If the perimeter of the triangle is 40 cm, find the area of the triangle.
The area of the triangle is, ? cm2.
Answer:
102 cm²Step-by-step explanation:
Perimeter is:
P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8Comparing the value:
8x - 8 = 40 8x = 48x = 8 cmAre formula:
A = 1/2ahReplacing values:
A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²Answer:
60cm²
Step-by-step explanation:
To find :-
The Area of the triangle .We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .
→ 2x - 4 +5x - 13 + x + 9 = 40cm .
→ 8x - 8 = 40cm
→ 8x = 40+8 cm
→ 8x = 48 cm
→ x = 6cm .
We know that the area of the triangle is half the product of base and height .
Base = x + 9 = 15cm Height = 2x -4 = 8cm .→ A = 1/2 × b × h
→ A = 1/2 × 8cm × 15cm
→ A = 60cm²
Pleaseee I need help
Answer:
32
Step-by-step explanation:
2x-16 + 4x+4 =180
6x=180+12
6x=192
x=32
I hope this helps, have a good day
Planet X is 1/2 of a light-year away from Earth. Planet Y is 3/10 of a light-year away from Earth. How much farther away is Planet X?
Answer:
1/2= 5/10
5/10 - 3/10 = 2/10 or 1/5
so planet X is 1/5 of a light-year closer
Step-by-step explanation:
Answer:
5/10
Step-by-step explanation:
Simplified
what is the b in equation y=2x+12
Answer:
b = 12
Step-by-step explanation:
y = mx + b
b = 12
Answer:
the b is 12
Step-by-step explanation: y=mx+b
−2, −1, 4 , find all numbers listed that are solution of the equation. (Careful, there might be more than one that work!) If you find several solutions, separate them with a comma. If none of the given numbers work, just enter DNE for 'does not exist'.
k3−k2+k−4=−2k2+k−4
Answer:
k3-k2+k-4=−2k2+k−4 that is the answer
if the slope is -2/5 and the y-intercept is 5/2 the slope-intercept form is y=5/2x-2/5 true or false
Answer:
is false
explanation
just trust me
HELP ME 50 POINTS RN
Answer:
A
Step-by-step explanation:
Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds
The local car dealership has noticed a 3:1
ratio for people purchasing SUV's to those
purchasing trucks. If they have room for
128 trucks and SUV's on their lot, how
many trucks should they have available to
sell?
Answer:
32 trucks.
Step-by-step explanation:
3:1
Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)
$1,250 at 5% simple interst for 2 years
Answer:
2625
Step-by-step explanation:
Simple Interest Formula
P*R*T
1250*1.05*2=2625
Answer:
After two years, there will be a total of $1,375 paid and $125 paid in interest.
Step-by-step explanation:
Since, 5 x 2 = 10, first we should find 10% of $1,250.
1,250 x 0.10 = 125
$1,250 + $125 = $1375
Therefore, after two years, there will be a total of $1,375 paid and $125 paid in interest.
Hope this helps! :D
Solve the equation sin^2x=3Cos^2X.
I would love to graduate...so thanks in advance!
Answer:
240°
Step-by-step explanation:
[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]
20z-8 please helpppp
Answer: 4(5z−2)
Step-by-step explanation: Brainliest pls
Can some one please help me i'll give brainliest..please actually answer all the questions. please don't not answer the right way!!!
1. List the ordered pairs for the graphed points.
Write your answer in the space below.
2. How many students were absent on day 3? Explain how you know.
Write your answer in the space below.
3. On which day were the greatest number of students absent? How many students were absent that day?
Write your answer in the space below.
4. Is the relation represented by the graph a function? Why or why not?
Write your answer in the space below.
Answer:
#1
(1,7) , (2,10) , (3,5) , (4,7) , (5,9)#2
5 students were absent on day 3#3
Day 2 had the greatest number of absent students. There were 10 absent students on that day.#4
The relation represented by the graph is a function. When performing the vertical line test, the vertical line does not intersect the graph more than once; therefore, it is a function.Step-by-step explanation:
Hope this helps
Random variation in a process indicates __________; whereas non-random variation indicates process __________.
Answer: b. Stability/instability
Step-by-step explanation:
Random variation in a process indicates stability; whereas non-random variation indicates process instability.
When there is random variation in a process, it means that the process is stable and under control such that the only variations are those expected to be in the process.
When the variation is non-random however, it points to instability in process because this variation is special and not inherent in the process.
Freddy is buying wings and nachos for a party. A box of 10 wings cost $10.00. Nachos cost $4.00 per tray. He must spend less that $40.00 on the wings and nachos.
Using x to represent each box of wings and y to represent each tray of nachos, create an inequality that correctly represents the possible number of boxes of wings and trays of nachos Freddy can be and still be within his budget.
Answer:
10x + 4y < 40
Step-by-step explanation:
The creation of an inequality is as follows"
The cost of the 10 wings box = $10
The cost of nachos = $4 per tray
And, the amount that can be incurred less is $40
Based on the information,
The equation would be
10x + 4y < 40
Hence, the inequality equation is 10x + 4y<40
What is the answer to 0.5x(y - z) in distributive Property?
F is inversely proportional to d 2 . When F = 8 , d = 6 Work out d (positive value rounded to 2 DP) when F = 7
Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = [tex]\frac{k}{6^2}[/tex] = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
288 = k
F = [tex]\frac{288}{d^2}[/tex] ← equation of proportion
When F = 7 , then
7 = [tex]\frac{288}{d^2}[/tex] ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = [tex]\frac{288}{7}[/tex] ( take the square root of both sides )
d = ± [tex]\sqrt{\frac{288}{7} }[/tex] ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
Answer:
when F = 7, d = 6.41
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k/x
where 'k' is called the constant of proportionality
Given that F is inversely proportional to d.
F ∝ 1/d
F = k /d²
When F = 8, d = 6, we need to find k
k = Fd²
k = 8×(6)²=288
Now, we need to find d when F = 7
so substitute k = 288, F = 7 in the equation
F = k /d²
d² = k/F
d² = 288/7
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]d=\sqrt{\frac{288}{7}},\:d=-\sqrt{\frac{288}{7}}[/tex]
but, we need to take the positive value of d, so
[tex]d=\sqrt{\frac{288}{7}}[/tex]
[tex]d=6.41[/tex]
Therefore,
when F = 7, d = 6.41
Please help!! I included a pic of the problem to make it easier.
Find the quotient (z/w)
z = 6(cos(pi/3) + isin(pi/3), w = 3(cos(pi/6) + isin(pi/6)
[A]2(cos(pi/6)+isin(pi/6)
[B]2(cos(pi/90)+isin(pi/90)
[C]18(cos(pi/2)+isin(pi/2)
[D] None of these
Answer: i think it is D
we have:
[tex]\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }[/tex]
Step-by-step explanation:
The points (10, 8) and (19, 17) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
Step-by-step explanation:
First, find the slope using the two given points and the slope equation.
[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]
We can enter [tex]m[/tex] into our slope-intercept form now.
[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]
Now, plug in one of the given points to solve for b.
[tex]8=10+b\\b=-2[/tex]
So our final form is:
[tex]y=x-2[/tex]
Hope this helps!
The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.
What is the general equation of a straight line?The general equation or the slope - intercept form of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is a line such that points (10, 8) and (19, 17) lie on this line.
The given coordinates are (10, 8) and (19, 17).
First, we will find the slope of the line as follows -
m = (17 - 8)/(19 - 10)
m = 9/9
m = 1
So, the equation of the line will be -
y = x + c
Now, we will find the y - intercept. As the line pass through the point
(10, 8), we can write -
8 = 10 + c
c = 8 - 10
c = -2
So, the equation of the line will be y = x - 2.
Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.
To solve more questions on straight line, visit the link below-
https://brainly.com/question/27730503
#SPJ2
Giving brainless! Don’t answer if you don’t know I’ll flag you.
Answer:
The sales tax is $0.40
Step-by-step explanation:
10 x 0.04 = 0.4
0.04 is 40% when multiplying
A bricklayer can build a wall of a certain size in 5 hours. Another bricklayer can do the same job in 4 hours. If the bricklayers work together, how long would it take to do the job?
a. 9h
b. 2(2/9)h
c. 20h
d. 4(1/2)h
Answer:
b
Step-by-step explanation:
It will take [tex]\frac{20}{9}[/tex] hours as per linear equation to complete the wall.
What is a linear equation?A linear equation is an equation where the variable of the equation has the highest power of degree one.
Given, the 1st bricklayer build a complete wall of certain size in 5 hours.
Therefore, that bricklayer build [tex]\frac{1}{5}[/tex]th of the complete wall in 1 hour.
Similarly, the 2nd bricklayer build a complete wall of certain size in 4 hours.
Therefore, that bricklayer build [tex]\frac{1}{4}[/tex]th of the complete wall in 1 hour.
If they work together, in 1 hour they build a total of ([tex]\frac{1}{5}[/tex]+[tex]\frac{1}{4}[/tex])th = [tex]\frac{9}{20}[/tex] of the complete wall.
Hence, they will complete the wall in (1÷[tex]\frac{9}{20}[/tex]) hours = [tex]\frac{20}{9}[/tex] hours.
Learn more about a linear equation here: https://brainly.com/question/13738061
#SPJ2
Add the Fractions: Simplify if possible
10 1/3 + 1 2/3 =
Answer:
I believe the answer is 12
Answer:
the correct answer would be 12
Step-by-step explanation:
10 1/3 + 1 2/3
31/3 + 1 2/3
31/3 + 5/3
=12
Hope this helps, happy holidays!!
Demons answer this for me.
Answer:
Step-by-step explanation:
if you have negative numbers of x (this means negative meters) then the equation transform them into negative yards.
then replace y by 40yd in the equation like
40 = 1.09x
x = 40/1.09 = 36.7 meters
so in a 40yd race, there are 36.7 meters.
Which of the following expressions is in simplified form?
9 j - 3 - j
4 w - 5
1 1/2 n + 2.9 n
-2 + 1.4 m + 0.5
Answer:
The answer is 4w-5 its in its simplest form
Lauren and her sister are buying their mom a watch for her birthday. The original price of the watch is $50, but the store is having a 25% off sale on watches. The sales tax in Lauren’s state is 6%.
How much will Lauren and her sister pay for the watch including tax?
What percent of the original price do Lauren and her sister pay for the watch, after paying tax?
Step-by-step explanation:
75×50/100= 37.5$
37.5×6/100=225/100=2.25$
37.5+2.25= 39.75$
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards?
Answer:
1 1/3 feet long
Step-by-step explanation:
Answer:
Each of the seven smaller boards will be 1.3 feet long
Step-by-step explanation:
We must divide 9 1/3 by 7
9 1/3 / 7 = 1.333286
We now have to round to the nearest tenth which would give us:
1.3
So our final answer would be 1.3
100 points!!
Nicole has 425 candy bars to sell for a fundraiser. Let C be the number of candy bars. Let P be the amount made from selling the candy bars. Suppose that P = 2C - 300 gives P as a function of C.
Identify the correct description and appropriate set of values for the domain of the function.
Group of answer choices
the number of candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets
the number of candy bars; the set of all real numbers from 0 to 300
the amount made from selling the candy bars; the set of all real numbers from 0 to 300
the amount made from selling the candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets
Answer:
its c
Step-by-step explanation:
i just too quiz and it siad this
Answer:
c
Step-by-step explanation:
took the quiz and got 100% on it
A= 12.8m
B=13.9m
C=12m
D= 7m
Answer:
C: 12m
Step-by-step explanation:
We can solve this by using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex]
For this triangle
a= x b= 5 c= 13
We now have the equation
[tex]x^{2} + 5^{2} =13^{2}[/tex]
If we simplify this we get
[tex]x^{2} + 25 = 169[/tex]
Next, we subtract 25 from both sides
[tex]x^{2} = 144[/tex]
Finally, if we take the square root of both sides of the equation, we find that
x= 12
what should be added
2x ^3+ 3x^2+8x-4
to get 0 ?
Answer:
-2x^3 - 3x^2 -8x + 4 should be added
Step-by-step explanation:
Here, we want to know what should be added to the expression to get 0
What we should do in this case is to simply negate the values we have in the expression already
Adding the negated values will give 0
So, we have that;
-2x^3 - 3x^2 -8x + 4
what is. the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
Answer:
x=2
Step-by-step explanation:
We first distribute this. So we have 15x-10 = 10 + 6 +2x.
Then we move the variable to one side and have 13x= 10+10+6
Simplify to get 13x = 26.
x=2
A three-and-a-half foot stick is cut into two pieces. One piece is
1.65 ft long. How long is the other piece?
Answer:
1.4
Step-by-step explanation:
3.05 is the length of the stick and 1.65 is one part if the stick si we subtract 1.65 from 3.05 to find the length of the other piece