What is the distance between the points (8, 12) and (1, 3)? If necessary, round
your answer to two decimal places.
O A. 130 units
B. 11.40 units
C. 12.08 units
D. 146 units
Answer:
B
Step-by-step explanation:
(8,12)=(x1, y1)
(1,3)=(X2, y2)
distance=√(x2-x1)^2+(y2-y1)^2
=√(1-8)^2+(3-12)^2
=√(49+81)
√130
=11.40
If sin(0)=24/26 what are the other two trigonomic ratios
Answer:
[tex]\begin{aligned}{&\cos \theta=\frac{10}{26} \\\bf{&\tan \theta=\frac{24}{10}}\end{aligned}[/tex]
Step-by-step explanation:
Since the angle is in the first quadrant, the values of all trigonometric functions are positive. Also. the formulas for the trigonometric functions we need to find from the problem are shown below:
[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\\tan \theta &=\frac{y}{x}\end{aligned}[/tex]
Based on the formulas listed, the value of y and r are y = 24 and r = 26 respectively. This means that in order to determine the value of the other functions, we need In compute for the value of x using the Pythagorean Theorem:
[tex]\begin{aligned}r^{2} &=x^{2}+y^{2} \\r^{2}-y^{2} &=x^{2}+y^{2}-y^{2} \quad\left[\text { \text{Subtracting \ both \ sides \ of \ the \ equation\ by} } y^{2}\right] \\r^{2}-y^{2} &=x^{2} \\\sqrt{r^{2}-y^{2}} &=\sqrt{x^{2}} \\\sqrt{r^{2}-y^{2}} &=x \\\sqrt{26^{2}-24^{2}} &=x \\10 &=x\end{aligned}[/tex]Then, substituting this to the formula to determine the answers yields:
[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\&=\frac{10}{26} \\\tan \theta &=\frac{y}{x} \\&=\frac{24}{10}\end{aligned}[/tex]
Therefore, the answers are:
[tex]\begin{aligned}&\cos \theta=\frac{10}{26} \\&\tan \theta=\frac{24}{10}\end{aligned}[/tex]
Answer:
See below
Step-by-step explanation:
We are here given that ,
[tex]\longrightarrow \sin\theta =\dfrac{24}{26}[/tex]
And we would like to find out other trigonometric ratios ( since it is not mentioned about which two I will find out all 6 ) . As we know that ,
[tex]\longrightarrow \sin\theta =\dfrac{perpendicular}{hypotenuse} =\dfrac{p}{h}[/tex]
So that ,
[tex]\longrightarrow \dfrac{p}{h} =\dfrac{24}{26}[/tex]
Let us assume the given ratio to be 24x : 26x .
So we can say that ,
hypotenuse = 26xperpendicular = 24xNow let's find out the value of base , so that we can find out the other ratios .
By Pythagoras Theorem ,
[tex]\longrightarrow (perpendicular) ^2+(base)^2=(hypotenuse) ^2[/tex]
Substitute the respective values ,
[tex]\longrightarrow (26x)^2=(24x)^2+b^2\\[/tex]
[tex]\longrightarrow 676x^2 = 576x^2+b^2\\ [/tex]
[tex]\longrightarrow b^2=100x^2\\[/tex]
[tex]\longrightarrow b =\sqrt{100x^2}\\[/tex]
[tex]\longrightarrow \boldsymbol{ b = 10x } [/tex]
Now we may find the other ratios as ,
[tex]\longrightarrow \cos\theta = \dfrac{base}{hypotenuse}=\dfrac{10x}{26x}=\boxed{\boldsymbol{\dfrac{5}{13}}}\\[/tex]
[tex]\longrightarrow \tan\theta =\dfrac{perpendicular}{base}=\dfrac{24x}{10x}=\boxed{\boldsymbol{\dfrac{12}{5}}}\\[/tex]
[tex]\longrightarrow \cosec\theta =\dfrac{hypotenuse}{perpendicular}=\dfrac{26x}{24x}=\boxed{\boldsymbol{\dfrac{13}{12}}}\\ [/tex]
[tex]\longrightarrow \sec\theta =\dfrac{hypotenuse}{base}=\dfrac{26x}{10x}=\boxed{\boldsymbol{\dfrac{13}{5}}} \\[/tex]
[tex]\longrightarrow \cot\theta =\dfrac{base}{perpendicular}=\dfrac{10x}{24x}=\boxed{\boldsymbol{\dfrac{5}{12}}} [/tex]
And we are done !
no links please and thanks
SORRY B GFVBSDJ FS VBDF HVDFSBV FNVFDHS
pls help!! does anyone know the answer??? :)
Step-by-step explanation:
1-(a)
2-(c)
3-(d)
4-(b)
I hope it helped you
If u didn't understand anything pls ask in comment
The sum of two numbers is 39. the second number is 6 more than half of the first number. let a represent the firstnumber and let b represent the second number. what are the two numbers? use the table to answer the question.
Answer:
a = 22b = 17Step-by-step explanation:
Givens
Let a = the first number
Let b = the second number
Equations
a + b = 39
b = 1/2 * a + 6
Put the second equation into the first one
a + 1/2 * a + 6 = 39 Simplify the left.
(3/2)a + 6 = 39 Subtract 6 from both sides
(3/2)a + 6 - 6 = 39 - 6 Combine
(3/2)a = 33 Multiply both sides by 2
3a = 33*2
3a = 66 Divide both sides by 3
3a/3 = 66/3
a = 22
b = 1/2 a + 6
a = 22
b = 1/2 * 22 + 6
b = 11 + 6
b = 17
Check
22 + 17 = 39
What is the value of sin(80°)cos(20°) – cos(80°)sin(20°)?
The value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.
What is difference formula in trignometry?The difference formula in trignometry for the sine funciton is given as,
[tex]\sin(A-B)=\sin(A)\cos(B) -\cos(A)\sin(B)[/tex]
The trignometric equation given in the problem is,
[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)[/tex]
Compare this equation with the above eqution, we get,
[tex]A=80^o\\B=20^o[/tex]
Thus, this equation can be written as,
[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(80-20)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(60)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\dfrac{\sqrt{3}}{2}[/tex]
Hence, the value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.
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explain how you know that \sqrt{37} is a little more that 6.
Here's how we know that [tex]\sqrt37[/tex] is a little more than 6:
6 squared is 36.
7 squared is 49.
Since 37 is between 36 and 49, we know that [tex]\sqrt{37}[/tex] must be between 6 and 7. In other words, [tex]\sqrt{37}[/tex] is a little more than 6.We can also see this visually by looking at a number line. If we plot the numbers from 6 to 7 on a number line, we can see that [tex]\sqrt{37}[/tex] is somewhere between 6 and 7.
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How do you reduce 3.75 to its lowest terms
Answer: 3.75 is at it's lowest terms. if you mean fractions its 15/4 or 3 & 3/4
Step-by-step explanation:
HELP PLEASE points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume
Answer:
D. Volume
Explanation:
volume - amount of space that a substance occupiesHere the substance is soil and planter will hold the specific volume of soil.
You want to purchase a Christmas tree, normally priced at $364. 0. It is on sale for $72. 80. What percent of a discount are you getting? List your answer as a whole number
Answer:
20% off
Step-by-step explanation:
Divide:
72.8/364
Answer:
.20
Convert:
.20=20%
The shopkeeper giving 80% discount on the Christmas tree during the sale.
What is discount?A discount is an amount that is subtracted from the regular price of an item.
What is discount percent formula?[tex]discount \ percent = \frac{original \ price - final \ price }{original \ price } \times 100[/tex]
According to the given question.
The marked price of the Christmas tree i.e. original price = $364.
The price of the Christmas tree on sale i.e. final price = $72.80
So,
The discount given on the Christmas tree
= Original price - final price
= $364 - $72.80
= 291.2
Therefore,
Discount percent = [tex]\frac{291.2}{364} (100)= 80 \ percent[/tex]
Hence, the shopkeeper giving 80% discount on the Christmas tree during the sale.
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Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?
Answer:
Hope this helps!!!!!!
Mark Brainlest!!!!!!!!!!
Step-by-step explanation:
Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?
Ratio = 1 : 3
Let Mark's share be 1x = x
and Henry's share be 3x
We know that Mark gets £9
So,
1x = x = £9
Then 3x = £(3 * 9) = £27
HENCE,
Mark's share = £9
Henry's share = £27
Total money = Mark's share + Henry's share = £9 + £27 = £36
Answer:
£27
Step-by-step explanation:
so it shows mark is 1 while Henry is 3
we know that Mark is 1/4 while Henry is 3/4
/4 because the total is 4 so whatever their ratio is over their total
so we do: 1 = 9
3 = ?
and then u cross multiply
3*9 = 27 ÷ 1 = 27
so Henry receives £27
please help me answer the question in the image
Answer:
2x/x+2
Step-by-step explanation:
Factor out 2x in the numerator
Then you get: 2x(x+4)
Factor the denominator
Two numbers that multiply to 8 and add to 6(2 and 4)
So you get: (x+2)(x+4)
Now you have: (2x(x+4))/(x+2)(x+4)
Simplify by cancelling the x+4
2x/x+2
Hey there!
Answer: [tex] \Rightarrow \boxed {\sf{\frac{2x}{(x+2)}}}[/tex]
Solving steps:-
[tex] \rightarrow\sf{\frac{ {2x}^{2} + 8x}{ {x}^{2} + 6x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ {x}^{2} + 4x +2x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ x (x + 4) +2(x + 4)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x\sout{(x + 4)}}{ \sout{(x + 4)} (x + 2)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x}{ (x + 2)} }[/tex]
~Done~
Pizza by the Pan sold 4 dozen pizzas in the afternoon. That night, they sold 2.5 times as many pizzas as they did during the afternoon. How many pizzas did they sell in all that day? Show your work and check whether your answer makes sense. Show how you can tell that your answer makes sense
Answer:
it's 2.9 that's how. I get the qnswer
what is the area of the figure in square units?
Answer:
Area of a Rectangle: l x w
2 x 3 = 6
Area of a Triangle:
[tex] \frac{b \times h}{2} [/tex]
The slanted height of the triangle is 2 and the base of the triangle is also 2 so
[tex] \frac{2 \times 2}{2} \\ \\ \frac{4}{2} = 2[/tex]
So to get the area of the figure you add the area of the rectangle plus the area of the triangle.
6+2=8
The area of the figure is 8 units square
Complete the coordinates using the given equation
Y=3x+3
X=5
Answer:
(5,18)
Step-by-step explanation:
Plug in the X value into the Y equation,
Y=3(5) +3
Y=15 +3
Y=18
Then format your results as coordinates in the standard (X,Y) format
(X,Y)
(5,Y)
(5,18)
HELPPPP Two planes leave the airport at noon, one traveling east at 300 km/h and the other traveling northwest at 45 km/h. How far apart are they at 2 pm?
How far both planes travelled is an illustration of distance
Both planes are 510 km apart at 2 pm
How to determine their distance apart?The rates of the two planes are given as:
Plane A = 300km/h
Plane B = 45km/h
Calculate the difference (r) in their rates
r = 300km/h - 45km/h
This gives
r = 255km/h
At 2 pm, both planes have travelled for 2 hours.
So, the distance between them is:
d = 255 * 2
d = 510km
Hence, both planes are 510 km apart at 2 pm
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Which model best fits the data shown in the scatterplot?
A. y=-0.7x+1.9
B. y = 0.7x+1.9
C. y=-0.7x-3.8
D. y=1.9x-07
Answer:
A. y = -0.7x + 1.9
Step-by-step explanation:
The y-intercept is roughly +2 as you can see from the scatterplot therefore ⇒ Not option C or D [both of which are negative]The slope is slanted from top left to right bottom [meaning the slope is negative] ⇒ Not BThe correct option is AIn what areas is leslie's overspending
hurting her budget?
select all that apply.
ignore my check marks those weren’t right pleas help
Answer:
is there a picture to answer?
Step-by-step explanation:
1. What values of a, b, and c would you use in the quadratic formula for the following equation? (1 point)
5x + 9x=4
O a=-4.5 = 9,c=5
O a = 5,6 = 9,c=-4
O a=5,b= -4,0 = 9
Oa=5, b =9, c = 4
Answer:O a=5,b= -4,0 = 9?
Step-by-step explanation:i am not sure if this is right
what does 13.2 − 1.78 equal
Step-by-step explanation:
Answer:
11.42
Step-by-step explanation:
c)
Point C has me
same x-coordinate as point A
same y-coordinate as point B
Write down the coordinates
of point
Answer:
(-4, -2)
Step-by-step explanation:
x-axis is horizontal and y-axis is vetical. The first valye of point A is -4, the second value of point B is -2, therefore, point C = (-4, -2)
The coordinates of C from the given graph are (-4, -2).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of A = (-4, 1)
The coordinates of B = (3, -2)
Now,
Point C has me same x-coordinate as point A and the same y-coordinate as point B
So,
The coordinates of C = -4, -2)
Thus,
The coordinates of C from the given graph are (-4, -2).
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Henry found some pants on sale for 60% off. If the pants were originally $100, how much are they now?
Answer:
$40
Step-by-step explanation:
Old Sale Price = $100
It was given 60% discount
60% of 100 = 0.6 x 100 = 60
we remove the discount from the original price( 100 -60 ) = 40.
So the new sale price for the pants are now $40
The graph of the function f(x) is shown.
Enter a value of x where f(x) and the equation y = 0.5x + 3 intersect.
Answer:
x = 2
x = -1.5
Step-by-step explanation:
The graph is of function f(x) = x²
Therefore, to find where the function intersects with y = 0.5x + 3,
equal the functions and solve for x:
⇒ x² = 0.5x + 3
⇒ x² - 0.5x - 3 = 0
Multiply both sides by 2:
⇒ 2x² - x - 6 = 0
Factor:
⇒ 2x² - 4x + 3x - 6 = 0
⇒ 2x(x - 2) + 3(x - 2) = 0
⇒ (x - 2)(2x + 3) = 0
Therefore:
(x - 2) = 0 ⇒ x = 2
(2x + 3) = 0 ⇒ x = -1.5
Question 2
Help
Meeeeeeeeeeeeeee
Answer:
black screen
Step-by-step explanation:
this is a black screen
Mr. Sanko downloaded 34 more songs than Mrs. Sanko downloaded. Together they downloaded 220 songs. How many songs did each download?
Let X=Mr. Sanko and Y=Mrs. Sanko
a. Mr. Sanko downloaded 127 songs.
Mrs. Sanko downloaded 93 songs.
b. Mr. Sanko downloaded 93 songs.
Mrs. Sanko downloaded 127 songs.
c. They downloaded the same amount of songs.
Part b: Type the two equations for this situation:
please help ive been on this question for hours
Answer: 52.4
Step-by-step explanation:
Answer:
π\3 ≈ 1.0 in²
Step-by-step explanation:
area of a full circle= 2πr = 2π(10) = 20π
central angle of full circle= 360°
area of the shaded region= ?
angle of shaded region= 60°
[tex] \frac{360}{60} = \frac{20\pi}{?} \\ \: \\ {?} = \frac{20\pi \times 60}{360 } = \frac{\pi}{3} [/tex]
A watch company is developing packaging for its new watch. the designer uses hexagons with a base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype? 150 in3 200 in3 250 in3 300 in3
Answer:
The answer should be C. 250 in^3
Answer:
C. 250 in^3
Step-by-step explanation:
Consider the quadratic function.
f(x)=x^(2)+2x-15
If the line of symmetry of the function is located at x=N, what is the value of N?
HELP ASAP
Answer:
N = -1
explanation:
x = N
solving steps:
[tex]\sf f(x)=x^2+2x-15[/tex]
To find symmetry of a quadratic function.
vertex formula : [tex]\sf x=\dfrac{-b}{2a}[/tex]
[tex]a=1,\:b=2[/tex]
[tex]\sf x=\dfrac{-2}{2\cdot \:1}[/tex]
[tex]\sf x = -1[/tex]
Then,
N = -1
System of Equations- pls help with the following problem
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answer:
b no.is the correct answer.
Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Z=