X = 30°
The triangle in the circle as one angle of the main triangle and it is equilateral indicated by the slashes meaning all angles are 60°. (Every triangle has a total of 180°) the next angle is made from a tangential line the forms a 90° right angle with one of the radii in the circle meaning the main triangle has 1 angle of 60°, 1 angle of 90°, and that means that angle X is 30°.
Answer:
triangle ABD is a equilateral triangle.
so each angle is 60°
<ADB=60°
<BAD=60°
again
we have
CD is perpendicular to AD[tangent on the arc is perpendicular to the radius]
:. ADC=90°
°
again
In triangle ADC
<A+<B+<C=180°[sum of a interior angle of a traingle is 180°]
60°+90°+x=180°
x=180°-150°
x=30°
is a right answer.
If A = –2p + 7 and B = p2 + 3p – 5, find an expression that equals A – 3B in
standard form.
Answer:
-3p^2 - 11p + 22
Step-by-step explanation:
A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).
Perform the indicated multiplication, obtaining:
(-2p + 7) - 3p^2 - 9p + 15, and then:
-2p + 7 - 3p^2 - 9p + 15, or (combining like terms):
-3p^2 - 11p + 22
$5000 grew to $9000 at the compound interest of 12% per annum what was the years taken for the investment
Answer:
1year?hehehehehehehehehe
The experiment proceeded as normal, with the experimental group hearing about the potential presence of a gun as the confederates left the study and the control group not hearing about the gun. Unfortunately, word spread around campus about a man with a gun who stole a laptop during a study. Unknown to the study researchers, many potential participants participated in the research anyway, and kept an eye out for a gun, knowing that they might be asked about it. The researchers found that those in the experimental group did not differ from those in the control group about the likelihood of a gun. That is, the mean score that a gun was present during the second interview was similar for the experimental group (M = 67%, SD = 12.4%) and the control group (M = 63%, SD = 11.16%).
Maturation
Regression to the mean
Selection
Mortality
Instrumentation
Testing
History
Interactions
Diffusion
No Threat
Answer:
The answer is "The threat to internal validity is mortality".
Step-by-step explanation:
It signifies that while in terms of your study, persons were "morning." It usually signifies when people leave the studies. There will be only likely if indeed the experiment lasts a long period that it'll be a substantial danger to validity and reliability because the chance for drops increases. Eight content validity risks are history, maturity, instrument, test, choice, average regress, human engagement, and mortality.
When Annie hits a softball, the height of the
ball above the ground after t seconds is given
by h = -4.9/2 + 19.61 + 1.4 metres. Find the
maximum height reached by the ball.
Answer:
21 metres.
Step-by-step explanation:
I think you mean the equation to be:
h = -4.9t^2 + 19.6t + 1.4
To find the maximum height we convert the equation to vertex form:
h = -4.9(t^2 - 4t) + 1.4
h = -4.9[(t - 2)^2 - 4] + 1.4
h = -4.9(t - 2)^2 + 19.6 + 1.4
h = -4.9(t - 2)^2 + 21.
The maximum height is 21 metres.
One term of a geometric sequence is a4=135. The common ratio is r=3. Write an explicit rule for the nth term.
Answer:
[tex]a_{n} = 5 * 3^{n-1}[/tex]
Step-by-step explanation:
To find the nth term of a geometric sequence, you have the general formula:
[tex]a_{1} *r^{n-1}[/tex]
where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):
135 = [tex]a_{1} * 3^{4 - 1}[/tex]
135 = [tex]a_{1} * 3^3[/tex]
135 = [tex]27a_{1}[/tex]
[tex]a_{1} = 5[/tex]
Now, we can substitute the first term back in:
[tex]a_{n} = 5 * 3^{n-1}[/tex]
Which term describes a fraction that has a polynomial in its numerator and denominator?
Answer:
Rational expression
Step-by-step explanation:
Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so what are ratio of all players sixth graders on the team
Answer:
14:3
Step-by-step explanation:
14 total.
all players : sixth graders
14:3
please help will give brainliest
Answer:
4
Step-by-step explanation:
The number of kids who like vanilla is 13 the number of kids who like strawberry is 9
13-9=4
hope this helps!!
25 points! Please help!
Answer:
17.5(D)
Step-by-step explanation:
So, lets see:
Every 5 minutes, Raul answers 22 questions.
The test has 77 questions.
We must figure out the time it takes to answer all 77 questions.
To do this, lets first divide the total questions by the questions answered per 5 minutes:
77 / 22
=
3.5
I got 3.5 knowing that 3x22 is 66, and half(0.5) of 22 is 11, and 11 plus 66 is 77.
So, the 3.5 is how many times he answrs 22 questions in five minutes.
To make a bit more sense, basically we have to multiply the 5 minutes by the 3.5:
3.5*5
=
17.5
We know that 3 times 5 is 15. Half(0.5) of 5 is 2.5, so 15+2.5 is 17.5.
So the answer is that for the 77 quesitons, it takes 17.5 minutes
HOPe this helps!
A circle has radius 6 cm. Suppose an arc on the circle has length 31 cm. Answer the
following:
a. The fraction of the whole circle represented by this arc is
b. The measure of the central angle defined by the arc is
degrees.
C. The area of the sector defined by the arc is
cm2. (Express answer
in terms of r or pi).
Answer:
[tex]Fraction = \frac{31}{38}[/tex]
[tex]\theta = 296.18^\circ[/tex]
[tex]Area = 29.62 \pi[/tex]
Step-by-step explanation:
Given
[tex]r = 6[/tex]--- radius
[tex]L = 31[/tex] --- arc length
Solving (a): Fraction represented by the arc
First, calculate the circumference (C)
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 6[/tex]
[tex]C = 38[/tex] --- approximated
So, the fraction represented by the arc is:
[tex]Fraction = \frac{L}{C}[/tex]
[tex]Fraction = \frac{31}{38}[/tex]
Solving (b): Measure of the center angle
Using arc length formula, we have:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]
[tex]31 = \frac{\theta}{360} * 37.68[/tex]
Make [tex]\theta[/tex] the subject
[tex]\theta = \frac{360 * 31}{37.68}[/tex]
[tex]\theta = 296.18^\circ[/tex]
Solving (c): The area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]
[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]
Divide 360 and 36
[tex]Area = \frac{296.18}{10} * \pi[/tex]
[tex]Area = 29.618 * \pi\\[/tex]
[tex]Area = 29.62 \pi[/tex] --- approximated
Question in screenshot
Answer:
See below
Step-by-step explanation:
[tex]y = {u}^{ \frac{3}{2} } \\ \\ \therefore \: \frac{dy}{du} = \frac{3}{2} {u}^{ \frac{3}{2} - 1 } = \boxed{\frac{3}{2} {u}^{ \frac{1}{2}} } \\ \\ u = 8x + 3 \\ \\ \frac{du}{dx} = 8.1 + 0 = \boxed{8}[/tex]
csc^ 2 theta- csc^ 2 theta sec^ 2
Answer:
-csc²θ(tan²θ)
Step-by-step explanation:
csc²θ-csc²θ(sec²θ)
-csc²θ(-1+sec²θ)
-csc²θ(tan²θ)
what is the slope of this graph
Answer:
Slope, m = 5
Step-by-step explanation:
Picking points on the x-axis and y-axis of the graph;
Point on x-axis (x1, x2) = 2, 4
Points on the y-axis (y1, y2) = 10, 20
To find the slope;
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {20 - 10}{4 - 2} [/tex]
[tex] Slope, m = \frac {10}{2} [/tex]
Slope, m = 5
Help pls I’ll mark you brainliest
Answer:
9
Step-by-step explanation:
9
A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 220 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Write the null and alternative hypotheses in words.
Answer:
Null hypothesis :
Grades have not improved for a majority of students
Alternative hypothesis :
Grades have improved for a majority of students
Step-by-step explanation:
The null and alternative hypothesis for this scenario who see the null hypothesis take a midpoint between improvement and decline ; which can be expressed as ;
H0 : p = 0.5
This means that the performance of students is at a centre point where it could swing either way (decline or improve).
To test of grade has improved students, the, the proportion of f students who have proved should be greater. Which is what the test intends.
H1 : p > 0.5
For all x -4 which of the following is equivalent to the expression below?
x2 + 12x + 32 / x + 4
A. X + 3
B. X + 8
C. X + 11
D. X + 16
E. X + 28
A and e
Step-by-step explanation:
i did this on khan so I know it
The expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]=\rm \dfrac{x^2 + 12x + 32} { x + 4}[/tex]
[tex]=\rm \dfrac{(x+4)(x+8)} { x + 4}[/tex]
As it is given, x ≠ -4
We can cross the term (x+4) from the numerator and denominator.
= (x+8)
Thus, the expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
please tell me where i have to graph this!! also please tell me if i open the dot or not. (NO FILE ANSWERS!!)
Answer:
Graph at 0 with open circle and arrow pointing right. Right now, all you need to do is open circle
Step-by-step explanation:
Dot at 0 bc 0 is only number in equation
Open circle because there is no "or equal to", so it doesn't include zero
pointing right because right is greater than
please answer ive been having such a bad day today
Answer:
A - y = 2x + 1
Step-by-step explanation:
2(2) + 1 = 5
2(4) + 1 = 9
2(6) + 1 = 13
Hope this helps <3
anyone help please!
5th grade math. correct answer will be marked brainliest
Answer:
C
Step-by-step explanation:
Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.
Answer:
[tex]\displaystyle V = 147 \pi \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
h = 9 cm
r = 7 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle V = \frac{1}{3} \pi (7 \ cm)^2(9 \ cm)[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{1}{3} \pi (49 \ cm^2)(9 \ cm)[/tex]Multiply: [tex]\displaystyle V = \frac{1}{3} \pi (441 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = 147 \pi \ cm^3[/tex]Answer:
Solution given:
height[h]=9cm
radius [r]=7cm
volume of cone =?
we have
Volume of cone:⅓πr²h=⅓*π*7²*9=⅓*22/7*7²*9=
462cm³
volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm is 462cm³.
can anyone help please
Answer:
x = 0, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
8x² - 12x = 0 ← factor out 4x from each term
4x(2x - 3) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Please help, I am struggling with learning about this
Answer:
canvas? or is that a different website
Step-by-step explanation:
Change of Base formula: [tex]log_ax=\frac{log_bx}{log_ba}[/tex]
b can be any number.
This formula is used because a lot of calculators can't calculate a logarithm with a base other than 10, so calculators don't show the bases, it is already assumed as base 10.
[tex]log_725=\frac{log_{10}25}{log_{10}7}[/tex]
Type log(25) / log(7) to get: 1.6542
Pls let me know if u have any questions about logarithms, it helps me study!!
A box contains 16 red marbles, 25 green marbles, 4 yellow marbles and 10 blue marbles. A marble is chosen at random. What is the probability of not choosing a green marble
Answer:
Step-by-step explanation:
There are 15 red, 14 green, and 9 yellow balls in a bag. What is the minimum number of balls that Bob needs to take out of the bag (without looking) so that at least 12 the balls are the same color?
26 balls
Step-by-step explanation:
have to at least take 11 red, 10 green 5 yellow so have 12 balls in bag
What is the volume of a rectangular prism that has a length of 18 inches, a width of 1 foot, and a height of 14 inches?
Answer:
3024
Step-by-step explanation:
l * w * h
18 in. * 12 in. * 14 in.
there are 12 inches in 1 foot.
If Matt's share is 20% less than Kate's, how much is Kate's share more than Matt's?
A.
O 25%
B.
0
33.33%
38
C. O 20%
D. O 50%
find the vertex of the graph of the following quadratic equations y= -3x^2 -12x-13
Answer:
Step-by-step explanation:
The vertex is a point. The x value is defined as x = - b / 2a where
a = -3
b = - 12
x = - -12/ 2* -3
x = 12 / - 6
x = -2
what is y when x = - 2?
y = -3(-2)^2 - 12(-2) - 13
y = -12 + 24 - 13
y = -1
Does the graph agree? It should
The equation is written as
y = -3(x + 2)^2 - 1
Please find the answer! <3 tyvm have a great day/night!!!
Answer:
96
Step-by-step explanation:
area is B*H*L
6*8*2 = Area
96 = Area
R 408 344 525.2 What i want to know this money is a millions or thousand?
Answer:
million
Step-by-step explanation: