Answer:
H * 2g/w² = R² - r²
r² = R² - H * 2g/w²
r = √(R² - H * 2g/w²)
Which angle is adjacent to 24?
22
23
25
28
Answer:
The answer is C
Step-by-step explanation:
got it right
Can some one plz help me solve this problem! I need help ASAP ! Help me I will mark you as brainlizt!
Answer:
a) y = -5 b) y = -4 c) y = 4 d) y = 11
Step-by-step explanation:
a) (-2+2)²-5
b) (-1+2)²-5
c) (1+2)²-5
d) (2+2)²-5
This is a continuous set of points in the coordinate plane. It can be, but is not always, straight.
Answer:
Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).
What is the range of the function g for the given domain?
g(x) = 2x - 5
D = (-2, 0, 2, 4)
Answer:
R = {-9, -5, -1, 3}
Step-by-step explanation:
To find the range, plug in each value of the domain into the given equation for x.
g(-2) = 2 (-2) - 5 = -9
g(0) = 2 (0) - 5 = -5
g(2) = 2 (2) - 5 = -1
g(4) = 2 (4) -5 = 3
Answer:
R = {-9, -5, -1, 3}
Step-by-step explanation:
We can determine the range of the function g by inputting each given domain value into the function itself.
g(x) = 2x - 5 and D = {-2, 0, 2, 4}
g(-2) = 2(-2) - 5 = -4 - 5 = -9
g(0) = 2(0) - 5 = 0 - 5 = -5
g(2) = 2(2) - 5 = 4 - 5 = -1
g(4) = 2(4) - 5 = 8 - 5 = 3
Therefore, R = {-9, -5, -1, 3}.
I hope this helps!
A basket ball that has a diameter of 20cm is placed in a box so that it touches all inner sides of a box. What is the volume NOT occupied by the ball when it is placed in the box?
Please help me asap
Answer:
3811.21
Step-by-step explanation:
volume of sphere is 4188.79 using the formula for the volume of a sphere.
volume of the box is=20x20x20=8000
8000-4188.79=3811.21
Triangle P Q R is shown. Angle R P Q is 99 degrees and angle P Q R is 31 degrees. The length of Q R is 11. Determine the measures of all unknown angles and side lengths of ΔPQR. Round side lengths to the nearest hundredth.
Answer:
[tex]\angle PRQ = 50^\circ[/tex]
PR = 5.74 units and
PQ = 8.53 units
Step-by-step explanation:
We are given the following details:
[tex]\angle RPQ =99^\circ[/tex]
[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]
To find:
[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]
We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]
i.e.
[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]
To find the sides, we can use Sine rule:
As per Sine rule:
[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]
Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.
Using Sine rule in given triangle:
[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]
So, sides are
PR = 5.74 units and
PQ = 8.53 units
Answer:
Answer:
PR = 5.74 units and
PQ = 8.53 units
Step-by-step explanation:
We are given the following details:
To find:
We know that the sum of all the angles of a triangle is equal to
i.e.
To find the sides, we can use Sine rule:
As per Sine rule:
Where a, b and c are the sides opposite to respectively.
Using Sine rule in given triangle:
So, sides are
PR = 5.74 units and
PQ = 8.53 units
Step-by-step explanation:
A quadrilateral has all sides and angles congruent. Which name best describes the figure? a. rhombus b. square c. rectangle d. trapezoid
Answer:
It's a square
Step-by-step explanation:
Because a square has all equal sides, and its an quadrilateral, and we know its square bc the other shapes dont really have that.
The square is also the name of the regular quadrilateral — one in which all sides are congruent and all angles are congruent.
Ruth bought metal rods that are each 3.8 centimeters long. If Ruth lines up 7 of them end-to-end, how long will the line be?
Answer:
26.6 CmStep-by-step explanation:
This is easy, just multiply 3.8 by 7.
3.8 x 7 = 26.6
I'm always happy to help :)
how do you change a rational number to a decimal
Answer:
see below
Step-by-step explanation:
do long division
for example 42/8 = 5 2/8 =5 1/4 =5.25
work out the area of a circle with diameter 1.8cm take pie to be 3.142 and give your answer to 1 decimal place.
I need help urgently factorise :a squared divided by 8 minus b squared divided by 50.
Answer: 1/200 * (5a-2b)(5a+2b)
Step-by-step explanation:
a^2/8 - b^2/50
Factor out 1/200,
1/200 * (25a^2 - 4b^2)
Using a^2 - b^2 = (a-b)(a+b),
1/200 * (5a-2b)(5a+2b)
Answer:
1/2(a/2+b/5)(a/2-b/5)
Step-by-step explanation:
a²/8- b²/50= 1/2(a²/4- b²/25)= 1/2(a/2+b/5)(a/2-b/5)
PLEASE HELP!! QUICK. MULTIPLE CHOICE
Answer:
4 is a
Step-by-step explanation:
Solve the system algebraically. -6x+3y=27 -5x-3y=-16
Answer:
A) -6x+3y = 27
B) -5x-3y = -16 We add the 2 equations
-11x = 11
x = -1
Putting 1 into equation B)
5 -3y = -16
-3y = -21
y = 7
Step-by-step explanation:
Is 6 a solution to the equation x^2 - 4 = 5x? Please tell me why or why not
Answer:
6 is not a solution to the given equation.
Step-by-step explanation:
We are given the equation [tex]x^2-4=5x[/tex]
We need to know whether or not x=6 is a solution. This means that we should substitute in 6 for each instance of x. Then, if both sides of the equation are equal, then 6 is a solution to the equation.
[tex]x^2-4=5x\\\\(6)^2-4=5(6)\\\\36-4=30\\\\32=30[/tex]
As 32 ≠ 30, 6 is not a solution to the given equation.
Thirteen out of 20 emails in your inbox are junk emails. What is the experimental probability that your next email is junk? Give your answer as a fraction, decimal and percent (in this order).
Fraction =
Decimal =
Percent = %
Answer:
Fraction = 13/20
Decimal = 0.65
Percent = 65%
Step-by-step explanation:
Given:
13 out of 20 emails in mail inbox are junk emails
Solve for:
The experimental probability that next email is junk
Solution:
Step 1: Define the formula for calculating the probability
P = number of elements/total number of elements
Step 2: Perform the calculation
The number of elements (junk emails) = 13
The total number of elements (all emails) = 20
=> P(obtain odd number in experiment) in fraction form = 13/20
=> P(obtain odd number in experiment) in decimal from = 0.65
=> P(obtain odd number in experiment) in percent form = 0.65 x 100 = 65%
Hope this helps!
:)
If X to the second power equals 30, what is the value of X?
Answer:
see below
Step-by-step explanation:
x² = 30
x = ±√30 (take the square root of both sides)
The value of X in the equation is:
√30 or 5.48
If X to the second power equals 30, what is the value of X?An algebraic equation is when two expressions are set equal to each other, and at least one variable is included.
If X to the second power equals 30 can be written as:
X² = 30
To find the value of X, take the square root of both sides of the equation. That is:
√X² = √30
X = √30
X = 5.48
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I need help im lazy :)
Answer:
[tex]x=-8[/tex]
Step-by-step explanation:
→All you need to do for this equation is, divide both sides by -300. You do this to get "x," by itself:
[tex]2400=-300x[/tex]
[tex]\frac{2400}{-300} =\frac{-300x}{-300}[/tex]
[tex]-8 = x[/tex]
What decrease the probability of something happening?
Answer:
When you add more to your sample space.
Imagine you have a 6-sided dice and you change it to a 10-sided dice. Your possibilities of getting any number (excluding 7, 8, 9, 10), just went from 16.67% to 10%.
find the value of x
Answer:
x= -12
Step-by-step explanation:
∠2= (180°-36°)÷2 (base ∠s of isos. △)
∠2= 72°
m∠2= x +84
72= x +84
x= 72 -84
x= -12
Answer:
The value if x is -12.
Step-by-step explanation:
Given that isosceles triangle have a same pair of angle. So in order to find the angles, you have to subtract it from 180° and 36°.
[tex]θ + θ + 36 = 180[/tex]
[tex]2θ = 180 - 36[/tex]
[tex]2θ = 144[/tex]
[tex]θ = 144 \div 2[/tex]
[tex]θ = 72[/tex]
Next, the expression for ∠2 is x + 84 which is also 72°. So you have to solve it by comparing :
[tex]x + 84 = 72[/tex]
[tex]x = 72 - 84[/tex]
[tex]x = - 12[/tex]
Which of the following is a perfect square? 221 196 224 176 Need the answer as quick as possible
Answer:
196
Step-by-step explanation:
196 is the perfect square number, because its square root is 14.
[tex] \sqrt{196} = 14[/tex]
A vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until r = 15 of them have correctly diagnosed the problem. Suppose that this requires diagnoses by 20 different mechanics (so there were 5 incorrect diagnoses). Let p = P(correct diagnosis), so p is the proportion of all mechanics who would correctly diagnose the problem. What is the mle of p?
Answer:
the mle of P=0.833
Step-by-step explanation:
X=incorrect answer
And probability of success to be denoted as P
Here X posses a binomial distribution along with 'r' and 'p'parameter
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION
Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. If she continues at this rate, where will Ariel be in relation to the rim after 15 minutes?
Answer:
This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.
Step-by-step explanation:
What we are asked here is imply to state how long in terms of distance would be Arielle position after 15 minutes
Now, 55 ft will take her 234 minutes
x ft will take her 15 minutes
x * 234 = 55 * 15
234x = 3825
x = 3825/234
x = 16.35 ft
This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.
After 15 minutes, Ariele would be 3.5 feet away from the rim.
What is speed?Speed is the ratio of distance travelled to total time taken. It is given by:
Speed = distance / time
Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. Hence;
Ariele speed = 55 feet / 234 minutes
In 15 minutes, the distance covered is:
Distance = (55 feet / 234 minutes) * 15 minutes = 3.5 feet
After 15 minutes, Ariele would be 3.5 feet away from the rim.
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A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.
Answer:
There are 8 possible outfit choices
Step-by-step explanation:
you multiply 2 times 4 because there each shirt can pair to each pants once
I NEEED HEEELLLPP
Which sequence of transformations could be used to map quadrilateral RSTU onto R"S"T"U"?
T(−1, −3) ° ry−axis
T(−3, −1) ° ry−axis
T(−1, 3) ° R0,180°
T(3, −1) ° R0,180°
Answer:
c) T(−1, 3) ° Rotation,180°
Step-by-step explanation:
Explanation:-
First we will apply transformation is
Rotation of 180° then we will apply transformation is changes
(x,y) to (-x ,-y)
a)
Given vertex T( 2 ,2 )
T( 2 ,2 )→ T( -2 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
T( -2 ,-2) → T¹ ( -2 -1 ,-2 +3)
The new vertex is T¹ ( -3 ,1)
b)
Given vertex U( 4 ,2 )
U( 4 ,2 )→ U( -4 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
U -4 ,-2) → U¹ ( -4 -1 ,-2 +3)
The new vertex is U¹ ( -5 ,1)
c)
Given vertex R( 3 ,5 )
R( 3 ,5 )→ R( -3,-5)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
R( -3 ,-5) → R¹ ( -3 -1 ,-5 +3)
The new vertex is R¹ ( -4 ,-2)
d)
Given vertex S( 1 ,3 )
S( 1 ,3 )→ S( -1 ,-3)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
S( -1,-3) → S¹ ( -1 -1 ,-3 +3)
The new vertex is S¹ ( -2,0)
Circle O is shown. 2 tangents intersect at a point outside of the circle which is labeled Satellite. The angle formed is 20 degrees and the measure of the first arc formed is x. One tangent intersects the circle at a point labeled Earth.
A satellite views the Earth at an angle of 20°. What is the arc measure, x, that the satellite can see?
Answer:
Your answer is 160
Step-by-step explanation:
Just did this on edg.
The measurement of asked arc is 160°.
What is the arc of a circle?An arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.
Given that. the two tangents intersect at a point outside the with circle center O
The angle formed between the two tangent = 20°
The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see (refer to the attached figure)
The angle x is given by the relationship;
x = 2 × (90 - v/2)
Where;
v = The angle formed at the point where the two tangent meet = 20°
Therefore;
x = 2 × (90 - 20/2) = 2 × (90 - 10) = 2 × 80 = 160°
The arc measure, x, that the satellite can see = 160°.
Hence, the measurement of asked arc is 160°.
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What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?,
A. -12
B. 12
C. -6
D. 6
Answer:
Option (D).
Step-by-step explanation:
In the figure attached,
An exponential function has been graphed with certain points marked on it.
To find the average rate of change for this function between the given interval we will use the formula,
Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{y_2-y_1}[/tex]
where [tex]f(x_2)[/tex] = value of the function at x = 4
[tex]f(x_1)[/tex] = value of the function at x = 2
By substituting these values in the formula,
Average rate of change = [tex]\frac{16-4}{4-2}[/tex]
= [tex]\frac{12}{2}[/tex]
= 6
Therefore, Option D will be the answer.
help please, i will mark brainliest
Answer:
40
Step-by-step explanation:
We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40
40 beats at 1 minute → 40 ÷ 1 = 40
80 beats at 2 minutes → 80 ÷ 2 = 40
120 beats at 3 minutes → 120 ÷ 3 = 40
160 beats at 4 minutes → 160 ÷ 4 = 40
200 beats at 5 minutes → 200 ÷ 5 = 40
The table shows the polar bear population in the North
Atlantic's Baffin Bay in 1997 and 2004.
Between 1997 and 2004, Baffin Bay's polar bear
population
528 is about
<
percent of 2074.
Answer:
Between 1997 and 2004, Baffin Bay’s polar bear population
decreased
.
528 is about
25
percent of 2074.
Step-by-step explanation:
Answer:
decreased
25
Step-by-step explanation:
part 1. Find the value of the trig function indicated, use the Pythagorean Theorem to find the 3rd side if you need it
Answer: [tex]\bold {1)\ \cos\ \theta}=\dfrac{\sqrt2}{2}\qquad 2)\ \tan \theta =\dfrac{1}{3}\qquad 3)\ \cos\ \theta=\dfrac{3\sqrt{13}}{13}\qquad 4)\ \cos\ \theta = \dfrac{2\sqrt5}{5}}[/tex]
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c², where "c" is the hypotenuse
[tex]1)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt2}\quad =\large\boxed{\dfrac{\sqrt2}{2}}[/tex]
Note: 2² + 2² = hypotenuse² → hypotenuse = 2√2
[tex]2)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{2}{2\sqrt2}\quad =\dfrac{5}{15}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]
Note: hypotenuse not needed for tan θ
[tex]3)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3}{\sqrt{13}}\quad =\large\boxed{\dfrac{3\sqrt{13}}{13}}[/tex]
Note: 2² + 3² = hypotenuse² → hypotenuse = √13
[tex]4)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{2\sqrt5}\quad =\large\boxed{\dfrac{2\sqrt5}{5}}[/tex]
Note: hypotenuse given in problem
What are the x- and y-intercepts of the graph of 5x – 4y = –20?
x-int: 5, y-int: –4
x-int: –5, y-int: 4
x-int: –4, y-int: 5
x-int: 4, y-int: –5
X-intercept is -4 and the Y-intercept is 5