Answer:
C
Step-by-step explanation:
Since the figures have equal perimeters we can equate them, thus
4(2p - 4) = 4p + 36 ← distribute left side
8p - 16 = 4p + 36 ( subtract 4p from both sides )
4p - 16 = 36 ( add 16 to both sides )
4p = 52 ( divide both sides by 4 )
p = 13
Substitute p = 13 into either of the 2 expressions, then
4p + 36 = 4(13) + 36 = 52 + 38 = 88 → C
The value of perimeter is found as 88 units. The correct option is (C).
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
As per the question the perimeters are equal.
The following equation can be written as,
4(2p - 4) = 4p + 36
⇒ 8p - 16 = 4p + 36
⇒ 4p = 52
⇒ p = 13
Thus, the perimeter value can be obtained by substituting p = 13 in 4p + 36 as below,
⇒ 4 × 13 + 36 = 88
Hence, the perimeter value is 88 units.
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At a school fair, students were challenged to hit one of the small congruent circles on the large rectangular board with a ball. Find the probability of hitting any small circle. Type answer as a percent.
Answer:
4.66%
Step-by-step explanation:
The probability of hitting any small circle is the combined are of the three circles divided by the area of the rectangle.
p(circle) = (combined are of the the circles)/(area of rectangle)
area of circle = (pi)r^2
area of rectangle = length * width
p(circle) = [3 * (pi)r^2]/(length * width)
p(circle) = [3 * (3.14159)(3^2)]/(52 * 35)
p(circle) = [27(3.14159)]/(1820)
p(circle) = 0.0466 = 4.66%
Answer: 4.66%
PLEASE HELP ME ASAP!!!! A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and
the circle? (Use 3.14 for x and round to the nearest whole number.)
12 inches
12 inches
31 in?
68 in 2
108 in 2
125 in 2
Answer:
Depending on the shaded area, it will be less than 113 in², so not the last option
Step-by-step explanation:
Area of a circle is A= πr²
if it fits in 12 inch sides, 12 i the diameter and 6 is the radius
A= 3.14(6)²
A= 113 in²
Then, find what the shaded area is
In the science lab Shad found that a candle
used 60 out of 270 ml of trapped air before
going out. What percent of the air did the
candle use?
I’m
Answer:
22.22%
Step-by-step explanation:
60/270times 200%
f(x) = -2x^2 – 5x+1
h(x) = 3(x+3)^2 – 11
h(f(-1)) =
I hope this helps you
A net of a three-dimensional figure is shown.
5 ft
10 ft
6 ft
pls help me it is due in 6 minutes
Express in exponential form.
log327 = 3
Answer:
3^3 = 27
Step-by-step explanation:
How you right ANY log in Exponential form is like this:
Log_x Z = y
x^y = Z
So...
Log_3 27 = 3
3^3 = 27
simplyfi. (9g^10p^8)^2
im confused pls help
So the right answer is 9g^20p^16
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex] = 9 {g}^{20} {p}^{16} [/tex]
Step-by-step explanation:
[tex](9 {g}^{10} {p}^{8} ) ^{2} \\ 9 {g}^{10 \times 2} {p}^{8 \times 2} \\ = 9 {g}^{20} {p}^{16} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
HELP ME ASAP!!!! THIS JUST TWO QUESTIONS BUT THEY AREN'T DIFFICULT
Answer:
3.6 and 8.4
Step-by-step explanation:
you put it into proportions
?/12= 30/100
you do 30 times 12
then divide it by 100
?/12 = 70/100
multiply 70 and 12
then divide it by 100
what is 16789 plus 1313333
Answer:
1,330,122
Step-by-step explanation:
16789+1313333= 1,330,122
Miguel finished his English assignment in 1/3 hours. Then he completed his history assignment in
3/5 hours. What was the total amount of time Miguel spent doing these two assignments?
Write your answer as a fraction in simplest form.
Answer:
14/15
Step-by-step explanation:
Th total amount of time Miguel spent doing the two assignments is 14/15 hours.
To find the total amount of time Miguel spent doing the two assignments, to add the time it took for each assignment.
Miguel spent 1/3 hours on his English assignment and 3/5 hours on his history assignment.
To add these fractions, to have a common denominator. The least common multiple (LCM) of 3 and 5 is 15.
Converting the fractions to have a denominator of 15:
1/3 = 5/15 (multiply numerator and denominator by 5)
3/5 = 9/15 (multiply numerator and denominator by 3)
Now add the fractions:
5/15 + 9/15 = 14/15
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The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.
Answer:
23
Step-by-step explanation:
y+2=-5(x-5)
=-5x+25
subtract 2 from the left side and subtract it from the 25
y=-5x+23
The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.
hope it help
Consider the enlargement of the triangle. A smaller triangle with side lengths 9 millimeters and 6 millimeters. A larger triangle with side lengths x millimeters and 16 millimeters. Which proportional statements are true for finding the value of x? Check all that apply. StartFraction 6 over x EndFraction = StartFraction 9 over 16 EndFraction StartFraction 6 over 16 EndFraction = StartFraction 9 over x EndFraction StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction StartFraction 9 over x EndFraction = StartFraction 16 over 6 EndFraction StartFraction 9 over x EndFraction = StartFraction 6 over 16 EndFraction
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The proportional statements that are true for finding the value of x in the enlargement of the triangle are:
6/x = 9/16
9/x = 6/16
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use the property of similar triangles to set up these proportional statements.
Since the two triangles are similar, their corresponding sides are in proportion to each other.
We can set up the proportion:
smaller side length / larger side length = corresponding smaller side length / corresponding larger side length
Substituting the given side lengths, we get:
6 / 16 = 9 / x
Now,
Solve for x, we can cross-multiply and simplify:
6x = 9 x 16
x = 24
Substituting x = 24 into the other proportional statement.
9 / 24 = 6 / 16
Cross-multiplying and simplifying.
144 = 144
which is true.
And,
The other proportional statements are not true for finding the value of x.
Thus,
The proportional statements that are true for finding the value of x in the enlargement of the triangle are:
6/x = 9/16
9/x = 6/16
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What is the value of x
Answer:
X=14
Step-by-step explanation:
Please help me quick
Answer:
93 degrees
Step-by-step explanation:
a cup is filled with 80 mL of water. every second, 3ml are poured out. after how long will there be 45 ml left?
Answer:
11.67 sec
Step-by-step explanation:
Water poured out: 35 ml.
35/3
11.67 sec
Solve each Multi-Step equation.
-6(-6n + 2)=-228
Answer:
-6
Step-by-step explanation:
-6(-6n + 2)=-228
distribute -6
36n -12 = -228
add 12
36n= -228+12
36n= -216
divide 36
n = -61. If Salwa constructs a triangle using her protractor, and the first two
angles she constructed were 55° and 105°, what will the third angle be
when she is done?
80°
30°
20°
55
Answer: 20°
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Angle 1 = 55°
Angle 2 = 105°
The sum of the three interior angles of a triangle is always 180°.
So:
180 = 55+105 + x
Where x is the missing angle.
Solving for x:
180-55-105 =x
20°=x
Feel free to ask for more if needed or if you did not understand something.
Mary can type six letters in 20 minutes, Maggie can type five letters in 20 minutes, and Su Ying can type two letters in 20 minutes. Working together, and assuming that each letter is of the same length, how many minutes will it take them to type 45 letters?
Answer:
Step-by-step explanation:
After 20 minutes, will all of them working together, they would have typed 13 letters. Then after another 20 minutes, it would be 26. Then 39. But after that is gets tricky. Mary types a letter every 3 minutes. Maggie types a letter every four minutes. and Su Ying types a letter every 10 minutes. After 6 minutes, the total would go to 42 letters. Then another 3 minutes it would be 44 letters. And finally, Su Ying finishes it. Taking a total of 70 minutes, or 1 hour and 10 minutes.
Mark Brainliest Please, And I'm Glad I Could Help. (If I Did) :) Have A Good Day!
4b2 + 5b - 27
Which of the following describes 4 in the expression above?
A.sum
B. product
C. coefficient
D. quotient
Answer:
The answer is C, the coefficient.
Can someone help please
Answer:
I have no idea of what that is
A bag has 5 blue marbles, 1 pink marble and 2 red marbles. I draw a blue marble, put it back and draw again. What is the probability that the second marble is blue?
(A) 1/2
(B) 4/7
(C) 5/8
(D) 5/7
Answer:
C
Step-by-step explanation:
If you do 5+1+2=8 then it has to be out of 8. The only option that is out of 8 is c, and if you have 5 blue then the probability is 5 blue/8 marbles in the bag.
The probability of that second marble is blue is 5/8.
What is probability?
Probability is "possibility that deals with occurrence of random events".
According to the question,
Number of blue marbles = 5
Number of pink marbles = 1
Number of red marbles = 2
Total number of marbles = 5 + 1 + 2 = 8
Formula for Probability P(E) = [tex]\frac{Number of favourable events }{Total number of events}[/tex]
Probability of getting that second marble is blue = 5/8.
Hence, the probability of that second marble is blue is 5/8.
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What is a reasonable range for the given function?
John's parents purchased their first home in the 1980s with a 30-year
mortgage at 17.5%. Their home was purchased for $125,000. What was their
monthly mortgage payment?
A. $1832.91
B. $1872.90
C. $1965.72
D. $1765.92
Answer:
Option A,$ 1,832.91 is correct
Step-by-step explanation:
The monthly payment can be computed using the below pmt formula i excel shown below:
=pmt(rate,nper,-pv,fv)
rate is the monthly rate on the mortgage which is 17.5%/12=0.014583333
nper is the number of months of payment i.e 30*12=360
pv is the amount of the loan which is $125,000
fv is the total amount of repayment which is unknown
=pmt(0.014583333 ,360,-125000,0)=$ 1,832.91
The correct option is A,$ 1,832.91 which is the amount of money they need to pay back on the mortgage for 360 months
The diameter of a circle is 106 in. Find the area of this circle .
Answer:
35298.94
Step-by-step explanation:
pie times radius squared
A quadrilateral has angles that measure 125°, 1150, and 65º.
What is the measure of the fourth angle?
Answer:
If the Angles are 125 + 150+ 65 then the missing angle is 20.
Step-by-step explanation:
All angles need to add up to 360 degrees.
Solve by completing the square with working out please
6x-x^2-7
Answer:
2-(x-3)^2
Step-by-step explanation:
PLEASE SEE THE ATTACHES FILE SOMEWHERE AROUND THIS MESSAGE! I REALLY NEED HELP! PLEASE
Answer:
it is easy. ∠a=29º ∠b=29º
Answer:
Step-by-step explanation:
As we can see, this triangle has 2 equal sides in length, which makes it an isosceles triangle. As the Base Angles Theorem states, the base angles of an isosceles triangle are congruent. In this case, angles a and b are the base angles. We now know they are both congruent, so we'll mark them both as a. Next, we notice that the measure of the other angle is 122°. We also know that the sum of all of the angle measures in a triangle is 180°. Using algebra and what we know so far, we can write this equation:
122°+a+a=180°.
When we solve for a, we get:
122°+2a=180° (add a and a)
2a=58° (subtract 122 from both sides)
a=29°
Since we know a=b, b=29°.
4x2 – 1 = 15
find the justification
Answer:
see below
Step-by-step explanation:
4x^2 – 1 = 15
Add 1 to each side using the addition property of equality
4x^2 -1+1 =15+1
4x^2 =16
Divide each side by 4 using the division property of equality
4x^2/4 =16/4
x^2 = 4
Take the square root of each side
sqrt(x^2)= ±sqrt(4) property of square roots
x = ±2
Find the volume of a cube when it's side measures 2 cm.
Answer:
formula is width x height x length = volume
2x2x2=8
2 x 2 x 2 = 2 cubed so if you know a cube's side you just multiply it by itself twice
8 is the answer
Step-by-step explanation:
Answer:
8
Step-by-step explanation: 2cm+8cm
(4x-25) what help me I forgot
Answer:
x=25
Step-by-step explanation:
4x-25=75
Add 25 to both sides
4x=100
Divide both sides by 4
x=25
x is equal to 25.