Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =[tex]\sqrt{9[/tex]
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5
Chau will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.15 per mile driven.
Answer:
175 Miles has to be driven to do the plans cost the same.
Step-by-step explanation:
Assume The Chau Drive Y miles .
We Have Given Two Plans ,
First Plan = 50$ + 0.19$ × Y Second Plan = 57$ + 0.15$ × YNow,Put First Plan=Second Plan (When Both Plans Cost The Same)
50$ + 0.19$ × Y = 57$ + 0.15$ × Y
0.04$ × Y = 7 ⇔ Y = 175 Miles
There is a population of 5 bacteria in a colony. If the number of bacteria doubles every minute, which function can be used to determine what the population will be x minutes from now?
Answer:
[tex]f(x) = 5 *2^x[/tex]
Step-by-step explanation:
Given
[tex]a=5[/tex] -- initial
[tex]r = 2[/tex] --- rate (i.e. double)
Required
The function to represent the scenario
The above scenario represents an exponential function where
[tex]f(x) = ar^x[/tex]
So, the function is:
[tex]f(x) = 5 *2^x[/tex]
Check 2. The circumference of a circle is C centimeters. The diameter of the circle is 6 centimeters. Write an expression that represents the value of n.
Answer:
radius of circle = 3cm
circumference = 18.84cm
diameter = 6cm
Step-by-step explanation:
if the diameter of circle is 6cm
radius of circle = diameter/2
= 6/2
= 3
circumference of circle = 2[tex]\pi[/tex]r
= 2 x 3.14 x 3
= 6.28 x 3
= 18.84
Mark me as braniest5.
Which of the quadratic functions has the narrowest graph?
A. [tex]y=-2x^2[/tex]
B. [tex]y=\frac{1}{2} x^2[/tex]
C. [tex]y=\frac{1}{7} x^2[/tex]
D. [tex]y=-4x^2[/tex]
Answer:
C. y= 1/7x2
Step-by-step explanation:
The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.
what is the midpoint of the mine segment graph below
Answer:
(4, 7/2)
Step-by-step explanation:
Take the mean of the x-coordinates and the mean of the y-coordinates.
x = (-1 + 9)/2 = 8/2 = 4
y = (2 + 5)/2 = 7/2
Answer: (4, 7/2)
Nicole paint a circle table that has a diameter of 37 in what is the area of the table
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Two turtles race. The speed of the first is 4 1/ 2 inches per minute and the speed of the other is 5 inches per minute How far apart the be in 3 minutes 5 minutes? 10 minutes?
Answer:
(a) 1.5 inches
(b) 2.5 inches
(c) 5 inches
Step-by-step explanation:
speed of first turtle = 4 1/2 inches per minute = 9/2 inches per minute
speed of the second turtle = 5inches per minute
distance = speed x time
(a) Distance traveled by first turtle in 3 minutes
s = 9/2 x 3 = 13.5 inches
distance traveled by second turtle in 3 minutes
s' = 5 x 3 = 15 inches
So, the gap is
s'- s = 15 - 13.5 = 1.5 inches
(b) Distance traveled by first turtle in 5 minutes
s = 9/2 x 5 = 22.5 inches
distance traveled by second turtle in 5 minutes
s' = 5 x 5 = 25 inches
So, the gap is
s'- s = 25 - 22.5 = 2.5 inches
(c) Distance traveled by first turtle in 10 minutes
s = 9/2 x 10 = 45 inches
distance traveled by second turtle in 10 minutes
s' = 5 x 10 = 50 inches
So, the gap is
s'- s = 50 - 45 = 5 inches
i need help i don't understand #3
Answer:
I can't understand number 6 sorry :(
7. The DO side is the hypotenuese8.
8. 107.62
Step-by-step explanation:
The formula for this is:
[tex]a^2+ b^2 = c^2[/tex]
66 × 66 = 4,356
85 × 85 = 7,225
4356 + 7225 = 11,581
[tex]\sqrt{11,581}[/tex] ≈ 107.62
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Have a great summer :)
Please help Ill give brainlest
Answer: D
Step-by-step explanation:
How does the graph of
g(x) = 0.5(2)*-3 – 1
compare to the graph of
the parent function
f(x) = 2*?. Write a full
description.
Answer:
Here we have:
f(x) = 2^x
g(x) = 0.5*2^(x - 3) - 1
We want to compare g(x) and f(x).
The first thing we should do here, is to define the transformations used.
Vertical translation:
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
if N > 0, the translation is upwards
if N < 0, the translation is downwards.
Horizontal translation:
For a function f(x), a horizontal translation fo N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left
if N < 0, the translation is to the right.
Vertical dilation:
For a general function f(x), a vertical dilation of scale factor k is written as:
g(x) = k*f(x).
Ok, now let's start with f(x), and try to use transformations to construct g(x).
We start with f(x).
If we start with a vertical dilation of scale factor k = 0.5, then:
g(x) = 0.5*f(x)
if now we apply a horizontal translation of 3 units to the right, we get:
g(x) = 0.5*f(x - 3)
if now we apply a vertical translation of 1 unit down, we get:
g(x) = 0.5*f(x - 3) - 1
Replacing by the actual function we get
g(x) = 0.5*2^(x - 3) - 1
So we got g(x).
Then, the graph of g(x) is the graph of f(x) dilated vertically by a scale factor of 0.5, then moved to the right 3 units, and then moved down one unit.
What is the Greatest Common Factor of: 16x^6y^4+4^x4y^3−20x^5y
Answer:
36x
Step-by-step explanation:
solve number 2 please
Answer:
a) 6x² + 2x + 4
b) 32 cm
Step-by-step explanation:
a) In terms of x ,
Perimeter of the figure =
[tex](x+2) + (x^2) + (x^2) + (x+2) + (4x^2)[/tex]
[tex]= 6x^2+2x+4[/tex]
b) If x = 2cm ,
Perimeter of the figure [tex]= 6 \times (2)^2+2 \times (2)+4[/tex]
[tex]= 24 + 4 + 4[/tex]
[tex]= 32\;cm[/tex]
The thickness of 12 sheets of paper is 3.16mm. Find the thickness of 1 sheet
Answer:
79/300 mm
Step-by-step explanation:
We can use Ratio and Proportion to answer this question,
We know,
12 sheets of paper = 3.16mm
So,
1 = 3.16/12 mm
So, the thickness of 1 sheet of paper is => 3.16 / 12
=> 79/300
Hope it helps :)
Answer:
Step-by-step explanation:
Thickness of 1 sheet = thickness of 12 sheets ÷ number of sheets
= 3.16 ÷ 12
= 0.26 mm
A pattern starts at 3 and follows the rule 5
What point on each number on the number line that is in the pattern
need help?
Step-by-step explanation:
just try plotting on a number line
Find the distance between the two points in simplest radical form.
(7,-1) and (9,-9)
Answer:
[tex]\sqrt{68}[/tex]
Step-by-step explanation:
(7 , -1) = (x1 , y1)
(9 , -9) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]
=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]
=[tex]\sqrt{4 + (-8)^2}[/tex]
=[tex]\sqrt{4 + 64}[/tex]
=[tex]\sqrt{68}[/tex]
Answer:
[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]
Step-by-step explanation:
[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]
[tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]
Can y’all help me find the volume of this?
Answer:
1795.5 [tex]m^3[/tex]
Step-by-step explanation:
find area of base (it's a trapezoid)
[tex]\frac{b_1+b_2}{2} *h\\\\=\frac{11+16}{2} *9.5\\\\= 13.5*9.5\\\\=128.25[/tex]
multiply area of base by height
128.25 x 14
= 1795.5 [tex]m^3[/tex]
Leslie cuánto de interés ganara Leslie sí presta 5000 durante tres años con el interés simple anual de 5%
Answer:
lokókà
haha
Step-by-step explanation:
góbôńìkásó
Aina builds a cube model out of manila cards. If the volume of the constructed cube is (2+3p) ³ cm³, find the total surface area of the cube in terms of p.
HELPPPP
Given:
The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]
To find:
The total surface area of the cube in terms of p.
Solution:
Volume of a cube is:
[tex]V=a^3[/tex] ...(i)
Where, a is the side length.
It is given that,
[tex]V=(2+3p)^3\ \text{cm}^3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2+3p\text{ cm}[/tex]
Now, the total surface area of a cube is:
[tex]A=6a^2[/tex]
Where, a is the side length.
Putting [tex]a=2+3p[/tex], we get
[tex]A=6(2+3p)^2[/tex]
Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].
The science department orders a new telescope and pays $253.87 after tax. The tax rate is 6% . What was the original price of the telescope
Answer: dont listen to the answer above
Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet
In the rectangle below, EI = 2x+6, FI = 5x-6, and m ZIFE = 49º.
Find E G and m ZIGF.
E
F
m ZIG
H
G
Answer:
gdfhddfdhgbg
Step-by-step explanation:
Help please! The area of a swimming pool is 45 square meters. The width of the pool is 3 meters. What is the length of the pool in centimeters?
Answer: 15 m
Step-by-step explanation:
Given
The area of the swimming pool is [tex]A=45\ m^2[/tex]
Width of the pool is [tex]w=3\ m[/tex]
Suppose l is the length of the pool
So, the area is given by the multiplication of length and width
[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]
So, the length of the pool is 15 m.
Un frutero ha comprado 165kg de manzanas a 2 € el kilo; se le han estropeado 15 kg y el resto los vende a 4 € el kilo. ¿ Cuánto ha ganado? ( 1,25p)
Answer:
€270
Step-by-step explanation:
If a fruit vendor has bought 165kg of apples at € 2 per kilo, the total amount spent is expressed as;
Cost price = 165 * 2 = €330
If 15kg spoilt, the amount of fruit remaining will be 165 - 15 = 150kg
If he rests he sells for € 4 per kilo, then;
Selling price = 150 * 4 = €600
Amount earned = €600 - €330
Amount earned = €270
Please help me with this. Ill give you a brainliest.
Answer:
7. Circumcenter is (5,8)
8. Circumcenter= (-4,-5)
9. Circumcenter= (-4,9)
10. Circumcenter= (5.5, -5.5)
4n+11−2n what is the solution for this equation.
Answer:
2n +11
Step-by-step explanation:
4n+11−2n
Combine like terms
4n -2n +11
2n +11
Answer:
2n+11
Step-by-step explanation:
Find the area of the shape 11cm 14cm 9cm 20cm who ever answers correctly gets brainlist
Answer:
Step-by-step explanation:
Given : shape 14cm 11cm 9cm 20cm
To Find : Find area
Solution:
20 - 1 1 = 9 cm
We can divide figure in 2 parts
rectangle = 14 cmx 11 cm
square = 9 cm x 9 cm
Area of rectangle = 14 * 11 = 154 cm²
Area of square = 9 * 9 = 81 cm²
Total area = 154 + 81
= 235 cm²
Learn More :
Find the area of the given figure withTU = 6 cm, SR = 8 cm, UR = 15 ...
brainly.in/question/14804329
In the figure, triangle ABC in the semi circle . Find the area if the ...
brainly.in/question/13845921
Answer:
Area = 235 square cm
Step-by-step explanation:
Given : shape 14cm 11cm 9cm 20cm
To Find : Find area
Split the figure into rectangle and square:
Rectangle : 14 x 11
Square : 9 x 9
[tex]Area \ of \ rectangle : 14 \times 11 = 154 \ cm^2[/tex]
[tex]Area \ of \ square = 9 \times 9 = 81 \ cm^2[/tex]
[tex]Total \ area = 154 + 81 = 235 \ cm^2[/tex]
I NEED HELP ASAP PLEASE ILL GIVE YOU MORE POINTS HELPPP!:(
Answer:
1st one is 9
2nd one is 6
3rd one is 2
Step-by-step explanation:
What is the lcm of 48 and 54
Answer:
LCM IS 48 × 52 BUT U HAVE TO MULTIPLY NUMERATOR BY DENOMINATOR
Step-by-step explanation:
LCM OF 48 AND 54 = 2×3×2×3×3×2×2
=
[tex]16 \times 27[/tex]
432
Complete the equation describing how x and y are related.
Answer: The "?" would equal 1.
Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.
Pls help me with this
Answer:
12
Step-by-step explanation:
f(-7) = 5-(-7)=5+7=12
El sueldo bruto de un trabajador de la educación es de 900.000 pesos, si el descuento total que le harán corresponde al 20% de su sueldo ¿Cuánto será su sueldo líquido?
Answer:
Sueldo neto= $160.000
Step-by-step explanation:
Dada la siguiente información:
Sueldo bruto= $200.000
Descuento total= 20%
Para calcular el sueldo neto, debemos usar la siguiente formula:
Sueldo neto= sueldo bruto* (1 - porcentaje de descuento)
Sueldo neto= 200.000*( 1 - 0.2)
Sueldo neto= $160.000