Answer: See explanation
Step-by-step explanation:
The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:
First side = x
Second side = x + 10
Third side = x + 10 + 10 = x + 20
Forth side = x + 30
Fifty side = x + 40
Therefore,
x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500
5x + 100 = 500
5x = 500 - 100
5x = 400
x = 400/5
x = 80
Therefore, the lengths will be:
First side = x = 80cm
Second side = x + 10 = 80 + 10 = 90cm
Third side = x + 20 = 80 + 20 = 100cm
Forth side = x + 30 = 80 + 30 = 110cm
Fifty side = x + 40 = 80 + 40 = 120cm
What percentage is 150 grams of 400 grams?
1 %
Answer:
37.5%
Step-by-step explanation:
150/450 = .375 = 37.5%
The percentage is 150 grams out of 400 grams will be 37.5%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
It is given that the difference between the initial and final value is 15 grams and the initial value is 400 grams.
Then the percentage is 150 grams out of 400 grams will be
P = (150 / 400) x 100
P = 0.375 x 100
P = 37.5%
Thus, the percentage is 150 grams out of 400 grams will be 37.5%.
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Help pls will give brainliest
Answer:
hello,
answer C
Step-by-step explanation:
area of the rectangle=2b*b=2b²
area of the half cercle= [tex]\\\dfrac{\pi*(\frac{c}{2})^2}{2} =\dfrac{\pi*c^2}{8} \\[/tex]
Area in blue= 2b²-πc²/8
Which function is increasing?
Answer:
A, it's the only one with a number greater then 1
The freezing point of oxygen is –218.790C and hydrogen is –252.80C. A lab is lowering the temperature inside a fridge. Which freezes first? How much colder does it have to be for both to freeze?
Answer:
Oxygen; 34.01°C
Step-by-step explanation:
The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:
-218.79 - (-252.8)
= 252.8 - 218.79
= 34.01
HELP ASAP
THANK YOU!!!
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?
5x + 13y = 232
12x + 7y = 218
The first equation can be multiplied by –13 and the second equation by 7 to eliminate y.
The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
paul leaves for school at 7:25 am he returned home at 3:15 pm how long was paul away from home?
Answer:
8 hours 10 minutes
I hope this answers your question
Answer: paul has been away from home for 7 hours and 50 minutes.
Step-by-step explanation:
Can someone please help me
Answer:
c
Step-by-step explanation:
come on ! you can literally see that in the chart.
how many parts of the gray 3/8 are covered by the gray 1/4 ?
2 parts = 2/8 are clearly covered by 1/4.
2/8 is what part of 3/8 ?
it is the same question as "2 is what part of 3" ?
is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.
is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.
is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !
is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.
once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.
p-83=129 ?????????????????????????
Answer:
p = 212
Step-by-step explanation:
p-83=129
Add 83 to each side
p-83+83=129+83
p =212
Answer:=212
Step-by-step explanation:
add 83 to both sides and then simplify
−83=129
p-83=129
p−83=129
−83+83=129+83
What is the area of the obtuse triangle below?
9
다.
11
O A. 49.5 sq. units
OB. 99 sq. units
C. 10 sq. units
D. 20.5 sq. units
Answer:
49•5
Step-by-step explanation:
A= hb×b÷2
given
hb=height=9
b=base=11
The area of the triangle will be 49.5 square units. Then the correct option is A.
What is the area of the triangle?Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,
A = 1/2 x 11 x 9
A = 11 x 4.5
A = 49.5 square units
The area of the triangle will be 49.5 square units. Then the correct option is A.
More about the area of the triangle link is given below.
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Please answer this
simplify too
Answer:
x^2-3x
pls mark me brainliest
Step-by-step explanation:
4x(x+2)-x(3x+5)
4x^2+8x-3x^2-5x
x^2-3x
tìm nghiệm của đa thức 2x² + 5x
Answer:
this is this because of PTI
Step-by-step explanation:
pto explain it to me on Monday and Friday Saturday morning
Answer:
[tex]2x^2+5x[/tex]
[tex]=2xx+5x[/tex]
[tex]=x\left(2x+5\right)[/tex]
Hope it helps u
Please help me with this
Please help explanation if possible
Answer:
160= 2W + 2L ; W = L –16
2W+2L=160 ] ÷2
W+L= 80
W=L–16
____o____o___
L-60+L= 80 —> 2L= 96
L=48
W=L–16 —> w= 48-16 =32
W=32 ; L=48
I hope I helped you^_^
10 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches
Answer:
110.5 cubic inches
Step-by-step explanation:
Base is parallelogram, so area is
A = 4.7×5 = 23.5
Height(h) is 4.7, so volume is,
V = A×h
= 23.5×4.7
= 110.45 ≈ 110.5
Answered by GAUTHMATH
what is the commutative property for 4xy
PLEASE ANSWER QUICKLY
Answer:
[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]
Jia baked two kinds of muffins. She baked 27 blueberry muffins. The number of cranberry muffins she baked is represented by the equation shown.
27 ÷ 3 = 9
Which statement accurately compares the number of blueberry muffins and the number of cranberry muffins?
Jia baked 3 times as many blueberry muffins as cranberry muffins.
Jia baked 9 times as many blueberry muffins as cranberry muffins.
Jia baked 3 times as many cranberry muffins as blueberry muffins.
Jia baked 9 times as many cranberry muffins as blueberry muffins.
Answer:
she baked 3 times as many cranberry than blueberry muffins
Step-by-step explanation:
i think that because 9×3=27
the amount of the cranberry muffins are 9
Help anyone can help me do the question,I will mark brainlest.
Answer:
552
Step-by-step explanation:
I'm almost certain this is correct. Only one step is rounded.
Answer: 942 - 225*sqrt(3)
This is roughly equivalent to 552.29
The unit for the area is in square cm, or cm^2.
The two area values above are based on pi = 3.14, so they are approximations.
============================================================
Explanation:
The radius of the circle is r = 30 because OA = 30.
The full circle has area A = pi*r^2 = 3.14*30^2 = 2826 cm^2 approximately
However, we only want 120/360 = 1/3 of this full area to get the area of the pizza slice. So the area of the pizza slice is approximately (1/3)*2826 = 942 cm^2
This is not the final answer, but helps get us there.
What we just calculated was the approximate area of the entire figure: the yellow area plus the white triangle.
If we can find the area of the white triangle, and subtract it off, then we'll find just the area of the yellow region only.
-----------------------
The SAS (side angle side) area formula for a triangle is
Area = 0.5*p*q*sin(R)
where p,q are the sides and angle R is between those sides.
Here we have p = q = 30, which are sides OA and OB, and we have R = 120 degrees as the central angle.
So the area of triangle AOB is...
Area = 0.5*p*q*sin(R)
Area = 0.5*30*30*sin(120)
Area = 450*sqrt(3)/2
Area = 225*sqrt(3)
This value is exact.
-----------------------
The area of the yellow region is therefore
(area of full figure) - (area of triangle)
(942) - (225*sqrt(3))
942 - 225*sqrt(3)
This is approximate because we used pi = 3.14 as an approximation earlier.
You could then use your calculator to say
942 - 225*sqrt(3) = 552.288568
This rounds to 552.29
If you help me, you will get this cookie
Answer:
B. 7y - 15
Step-by-step explanation:
Simplifying
10y + -3(y + 5) = 0
Reorder the terms:
10y + -3(5 + y) = 0
10y + (5 * -3 + y * -3) = 0
10y + (-15 + -3y) = 0
Reorder the terms:
-15 + 10y + -3y = 0
Combine like terms: 10y + -3y = 7y
-15 + 7y = 0
Solving
-15 + 7y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 7y = 0 + 15
Combine like terms: -15 + 15 = 0
0 + 7y = 0 + 15
7y = 0 + 15
Combine like terms: 0 + 15 = 15
7y = 15
Divide each side by '7'.
y = 2.142857143
Simplifying
y = 2.142857143
Answer:
b. 7y-15
Step-by-step explanation:
First, write out the expression
1. [tex]10y-3(y+5)[/tex]
To simplify the expression distribute the -3 to the terms within the paratheses.
2. [tex]10y-3y-15[/tex]
Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted
3. [tex]7y-15[/tex]
This means that B is the correct answer.
757divide 100=to in hours and minutes
Answer:
Step-by-step explanation:
757 minutes = 12 hours 37 minutes
What's the angle sum of a polygon having 7 sides.
Answer:
900°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 7 , then
sum = 180° × 5 = 900°
i  genuinely dont know help
Answer:
-13 1/2 < -6/8
Step-by-step explanation:
*Any negative in either the numerator or denominator will make the entire fraction negative.
1/2 = .5
-13 1/2 = -13.5
-6/8 = -3/4
-3/4 = -0.75
-6/8 = -0.75
-13 1/2 = -13.5
Which means:
-13 1/2 < -6/8
Hope this helped.
Answer:
[tex] < [/tex]
Step-by-step explanation:
[tex] \frac{6}{8} [/tex]
Is close to 0 (to positive) you can use a time line to determine which is a correct answer
The computer technician charges $20 per visit plus $35 per hour. If the computer technician works for 2 hours, what will be the cost?
$75
$90
$55
Answer:
90
Step-by-step explanation:
To solve this problem we need to set up an expression
35x+20
35 is the cost per hour, and 20 dollars is the visit fee.
x is the amount of hours the CT can work
So if we plug in the amount for the number of hours from the problem we get
35(2)+20
Which becomes 70+20 which is 90.
Hope thsi helps!
The computer technician works for 2 hours will take total charges equal to $90 .
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7
According to the question
The computer technician charges $20 per visit plus $35 per hour.
i.e
Let hours he work = x
therefore,
Total charge of computer technician in equation = 20 + 35x
Now,
As the computer technician works for 2 hours the cost will be
By using equation
Total charge of computer technician in dollars = 20 + 35x
where x = 2
so,
= 20 + 35*2
= $90
Hence, the computer technician works for 2 hours will take total charges equal to $90 .
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can someone pls help me
On the last option, since you can substitute y=3x+1 into the other equations to solve for x.
x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI
anyone know collage level algebra 2? I need help
Evaluate the series: image Question 1 options: A) 392 B) 249 C) 420 D) 406
Answer:
The required sum is 392
Step-by-step explanation:
Given the sum as shown;
[tex]\sum \left \77} \atop {a=1}} \right. (3a^2-4)[/tex]
When n = 1
f(1) = 3(1)²-4
f(1) = 3 - 4
f(1) = - 1
When n = 2
f(2) = 3(2)²-4
f(2) = 12 - 4
f(2) = 8
When n = 3
f(3) = 3(3)²-4
f(3) = 27 - 4
f(3) = 23
When n = 4
f(4) = 3(4)²-4
f(4) = 48 - 4
f(4) = 44
When n = 5
f(5) = 3(5)²-4
f(5) = 75 - 4
f(5) = 71
When n = 6
f(6) = 3(6)²-4
f(6) = 108 - 4
f(6) = 104
When n = 7
f(7) = 3(7)²-4
f(7) = 147 - 4
f(7) = 143
Taking their sum
Sum = f(1)+f(2)+(3)+f(4)+f(5)+f(6)+f(7)
Sum = -1 + 8 + 23 + 44 + 71 + 104 + 143
Sum = 392
Hence the required sum is 392
The cross-section of a searchlight mirror is shaped like a parabola. The light bulb is located 3 centimeters from the base along the axis of symmetry. If the mirror is 20 centimeters across at the opening, find its depth in centimeters. (Round your answer to the nearest tenth if necessary.)
The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.
A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.
It helps in maximizing the output of light in one direction.The equation of the cross-section of the parabola is - [tex]y^{2} = 4ax[/tex], where a is the focus and x is the depth of the mirror from its origin.Given:
a = 3
y = [tex]\frac{20}{2}[/tex] cm = 10 cm
Solution:
from the equation [tex]y^{2} = 4ax[/tex]
[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]
putting x, 10 cm in the equation
[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]
thus, the depth of the mirror would be - 8.33 cm
Learn more about other problems of the parabola:
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in the first quarter austin played for 4 minutes and 30 seconds. wyatt played for 310 seconds who had more playing time
Answer:
wyatt
Step-by-step explanation:
4:30 mins is 270 seconds
the height of the glass is 7cm and
the radius is 3cm If the glass is
half fill with water what will be
the answer
