Answer:
5
Step-by-step explanation:
The x coordiantes are the same so
the distance is the difference in the y coordinates
10 - 5 = 5
S and T are subsets of a universal set, U, such that: U = {a, b, c, d, e, f, g, h, i} S = {a, b, e} T = {a, d, f, g}. What are the elements of S ⋃ T?
Answer:
S∪B = {a,b,e,a,d,f,g}
Step-by-step explanation:
According to the Question,
Given, S and T are subsets of a universal set U ( U = {a, b, c, d, e, f, g, h, i} )
And, S = {a, b, e} , T = {a, d, f, g}
Thus, S∪B(S union B) = n(S) + n(T)
S∪B = {a,b,e,d,f,g} (There It contains all the elements present in S & B).
Write the equation in slope-intercept form in each line based on the information give
The line contains the points
(1,-2)and(2,4)
Answer:
y= 6x -8
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]
Gradient
[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]
= 6
y= 6x +c
To find the value of c, substitute the equation with a pair of coordinates.
When x= 1, y= -2,
-2= 6(1) +c
c= -2 -6 (-6 on both sides)
c= -8
Thus, the equation of the line is y= 6x -8.
You remember recording bowling scores of 116, 105, 109, and 113; however, you cannot remember your score in the fifth game. You know your bowling average is 109, what did you score on the fifth game?
Answer:
the answer is 102
Step-by-step explanation:
hope this helps
PLEASE HELP QUICK! The following polygons are given. All of the polygons are regular polygons.
Answer:
1. Convex 15-gon, Convex 18-gon, Convex 45-gon
2. Increases
3. Decreases
4. Increases
5. Stays the same
Step-by-step explanation:
The formula for finding the measure of an interior angle, θ, of a polygon with 'n' sides is given as follows;
[tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex]
1. Polygons that have interior angles with whole numbers are factors of 180
The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180
Therefore, from the options, the polygon that have whole number interior angles are;
15, 18, and 45
Which gives;
Convex 15-gon
θ₁₅ = (15 - 2) × 180°/15 = 156°
Convex 18-gon
θ₁₈ = (18 - 2) × 180°/18 = 160°
Convex 45-gon
θ₄₅ = (45 - 2) × 180°/45 = 172°
2. From the equation of the interior angles of a polygon, [tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex], we have;
As n increases, (n - 2)/n increases towards 1
Therefore, as the number of sides 'n' of a polygon increases, the interior angle of the polygon increases
3. Given that the sum of the interior and exterior angles of a polygon is 180°, as the interior angles increases as the number of sides increases, the exterior angle decreases
4. The total sum of the angles increases as the number of sides of the polygon increases and decreases as the number of sides of the polygon decreases
5. The sum of the exterior angles of a polygon is given as follows
[tex]n \times (180^{\circ} - \theta) = n \times \left(180^{\circ} - \dfrac{(n - 2) \times 180^{\circ}}{n} \right) = n\cdot 180^{\circ} - n\cdot 180^{\circ} + 360^{\circ}[/tex]
[tex]n \times (180^{\circ} - \theta) = 360^{\circ}[/tex]
Therefore, total sum of the exterior angles of a regular polygon is always (remains the same) 360°.
what is the arc measure? what is the arc length?
Answer:
do pi times diameter divided 8 and you'll get your answer :)
Step-by-step explanation:
so do 3.14 times 26.4 divided 8
which of the following number are prime numbers 1,7,36,16,2,51,25
Answer: 2 and 7
Step-by-step explanation: prime number is a number that is divisible only by itself and 1
PLEASE HELP AND EXPLAIN!
A. y=60x
B. y=80x
C. y=10x
D. y= 6x
Answer:
C).
Step-by-step explanation:
One of the points on the graph that the path of bike b crosses is (6,60).
When you divide this to find the unit rate you get 10/1 therefore the equation of bike b= y+10X
Which transformation is a translation?
Answer:
i don't know but o o o o right e o right e auto park
Answer:
4234324tgfgdfgdgd
Step-by-step explanation:
Find the surface area of the rectangular prism
Answer:
22mi
Step-by-step explanation:
Formula: A=2(wl+hl+hw)
h=1mi
l=5mi
w=1mi
Using the formula,
2·(1·5+1·5+1·1)=22mi
Therefore, the surface area of the rectangular prism is 22mi
the dimensions of a lawn shaped like a trapezoid are given in meters. what is the area of the lawn in square meters?6m, 3m, 5m, 14m
Answer:
the answer is 14m
Step-by-step explanation:
sorry Kung Hindi Tama aNg sagot.piro Sana makatolong
Brianliest help please
Answer:
answer is option C
3+7=10
7-3=4
C.
Step-by-step explanation:
x + y = 10
x - y = 4
x = 4 + y
Okay, so now we substitute our third equation into equation 1. Then equation one becomes..
4 + y + y = 10
4 + 2y = 10 ┌(・。・)┘♪
Mk now we subtract 4 from both sides ofc.
2y = 10 - 4
2y = 6
Now divide by 2
y = 3
And now the last one-
substituting y = 3 into equation 3 to find the value of x!
(. ❛ ᴗ ❛.)
x = 4 + y, x = 4 + 3, x = 7
So, that's how I got this answer! (◕ᴗ◕✿)
Does this app actually work for ya'll????
Answer:
Yessssss!
Step-by-step explanation:
Answer:
yess!! look up your question before you ask it :))))
thx for the points too hehe
If t = 5 and u = 19, what is vu + 25t?
Answer:
12
Step-by-step explanation:
[tex]\sqrt{u+25t}[/tex]
[tex]\sqrt{19+25(5)}[/tex]
[tex]\sqrt{144}[/tex]
12
Answer:
12
Step-by-step explanation:
Evaluate and substitute:
Sqrt of 19 + 25(5)
Sqrt of 19 + 125 = 144
Sqrt of 144
Sqrt of 144 = 12
Therefore, our answer!
Hope this helps!
100 divided by 2
please show work
thank you
Answer:
100÷2= 50
Step-by-step explanation:
Because if we divide a 100 equally by 2 it will be 50
Answer the question.
Answer:
[tex] \frac{8 {x}^{2} y}{6 {x}^{2} {y}^{2} } \\ = \frac{8×3}{6 {y}^{2} } \\ = \frac{24}{6 \times {3}^{2} } \\ = \frac{4}{9} [/tex]
A vertical pole 32 feet tall stands on a hillside that makes an angle of 17° with the horizontal line. Determine the approximate length of cable that would be needed to reach
from the top of the pole to a point 56 feet downhill from the base of the pole. Round answer to two decimal places.
A. 72.17 feet
D. 68.24 feet
B. 76.77 feet
E. 55.79 feet
C. 63.98 feet
Help ASAP It’s a test
Answer:
The 72 feet is measured on the slope, not out from the pole horizontally. I get
top of pole is at
40 + 72 sin17°
downhill point is
72 cos 17°
from point beneath the pole
cable^2 = (40+72 sin17°)^2 + (72 cos 17°)^2
The correct answer is option b) 76.77
The length of cable that would be needed to reach from the top of the pole to the base of the poleThe 56 feet is measured on the slope, not out from the pole horizontally.
The top of the pole is at
32 + 56 sin17°
Downhill point is
56 cos17°
From a point beneath the pole
⇒ cable^2 = (32 + 56 sin17°)^2 + (56 cos17°)^2
⇒ cable^2 = 96.74 + 53.553
⇒ cable^2 = 150.29
Dividing both sides by 2
⇒ cable = 75.15 (76 approx)
Learn more about height and distance here: brainly.com/question/19528807
#SPJ2
Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the next degree, the smallest angle of the triangle. (A)35° (B)36° (C)37° (D)38° (E)53°
[tex]\boxed{Given:}[/tex]
Length of the perpendicular ( opposite ) = 6 cm.
Length of the base ( adjacent ) = 8 cm.
[tex]\boxed{To\:find:}[/tex]
The smallest angle of the triangle.
[tex]\boxed{Solution:}[/tex]
[tex]\sf\purple{C.\:37°}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.
Since the value of opposite and adjacent sides are given, we use the tangent formula.
tan θ = [tex]\frac{opposite}{adjacent}[/tex]
✒ tan θ = [tex]\frac{6 \: cm}{8 \: cm}[/tex]
✒ θ = [tex]{tan}^{ - 1}[/tex] (0.75)
✒ θ = 36.9°
✒ θ = 37°
Now let us find the other unknown angle 'x'.
We know that,
Sum of angles of a triangle = 180°
✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)
✒ x + 127° = 180°
✒ x = 180° - 127°
✒ x = 53°
Therefore, the three angles of the triangle are 37°, 53° and 90°.
Hence, the smallest angle is 37°.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.
The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?
$2.493
$2.505
$2.509
$2.498
Answer:
$2.498
Step-by-step explanation:
2 + (-17) i need the correct answer and show your work
Answer:
-15
Step-by-step explanation:
2 + (-17) = (-15)
If two integers have different sign, subtract and the result will have the bigger number sign.
17 - 2 = 15 and the bigger number is 17 & sign of 17 is negative. So answer is (-15)
2 + (-17) = (-15)
If two integers have different sign, subtract and the result will have the bigger number sign.
17 - 2 = 15 and the bigger number is 17 & sign of 17 is negative. So answer is (-15)
[tex] \tt{ \verified} \: \: \: \: \red{ \checkmark}[/tex]
ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]
Answer:
y = 2
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = ([tex]\sqrt{2}[/tex] )² = 2
What is the square feet
A.60 square feet
B.54 square feet
C.42 square feet
D.104 square feet
what is 1/20 in mixed fraction easy points will give brainliest too if two people ansswers
Answer:
it cant cause its simplified as much as it can be
Step-by-step explanation:
iknow
the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get
Get–Around Cab Company charges $2.50 upon entry and $2 per mile. Write the function that represents the cost C of a ride of m miles. C(m) = m +
Answer:
C(m) = 2.50 + 2m
Step-by-step explanation:
The fixed charge = charge per entry = $2.50
Charge per mile = $2
Function which represents the cost of a ride of m miles ;
Cost for m miles, C(m)
C(m) = charge per entry + cost per mile * number of miles
Where, number of miles = m
C(m) = 2.50 + 2m
Answer:
C(m) =2 m + 2.5
Step-by-step explanation:
I DID IN ED
What is the value of 9/10 divided by 1/5?
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]
[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]
[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]
[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]
[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{45}{10}}[/tex]
BOTH NUMBERS HAVE the GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]
[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]
[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{9}{2}}[/tex]
CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original lie segment?
Answer:
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Step-by-step explanation:
Here are the steps I think you probably will go through.
1. Draw a line that is longer than the segment but shorter than the width of the page.
1a. Make sure this line is at least 1/2 inch from the left hand side.
2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.
3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.
The key step either two or three.The steps to copy a line segment are given below:
1. Lets start with a line segment AB that we have to copy.
2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so as the compass width is equal to length of AB.
5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Mr. Cox filled up his car with gas yesterday. He paid $24 for 6 gallons of gas.
How much would 10 gallons of gas cost?
Answer:
40 gallons of gas
Step-by-step explanation:
Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°.
Answer:
you first find the radius which is given by r=√(5^2)+(-5^2)=5√2,and then you find the angle which is given by tan^-1(y÷x),that is tan^-1(-5÷5)=-45°.This angle lies between (5,-5)
so 360-45=315°.
The ordered pair will be (5√2,315°)
To obtain the second ordered pair 315°-180°=135°
(5√2,135°)
the two pairs of polar coordinates are (5√2,135°,
5√2,315°)
find the centre and radius for this circle , x^2+y^2=25
Answer:
centre = (0, 0 ), radius = 5
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 25 ← is in this form
with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5
2x + 3y = 23
-1(2x + y = 13
Answer:
2x +3y= 5xy
-1(2x+y= 2xy+-1 = -3xy
Answer:
y= 9
x = -2
Step-by-step explanation:
Y= 9, X = -2 I use the simultaneous equation to solve it.