Answers
Answer:
See image
Step-by-step explanation:
For this question, you need to know several special relationships about circles. A radius goes from the center of a circle to any point on the circle. All the radii (not a typo, plural of radius is radii) are the same size, their measures are equal; we say they are congruent (the symbol is an equal sign with a ~over it)
In the diagram, OA and OB are congruent because they are radii. AC is a tangent, that means that it touches the circle at exactly one point, in this case at A. So since OA is a radius and AC is a tangent, they are perpendicular to each other (makes 90° angles). Then we can subtract 90 - 72 to find the angle OAB. Angle OAB is 14°. In triangle AOB, which has two sides the same, the opposite angles will also be congruent which means OBA is also 14° (OR you could use the exact same logic for OB perpendicular to BC and subtract, same calculation as before) . Once you have the two 14° angles in the triangle, you can use the fact that all the angles in a triangle add up to 180° So then, 14 + 14 + x =180. Solve this equation to find angle AOB. See image.
Related Questions
HELPPP PYTHAGOREAN THEOREM
Answers
Answer:
60
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2+25^2 = 65^2
a^2 +625 = 4225
a^2 = 4225-625
a^2=3600
Taking the square root of each side
sqrt(a^2) = sqrt(3600)
a = 60
Answer:
Step-by-step explanation:
Hypotenuse: 65
Leg: 25
Let Hypotenuse be c, and leg be a
[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]
[tex]a^{2} + 25^{2} = 65^{2}[/tex]
[tex]a^{2} + 625 = 4225\\[/tex]
[tex]a^{2}[/tex] = 4225 - 625
[tex]a^{2}[/tex] = 3600
3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.
a = [tex]\sqrt{3600\\}[/tex]
a = 60
Therefore a is equal to 60 feet
4000 people were randomly selected for a survey. It was found that 50% read the newspapers in Nepali language, 45% read the newspapers in English language and 25% read neither of them. How many families read the both? Also, find the number of families who read exactly one kind of these papers. +
Answers
Answer:
1) 800 (read the both) 2) 2200 (read exactly one)
Step-by-step explanation:
Find the people (families) who read neither of them
4000/100*25= 1000
It means that the rest 4000-1000= 3000 families read the newspapers at least in one language from the pointed languages. 4000/1oo*50= 2000 - readers in Nepali
4000/100*45= 40*45=1800 - readers in English.
2000+1800= 3800- the special amount, that consists of 1) only Nepali readers
2) only English readers 3) the readers in two languages (but the were counted twice, because we considered them in the group of Nepali readers and group of English readers)
The real quantity of only Nepali readers, only English readers and both language readers is 3000.
S0 3800-3000= 800 people - read in two languages
3000-800=2200 families read exactly one kind of these papers
Multiply the polynomials.
Answers
x^3 - 4x^2 - 16x + 24
Find the value of x in the triangle shown below.
Answers
This is a isoceles triangle so base angles will be equal.
Therefore
ATQ
55 + 55 + x = 180
110 + x = 180 (Angle Sum Property)
x = 180 - 110
x = 70
Therefore x° = 70°
Answered by Gauthmath must click thanks and mark brainliest
Answer:x°=70°
Step-by-step explanation:
This is an isoceles triagle because the values on the sides of the figure are the same. Therefore the base angles will be equal.
55+55+x=180
110+x=180
Next, you will subtract 110 from both sides.
110+x=180
-110 -110
x°=70°
find the measure of y.
options:
86°
102°
130°
122°
Answers
Answer:
B
Step-by-step explanation:
It's a 4 sided polygon, so it's sum of interior angle will be 360. 120+y+85+53=360. y=102
Please help! Geometry 9th grade
Answers
Answer:
69.3
Step-by-step explanation:
if you put it into 2D, you get a right triangle with leg lengths 62 (vertical height) and 31 (1/2 the base's length). Using Pythagorean's Theorem you get sqrt((62^2)+(31^2))= 69.318. Rounding to the nearest tenth you get 69.3
please answer this!!
Answers
Answer:
16
Step-by-step explanation:
if angle c is 45 then angle A is 45 also
Hence AB is equal to BC
DJVJNNSMKAJABJSHSNSB
Answers
Express x^2-8+5 in the form (x-a)^2-b where a and b are integers
Answers
Answer:
(x-4)^2-9 where a=4 and b=9
Step-by-step explanation:
x^2-8x+5
x^2-8x+16-16+5
(x-4)^2-9, a=4 and b=9
The sum of (-12) and (5) is
(A) 6 (B) 8 (C) -7
Answers
Answer:
-7
Step-by-step explanation:
-12 +5
Since the signs are different
Take the larger number and subtract the smaller number
12-5 =7
Take the sign of the larger
-7
Answer:
-7 is the answer
[tex]( - 12) + (5) \\ = 7[/tex]
17. Write an equation in slope-intercept form for the line that passes through (0,6) and
is parallel to the line described by y = 2x +3.
Answers
Answer:
y = 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
The line passes through (0, 6 ) ⇒ c = 6
y = 2x + 6 ← equation of parallel line
What is the length of AC? B 3 ft 4 ft N O 3 ft O 4 ft O 18 ft M 6 ft O 12 ft A
please help
Answers
Answer:18 ft
Step-by-step explanation:
Got it right on edg 2021
Set up the ratio for cos(A)
Answers
Answer:
21/35
Step-by-step explanation:
Recall that Cos = Adjacent/Hypotenuse
We want to find Cos A
The adjacent of A is 21 and the hypotenuse is 35
So cos A would equal 21/35
PLEASE HELP! DUE TODAY :))
Answers
Step-by-step explanation:
do like the picture I sent
A set of prime number between 5 and 15 . express it in listing and set builder methods.
Answers
Answer:
Step-by-step explanation:
{7,11,13}
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
Answers
Answer:
C = 6.28 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14(2)
C = 6.28 ft
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
To Find :The circumference of the circle Solution :Formula for getting the circumference
[tex] \: \: \: \: \: \: \: \: \: \star \: \orange{\underline{ \purple{ \boxed{ \red{\sf Circumference \: of \: the \: circle = 2πr}}}}}[/tex]
Given data :
Diameter = 2 ft
π = 3.14
Radius = diameter/2 = 2 ft/2 = 1 ft
So the circumference is
Circumference = 2πrCircumference = 2 × 3.14 × 1 Circumference = 6.28 ftTherefore, the perimeter is 6.28 ft
SOMEONE HELP ME PLEASE
Answers
Answer: P (4 or even) = 1/2 = 50% = 0.5
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers: 6
Numbers of 4 = 1
Numbers of even = 3
[Since 4 is one of the even numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (4 or even) = Favorable / Total (refer to attachment)
P (4 or even) = [(1 + 3) - 1] / 6
P (4 or even) = (4 - 1) / 6
P (4 or even) = 3 / 6
P (4 or even) = 1 / 2
Hope this helps!! :)
Please let me know if you have any questions
x+y=4 and 2x+3y=2 then find x and y
Answers
Answer:
x=10, y=-6
Step-by-step explanation:
1) express x from the first equation x+y=4 x=4-y
2) It is the system of equations, so both equations are simultaneous.
you can replace x to 4-y in the second one
2 *(4-y) +3y=2
8-2y+3y= 2
y=-6
x= 4-y=4-(-6)=10
The answer is x=10, y=-6
Is 392 a perfect cube? If not, find the smallest natural number by which
392 must be multiplied so that the product will be a perfect cube.
Answers
Answer:
No
7
Step-by-step explanation:
We can start by factoring 392 to see whether it is a cube. 392 is obviously divisible by 2 because the last digit is even, and dividing by two we get:
392 = 2 x 196
Again, 196 is divisible by 2, so we get:
392 = 2 x 2 x 98
And 98 is also divisible by 2:
392 = 2 x 2 x 2 x 49
49 is 7 times 7, so we can finish the prime factorization of 392:
392 = 2 x 2 x 2 x 7 x 7
This is the same as:
392 = 2^3 x 7^2
We can see 392 is not a cube because both numbers are not raised to a power divisible by 3.
In order to turn it into a cube, we'd need to make both prime factors raised to the power of a multiple of 3. 2 is already raised to one, but 7 is raised to the power of 2. In order to make that two divisible by 3, we can multiply by 7 so that our number is 2^3 x 7^3(2744), and this would be a cube(It's 14 cubed).
Write the ratio $150 : $450 : $750 in its simplest form.
Answers
Lets do
[tex]\\ \Large\sf\longmapsto 150:450:750[/tex]
[tex] \\ \Large\sf\longmapsto \frac{150}{ \dfrac{450}{750} } \\ \\ \Large\sf\longmapsto \frac{15}{ \dfrac{45}{75} } \\ \\ \Large\sf\longmapsto \frac{3}{ \dfrac{9}{15} } \\ [/tex]
Simplified ratio is
[tex]\boxed{\LARGE{\sf \$1:\$3:\$5}}[/tex]
Answer:
1 : 3 : 5
Step-by-step explanation:
$150 : $450 : $750
Divide each by 150
$150/150 : $450/150 : $750/150
1 : 3 : 5
Factorise : 4z² - 16z + 15
Answers
Answer:
(2z-5)(2z-3)
if the "A" term in a quadratic Ax^2 + Bx + C is NOT a "1"
first check to see if there is a commpon factor of a,b,c that can be pulled out
for example 2x^2 + 4x + 6 you can pull
out a 2.... 2(x^2 + 2x +3)
if not you multiply the values a*c
in you case 4*15 which is 60
now you factor the 60
1*60
2*30
-1*-60
-2*-30
10*6
-10*-1
etc
when you find the combination that ADDS UP TO THE B TERM
you rewrite the B term using the factors you forud...
SO -16z becomes -10z - 6z
put it in the original problem
4z^2 -10z - 6z + 15
if you get this far , the GROUPS WILL ALWAYS WORK
pull out a 2z from "4z^2 -10z"
and pull out a -3 from "- 6z + 15"
and magically you will see that the "left over stuff" is the same
2z(2z-5) -3(2z-5)
pull out common item
(2z-5) (2z-3) ... all done
Step-by-step explanation:
multiple AC ... 15*4 = 60
factor 60 to end up with -16
-10 * -6 = 60
rewrite (factor by grouping)
4z^2 -10z - 6z + 15
find groups
2z(2z-5) -3(2z-5)
(2z-5)(2z-3)
If i work in a week 2 days cleaning and i will work 4 hours in a day and in 1 hour is 8$ how much will it be in a year
Answers
Answer:
$3072
Step-by-step explanation:
It is given that :
I work for 4 hours everyday, working 2 days a week.
And in 1 hour , I get $8.
Therefore,
1 hour = $8
4 hours = 4 x 8
= $32
So, in 1 day working for 4 hours, I get $32.
∴ Working 2 days = 32 x 2
= $64
In 1 month, there are 4 weeks
So, in 4 weeks (or 1 month), I work for = 4 x 2
= 8 days
Therefore, in 8 days, I get = 8 x 32
= $256
Now there are 12 months in a year.
So, in 12 months , I will get = 12 x 256
= $3072
Therefore, in 1 year , I will get $3072.
PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST
For a certain value of k, the system
x + y + (k-1) = 2,
6x + 2y - 3z = 1
kx - z = -3
has no solutions. What is this value of k?
Answers
In matrix form, the given system is written as
[tex]\begin{bmatrix}1&1&0\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}3-k\\1\\-3\end{bmatrix}[/tex]
and the system has no solution is the coefficient matrix is singular. The determinant is
[tex]\begin{vmatrix}1&1&0\\6&2&-3\\k&0&-1\end{vmatrix} = -3k+4[/tex]
and this is zero when k = 4/3.
On the other hand, in case you are missing a factor of z in the first equation, so that the system should read
x + y + (k - 1) z = 2
6x + 2y - 3z = 1
kx - z = -3
reframing it as a matrix equation gives
[tex]\begin{bmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}2\\1\\-3\end{bmatrix}[/tex]
Then the determinant of the coefficient matrix is
[tex]\begin{vmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{vmatrix} = -2k^2-k+4[/tex]
and the determinant is zero at two values, k = (-1 ± √33)/4.
Will Mark Brainlest Helppp please
Answers
Answer:
1
Step-by-step explanation:
a pair of coordinates defines a first number x, and as second number y (or the functional result).
so, we need to find the value of x that leads to 2 as functional result.
2 = x² + 1
1 = x²
x = 1
I need help make sure to round it to the nearest 10th
Answers
Answer:
10.52
Step-by-step explanation
Step by step explanation: in order to find the missing side you need to use sin=opposite/hypotenuse, which gets you sin26*=x/24, multiply both sides by 24 which will get you 24(sin26*)=x once rounded to the nearest tenth will give you the result of 10.5
Must show work! PLEASE DO THIS ASAP!
No links
Answers
Answer:
37.68
Step-by-step explanation:
The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68
[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]
r = 6 inchesπ = 3.14[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]
In a batch of 120 manufactured machine parts, 3 are found to be defective. At
his rate, how many machine parts would be defective in a batch of 12,000?
Answers
Answer:
300
Step-by-step explanation:
3:120 =1:60 ==300:12000
Find the exact value of x.
Answers
Answer:
x =9 ,6
Step-by-step explanation:
Please help me solve this last problem guys
Answers
Answer:
[tex]\frac{x+4}{4x-4}[/tex]
Step-by-step explanation:
Your patient weighs 15 kg and is scheduled for to have an abdominal exploratory. You are instructed to provide 0.9% sodium chloride IV at a rate of 30ml/kg/hr. What will be the fluid rate be for your IV pump?
Answers
Answer:
[tex]V_f=450ml/hr[/tex]
Step-by-step explanation:
From the question we are told that:
Mass [tex]m=15kg[/tex]
Amount of NaCl IV [tex]n=0.9\%[/tex]
Rate [tex]R=30ml/kg/hr[/tex]
Generally the equation for fluid rate be for your IV pump is mathematically given by
[tex]V_f=mR[/tex]
Since
Rate is
30ml/kg/hr at 1kg patient Weight
Therefore
[tex]V_f=15*30[/tex]
[tex]V_f=450ml/hr[/tex]
