9514 1404 393
Answer:
30 miles
Step-by-step explanation:
The Law of Sines is used for this purpose. The angle at R is the difference ...
180° -(23° +34°) = 123°
Then the length r satisfies ...
ST/sin(R) = RT/sin(S)
ST/sin(123°) = (20 mi)/sin(34°)
ST = (20 mi)sin(123°)/sin(34°) ≈ 30.00 mi
The length of r or ST is 30 miles.
Determine the x-intercept of the
equation below. Write your answer as
an ordered pair.
-3x + 5y = 15
Answer: -5
Step-by-step explanation:
substitute 0 for y
What is x x − 7 = 13
Answer:
x = 20
Step-by-step explanation:
13+7=20
x = 20
factor each trinomal. write prime if it is not factorable
1. y2+14y+48
2. m2+8m+12
3. y2-12y+60
4. 12y2+17y-5
5. 10x2+31x+15
Answer:
ARMY-BTS
Step-by-step explanation:
Can you find the equation of a line parallel to the green
line through the point (-5,-3). Write you equation in
point-slope form.
Answer:
[tex]\displaystyle y+3=-\frac{4}{5}(x+5)[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
We are required to find the equation of the line passing through the point (-5,-3) and parallel to the green line shown in the graph.
We need to find the slope of the green line. Once we have the slope, we will have the slope of our line since parallel lines have the same slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can clearly identify the following points in the green line: (0,4) (5,0):
[tex]\displaystyle m=\frac{0-4}{5-0}=-\frac{4}{5}[/tex]
Now we have the slope and the point, the equation of the line is:
[tex]\displaystyle y-(-3)=-\frac{4}{5}(x-(-5))[/tex]
[tex]\boxed{\displaystyle y+3=-\frac{4}{5}(x+5)}[/tex]
There were 3 boys for every 4 girls in the group. If there were 20 girls, how many students in all went on the field trip?
Answer:
35 students
Step-by-step explanation:
15 Boys and 20 girls
Hope this is what you needed!
Answer:
Step-by-step explanation:
3 Boys= 4 Girls
[tex]\frac{3}{4} = \frac{boys}{girls}[/tex]
[tex]\frac{3}{4} = \frac{boys}{20}[/tex]
boys= 15
Total students: 15+20=35 students
9
2 points
Item 9 is unpinned. Click to pin.
Fill in the blanks by creating the line perpendicular to
y
=
1
3
x
−
3
y=
3
1
x−3 that goes through (-1, -4) in slope intercept form.
FOR YOUR ANSWER, ONLY TYPE NUMBERS.
y =
Question Blank
x -
Question Blank
Answer: uhh
Step-by-step explanation:
I really don’t know how to do it.
At Break Time Bakery, donuts are 0.75 each and drinks cost $1.50 each. Which equation best represents y, total cost of purchasing x number of donuts and a drink?
Answer: B
Step-by-step explanation:
Answer:
B.)y = 1.50x + .75
Step-by-step explanation:
I need help with this
Answer:
It'll take 11 years till they're the same
Which graph represents y = tan-1x?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
got it right on edge
PLZ HELP! I WILL MARK YOU BRAINLIEST!
Answer:
6
Step-by-step explanation:
[tex]\sqrt[3]{216}[/tex] = 6
A rectangular television's length is 3 inches more than twice its width. The
perimeter of the television is 144 inches. What is the width of the television?
Answer:
49
Step-by-step explanation:
so if you look at it you have to think which numbers will equal 144 and 23 plus 49 plus 3 is the answer
what is the greatest common factor shared by 10 and 40
[tex]\huge\bold\green{Answer:-}[/tex]
Greatest common factor (GCF) of 10 and 40 is 10.
GCF(10,40) = 10
[tex]\huge\bold\red{Explanation:-}[/tex]
We will now calculate the prime factors of 10 and 40, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 40.
Prime Factorization of 10
Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:
10 = 2¹ × 5¹
Prime Factorization of 40
Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:
40 = 2³× 5¹
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1, 2, 5
Factors of 40
List of positive integer factors of 40 that divides 10 without a remainder.
1, 2, 4, 5, 8, 10, 20
Greatest Common Factor
We found the factors and prime factorization of 10 and 40. The biggest common factor number is the GCF number.
So the greatest common factor 10 and 40 is 10.
The Greatest Common Factor of 10 and 40 is 5.
What is Greatest Common Factor?The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)
For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
Given:
We have to find the greatest common factor of 10 and 40.
So factorizing each number
10 = 2 x 5
40 = 2 x 2 x 2 x 5
Here the common factor of 10 and 40 is
= 2 x 5
= 10
Thus, the Greatest Common Factor is 10.
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Find the coterminal angle between 0 and 360°of the angle -280°
Answer: So, the coterminal angle of 450° is -90°.
Step-by-step explanation:(i) 395°
Write 395° in terms of 360°.
395° = 360° + 35°
So, the coterminal angle of 395° is 35◦
(ii) 525°
Write 525° in terms of 360°.
525° = 360° + 165°
So, the coterminal angle of 525° is 165°.
(iii) 1150°
Write 1150° in terms of 360°.
1150° = 3(360°) + 70°
So, the coterminal angle of 1150° is 70°.
(iv) -270°
Write -270° in terms of 360°.
-270° = -360° + 90°
So, the coterminal angle of 270° is 90°.
(v) -450°
Write -450° in terms of 360°.
-450° = -360° - 90°
So, the coterminal angle of 450° is -90°.
for every 6 cups of flour in bread recipe there are 2 cups of milk
Answer:
3
Step-by-step explanation:
3
Given h(x) = -x + 2, find h(4).
The value of the function h(x) at x equal to 4 is -2.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given function is h(x) = -x + 2, the value of the function at x equal to 4 will be calculated as below:-
h(x) = -x + 2,
h(x) = -(4) + 2,
h(x) = -2
Therefore, the value of the function h(x) at x equal to 4 is -2.
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A real number is positive, negative, or zero. True or false
Answer:
True
Step-by-step explanation:
.
Anwer is true yea it true
Always thinking about food, Scooby-Doo and his crew went out to eat. Their total bill was about $82. If the group wanted to leave a 20% tip, how much will the tip cost? (Can you also show your work?)
Answer: it will be $16.4
Step-by-step explanation:
Answer: 16.40
Step-by-step explanation:
82 * 20 = 16.40
What is the quotient of 513 divided by 19
Answer:
27 remainer of 0
Step-by-step explanation:
The number 513 is called the numerator or dividend, and the number 19 is called the denominator or divisor.
The quotient of 513 and 19, the ratio of 513 and 19, as well as the fraction of 513 and 19 all mean (almost) the same: 513 divided by 19, often written as 513/19.
Read on to find the result of 513 divided by 19 in decimal notation, along with its properties.
write an equation given a slope of 1/2 that goes through the ordered pair (2,4)
Answer:
y= 1/2x +3
Step-by-step explanation:
Jeremy performs the same operations on 4 values for x. He records each resulting y-value in a table, which equation shows the operation Jeremy performs on x to get to y?
x: 2,4,6,8
y:5,13,21,29
Answers: y= 2x+1 , y= 4x-3 , y= x+3 , y= 3x-1
Answer:
y= 2x+1
Step-by-step explanation:
How do you find the prime factorization of 72?
Step-by-step explanation:
explanation:
Divide the number to be factored by the prime numbers in turn. Test that result is a natural number. If so, it is a prime factor. Continue until the factorisation is complete.
convert 8.51 into a fraction
Answer:
46 or 0.46
Step-by-step explanation:
Please Help Me =(
Let f(x) = –7x + 9. Suppose you add 2 to the input of f to create a new function g, then multiply the output of function g by –3 to create function h. What are the slope and y-intercept of the graph of function h?
slope = ?
y-intercept = ?
Answer:
Im pretty sure slope is 21 and y intercept is 15
The slope is 21 and the y-intercept is -33 of the graph of function h.
What is a Linear Function?A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.
It represents the line's slope-intercept form, which is written as y = mx+ c.
The function is given in the question below as
f(x) = –7x + 9
⇒ f(x) = –7x + 9
Add 2 to the input of f to create a new function g,
⇒ g(x) = –7x + 9 + 2
⇒ g(x) = –7x + 11
Now, multiply the output of function g by –3 to create function h.
⇒ h(x) = (–7x + 11) × -3
⇒ h(x) = 21x - 33
Compare to the line's slope-intercept form,
Therefore, slope = 21 and y-intercept = -33
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Pls Help! Find the Value of x that makes M Parallel to N
9/2-12v=1/4
please explain how you got your awnser as well.
Answer:v= 17/48
Step-by-step explanation:
-12v=1/4-9/2 move constant to the right hand side and change its sign
-12v=-17/4 subtract the fractions
v=17/48 divide both sides by -12
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much would you pay at the physical store after all discounts, taxes, and shipping fees have been applied?
Item Quantity Physical Store Online Store
Batteries 2 packs $5.99/pack $4.99/pack
Stereo 1 system $100.00/system $90.00/system
CDs 3 CDs $7.95/CD $8.95/CD
$138.04
$118.42
$128.36
The Anwser is $128.32.
What is the y-intercept of the line?
Answer: 1
Step-by-step explanation:
The y axis goes up and down. The slanted line meets the Y axis at 1.
Answer:
1
Step-by-step explanation:
the y intercept would be 1 because that’s where the line passes through the y axis. A more mathematical term would be, the y intercept is (0,1)
sole the equation. check your solution 2.5 y + 6=4.5y-1
Answer:
3.5 = y
Step-by-step explanation:
2.5y + 6 = 4.5y - 1
2.5y + 7 = 4.5y
7 = 2y
3.5 = y
Check:
2.5y + 6 = 4.5y - 1
2.5(3.5) + 6 = 4.5(3.5) - 1
2.5(3.5) + 7 = 4.5(3.5)
8.75 + 7 = 15.75
15.75 = 15.75
Answer:
[tex]y=3.5[/tex]
Step-by-step explanation:
[tex]2.5y+6=4.5y-1[/tex]
Start by subtracting [tex]6[/tex] from both sides of the equation:
[tex]2.5y=4.5y-7[/tex]
Subtract [tex]4.5y[/tex] from both sides of the equation:
[tex]-2y=-7[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-2[/tex]:
[tex]y=3.5[/tex]
_
Check your solution by substituting the solved value of [tex]y[/tex] ([tex]3.5[/tex]) into the initial equation:
[tex]2.5(3.5)+6=4.5(3.5)-1[/tex]
[tex]8.75+6=15.75-1[/tex]
[tex]14.75=14.75[/tex]
Since both sides of the equation are equal to each other, our solution is correct!
John's birthday is this saturday, in buying materials for the party Vicki notices that plates come in packs of 12, cups come in packs of 10, and utensils come in packs of 8 sets. If Vicki wants to have no left overs, how many packs of utensils should she buy?
Answer:
Step-by-step explanation:
So, Vicki wants no left overs whatsoever, which means we have to get all three items to the same number. We first look at 10. We know that 10 will always have a 0 in the one's place, meaning that 8 and 12 have to be multiplied by 5, 10, 15, 20, etc., but they do not need to be multiplied by the same number.
Let's take 8 first. 8 can possibly go up to 40, 80, 120, 160, 200, etc.
Then 12. 12 can possibly go up to 60, 120, 180, 220, 280, etc.
We can see that both numbers have 120 in common, so we shall use that.
We know that we can get 10 to 120 by multiplying 10 by 12, meaning Vicki buys 12 packs of cups.
We know that we can get 12 to 120 by multiplying 12 by 10, meaning Vicki buys 10 packs of plates.
And finally, we know that we can get 8 to 120 by multiplying 8 by 15, meaning Vicki buys 15 packs of utensils.
So, since the question is asking for utensils only, we should say that Vicki buys 15 packs of utensils.
I Need help plz.ASAP
1-3/0--1 = -2/1 = -2
The slope is -2
y=-2x+b
1 = -2(0)+b
1 = b
The y-intercept is 1
The equation is
y = -2x + 1First, we want to find the slope. To do this we use the equation y2-y1 / x2-x1. For the problem, we use the points (-1,3) and (0,1). This would look like: 3-0/1--1. This would simplify to 3/2. To find the y-intercept, find the point (0, y). In this problem, that point would be (0,1). Now you can plug this into y = mx+b. Therefore, your equation is y = 3/2x + 1.