Answer:
x = [tex]7\sqrt{3}[/tex]
Step-by-step explanation:
By applying tangent rule in the given triangle,
tan(60°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\sqrt{3}=\frac{x}{7}[/tex]
x = [tex]7\sqrt{3}[/tex]
Therefore, answer will be,
x = [tex]7\sqrt{3}[/tex]
Sarah's family traveled 5 8 of the distance to her grandmother's house on Saturday. They traveled 1 3 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?
Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]
Step-by-step explanation:
Let x be the total distance to grandmother's house .
As per given,
Distance traveled on Saturday = [tex]\dfrac58x[/tex]
Remaining distance = [tex]x-\dfrac58 x[/tex]
[tex]=\dfrac38x[/tex]
Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance
= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]
= [tex]\dfrac18 x[/tex]
The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]
Find the midpoint of the line segment with the given endpoints. (-1,1) (5,-5)
(2;-2)
therefore the coordinates of the mi
Step-by-step explanation:
X=(X+X)/2
X=(-1+5)/2
X=2
y=(y+y)/2
y=(1-5)/2
y=-2
therefore the coordinates of the midpoint is (2;-2)
Find the area of the shaded figure. The area is square units (AREA OF COMPOSITE FIGURES)
Answer:
28 square units
Step-by-step explanation:
count the middle and edgr squares then u can just put the parts of the square together
At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing.
a. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place.
b. On which swing is the length of the arc first less than 1 foot?
c. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b.
Step-by-step explanation:
the answer is in the image above
Someone please help?? Solve for angle DCE
Answer:
58 degrees
Step-by-step explanation:
By looking at the diagram we can see that angle DCE is an outside angle
There is a special relationship between the outside angle and the arcs it intercepts
The theorem states that the outside angle is equal to half the difference of the intercepted arcs
In other words [tex]outside angle= \frac{arc AC - arc BD (the difference of the arcs)}{2}[/tex]
Knowing this formula we can solve for DCE
So it would be [tex]angle DCE= \frac{238-arcDE}{2}[/tex]
Well we do not know what arcDE is
Since we are given that the other arc is 238 we can take 238 and subtract is from 360
this will give us 122
so you have angle DCE= 238-122/2
238 minus 122 is 116
Angle DCE-=116/2
Angle DCE=58 degrees
There are other ways you can do this but this is just one of them
The length of a rectangle is 4 yd longer than its width.
If the perimeter of the rectangle is 56 yd, find its length and width.
Answer: The length of the rectangle is 16 yards and the width is 12 yards.
Step-by-step explanation:
The length is 4 yds longer than the width. Let's remove that from the perimeter so that the perimeter will be as if all sides had the same length (remember there are 2 sides for length and 2 sides for width).
[tex]56-4-4\\48[/tex]
Now we made it so that the extra 4 yards are gone and all sides are equal like a square. Now we can divide by 4 to determine the length of each of the now equal sides
[tex]\frac{48}{4} =12[/tex]
So all of the sides are 12, 12, 12, and 12. To two of the sides we can add back the extra 4 yards we took out giving us sides of 12, 12, 16, and 16.
Let's add it all together and see if it makes the perimeter of 56
[tex]12+12+16+16\\24+32\\56[/tex]
It does! Since the length is 4 yds longer than the width the length is 16 and width is 12.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
ali's age is half of his fathers age but 15 years ago his age was just 1/3 of his fathers age find his present age
Answer:
30 for the son 60 for the dad
Step-by-step explanation:
Take away 15 from the son and dad you get 45 and 15 which is 1/3 before t that was 15 years ago which makes it 30 for the son and 60 for the dad
Which number line represents the solutions to |x+4|=22
what is the answer to a+5a
Answer: 6a
Step-by-step explanation:
A + 5A just equals 6A. Let me know if I answered incorrectly or if you want me to clarify.
Using the formula for area of parallelograrn, find the area of the following parallelograr if
your base 5ft. and your height is 3ft
Answer:
15
Step-by-step explanation:
the formula for area of a parallelogram is base times height
If you put $25 each month into a savings account that paid a simple interest rate of 6.5% each year, how much would you have in your account at the end of two years?
Answer:
$339.00
Step-by-step explanation:
If you put $25 each month into a savings account that paid a simple interest rate of 6.5% each year, how much would you have in your account at the end of two years?
We solve the above question using the Equation:
A = P(1 + rt)
P = Principal = Amount deposited each month = $25
The amount deposited in a year = $25 × 12 months = 300
Calculation:
First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year.
Solving our equation:
A = 300(1 + (0.065 × 2)) = 339
A = $339.00
Therefore, you would have $339 in your account after 2 years
Points D and E are midpoints of the sides of triangle ABC. The perimeter or the triangle is 48 units. What is the value of t?
Answer:
2 units
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangle are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.
Since point D and E are midpoints of the sides of triangle ABC, hence:
AD = BD = 3t, BE = CE = 4t, AC = 7t + 6
The perimeter of triangle ABC = AC + BC + AB = AC + AD + BD + BE + CE;
Substituting:
48 = 7t + 6 + 3t + 3t + 4t + 4t = 21t + 6
48 = 21t + 6
21t = 42
t = 2 units
if x+3/3 = y+2/2 then x/3 =
Answer:
x+3/3=y+2/2
x/3 = y/2
Step-by-step explanation:
Please Big Help!!
Segments AB and CB are tangent to ⨀T. What is the perimeter of ABCT?
Answer:
perimeter is 46
Step-by-step explanation:
Sq(BT) = sq(AT) + Sq(AB)
Sq(17) = Sq(8) + Sq(AB)
So AB = 15
So perimeter of ABCT is 15 + 15 + 8 + 8 = 46
Segments AB and CB are tangent by the Pythagoras theorem, So the perimeter of ABCT is 46 units.
What is the perimeter?The perimeter of any given figure is the sum of the measure of boundaries of that figure.
Segments AB and CB are tangent.
By the Pythagoras theorem,
[tex](BT)^2 = (AT)^2 + (AB)^2\\(17) ^2= (8) ^2+ (AB)^2[/tex]
So AB = 15
So perimeter of ABCT
= 15 + 15 + 8 + 8
= 46
To learn more about the perimeter click here;
https://brainly.com/question/6465134
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Ken is working on a project for social studies. He has a piece of poster board that needs to be divided equally into 1/3 foot sections. The poster board is 4 feet wide. How many sections will ken have on the poster board?
Answer:
12
Step-by-step explanation:
4 / (1/3) = 12
Lines DE and AB intersect at point C.
What is the value of x?
Answer:
25 because I need to use mayh
Pls help with this, I do not know what to do
Answer:
The correct answer would be A
Step-by-step explanation:
Solve: 3m-2(m-3)=1
Please and thank you
Answer:
I think it's -2 but if im wrong im sorry goodluck :)
Step-by-step explanation:
10) The second angle in a triangle is 3° less than twice the first angle. The third angle measure 8° more than
twice the first angle Find each angle.
Answer:
35, 67 and 78
Step-by-step explanation:
the angles are:
n, 2n-3 and 2n+8
there are 180 degrees in a triangle, so adding those terms together will give us 180
5n + 5 = 180
180 - 5 = 175
5n = 175
175 / 5 = 35
n = 35
now we have n we can put it in to the formula we have for the angles at the start:
n = 35
2n - 3 = 67
2n + 8 = 78
so the angles are
35, 67 and 78
Find the missing factor.
3y - 2y - 5 = (3y - 5)( ? )
Answer:
( y + 1 )
Step-by-step explanation:
3y² - 2y - 5
(3y - 5) (y + 1)
What is the sum of (2n – 5m) and (n + m)?
Answer:
3n - 4m
Step-by-step explanation:
(2n-5m)+(n+m)
so we get this equation and from here, we expand the equation by removing the brackets, you should get:
2n-5m+n+m and just solve from here.
to make it easier, put the like terms together:
2n+n+m-5m
= 3n-4m
Answer:
3n - 4m
Step-by-step explanation:
(2n – 5m) and (n + m) in this case have the same value if the parentheses are removed. We end up with:
2n – 5m
n + m
-------------- Grouping like terms vertically, as shown here, may make this
addition a bit easier.
2n – 5m
n + m
--------------
3n - 4m (final answer)
ILL BRAINLIEST YOU IF YOU HELP ME PLEASE
option C is correct because a line bisecting parallel lines makes the same angle on each line at the point of intersection
so they all will make 61°
Weather data is collected to analyze wind speed according to temperature. Identify the variables as either input or output to label the table and graph.
Answer: column A= temperature column B= wind speed. Label A= wind speed label B= Temperature
Step-by-step explanation:
Answer:
Column A =
✔ temperature
Column B =
✔ wind speed
Label A =
✔ wind speed
Label B =
✔ temperature
Step-by-step explanation: Just did it in the assignment of edge :)
Which ordered pairs could be points on a line parallel to the line that contains (3,4) and (-2,2)?
NEED ANSWER! The cost of renting a car is $26.50 plus $10 pe rday. sales tax is 6% select the two expression that represent the cost of renting a car for d days.
A.28.09d
B.26.50+6d
C.26.50+1.06d
D. 28.09+10.6d
E.1.06(26.50+10d)
Answer:
E.1.06(26.50+10d)
Step-by-step explanation:
d+e
i think i its d im not sure to
find the surface area of the prism
Answer:
SA=96
Step-by-step explanation:
formula for triangular prism=bh+l(s1+s2+s3)
3*4/2*2=12
4*7=28
3*7=21
5*7=35
12+28=40+21=61+35=96
Math help please show all work thanks !
Answer:
500 1/8" (500.125 inches)
Describe the general properties of rotations.
A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.
A rotation preserves lengths of segments.
A rotation preserves measures of angles. Step-by-step explanation:
You Welcome :)!
The agricultural practice of irrigation leaves behind which pollutant in the
soil?
O A. Salt
B. Acidic compounds
C. Nitrogen compounds
D. Pesticides
The answer is Salt !!