]\frac{lwh}{3}[/tex]=[tex]\frac{(30)(24)(20)}{3}[/tex] =4800
A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.
Item 5
A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.
Answer:
the probability is 1/80
Step-by-step explanation:
Readmore at : https://brainly.com/question/3325543
Answer:
the probability is 1/80
Step-by-step explanation:
Please give brainliest
Approximate the real zeros of /(x) = x2 + 3x + 2 to the nearest tenth.
2.1
b.
1.0
-2.-1
a.
0.-1
d.
Answer:
x = - 2, x = - 1
Step-by-step explanation:
Given
f(x) = x² + 3x + 2
To find the zeros let f(x) = 0, that is
x² + 3x + 2 = 0
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)
The factors are + 2 and + 1, since
2 × 1 = 2 and 2 + 1 = 3, thus
(x + 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 1 = 0 ⇒ x = - 1
Answer:
Real Zeros: -1, -2
Step-by-step explanation:
[tex]x^{2} +3x+2=0\\[/tex]
Plug into quadratic equation formula:
[tex]\frac{-3+\sqrt{3^{2}-4ac} }{2(1)}= -1 \\\frac{-3-\sqrt{3^{2}-4ac} }{2(1)}= -2[/tex]
Hope this helped!
Simplify: 3x – 5 + 23x – 9
a. 2(14x -6)
b. 3x(13x-6)
c. 2(13x -7)
d. 3x(13x - 5)
Step-by-step explanation:
3x-5+23x-9
26x-5-9=26x-14
2(13x-7)
Answer :
C
Step-by-step explanation:
(a+b)(a-b) = a² - b² a( b + c) = ab + ac a (b - c) = ab - ac a( b + c) + d( b + c) = (a + d) (b + c)3x – 5 + 23x – 9 = 26x - 14
2 . 13x = 26x
2. -7 = -14
2 ( 13x -7) so answer is C
or another way :
a. 2(14x -6) = 28x - 12
b. 3x(13x-6) = 39x² - 18x
c. 2(13x -7) = 26x - 14
d. 3x(13x - 5) = 39x² -15x
so answer is C
Hope this helps ^-^
Gary drew a rectangle with a perimeter of 16 inches. Then he tried to draw a square with a perimeter of 16 inches.
Select the dimensions of the rectangle drawing.
16 inches by 7 inches 1 inch by 7 inches
16 inches by 1 inch7 inches by 4 inches
Select the dimensions of the square drawing.
1 inch by 1 inch
4 inches by 4 inches
16 inches by 16 inches
7 inches by 7 inches
Answer: I think u have to multiply all da numbers.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
what is the length of the diagonal of the rectangle?
A) 29.75
B) 10.625
C) 126.4375
D) 21.25
With sides of 12.75 and 17 on the bottom.
Answer:
21.25
Step-by-step explanation:
We can use the Pythagorean theorem since we know the legs
a^2+b^2 = c^2
12.75 ^2 + 17^2 = c^2
162.5625+289= c^2
451.5625 = c^2
Take the square root of each side
sqrt(451.5625) =sqrt( c^2)
21.25 = c
Answer: the answer will be 21.25
Step-by-step explanation:
-12 = 24 + 4b plz i need help asap plzplzplzplzplz i will give brainilest to the person who answers
Answer:
b=-9 that the right answer
When a water tank is $30\%$ full, it contains 27 gallons less than when it is $20\%$ empty. How many gallons of water does the tank hold when it is full?
Answer:
54 gallons
Step-by-step explanation:
Let x represent the volume of the full tank.
When the water tank is 30% full;
= 30% of x = 0.30x
when it is 20% empty:
= x - 20% of x = x - 0.20x = 0.80x
The difference is given as 27.
So, we can represent the question on an equation as;
0.80x - 0.30x = 27
Solving the equation, we have;
0.50x = 27
x = 27/0.50
x = 54 gallons
The tank can hold 54 gallons when it is full.
Answer:
54
Step-by-step explanation:
x - 5/3 = 1 5/12
URGENT!! I BE OF YOU PLZ HELP!!
Answer:
x= 37/12
Step-by-step explanation:
Solve for x
x/4 = 3/8
Give your answer as an improper fraction in its simplest form.
Answer:
[tex] x = \frac{3}{2} [/tex]
Step-by-step explanation:
[tex] = > \frac{x}{4} = \frac{3}{8} \\ \\ = > x = \frac{3}{8} \times 4 \\ \\ = > x = \frac{3}{2} [/tex]
Dafydd bought a bike for £300 on 1st February 2010. Every year the value of the bike depreciates by 18% of its' value at the start of the year. Find the value of the bike on 1st February 2014.
Answer: £165.41
Step-by-step explanation:
Price of bike when purchased in 2010 = £300
Depreciation rate yearly = 18%
Value of bike in 2011
Purchased price - depreciation value
= £300 - £300 * 0.18
= £300 - £54
= £246
Value of bike in 2012
= 2011 Price - depreciation value
= £246 - £246 * 0.18
= £246 - £44.28
= £201.72
Value of Bike in 2013
= price of 2012 - depreciation value
= £201.72 - £201.72 * 0.18
= £201.72 - £36.31
= £165.41
Price in 2014 would be £165.41
The table shows the age, in years, of employees in a company.
Age (a) in years Frequency
18 < a < 20
3
20 < a < 22
2
22 < a < 24
7
24 < a < 26
8
26
0
a) Find the modal class interval.
Isac
b) Work out an estimate of the mean age of these employees.
Answer:
a) The modal class for this case represent the class with the highest frequency
And for this case would be [tex] 24 <a<26[/tex] with the highest frequency 8
b) [tex] \bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23[/tex]
Step-by-step explanation:
Part a
The modal class for this case represent the class with the highest frequency
And for this case would be [tex] 24 <a<26[/tex] with the highest frequency 8
Part b
For this case we need to find the mid point of each interval:
Interval Midpoint Frequency
18-20 19 3
20-22 21 2
22-24 23 7
24-26 25 8
And we can find the sample mean with this formula:
[tex] \bar X = \frac{\sum_{i=1}^n f_i x_i}{n}[/tex]
And replacing we got:
[tex] \bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23[/tex]
The class with the highest frequency represents the modal class for this case and for this case would be (24 < a < 26) with the highest frequency of 8 and an estimate of the mean age of these employees is 23.
Given :
The table shows the age, in years, of employees in a company.
A) The class with the highest frequency represents the modal class for this case and for this case would be (24 < a < 26) with the highest frequency 8.
B) To estimate the mean age of these employees, first, determine the midpoint.
Age Frequency Midpoint
18-20 3 19
20-22 2 21
22-24 7 23
24-26 8 25
The formula of the sample mean is given by:
[tex]\rm \bar{X} =\dfrac{\sum^{n}_{i=1}f_ix_i}{n}[/tex]
[tex]\rm \bar{X} = \dfrac{19\times 3+21\times 2 +23\times 7+25\times 8}{3+2+7+8}[/tex]
[tex]\rm \bar{X} = 23[/tex]
For more information, refer to the link given below:
https://brainly.com/question/20747890
The circumference of a circle is 8.65cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
D = 2.75 cm
Step-by-step explanation:
D = C÷ π
D = 8.65 ÷ 3.14
D = 2.754
D = 2.75 cm
Answer:
d = 2.75 cm
Step-by-step explanation:
C = 2π·r } => C = dπ => d = C/π
2r = d
d = 8.65cm/3.14 ≈ 2.75 cm
ASAP
Which of the following is a solution for the inequality 2x < 9?
x = 6
x = 5.5
x = 4.5
x = 4
Answer:
4
Step-by-step explanation:
2×4 is the only one that equals less than 9, 2× 4.5 is 9, 2×5.5 is 11, 2×6 is 12, and the question is trying to get below 9, so 4 is the only answer that can get below 9
Your friend standing on a 45 foot balcony. He asks you to throw a baseball up to him. You throw a baseball with an initial upward velocity of 50 ft./s. Assuming that you released the baseball 6 feet above the ground, did it reach your friend? Explain.
Vertical motion formula is h = -16t^2 +vt +s where v is initial velocity and s is starting height:
h = -16t^2 + 50t +6
Solving for t: -50/-32 = 1.5625 seconds to reach maximum height.
Now replace t and solve for h ( maximum height)
h = -16(1.5625)^2 +50(1.5625) + 6
h = 45.0625
The value for h is greater than the height of the balcony, so yes the ball reached the friend.
Help me with Radians
Solve for x:
8x + 36°
5x + 60°
hope it help you..if it help then plz mark as brainliest
when would you a subtract in an expression
Answer:
You would need to subtract when:
Step-by-step explanation:
If there is a negative number like 4 -5
If there is a parentheses,
A subtraction sign.
Hope this helps you.
What is the exact distnace from (-5, 1) to (3, 0)?
A) square root of 63
B) square root of 65
C) square root of 67
D) square root of 69
Answer:B
Step-by-step explanation:
Sq rt. (0-1)^2+(3- -5)^2
(1)^2+(8)^2
1+64=65
Step-by-step explanation:
B) square root of 65
.................
another one im kinda small brain
Answer:
75 between E and B.........
Serena sold 8 pitchers of lemonade. She used the same amount of lemons in each pitcher. She had three lemons left over. Write an expression to represent the total numbers of lemons she had
Answer:
8m+3
Step-by-step explanation:
Let m be the number of lemon used in a pitcher of lemonade.
Serena sold 8 pitchers of lemonade, therefore she used 8m lemons.
Since there is a leftover of 3 lemons, we add:8m+3
Therefore:
Total number of lemons Serena has can be determined by the expression: 8m+3
where m is the number of lemons used in one pitcher of lemonade.
Sixth grade students were asked, “what grade are you in?” Explain why this is NOT statistical question.
Answer:
they're all in the same grade
two rangers at stations located 10 miles apart both see a camper distress signal in the distance the signal is at a compass bearing of 70 degrees from the north station and 40 degrees from the south station find the distance to the angle signal from south station to the nearest hundred
Answer:
10 miles
Step-by-step explanation:
∠1 = 70° and ∠3 = 40°. Angles of a triangle add up to 180°, so ∠2 = 70°.
Using law of sines:
10 / sin(∠2) = x / sin(∠1)
10 / sin(70°) = x / sin(70°)
x = 10
Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge the same prices. Will's Watersports made a total of $780 from renting 12 jet skis and 9 kayaks. Family Fun Rentals made a total of $570 from renting 7 jet skis and 11 kayaks. What is the cost of each type of rental?
Answer:
Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.
Step-by-step explanation:
Since they both rent the vehicles at the same price, "x" for jet skis and "y" for kayaks", we can create equations for each store and a system of equations for these, as shown below:
Watersports:
12*x + 9*y = 780
Fun Rentals:
7*x + 11*y = 570
System:
[tex]\left \{ {{12*x + 9*y=780} \atop {7*x + 11*y=570}} \right.[/tex]
We can isolate "x" on the first equation:
[tex]x = \frac{780 - 9*y}{12}[/tex]
And use it on the second:
[tex]7*[\frac{780 - 9*y}{12}] + 11*y = 570\\5460 -63*y = 6840 - 132*y\\132*y - 63*y = 6840 - 5460\\69*y = 1380\\y = 20\\[/tex]
We can now use this value to find "x":
[tex]x = \frac{780 - 9*20}{12} = 50[/tex]
Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.
с
60 mm
25 mm
What is the length of the hypotenuse?
Answer:
65mm
Step-by-step explanation:
From the Pythagorean theorem, we can write it as sqrt(60^2+25^2) which is 65.
This is the question please solve this question
Answer:
a-5 and b-2 5+2=7 and 5*2=10
Step-by-step explanation:
a+b=7 and ab=10
An electrician has a piece of wire that is 4 and 3/8 centimeters long. She divides the wire into pieces that are 1 and 2/3 centimeters long. How many pieces does she have?
Answer:
She has approximately 3 pieces ( 2.625)
Step-by-step explanation:
To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.
To get the division done, it would be easier to convert what we have into improper fractions
For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters
while;
the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters
The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces