Answer:
79
Step-by-step explanation:
There is a cool easy way to solve this kind of problem. If a range is given, and the entire range increases in incrememnts of 1, then you can find the number intergers inclusive by taking the first number and subtracting it from the last and adding 1. Since in this problem you want it exclusive, we can rewrite the range to 21-99.
99-21 +1 = 78 + 1 = 79
Please explain how you can find the circumference (perimeter) of a circle given its area.
Answer:
You have 2 equations:
One for area: A = πr²
One for circumference: C = 2πr
If you are given the area, you plug the area in the area equation under A. You then divide both sides by pi (π) so you are left with r². You take A/π = r² and you square root both sides to get r.
When you get r (the radius) you can then plug r into C = 2πr. You solve (multiply all numbers together) and you have your final answer as the circumference.
Step-by-step explanation:
Solve the inequality. |3x + 6| x > 2 C. –2 < x < 2 D. –6 < x < 2
Answer:
-6 < x < 2
Step-by-step explanation:
hope this helps :)
is the fraction 6 1/2 equal to 73?
Answer:
No 6 1/2 is 6.5, which is not 73
Step-by-step explanation:
Answer:
no, 6+1/2 equals 6'5
if you mean 6*1/2, it still doesn't equal 73 but 3
Step-by-step explanation:
Melissa wants to cover a footrest with cotton fabric.The footrest is 15 inches by 11 inches by 13 inches.She has 1 square yard of fabric.Can she completely cover the footrest.
find the area for the figure (square and circle)
Answer:
257 square m
Step-by-step explanation:
Area of the figure
= Area of square + Area of semicircle
[tex] = {10}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times {10}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times 100 \\ \\ = 100 + 3.14 \times 50 \\ \\ = 100 + 157 \\ \\ = 257 \: {m}^{2} [/tex]
Answer:
257 square meters
Step-by-step explanation:
i just took the test
find the area if the figure
Answer:
Might be wrong but try 47.5ft^2
Step-by-step explanation:
(3*2)/2=3
(3*3)/2=4.5
3+4.5+(4*10)=47.5
Three shops, Sainzbiri, Morrizan and Ko-op sell the same brand of washing powder but in different size boxes.
Calculate the price of 1 kg of washing powder for each shop.
Give your answers in pence.
Write which shop is better value in the comment box.
Answer:
Ko-op is better
Step-by-step explanation:
1
£2.58/3= 86 p
2
£4.25/5= 85 p
3
£6.72/8= 84 p
Last one Ko-op is better
Amir is starting a stamp collection. After 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. What is the constant of proportionality in this direct variation?
Answer:
3/35
Step-by-step explanation:
Here, we want to know the constant of proportionality in this direct variation scenario
Since it is a direct variation, the form we are having would be;
x = ky
where x and y directly vary with each other and k is the constant of proportionality
Now, for the first relation
3 = 35k
for the second
9 = 105k
Thus k would be
3/35 which is the same as 9/105
Kindly note that 9/105 can be reduced to 3/35
So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35
The answer is A.) y =35/3x
I need 4 answers done, I need you to tell me how to do it, and show your work for the answers!
Answer:
13) [tex]x=-3,y=4[/tex]
14) [tex]x=7, y=12[/tex]
15) [tex]x=-1,y=3[/tex]
16)[tex]x=-3,y=4[/tex]
Step-by-step explanation:
13)
[tex]y=9x+31\\6x+4y=-2[/tex]
Sub in equation 1 into equation 2.
[tex]6x+4(9x+31)=-2[/tex]
Expand the bracket.
[tex]6x+36x+124=-2[/tex]
Rearrange.
[tex]42x=-126\\x=-3[/tex]
Solve for y.
[tex]y=9(-3)+31\\y=-27+31\\y=4[/tex]
14) (Following exactly the same steps)
[tex]y=-2x+26\\-5x+2y=-11[/tex]
[tex]-5x+2(-2x+26)=-11\\-5x-4x+52=-11\\-9x=-63\\x=7[/tex]
[tex]-5(7)+2y=-11\\2y=24\\y=12[/tex]
15) (Following exactly the same steps again.)
[tex]y=2x+5\\8x+3y=1[/tex]
[tex]8x+3(2x+5)=1\\8x+6x+15=1\\14x=-14\\x=-1\\[/tex]
[tex]8(-1)+3y=1\\-8+3y=1\\3y=9\\y=3[/tex]
16) (Still no variation on how the questions are asked, exact same method)
[tex]3x+2y=-2\\y=9x+31[/tex]
[tex]3x+2(9x+31)=-1\\3x+18x+62=-1\\21x=-63\\x=-3[/tex]
[tex]y=9(-3)+31\\y=-27+31\\y=4[/tex]
Which is the surface are of the right cylinder below?
A. 176 pi units^2
B. 144 pi units^2
C. 192 pi units^2
D. 72 pi units^2
Answer:
=176 pi units^2
Step-by-step explanation:
The surface area of a cylinder is given by
SA = 2 pi r^2 + 2 pi rh where r is the radius and h is the height
= 2 * pi * 8^2 + 2 pi *8*3
= 128pi + 48 pi
=176 pi units^2
in right triangle ABC, angle C is a right angle and sin A= sin B. What is measure of angle A
Answer: 45 degrees
Step-by-step explanation:
Plato
What is the approximate value of b, rounded to the nearest tenth? Use the law of sines to find the answer. Law of sines: answers- 1. 1.9 units 2. 4.7 units 3. 5.0 units 4. 5.7 units
Answer:
[tex]\boxed{\text{2. 4.7 units}}[/tex]
Step-by-step explanation:
Assume your triangle has the dimensions shown below.
Before we can use the Law of Sines, we must find ∠C.
1. Calculate ∠C
[tex]\begin{array}{rcl}A + B + C & = & 180^{\circ}\\66^{\circ} + 76^{\circ} + C & = & 180^{\circ}\\142^{\circ} + C & = & 180^{\circ}\\C & = & 38\, ^{\circ}\\\end{array}[/tex]
2. Calculate b
Use the Law of Sines
[tex]\begin{array}{rcl}\dfrac{b}{\sin B } & = & \dfrac{c}{\sin C}\\\\\dfrac{b}{\sin 76^{\circ}} & = & \dfrac{3}{\sin 38^{\circ}}\\\\\dfrac{b}{0.9703} & = & \dfrac{3}{0.6157}\\\\ & = & 4.873\\b & = & 0.9703\times 4.873\\& = & \boxed{\mathbf{4.7}}\\\end{array}[/tex]
Erin deposited $500 in a savings account earning 8% interest annually and compounded monthly to the nearest cent how much interest will she earn in 10 years
Answer:
$400
Step-by-step explanation:
$500 multiplied by 8% = $40
If you multiply $40 by 10 years that equals $400.
First, I add 1. Then, I multiply by 2. Next, I divide by 3. As a result, I get 4. What is my starting number?
Answer:5
Step-by-step explanation:
reverse the steps
2(x+1)/3=4
2(x+1)/3×3=4×3
2(x+1)/2=12/2
x+1=6
x=6-1
x=5
Answer:
My starting number is 5
Step-by-step explanation:
Let's denote your number is a
We have:
Adding 1 => a + 1
Multiplying by 2 => (a + 1) x 2
Dividing by 3 => (a + 1) x 2/3
The final number is 4 => (a + 1) x 2/3 = 4
Now, we are going to work out a
Dividing both sides by 2/3:
(a + 1) x (2/3)/(2/3) = 4/(2/3)
then, we have:
(a + 1) x 1 = 4 x 3/2
then, we have:
a + 1 = 12/2
or
a + 1 = 6
=> a = 6 - 1 = 5
Hope this helps!
Select correct answer pls^^
It takes 48 hours if 12 people built the same wall.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
3 x 12 x 129
Step-by-step explanation:
You can get your answer
Please answer this question immediately ...I need help pls
Answer:
39/46
Step-by-step explanation:
Now, the key to answer this first is knowing the value of cos θ
Mathematically, when we have sin θ
What we have is the ratio of the opposite to the hypotenuse side
Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13
Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem
This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides
So let’s say the adjacent or the third side is d
This means that;
13^2 = 5^2 + d^2
d^2 = 13^2 - 5^2
d^2 = 169-25
d^2 = 144
d = √(144)
d = 12
The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse
and that is 12/13
Hence Cos θ = 12/13
What we need last to answer the question is cos2 θ
Using trigonometric identity;
Cos2θ = cos^2 θ - sin^2 θ
Inputing the values of sine and cos of the angle theta, we have;
cos2θ = (12/13)^2 - (5/13)^2
cos2θ = 144/169 - 25/169 = 119/169
Thus;
cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)
= 12/13/(184/169)
= 12/13÷ 184/169
= 12/13 * 169/184
= (13 * 3)/46 = 39/46
1st question I want to solve
Answer:
34.64
Step-by-step explanation:
take tan value and solve the triangle
HELP!!!!!!!!!!!!!…………………
Answer:
A
Step-by-step explanation:
[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]
Therefore, the correct answer is choice A. Hope this helps!
√125 x √5 is equal to a) 50 b) 250 c) 25
Answer:
c. 25
Explanation:
write no more than one radical
[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]
simplify
[tex]5\sqrt{25} \\25[/tex]
Therefore, the answer is c) 25.
Answer:
c) 25
Step-by-step explanation:
√125 x √5= √25*5*5 = √25*25= 25
Which of the following characteristics best describes the given function of ƒ(x) = 3x − 6 ?
Answer:
a linear function with slope 3 and y intercept -6
Step-by-step explanation:
f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.
Next time please be sure to share the answer choices. Thanks.
Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
What is linear function?" Linear function is defined as the relation between variables with highest exponent equals to one".
According to the question,
Given
Function[tex]f(x)= 3x-6[/tex]
[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.
Therefore, it is a linear function.
Represents the straight line.
x increases y also increases.
No maximum and minimum point.
Compare it with general equation of line [tex]y = mx + c[/tex]
Slope of the line [tex]= 3[/tex]
Y- intercept [tex]= -6[/tex]
Hence, function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
Learn more about the linear function here
https://brainly.com/question/21107621
#SPJ3
Un fabricante de carteras de la marca "C&L" vende cada cartera a su distribuidor argentino al precio de (230 - q) soles si la cantidad q es menor que 210. Si el costo unitario de cada cartera es S / 20 y el monto de los costos fijos a S / 2,000. A. Determine las ecuaciones de ingreso y costo total para el fabricante al producir y vender carteras q. Si. Determine la ecuación de utilidad del fabricante al vender q unidades de carteras. C. ¿Cuántas carteras se distribuirán, si la ganancia obtenida es de 1800 soles, sabiendo que es mayor que 50? D concentración
Answer:
A. 101 × q / 2000 S
B. Ingresos totales de q unidades = 230 · q - q²
Costo total para producir q unidades = 101 × q / 2000 S
C. 222 carteras
Step-by-step explanation:
A. Ingresos totales = q × (230 - q) = 230 · q - q²
El costo unitario = S / 20
El costo fijo = S / 2000
Costo total para producir q unidades = q × (S / 20 + S / 2000) = 101 × q / 2000 S
B. Las ganancias totales = Ingresos totales- Costo total
Las ganancias totales = 230 · q - q² - 101 · q / 2000
Las ganancias totales = 229.9495 · q - q²
C, cuando las ganancias obtenidas = 1800 soles, tenemos;
1800 = 229.9495 · q - q²
q² -229.9495 + 1800 = 0
(q - 8.114) × (q - 221.84) = 0
Por lo tanto, q = 8.114 o q = 221.84
Por lo tanto, sabemos que q> 50, por lo tanto, el valor correcto de q = 221.84 o 222 carteras.
HELP a repeating decimal + A fraction...
Answer:
rational
Step-by-step explanation:
Answer:
it's Rational.......
tom has £55,000 in 2016 he plans on putting £8,200 in a bank each year how much will be in the bank by 2031
Answer:
123000
Step-by-step explanation: 8,200 x 15 =123000
Find the measure of angle x in the figure below:
Answer:
70 degrees
Step-by-step explanation:
The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:
x+55+55=180
x+110=180
x=180-110=70
Hope this helps!
Please help me answer this solve for x
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]
These are corresponding angles
hope this helps
brainliest appreciated
good luck! have a nice day!
Please give me the answer
Answer:
the median increases by 0
Step-by-step explanation:
Verify the following identity: (csc theta -cot theta )/(sec theta -1) A. sec theta B. cos theta C. cot theta D. sin theta
Answer:
C. cot theta
Step-by-step explanation:
(csc theta -cot theta )/(sec theta -1)
csc = 1/ sin
cot = cos / sin
sec = 1 / cos
Let x = theta
(1/ sin x -cos x / sin x )/(1/ cos x -1)
Getting a common denominator in the denominator and combining terms
(1- cos x)/ sinx / ( 1 - cos x) / cos x
(1- cosx) (1- cosx)
----------- ÷ ------------
sinx cos x
Copy dot flip
(1- cosx) cosx
----------- * ------------
sinx 1 -cos x
Cancel like terms
cos x / sin x
cos / sin = cot
cot x
cot theta
What is the midpoint of the line segment with endpoints (-5.5,-6.1) and (-0.5,9.1)
Answer:
(-3, 1.5)
Step-by-step explanation:
Take the averages of the x-coordinates and y-coordinates of the 2 points
-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.
-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.
The midpoint will be (-3, 1.5)
pls anwers the question pls it has pictures as well pls pls pls pls pls pls pls
Answer:
a = $80.3
b = $80
c = 4
d = 16
e = 4
f = 88
g = $132
h = 33%
i = 6
j = 30
k = 21
l = $90
m = $36
o = 21/50
p = 105
q = 7
r = 8 cm
s = 2.4
t = 4
u = 400cm
v = $280
Step-by-step Explanation:
==>Increasing $72 by 10% to get a
a = 110% of $72 = 110% × $73
a = 1.1 × 73
a = $80.3
==>a ($80.3) rounded to the nearest 10 to find b = $80
b = $80
==>Writing b (80) as the product of its primes I.e.
[tex]b = 2^{c} * 5[/tex]
Thus, 80 = 2⁴ * 5
c = 4
==>Calculating c² = d
d = 4² = 16
d = 16
==> ²/8 of d = e
e = ²/8 × 16
e = 2 × 2
e = 4
==> e% of 2200 = f
f = 4% × 2200
f = 0.04 × 2200
f = 88
==>Converting £f to $ = g
If £1 = $1.5,
£88 = $g
1 × g = 1.5 × 88
g = $132
==> Converting [tex]\frac{g}{400}[/tex] into % = h%
h = 132÷400 ×100
h = 0.33 × 100
h = 33%
==> √(h + 3) = i
i = √(33 + 3)
i = √36
i = 6
==> i × (3 + 2) = j
j = 6 × (3 + 2)
j = 6 × 5
j = 30
==> j% of 70 = k
k = j% × 70
k = 30% × 70
k = 0.3 × 70
k = 21
==> If k bottles = $63, 30 bottles = $l
21 bottles = $63
30 bottles = $l
21 × l = 63 × 30
21l = 1,890
l = 1,890/21
l = $90
==>If Tim and Mike (m) shares $90 in the ratio 3:2, Mike (m) would receive thus:
⅖ × $90 = m
m = 0.4 × 90
m = $36
==> √m + m = n
n = √36 + 36
n = 6 + 36
n = 42
==>Converting n% to fraction = o
Thus, o = 42/100
o = 21/50
==> o of 250 = p
p = 21/50 × 250
p = (21 × 250)/50
p = 21 × 5
p = 105
==> expressing p as a product of its primes i.e. p = 3 × 5 × q
105 = 3 × 5 × 7
Therefore, q = 7
==> Given a rectangle with dimensions of q cm and r cm, with an area of 56cm². Let's find r.
Area of rectangle = length × width = q × r
Area = 56 cm²
q = 7 cm
r = ?
56 = 7 × r
56/7 = r
8 = r
r = 8 cm
==> r × 0.3 = s
s = 8 × 0.3
s = 2.4
==> s ÷ 0.6 = t
t = 2.4 ÷ 0.6
t = 4
==> If t is in meters, converting t to cm will give us u
Since 1m = 100cm
4m = u cm
1 × u = 100 × 4
u = 400cm
==> Vikki (v) and John shares $u in the ratio 7:3. Thus, Vikki (v) would receive the following:
v = ⁷/10 × $400
v = 0.7 × 400
v = $280
Find the length of LM:
K
16
L
M
Answer:
8
Step-by-step explanation:
LM = KI/2
LM = 16/2
LM = 8