Answer:
y = 4
Step-by-step explanation:
The perimeter of a polygon is the distance around the polygon. This can be found by adding up all of the side lengths. In this problem, one is given an expression for the perimeter and an expression for each side length. Using the formula for the perimeter, one can substitute in all of the given expressions and solve for the vairable.
(4y + 5) + (3y + 2) + (4y + 5) + (3y + 2) = 58 + 3y
Simplify,
4y + 5 + 3y + 2 + 4y + 5 + 3y + 2 = 58 + 3y
14y + 14 = 58 + 3y
Inverse operations,
14y + 14 = 58 + 3y
-3y -3y
11y + 14 = 58
-14 -14
11y = 44
/11 /11
y = 4
What is the slope of a line that is perpendicular to the line y = 1/6+ 4
+4?
Answer:
y = 6x + 8?
Step-by-step explanation:
The starting equation was unclear but if its perpindecular, flip the given slope. For example, if the slope was 3/4, its perpindecular slope would be 4/3.
Helppppp meeeee!!!!!!!!!!!
Answer and Step-by-step explanation:
When it says (f + g)(x), it means that it wants you to add the functions together.
So, let's add them.
[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)
#teamtrees #PAW (Plant And Water)
Which regular polygon would have each of its interior angles measure 140°?
octagon
nonagon
decagon
heptagon
9514 1404 393
Answer:
nonagon
Step-by-step explanation:
The adjacent exterior angle is 180° -140° = 40°. There are 360°/40° = 9 of those angles around the regular polygon, so it is 9-sided.
The polygon is a nonagon.
Answer:
nonagon
Step-by-step explanation:
i got 100%
A ball is thrown straight up into the air. The height of the ball t seconds after it is thrown is modeled by the equation h(t) = 48t – 16t2. After how many seconds will the ball hit the ground?
A. 1
B. 1.5
C. 3
D. 3.5
Answer:
b
Step-by-step explanation:
gravity
A state university locks in costs for a student once a student starts attending the university. The total cost is $23,500. A student has
the following help in covering the costs of school.
• An academic scholarship of $8,200.
• Other scholarships and grants of $7.400.
Grandparents pay $1,000
.
What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months ?
$690
S820
S1 660
$2 350
Answer:
720
Step-by-step explanation:
24500 (total) subtracted by (10,700 + 5000 + 1600) =7200. 7200 divide by 10 mo=720
If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690
Amount and interestGiven the following information from the question
The total cost of fee = $23,500
Amount got as help;
An academic scholarship of $8,200.
Other scholarships and grants of $7.400.
Grandparents pay $1,000
Amunt she had = 8200 + 7400 + 1000
Amount she had = $16600
Amount remaining = 23500 - 16600
Amount remaining = $6900
If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690
Learn more on the amount here:
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the volume of a rectangular prism is 504 in cube. If the area of the bask is 56 in cube, find its height.
Answer: 9
Step-by-step explanation:
Use the Distributive Property to correctly rewrite or simplify the expression:
21k+13k+9k
Answer:
21k+9k+13, and simplified into 43k.
Step-by-step explanation:
The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)
21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.
Answer:
43k
Step-by-step explanation:
struggle helpppppppp
Answer:
49
Step-by-step explanation:
|-7|=7, and 7*7 = 49
NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest
Find the measure of angle C
show work and explain!
Answer:
Angle C = 45°
Step-by-step explanation:
Hello There!
If you didn't know opposite angles are congruent in parallelograms
So ∠A≅∠C and ∠B≅∠D
So if ∠A = 45° then ∠C also equals 45°
As it is a parallelogram
[tex]\\ \sf\longmapsto <B\cong <D[/tex]
[tex]\\ \sf\longmapsto <A\cong <C[/tex]
<A=45°[/tex][tex]\\ \sf\longmapsto <C=<A=45°[/tex]
Three of the sides will require fencing and the fourth wall already exists. If the farmer has 144 feet of fencing what is the largest area the farmer can enclose ?
Complete question is;
A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 144 feet of fencing, what is the largest area the farmer can enclose?
Answer:
A_largest = 2592 ft²
Step-by-step explanation:
Let the width which is going to be perpendicular to the already existing fourth wall be denoted by y. Since there will be 2, it means total width = 2y.
Since the farmer has 144 ft of fencing and the total width is 2y,it means that the length of the fence will be expressed as;
Length = 144 - 2y
Area of rectangular fencing is;
A = y(144 - 2y)
A = 144y - 2y²
To find the largest area, we will find the first derivative and the equate to 0 after which we plug the value of y back into the area equation to get it.
dA/dy = 144 - 4y
At dA/dy = 0;
144 - 4y = 0
y = 144/4
y = 36 ft
Thus, largest area is;
A_largest = 144(36) - 2(36)²
A_largest = 2592 ft²
The largest area the farmer can enclose with the fence with him will be 2592 square feet.
Let the length of the field = [tex]x[/tex] feet
And the width of the field = [tex]y[/tex] feet
Therefore, area of the rectangular field = Length × Width
A = [tex]x\times y[/tex] square feet
Since, length of the fence = 144 feet
And the farmer has to enclose three sides of the rectangle as shown in the figure attached.
Therefore, length of the fence = length + 2(width)
= [tex](x+2y)[/tex] feet
Hence, [tex](x+2y)=144[/tex]
[tex]x=144-2y[/tex]
By substituting the value of 'x' in the expression for the area of the rectangular field.
[tex]A=(144-2y)y[/tex]
[tex]A=-2y^2+144y[/tex]
Find the derivative of the expression with respect to [tex]y[/tex],
[tex]A'=-4y+144[/tex]
Now equate it to zero to get the value of y,
[tex]A'=-4y+144=0[/tex]
[tex]y=36[/tex]
Now substitute the value of 'y' in the expression of area to get the maximum area enclosed.
[tex]A=-2(36)^2+144(36)[/tex]
[tex]=-2592+5184[/tex]
[tex]=2592[/tex] square feet
Therefore, maximum area the farmer can enclose with the 144 feet of fencing will be 2592 square feet.
Learn more,
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A holiday store is having a sale on bows and rolls of wrapping paper. One sign in the store states, “Buy 1 bow and 1 roll of wrapping paper for only $6.00.” A second sign in the store states, “5 bows and 1 roll of wrapping paper will only cost $10.00.”
In dollars and cents, the cost of a single roll of wrapping paper costs $
.
Answer:
3.00
Step-by-step explanation:
One bow and and 1 roll of wrapping paper cost 6.00$
so the roll by itself would cost 6.00$
3^5 + 6^3 evaluate the expression
Answer:
459
Step-by-step explanation:
because 3^5 is 243 and 6^3 is 216 then add up 243+216=459
I need help on this..... FAST. Think you can help me?
Answer:
.si sey el senocar 18
Step-by-step explanation:.basflone ne ombla
Need help with this question please !!!
Answer: 27
Step-by-step explanation:
Can you please help I am getting graded:) show work too please
Answer: A - 33/100
Step-by-step explanation:
You have to multiply the first fraction by 10 to make 100 the least common denominator - 3/10(10) = 30/100
Add 30/100+3/100 = 33/100
Determine the measure of angle ECB.
Question 1 options:
1)
88.25°
2)
183.5°
3)
176.5°
4)
91.75°
Answer:
4) 91.75
Step-by-step explanation:
7x+20+9x-4=180
16x=164
x=10.25
7(10.25)+20=
71.75+20=91.75
Answer:
You are correct 91.75 is the answer
Step-by-step explanation:
This is a cyclic quadralterial since all the. vertices of the quadralterials touch the circle circumference. Opposite angles are supplementary in cyclic quadralterials. Angle C and Angle D are opposite angles so
[tex]7x + 20 + 9x - 4 = 180[/tex]
[tex]16x + 16 = 180[/tex]
[tex]16x = 164[/tex]
[tex]x = 10 \frac{4}{16} [/tex]
[tex]x = 10.25[/tex]
Plug 10.25 into 7x+20
[tex]7(10.25) + 20 = 91.75[/tex]
You are correct
I WILL GIVE MAX POINTS IF YOU WRITE STEPS AND SOLVE PLZZZZZZ
Answer:
Step-by-step explanation:
so we need two even intergeters that add to 70 when we multiply the bigger by 2 and add the smaller to that soooo
70= 2*y + x
but we can express x in terms of y b/c it's a consecutive even integer soo
(b/c x+2 = y, then x = y -2)
70= 2*y + (y-2)
70 = 2y + y - 2
72 = 3y
24 = y :) nice the bigger is 24 so the smaller is 22
70 = 2*24 + 22
70 = 48 + 22
70 = 70 nice !
bigger = 24
smaller = 22
:)
Answer:
bigger = 24
smaller = 22
Step-by-step explanation:
3. Mateus recebe a visita do seu avô Pedro a cada 15 dias. João, o tio dele, o visita a cada 100
e, devido a escalas de trabalho, a cada 12 dias Mateus vai à praia com seus pais. Um belo dia Mans
recebeu a visita do seu avô, do seu tio e foi à praia com seus pais (com o avô e o tio que o visitavam nese
dia). Quantos dias depois este acontecimento se repetirà?
Answer:
Este acontecimento se repetirá 300 dias depois.
Step-by-step explanation:
Quando os eventos se repetirão no mesmo dia?
Cada evento tem uma frequência.
Eles ocorrem simultaneamente a cada x dias, e x é dado pelo MMC(Mínimo Múltiplico Comum) entre as frequência.
Neste problema:
A cada 15 dias o avô visita.
A cada 100 dias o tio visita.
A cada 12 dias vai à praia.
Quantos dias depois este acontecimento se repetirá?
Os três no mesmo dia vão se repetir após x dias, em que x é dado pelo MMC de 15, 100 e 12
MMC de 15, 100 e 12
Fatorando simultâneamente estes valores:
15 - 100 - 12|2
15 - 50 - 6|2
15 - 25 - 3|3
5 - 25 - 1|5
1 - 5 - 1|5
1 - 1 - 1
Então:
mmc(15,100,12) = 2*2*3*5*5 = 300
Este acontecimento se repetirá 300 dias depois.
Two angles are complementary. The sum of
measurement of the first angle and half the measurement of the second
is 65. Find the measures of
the angles.
Answer:
x+y= 90
x+ y/2= 65
90-65= 25
y= 2*25= 50
x=40
Step-by-step explanation:
hi can you guys help me with this pleaseee
Answer:
For the fractions question:
1/4<1/2
3/4<2/3
5/7<3/5
8/9>8/10
7/10<6/8
Hope this helps! (:
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=38°, and OM = 87 feet. Find the length of NO to the nearest tenth of a foot.
Answer:
111.4
Step-by-step explanation:
trust
Samuel says that 25% is greater than 0.3.
Is he correct? Explain your answer.
Answer: No 0.3 as a percentage is larger than 25%
Step-by-step explanation:
'percent' is 'over hundred'
if you convert 0.3 into a percentage it becomes 30 percent
Samuel says that 25% is greater than 0.3 is not correct statement.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
The percentage is denoted by the symbol %.
The percentage is used or most important application is to compare any two quantities. We compare one quantity against another, with the second quantity rebased to 100 by using percentage.
Samuels says that 25% is greater than 0.3 is a false.
25% when it is converted to decimals.
25 divided by 100
we will get 0.25
and if 0.3 is converted to percentage
0.3×100=30%
We know that 30% is greater than 25%.
hence Samuel says that 25% is greater than 0.3 is not correct.
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Scott is saving coins in a jar. Last week, the jar was 1/4 full. This week, he added more coins, and the jar is now 1/2 full. How much of the jar did Scott fill this week?
Answer:
Scott filled (1/2 - 1/4) of the jar, or 1/4 of the jar this week.
Let me know if this helps!
Answer:
He filled his jar 1/4 more this week.
Step-by-step explanation:
The explanation is very simple, you know that he added 1/4 coins last week and this week he added more coins that filled the jar half way:
1/2 - 1/4 = 1/4
or you can also use:
1/4 + 1/4 = 1/2
Megan bought two baseball gloves
and one baseball bat. She paid for 40%
with her birthday money and her uncle
paid the remaining amount. How much
did Megan pay and how much did her
uncle pay?
well if she payed 40% and an average baseball glove costs $120 – $300
and a bat costs $75-$185. that would mean she spent around $197 or $485
which would mean
40% out of 197 is 78.8
and 291
i believe is the correct answer
10 PONITS
Can someone help me
Answer:
1st step
Step-by-step explanation:
7/10 is greater than 1/2
Answer:
Step 1
Step-by-step explanation:
please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.
Answer:
Step-by-step explanation:
(9x-22) + 61 + (5x-7) + 34 = 360
14x = 294
x = 21°
:::::
arc GK = 9x-22 = 167°
:::::
arc HJ = 5x-7 = 98°
:::::
arc HGK = arc GK + 61 + 34 = 262°
:::::
arc GKJ = arc GK + 34 = 201‡
Angles in a circle add up to 360 degrees.
[tex]\mathbf{x = 21}[/tex][tex]\mathbf{GK = 167}[/tex][tex]\mathbf{HJ = 98}[/tex][tex]\mathbf{HGJ = 262}[/tex][tex]\mathbf{GKJ = 201}[/tex]The given parameters are:
[tex]\mathbf{GH = 61}[/tex]
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{JK = 34}[/tex]
[tex]\mathbf{KG = 9x - 22}[/tex]
The sum of angles in a circle is 360 degrees.
So, we have:
[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]
So, we have:
[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]
[tex]\mathbf{14x = 294}[/tex]
Divide both sides by 14
[tex]\mathbf{x = 21}[/tex]
GK is calculated as:
[tex]\mathbf{GK = 9x - 22}[/tex]
[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]
[tex]\mathbf{GK = 167}[/tex]
HJ is calculated as:
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]
[tex]\mathbf{HJ = 98}[/tex]
HGJ is calculated as:
[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]
[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]
[tex]\mathbf{HGJ = 262}[/tex]
GKJ is calculated as:
[tex]\mathbf{GKJ =GK + KJ}[/tex]
[tex]\mathbf{GKJ = 167 + 34}[/tex]
[tex]\mathbf{GKJ = 201}[/tex]
Read more about angles in a circle at:
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Find the radius or diameter of the circle with the given dimentions.
r = 21 ft
Answer Choices:
a. 50 ft
b. 42 ft
c. 131.9 ft
d. 10.5 ft
Answer:
b. 42
Step-by-step explanation:
Your trying to find the diameter since radius is r
diameter is always double of radius
Brainliest will be given ASAP question below!
Answer:
3/32
Step-by-step explanation:
9/16 × 3/4=27/144=3/16×1/2=3/32
Please answer right! Thank you I will give brainalist
Answer:
C [tex]\leq 34[/tex]
Step-by-step explanation:
Answer:
34is the answer gor the question
Which of these are expressions?
Check all that are true.
a/9
2 + 5
7
8 × 9 - 5 = 72 - 5
0 + 0
Answer:
a/9
2+5
0+0
maybe 7
an expression is any problem that does NOT have an equal sign
Answer:=7
Step-by-step explanation:
2+5
0+0
maybe 7
an expression is any problem that does NOT have an equal sign