Answer:
3.71 yd
Step-by-step explanation:
Heron's formula:
area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))
so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c
a = 6
b = 10
c = 14
a+b+c = 30
-a+b+c = 18
a-b+c = 10
a+b-c = 2
x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =
= sqrt(10800)/28 = sqrt(400×9×3)/28 =
= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =
= 3.711537 yd
find the measure of the indicated angle to the nearest degree
Answer:
missing angle= 44°
Step-by-step explanation
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan=opposite/adjacent
x is opposite of 19 and 41 is the biggest side so that is the hypotenuse. with that being said you will put in your calculator sin(19/41) and make sure that it is in radian mode. This gives you the answer of 44°
Find the total surface area.
Answer Options:
A. 422 in²
B. 517 in²
C. 554 in²
D. 638 in²
Answer:
D. 638 in^2
Step-by-step explanation:
total surface area is just the sum of areas of each side of the cube
opposite sides have the same area
top and bottom = 9*11
sides = 11*9
front and back = 11*11
SA = 2(9*11 + 11*9 + 11*11)
SA = 2(99 + 99 + 121)
SA = 2(319)
SA = 638 in^2
23. Insert the missing number.
4
6
9
14
23
40
?
138
266
Answer:
hey mate !!!
The pattern followed is
4x2-2= 8-2=6
6 x 2-3= 9
9 x 2- 4= 14
14 x 2-5 = 23
23 x 2-6= 40
40 x 2-7= 73
So, the next number will be 73.
Solve for 2. Round to the nearest tenth, if necessary.
51
66
H
Answer: 2
Submit Answer
attempt 1 out of 2
PLS HELP
Answer:
x = 53.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 51 = 66/x
x tan 51 = 66
x = 66/ tan 51
x=53.44574
Rounding to the nearest tenth
x = 53.4
Find the missing side lengths
Answer:
[tex] \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x[/tex]
[tex] {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19[/tex]
Which monomials are perfect squares? Select three options.
a
25x12
b
16x9
c
6x2
d
36x16
e
9x8
Answer:
a, d and e.
Step-by-step explanation:
A perfect square is one where the coefficient is a perfect square and the exponent is even.
So they are 25x^12, 36x^16 and 9x^8.
SOMEONE PLEASE HELP ME!!!
Answer:
31.8
Step-by-step explanation:
side AD : side EH
13 : 46
side BC : side FG
9 : x
these ratios work because these are similar quadrilaterals and their sides correlates when the figures are rotated to match the other figure's position.
13/46 = 9/x
x = 31.846
x = approx. 31.8
Answer:
FG = 31.8
Step-by-step explanation:
[tex]\frac{13}{46} = \frac{9}{x}[/tex]
13x = 46 * 9
13x = 414
x = 31.8
How in the world do I set this up?
The formula
c = 75 + 30(n - 5) is used to find the cost, c, of a taxi ride where n represents the number of [tex]\frac{1}{5}[/tex] miles of the ride. Find the cost of a taxi ride of 2/frac{2}{5}
Thanks
Answer:
Step-by-step explanation:
The 2 2/5 is not showing up correctly, but I think it means that you are going 2 miles + 2/5 of a mile. If that is not true, leave me a note and I'll correct it.
So 75 and 30(n - 5) represent cents (I think) per 1/5 of a mile.
1 mile has 5 fifths.
2 miles has 10 fifths
2/5 has 2 fifths.
the total is 17 fifths so n = 17
C = 75 + 30(17 - 5)
C = 75 + 30(12)
C = 75 + 360
C = 435
That means you pay 4 dollars and 35 cents.
U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?
Answer:
1.5 cm
Step-by-step explanation:
Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3
so UV = 3/2 = 1.5 cm
Miguel withdrew $20 per week from his bank account for 4 weeks. Which expression shows the charge in his account balance?
a. -20 + 4
b. -20 - 4
c. -20 • 4
d. -20 / 4
(I think it’s C)
Please help me, this is due for tomorrow!
Answer:
C
Step-by-step explanation:
You are correct
*Per something means multiplication*
20 per 4 weeks = 20 × 4
Rearrange each of the following in slope/y-intercept form, y = mx + b.
a. 3x - 6y + 8 = 0 b. -2x - 5y - 2 = 0
Answer:
a.
[tex]{ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}[/tex]
b.
[tex]{ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}[/tex]
Hi, just need help with this graph problem.
Answer:
Domain: (-2, 2]
Range: (-5, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion and (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, we see that our x values span from -2 to 2. Since -2 is an open dot and 2 is a closed dot, they are exclusive and inclusive, respectively:
(-2, 2] or -2 < x ≤ 2
According to the graph, we see that our y values span from -5 to 4. Since -5 is an open dot and 4 is a closed dot, they are exclusive and inclusive, respectively:
(-5, 4] or -5 < y ≤ 4
shop sells shirts. In
January they reduce the
price of all their £50 shirts
by 50%. In February they
decide to increase the price
of all their shirts by 50%. In
March they decide to
reduce the price of their
shirts by 50% again. What is
the cost of a shirt in March?
By how much is 9966004321 larger than 1 billion
9966004321 is larger than 1 billion by 9,866,004,321.
What is comparison of two numbers?Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.
What is "how much larger" in math?In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.
According to the given question
We have number 9966004321
1 billion = 1,000,000,000
So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.
Therefore,
9966004321 - 1,000,000,000 = 9,866,004,321
Hence, 9966004321 is larger than 1 billion by 9,866,004,321.
Learn more about comparison of two numbers here:
https://brainly.com/question/17329628
#SPJ2
HELP PLEAAASEEEEE
Can someone find the domain and range of this function PLEASE
y = 2/x + 3
Answer:
The domain is the whole R-{0} and the range is R
1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
Find the measure of the missing arc KN labeled on the graph. Show ll your work that leads the final answer. *
Answer:
Arc KN = 201°
Step-by-step explanation:
Recall: According to the tangent-secant exterior angle theorem, the measure of the vertex angle formed at an external point where a tangent and a secant meet outside a circle is ½ of the difference between the intercepted major and minor arcs.
Applying this to the problem given, we have:
m<L = ½(Arc KN - Arc KM)
m<L = 70° (given)
Arc KN = ?
Arc KM = 61°
Substitute
70° = ½(Arc KN - 61°)
2*70° = Arc KN - 61°
140° = Arc KN - 61°
140° + 61° = Arc KN
201° = Arc KN
Arc KN = 201°
The volume of a rectangular prism with a cone shaped hole in it is approximately 163.22cm³ (as shown below).
✏️ What is the height of the cone?
Answer:
Height of the cone = 5 cm
Step-by-step explanation:
Volume of the rectangular prism with a cone shaped hole = Volume of the rectangular prism - Volume of the cone
Volume of the rectangular prism = Length × Width × Height
= 5 × 5 × 7
= 175 cm³
Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here, r = Radius of the cone
h = Height of the cone
Volume of the cone = [tex]\frac{1}{3}\pi (\frac{3}{2})^{2}(h)[/tex]
= 0.75πh cm³
Volume of the rectangular prism with a hole = 163.22 cm³
175 - 0.75πh = 163.22
0.75πh = 175 - 163.22
0.75πh = 11.78
h = 5 cm
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?
Answer: The expression is 7/2.
What is the range of the function on the graph?
Answer:
The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.
Step-by-step explanation;
The range of a function is the set of y-coordinates of all the points int he graph of the function.
Look at the graph. The vertex is point (2, -3).
The graph does not go lower than that point.
The lowest y-coordinate is -3.
The graph goes up forever on both sides until infinity.
The range is all numbers greater than or equal to -3.
what is the external angle of a polygon where the corresponding interior angle equals 105 degrees
Answer:
75 degrees maybe.......
Answer:
75 degrees
Step-by-step explanation:
the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.
and because it is measured against a line, where we have a total of 180 degrees for angles, we have
exterior angle = 180 - interval angle = 180-105 = 75
What is the function rule that represents the sentence y is 7 less than the product of 6 and x?
Answer:
y = 6x-7
Step-by-step explanation:
product of 6 and x
6x
7 less than the product of 6 and x
6x-7
y = 6x-7
What is the solution set of 7x 2 + 3x = 0?
{0, 3/7}
{0, -3/7}
{0, -4/7}
Answer:
the answer is b when we have two positives it makes a negitive therefore its b
Step-by-step explanation:
a bag contains 10 playing cards . 7 of which are Black and 3 Red . Two cards are drawn one after the other from the bag without replacement. A. Find the probability that a Red and a Black cards were drawn.
Number of red balls =3
Number of black balls =7
Total number of balls =10
Let ,P(A)= Probability that first is red
P(B)= Probability that second is red
If second is red, there are 2 possible ways
Either first is red and second is red.
Or first is black and second is red.
So,
P(B)=
10
3
C
1
×
9
2
C
1
+
10
7
C
1
×
9
3
C
1
=
90
6
+
90
21
=
90
27
=
10
3
Probability that first is red, given second is red
P(A/B)=
P(B)
P(A∩B)
=
10
3
10
3
C
1
×
9
2
C
1
=
10
3
90
6
=
90
6
×
3
10
=
27
6
=
9
2
What are the solutions of x2 - 2x +5 = 0
Answer:
x = -3 or x = -5
Step-by-step explanation:
x (x -2 ) = -5
x = -5 or x = -5+2
x = -3
find the missing side. Round it the nearest tenth.
Answer: x= 11√3= 19.0525 = 19.1
Step-by-step explanation:
Let the reference angle be 30
so
cos 30 = b/h
√3/2 = x/22
or, 22√3 = 2x
or. x = (22√3)/2
so, x = 11√3
Answer:
x = 19.1 cm
Step-by-step explanation:
→ Find the name of the side you are not given
Opposite
→ Find a formula without opposite in it
Cos = Adjacent ÷ Hypotenuse
→ Rearrange to make adjacent the subject
Adjacent = Cos × Hypotenuse
→ Substitute in the values
Adjacent = Cos ( 30 ) × 22
→ Simplify
Adjacent = 19.1
Have fun all !!! This is my trash account. You all can have my points.
Answer:
Step-by-step explanation:
OK
Answer:
rshjgdlf
FGshjfgsfds
Step-by-step explanation:
GIMME'
(a) If the length of a pond having the perimeter 274 m is 68.5 m, prove that the pond is square shaped
Answer:
68,5*4=274 nên cái ao đó là hình vuông
Step-by-step explanat
4*a là chu vi hình vuông
I need help , slope calculator
Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2
who can help me PLEASE
Instruction find the measure of the missing angles in the kite
Both the angles will be 105°
Just add up the given angles, subtract the result by 360, and divide by 2.
