Answer:
80 degrees
Step-by-step explanation:
one half of the circle makes a straight line and that will equal 180 degrees so 60+45=105
180-105=80
so the missing angle is x=80
Answer:
x = 75 degrees
Step-by-step explanation:
60 + 60 = 120
45 + 45 = 90
120 + 90 = 210
360 - 210 = 150
150 / 2 =75 degrees
Find the measure of the are or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
(I need help solving because I don’t understand please go step by step for this equation#1)
9514 1404 393
Answer:
?° = 153°
Step-by-step explanation:
The measure of an arc is the same as the measure of the central angle it subtends. The arc is marked 153°. The central angle (?°) has that same measure.
?° = 153°
write the equation -1/2x - 2y = -4 in slope intercept form
Answer:
y= -1/4x+2
Step-by-step explanation:
y=mx+b is the slope intercept form.
We first must isolate y by adding 1/2x on both sides.
-2y=-4+1/2x
next we multiple by -1/2 to get rid of the -2
y=2-1/4x
y=-1/4x+2
The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.
How many such kinds of triangles is it possible? Find the probability of randomly chosen triangle is isosceles but not equilateral.
Answer:
3 triangles
Step-by-step explanation:
Perimeter of triangle = a + b + c
Given that :
P = 12
and a, b, c are natural numbers
Let :
Side A = a
Side B = b
Side C = 12 - (a + b)
Side A + side B > side C - - - (condition 1)
a + b > 12 - (a + b)
a + b > 12 - a - b
a + a + b + b > 12
2a + 2b > 12
2(a + b) > 12
a + b > 6
Side A - side B < side C
a - b < 12 - (a + b)
a - b + a + b < 12
2a < 12
a < 6
b < 6 (arbitrary point)
Going by the Constraint above :
The only three possibilities are :
(2, 5, 5)
(3, 4, 5)
(4, 4, 4)
Total number of triangle = 3
Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1
Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1
.) From the time a small airplane is 240 feet high and 5,200 ground feet from its landing runway, the plane descends in a straight line to the runway. Determine the planes angle of descent. Draw a diagram that describes the scenario.
Answer:
87.357
Step-by-step explanation:
use TOA to solve for the missing angle
let x= angle
tan(x)=5200/240
x=87.357
What type of triangle is shown here 17 cm 10cm 17 cm. The triangle looks like this: <|
Answer:
Isosceles Triangle
Step-by-step explanation:
Two of the sides are the same, meaning by definition it is an isosceles triangle.
Answer:
isocelless traingle
Step-by-step explanation:
hope it helps
i dont understand
help please!!!
Solve the following quadratic by
completing the square.
y = x2 + 10x + 10
*not drawn to scale
From her house, Jill rode her bike 5 km east, then 6 km south, and then 3 km east.
Measured using a single straight line, how far is Jill from her house?
A. 5 km
B. 8 km
C. 10 km
D. 14 km
Answer:
14
Step-by-step explanation:
Help fast pls help pls pls pls pls pls pls pls no links no files or i will report u pls help me
i don't have much time
the quetion is bellow
The time it takes to travel a fixed distance varies inversely with the speed
traveled. If it takes Pam 40 minutes to bike to her fishing spot at 9 miles per
hour, how long will it take her if she rides at 12 miles per hour?
O
30 mins
0 53 mins
22.5 mins
O 2.7 hours
Answer:
53 mins
Step-by-step explanation:
does any one nows how to solve this
[tex]\frac{3}{4}x-1\frac{5}{8}-2\frac{3}{4}[/tex]
Tyrone earns $8.50 an hour. How much money will he earn if he works for 5.40 hours?
Answer:
$45.90
Step-by-step explanation:
Multiply without the decimal points, then put the decimal point in the answer: 85 x 54 = 4590
8.5 has 1 decimal place
5.4 has 1 decimal place
Therefore, the answer has 2 decimal places
= 45.90
Refine: 45.9
The answer is 45.9
What should you do first in solving the quadratic equation?
x² + 18x + 81 = 25
Answer:
x= -4,-14
Step-by-step explanation:
Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.
Consider a circle centered at C(0,0). If the point P(3,5) lies on the circle, then which of the following points also lies on the circle?
A. (-2,6)
B. (6,-[tex]\sqrt{5}[/tex])
C. (1,[tex]\sqrt{33}[/tex])
D. (-2[tex]\sqrt{2}[/tex],4)
Answer:
C
Step-by-step explanation:
First find the equation of the circle
the general formula for a circle (x-h)² + (y-k)² = r² where (h=0, k=0) are the coordinates of the center and r is the radius that we do not know
the distance between the center (0, 0) and the point (3,5) is the radius
distance formula d² = (x2-x1)² +(y2-y1)² where (x1=0,y1=0) and (x2=3, y2=5)
d² = (3-0)² + (5-0)² = 3² +5² = 9+ 25 = 34 =r²
(x-0)² + (y-0)² = 34 ; x²+y² =34 is the equation of the circle
Second check if any of the points are on the circle by substituting x and y with de given coordinates.
A. for (-2, 6) we have (-2)²+6² =34 so 4+36 =34 false
B. for (6, -√5) we have 6²+(-√5)² =34 so 36+5=34 false
C. for (1, √33) we have 1²+(√33)² =34 so 1+33 =34 true
D. for (-2√2, 4) we have (-2√2)²+4² =34 so 8+16=34 false
Find the length of the third side. If necessary, write in simplest radical form.
10
5
Answer:
x= [tex]5\sqrt{5}[/tex]
Step-by-step explanation:
To solve this problem we first observe the Pythagoras equation. If a= 10 and b =5 are the lengths of the legs of a right triangle and c= x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
This relationship is represented by the formula:
[tex]a^{2} + b^{2} = c^{2}[/tex] =>[tex]10^2 +5 ^2 = x^2[/tex]
=> 100 + 25 = [tex]x^2[/tex]
=> [tex]\sqrt{125}[/tex] = x => [tex]\sqrt{25} \sqrt{5}[/tex] = x
=> x= 5[tex]\sqrt{5}[/tex]
ANSWER NOW PLEASE AND PLEASE GIVE ME THE RIGHT ANSWER 35 points
Find the difference. Express the answer in scientific notation.
Va
(8.64 x 1020)- (7 83x 1020)
O 8.1x 10
O 0.81 x 1020
O 8.1 x 1021
O 0.81x1040
Both values have the same exponent ( they are both 10^20) so first subtract the numbers:
8.64 - 7.83 = 0.81
You would now have 0.81 x 10 ^20
But to be in scientific notation you need a number to the left of the decimal.
0.81 would become 8.1 and because you move the decimal 1 place to the left, you would subtract 1 from the original exponent so 10 ^20 would become 10 ^19
The answer is 8.1 x 10 ^ 19
Answer:
B = 0.81 x 10^ 20
Step-by-step explanation:
=(8.64 x 10^ 20)- (7 83x 10^20)
=8.1 x 10^19
which is also written as
= 0.81x 10^20
Please help
11.5 gal
= qt
Answer:
46
Step-by-step explanation:
1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2
44+2=46
How many different 5-digit numbers can you write using each of the digits 0, 1, 2, 3, 4 exactly once?
Answer:
96
Step-by-step explanation:
To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.
Step 1:
1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.
Step 2:
2nd digit = 4 choices.
Step 3:
3rd digit = 3 choices
Step 4:
4th digit = 2 choices
Step 5:
5th digit = 1 choice .
So the number of different 5 digit number is 4*4*3*2*1 = 96
Solve for x and y
6(ax + by) = 3a + 2b ; 6(bx-ay) = 3b - 2a
6×ax+6×by =6ax+6by =3a+2b,6×bx-6×ay=3b-2a=6bx-3a+2b
Ashley and Kris are saving money for a vacation. Ashley currently has
$2,500 and is working hard to save $50 per month. Kris only has $1,000 in
savings but is saving $200 per month. In how many months will they have
the same amount in savings?
Answer:
Step-by-step explanation:
1) y = 50x + 2500
2) y = 200x + 1000
if we build a system with the two equations, we have:
50x+2500 = 200x + 1000
150x = 1500
x = 10
y = 2000 + 1000 = 3000
3) 10
4) $3000
hi please help me look below
Answer:
9.64797292×10^28
Step-by-step explanation:
1
What is the base area of the cone?
O 15 m2
O 25 m2
O 45 m2
5 ml
1
1
O 125 m2
3
V= 75 m
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ 75 = \frac{1}{3} \times 3.146 \times {r}^{2} \times 5 \\ {r }^{2} = \frac{75 \times 3}{3.146 \times 5} \\ r = \sqrt{14.3039} \\ r = 3.782 \: m \\ base \: area = \pi {r}^{2} \\ = 3.146 \times {(3.782)}^{2} \\ base \: area = 45 \: {m}^{2} [/tex]
Answer: The answer is C. 45 i have proof it is this for anyone who needs this,
Step-by-step explanation: hope this helps everyone!
The difference between two positive numbers is 7 and the difference between thes
cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
find the value of 'A-B'.
The difference between two positive numbers is 7 and the difference between these cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
To Find :-A - BSolution :-So,
Let the number be n and m
A = n × m = nm
B = n² + m² = (n + m)²
Now
n³ - m³ = 805
(n - m) (n² + m² + nm) = 805
Since difference is 7
7 × n² + m² + nm = 805
n² + m² + nm = 805/7
n² + m² + nm = 115
(n² + n) + (m² + m) = 115
A + B = 115
Now
On squaring the first eq.
(n - m)² = (7)²
(n - m)² = 49
B - 2A = 49
Now
A + B - B + 2A = 115 - 49
A + 2A = 66
3A = 66
A = 66/3
A = 22
By using 2
B - 2(22) = 49
B - 44 = 49
B = 49 + 44
B = 93
A - B = 22 - 93 = -71
[tex]\bold{ A-B=-71 }[/tex]
A triangle has
number of altitudes/heights.
Answer:
the answer is altitudes.
Step-by-step explanation:
i am not much sure of that.
Answer:
Triangle :
Step-by-step explanation:
The altitude of triangles,
Three altitudes :
Every triangle has three bases (any of its sides) and three altitudes (heights). Every altitude is the perpendicular segment from a vertex to its opposite side (or the extension of the opposite side).
The heights. of triangle,
The three heights of a triangle :
Triangles each have three heights, each related to a separate base. Regardless of having up to three different heights, one triangle will always have only one measure of area. In some triangles, like right triangles, isosceles and equilateral triangles,
factor m^4 + 9m^2 + 20 completely
Answer:
Step-by-step explanation:
m^2(m^2+9)+20
After completing the square, what are the solutions to the quadratic equation
below?
x2 - 7x+9 = 4
O A. X=-7 29
B. X=-
7
O C. x-}+x20
O D. x = 729
Answer:
[tex]\bold{x_1=\dfrac{7+\sqrt{29}}2\ ,\qquad x_2=\dfrac{7-\sqrt{29}}2}[/tex]Step-by-step explanation:
[tex]x^2 - 7x+9 = 4\\\\\underline{x^2 - 2\cdot x\cdot\frac72+\big(\frac72\big)^2}-\big(\frac72\big)^2+9 = 4\\\\\big(x-\frac72\big)^2-\frac{49}4+9 = 4\\\\ \big(x-\frac72\big)^2=\frac{49}4-\frac{36}4+\frac{16} 4\\\\ \big(x-\frac72\big)^2=\frac{29}4\\\\ x-\frac72=\pm\sqrt{\frac{29}4}\\\\ x=\frac72\pm\frac{\sqrt{29}}2[/tex]
The additive identity of rational numbers is: *
I. 0
II. 1
III. 2
IV. -1
Answer:
i) 0 is the additive identity of rational number
classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle:
9,15,19 NOT A RIGHT TRIANGLE THANKS FOR THE HELP! NO SPAMS OR LINKS PLEASE
Answer:
It is not a right triangles because 15^2 + 13^2 is NOT EQUAL to 19^2
let x, y, and z be the angles inside the triangle.
Law of cosines says:
19^2 = 13^2 + 15^2 - 2(13)(15)cos x
361 = 169 + 225 - 390 cos x
-33 = -390 cos x
-33/-390 = cos x
11/130 = cos x
x = inverse cosine (11/130)
= 85.14609471338569.....
Per law of sines:
sin x/19 = sin y / 13
(13/19)sinx = sin y
inverse_sine ( (13/19) sin x) = y
y = 42.9810733896016548....
Per law of sines
sin x/19 = sin z / 15
z = inverse_sine( (15/19) sin x)
= 51.8728352950227805....
So it is an acute triangle and yes, these angles add up to 180
Answer:
acute
Step-by-step explanation:
Trigonometric ratios, Side length. 15 points AND brainliest.
Answer:
Side GI= 2
Step-by-step explanation:
Photo attached, used SOH CAH TOA method.