Step-by-step explanation:
Given that,
Length, l = (3d+2) m
Width, b = (d+5) m
(a) Perimeter of the rectangle,
P = 2(l+b)
P = 2(3d+2+d+5)
= 2(4d+7)
P = 8d+14
(b) If P = 30 cm.
8d+14 = 30
8d = 16
d = 2
(c) l = (3(2)+2) = 8 m
b = (2+5) = 7 m
The area of this rectangle,
A = lb
A = 8×7
A = 56 cm²
Hence, this is the required solution.
Need help please urgent. Correct answers only no links.
Answer:
the exact answer is 314.159265359
Step-by-step explanation:
but it simplifies to 314.16
¿Cuáles son las famosas razones trigonométricas y sus inversas?
Answer:
Razones trigonométricas inversas: cosecante, secante y cotangente. ... Dado un triángulo rectángulo, definimos la cosecante, la secante y cotangente de un ángulo como las razones inversas del seno, coseno y tangente, respectivamente.
Step-by-step explanation:
espero y te ayude
Adealer gained a 10% profit by selling an article for birr 330.00 .What was the original price of the article
Answer:
$297
Step-by-step explanation:
Given data
Percent profit=10%
sales price= $330
% profit= (sales price-cost price)/sales price* 100
let the cost price be x
Substitute
10= (330-x)/330* 100
cross multiply
10= (33000-100x)/330
10*330= 33000-100x
3300=33000-100x
3300-33000=-100x
-29700=-100x
29700=100x
x=29700/100
x=297
Hence the cost price is
cost price=$297
A swimming pool is in the shape of a right triangle. One leg has a length of 15 feet and the hypotenuse is √325 feet. Estimate the length of the other leg. Round to the nearest integer, if necessary
Answer:
10 feet
Step-by-step explanation:
a^2+b^2=c^2
15^2+B^2=365
225+b^2=365
b^2=100
b=10
can someone help me please?
3. There are 6645 students at Tech Middle School, and
20% of the stredents are 7th graders.
How
many
Students are 7th graders?
Answer:
.20
Step-by-step explanation:
The word percent literally means "Out of 100". With that being said, 20% can be written as a fraction, mixed number or whole number as follows: 1/5 (fraction), 20/100 (mixed number) or .20 (whole number).
Answer:
1329 students
Step-by-step explanation:
20/100 ×6645
Reduce the fraction 20/100 with 20
So..20 goes into 20 1 time and 20 into 100 5 times
1/5×6645
Use 5 as the greatest common factor now
so...5 into 5 goes 1 time and 5 into 6645 goes 1329
1/1 × 1329 = 1329
Or... you could just convert 20% into a decimal by carring the . two places to the left
which is 0.2
0.2 × 6645 = 1329
Can someone please help me with this
Answer:
[tex]2x^2+x+7y[/tex]
Step-by-step explanation:
We are given the equation [tex]2(x^2+3y)+x+y[/tex] and are asked to simplify it.
To do so, we need to first get rid of the parenthesis, since x² and 3y aren't like terms, it isn't solvable unless we try another way, which is the distributive property.
2 is next to the parenthesis, in the distributive property, we would multiply the number outside of the parenthesis with all the numbers inside the parenthesis. Therefore :
[tex](2*x^2) + (2*3y) + x +y[/tex]
[tex]2x^2 +6y+x+y[/tex]
Now that we have like terms, we can add them together :
[tex]2x^2 + 6y+x+y[/tex]
[tex]2x^2 + x+7y[/tex]
Answer:
Hello! Your answer would be, 2[tex]x^{2}[/tex] + [tex]x[/tex] [tex]7y[/tex]
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia
Hey can yall help me
what's 9+10+2=
Answer:
21
Step-by-step explanation:
: P
Answer:
21
Step-by-step explanation:
umm that's kindergarten math-
5. THINK SMARTER There are 246 children at
Debbie's school. There are 328 children
at Jacob's school. Without adding, explain
how you could estimate the number of
children at the two schools.
Answer:u can estimate 246 to 200 and u can estimate 328 to 300
Step-by-step explanation:
add 34
Line d is parallel to line c in the figure below.
Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.
Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
Step-by-step explanation:
What was his mistake????
Whats the área and circumference of a circle if the radius is 6in?
Answer:
C≈37.7in
Step-by-step explanation:
Answer:
Hello!
Area: 113.04
Circumference: 37.68
Hope this helps
Last year, Nicholas started babysitting to earn extra spending money. Over the summer, he tracked how much money he earned at each babysitting jobThis box plot shows the results What percent of the time did Nicholas earn $25 or less?
Answer:
25%
Step-by-step explanation:
The 5 values of the given box plot are;
The minimum value = 20
The first quartile, the 25th percentile point, Q₁ = 25
The median or second quartile, the 50th percentile point, Q₂ = 30
The third quartile, the 75th percentile point, Q₃ = 40
The maximum value = 55
The range = The maximum value - The minimum value
∴ The range = 55 - 20 = 35
We note that Nicholas earned $25 or less from the minimum value up to first quartile, Q₁, which is the 25th percentile point, where we have 25 percent of the data points
Therefore, the percent of the time Nicholas earned $25 or less is 25 percent of the time.
8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.
Answer:
s = 24.05
Step-by-step explanation:
Given
v² = u² + 2gs ← substitute v = 25, u = 12, g = 10
25² = 12² + (2 × 10 × s)
625 = 144 + 20s ( subtract 144 from both sides )
481 = 20s ( divide both sides by 20 )
24.05 = s
Explain how to solve this.
Answer:
c=74
Step-by-step explanation:
48+58=106
180-106=74
Answer:
D is 122 A is 58 B is 48 C is 74
Step-by-step explanation:
Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time she trains, she bikes 0.5 mile farther than she did the previous time.
A. Use summation notation to write an arithmetic series to represent the total distance Melissa has biked after she has trained n times.
B. Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What is the least number of times Melissa must bike for her total distance biked during training to exceed 60 miles? (3 points)
9514 1404 393
Answer:
A. d = ∑[k=1,n] (4.5+0.5k)
B. 9
Step-by-step explanation:
A) The series has first term 5 and common difference 0.5. The general term is given by ...
an = a1 +d(n -1)
an = 5 + 0.5(n -1) . . . . substitute numbers for this series
an = 4.5 +0.5n . . . . . . simplify
The sum is the sum of these terms:
[tex]\displaystyle \boxed{d_n=\sum_{k=1}^n(4.5+0.5k)}[/tex]
__
B) The sum of terms of an arithmetic series is the average of the first and last, multiplied by the number of terms. We want to solve for n to make the sum greater than 60.
[tex]\displaystyle d_n=\frac{n}{2}(5 +4.5 +0.5n)\\\\\dfrac{n}{2}(9.5+0.5n)>60\\\\n(19+n)>240\qquad\text{multiply by 4}\\\\n^2+19n+9.5^2>240+9.5^2\qquad\text{complete the square}\\\\n+9.5>\sqrt{330.25}\qquad\text{square root}\\\\n>18.17-9.5=8.67\qquad\text{positive root, subtract 9.5}[/tex]
Melissa's total distance will first exceed 60 miles the 9th time she trains.
Answer:
A. d = ∑[k=1,n] (4.5+0.5k)
B. 9
Step-by-step explanation:
A) The series has first term 5 and common difference 0.5. The general term is given by ...
an = a1 +d(n -1)
an = 5 + 0.5(n -1) . . . . substitute numbers for this series
an = 4.5 +0.5n . . . . . . simplify
For the equation 3(7 + x) = 3x + k, what value of k will create an equation with no solutions?
PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT
Answer: A- 12.5 million
Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.
Answer:
40 million
Step-by-step explanation:
125% of x
125/100 * x = 1.25x
x+ 10 = 1.25x
(subtract x from both sides)
10 = 1.25x - x
10 = 0.25x
(divide both sides by 0.25)
10/0.25 = x
x= 40
Combine these radicals
3V2-5V2
Plz help
Will give Brainlyest
Answer:
b
Step-by-step explanation:
because i said so and because i am tired and tired and tired
Answer:
[tex] - 2 \sqrt{2} [/tex]
Step-by-step explanation:
Subtract 5√2 from 3√2.
[tex] - 2 \sqrt{2} [/tex]
Hence, the answer is Option A. in decimal form the answer will be −2.82842712.
Is 4.53 a real number?
yes or no
Answer:
yur
Step-by-step explanation:
Answer:
yeah it's a decimal so yes
Which equation matches the function shown in the graph?
A. y=2sin(1/2x)+1
B. y=3sin(2x)
C. y=2sin(2x)+1
D. y=3sin(1/2x)
Answer:
the answer is A. y=2sin(1/2x)+1
Step-by-step explanation:
I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph
The function that matches the graph is y= 2 sin(1/2x) +1.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
let y = A sin ([tex]\omega[/tex]x + Ф)+ k
T= 4π, w= 2π/T = 1/2
Now, midline= 1/2( max + min)
=1/2(3-1)= 2/2
k=1
and, A= 3-1 = 2
So, y= 2 sin(1/2x + Ф) +1
as, Ф=0
So, y= 2 sin(1/2x) +1
Learn more about graph here:
https://brainly.com/question/16608196
#SPJ5
Write the following percentages as a fraction in simplest form
Of the fifth graders in oak elementary, 6/8 are in band. What fraction of the fifth graders are not in band?
Answer:
2/8 of the fifth graders are not in band
Step-by-step explanation:
To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).
could someone please help
Answer:
70
Step-by-step explanation:
the formula for a triangle is b (base) x h (height), then ÷2. there are two tringles together to make this shape, their bases are 10 (5+5) and their heights are 7. so if you do the math for the 2 triangles then add them together you get the area for the entire shape.
The volume of a sphere with radius length r is 4r3. What is the volume of a sphere with a radius length of 4?
Answer:
164 cubic units
Step-by-step explanation:
volume of a sphere = (4/3) x (n) x (r^3)
If volume = 4r^3
volume = 4 x (4)^3 = 164 cubic units
You rent an apartment that costs $1200 per month during the first year, but the rent
is set to go up 12% per year. Write a recursive formula to show what the rent is during
the nth year of living in the apartment.
Answer:
So first we have to figure out what $1200 per month for 12 months is since it was a year. 1200x12=14,400 a year which is outrageous for an apartment just saying.
Then we find out what 12% of the 1200 is and then add it to 1200.
To find the percentage of that we need to know how many times 12 fits into 100% 12 fits into 100 a total of 8.33333333333 times.
So now we divide 1200 by 8.33333333333 to see what 12% of it is.
1200 divided by 8.33333333333 is 144. So 1200+144=1344.
Now since one of the nine years has passed already we only have 8 remaining.
Now we see what 1344 a month for 12 months is 16,128 a year.
Now we multiply 16,128 by 8 to get the outcome of 8 more years. So 16,128x8=129,024
Thats it pls mark brainliest
Step-by-step explanation:
After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of \dfrac{1}{15} 15 1 start fraction, 1, divided by, 15, end fraction every 6.76.76, point, 7 minutes, and can be modeled by a function, NNN, which depends on the amount of time, ttt (in minutes). Before the medicine was introduced, there were 90{,}00090,00090, comma, 000 bacteria in the Petri dish. Write a function that models the number of bacteria ttt minutes since the medicine was introduced.
Complete Question
After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.
Answer:
Nt = 90,000 × e^t/15
Step-by-step explanation:
The function that models the number of bacteria t minutes since the medicine was introduced is written as
Nt = No×e^λt
Where:
No = The initial number of the bacteria after time t
Nt = The current number of the bacteria after time t
λ = Decay constant or factor
t = Time in years
From the question,
No = 90,000 bacteria
Nt = The current number of the bacteria after time t
λ = 1/15
t = Time in years
Therefore, our function is written as:
Nt = 90,000×e^1/15 × t
Nt = 90,000 × e^t/15
Answer:
90,000*(1/15)^t/6.7
Step-by-step explanation:
Khan told me it's correct.
The width of a rectangle room is 80 percent of its length. WHat is the area of the room?
Answer:
180 squared ft
Step-by-step explanation
80% = 80/100 = 40/50 = 4/5
L = 15
W= 4/5 of 15 = 12
Area = LxW
Area = 15x12 = 180 squared ft
The height of a seat on a Ferris wheel can be modeled as
H (t) = 47 sin (Fot+ 3 + 52, where tis time in seconds and h(t) is
height in feet.
How far off the ground is a seat when it is at the top of the Ferris wheel?
A. 99 feet
B. 94 feet
C. 104 feet
D. 52 feet
Answer:
Step-by-step explanation:
Its 99
I just took it
How many triangles can be made with only 60 centimeters, 100 centimeters, and 40 centimeters?