Answer:
Step-by-step explanation:
We'll work through this by setting up a table, as follows:
original new
width
length
It tells us the width of a rectangle is 4 feet more than the length. If we don't know the length, we'll call it L; that means that the width is L + 4, because the width is the length plus 4 more feet. Put that into column 1:
original new
width L + 4
length L
The next sentence tells us how the original rectangle is being manipulated to create a new rectangle, so that information goes into the column named "new". The original length is doubled:
original new
width L + 4
length L 2L
and the original width is decreased by 2:
original new
width L + 4 L + 4 - 2 (which simplifies to L + 2)
length L 2L
The perimeter of the new rectangle is 68. The formula for the perimeter is
P = 2L + 2w, so filling in our info along with the given perimeter:
68 = 2(L + 2) + 2(2L) and
68 = 2L + 4 + 4L and
68 = 6L + 4 and
64 = 6L so
L = [tex]\frac{32}{3}[/tex] and the width then is
w = [tex]\frac{32}{3}+4[/tex] so
w = [tex]\frac{44}{3}[/tex]
find the radius of a circle for which an arc 6 cm long subtends an angle of 1/3 radians at the center?
plz some one can help to solve the question??
Step-by-step explanation:
Eueydhhdgdgdbdbddbdbhd
Answer:
Hello,
[tex]R=\dfrac{18}{\pi}\ (cm)[/tex]
Step-by-step explanation:
[tex]Formula: \ L=\theta*R\\[/tex]
[tex]R=\dfrac{6}{\dfrac{\pi}{3} } =\dfrac{6*3}{\pi} =\dfrac{18}{\pi}\ (cm)[/tex]
Use the diagram to the right to name the following.
a) A line containing point F.
b) Another name for line k.
c) A plane containing point A.
d) An example of three non- collinear points.
e) The intersection of plane M and line k.
a) A line containing point F-DF
b) Another name for line k-BC
c) A plane containing point A-M
d) An example of three non- collinear points.-(B,A)
e) The intersection of plane M and line k-C
In a group of 60 numbers, average of
the first 35 numbers is 18, that of next
15 numbers is 10 and that of the
remaining is 30. What is the average
of the entire group of numbers?
a)
16
b)
17
c)
18
d)
19
Answer:
c. 18
Step-by-step explanation:
First, you would find the total sum of the 60 numbers. The average is always the sum of the numbers divided by the number of numbers.
35*18=630
15*10=150
Now we do not know how many numbers the last group has. However, we can find it out doing 60-35-15 to see how many numbers are left. There would be 10 numbers left
10*30=300
630+150+300=1080
1080/60=18
Hence, the answer is C(18)
pls help me due tomorrow
Answer:
Step-by-step explanation:
f(x) = 2x - 4
g(x) = 1/2x - 4
6)
f(4) means that wherever you see an x on the right, you put a 4.
f(4) = 2x - 4
f(4) = 2*4 - 4
f(4) = 8 - 4
f(4) = 4
7)
g(x) = 1/2x - 4
g(2) = 1/2(2) - 4
g(2) = 1 - 4
g(2) = - 3
8)
f(-5) = 2*-5 - 4
f(-5) = -10 - 4
f(-5) = -14
9)
g(-6) = 1/2 ( - 6) - 4
g(-6) = -3 - 4
g(-6) = - 7
Alex runs every 9 days and swims every 12 days. If he ran and swam today, how many days until he does both activities on the same day again?
Answer:
36 days
Step-by-step explanation:
The answer is the lcm of (9,12)=36 days
We have to find LCM of 9 and 12
2 | 9,12
2 | 9,6
3 | 9,3
3 | 3,1
LCM=2×2×3×3=4×9=36
Today is 36 th day
plzzzz heeeeeeellllllllppppppppp again...
ANS=40
hope this help you
bye have a great day :)
PLZ HELP ME ASAP PLZZ
Answer:
helloo thereeee
we do such construction from a making bc arc then from b and c making x just when we need to make
Angle bisector
hope that helps ig :)
Help on this pls if you don’t mind
Answer:
(B) 3
Step-by-step explanation:
Remember that a parallel lines always have the same slope!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
300 yd³
Step-by-step explanation:
Volume = lwh
l = 6
w = 5
h = 10
so, 6×5×10 = 300 yd³
Thomas is making fruit punch for a party. The recipe calls for 5/8 gallon of orange juice to make a full pitcher of punch.
How many full pitchers of punch can Thomas make with 2 gallons of orange juice
Answer:
3 remainder 1
Step-by-step explanation:
We have 2 gallons of orange juice and for each pitcher we need 5/8 of a gallon 1 gallon is = to a whole number so in this case 8/8 but because we have 2 gallons we can put it down at 16/8. 5 goes into 16, 3 times with 1 left over we can mark that as a Reminder
A plumber gave an estimate for the renovation of a kitchen. Her hourly rate is $55 per hour and the parts for the renovation will cost $234.
If her total estimate is $509.00, how long does she expect the job to take?
hours
a.6 hours
b.7 hours
c.4 hours
d.5 hours
Answer:
12 houra
Step-by-step explanation:
404-80=27x
324=27x
x=324/27
x=12 hours.
The job is expected to take 5 hours, Option d.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given problem,
Cost for parts = $234
Total estimate = $509.00
Amount left from total estimate after spending for parts = $( 509 - 234 )
= $275
Hourly rate for renovation = $55
Total hours = [tex]\frac{275}{55}[/tex] hours
= 5 hours.
Hence, we can conclude that she with $275, 5 hours of job can be afforded.
Learn more about unitary method here: https://brainly.com/question/19423643
#SPJ2
help me guys it's important
Answer:
Does the answer help you?
Answer:
36 cm³
Step-by-step explanation:
Volume of R1 :
length = 5 cm
Width = 2 cm
Height = 2 cm
Volume = 5 * 2 * 2 = 20 cm³
Volume of R2:
length = 4 cm
Width = 2 cm
Height = 2 cm
Volume = 4 * 2 * 2 = 16 cm³
Volume of the figure = 20 + 16 = 36 cm³
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
A. 48mi^3
Step-by-step explanation:
To find the volume of a rectangular prism, you multiply:
length x width x height
Help anyone can help me do the question,I will mark brainlest.
Step-by-step explanation:
h) p^2+b^2=h^2
5^2+x^2=8^2
25+x^2=64
x^2=64-25
x^2=39
x=√39
x=6.244998
We know that
p² + b² = h²
Part a
5² + x² = 8²
x² = 64 - 25
x = √39
Part B
4² + 6² = x²
16+36 = x²
√52 = x
√2×2×13 = x
x = 2√13
Must click thanks and mark brainliest
Look at this sphere:
If the radius is doubled, then which of the following statements about its surface area will be true?
In the equation for surface area the radius is squared ( r^2)
If the radius is doubled, the radius would be 2^2 more which equals 4
The surface area would be 4 times the old surface area.
The hypotenuse of a right angled triangle is 8 cm more than its shortest side. The third side is 1 cm shorter than the hypotenuse. Find the three sides of ths is triangle.
Answer:
hypotenuse = 13
shortest side = 5
third side = 12
Step-by-step explanation:
Given sides a, b, and c, with c representing the hypotenuse of a right triangle, we can say that
a²+b² = c² using the Pythagorean Theorem.
We are given that the hypotenuse (c) = 8 cm more than the shortest side. Representing the shortest side as a, we can say that c= 8 + a. Then, the third side, which we can represent as b, is 1cm shorter than the hypotenuse, so c-1 = b
c= 8+a
c-1 = b
a²+b² = c²
One thing we can do is to solve for everything in terms of c and solve the third equation from there
c= 8+a
subtract 8 from both sides
c-8 = a
a²+b² = c²
(c-8)²+b² =c²
b = c-1
(c-8)² + (c-1)² = c²
expand
c²-16c + 64 + c² - 2c + 1 = c²
2c² - 18c + 65 = c²
subtract c² from both sides to make this an equation that we can more easily solve
c² - 18c + 65 = 0
To factor, we can find two numbers that add to (-18) and multiply to 65. Two numbers that work at 13 and 5, so we have
c²-13c-5c + 65 = 0
c(c-13) -5(c-13) = 0
(c-5)(c-13) = 0
Therefore, the hypotenuse, or c, is 5 or 13. Because a=c-8, if c=5, a would be negative 3. This is not possible, so c cannot be 5. Therefore, c=13, a=c-8=5, and b=c-1= 12
5x-2x = 11+14
find the the variable that makes the equation true.
Answer:
x=25/3
Step-by-step explanation:
I put it into photo math
pls help asap !!!!!!!
Answer:
I think that the answer is 1 to1
The curve y=(k-6)x^2-8x+k cuts the x-axis at two points and has a minimum point. Find the range of values of k.
Answer:
Hello,
answer: -2 < k < 8
Step-by-step explanation:
As there are 2 roots: Δ>0
As there is a mininum, k-6 <0 ==> k<6,
minimum :y'=0 ==> (k-6)*2x-8=0 ==> x=4/(k-6)
[tex]\Delta=8^2-4*k*(k-6)\\=64-4k^2+24k\\=-4(k^2-6k+9)+36+64\\=100-4(k-3)^2\\=4(8-k)(k+2)\\\\\Delta\ is\ positive\ for\ -2 < k < 8[/tex]
what is 8 to the 4thpower
8 to the fourth power is:
8² · 8² =
64 · 64 =
4096
Determine the intercepts of the line.
Y-intercept: (_,_)
X-Intercept: (_,_)
Can someone plz help with this problem
Answer:
I think the answer is 2
Step-by-step explanation:
Between 30 and 60 is double b so just divide 4 by 2.
find the matrices of
[tex]\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}[/tex]
Creating equations
[tex]\\ \sf\longmapsto x-2y=-3\dots(1)[/tex]
[tex]\\ \sf\longmapsto 4y-3=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 6x-2z=4\dots(3)[/tex]
[tex]\\ \sf\longmapsto 2y-z=3\dots(3)[/tex]
From eq(2)[tex]\\ \sf\longmapsto 4y-3=5[/tex]
[tex]\\ \sf\longmapsto 4y=5+3[/tex]
[tex]\\ \sf\longmapsto 4y=8[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto y=2[/tex]
Put the value in eq(1)[tex]\\ \sf\longmapsto x-2y=-3[/tex]
[tex]\\ \sf\longmapsto x=-3+2y[/tex]
[tex]\\ \sf\longmapsto x=-3+2(2)[/tex]
[tex]\\ \sf\longmapsto x=-3+4[/tex]
[tex]\\ \bf\longmapsto x=1[/tex]
Put the value in eq(4)[tex]\\ \sf\longmapsto 2y-z=3[/tex]
[tex]\\ \sf\longmapsto z=2y-3[/tex]
[tex]\\ \sf\longmapsto z=2(2)-3[/tex]
[tex]\\ \sf\longmapsto z=4-3[/tex]
[tex]\\ \bf\longmapsto z=1[/tex]
Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pi
Please answer it will mean a lot thanks
Answer: Circumference of circle = 27.004 inches
Area of circle = 58.0586 inches²
Step-by-step explanation:
Diameter of circle = 8.6 inches
Pi ([tex]\pi[/tex]) = 3.14
Circumference of circle (With diameter) = [tex]\pi \\[/tex]d ([tex]\pi[/tex]×diameter)
= 3.14 × 8.6
= 27.004 inches
Area of circle (With diameter) = [tex]\pi[/tex][tex]d^{2}[/tex]/4
= 3.14 × 8.6 × 8.6 / 4
= 3.14 × 73.96 / 4
= 58.0586 inches²
For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?
Answer:
-4
Step-by-step explanation:
y = (x+14)^2 -4
The equation is in vertex form
y = a(x-h)^2 + k where (h,k) is the vertex
The y coordinate of the vertex is k = -4
Answer:
y - coordinate = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = (x + 14)² - 4 ← is in vertex form
with vertex = (- 14, - 4 )
The y- coordinate of the vertex = - 4
Picture Shown!
Find the image of the given point
under the given translation.
P(-5,7) T(x, y) = (x + 5, y - 4)
P' = ([?], [?])
Enter the number that belongs in
the green box.
Answer:
0'=(0,3)
Step-by-step explanation:
P'=(-5+5,7-5)=(0,3)
#4 i
WRITING Would you solve the equation 0.25x + 7 = {x-8 using fractions or decimals? Explain.
Answer:
7x3 is 21 so 22 Is the answer
5. Write down at least five number
pairs to solve the equation
(r - 2)(s + 1) = 100.
Answer:
1. (52 - 2) (1 + 1) = 1002. (12 - 2) (9 + 1) = 1003. (6 - 2) (24 + 1) = 1004. (3 - 2) (99 + 1) = 1005. (102 - 2) (0 + 1) = 100Step-by-step explanation:
1. let r= 52 and s= 1(52 - 2) (1 + 1) = 10050 × 2 = 1002. let r= 12 and s= 9(12 - 2) (9 + 1) = 10010 × 10 = 1003. let r= 6 and s= 24(6 - 2) (24 + 1) = 1004 × 25 = 1004. let r= 3 and s= 99(3 - 2) (99 + 1) = 1001 × 100 = 1005. let r= 102 and s= 0(102 - 2) (0 + 1) = 100100 × 1 = 100[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Store I offers a pair of shoes Karen wants for 25% off their regular price of $12.00. Store J sells the same pair of shoes for $10, before a $2.00 mail-in rebate. Where should Karen purchase her shoes? Explain your reasoning. (Be sure to consider the cost of postage, as well as the time and effort required to mail in the rebate request in your response.)
Store I 12 x 0.25=$3 12-3=9
Store j
Answer:
This is already solved half-way.
Store I, 25% off:
$12 - 25% = $12 * (1 - 0.25) = $12 * 075 = $9Store J, $2 off:
$10 - $2 = $8A pair of shoes cost $9 in store I and $8 in store J.
Karen should purchase her shoes from the store J as it costs $1 less.
The discount:-
[tex]\\ \sf\longmapsto 12\times 25\%[/tex]
[tex]\\ \sf\longmapsto 12\times \dfrac{25}{100}[/tex]
[tex]\\ \sf\longmapsto \$ 3[/tex]
Cost of shoe
[tex]\\ \sf\longmapsto 12-3[/tex]
[tex]\\ \sf\longmapsto \$ 9[/tex]
In store J:-The Cost of shoe :-
[tex]\\ \sf\longmapsto 10-2[/tex]
[tex]\\ \sf\longmapsto \$ 8[/tex]
Karen should purchase shoes from store J
the ratio of the temperature of room S to the temperature of room T is 2:3 and the ratio of the temperature of room T to the temperature of room U is 2:3 . Find the ratio of the temperature of room S to the temperature of room U
Step-by-step explanation:
s:t=2:3
t:u=2:3
s:u=?
s/u=2/3
