PART 1:
In the diagram below, ΔRST is a right triangle, write the equation you would use to solve for side RT. (For example, cos20 = 13/x )
PART 2:
Using the equation you wrote above, solve for side RT and round your answer to the nearest tenth.
Answer:
[tex](a)\ \sin(46) = \frac{8}{RT}[/tex]
[tex](b)\ RT = 11.1[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a): Equation to determine RT
To do this, we apply sine formula
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(46) = \frac{8}{RT}[/tex]
Solving (b): Solve the equation
[tex]\sin(46) = \frac{8}{RT}[/tex]
Make RT the subject
[tex]RT = \frac{8}{\sin(46)}[/tex]
[tex]RT = \frac{8}{0.7193}[/tex]
[tex]RT = 11.1[/tex]
the sum of 2 numbers is 65 and the difference is 7
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>The sum is x + y = 65
The difference is x - y = 7 .....x = 7 + y
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
x + y = 65
x + 29 = 65
X = 36
The Sum: 36 + 29 = 65
The Difference: 36 - 29 = 7
hope this helps,have a great day!!
~Pinky~
Answer:
36 and 29
Step-by-step explanation:
The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:
x + y = 65
x + 29 = 65
X = 36
Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:
Sum: 36 + 29 = 65
Difference: 36 - 29 = 7
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
Rhombus
Square
Step-by-step explanation:
Given
Attached quadrilateral
Required
Select the type(s) of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Also:
[tex]DE = EF =FG = GD[/tex]
Since all 4 sides are equal, then it is neither a parallelogram nor a trapezoid
Hence, the shape is either a rhombus or a square
b. Find the GCF and LCM of 2^3 x 3^4 x 7 and 2^5 x 5^2 x 7^3 x 13
Please urgent!
Answer:2940
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve for b. Round your answer to the nearest whole degree.
Answer:
44°
Step-by-step explanation:
From sin rule:
a / sin A = b / sin B = c / Sin C
3.6 / sin b = 5.1 / sin 100
Cross multiply :
5.1 * sinb = 3.6 * sin 100
Sin b = 3.5453079 / 5.1
Sin b = 0.6951584
b = sin^-1(0.6951584)
b = 44.039
b = 44°
3. Find the lateral surface area of the figure
below.
No links please I really need an answer
Answer:
284 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of triangle = bh/2 = 4(8)/2 = 16
Area of both triangles = 32
Area of left face = bh = 8(12) = 96
Area of right face = bh = 9(12) = 108
Area of bottom = bh = 4(12) = 48
Total lateral area = 32 + 96 + 108 + 48 = 284
Choose the option that best describes what it means to be 60% done with a project.
There are 60 things to do to finish the project, and you have done 6.
O There are 10 things to do to finish the project, and you have done 6 of them.
There are 100 things to do to finish the project, and you have done 6.
There are 6 things to do to finish the project, and you have done 3 of them.
What is the question of 2/10 + 34/100
27/50=0.54 add the answers together and get that
Use the explicit rule given to write the first four terms the sequence
F(n)=n²+7
Answer:
8, 11, 16, 23
Step-by-step explanation:
the rule is: f(n) = n²+7
first 4 terms are:
f(1) = 1² +7 so f(1) = 8
f(2) =2² +7 so f(2) = 11
f(3) = 3² +7 so f(3) = 16
f(4) = 4² +7 so f(4) = 23
If I made $20 in 4 hours, what is the rate at which I made money?
Answer:
it would be five each hour.
Step-by-step explanation:
a company manufactures two products. market research and available resources require the following constraints
Answer:
I don't see anything to help with!
Step-by-step explanation:
brainlest e answ eeeeee
Answer:
1/4
Step-by-step explanation:
The fraction can be reduced using 3
3/3 = 1
12/3 = 4
3/12 = 1/4
Answer:
1/4
Step-by-step explanation:
factors of 3: 1, 3
factors of 12: 1, 2, 3, 4, 6, 12
GCF is 3
3 / 3 x 12 / 3 =
1 / 4
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
Suppose that 70% of all Americans agree that a candidate is not trustworthy. A survey finds the 116 out of 200 agree that a candidate is not trustworthy. How likely is the result above to happen, if the sample is representative of the population?
Answer:
Prob = 0.00009 = 0.009% , Less Likely
Step-by-step explanation:
Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r) .
,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3 r = no. of success = 116
Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%
Less probability means Less Likely
help me!!!!!!!!!plzzz
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.
Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))
Answer:
[tex]g(h(10)) = 2\sqrt 2[/tex]
Step-by-step explanation:
Given
[tex]g(x) = \sqrt {x - 4[/tex]
[tex]h(x) = 2x - 8[/tex]
Required
[tex]g(h(10))[/tex]
First, calculate [tex]g(h(x))[/tex]
We have:
[tex]g(x) = \sqrt {x - 4[/tex]
This gives:
[tex]g(h(x)) = \sqrt {h(x) - 4[/tex]
Substitute [tex]h(x) = 2x - 8[/tex]
[tex]g(h(x)) = \sqrt {2x - 8 - 4[/tex]
[tex]g(h(x)) = \sqrt {2x - 12[/tex]
Substitute [tex]x = 10[/tex]
[tex]g(h(10)) = \sqrt {2*10 - 12[/tex]
[tex]g(h(10)) = \sqrt {20 - 12[/tex]
[tex]g(h(10)) = \sqrt {8\\[/tex]
Split
[tex]g(h(10)) = \sqrt {4} * \sqrt 2[/tex]
This gives
[tex]g(h(10)) = 2\sqrt 2[/tex]
Answer:
Step-by-step explanation:
At Jen and Perry Ice Cream Company, the machine that fills -pound cartons of Top Flavor ice cream is set to dispense ounces of ice cream into every carton. However, some cartons contain slightly less than and some contain slightly more than ounces of ice cream. The amounts of ice cream in all such cartons have a normal distribution with a mean of ounces and a standard deviation of ounces. Find the probability that a randomly selected carton contains to ounces of ice cream.
Answer:
Step-by-step explanation:
Please answer it. I will give brainliest if its correct..
First find the circumference of the circle:
Circumference = 2 x radius x pi
Circumference = 2 x 4 x 3.14 = 25.12 cm
Now arc ML is 100 degrees.
Multiply the circumference by the arc degree/360 ( 360 is a full circle)
25.12 x 100/360 = 6.98 cm
The answer is 6.98 cm
Plsss helpp bestiessss I’ll mark you brainliesttt
3150 hope that helps...
Circle A contains points B, C, D, and E. BC and DĚ intersect on the exterior of OA at the point F. 68% D 26° Find the measure of SCFE.
Answer:
6
Step-by-step explanation:
Plz help me well mark brainliest if you are correct!!...
A salesperson works 40 hours per week at a job where
she has two options for being paid. Option A is an hourly wage of $
24. Option B is a commission rate of
8% on weekly sales. How much does
she need to sell this week to earn the same amount with the two options?
Answer:
12,000 in sales
Step-by-step explanation:
$24/hour x 40 hours=960 salary
sales x commission rate =salary
sales x .08=960
sales =960/.08
sales=12,000
100 POINTS!!!!!!! Please help me find an equation for the data in the table.
Step-by-step explanation:
First find the common ratio
Then find your first term
Use the terms in the general equation
3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
If 18 people share a barrel of apples equally,each gets 12 apples.if there had been 6 fewer people,how many apples would each person get ?
Answer:
18 apples
Step-by-step explanation:
If 18 people each get 12 apples, then the total number of apples is 18*12=216.
If there were 6 fewer people, there would 18-6=12 people.
To split the total 216 apples between 12 people, so 216/12=18.
Each person would get 18 apples.
What is the slope of the line that passes through the points (9, 5) and (21, 1)?
Write your answer in simplest form.
Answer:
[tex]\displaystyle m = \frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 5)
Point (21, 1)
Step 2: Solve for slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1-5}{21-9}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{-4}{12}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{-1}{3}[/tex]A cube has a volume of 729 cubic centimeters. What can be concluded about the cube? Check all that apply.
Recall the formula Cube volume = s cubed.
The side length, s, can be found using the equation 3 s = 729
This is a perfect cube.
The side length is 243 centimeters.
The side length is 9 centimeters.
Taking the cube root of the volume will determine the side length.
If you multiply the volume by three, you can determine the side length.
Answer:
b c d h
Step-by-step explanation:
i took the test
The true conclusion about the cube are :
This is a perfect cube
The side length is 9 centimeters
Taking the cube root of the volume will determine the side length.
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.
Volume of a cube = l³
where
l = length
Therefore,
volume = l³
729 = l³
cube root both sides
l = ∛729
l = 9 cm
Therefore, what is true about the cube is as follows:
This is a perfect cube
The side length is 9 centimeters
Taking the cube root of the volume will determine the side length.
learn more on volume here: brainly.com/question/5871032
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NEED HELP WILL MARK BRAINLIEST
The amount of money spent at Cherry Hill Mall continues to increase. The total in millions of dollars, can be estimated f(x) = 12(1.12)^{x}, where x is the number of years after the expansion in 2005. According to this model, how much money is being spent this year?
Answer:
$73,564,723.80
Step-by-step explanation:
"x is the number of years after the expansion in 2005"
This year is 2021.
2021 - 2005 = 16
x = 16
[tex] f(x) = 12(1.12)^{x} [/tex]
[tex] f(16) = 12(1.12)^{16} [/tex]
[tex] f(16) = 73.56 [/tex]
Answer: $73,564,723.80
probability of an even number both times
Answer:
1/4
Step-by-step explanation:
The possible outcomes are :
1,2,3,4,5,6
We can see that there is a 3/6 (or 1/2) chance the outcome is even
Let E= odds of getting an even
we're looking for E∩E
Because each roll is independent of the last we can multiply to find their intersection
.5*.5= .25 or 1/4