Find the value of cos G rounded to the nearest hundredth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS
(Image above!)
Answers
Answer:
[tex]\sf \cos(G)=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = GA = GF = 2H = EG = 4[tex]\implies \sf \cos(G)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Related Questions
A function is shown: f(x) = 16x2 − 1.
Choose the equivalent function that best shows the x-intercepts on the graph.
f(x) = (4x + 1)(4x − 1)
f(x) = (8x + 1)(8x − 1)
f(x) = 4(x2 + 1)
f(x) = 8(x2 − 1)
Answers
The equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x + 1)(4x -1)
How to determine the equivalent function?The function is given as:
f(x) = 16x^2 - 1
Express 16 as 4^2 and 1 as 1^2
f(x) = (4x)^2 - 1^2
Apply the difference of two squares
f(x) = (4x + 1)(4x -1)
Hence, the equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x + 1)(4x -1)
Read more about equivalent expressions at:
https://brainly.com/question/2972832
#SPJ1
QUICK ANSWER PLEASE!!
If M(1; -1) is the midpoint of the line segment AB, where A(-4;y)
and B(x; -5), calculate the value of x and y.
Answers
Here’s the answer, I hope it helps
find the value of x
please help me out here ill do anything
Answers
Answer:
let's find the value of x:
4)
10x=6(5)10x=30x=35)
9(x+4)=8(8+10)9x+81=1449x=63x=76)
y^2=2(2+9)y^2=2×11y^2=22y=√(22)y= 4.69 or 4.7Write the quadratic equation in standard form:
-3x^2-16=−3x
Answers
Answer:
3x² - 3x + 16 = 0
Step-by-step explanation:
Standard form :
Ax² + Bx + C = 0Solving :
-3x² - 16 = -3x3x² - 3x + 16 = 0Standard form ax²+bx+c=0
-3x²+3x=16-3x²+3x-16=03x²-3x+16=0Done
Factorise fully 18g - 15
Answers
Answer:
3(6g - 5)
Step-by-step explanation:
1. First, find the GCF of 15 and 18.
Factors of 15:
1, 3, 5, 15
Factors of 18:
1, 2, 3, 6, 9, 18
The GCF of 15 and 18 is 3.
2. Factorize
3(6g - 5)
3. Check you answer:
3(6g) + 3(-5)
18g - 15
Hope this helps!
PLEASE HELP WILL GIVE BRAINLEST! Which graph represents the trigonometric function given below
Answers
Answer:
Goodluck and look at the pic
The lines shown below are parallel. If the green line has a slope of -4, what is
the slope of the red line?
Answers
A prism is completely filled with 270 cubes that have edge length of 1/3in.
what is the volume of the prism?
Answers
If the volume of the cube is 1/27 cubic inches. Then the volume of the prism will be 10 cubic inches.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
A prism is completely filled with 270 cubes that have an edge length of 1/3in.
Then the volume of the prism will be given as
Volume of prism = 270 (volume of the cube)
Then the volume of the cube will be
Volume of cube = (edge)³
Volume of cube = (1/3)³
Volume of cube = 1/27 cubic inches
Then the volume of the prism will be
Volume of prism = 270 × (1/27)
Volume of prism = 10 cubic inches
More about the rectangular prism link is given below.
https://brainly.com/question/12649592
#SPJ1
A diner is serving a special lunch combo meal that includes a drink, a main dish, and a side. customers can choose from 4 drinks, 5
main dishes, and sides
how many different combo meals are possible?
customers cani create choose.
v different lunch combo meals.
Answers
There are 20 possible different combination of meals
How to determine the number of combo meals?The given parameters are:
Drinks = 4
Main dishes = 5
The number of different meals is calculated as:
Meals = Drinks * Main dishes
So, we have:
Meals = 4 * 5
Evaluate
Meals = 20
Hence, there are 20 possible different combination of meals
Read more about combination at:
https://brainly.com/question/11732255
#SPJ4
ABCD is a quadrilateral work out CD
Answers
In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The length of AD will be
tan θ = AB/AD
AD = 12/ tan 35
AD = 17.14 cm
Then the value of the BD will be given by the Pythagoras.
BD² = AB² + AD²
BD² = 12² + 17.14²
BD² = 144 + 239.78
BD² = 437.78
BD = 20.92 cm
Then operate the sine rule in triangle BCD, we have
[tex]\dfrac{BD}{\sin C} = \dfrac{CD }{\sin B}\\\\\\\dfrac{20.92}{\sin 52} = \dfrac{CD }{\sin 102}\\\\\\CD = \dfrac{20.92 \times \sin 102}{\sin 52}[/tex]
On further solving, the value of CD will be
CD = 25.98
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ1
find the solution set of the inequality 52-3x<-14
Answers
Answer:
22<x
Step-by-step explanation:
52-3x<-14
66<3x
(we divide both sides to 3)
22<x
Rotate RST 90° counterclockwise around the origin.
Answers
The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
How to rotate the triangle?
The coordinates of RST are given as:
R = (5,15)
S = (15,15)
T = (10,5)
The rule of 90° counterclockwise around the origin is:
(x,y) -> (-y,x)
So, we have:
R' = (-15,5)
S' = (-15,15)
T' = (-5,10)
Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
Read more about rotation at:
https://brainly.com/question/4289712
#SPJ1
What is the equation?
Answers
There is no answer? So how am I supposed to answer it?
Answer:
Yeah How am I supposed to answer it?
Step-by-step explanation:
PLEASE URGENT
Mary wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Mary can pay $70 per month, plus $1 for each group class she attends. Alternately, she can get the second membership plan and pay $10 per month plus $4 per class. If Mary attends a certain number of classes in a month, the two membership plans end up costing the same total amount. How many classes per month is that?
Write a system of equations, graph them, and type the solution.
Answers
The linear equations for the system: y = x + 70 and y = 4x + 10
She'll attend 20 classes/month
The graph for the solution (20, 95) is in the image attached below
What is a Linear Equation?A linear equation can expressed in slope-intercept form, as, y = mx + b.
m = unit rate/slopeb = initial value/y-interceptLinear equation for the first membership plan:
b = 70
m = 1
x = number of classes
y = total amount
Equation for the first membership plan: y = x + 70
Linear equation for the second membership plan:
b = 10
m = 4
x = number of classes
y = total amount
Equation for the second membership plan: y = 4x + 10
The system of equations are:
y = x + 70
y = 4x + 10
The solution is the point at which the line for both equations intersect on the graph as shown in the image attached below, which is: (20, 95).
This means Mary must attend 20 classes for each membership plan, she must attend 20 classes to pay the same total amount of $95 per month.
Learn more about linear equations on:
https://brainly.com/question/15602982
#SPJ1
In 2014, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken. [6 points] a) what is the probability the sample has a mean gas mileage between 27 and 29 miles per gallon?
Answers
The probability of the sample having a mean gas mileage between 27 and 29 miles per gallon will be 0.0116.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
In 2014, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.
Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be
The value of the z-score at x = 27, we have
[tex]z = \dfrac{27 - 27.9}{6.8}\\\\z = -0.13[/tex]
The value of the z-score at x = 29, we have
[tex]z = \dfrac{29 - 27.9}{6.8}\\\\z = 0.16[/tex]
Then the probability will be
[tex]\begin{aligned} P(-0.13 < z < 0.16 ) &= P (z < 0.16) - P(z > -0.13) \\\\&= P (z < 0.16) - [ 1 - P(z < -0.13) ]\\\\&= 0.56425 - (1 -0.44735)\\\\&= 0.0116 \end[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ1
Dr. shepherd is studying a bacterial colony with a population of 29,600 bacteria. the colony is
growing 5% per hour. how many bacteria will the colony contain in 12 hours?
if necessary, round your answer to the nearest whole number
bacteria
Answers
Answer:
53,157
Step-by-step explanation:
The population growth of a bacterial colony can be modeled by an exponential function of the form ...
p(t) = a·b^t
where a is the initial population and b is the growth factor. The growth factor is ...
b = 1 +r
where r is the growth rate.
__
In this problem we have ...
a = 29,600
b = 1 +5% = 1.05
t = 12
So, the population after 12 hours is
p(12) = 29600×1.05^12 ≈ 53,157
The colony will contain 53,157 bacteria in 12 hours.
Mr. Smith works 26 hours and earns $468. If Mr. Smith works for 16 hours, how much does he earn?
I got $ 288 but I just want to make sure
Answers
Answer:
$288
Step-by-step explanation:
468 ÷ 26 = 18
so $18 per hour times 16 hours would give you $288, your right
400 divided by 8 =?
——————————-
584 divided by 2 =?
——————————-
450 divided by 9 =?
——————————-
366 divided by 3 =?
——————————-
674 divided by 7 =?
——————————-
819 divided by 9 =?
——————————-
555 divided by 5 =?
——————————-
279 divided by 9 =?
——————————-
570 divided by 5 =?
——————————-
this will help po!
thank you!!
Answers
2-292
3-50
4-122
5-96.28 or 96.3
6-91
7-111
8-31
9-114
:)
400 divided by 8 = 50
584 divided by 2 = 292
450 divided by 9 = 50
366 divided by 3 = 122
674 divided by 7 = 96.285 or 96.3 (rounded)
819 divided by 9 = 91
555 divided by 5 = 111
279 divided by 9 = 31
570 divided by 5 = 114
(03.03 LC) look at points C and D on the graph:
What is the distance in units between points c and d? Round your answer to to nearest hundredth
Answers
PLEASE HELP ME ASAP :(
Answers
Answer:
Step-by-step explanation:
Refer the attachment
Answer:
752.5 in³
Step-by-step explanation:
Volume of composite solidRectangular prism:
l = 10 in ; w = 7 in ; h = 8 in
[tex]\boxed{\text{Volume of rectangular prism=l*w*h}}[/tex]
= 10 * 7 * 8
= 560 in³
Half cylinder:
Diameter of the cylinder will be equal to the width of the rectangular prism.
r = 7/2 = 3.5 inches ; h = 10 in
[tex]\boxed{\text{Volume of half cylinder =$\dfrac{1}{2}\pi r^2h$}}[/tex]
[tex]\sf =\dfrac{1}{2}*3.14*3.5*3.510\\\\ = 192.5 \ in^3[/tex]
Volume of composite figure = 560 - 192.5
= 752.5 in³
What is the value of x?
Answers
Answer:
108
Step-by-step explanation:
x and 2/3 x are linear pair angles.
Sum of linear pair angles is 180.
x + 2/3 x = 180
3x/3 + 2x/3 = 180
( 3x + 2x )/3 = 180
5x/3 = 180
Cross multiply,
5x = 180 * 3
Divide 5 on both sides,
x = ( 180 * 3 )/5
= 36 * 3
x = 108
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3200 seats. The students filled 2496 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
The percentage of the seats in the theater were filled by the 6th graders on the trip is 78%.
What is the percentage?Percentage is a measure of frequency that is expressed as the fraction of a number out of 100.
The percentage of the seats in the theater were filled by the 6th graders = (number of filled seats / total number of seats) x 100
(2496/3200) x 100 = 78%
To learn more about percentages, please check: https://brainly.com/question/25764815
#SPJ1
A population of snails is tripling every week if the population started with 15 snails how many snails will there be after 14 weeks?
Answers
Answer:
There is 57 snails after 14 weeks
Step-by-step explanation:
Creating an equation:tripling every week means 3x
NOTE: x is defined as the number of weeks
started with 15 snails means at day 0 (x = 0 also known as y intercept)
y = mx + b m is the slope, b is the y intercept
our equation: y = 3x + 15
after 14 weeks (x = 14):y = 3(14) + 15
y = 42 + 15
y = 57
Please help! Im a bit confused, offering 25 points! This mix and match!
Answers
Addition:
Increased by, greater than, more than, sum
Subtraction:
Decreased by, decrease, less than, difference
Multiplication:
Times, equal groups, __ times as many, product
Division:
Quotient, divided by, goes into, split equally
#18. estimate the perimeter and the area of the shaded figure to the nearest tenth
Answers
Answer:
Area = 22.3 m^2
Perimeter 27.4 m^2
Step-by-step explanation:
Perimeter = __ m
Area __ m^2
The area of the triangle is about 4.2,
The area of the square is 4,
The area of the semicircle is 14.1,
14.1 + 4.2 + 4 = 22.3
Area = 22.3 m^2
9.4 + 6 + 4 + 4 + 4 = 27.4
Perimeter = 27.4 m^2
Therefore the area of the shape is about 22.3 m^2 and the perimeter is about 27.4 m^2.
Combine the polynomials
(z2 - 5z + 3) - (z2 – 13z + 12)
-
Please help the twos are squared
Answers
Answer:
i think its 8z-9 if im not wrong :)
Step-by-step explanation:
After sitting out of a refrigerator for a
while, a turkey at room temperature (
68°F) is placed into an oven. The oven
temperature is 305°F. Newton's Law of
Heating explains that the temperature of
the turkey will increase proportionally to
the difference between the temperature of
the turkey and the temperature of the
oven, as given by the formula below:
T = Ta + (To − Ta)e-kt
Ta
=
the temperature surrounding
the object
To
=
the initial temperature of the
object
t
=
the time in hours
T
=
the temperature of the object
after t hours
k = decay constant
The turkey reaches the temperature of
108°F after 3 hours. Using this
information, find the value of k, to the
nearest thousandth. Use the resulting
equation to determine the Fahrenheit
temperature of the turkey, to the nearest
degree, after 4.5 hours.
Answers
Answer:
The value of k to the nearest thousandth is -0.133
The of the turkey to the nearest degree after 4.5 hours is 186F
Step-by-step explanation:
What is the value of x?
8 in.
5 in.
H
Q
15 in.
Answers
Answer:
8 in is the answer
Step-by-step explanation:
Please please help !!!!!!!!
Answers
Answer:
98°
142°
83°
97°
Step-by-step explanation:
m(arc)JL = 2 × 49° = 98°
m(arc)MJ = 360° - 120° - 98° = 142°
m<KJM = (120° + 46°)/2 = 83°
m<KLM = (360° - 120° - 46°)/2 = 97°
the cost of 3 7/9m cloth is rs 212 4/5.find the cost of
7 2/3m cloth.
Answers
Answer:
[tex]\sf Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]
Find the unit rate:
[tex]\rightarrow \sf 3\dfrac{7}{9} m = Rs. \ 212\dfrac{4}{5}[/tex]
[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{212\dfrac{4}{5}}{3\dfrac{7}{9} }[/tex]
[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{4788}{85} \quad or \quad Rs. \ 56\dfrac{28}{85}[/tex]
Then find the cost of 7 2/3m cloth:
[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{4788}{85} \ * \ 7\dfrac{2}{3}[/tex]
[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{36708}{85}[/tex]
[tex]\rightarrow \sf 7 \dfrac{2}{3} \ m = Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]
