Answers
Answer:
The perimeter of triangle ΔABC is approximately;
(A) 20.0
Step-by-step explanation:
In ΔABC, the coordinates of the vertices are given as follows;
A(-4, 1), B(-2, 3), C(3, -4)
The length, 'l', of the sides of the triangle with known 'x', am]nd 'y' coordinates are given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, we have;
The length of segment [tex]\overline {AB}[/tex] = √((3 - 1)² + (-2 - (-4))²) = 2·√2 ≈ 2.83
The length of segment [tex]\overline {BC}[/tex] = √(((-4) - 3)² + (3 - (-2))²) = √74 ≈ 8.6
The length of segment [tex]\overline {AC}[/tex] = √(((-4) - 1)² + (3 - (-4))²) = √74 ≈ 8.6
The perimeter of a geometric shape is equal to the sum of the length of sides of the figure
The perimeter of triangle ΔABC = (The length of segment [tex]\overline {AB}[/tex]) + (The length of segment [tex]\overline {BC}[/tex] ) + (The length of segment [tex]\overline {AC}[/tex])
∴ The perimeter of triangle ΔABC = 2·√2 + √74 + √74 ≈ 20.0.
Answer: 20.0
Step-by-step explanation: Khan Academy
Related Questions
algebra 1 Solve number 10 !!!
Answers
Answer:
0.06x + 0.15y = 69.84
x = (69.84 - 0.15y) / 0.06
y = (69.84 - 0.06x) / 0.15
x + y = 852
((69.84 - 0.15y) / 0.06) + y = 852
y = ?
(I'm not trying to give you the answer but guide you how to do it)
Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm
Answers
=12*20*5-4*2*0.5
=1200-32
=1168 cubic cms
Answer:
1196
Step-by-step explanation:
trust me i checked the answer!
how to factorise
25x²- 64y²
Answers
Answer:
(5x + 8y)(5x - 8y)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b) where a = 5x and b = 8y.
~Hoped this helped~
= (5x)² - (8y)²
= (5x-8y)(5x+8y)
Hope this helps!
By selling a watch for Rs 1275, Javed lost 15%. At what price should he sell to make a profit of 10%
Answers
Answer: Rs. 1,650
Step-by-step explanation:
First find the original price of the watch.
If the watch is sold at Rs. 1,275, there is a 15% loss.
Assume the watch is x.
(1 - 15%) * x = 1,275
0.85x = 1,275
x = 1,275 / 0.85
x = Rs. 1,500
Now add a 10% markup on the original:
= (1 + 10%) * 1,500
= 1.1 * 1,500
= Rs. 1,650
Solve for y when f(x)=2x^4-5
Answers
will mark brainliest
Answers
(2x+1)+(3x-5)=5x-4 you just have to try some of them out and see which ones work
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.
Answers
I think the answer is 0>y
Answer:
option 1 and 2
Step-by-step explanation:
edge 2021
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Answers
Step-by-step explanation:
Write multiplication and division equations to model and solve the problem. Use m for the unknown
0.734862.. irrational or rational
Answers
Answer:
Irrational
Step-by-step explanation:
pls help. i really need help on this!!
(pls dont waste my time or just take away points for fun. Whoever gets the correct answer will be marked brainliest. I need explanation how to do it)(i would apresiate your help)
a, b, c, d, h, and i.
Answers
Answer:
a.) $10.50
b.) $45.00
c.) about 66.67%
Step-by-step explanation:
a.) regular price = 15.00
discount = 30% or 0.3
15 x 0.3 = 4.50 ----------> this is the amount that you will have off
15.00 - 4.50 ---------> by subtracting from original price, you have sale price
= $10.50
b.) bought price = 25.00
marked up = 80% or 0.8
25.00 x 0.8 = 20 -------> this will give you 80% of 25
25.00 + 20.00 ------> she sells for 80% higher, so add the numbers
= $45.00
c.) original price = 36.00
bought price = 36.00 - 12.00
= 24
24 / 36 -----> divide bought price by original to find what percentage it is
= .66666 which is rewritten as 66.667%
you can check this by multiplying that percentage by the original price
hopefully this helps a little bit
What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed
Answers
Answer:
9/2
Step-by-step explanation:
(3, -20) & (11, 16)
To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(16 - (-20)) / (11 - 3)
Simplify the parentheses.
= (36) / (8)
Simplify the fraction.
36/8
= 9/2
9/2 is the most simplified fraction. This is your slope.
Hope this helps!
A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answers
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
Can somebody help me solve for x?
Answers
Answer:
x = 18
Step-by-step explanation:
80 / 48 = 30 / x
80x = 1440
x = 18
Jennifer has 12 nickels and dimes. The value of her coins is $1
Answers
Answer:
4 dimes, 12 nickels
Step-by-step explanation:
nickels are worth 5 cents,
12x5=60
$1 is worth 100 cents
100-60 is 40
dimes are worth 10 cents
40 / 10 is 4
so 4 dimes
The number of dimes = 8 dimes
The number of nickels = 4 nickels
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of nickels be = x
Let the number of dimes be = y
Now , the total number of coins = 12
So , the equation will be
x + y = 12 be equation (1)
Now , the total value of coins = $ 1
The value of 1 dime = $ 0.10
The value of 1 nickel = $ 0.05
So , the equation will be 0.05x + 0.10y = 1 be equation (2)
Multiply equation (2) by 100 , we get
5x + 10y = 100 be equation (3)
Multiply equation (1) by 5 , we get
5x + 5y = 60 be equation (4)
Subtracting equation (4) from equation (3) , we get
5y = 40
Divide by 5 on both sides of the equation , we get
y = 8
Therefore , the value of y = 8
Substitute the value of y in equation (1) , we get
x + y = 12
x + 8 = 12
Subtracting 8 on both sides of the equation , we get
x = 4
Therefore , the value of x is 4 and value of y is 8
Hence , The number of dimes = 8 dimes
The number of nickels = 4 nickels
To learn more about equations click :
https://brainly.com/question/19297665
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A local hamburger shop sold a combined total of 376 hamburger and cheeseburgers on Sunday. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
Answers
Answer:
82
Step-by-step explanation:
let X = the number of hamburgers sold
let Y = the number of cheeseburgers sold a combined total of 328 were sold
so: X + Y = 328
cheeseburgers = 3 times the number of hamburgers sold
so: Y = 3X
substitute 3X into the equation for Y
X + 3X = 328
4X = 328
divide both sides by 4 to get the variable X by itself
X = 82
so: 82 hamburgers were sold Friday
Answer:
There were 225 hamburgers sold on Sunday.
Step-by-step explanation:
2h - 74 = 376
h = hamburgers
2h - 74 + 74 = 376 + 74
2h = 450
2h/2 = 450/2
h = 225
Check.
hamburgers + cheeseburgers = total number of burgers
225 + (225 - 74)
225 + 151 = 376
I’m stuck I need help please.
Answers
Answer:
6
Step-by-step explanation:
30+25n=90+15n
10n=60
n=6
Answer:
She would have to buy 4 personal training sessions
Step-by-step explanation:
30 + 25 + 25 + 25 (3 training sessions)
= 105
90 + 15 (1 training session)
= 105
The candy store has a stock of candy. They have 15 bags of tootsie rolls, 10 boxes of nerds, 12 bags of gummy
bears, 5 bags of M&M's and 22 bags of skittles. Find the ratio of nerds to skittles. Be sure to simplify.
Answers
Answer:
ratio of nerds to Skittles
= 10:22
= 5:11
solve -3 (x + 1) - 2x= -6
A x=1
B x=5
C x = -7
D x = -9
Answers
Answer: C
Step-by-step explanation:
Shaun climbed Mount Rushmore at a unit rate of
1,250 meters per minute. How long did it take him to
climb 75,000 meters?
Answers
Answer:
60
Step-by-step explanation:
75,000/1,250= 60 mins or an hour
The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2
What is the width
What is the length
Answers
Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
Hope this helps:)
Giovanni is heating up mini frozen pizzas in the microwave. Each pizza takes 3 ¾ minutes to cook. How long will it take Giovanni to heat up 3 pizzas? *
Answers
Time taken by a pizza to get cooked [tex] =\tt 3 \frac{3}{4} \: minutes [/tex]
Number of pizzas with Giovanni = 3
Time that will be taken to heat up 3 pizzas :
[tex] =\tt 3 \frac{3}{4} \times 3[/tex]
[tex] = \tt\frac{4 \times 3 + 3}{4} \times 3[/tex]
[tex] =\tt \frac{12 + 3}{4} \times 3[/tex]
[tex] = \tt\frac{15}{4} \times 3[/tex]
[tex] = \tt \frac{15 \times 3}{4} [/tex]
[tex] = \tt \frac{45}{4} [/tex]
[tex]\color{plum} =\tt 11 \frac{1}{4} \: minutes[/tex]
Therefore, Giovanni will take [tex] \color{hotpink}\tt \bold{11 \frac{1}{4}} \: minutes [/tex] to heat up 3 pizzas.
(2x + 1, XS-5
f(x)= x?, -5
3-x, x5
f(-10) =
f(2) =
f(-5) =
f(-1) =
f(8) =
Answers
Answer:
Step-by-step explanation:
The value of the function is given by the relation
f ( x = -10 ) = -19
f ( 2 ) = 4
f ( -5 ) = 25
f ( -1 ) = 1
f ( 8 ) = -5
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = { 2x + 1 when x ≤ 5
x² when -5 ≤ x ≤ 5
3 - x when x ≥ 5 }
Now , the value of the function is given by
when x = -10
f ( -10 ) = 2 ( -10 ) + 1
f ( -10 ) = -19
f ( 2 ) = 2²
f ( 2 ) = 4
f ( -5 ) = ( -5 )²
f ( -5 ) = 25
f ( -1 ) = ( -1 )²
f ( -1 ) = 1
f ( 8 ) = 3 - 8
f ( 8 ) = -5
Hence , the function is solved
To learn more about function rule click :
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When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
Answers
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
The table shows how many hours Sara spent at several activities one Saturday.
Activity "Hours
Soccer practice 2
Birthday party 3
Science project 1
What is the ratio of hours spent at soccer practice to hours spent at a birthday party?
Choose 1 answer:
1 for every 2
B
2 for every 1
2 for every 3
3 for every 2
Answers
Answer:
Its2 for every 3
Step-by-step explanation:
Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php
10 per bottle and Reyna Puti is priced at Php 15 per bottle. If he needs a
total sales of Php 600.00, how many bottles of Reyna Puti should he sell if
there were already 30 bottles of Silver duck sold?
Answers
Answer:
Reyna Puti sold = 20 bottles
Step-by-step explanation:
Silver duck = Php 10 per bottle
Reyna Puti = Php 15 per bottle
Silver duck sold = 30 bottles
Reyna Puti sold = x bottles
Total sales = Php 600.00
Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold
600 = 10 * 30 + 15 * x
600 = 300 + 15x
600 - 300 = 15x
300 = 15x
x = 300/15
x = 20 bottles
Reyna Puti sold = 20 bottles
please help i’m just trying to pass
Answers
Answer:
C- 2
Step-by-step explanation:
f(-2)=4x+10
= 4*(-2)+10
=-8+10
f(-2)=2
Simplify
(2a²b)(4ab)
Answers
Answer:
8a^3b^2
Step-by-step explanation:
Kindle wrote a five page report with 250 words per page how many words are in the report ?
Answers
Answer:
The answer is 1250
Step-by-step explanation:
5×250=1250
Answer:
1250
Step-by-step explanation:
number of words on one page= 250
number of pages= 5
total number of words=250 x 5
=1250
There 1250 words in the report
PLEASE MARK ME AS BRAINLIEST!!!!!
Convert to equation: four times a number increased by 8 is 24
Answers
Answer:
4*4
Step-by-step explanation:
since 4 times 4 is 16 then if you add 8 its 24
Toms banks baleances at the end of the months 1,2,3 are 1600 ,1664,1730.56 what will toms balance be at the end of month 5
Answers
Answer:
Tom's balance at the end of month 5 = 1,871.77
Step-by-step explanation:
a = 1600
ar = 1664
ar² = 1730.56
common ratio, r = ar/a
= 1664/1600
= 1.04
r = 1.04
what will toms balance be at the end of month 5
Month 5 = ar⁴
= 1600 * 1.04⁴
= 1600 * 1.16985856
= 1,871.773696
Approximately 1,871.77
Tom's balance at the end of month 5 = 1,871.77
