Answer:
1.33
Step-by-step explanation:
The sides of a triangle are as follows:
2x – 4
x + 5
3x + 3
Find x if the perimeter of the triangle is 100 in.
Set up an equation and solve.
show work
Answer:
x=16
Step-by-step explanation:
(2x-4)+(x+5)+(3x+3)=100
6x+4=100
6x=96
x=16
Find Area of each shaded sector. Round to the hundredths place.
Check the picture below.
so the area that is not shaded has a total of 90° + 26° = 116°.
a circle has a total of 360°, so the area that is shaded must be 360° - 116° = 244°, and it has a radius of 25.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=25\\ \theta =244 \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (244)(25)^2}{360}\implies A=\cfrac{7625\pi }{18} \\\\\\ A\approx 1330.81 \end{array}[/tex]
Answer:
1330.81
Step-by-step explanation:
I'm not sure if it wanted the individual sectors or the whole shaded region in general, so I just did the latter since it seemed easier. Hope it helps!
Perform the operation
(3x^2-10x+4)+(10x^2-5x+8)
Answer: 13x^2 - 15x + 12
Step-by-step explanation:
[tex]\left(3x^2-10x+4\right)+\left(10x^2-5x+8\right)[/tex]
[tex]=3x^2-10x+4+10x^2-5x+8[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=3x^2+10x^2-10x-5x+4+8[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:4+8=12[/tex]
[tex]=3x^2+10x^2-10x-5x+12[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3x^2+10x^2=13x^2[/tex]
[tex]=13x^2-10x-5x+12[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:-10x-5x=-15x[/tex]
[tex]=13x^2-15x+12[/tex]
Three positive integers a, b, and x form an O'Hara triple (a,b,x) if and only if √a+√b=x. For example, (1,4,3) is an O'Hara triple because √1+√4=3. If (36,25,x) is an O'Hara triple, determine the value of x.
Work Shown:
[tex]\sqrt{a} + \sqrt{b} = x\\\\\sqrt{36} + \sqrt{25} = x\\\\6+5 = x\\\\11 = x\\\\x = 11[/tex]
The required value in (36,25,x) is an O'Hara triple, of x is 11.
Three positive integers a, b, and x form an O'Hara triple (a,b,x) if and only if √a+√b=x. For example, (1,4,3) is an O'Hara triple because √1+√4=3. If (36,25,x) is an O'Hara triple, To determine the value of x.
In mathematics, it deals with numbers of operations according to the statements.
From example,
(1,4,3) is an O'Hara triple because √1+√4=3, in the example sum of the square roots of the first two numbers is equal to the third number. so the value of x in (36,25,x) can be determined in the same manner.
Following the example,
√36+√25=x
6 + 5 = x
x = 11
Thus, the required value in (36,25,x) is an O'Hara triple, of x is 11.
Learn more about arithmetic here:
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A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches. A dartboard consists of a circle inscribed in a square. Izzy randomly throws a dart at the square, and it lands inside the square. To the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? Use 3. 14 for π. 22% 25% 75% 79%.
The probability that the dart lands inside the square but not on the circular dartboard is 0.215
What is the probability?The chances of the happening of any event are called the probability.
The dartboard is in the form of a square and the circle is inscribed in it
The area of the dartboard is [tex]a_d=54\ inch^2[/tex]
Since the circle is inscribed on the dashboard so the diameter of the circle will be the length of the square
[tex]a_d=s^2=64[/tex]
[tex]s=\sqrt{64}=8\ inch[/tex]
Thus the diameter of the circle
[tex]d=8\ \ \ r= \dfrac{8}{2} =4 \ inches[/tex]
Now we will calculate the area of the circle
[tex]a_c=\pi r^2[/tex]
[tex]a_c=\ 3.14\times 4^2=50.24\ inch^2[/tex]
The area of the square outside the circle will be the difference of the area of the square and the area of the circle
[tex]64-50.24=13.76\ inch^2[/tex]
Now to find out the probability of the dart hitting outside the circle will be calculated as.
[tex]\rm Probability = \dfrac{Area \ outside \ circle }{Area \ of \ square}[/tex]
[tex]P= \dfrac{13.76}{64} =0.215[/tex]
Thus the probability that the dart lands inside the square but not on the circular dartboard is 0.215
To know more about probability follow
https://brainly.com/question/24756209
Answer:
22%
Step-by-step explanation:
How do -11.5 and -9.5 compare? Choose the correct symbol
Answer:
-11.5 < -9.5
Step-by-step explanation:
If it's asking foto compare greater or less than, -9.5 is greater than -11.5
Hey there!
Here we are asked to compare the following decimals:
-11.5 and -9.5
how do we compare numbers?
Well, there are 3 symbols that we use:
< (less than)
> (greater than)
= (equal to)
is 11.5 equal to -9.5? nope!
Is -11.5 greater than -9.5?
No, because the decimals are negative.
Is -11.5 less than -9.5?
Yes.
Hence, the correct symbol is
[tex]\boxed{\boxed{\bold{-11.5 < -9.5}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions!
#LearningDoesn'tEnd
:-)
The water level in a well decreased by 6 inches every month due to evaporation. What is the change in the water level after a six month period of time?
Step-by-step explanation:
we don't know what level it was originally at so well use a variable for the unknown number. If you take 6 inches and do that 6 times for each month you will have 36 inches lost so w= water i = inches
w-(6i x 6) = 36
This isn't the best explanation but I hope this helps you
sole for r −13= r/9 +8
Answer:
-189
Step-by-step explanation:
Isolate the r/9 (so subtract the 8 and add it to the other side). Then multiply the 9 out and you should get -189
Work:
-13=r/9 +8
-21=r/9
-189=r
Answer:
-189
Step-by-step explanation:
Khan academy
Determine the number and type of solutions of the quadratic
equation.
- 4x2 - 4x – 1=0
O one imaginary solution
O two real solutions
O one real solution
O two imaginary solutions
Step-by-step explanation:
the degree of a polynomial determines 1:1 the number of solutions.
a quadratic equation (degree 2) has 2 solutions.
the general solution is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -4
b = -4
c = -1
so,
x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)
when we look at the square root
16 - 16
we see that it is 0.
the square root of 0 is 0, and there is no difference between -0 and +0.
so, we get only one (real) solution : 4/-8 = -1/2
but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.
so, I am not sure what your teacher wants to see in this case as answer.
my answer would be 2 real identical solutions.
the distance across the united states from Florida to Washington is 2,802 Miles. this is the longest straight line distance across the united states. how far is it in yards? one mile = 1760 yards
Answer:4931520 yd
Step-by-step explanation:2,
802x1760=4931520yds
answer please !!!!!!
Help me, the question is in the picture
Thank you :)
Step-by-step explanation:
please mark me as brainlest
Answer:
800g gives a better value for money
Step-by-step explanation:
To find which box which gives you better value for money
Divide the gram by the cost of the cereal
1st calculations
--› 500g ÷ $2.5
=> 200
2nd calculations
--› 800g ÷ $3.95
=> 202.5316455696202
so the question that the value is bigger which is 800g= 202.5316455696202 gives you more money value
Which expression is equivalent to (-4y-x)-(3y-9x)?
Answer: Is there any answers to choose from
Answer:
-7y - 8x
the person who answered the question before me is buggin
Which of the following is equal to 213 ÷ 3?
A.
(210 ÷ 3) + (3 ÷ 3)
B.
(210 + 3) ÷ (3 + 3)
C.
(210 ÷ 3) + (210 ÷ 3)
Answer:
210/3+3/3
Step-by-step explanation:
210/3=70+3=73/3=71
213/3=71
The line shown represents the amount of money left on a gift card, y, after Mina buys lattes. After buying 2 lattes, she has $2 left. What is an equation of the line in point-slope form?
Answer:
[tex]y-2 = -3(x-2)[/tex]
Step-by-step explanation:
Find the diagram to the question attached.
The standard equation of a line in point-slope form is expressed as:
[tex]y-y_0 = m(x-x_0)[/tex] where:
m is the slope of the line
[tex](x_0, y_0)[/tex] is coordinate point on the line
First is to get the slope of the line.
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
If after buying 2 lattes, she has $2 left, hence one of the coordinate of the line is (2, 2). We can get the other coordinates from the graph. From the graph, it can be seen that when x = 0, y = 8. Hence the other coordinates is (0, 8)
[tex]m = \frac{8-2}{0-2}\\m = \frac{6}{-2}\\m = -3[/tex]
Hence the slope is -3
Substitute m = -3 and the point (2, 2) into the formula to get the required equation (note that any of the points can be used)
[tex]y-y_0 = m(x-x_0)\\y-2 = -3(x-2)[/tex]
Hence the equation of the line in point-slope form is [tex]y-2 = -3(x-2)[/tex]
Given the following information find the height.Volume=2,178πft³
Answer:
[tex]h = 5.73[/tex]
Step-by-step explanation:
Formula: [tex]V = \pi r^{2} h[/tex]
[tex]2178 = \pi (11)^{2} h[/tex]
[tex]2178 = 121\pi h[/tex]
[tex]2178 = 121 (3.14) h[/tex]
[tex]2178 = 379.94h[/tex]
[tex]h = 5.73[/tex]
A fifth grade class is rising money to buy a microscope for their classroom. They grew tomato plants to sell for 2.75 each.
Part A On one day, they raised 79.75 from selling tomato plants. How many plants did they sell?
Part B The next day, they sold the last 4 plants they had grown. How much money in dollars did they raise in all?
Answer:
Part A -- 29 plants
Part B -- 90.75$
Step-by-step explanation:
79.75 / 2.75 = 29
4 x 2.75 = 11
79.75 + 11 = 90.75
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
One card is randomly selected from a deck of cards. Find the odds in favor of drawing a red card.
Answer:
The probability of selecting a red card is 3/26.
The L.C.M of 7 and 21 is what? first person Brainliest answer
Answer:
[tex]\huge\colorbox{navy}{Answer}[/tex]
[tex]lcm\: of \:7 \:and \:21 = 21 \: \: \: [/tex]
Answer:
21 is the l.c.m of 7 and 21
explanation:
[tex]\sf \bold \mathrm{The\:LCM\:of\:}a,\:b\mathrm{\:is\:the\:smallest\:positive\:number\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]
7 : 7
21 : 3 * 7
.
multiply, 7 * 3 = 21 - which is divisible by both 21 and 7
The emergency brake cable in a truck parked on a steep hill breaks and the truck starts rolling down the hill. The distance in feet, d, that the truck rolls is represented by the function d=f(t)=0.5t2. Using this function, find out how far the truck will roll after 9 seconds.
Answer:
The truck will roll 40.5 feet from top of the hill after 9 seconds.
Step-by-step explanation:
Let be [tex]f(t)[/tex] the distance rolled by the truck in time, measured in feet, whose expression is:
[tex]f(t) = 0.5\cdot t^{2}[/tex]
Where [tex]t[/tex] is the time, measured in seconds.
By evaluating this function at [tex]t = 9\,s[/tex], we find the distance rolled by the truck:
[tex]f(9\,s) = 0.5\cdot (9\,s)^{2}[/tex]
[tex]f(9\,s) = 40.5\,ft[/tex]
The truck will roll 40.5 feet from top of the hill after 9 seconds.
An isosceles triangle has a perimeter of 45 cm. If the two equal sides are each twice as long as the smallest side, what is the length of the smallest side?
A: 3
B: 7
C: 9
D: 15
E: 18
If Nadia is solving x^2 + 8x =24 by completing the square, what number should she add to
both sides?
Answer:
Subtract 24 from both sides.
Step-by-step explanation:
x2+8x=24
Step 1: Subtract 24 from both sides.
x2+8x−24=24−24
x2+8x−24=0
For this equation: a=1, b=8, c=-24
1x2+8x+−24=0
Step 2: Use quadratic formula with a=1, b=8, c=-24.
x=
−b±√b2−4ac
2a
x=
−(8)±√(8)2−4(1)(−24)
2(1)
x=
−8±√160
2
x=−4+2√10 or x=−4−2√10
Answer:
x=−4+2√10 or x=−4−2√10
Answer:
+ 16
Step-by-step explanation:
x² + 8x = 24
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(4)x + 16 = 24 + 16
James has a piece of construction paper with an area of 65 1/4. It is 9 2/3 inches long. What is the width of the piece of construction paper in inches
Answer:
James has a piece of construction paper with an area of 6514inches. It is 293inches long. What is the width of the piece of construction paper in inches?
Step-by-step explanation:
fist cdsddghjjhgfghjkl;'
(x−119)÷7=6
Could anyone please help?
Answer:
x
=
161
Step-by-step explanation:
Multiply both sides of the equation by
7
.
7
⋅
(
x
−
119
)
÷
7
=
7
⋅
6
Simplify both sides of the equation.
Tap for more steps...
x
−
119
=
42
Move all terms not containing
x
to the right side of the equation.
Answer:
161
Step-by-step explanation:
Step 1:
( x - 119 ) ÷ 7 = 6 Equation
Step 2:
( x - 119 ) = 42 Multiply 7 on both sides
Step 3:
x = 42 + 119 Add 119 on both sides
Answer:
x = 161 Add
Hope This Helps :)
Demi solves 30 questions in 10 minutes. Which statement correctly describes the unit rate of questions
per minute
Answer:
She answers 3 questions per minute!!
Step-by-step explanation:
I know this because 3x10 = 30 and if she solves 30 questions in 10 minutes, that means in 1 minute she solves 3 questions.
hello people ~
factorise: 21x²+43-14
Answer:
[tex]\displaystyle [7x - 2][3x + 7][/tex]
Step-by-step explanation:
Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the minus symbol because the B-value is 43, therefore 49 gets the plus symbol, leaving 6 with the minus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 + 43x - 14 \\ \\ [21x^2 - 6x] + [49x - 14] \\ 3x[7x - 2] + 7[7x - 2] \\ \\ \boxed{[7x - 2][3x + 7]}[/tex]
I am joyous to assist you at any time.
[tex]\\ \rm\rightarrowtail 21x^2+43x-14[/tex]
[tex]\\ \rm\rightarrowtail 21x^2+49x-6x-14[/tex]
[tex]\\ \rm\rightarrowtail 7x(3x+7)-2(3x+7)[/tex]
[tex]\\ \rm\rightarrowtail (7x-2)(3x+7)[/tex]
Done!
3) Louise has 500 cents in her piggy bank. Uncle Jim gave her a few cents on his visit.
If Louise has 765 cents, how many cents did Uncle Jim give her?
Answer:
265
Step-by-step explanation:
because she had 500 and now she has 765 so he gave her 265
Answer:
265
Step-by-step explanation:
Because before her Uncle visited she had 500 cents and he gave her a total of ? cents she now has 765.
Meaning what = 765 when you add it to 500.
500 + ?=765. we know 500 + 200=700 but she has 65 more than 700 so s you add that to our answer we get 765.
5 0 0
2 6 5
+______
7 6 5=765
Hope it helps have a great day:)
2. What are the x-intercepts of the graph of the function defined by (x - 2)(2x + 1)?
A. (2,0) and (-1,0)
B. (2,0) and (-3,0)
C. (-2,0) and (1,0)
D. (-2,0) and (3,0)
Answer:
I think A. I got (2,0) and (-0.5,0). Weird.
Step-by-step explanation:
Please help with my algebra
Determine whether the situation involves a permutation or combination. Then, find the number of
possibilities.
In how many ways could you choose 3 side dishes from a menu that offers 5 vegetable side dishes
and 3 starches if you want at least one vegetable and one starch?
The situation involves combination
There are 45 possibilities of choosing the 3 side dishes from the menu
How to determine the number of ways?The given parameters are
Dishes to choose = 3Vegetable = 5Starch = 3The keyword choose means that the situation involves combination.
Given that you want at least one vegetable and one starch, the selections are:
(Vegetable, Starch) = (1,2) and (2,1)
So, the number (n) of ways the dishes can be selected is:
n = 5C1 * 3C2 + 5C2 * 3C1
Apply the combination formula on each expression
n = 5 * 3 + 10 * 3
Evaluate the sum
n = 45
Hence, there are 45 possibilities of choosing the 3 side dishes from the menu
Read more about combination at:
https://brainly.com/question/11732255
The graph shows the yearly balance, in dollars, in an investment account.
5,000
4,000
3,000
amount in dollars
.
2.000
1,000
0
2
4
12
14
6 8 10
number of years
a. What is the initial balance in the account?
Take 2 points
(0,5000)(2,4000)Slope:-
[tex]\\ \rm\Rrightarrow m=\dfrac{4000-5000}{2}=-500[/tex]
Equation in point slope form
[tex]\\ \rm\Rrightarrow y-5000=-500(x)[/tex]
[tex]\\ \rm\Rrightarrow y=-500x+5000[/tex]
Initial amount=y intercept=5000