Answer:
Option (2)
Step-by-step explanation:
From the given set of numbers we have to arrange them in the increasing order.
{[tex]\sqrt{72},9.25,\sqrt{83},\pi^2,8.7[/tex]}
Since, [tex]\sqrt{72}=8.49[/tex]
[tex]\sqrt{83}=9.11[/tex]
[tex]\pi ^2[/tex] = 9.87
Therefore, set of numbers will be in the form of,
{8.49, 9.25, 9.11, 9.87, 8.7}
Now arranging these numbers in the increasing order,
8.49 < 8.7 < 9.11 < 9.25 < 9.87
Therefore, numbers in the increasing order will be,
{[tex]\sqrt{72},8.7,\sqrt{83},9.25,\pi ^{2}[/tex]}
Option (2) will be the answer.
In Exercises 15-18, find the measure of the exterior
angle. (See Example 3.)
15.
75°
64°
2
Applying the exterior angles theorem, the measure of the exterior angle is: m∠2 = 139°.
What is the Exterior Angles Theorem?The exterior angles theorem states that the measure of the two remote angles in a triangle is equal to the measure of the exterior angle of a triangle.
Thus:
75° and 64° are remote interior angles.
Therefore:
m∠2 = 75° + 64°
m∠2 = 139°
Learn more about exterior angles theorem on:
https://brainly.com/question/8190762
Slove for x to the nearest tenth
Step-by-step explanation:
Let me start off by saying that 1 unit side is absolutely useless.
You can translate the 6 unit side downwards, so now we have a right isosceles triangle of 2 equal sides which are 6
The hypotenuse is given here by x.
Applying the Pythagorean theorem i can then say;
[tex]x {}^{2} = 6 {}^{2} + 6 {}^{2} [/tex]
[tex]x {}^{2} = 36 + 36[/tex]
[tex]x {}^{2} = 72[/tex]
[tex]x = \sqrt{72} = 6 \sqrt{2} = 8.485[/tex]
x=8.5
rounded to the nearest 10 :)
Thanks for the help <3
The full form of HA is Hypotenuse-angle and it states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Answer ⤵️Hypotenuse of both triangles are equal.The acute angles formed on them are also equal since the sides are equal.Hence, Proved.
Answer:
HA
Step-by-step explanation:
Usually HA congruence is used in right angle triangles .as One common 90° right angle is present if Hypotenuse and adjacent angle remains similar the triangles are similar.
Combine these radicals.
Answer:
[tex]14\sqrt{5}[/tex]
Step-by-step explanation:
[tex]8\sqrt{5}+2\sqrt{45}[/tex]
[tex]=8\sqrt{5}+2\sqrt{9\cdot5}[/tex]
Use radical rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]=8\sqrt{5}+2\sqrt{9}\sqrt{5}[/tex]
[tex]=8\sqrt{5}+2\cdot3\sqrt{5}[/tex]
[tex]=8\sqrt{5}+6\sqrt{5}[/tex]
[tex]=(8+6)\sqrt{5}[/tex]
[tex]=14\sqrt{5}[/tex]
Combine these radicals
8√5 + 2√45
O 4√5
O 10√5
O 14√5 ✓
8√5 + 2√45⇢2√5(4 + √9)⇢2√5(4+3)⇢2√5 x 7⇢14√5O 74√5
Find the coordinates of the midpoint of segment GH with endpoints: G(-2, -8) and H(-3, -12).
Step-by-step explanation:
from midpoint formula p(x,y)= -2 +(-3)÷2 ,-8+(-12)÷2
=-5÷2 , -20÷2
= -2.5 , -10
Find the value of x. Then classify the triangle by its angels
Answer:
x=134
Step-by-step explanation:
As angles in a triangle add up to 180 degrees
also angles on a straight line add up to 180
so 180-(64+70)=46
and 180-46=134
PLEASE GIVE BRAINLIEST AND THANKS
Can someone help me please, thanks.
Answer: 2.19 pounds
Step-by-step explanation:
35 / 16 is 2.1875, if you round that you get 2.19
100 points. Please help. I'll give brainliest.
A: 95 people dislike both
B: 81
C: 21
Answer:
Thanks for the points!!
Step-by-step explanation: dawggggggg
Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-1, 8)}(−1,8)start color #6495ed, left parenthesis, minus, 1, comma, 8, right parenthesis, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b is at \green{(7, 3)}(7,3)start color #28ae7b, left parenthesis, 7, comma, 3, right parenthesis, end color #28ae7b. What is the midpoint of line segment \overline{AB} AB start overline, A, B, end overline?
Answer:
[tex]M = (3,5.5)[/tex]
Step-by-step explanation:
Given
[tex]A = (-1,8)[/tex]
[tex]B = (7,3)[/tex]
Required
Determine the midpoint
This is calculated as thus
[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where:
[tex](x_1,y_1) = (-1,8)[/tex]
[tex](x_2,y_2) = (7,3)[/tex]
So, we have:
[tex]M = (\frac{-1+7}{2},\frac{8+3}{2})[/tex]
[tex]M = (\frac{6}{2},\frac{11}{2})[/tex]
[tex]M = (3,5.5)[/tex]
Hence;
The midpoint is (3,5.5)
Answer:
(0,0.5)
Step-by-step explanation:
Trust me I got it right on Khan
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
a.25 mi
b. 60 mi
c. 150 mi
d. 300 mi
what's the answer?
3(9+6)+55
Answer:
=> 100
Step-by-step explanation:
=> 3(9+6)+55
=> 3(15)+55
=> 45 +55
=> 100
What is the complementary angles, one angle on is 2 degrees larger than the second angle?
Answer:
44 and 46
Step-by-step explanation:
A complementary angle is 90 degrees
90/2 = 45
If 45 + 45 = 90
44 + 2 = 46
44 + 46 = 90
:)
13) through: (0, -1) and (-5,-1)
A) x + 3y = 3
B) x - 3y = 1
C) 5r - 3y = -3
D) y=-1
Answer:
y=-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-1))/(-5-0)
m=(-1+1)/-5
m=0/-5
m=0
y-y1=m(x-x1)
y-(-1)=0(x-0)
y+1=0
y=0-1
y=-1
The scale of a map says that 8 cm represents 5 km. What distance on the map in centimeters representan 5 km
Answer:
8cm
Step-by-step explanation:
8cm = 5km
5km = 8cm
therefore 8cm represent 5km on the map
Is the relationship between the time spent swimming and the number of weeks proportional? Complete the statements
Answer:
lie on goes
Step-by-step explanation:
answer is Lie On For First And Goes For Second
A human hair has an average diameter of about 0.000017 meter. Write this measurement in scientific notation.
Answer: 1.7 x 10-5
Step-by-step explanation:
PLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
Step-by-step explanation:
" ... at most 5 " ⇒ 5 is max value
[tex]\frac{x}{3}[/tex] ≤ 5
Find the distance between nine and one fourths to seven and one half and four to five
Answer: home / math / distance calculator
Distance Calculator
The calculators below can be used to find the distance between two points on a 2D plane or 3D space. They can also be used to find the distance between two pairs of latitude and longitude, or two chosen points on a map.
2D Distance Calculator
Use this calculator to find the distance between two points on a 2D coordinate plane.
Result
Distance: 7.8102496759067
Steps:
Distance (d) = √
Step-by-step explanation:
hurry due today, help, please
Use the graph or table to write a linear function that relates y to x
An example for #5 is y=-8x+2, and an answer for 6. is y=6x+9. The formula is y=mx+b so the b is the y-int/y and the m is the slope/x. The x is the variable(the one beside the m).
James has 30 doughnuts. He eats 29. How many does he have left?
Answer:
1
Step-by-step explanation:
30
-29
-----
1
the answer is one
Answer:
the answer is 1
Step-by-step explanation:
39
-29
——
01
What is (f - g)(x)?
f(x) = -3x2
g(x) = -5x + 3
Write your answer as a polynomial or a rational function in simplest form.
Work Shown:
(f - g)(x) = ( f(x) ) - ( g(x) )
(f - g)(x) = ( -3x^2 ) - ( -5x+3 )
(f - g)(x) = ( -3x^2 ) - ( -5x) - ( 3 )
(f - g)(x) = -3x^2 + 5x - 3
What is the answer -10b-7=9?
i think it should be -1.6
if you add 7 to 9 it'll be 16.
if you divide -10 by 16 it'll give you -16/10.
simplify it and you should get -8/5 or -1.6.
What is the scale factor from Figure A to Figure B? PLEASE HELP
Answer:
Its 3 bro
Step-by-step explanation:
my guy A is just B scaled 3 times, every number on B times 3 equals their counterpart in A
my question goes if your good at rounding what is 98.488578018 rounded
Answer:
Im not sure what you want it to be rounded but heres the answers:
Whole number: 98
Tenths: 98.5
Hundredths: 98.49
Thousandths: 98.489
Step-by-step explanation:
Which of the following can be used to show that these triangles are congruent?
Please help!
A building is constructed on top of a cliff that is 300 meters high. A person standing on level ground below the cliff observes that the angle of elevation to the top of the building is 72° and the angle of elevation to the top of the cliff is 63°.
a. How far away is the person from the base of the cliff?
b. What is the building’s height?
The distance from the person to the base of the cliff is 269.78 meters.
The height of the building from the base of the cliff is 829.37 meters
The situation forms right angle triangle.
The building is constructed on top the cliff that is 300 meters high.
Right angle triangle:Right angle triangle has one of its sides as 90 degrees. Therefore, the sides can be found using trigonometric ratios.
The height of the building from the cliff is 300m. let's find the hypotenuse side of the angle of elevation formed to the cliff.
Using sin rule,
300 / sin (72 - 63) = y / sin (180 - 162)
300 / sin 9 = y / sin 18
300 sin 18 = y sin 9
y = 300 sin 18 / sin 9
y = 92.7050983125 / 0.156
y = 594.230769231
Therefore, how far the person to the base of the cliff can be calculated as follows;
cos 63 = adjacent / hypotenuse
cos 63 = x / 594.2307
x = 594.2307 cos 63
x = 269.775092454
x = 269.78 meters
Therefore, the distance from the person to the base of the cliff is 269.78 meters.
height of the cliff / 269.78 = tan 63
height of cliff = 269.78 tan 63
height of cliff = 529.37493165
height of cliff = 529.37
The height of the building = 300 + 529.37 = 829.37493165 = 829.37 meters
learn more on right triangle here: https://brainly.com/question/14806301
Please help me asappppp
Answer:
<5 ~= <1 - Corresponding Angles Theorem
<1 ~= <7 - Alternate Exterior Angles Theorem
<5 ~= <7 - Vertical Angles Theorem
line I || line m - Transitive Property
As a chef in a restaurant you have a recipe that uses 4 cups of flour to make 3 dozen cookies. You want to
make 12 dozen cookies, how many cups of flour do you
need?
Answer:
sorry its a little hard to answer your thing
Step-by-step explanation:
need ponits
H 125°
D 180
3. A triangle has two sides that have lengths of
14 feet and 22 feet. Which of the following
lengths could not represent the length of the
third side?
A 8 ft
B 12 ft
c) 14 ft
(D) 20 ft
Step-by-step explanation:
14 ft hope this hellped ask again
Two species of birds are being compared. Species A can fly 18.9 miles in 42 minutes, while species B can fly 20.3 miles in 58 minutes. Which species is slower, and at what speed can it fly?
A Species A is slower, and it can fly 0.35 miles per minute.
B Species A is slower, and it can fly 0.45 miles per minute.
C Species B is slower, and it can fly 0.35 miles per minute.
D Species B is slower, and it can fly 0.45 miles per minute.
100 POINTS
Answer:
Option C .
Step-by-step explanation:
Here it is given that there are two species of birds which fly at different rates.
Species A can fly 18.9 miles in 42min .Species B can fly 20.3miles in 59min .We can use the formula here ,
[tex]\longrightarrow \red{ Speed =\dfrac{Distance} {Time} }[/tex]
For Species A :-
Substitute the respective values in stated formula ,
[tex]\longrightarrow v_A = \dfrac{18.9\ miles}{42min}\\[/tex]
Simplify ,
[tex]\longrightarrow v_A = 0.45\ miles / min [/tex]
For species B :-
Substitute the respective values in stated formula,
[tex]\longrightarrow v_B =\dfrac{20.3\ miles}{58min}\\ [/tex]
[tex]\longrightarrow v_B = 0.35\ miles / min [/tex]
Therefore from above calculations we can say that ,
[tex]\underline{\underline{ v_A > v_B }}[/tex]
Species B is slower and it can fly 0.35miles/minute .