Answers
Answer:
area is equal to 198 cm^2
Step-by-step explanation:
the height h of the left triangle can be obtained by
Pytagoras theorem:
[tex]5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12[/tex]
the, the area of the left triangle is
[tex]A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30[/tex]
the area of the right triangle is
[tex]A_2=\frac{2*12}{2} \\A_2=12[/tex]
and the area of the rectangle in the middle is
[tex]A_3=(13)(12)\\A_3=156[/tex]
Por tanto, el area total sera
[tex]A=A_1+A_2+A_3\\A=30+12+156\\A=198[/tex]
Related Questions
3x+8
What is the solution of
3x+8 /X-4>_
0?
oxs-orx>4
x 8
*<-3 or x>4
Osx<4
0 - 3 < x <4
Answers
Answer:
a
Step-by-step explanation:
The solution of the inequality 3x + 8 / (x -4 ) ≥ 0 is x≥ -8/3.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We have the inequality,
3x + 8 / (x -4 ) ≥ 0
Now, simplifying the inequality
3x + 8 ≥ 0
3x ≥ 0-8
3x ≥ -8
x ≥ -8/3
Learn more about Inequality here:
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If f(x)= -4x + 3 and g(x) = 3x² + 2x - 4 find (f+g)(x)
Answers
Answer:
A
Step-by-step explanation:
We have the two functions:
[tex]f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4[/tex]
And we want to find (f+g)(x).
Note that this is the same thing to f(x)+g(x). Therefore:
[tex]\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}[/tex]
We simply substituted them for their equations.
Simplify. Combine like terms:
[tex]=(3x^2)+(-4x+2x)+(3-4)[/tex]
Add:
[tex]=3x^2-2x-1[/tex]
Hence, our answer is A.
can someone teach me how to isolate variables in algebra
Answers
How many different 3-digit numbers can you write if you may use only the digits 2, 5 and 7, each of them no more than once?
Answers
Answer:
dream is cool................
During November, $83 was spent on travel. In December, $65 was spent on travel. How much was the percent of decrease? Round to the nearest tenth of a percent.
Pls Help
Answers
Answer:
Percent decrease is 21.7%
Step-by-step explanation:
The percent decrease is calculated as:
[tex]Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100[/tex]
Given in the question that:
Cost on travel during November = $83
Cost on travel during December = $65
The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.
[tex]Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18[/tex]
Now, for percentage decrease
[tex]Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..[/tex]
Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%
Hence,
Percent decrease is 21.7%
A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 50 cm/s, and if there is no damping, determine the position u of the mass at any time t. (Use g = 9.8 m/s2 for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its equilibrium position at time t seconds). What does u(t) equal?When does the mass first return to its equilibrium position? (What does t in seconds equal?)
Answers
Answer:
Step-by-step explanation:
Given that:
mass m = 100 g = 0.1 kg
Length of the spring = 5 cm = 0.05 m
The set in motion from the equilibrium position u(0) = 0
The set in motion from its equilibrium position with a downward velocity u'(0) = 50 cm/s = 0.5 m/s
The spring constant (k) = [tex]\dfrac{0.1 \times 9.8}{0.05}[/tex]
The equation of the system is expressed as:
[tex]\dfrac{1}{10} u'' + \dfrac{98}{5} u =0[/tex]
By estimating the characteristics equation, we have r = ± 14[tex]i[/tex]
Thus; the general solution is:
[tex]u(t) = c_1cos \ 14t + c_2 sin 14 \ t[/tex]
By applying the initial condition:
u(0) = 0
⇒ 0 = [tex]c_1[/tex]
∴
[tex]\dfrac{du}{dt} = ( - c_1 \ sin 14 t )\times 14 +14c_2 \ cos 14 t[/tex]
u'(0) = 0.5
0.5 = 14 × c₂
c₂ = 0.5/14
c₂ = 1/28
∴
[tex]\mathbf{u(t) = \dfrac{1}{28} sin 14 t}[/tex]
Equating u(t) = 0, we have t = π/14sec as the time when the mass first returns to its equilibrium position.
please help it’s timed
Find the slope of the line
Answers
Answer:
WE{OFGiuhu argoih
Step-by-step explanation:
Answer:-3
Step-by-step explanation:
y2-y1/x2-x1=m
-3-3/6-4=-6/2=-3
Dianna and lucile walked to their granfather's house to visit him. It took them 2/5 of an hour to get there and 1 ½ hours to get back home. How much time did they spend in going both ways?
What is asked? __________
What are given? __________
Write the mathematical sentece________
Solution and answer _______
Answer it please
Answers
how to do it and the answers are above
i hope this help you
if you don't understand, please comment ✔️✔️✔️
Answer:
1h 54 mins
Step-by-step explanation:
What is asked? : time did they spend in BOTH ways
What are given? : time they go and back
Write the mathematical sentece :
[tex]( \frac{2}{5} \times 60) + (1 \frac{1}{2} \times 60) = [/tex]
Solution and answer : (24) + (90) = 114 mins
= 114 mins - 60 mins
= 1h 54 mins
A shelf holds 12 books in a row. How many ways are there to choose five books so that no two adjacent books are chosen
Answers
Answer:
792 ways
Step-by-step explanation:
We can solve this using the combination formular
[tex]nCr= \frac{n!}{r!(n-r)!}[/tex] where n represents the total number of objects/items, and r represents the number of items being chosen at a time.
Hence, in this case, n = 12, r = 5, which is = [tex]nCr= \frac{12!}{5!(12-5)!}[/tex] = 792.
Therefore, there are 792 ways to choose five books so that no two adjacent books are chosen.
Ellen borrowed some money from her brother. She paid him back by giving him the same amount every week.The graph shows how much DO after each week.
A. 18 weeks
B.6 weeks
C.12 weeks
D. She will never pay it back
Answers
I’m 100% sure!
Find all the factor pairs for 84 and complete the equations.
84 =
X 84
84 = 2 x
84 = 3 x
84 = 4 x
84 = 6 x
84 =
X 12
Answers
2. 84 = 2 x 42
3. 84 = 3 x 28
4. 84 = 4 x 21
5. 84 = 6 x 14
6. 85 = 7 x 12
Hope this helps!
Is he sus or WHAT? I saw him venting
Answers
Answer:
He is so sus.... and cute! ^-^
Step-by-step explanation:
If m<1=55, find m<8.
Answers
If x = 4, what is the value of 4/5 (2 + 7) − 2/3 (2 + 7)?
A 2
B 5
C 15
D 22
Answers
Answer:
d=56
Step-by-step explanation:
Write a word problem using "less than"
someone help
Answers
Answer:
Sandra had 500 beads in a jar, her sister, Dandra has 300 beads less than Sandra. How many beads does Dandra have?
:)
Hii what’s the answer???
Answers
Answer:
d
Step-by-step explanation:
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends $28.20 on 5 mugs at the sale price.
I'm not that good at math
Answers
So since the price of 5 mugs is $28.20, we can work out the price of one mug with the sale.
We do this by doing:
$28.20 / 5
Which gives us:
$5.64 per mug during the sale.
To work out the price of a mug without the sale, we simply add on the amount that has been taken off (which we know is $1.75 because the question says so):
$5.64 + $1.75 = $7.39
Therefore we can conclude the price of a mug without a sale is $7.39
And the price of a mug during the sale is $5.64.
I hope this helps!
Options:
-does
- does not
Answers
Answer:
It does!
Step-by-step explanation:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Source: Columbia.edu
(I'm greedy and want points )
A candy store sells caramels for $9/pound and chocolate for $12/pound. How much more is the cost of 2 pounds of caramel than 1.5 pounds of chocolate? *Show your work*
Answers
Answer:
The caramel is $0 more than the chocolate. In other words, they cost the same.
Step-by-step explanation:
Since we have 2 pounds of caramel and caramel costs $9/pound, the cost of 2 pounds of caramel can be found by this equation:
2lbs · $9 = $18
Since we have 1.5 pounds of chocolate and chocolate costs $12/pound, the cost of 1.5 pounds of chocolate can be found by this equation:
1.5lbs · $12 = $18
To find how much bigger the cost of caramel is than that of chocolate, we will subtract the total cost of the chocolate from the total cost of the caramel.
$18 - $18 = $0
Eva is picking fruit at a farm. The fees are $5 for entry to the farm, $2.50 per pound of blueberries, and $2 per pound of apples she picks to take home. Let b be the number of pounds of blueberries and a be the number of pounds of apples Eva picked. Which of the following expressions could represent how much Eva pays?
I'm just curious
Answers
Answer:
The required expression is: [tex]y = 5 + 2.50b + 2a[/tex]
Step-by-step explanation:
Given
[tex]Entry = \$5[/tex]
[tex]Blueberry = \$2.50[/tex]
[tex]Apple = \$2[/tex]
Required
Write an expression for this scenario
If 1 pound of blueberry cost $2.50
then b pounds = 2.50 * b
If 1 pound of apple cost $2
then a pounds = 2 * a
The required expression (y) is then calculated as
[tex]y = Entry\ Fee + Blueberry = Apple[/tex]
[tex]y = 5 + 2.50 * b + 2 * a[/tex]
[tex]y = 5 + 2.50b + 2a[/tex]
Hence, the required expression is: [tex]y = 5 + 2.50b + 2a[/tex]
Biologists tagged 134 fish in a lake on January 1. On February 1, they returned and collected a random sample of 56 fish, 14 of
which had been previously tagged. On the basis of this experiment, approximately how many fish does the lake have?
Answers
Answer:
There should be 120 fishes approximately in the lake
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
Answers
Answer:
man the answers are 40 10 30
Step-by-step explanation:
the perimeter of a rectangle is at most 66 inches. the length is 2x + 6 inches and the width is x - 3 inches. write and solve an equation or inequality to find the value of x.
Answers
Answer:
Step-by-step explanation:
2( 2x + 6 ) + 2( x - 3 ) ≤ 66
3x - 3 ≤ 33
x ≤ 10
x ∈ ( - ∞ , 10]
Answer:
12
Step-by-step explanation:
that is the answer
Which one is an expression, which one is an equation, or neither? Picture below
Answers
Answer:
Check Explanation
Step-by-step explanation:
5b = 25 (equation)
5b (neither)
5(3+4) (expression)
what is the missing value in the table below?
Answers
3 * 60 = 180
The missing number in the given table is 180 minutes.
To find the value of x in the equation 2/120 = 3/x, we can use cross multiplication.
First, we multiply both sides of the equation by 120
(2/120) * 120 = (3/x) * 120
To simplify, we have:
2 = 3 * (120/x)
2/3 = (120/x)
To solve for x, we can multiply both sides of the equation by x:
(x) * (2/3) = (120/x) * (x)
2x/3 = 120
To isolate x, we can multiply both sides of the equation by 3/2:
(2x/3) * (3/2) = 120 * (3/2)
x = 180
Therefore, the value of x in the equation 2/120 = 3/x is x = 180.
Learn more about equations here;
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PLZ HELP I BEG YOU !!!!!!!!!!1
Answers
Answer:
The Answers are right under you.
Also the explanation:)
Answers
Answer:
276 guests were at the wedding.
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{4+5}{12}[/tex] = [tex]\frac{9}{12}[/tex]
1 - [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] of the guests are 69 guests ⇒ 69 × 4 = 276 guests were at the wedding.
PLEASE HELP meeeeee asap
Answers
I’m 100% sure
Explanation:
If 3 is 56.5, then 4 would be:
180-56.5= 123.5
Since 3 and 4 are parallel to 7 and 8, they have the same angle sizes.
Therefore, angle 8 has the same answer as angle 4, which is 123.5. Answer is C.
HELP ME PLSS!!!
The coordinate points below show part of data collected by a computer company interested in how fast people type as they get older, where x is age in years and y is typing speed in words per minute.
(5, 12), (13, 25), (12, 22), (18, 45), (15, 39), (15, 32), (16, 33), (17, 40), (7, 17)
If this data was plotted on a scatterplot, would there be a relationship between the variables? If yes, explain the relationship.
Answers
Answer:
I think that it is no.
Step-by-step explanation:
Becasue 15, 39 is more than the 16, 33
The store buys easels for 10.20 each he marks up the cost by 75% to get the selling price what is the selling price of each easel? show your work