Answer:
Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)
AB=
[8−(−2)]
2
+(3−3)
2
=
(10)
2
+(0)
2
=
100
AC=
[6−(−2)]
2
+(7−3)
2
=
(8)
2
+(4)
2
=
64+16
=
80
BC=
(6−8)+[7−(2)]
2
=
(−2)
2
+(4)
2
=
4+16
=
20
If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.
AB
2
=(
100
)
2
=100
and AC
2
+BC
2
=(
80
)
2
+(
20
)
2
=100
∴AB
2
=AC
2
+BC
2
thus triangle satisfies the Pythagoras theorem
Hence, the triangle is right angled triangle.
Step-by-step explanation:
100 students are interviewed to see which of biology, chemistry or physics they prefer. 29 of the students are girls. 9 of the girls like biology best. 20 of the boys prefer physics. 9 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?
Help would be highly appreciated! <3
Answer:
42%
first we find the totals of each gender which was indicated that there are 29 girls in total ...making it 71 boys there to make100 students .
then it is shown that 9 girls like biology and boys ...anon
20 boys prefer physics and out of the 29 students who like chemistry ..18 are boys which now gives us 38 boys out of 71 .
to get the boys who like biology u subtract 38 from their total which is 71 to get 33.
33 + 9 = 42
42/100 = 42%
Barbara requires 2 gallons of paint to cover an area of 800 square feet. Identify the graph for the relationship from quantity to the area covered, and the parent function that best describes it. Then use the graph to estimate how many gallons of paint Barbara requires to paint an area of 2,400 square feet.
Answer:
6
Step-by-step explanation:
x = area to be painted
y = gallons of paint needed
we know already one point of that function/graph :
x = 800
y = 2
so, for a simple relationship between the 2 variables we can assume
y = ax
2 = a×800
a = 2/800 = 1/400
so, we get
y = (1/400) x
for 2400 ft²
y = 1/400 × 2400 = 1/4 × 24 = 24/4 = 6
she needs 6 gallons of paint for 2400 ft².
6 gallons of paint are required to cover 2400 ft² area.
Graph options aren't given ; however, we could still obtain the required solution using the information given :
2 gallons covers 800 ft²
Let the number of gallons to cover 2400 feets = x
Using cross multiplication :
2 gallons = 800 feets
x gallons = 2400 feets
Cross multiply :
800 × x = 2400 × 2
800x = 4800
Divide both sides by 800
x = 4800 / 8
x = 6
Hence, 6 gallons of paint are required to cover 2400 ft².
Learn more : https://brainly.com/question/18109354
(5x² +7xy+10y²) (5x-7y)
I dont even know anything about math
4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast
Answer:
-21/22
Step-by-step explanation:
1.Apply fraction cross multiply
2. Simplify
3.Expand
4.Subtract 24 from both sides
5.simplify
6. Subtract 18x form both sides
7.Simpiify, then divide both sides by -22to get answer.
A man is37years old and his child is eight.how many years ago was the product of their ages 96
Answer:
WHEN X =5 LHS = 32*3 => 96 IS EQUAL TO RHS. therefore five years ago their product of ages is equal to 96.
hope this helps!
Find the mean, median, mode, and range of the data set.
5, 10, 17, 12, 9, 15, 10
If necessary, round your answers to the nearest tenth.
Answer:
mean 11.14
Median 10
mode 10.
Explanation
Mean is sum of data divide by number of data.
Mode is the most appearing number.
multiply 3a and (2a+6b
Step-by-step explanation:
3a(2a+6b)
3a×2a+3a×6b
6a²+18ab
Solve for h in the equation 15-2h=6
Answer:
-2h =6-15
-2h =-9
h=-9/-2
h=4.5
Step-by-step explanation:
please follow meWrite an Algebraic expression for the following phrases. K. The sum of a number m and 15 L. 6 more than a number x M. 8 less than N. 27 of a number N. The sum of three consecutive integers 0. The sum two consecutive even integers
1:-
[tex]\\ \sf\longmapsto m+15[/tex]
2:-
[tex]\\ \sf\longmapsto x+6[/tex]
3:-
[tex]\\ \sf\longmapsto r-8[/tex]
4:-
[tex]\\ \sf\longmapsto \dfrac{3}{4}x=\dfrac{3x}{4}[/tex]
5:-
[tex]\\ \sf\longmapsto n(n-1)(n-2)=n![/tex]
6:-
[tex]\\ \sf\longmapsto n+(n+2)=2n+2[/tex]
12 1/4 + 11.14 =
[tex]12 \frac{1}{4} + 11.14[/tex]
Answer:
166.25
Step-by-step explanation:
12 1 /4 + 154
166 1/4
665/4 , 166.25
Hey there!
12 1/4 + 11.14
= 49/4 + 11.14
= 12.25 + 11.14
= 23.39 or 23 39/100
Answer: 23.39 or 23 39/100
Good luck on your assignment and enjoy your enjoy your day!
~Amphitrite1040:)
i want to ask a question
Answer:
D
Step-by-step explanation:
8,760 divided by 96 with a perfect explanation that is perfectly clear step by step
Answer:
91,25
Step-by-step explanation:
the step by step is on the picture! :)
Gary rents three DVDs each week at Fantastik Flicks. Write an algebraic expression for Wn, the total number of points earned in the nth week
For the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
Your question is not complete, it seems it is missing the following information below;
DVD rentals: 1 2 3
Total DVD points: 3 5 7
The number of points earned is a function of number of DVD rentals.
For the first DVD, the number of points earned;
[tex]n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned[/tex]
3 = 1 + c
3- 1 = c
2 = c
For nth week the total point earned is given as;
[tex]n_t_h = p_n + c\\\\n_t_h = p_n + 2[/tex]
Thus, for the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
Learn more here: https://brainly.com/question/18077111
Here we have a problem with arithmetic sequences.
After a small online search, I've found that:
Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental
And so on.
We will find that the total of points in the n-th week is given by:
Wₙ = 15 + (n - 1)*18
Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...
We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15
For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33
For the third week, the total number of points is: W₃ = (15 + 17 + 19) = 51
Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.
W₂ - W₁ = 33 - 15 = 18
W₃ - W₂ = 51 - 33 = 18
So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.
Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18
If you want to learn more, you can read:
https://brainly.com/question/19007362
What are the domain and range of f(x) = 2(3X)?
domain: (-00,00); range (0,00)
O domain: (-00,00); range: (2,00)
domain: (0,0); range: (-0,0)
domain: (2.00); range: (-00,00)
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex](0,\infty)[/tex]
==============================================================
Explanation:
I'm assuming the function is [tex]f(x) = 2(3)^x[/tex] which is an exponential function.
The domain of any exponential function is the set of real numbers. In interval notation, the domain is [tex](-\infty, \infty)[/tex] which says we can pick any number between negative infinity and positive infinity: aka any number we want. There are no restrictions to worry about such as division by zero errors.
The range of this exponential function is the set of y values such that y > 0. It often helps to see the graph of what is going on (see below). Note how as x heads to the left, and gets more negative, the curve approaches the x axis. It never actually touches it however. So it will never reach y = 0 itself but instead just get very close. The inequality y > 0 translates to the interval notation [tex](0,\infty)[/tex]
----------
Summary:
Domain: [tex](-\infty,\infty)[/tex]; Range: [tex](0,\infty)[/tex]
So that's why the answer is choice A
The domain and range of the function f(x) are (-∞, ∞) and (-∞, ∞) respectively.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function f(x) = 2(3x) can be simplified to f(x) = 6x.
The domain of a function is the set of all possible input values for x, while the range is the set of all possible output values for f(x).
Since there are no restrictions on the value of x that can be plugged into the function, the domain of f(x) is all real numbers, or (-∞, ∞).
To find the range, we can look at the behavior of the function as x varies. As x increases or decreases, the value of f(x) also increases or decreases, respectively, at a rate of 6 times the rate of change of x.
Therefore, the range of f(x) is also all real numbers, or (-∞, ∞).
To learn more on Functions click:
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#SPJ5
Is 2πr (2r+√(h^2+4r^2 ) ) over πr(r+√(h^2+r^2 )) a simplified algebraic ratio?
Answer : 1+1 = 11
22+22 = 2222
The value of tan1°tan2ºtan3⁰ (a) 0 (b)-1 (c) 1 (d) 2 tan890 is equal to
Step-by-step explanation:
Answer-
b) 1
Please help by September 7th
Answer:
Q1: 14
Q2:Yes
Step-by-step explanation:
Q1: 172.5-25.5=147
147/10.5=14
Q2: 22.50+10%=24.75
24.75-20%=19.8
I need help in geometry
Answer:
15
Step-by-step explanation:
AC is the entire line segment.
AB and BC together make AC.
⇒ AB + BC = AC
⇒ [tex](2x+2)+(3x+6)=23[/tex]
Open the parentheses
[tex]2x+2+3x+6=23[/tex]
Combine like terms
[tex]5x+8=23\\5x=15\\x=3[/tex]
Therefore, x=3. Plug this into 3x+6 to find BC:
[tex]3x+6\\= 3(3)+6\\=9+6\\=15[/tex]
Therefore, BC is 15.
I hope this helps!
Simplify: (3) + (-4)
Answer:
it should -1 because you have to evaluate the number
Convert 402.12 to a fraction
Answer:
40212/100
Step-by-step explanation:
To write 402.12 as a fraction you have to write 402.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
402.12 = 402.12/1 = 4021.2/10 = 40212/100
And finally we have:
402.12 as a fraction equals 40212/100
answer:
[tex]\frac{10053}{25}[/tex]
first, you would convert 402.12 to a mixed number by placing the numbers to the right of the decimal over 100. and then reduce the fraction.
you would get [tex]402\frac{3}{25}[/tex]
convert the mixed number to an improper fraction:
25×402+3=10053
and lastly, place your new numerator over the original denominator:
[tex]\frac{10053}{25}[/tex]
What is s²t-10 if s=-8 and t=[tex]\frac{3}{4}[/tex]
Hi ;-)
[tex]\text{s}=-8 \ \text{and} \ \text{t}=\frac{3}{4}\\\\\text{s}^2\text{t}-10=(-8)^2\cdot\frac{3}{4}-10=\\\\=64\cdot\frac{3}{4}-10=16\cdot3-10=48-10=\boxed{38}[/tex]
The first flock contained 5283 birds . The second contained 5 times as many birds the third flock had twice as many birds as the second flock . How many birds were there in all?
Answer:
84528 birds
Step-by-step explanation:
number of birds in the 2nd flock = 5283 * 5 = 26415
number of birds in the 3rd flock = 26415 * 2 = 52830
total = 5283 + 26415 + 52830 = 84528
What symbol is used to show that two figures are congruent ?
Answer:
~
=
Step-by-step explanation:
help please!!!!!!!!!!!!!! im bad at math
Answer:
[tex]thank \: you[/tex]
Answer:
5k 1/2
Step-by-step explanation:
here you go!!!!!!!!!!!!!!
The price of an item is 33.10 You give the cashier two $20 bills. What is the change?
Answer:
answer) the change is $7.90
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer.
[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
[tex]\\ \rm\longmapsto ^{12}C_3[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]
cancel 9![tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]
[tex]\\ \rm\longmapsto 220[/tex]
6 times the sum of z and 5
Answer:
5
⋅
(
n
+
1
)
Explanation:
To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it
n
.
Next let's create the sum of a number and one. This would be:
n
+
1
.
Then to get five times this number we need to multiple this expression by five to get:
5
⋅
(
n
+
1
)
Step-by-step explanation:
if BC = 6x-16 and CD = 4x + 10, then x = ?
Answer:
13
Step-by-step explanation:
BC and CD are equal, so both equations will equal eachother.
6x - 16 = 4x + 10
+16 +16
------------------------
6x = 4x +26
-4x -4x
------------------------
2x = 26
---- -----
2 2
x = 13
Hope this helped.
A. Tai, Jorge,mike Gwen
B. Gwen, Jorge, mike, tai
C. Tai, mike, Gwen, Jorge
D. Gwen, mike, Jorge, tai
(7x2 - 2x - 5)(3x2 + 2x - 3)
Step-by-step explanation:
I think this answer will be correct