Answer:
C) y=2/3x+12
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(14-10)/(3-(-3))
m=4/(3+3)
m=4/6
simplify
m=2/3
y-y1=m(x-x1)
y-10=2/3(x-(-3))
y-10=2/3(x+3)
y=2/3x+6/3+10
y=2/3x+2+10
y=2/3x+12
If a circle has a circumference of 43.96 units, what is the approximate area of the circle? (Use 3.14 as an
approximation of pi.)
Answer:
If we were to use 3.14 as pi . . .
43.96/3.14 = 14
14/2 = 7
7 x 7 = 49
49 x 3.14 = 153.86
153.86 would be the correct answer
But if we were to use pi. . .
615.1279985 would be the answer.
Answer:154 rounded to whole number
Step-by-step explanation:
C=pi ×d
43.96 = 3.14 ×d
d= 43.96÷3.14
d= 14
So radius is 7 (half of diameter)
Area=3.14×7×7
=153.86
write 3.402 as a fraction.
Answer:
that as a fraction is 3 and 201 over 500
Answer:
3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction
Step-by-step explanation:
what is 2/3 of 1/4 THANKS!
Answer:
1/6
Step-by-step explanation:
[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]
Answer:
1/6
Step-by-step explanation:
(2/3)(1/4)=2/12=1/6
The diagram shows a solid triangular prism. Height 6cm width 4cm length 10cm the prism is made from wood with a density of 0.8 g/cm3 work out the mass of this prism
Answer:
Step-by-step explanation:
The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
What is the volume of a prism?The volume of a prism is the total space occupied by it.
What is the density of a prism?The density of a prism is the mass occupied by the 1 cubic unit volume of the prism. The formula for the density of a prism is:
Density = Mass/Volume
How do we solve the given question?In the question, we are given a triangular prism of height 6cm, width 4cm, and length 10cm. Its density is given as 0.8 g/cm³.
We first find the volume of the prism.
The volume = Area of triangle*length = ((1/2)*6*4)*10 cm³ = 120 cm³.
Let the mass of the prism be m grams.
We know the density of the prism is given by the formula,
Density = Mass/Volume
or, 0.8 = m/120
or, m = 120*0.8
or, m = 96
∴ The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
Learn more about density at
https://brainly.com/question/1354972
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Use the following diagram to find the sum of angle A and angle C.
A. 45 degrees
B. 90 degrees
C. 115 degrees
D. 180 degrees
E. 270 degrees
Answer:
[tex]a + c = 180 - 65 = 115[/tex]
AB is parallel to ED.
ACD and BCE are straight lines.
AB = 8 cm
AC = 4.8cm
BC = 6.4cm
ED = 20 cm
Work out the length of BE.
Answer:
BE = 22.4 cm
Step-by-step explanation:
Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CE}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values
[tex]\frac{6.4}{CE}[/tex] = [tex]\frac{8}{20}[/tex] ( cross- multiply )
8 CE = 128 ( divide both sides by 8 )
CE = 16 cm
Then
BE = BC + CE = 6.4 + 16 = 22.4 cm
Which expression is not a trinomial?
A. x^4+x-2
B. 3x^3 +3^3
C. 2x^3 + x^2 - 4x - 2x^3 +1
D. x^2+x+1
Answer:
Option D.
Its a Polynomial or Binomial of index 2
Can someone help me please
Answer:
its A
Step-by-step explanation:
it is a because its -9 down and 7 to the right
True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)
Answer:
Hello! Your answer is, True
Step-by-step explanation:
Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥
Plant A is 14 inches tall and growing at a rate of 0.5 (½) inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height?
Answer:
They will both have a height of 16 inches in 4 days.
Step-by-step explanation:
Hope this helps :D
If two zeroes of the polynomial f(x)=x3−4x2−3x+12 are √3 and -√3 then find its third zero.
Answer:
Third zero is 4
Step-by-step explanation:
The polynomial is;
f(x) = x³ − 4x² − 3x + 12
We are given 2 zeros which are √3 and -√3.
This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.
Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.
I have attached this long division method and we have the third factor as; (x - 4)
Equating to zero, we have x = 4 as the third zero of the polynomial
Two sides of a triangle are labeled as 7 units and 12 units. What is the range of
possible values for the third side?
F 2 < x < 17
G 7 < X < 12
H 5 < x < 17
J 5 < x < 19
A bag contains 3 red marbles, 6 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
8.236%
Step-by-step explanation:
P(G,G,G) = 8/17 x 7/16 x 6/15
= 7/85 (simplified)
7/85, in decimal form, is .082352
.082352 in percent form is 8.236%
0.16x^2-49, factor using special products
Answer:
(.4x+7)(.4x-7)
Step-by-step explanation:
PLEASE hello please help i’ll give brainliest
Answer:
A
Step-by-step explanation:
First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9
Mia bicycles every day. Based on the graph, if Mia rides for 1.5 hours, how many miles does she bike?
A. 5
B. 10
C. 15
D. 20
Answer:
ITS C IT IS C!!!!!!!
Solve for v.
6v – 4v – 3 = 9
V =
= [?]
Answer: v=6
Step-by-step explanation:
Answer:
6 it's because I did this stuff in 6th grade.
Step-by-step explanation:
2 x ? -3=9. 2 x 6 - 3 = 9
1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?
Answer:
10 guests
Step-by-step explanation:
Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.
Let us represent additional guests = g
Lazer Zone charges $50 for parties, and an additional $10 per guest.
=$50 + $10 × g
50 + 10g
For fun place
Fun Palace charges $90 for parties, and an additional $6 per guest.
= $90 + $6 × g
90 + 6g
For how many ?
We equate both Equations together
= 50 + 10g = 90 + 6g
Collect like terms
10g - 6g = 90 - 50
4g = 40
g = 40/4
g = 10
Hence, g = 10 guests
Therefore, the number of guests for which the cost of both companies is the same is 10 guests
Tim asked 128 people whether or not they eat a healthy diet and whether they get regular exercise. The result of Tim's survey are shown in the Venn diagram below. One number is missing from the diagram.
You are reading an article in your school newspaper
24 6 2 9 3=5 make it true
Answer:
24-6-9-2-3+2+2-3 = 5
Step-by-step explanation:
I hope this helps!
PLEASE HELP PLEASE HELP
Answer:
B) 24
Step-by-step explanation:
The area of the rectangle is 48 units (8 x 6).
The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.
b = base
h = height
A = [tex]\frac{1}{2}[/tex](6)(8)
A = 24
Answer:
[tex]24[/tex]
Step-by-step explanation:
If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.
Which is bigger 1/7 or 0.14
Answer:
Both are equal
Step-by-step explanation:
please mark me brainliest
Answer:1/7
Step-by-step explanation:
Find each sum. (3n2 – 5n + 6) + (–8n2 – 3n – 2) = –11n2 – 8n – 4 –11n2 – 2n + 4 –5n2 – 8n + 4 –5n2 – 2n – 4
Answer:
-5n² - 8n + 4
Step-by-step explanation:
Given the expression
(3n²– 5n + 6) + (–8n²– 3n – 2)
Expand the bracket
3n²– 5n + 6 –8n²– 3n – 2
Collect the like terms
3n²-8n²-5n– 3n – 2+6
-5n² - 8n + 4
This gives the required result
C: -5n^2 - 8n + 4
The answer to the second question is 4, 11, and 5.
HELP PLEASEEE!!! Which technique is most appropriate to use to solve each equation?
Answer: (x+4)(x-9)=0 is zero product property, you're correct on the second one
Step-by-step explanation:
14. Find the length of the unknown leg of the right triangle. 12.75 37.25 ?
Answer:
35
Step-by-step explanation:
We can assume the longer side is the hypotenuse because it is significantly longer than the other side.
From there, we can do Pythagoreans Theorem.
a^2+b^2=c^2
where can is the hypotenuse.
(12.75)^2+ b^2 = (37.25)^3
162.5625 + b^2 = 1,387.5625
-162.5625 -162.5625
b^2= 1,225
square root both sides.
b= 35
Help pls!!!!!!!!!!!!!!
Answer:
46°
Step-by-step explanation:
tan Ф = 21/20
Ф = tan-1 (21/20)
= 46°
please help!!
show work(factoring)
u^4 - 3u^2 - 4
Which function describes the graph below?
Answer:
Step-by-step explanation:
There are no pics
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7. The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877. Use an inverse matrix to determine the number of each type of ticket sold .
Answer:
The total number of child ticket sold = 87
The total number of adult ticket sold = 128
Step-by-step explanation:
Given - The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.
To find - Use an inverse matrix to determine the number of each type of ticket sold .
Proof -
Let the total number of child ticket sold = x
Let the total number of adult ticket sold = y
Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.
⇒x + y = 215
Also,
Given that, Tickets cost $11 child and $15 per adult, bringing in a total of $2877
⇒11x + 15y = 2877
So,
The equations becomes
x + y = 215
11x + 15y = 2877
So,
The matrix form becomes
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]
By comparing, we get
x = 87
y = 128
So, we get
The total number of child ticket sold = x = 87
The total number of adult ticket sold = y = 128