Answer:
m(∠C) = 18°
Step-by-step explanation:
From the picture attached,
m(arc BD) = 20°
m(arc DE) = 104°
Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.
m(∠C) = [tex]\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}][/tex]
Since, AB is a diameter,
m(arc BD) + m(arc DE) + m(arc EA) = 180°
20° + 104° + m(arc EA) = 180°
124° + m(arc EA) = 180°
m(arc EA) = 56°
Therefore, m(∠C) = [tex]\frac{1}{2}(56^{\circ}-20^{\circ})[/tex]
m(∠C) = 18°
find the midpoint between this pair of points (-4,10) and (14,0)
Explanation:
The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.
We'll follow this same idea for the y coordinates as well.
10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.
Therefore, the midpoint is (5,5).
Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.
One way to test for one to one functions is to...
Group of answer choices :
restrict the function's domain.
put the equation into the quadratic formula.
perform a horizontal line test.
perform a vertical line test.
Answer:
Perform a horizontal line test
justificantion for x=8/15
as according to law if a number is multiplied at one side then it will be divide to other side
so
x=8/15Step-by-step explanation:
plz mark me asbrain liest
20
f(x)
g(x)
The tables given are for the linear functions f(x) and
g(x). What is the input value for which f(x) = g(x) is true?
x -2
-2
X=
3
4
-1
3
-1
3
0
3
0
2.
1
3
1
1
N
3
N
0
3
3
3
-1
Answer:
1 is the wrong answer i dont know the answer plz help him
What is the solution to 3x+24230?
0212
O206
275
HELP!
a triangle with 2 equal sides is called
Answer:
isosceles triangle.
Step-by-step explanation:
Answer:
Isosceles triangle
Step-by-step explanation:
In isosceles triangle, two sides are equal and the angles opposite to these equal angles are also equal. The third side of the triangle is called base
the base of a triangle prism has an area of 35m. this triangular prism has a height of 7m. what us the volume of this triangular prism
Answer:
ion even know
Which of the following best describes the pattern in the diagram as you move
from the top to the bottom row?
1
2
3
A. Row 7 will contain 10 circles.
ООО
B. Each row increases by 1 circle.
O C. Each row increases by 2 circles.
o
D. Row 9 will contain 12 circles.
Answer:
B
Step-by-step explanation:
Melissa asked 10 students how many courses they have taken so far at her college. Here is the list of answers.
10, 26, 8, 22, 16, 23, 20, 8, 13, 18
What is the percentage of these students who have taken fewer than 15 courses?
Answer:
Step-by-step explanation:
The question has asked who has taken fewer than 15 courses
There are 4 options that are fewer than 15: 10, 8, 8, 13
4/10 (10 is total number of options/students)
To find the percentage you...
Please help……………………….
Let’s start with the easy part: half of the base is 3.
Therefore, 3 x h + 1 = 18
3 x h = 3h and 3 x 1 = 3
3h + 3 = 18
To solve these equations, you have to do the inverse. First you would need to minus 3:
3h = 15
3h is a simpler way of saying 3 x h, so the inverse would be a divide.
h = 5
A triangle has an area of 10 square feet. The height is 10 feet. What is the length of the base (in feet)?
Answer:
2 feet
Step-by-step explanation:
for area of a triangle it's (height times width) divided by 2, and 10 times 2 divided by 2 is 10
Answer:
Length of base of triangle = 2 feet
Step-by-step explanation:
Given:
Area of triangle = 10 square feet
Height of triangle = 10 feet
FInd
Length of base of triangle
Computation:
⇒ Area of triangle = (1/2)(Base)(Height)
⇒ 10 = (1/2)(Base)(10)
⇒ 10 = Base(5)
⇒ Length of base of triangle = 10 / 5
Length of base of triangle = 2 feet
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth
Answer:
156.7 mi
Step-by-step explanation:
Applying
Pythagoras theorem
a² = b²+c²............... Equation 1
Where c = distance to the earth horizon from point P
From the diagram in the question,
Given: a = (3959+3.1) mi = 3962.1 mi, b = 3959 mi
Substitute these values into equation 1
3962.1² = 3959²+c²
solve for c
15698236.41 = 15673681+c²
c² = 15698236.41-15673681
c² = 24555.41
c = √ 24555.41
c = 156.7 mi
Help help I don’t really get this???
Answer:
Question 4: [tex]y=\displaystyle -\frac{4}{5}x[/tex]
Question 5: [tex]y=-5x-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).
Question 4
1) Determine the slope (m)
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that pass through the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:
[tex]\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}[/tex]
Therefore, the slope of the line is [tex]\displaystyle -\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex] as the slope (m):
[tex]y=\displaystyle -\frac{4}{5}x+b[/tex]
2) Determine the y-intercept (b)
On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into [tex]y=\displaystyle -\frac{4}{5}x+b[/tex]:
[tex]y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x[/tex]
Question 5
1) Determine the slope (m)
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:
[tex]\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5[/tex]
Therefore, the slope is -5. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
2) Determine the y-intercept (b)
On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into [tex]y=-5x+b[/tex]:
[tex]y=-5x+(-3)\\y=-5x-3[/tex]
I hope this helps!
Using your knowledge of common Pythagorean triples , find the hypotenuse in a triangle with shorter side lengths 25 units and 60
units.
The triple is a multiple of a common primitive Pythagorean triple. Which one?
A. (5,12,13)
B. (8,15,17)
C. (3,4,5)
D. (7,24,25)
Answer: A
Step-by-step explanation:
What is the surface area of the cylinder with height 4 km and radius 2 km? Round
your answer to the nearest thousandth.
Answer:
75.398
Step-by-step explanation:
Surface area,
2πr²+2πrh
= 2π×2²+2π×2×4
= 75.3982237..
= 75.398 (rounded to the nearest hundredth)
Find the circumference
please help :)
Answer:
Step-by-step explanation:
circumference = [tex]\pi[/tex]* diameter
circ = 3 * 32
circ = 96
Contagious diseases can spread quickly. Suppose 3 people are ill during the first week of an epidemic, and each
person who is ill spreads the disease to five people by the end of the next week. By the end of the 8th week of
the epidemic, how many people have become ill?
OA) 292,968 people
OB) 392,978 people
Answer:
392,978 people is correct
Step-by-step explanation: i am a college math teiacher i work at steve harvard
Simplify The Equation
Answer:
5
Step-by-step explanation:
5 ^ 1/3 * 25 ^ 1/3
Rewriting 25 and 5^2
5 ^ 1/3 * 5^2 ^ 1/3
We know that a^b^c = a^ (b*c)
5 ^ 1/3 * 5^ 2/3
We know a^b * a^c = a^(b+c)
5^ ( 1/3 + 2/3)
5^1
5
3x3x8x8x8x8 in EXPONENTIAL FORM!
x = multiplication sign, not variable!
Answer:
192^2
Step-by-step explanation:
[tex]\sqrt{3*3*8*8*8*8} = \sqrt {36864} = 192^2[/tex]
Hope you enjoy :)
David has 4 cages of hamsters. The second cage has 1/2 as many hamsters as the first. The third cage has 1/2 as many hamsters as the second. The fourth cage has 1/2 as many hamsters as the third. What are the fewest hamsters David can have?
Answer:
Lets reverse it
The 4th cage can have minimum 1 hamster
The 3rd cage can have minimum 2 hamster
The 2nd cage can have minimum 4 hamster
The 1st cage can have minimum 8 hamster
David has 15hamsters
Brainliest please
The fewest hamsters David can have are 15
What is Number system?A number system is defined as a system of writing to express numbers.
Given that David has 4 cages of hamsters.
The second cage has 1/2 as many hamsters as the first.
The third cage has 1/2 as many hamsters as the second.
The fourth cage has 1/2 as many hamsters as the third.
Let the first cage has n number of hamsters
the first cage has n/2 number of hamsters
the second cage has n/4 number of hamsters
the third cage has n/8 number of hamsters
the third cage has n/16 number of hamsters
4=n+n/2+n/4+n/8+n/16
n=15
Hence, the fewest hamsters David can have are 15
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ5
HELP
Line CD passes through points C(3, -5) and D(6,0). What is the equation of line CD in standard form?
60
O 5x + 3y = 18
O 5x - 3y = 30
O 5x - y = 30
O 5x + y = 18
Answer:
Hello the answer is 5x - y = 30!
Step-by-step explanation:
m = (0 (-5))/(6 - 3) = (0 + 5)/(3) = 5/3
y = mx + b
O = (5/3)(6) + b
O = (30/3) + b
O = 10 + b
-10 = b
3y = 5x - 30
3y + 30 = 5x
5x - 3y = 30
Find the area enclosed by the figure. Answer exactly or round to at least 2 decimal places.
Answer:
254.47
Step-by-step explanation:
What is the nth term for 2 3 5 13
this is a number is can not devide
I NEEDDDD HELPPPP ITS URGENTTTT!!!!
The area of a triangle is one-half times the base times the height. If the area of a
triangle is 54 sq. in, and its height is 12 in., what is the base????
I rlly need answer haha
Answer:
The base is 90 sq
Step-by-step explanation:
Formula for Area= 1/2*b*h
where b is unknown and area = 54sq
Placing in formula1/2 *b*12 = 54sq
12b = 54*2
12b /12 = 54*2/12
b = 9sq
Can someone explain by steps on how to do this
Answer:
8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
This is a special right triangle with angle measures 90-60-30 degrees
The side lengths are like the following :
The side length that sees 90 degrees is represented with x
The side length that sees 60 degrees is represented with x[tex]\sqrt{3}[/tex]
The side length that sees 30 degrees is represented with 2x
the side that sees 90 degrees is given as 16 so x = 8 and so a = 8[tex]\sqrt{3}[/tex]
Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
48°
х
х
=
Answer:
x = 44.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 48 = 30/x
x cos 48 = 30
x = 30 / cos 48
x=44.83429
Rounding to the nearest tenth
x = 44.8
The diagram shows a square with side length 5cm.
The length of the diagonal is y cm.
Find the exact value of y.
Answer:
5sqrt2
Step-by-step explanation:
Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.
Given the following information, give as complete a description of this figure as possible, including the measure of any sides and angles and any terms that can be used to describe the polygon.
Answer:
It's a square with four equal sides each side is 6cm. The angles at the four edges are all same have 90° between each two sides. You can calculate the area of the four triangles by using the formula 1/2 × hight × base. The hight will be 6 divided by 2 which is equal 3cm, and the base will be 6cm. So the area of each triangle is 1/2×3×6=9cm^2.
A delivery truck driver work shift is between 4 - 6 hours (240 - 360 minutes). It takes
the driver 45 minutes to load the truck and an average of 15 minutes per stop to deliver the packages. How many stops on average can he deliver packages during his shift 2
(Plz help)
Answer:
You are good on it
Step-by-step explanation:
Woplor
