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O LINEAR The length of a rectangle is 6 cm longer than its width.
If the perimeter of the rectangle is 56 cm, find its length and width.
cm
Х
length: 0
width: Ich
?
cm
Answer:
I. L = 17 cm.
II. W = 11 cm.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 56cm
Translating the word problem into an algebraic expression, we have;
L = W + 6 .....equation 1
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
56 = 2(L + W) ......equation 2
Substituting eqn 1 into eqn 2, we have;
56 = 2(W + 6 + W)
56 = 2(6 + 2W)
Opening the bracket, we have;
56 = 12 + 4W
4W = 56 - 12
4W = 44
W = 44/4
W = 11 cm
Next, we would find the length of the rectangle;
From eqn 1;
L = W + 6
L = 11 + 6
L = 17 cm
Use trigonometric identities to simplify the expression.
cot(β+π)sin(β
Answer:
cosβ
Step-by-step explanation:
cot(β+π)sinβ
cot(x)=cos(x)/sin(x), so we can rewrite our expression as:
(cos(β+π)/sin(β+π)) * sinβ
sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:
(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)
cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:
(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)
cosπ=-1 and sinπ=0, so we can rewrite our expression as:
(-cosβ)/(-sinβ) * sin(β)
(-cosβ)/(-sinβ) * sin(β)
=(cosβ/sinβ)(sinβ)
=cosβ
If 5 children share 1/3 pound of candy equally, how much candy will each child get?
Answer:
Each child will receive [tex]\frac{1}{15}[/tex] of a pound
Step-by-step explanation:
[tex]\frac{1}{5*3}[/tex]
A circular wheel has a diameter of 42 cm. How far will it roll in 5
revolutions?
Answer:
3.142
Step-by-step explanation:
Answer:
659.75 cm
Step-by-step explanation:
First, find the circumference with the formula C = 2[tex]\pi[/tex]r
The diameter is 42 cm, so the radius will be 21 cm
Plug in the radius into the equation and solve for C
C = 2[tex]\pi[/tex]r
C = 2[tex]\pi[/tex](21)
C = 131.95
Find how far it will roll by multiplying this by 5
131.95(5)
= 659.75
So, in 5 revolutions, it will roll 659.75 cm
Estimate the perimeter and the area of the shaded figure
Show how u got it please.
Answer:
8(1 +√2)
Step-by-step explanation:
The perimeter is the sum of the sides of the figure
Taking 1 square box as 1 unit
Get the slant side using the pythagoras theorem;
l² = 2² + 2²
l² = 4 + 4
l² = 8
l =√8
Perimeter = 4(√8) + 4 + 4
Perimeter = 8 + 4√8
Perimeter = 8 + 4*2√2
Perimeter = 8 + 8√2
Perimeter = 8(1 +√2)
hence the perimeter of the shape is 8(1 +√2)
Sara has 3 choices to get to school: walk, ride a bike, or ride the bus.
She has the same choices to get home after school. If Sara randomly
chooses how she is getting to school and home, what is the probability
that she will walk to school and then ride the bus home?
Answer:
I think the answer is 1/9
Step-by-step explanation:
I did the equations by using a tree diagram to explain it but
Aquarium is a square prism. What is the height of the aquarium if it has a volume of three cubic units and a width of 3 feet?
Answer:
1
Step-by-step explanation:
x*3=3
x=1
Evaluate the expression for p = 3.
7p
-8 < x/4
I need the answer ASAP
Answer:
2/3 I think, If not please tell me !
Janice spent $36 on a cake and had $27 left. What fraction of her money did she spend on the cake?
Answer:
25%
Step-by-step explanation:
36-27= 9/36= 0.25 x 100 = 25%
Write a quadratic function f whose only zeros are -3 and -12
Answer:
Step-by-step explanation:
f(x) = (x + 3)(x + 12)
f(x) = x^2 + 3x + 12x + 36
f(x) = x^2 + 15x + 36
Find the circumferences of both circles to the nearest tenth.
Two circles lying one inside the other. The inner circle is shaded orange and the outer circle is shaded blue. The radius of the inner circle is labeled 5 centimeters. The distance between the outer and the inner circle is circle is labeled 5 centimeters.
The circumference of the blue circle is about
cm.
The circumference of the orange circle is about
cm
Answer:
The circumference of the blue circle is about
62.8 cm.
The circumference of the orange circle is about
31.4 cm.
Step-by-step explanation:
First the blue circle, it shows that there are 5 cm on the outside of the orange circle so the would be 5+5=10, then you add the orange circle to the 10 cm, that would give you 20 cm. Then you multiply 20 cm by pi (3.14) which will give you your answer 62.8. Do the same thing for the orange circle, 5+5=10 so 10 multiplied by pi (3.14) is 31.4
bye bestie
HELP! WILL GIVE BRANLIEST!
Answer:
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f the distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?
(2, 9)
(7, 2)
(11, 2)
(2, 11) HELP NOW
Explain how you can decide whether the equation represents the graph. What can you do to the equation to make it a better fit for the graph? What equation would fit better?
Melvin wrote the equation 푦 = (푥 + 3)(푥 + 1)(푥 − 2) 2 to represent the graph at right.
Answer:
O
Step-by-step explanation:
Meg earns $8 an hour. If she made less than $48 this weekend, how many hours did she work?
Answer:
If she made LESS than $48, then she worked 5 hours. But If she made exactly $48, then she worked 6 hours.
Step-by-step explanation:
MARK ME BRAINLIEST?
Joseph and Ryan have 84 cards to sign. Joseph sins 1/4 of the cards. While Ryan signs 3/7. How many cards are left to be signed?
SIDE NOTE: PLEASE BE FAST!!
Answer:
27 cards left to be signed
Answer:
27 cards
Step-by-step explanation:
first we need to find what 1/4 of 84 is which will be 21 then we need to find what 3/7 of 84 is which will be 36 now we add the two getting 57 and then subtract 57 from 84 leaving us with 27 cards left. hope this helps.
Solve for x
A) 8
B) 10
C) -11
D) 5
Help!!!
Ellie and three of her friends each bought two hamburgers and a drink at the soccer game. If the drink cost $1.25 and the total cost for all four girls was $18.20, what was the cost of a hamburger?
Help me please I can’t figure it out!
Answer:
vv
Step-by-step explanation:
10.1(3) + 9.5(4) = 30.3 + 38.0
= 68.3
The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.
Answer:
3r1
The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.
Answer: 7041 is the answer. I’m not sure how to explain. I took a lucky guess on my quizzez assignment and got it correct.
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
d.
Step-by-step explanation:
odd=4/6 even=2/6
add them =6/6 which also is 9/9.
What is 2x^6 times 3 ?
I will give 20 points and brainliest
Answer:
6[tex]x^{6}[/tex]
Step-by-step explanation:
8x^ 18
you can use mathw ay.com for answers
When solving the equation below, what step do you need to take to get the variable by itself?
x/−2=19
a.divide by -2
b.add -2
c.multiply by -2
d.multiply by 2
Answer:
Add -2
Explanation:
X / -2 = 19
19 + 2
= 21
x = 21
Sorry but my answer got deleted because someone reported it trying to get me banned can you please reward me branliest Again
do this for me? helppp all my point
Answer:
do u want me to find the perimeter? area? or volume?
I need help plz it is just the help with the one that say write each one as a decimal
Answer:
1) 0.4552) 0.1253) 2.333Step-by-step explanation:
The explain in the photos above
I hope that is useful for you :)
I need it please I will give 20
A sports store received a shipment of 150 footballs and basketballs. 20% were basketballs. How many footballs were in the shipment?
Suppose f(x) = x2 and g(x)=(6)
. Which statement best compares the
graph of g(x) with the graph of f(x)?
O A. The graph of g(x).js the graph of f(x) horizontally stretched by a
factor of 5.
O B. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 5.
O c. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 5.
O D. The graph of g(x) is the graph of f(x) shifted
units left.
Answer:
In Exercises 1-9, describe the transformation of f(x) = x² represented by g. ... 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, ... graph of g be a horizontal shrink by a factor of the graph of f(x) = x2 x 2x ... 4(x-3)?–4.
Step-by-step explanation:
Please help will mark brainliest.
Answer:
solution given.:
radius[r] =r
height[h]=1in
volume[V] of cylinder=196πin³
we have
volume[V] of cylinder=πr²h
196π=πr×1
r²=[tex] \frac{196π}{π}[/tex]
r=[tex] \sqrt{196} [/tex]
r=14in
so radius is 14in