Answer:
Step-by-step explanation:
You have 2 sides given in a right triangle. You can make an equation that will solve for x. In fact the tangent will do. There's no need to solve for the third side.
Tan(x) = opposite / adjacent
opposite = 39
adjacent = 76
Tan(x) = 39/76
Tan(x) = 0.5132
When finding an angle, you need to use the inverse tan.
x = tan-1(0.5132) Use 2nd function tan(x)
x = 27.16 degrees.
Step-by-step explanation:
first we need the length of the Hypotenuse (UW).
Pythagoras :
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
UW² = 76² + 39² = 5,776 + 1,521 = 7,297
UW = sqrt(7297) = 85.42247948...
now we get x from the law of sine :
sinA/a = sinB/b = sinC/c
with the angles always being opposite of the sides.
so, we have
sin(x)/39 = sin(90)/sqrt(7297) = 1/sqrt(7297)
sin(x) = 39/sqrt(7297) = 0.456554296...
x = 27.16498506...° ≈ 27.2°
we could have done it without the Hypotenuse first.
as the angle W is 90-x
sin(x)/39 = sin(90-x)/76 = cos(x)/76
sin(x)/cos(x) = 39/76 = tan(x) = 0.513157895...
x = 27.16498506...° ≈ 27.2°
as expected, it is precisely the same result.
9. Sofija buys a bracelet for $14.50 plus 8% tax.
Momoka buys a necklace for $12 plus 8% tax.
Enter the sum, in dollars, that Sofija and
Momoka paid, including tax.
Answer:
$12.96
Step-by-step explanation:
Before Tax Price: $12.00
Sale Tax: 8.00% or $0.96
After Tax Price: $12.96
2/7>b+5/7 solve the inequality
[tex]\dfrac 27 >b +\dfrac 57\\\\\implies 2 > 7b +5~~~;[ \text{Multiplying both sides by 7}]\\\\\implies 2-5>7b\\\\\implies -3>7b\\\\\implies -\dfrac 37 >b\\\\\implies b<-\dfrac 37\\\\\\\text{Interval,}~ \left(-\infty, -\dfrac 37 \right)[/tex]
16,40 and 56 LCM
Solve this problem
Answer:
LCM = 2^4 x 5^1 x 7^1 = 560
Step-by-step explanation:
I hope this helps you !!Ted likes to run long distances. He can run 20 kilometers in 95 minutes. How far will Ted run in 285 minutes? (numeric only) *
[tex]\boxed{\boxed{\Large \text{Ted will run 60 kilometres in 285 minutes.}}}[/tex]
Step-by-step explanation:Using the distance-time-speed relationship:
[tex]\boxed{\Large \text{speed = $\frac{\rm distance}{\rm time}$}}[/tex]
[tex]\boxed{\Large \text{distance = speed $\times$ time}}[/tex]
[tex]\boxed{\Large \text{time = $\frac{\rm distance}{\rm speed}$}}[/tex]
so if Ted can run 20 kilometres (distance) in 95 minutes (time), then his speed = 20 ÷ 95 = 4/19 km/min.
Using this result, to calculate how far Ted will run in 285 minutes, we can say that distance = 4/19 × 285 = 60 kilometres.
∴ Ted will run 60 kilometres in 285 minutes.
[tex]\hrulefill[/tex]
To learn more about speed:
https://brainly.com/question/31756299
Kaitlyn drove 360 miles in 9 hours. If she continues driving at the same speed, how far will she have driven in 11 hours?
Answer:
440 miles
Step-by-step explanation:
First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.
Hope this helps! :)
I'll give brainliest to the right answer!!!
Find three consecutive odd integers such that the difference of twice the second and the first is 11.
Answer:
7, 9, 11
Step-by-step explanation:
question: Find three consecutive odd integers such that the difference of twice the second and the first is 11.
make the 3 consecutive odd intergers x, y, and z.
numbers are consective (come right after another) AND odd, meaning you would add 2 every time. therefore:
x+2=y
y+2=z
given that: "difference of twice the second and the first is 11."
difference means subtraction
second number is the variable y
first number is the variable x
2y-x=11
----------------
3 equations:
2y-x=11
x+2=y
y+2=z
----------solve by substitution
x+2=y
x =y-2 into 2y-x=11
2y-(y-2)=11
2y-y+2=11
y=9
second number is 9
-----
numbers are 7, 9, 11
Solve using substitution.
X = 1
6x + y = 1
please help
Answer: (1,-5)
In other words, x = 1 and y = -5
=====================================================
Work Shown:
6x + y = 1
6(1) + y = 1
6 + y = 1
y = 1-6
y = -5
The solution as an ordered pair is (1,-5)
Notice I started with the second equation and substituted in the first equation. The idea is to somehow reduce the two variables into one variable, so you can solve for that remaining variable.
Answer:
6x+y=1
or,6×1+y=1
or,6+y=1
or,y=6-1
ans,y=5
Pls answer this question
Yesterday, 5/6 of the 120 students in a contest gave their speeches. How many students gave their speeches.
Answer:100 Estudiantes dieron su discurso
Step-by-step explanation:
120÷6=20
20x5=100
100 Students
How?
120÷6=20
You can do this,
or you can do
120×1/6=20
_____________________________________________
20×5=100
Therefore,
100 students gave their speeches.
PLS HELP!
For which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3
(square root) (-2x)^2
The value of x must be less than zero for the expression to make sense
The value of x must be less than zero for the expression to make sense
The value of x must be greater than zero for the expression to make sense
For each of the expressions to make sense, the values inside the square root must be greater than zero.
For the expression [tex]\sqrt{-2x^2}[/tex]
-2x^2 > 0
x^2 < 0/-2
x^2 < 0
x < 0
The value of x must be less than zero for the expression to make sense
For the expression [tex]\sqrt{(-2x)^3}[/tex]
(-2x)^3 > 0
-8x^3 > 0
x^3 < 0/-8
x^3 < 0
x < 0
The value of x must be less than zero for the expression to make sense
For the expression [tex]\sqrt{(-2x)^2}[/tex]
(-2x)^2 > 0
2x^2 > 0
x^2 > 0
x > 0
The value of x must be greater than zero for the expression to make sense
Learn more on inequality here: https://brainly.com/question/24372553
If 3(x - 2) = 6, then x
Answer:
8
Step-by-step explanation:
3(x - 2) = 6
3x - 6 = 6
x - 6 = 2
x = 8
hope it helps :)
mark brainliest!!
Ernesto bought a 20-pound bag of dog food for his Great Dane, Tank. After 7 days, all the dog food was gone.
How much dog food did Tank eat each day?
Answer:
About 2.9 pounds per day.
Step-by-step explanation:
20÷7=2.85714...
rounded- 2.9
So Tank, the Great Dane, ate about 2.9 pounds per day.
Answer:
Step-by-step explanation:
2 6/7
Getting trained and licensed as a truck driver involves a one-time cost of $450. Gas and insurance end up costing about $2 per mile. For the first delivery, you will get paid $350 plus $6 per mile that you drive. Write 2 equations and solve this system.
The question is an illustration of a system of linear equations.
The system of linear equations is: [tex]y=450 + 2x[/tex] and [tex]y = 350 + 6x[/tex]The solution to the equation is (25,500)Let the number of miles be x.
Getting trained and licensed
One time cost: $450Gas and Insurance: $2 per mileSo, the equation is:
[tex]y=450 + 2x[/tex]
Delivery
First delivery: $350Rate: $6 per mileSo, the equation is:
[tex]y = 350 + 6x[/tex]
Hence, the system of linear equations is:
[tex]y=450 + 2x[/tex] and [tex]y = 350 + 6x[/tex]
To solve the equation, we equate both, as follows:
[tex]450 + 2x = 350 + 6x[/tex]
Collect like terms
[tex]6x - 2x = 450 - 350[/tex]
[tex]4x = 100[/tex]
Divide both sides by 4
[tex]x = 25[/tex]
Substitute 25 for x in [tex]y=450 + 2x[/tex]
[tex]y = 450 + 2 \times 25[/tex]
[tex]y = 450 + 50[/tex]
[tex]y = 500[/tex]
Hence, the solution to the equation is (25,500)
Read more about linear equations at:
https://brainly.com/question/14323743
what is the slope of (8,3) (-5,3)
Answer:
-13x. (I think)
Step-by-step explanation:
Helppppp pleaseee????
Answer:
Lower quartile 3, median 5, Upper quartile 7
Step-by-step explanation:
First divide the data in half 1 3 4 and 6 7 7
The median is the middle between 4 and 6, so it is 5.
The lower quartile is the median in the lower half, 3
The upper quartile is the median in the upper half, 7
PLEASE HELP WILL MARK BRAINIEST!!!!!
Answer:
The bisector of a given angle
Step-by-step explanation:
Because, the given picture shows an acute angle and the markings on it are of which you can see when a bisector is being searched for.
5 x (3+H) = 15+45. What is H?
Answer:
9
Step-by-step explanation:
5 x 3 = 15 and 5 x H = 45
45 / 5 = 9
rotate segment AE about point F 144 degrees
Answer:
DC
Step-by-step explanation:
If we rotate a segment around a point 360 degrees, we have rotated it around to its original point. Similarly, if we rotate it 180 degrees, we have rotated it to the side opposite of where it once was relative to the point.
What we can do is see how much 144 degrees is of 360 and use that to determine how far around we rotate AE around F.
144/360
divide by 12 because that is a common factor of both the numerator and denominator
12 / 30
divide by 2 because that is a common factor
6/15
divide by 3 because that is a common factor
2/5
Therefore, 144/360 = 2/5. This means that we rotate segment AE 2/5 of the way around point F. We have 5 sides in the polygon ABCDE, and each represents 1/5 of the way around. Going counterclockwise, ED represents 1/5, DC represents 2/5, and so on. We are looking for 2/5, so DC is our answer
If I have a 93.3 in my class and I took a test, got 75% on it (the test is worth 20 points) what would my grade be? I need help ASAP!!!!
Answer:
it will be an 91 or 88
Step-by-step explanation:
2 years,18 month.express the first quantity as a percentage of the second quantity
Answer:
2 years= 12 months
12÷18×100= 66.67%( approx)
2) 20cm=200mm
225÷200×100
=112.5%
Step-by-step explanation:
Answer:
2 years= 12 months
12÷18×100= 66.67%( approx)
Step-by-step explanation:
Name a number that has the same absolute value as 23
Answer: A number with the same absolute value of 23 is -23.
Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.
Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.
−6 is 6 away from zero, so the absolute value of −6 is 6.
The number that has the same absolute as 23 is -23.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
An absolute number x is denoted by |x|
If x = -x,
|-x| = x
Now,
|23| = 23
|-23| = 23
So,
-23 has the same absolute value as 23.
Thus,
-23 is the number.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
rewrite in simplest terms -8(-10u+6u-7)-10u
Answer:
22u + 56
Step-by-step explanation:
-8(-10u + 6u - 7) - 10u
1.) Combine like terms
-8(-10u + 6u - 7) - 10u
-8(-4u - 7) - 10u
2.) Distribute
-8(-4u - 7) - 10u
-8(-4u) -8(-7) - 10u
32u + 56 - 10u
3.) Combine like terms
32u + 56 - 10u
22u + 56
Therefore, the simplified equation is 22u + 56.
Answer:
22u+56
Step-by-step explanation:
1. simplify each term:
32u+56−10u
2. Subtract 10u from 32u.
22u+56
Hope this helps :)
prove the identity.
(1-sin^2x)tanx=cosxsinx
Note that each Statement must be based on a Rule
[tex](1-\sin^2 x) \tan x \\\\=\cos^2 x \cdot \dfrac{\sin x}{\cos x}\\\\=\cos x \sin x[/tex]
The perimeter of the shape is
feet.
Answer:
This doens't realy make sense dude
Josh and Adelina are staff members for a political candidate. They are considering hiring callers who will call voters and ask for donations. (picture below)
a) only adelina's
b) only josh's
c) both statements are correct
d) neither statements are correct
Answer:
Adelina
Step-by-step explanation:
BINGO cards are $2 for 3 cards. How many BINGO cards can joy get for $12
Answer:
18 cards
Step-by-step explanation:
Because..[tex]12 \div 2 = 6 \times 3 = 18[/tex]10x-9y=24
y= x-2
find x and y
Answer:
x=6,y=4
Step-by-step explanation:
10x-9(x-2)=24
10x-9x+18=24
x=24-18
x=6
sub x
y=6-2
y=4
Answer:
x=6 y=4
Step-by-step explanation:
Substitute x-2 in for y: 10x-9(x-2)=24
Distribute: 10x-9x+18=24
Subtract 10x-9x=1x
Subtract 18 from both sides
x=6
Substitute 6 for x
y=6-2
y=4
x=6 y=4
Hello plz help with these two.
Problem 1
Answer: Choice D--------------
Explanation:
The vertices are (-12,0) and (12,0). Both of which are on the same horizontal line. Because of this, we have a hyperbola that opens leftward and rightward. Such hyperbolas are of the form
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]
where (h,k) is the center and the a,b terms help set up the asymptotes.
The midpoint of the vertices (-12,0) and (12,0) is the point (0,0). This is the center. So we know that h = 0 and k = 0.
For left/right opening hyperbolas, the asymptotes can be described as the equations:
y = (b/a)x
y = (-b/a)x
Or we can condense them into [tex]y = \pm \frac{b}{a}x[/tex]. Compare this to the given equation [tex]y = \pm\frac{5}{12}x[/tex] to see that b = 5 and a = 12.
Therefore, we get the following:
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\\\\\frac{(x-0)^2}{12^2}-\frac{(y-0)^2}{5^2}=1\\\\\frac{x^2}{144}-\frac{y^2}{25}=1[/tex]
That points us to choice D.
You chose the correct answer.
=============================================================
Problem 2
Answer: Choice A--------------
Explanation:
Divide both sides by 3600 so we can turn that "3600" into "1". Then our goal is to get that "1" to its own side like so:
[tex]25x^2-144y^2 + 3600 = 0\\\\\frac{25x^2-144y^2 + 3600}{3600} = \frac{0}{3600}\\\\\frac{25x^2}{3600}-\frac{144y^2}{3600} + \frac{3600}{3600} = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} + 1 = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} = -1\\\\-\frac{x^2}{144}+\frac{y^2}{25} = 1\\\\-\frac{x^2}{12^2}+\frac{y^2}{5^2} = 1\\\\[/tex]
We see that a = 12 and b = 5 like earlier, so we end up with the same asymptotes as before. The only difference is that this hyperbola opens upward/downward rather than left/right.
You made the correct choice in picking answer A. Both of your answers are correct. Nice work.
What is the difference of the fractions? Use the number line to help find the answer.
1/5-3/4
○ -19/20
○ -11/20
○ 11/20
○ 19/20
Answer:
-11/20
Step-by-step explanation:
[tex]\frac{1}{5} - \frac{3}{4} = \frac{?}{?}[/tex]
first you want to get a common denominator (number on the bottom)
[tex]\frac{4}{20} - \frac{15}{20} = \frac{?}{?}[/tex]
now you can subtract the numerators (number on tope) (also don't touch bottom)
[tex]it ~equals = -\frac{11}{20} ~~because ~4-15 ~is -11[/tex]
write the equation of the line which has the given slope "m" and which passes through the given point.........a.(2,10) and m=-4.............b.(4,-4) and m=3/2....c.(0,0) and m=3/5
Answer:
A\ B=-30
Step-by-step explanation:
Y=mx +b, Y=10,X=2 ,m=4
10=4*10+b
10=40+b
-40+10=b
b=-30
I GUESS...
Answer:
y=-4x+18
Step-by-step explanation:
y-y1=m(x-x1)
y-10=-4(x-2)
y=-4x+8+10
y=-4x+18
someone please help me giving brainlist
Answer:
A
Step-by-step explanation: