Answer:
The area of a triangle is:
A = 1 unit²Step-by-step explanation:
Given the points of a triangle
A(1, 1)
B(2, 3)
C(4, 5)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Distance between AB:
[tex]AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}[/tex]
[tex]=\sqrt{1+4}[/tex]
[tex]=\sqrt{5}[/tex]
so
[tex]a=\sqrt{5}[/tex]Distance between BC:
[tex]BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}[/tex]
[tex]=\sqrt{2^2+2^2}[/tex]
[tex]=\sqrt{2^3}[/tex]
[tex]=2\sqrt{2}[/tex]
so
[tex]b=2\sqrt{2}[/tex]Distance between AC:
[tex]AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}[/tex]
[tex]=\sqrt{3^2+4^2}[/tex]
[tex]=\sqrt{5^2}[/tex]
[tex]=5[/tex]
so
[tex]c=5[/tex]Semiperimeter = sum of sides ÷ 2
[tex]s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224[/tex]
Area of the triangle:
[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]
[tex]a=\sqrt{5}[/tex][tex]b=2\sqrt{2}[/tex][tex]c=5[/tex][tex]A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}[/tex]
[tex]A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}[/tex]
[tex]A=1[/tex]
Therefore, the area of a triangle is:
A = 1 unit²HELLPPPP PLEASEEE!!
A pack of gum costs $1.49. It has 25 pieces in a pack. How much does it cost to chew each piece of gum?
Answer:
$0.05
Step-by-step explanation:
<3
Find the area of the rectangle.
(8x+5) yards
(8x-5) yards
Step-by-step explanation: To find the area, we can use the F.O.I.L. method.
Notice that these two binomials are identical except
that one has a plus and one has a minus.
These types of binomials are called conjugates.
If you're asked to F.O.I.L. two conjugates, you can
ignore the outer and inner products,
knowing they will cancel each other out.
So the answer to this problem comes from the product
of the first terms and the product of the last terms.
So our answer is 64x² - 25.
Write 1270 in expanded form using exponents
Step-by-step explanation:
Answer:
[tex]1.270[/tex] × [tex]10^{3}[/tex]
I hope this helps!
A hotel has 22 clean towels and 78 dirty towels. What is the ratio of the number of clean towels to the total number of towels?
Answer:
22:78
Step-by-step explanation:
lol
What is the measure of angle G? Type only the number:
Answer: 48
Step-by-step explanation:
total of all the degrees of the angles of the triangle is ALWAYS 180
let the measure of angle G be x
180 = 102+30+x
180 = 132+x
x = 48
What type of sequence do these figures belong?
Answer:
what figures? pls share the picture of the figures
Step-by-step explanation:
what is the 101st term for the sequence 13, 9, 5, 1... ?
Step-by-step explanation:
a=13d=13-9=4[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {n}{2}}\left [2a-(a-1)d\right][/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101={\dfrac {101}{2}}\left [26 (12)4\right] [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 50.5×1248 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101=63504[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_n=a+(n-1)d [/tex][tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+(101-1)-4 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+100(-4)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 13-400 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=-387 [/tex]
If Sally makes $7.25 / hour and works 40 hours plus 8 hours overtime what will she get paid?
Answer:
$348
Step-by-step explanation:
40 + 8 = 48 x 7.25 = 348
Which of the following is equal to 51/3?
Answer:
17 hope this helps
Step-by-step explanation:
Which direction am I going if I drive from Washington DC to Dallas texas
Answer:
north
Step-by-step explanation:
Use the distributive property to write an equivalent expression without parentheses.
9 (a + 8)
Check all that apply.
Distribute 9, by multiplication, to the variable, a, and to the constant, 8.
Write the two multiplications, 9(a) + 9(8)
The expression 9(a) is written as 9a.
The expression 9(8) equals 72.
The equivalent expression is 9a + 8.
The equivalent expression is 9a + 72.
100 points if anyone can give me the RIGHT answers to this question!
Answer:
all except e
Step-by-step explanation:
Answer:
all of them acept number 1
Step-by-step explanation:
i just want points
elm st. and spruce st. are parallel what is m<1
Answer:
The measure is 68
Step-by-step explanation:
180-112 = 68
side alternate exterior (supplementary)
The measure of angle 1 will be equal to 68.
What are supplementary angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angle is defined as the angle having the sum of 180 degrees.
Given that there are two parallel lines intersecting one line at an angle of 112. The angle 1 will be calculated as:-
The angle will be calculated as follows:-
∠1 + 112 = 180
∠1 = 180 - 112 = 68
Therefore, the measure of angle 1 will be equal to 68.
To know more about supplementary angles follow
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Arizona iced tea is manufactured in a warehouse by machines that bottles
the iced tea bottles and puts the caps and labels on them. There is a
special machine that bottles iced tea so that every 8th bottle gets a green
label and every 6th bottle gets a pink cap.
What number bottle will be the first bottle to get a green label and a
pink cap?
On the 100th year Anniversary every 10th bottle got a special edition bottle
that has a gold band.
What number bottle will be the first to get a green label, a pink cap
and a special edit
Answer:
to get a green and pink it would be 24
i cant find find the special edit sorry
Step-by-step explanation:
Find the Solution of the equation -2x + 7 = 7
Answer:
x = 0
Step-by-step explanation:
-2 x 0 + 7 = 7
-2 x 0 = 0
0 + 7 = 7
NEED DONE ASAP PLEASE!!! 25points
Answer:
b i belive i may be incorrect
Step-by-step explanation:
Answer:
it is the second one :)
Step-by-step explanation:
:)
for the first select option:
-MJ or ML or MK or KL
for the second select option:
-congruent or not congruent
for the third select option:
-include or do not include
for the fourth select option:
-congruent or not congruent
giving brainliest !
Answer:
1.) ML
2.) congruent
3.) include
4.) congruent
Simplify the expression below: (3−13)2+1442−5·2
Answer:
1412
Step-by-step explanation:
2*(3 - 13) + 1442 - (5 * 2)
Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.
6 - 26 + 1442 - 10
Now simplify the expression by adding and subtracting the terms.
1412 is the answer.
#teamtrees #WAP (Water And Plant)
Kendrick caught 22 rainbow trout and 18 tiger trout while fishing last month. What percent of the trout were tiger trout?
Answer:81%
Step-by-step explanation:
Answer:
60% tiger trout
Step-by-step explanation:
First, do 22+18= 40
Then, when doing % its always out of 100. So, 100 - 40= 60%
Which means, there were 60% Tiger trout.
Suppose you and your colleagues have identified three reliable and recent polls. Looking at the results of all three, you find their p-values to be: 0.058 0.026 0.045 Barring any major incidents between now and election day, how much evidence do you have to predict your candidate will win the election
Answer:
The answer is "Pretty confident our candidate will win".
Step-by-step explanation:
All the following theories:
[tex]H_o[/tex]: The loss of our candidate
[tex]H_a[/tex]: Our candidate
P values of 0.058, 0.026 and 0.045 are defined.
All values are below 0.10, but 2 of them will be below 0.05, which indicates very good proof of Ha. Therefore, the right reply is that our candidate will win very comfortably.
What is 26/15 as a whole number?
Answer:
1 11/15
Step-by-step explanation:
Which of the
following represents
this graph?
A. y = (x+11
B. y = |x-1|
c. y = xl-1
D. y = |x|+1
Answer:
A. y=|x+1|
Step-by-step explanation:
what I like to use when figuring these out(mainly for homework) is a website called Desmos. You basically just plug in whatever equation/expression in and it will graph it for you. My Algebra teacher even allows me to. So all I did was plug in each equation until it matched the graph presented. Hope this helps!
The equation represented by the graph is y=|x+1|
How to determine the equation?The equation is an absolute value graph
The parent function of an absolute value graph is:
y = |x|
The above function is shifted to the left by 1 unit.
This transformation is represented by y=|x+1|
Hence, the equation represented by the graph is y=|x+1|
Read more about function transformation at:
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Combine like terms, showing one step per line. Justify each step using a rule of algebra or "Combining Like Terms." You may need to add extra rows. Expression Justification 7x + 3 + 9x + 15 Given 7x
Answer:
By combining like terms, we have 16x + 18
Step-by-step explanation:
Here, we want to combine like terms
we simply bring terms that are similar together in this case
Thus, we have
7x + 9x + 3 + 15
16x + 18
Suppose your family spent $2438.67 on home energy last year. Estimate the amount spent on heating and cooling, rounded to the nearest hundred.
Answer:
The answer is "1200".
Step-by-step explanation:
The percentage value for [tex]\frac{heating}{cooling}= (48 \% )[/tex]
So,
[tex]\to 2438.67 \times \frac{48}{100} \\\\\\\to 117,056.16 \times \frac{1}{100}\\\\\to 1170.5616\\\\[/tex]
rounding the value into the nearest hundred =1200
A 18,000 gallon swimming pool contains 7000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1100 gallons per hour
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Volume of Water in Pool
Answer:
if you put a point at 5,000 and then another at (20,000, 12)
Step-by-step explanation:
i did the other answer and it was wrong
The graph representing the volume of water in the pool over time is illustrated in the graph.
How to illustrate the graph?The problem can be presented by a simple linear equation:
y =mx + b
where
x is the time (hour)
y is the amount of water in x hours
m is the rate of water being added
b is the initial amount of water
y = 1100x + 7000
Learn more about graphs on:
https://brainly.com/question/19040584
what is an equation of the line that passes through the points (-2,-7) and (-1,-3)
Answer:
y=4x+1
Step-by-step explanation:
First you need to solve for slope using the equation:
y2-y1/x2-x1
It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.
(-3)-(-7)/(-1)-(-2)=-4/-1=4
Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.
(Lets use point one)
-7=4(-2)+b
-7=--8+b
1=b
Last we can put it all together.
y=4x+1
Solve: |x - 4| = 0
Help if can
Answer:
answer is x=4 I'm pretty sure
Step-by-step explanation:
I used a calculator
Answer:
x=4
Step-by-step explanation:
If you plug 4 in, 4-4=0 and the absolute value will not change anything.
Help pls if u can pls
Answer and Step-by-step explanation:
8. HL theorem - Has a right angle and the legs.
9. ASA - Angle A is congruent to angle B because of interior angles theorem, side AM is congruent to side MB because of midpoint theorem, angle AMC is congruent to angle BMD because of vertical angles theorem.
10. SSS - The two sides are congruent, and the hypotenuse is shared, making it congruent.
11. SAS - The two sides are congruent, and the angle between the congruent sides are congruent.
#teamtrees #WAP (Water And Plant)
8. RHS congruence rule
9. SAS congruence rule
10. SSS congruence rule
11. SAS congruence rule
AYOOOOOOOOOO HELP PLESE WILL GIBE BRAINLIST
Answer:
15 rooms
Step-by-step explanation:
1:$32 = x:$500
$32×x = 1×$500
x = $500/$32
x = 15, 625
Answer:
Might as well collect the points. I'm the guy from the comments.
Step-by-step explanation:
What are the coordinates of the image of triangle ABC after dilation with the center (0,0) and the scale factor of 3?
Answer:
1.5
Step-by-step explanation:
1
A line has a slope of 5 and a y-intercept of -2
Answer:
1
Step-by-step explanation:
Answer:
(2/5,0)
Step-by-step explanation:
The equation to find a line is mx+b=y. In this case m is 5, and b is -2.
5x+-2=y
Since we want to find the x-intercept, y has to be 0.
So: 5x+-2=0
5x=2
x=2/5