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Related Questions
pls help me for question no.4
Answers
Answer:
Area of the composite figure = 75.25 cm²
Step-by-step explanation:
Question (4). Given figure is a composite figure having,
(1). Right triangle STU
(2). A kite PSUV
(3). A trapezoid PQRS
Now we will calculate the area of each figure.
(1). Area of the right triangle = [tex]\frac{1}{2}(\text{ST})(\text{TU})[/tex]
= [tex]\frac{1}{2}(3.5)(3)[/tex]
= 5.25 cm²
(2). Area of the kite PSUV = [tex]\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})[/tex]
= [tex]\frac{1}{2}(\text{PU})(\text{SV})[/tex]
= [tex]\frac{1}{2}(\text{TS+RQ})(\text{SV})[/tex]
= [tex]\frac{1}{2}(3.5+7)(6)[/tex] [Since SV = 2 × 3 = 6 cm]
= [tex]3\times 10.5[/tex]
= 31.5 cm²
(3). Area of the trapezium = [tex]\frac{1}{2}(b_1+b_2)(h)[/tex] [Where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and h is the distance between the bases]
= [tex]\frac{1}{2}[(7-3)+7](7)[/tex]
= [tex]\frac{77}{2}[/tex]
= 38.5 cm²
Total area of the given figure = 5.25 + 31.5 + 38.5
= 75.25 cm²
Please explain: Find the measure of angle A. a. 32 b. 57 c. 59 d. No angle exists.
Answers
Answer:
The answer is option B.
57°Step-by-step explanation:
To find Angle A we use cosine
cos ∅ = adjacent / hypotenuse
From the question
The adjacent is 14
The hypotenuse is 26
So we have
cos A = 14/26
cos A = 7/13
A = cos-¹ 7/13
A = 57.42
A = 57° to the nearest degreeHope this helps you
Answer:
57 deg
Step-by-step explanation:
(see attached for reference)
we are given a right triangle together with the lengths of one side (= 14 units) and the hypotenuse (= 26 units)
Using the trigonometry formulas, we can find angle A
cos A = adjacent length / hypotenuse
cos A = 14 / 26
A = cos⁻¹ (14/26) (use calculator)
A = 57.42 deg
A = 57 deg (rounded to nearest whole degree)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
w²-30w+210=0
Step-by-step explanation:
2w + 2l = 60 , w + l = 30, l = 30 - w
wl = 210
w(30-w) -210 = 0
30w - w²-210 = 0
w²-30w+210=0
The direct distance from a starting point to a finish line is 20 miles. Unfortunately, you can't take the direct route. If you travel 16 miles west, how many miles south must you travel to reach the finish line? A. 12 B. 16 C. 4
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Answer:
12
Step-by-step explanation:
In the table, describe the shape of the cross section formed when a particular plane passes through the cylinder.
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triangle is the best answer
Answer:
Step-by-step explanation:
Please find out the answer and I will mark your answer as the brain test with a five-star rating and a thank you. But only if the answer will be proper and neat...
Answers
Answer:
Below
Step-by-step explanation:
Let x be that missing number
One third of it is x/3
One-ninth of it is x/9
Multiply x/3 and x/9
● (x/3)*(x/9) = (x^2/27)
● (x^2/27) = 108
Multiply both sides by 27
● (x^2/27)*27 = 108*27
● x^2 = 2916
● x = √(2,916) or x = -√(2,916)
● x = 54 or x = -54
So there are two possibilities 54 and -54.
a1/3×1/9=!08
if you multiply you should get 1/27a=108
in order to let a alone multiply both sides by 27
and now your a which is unknown will equal 2916.
One equation 0f a pair of dependent linear equations is -5x+7y=2.The second equation can be a)10x-14y=-4 b)-10x-14y+4=0 c)-10x+14y+4=0 d)10x+14y=-4
Answers
Answer:
a) 10x - 14y = -4
Step-by-step explanation:
Two equations linear dependent if you can write one as a multiple of the other. It means that the equation that is a linear dependent with -5x+7y=2 is:
10x - 14y = -4
Because it can be written as:
-2(-5x+7y) = -2(2)
So, this equation is equivalent to -5x + 7y = 2
A ladder is placed 8 feet away from the base of a tree. If the ladder forms a 57° angle
with the ground, how high up the tree will the ladder reaach
Answers
Answer:
3.88 feet
Step-by-step explanation:
let the length the ladder reaches be x
[tex] \tan(57) = \frac{x}{8} [/tex]
[tex]x = 8 \tan(57) [/tex]
x = 3.8775938143
If a polynomial function f(x) has roots -9 and 7 -i, which must be a factor of f(x)
Answers
Answer:
(x + 9) (x - 7)
Step-by-step explanation:
when we put x + 9 = 0 then x = -9 as it's the root of the fuction.
same thing here: x - 7 = 0 then x = 7
Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x??
These are the options
O 12/21
O 1 2 191
O 1+2,1191
O 12.191
Answers
[tex]x^2-2x+20=0\implies D=b^2-4ac<0\implies x_1,x_2\notin\mathbb{R}[/tex].
There are no real solutions to the quadratic equation.
Hope this helps.
There are 6 chemical elements represented by Li, Na, Mg, Rb, Cs, and Fr that
are written on separate pieces paper. You randomly choose 3 elements, one
at a time, without replacement.
Find the probability that the third element is Na.
Enter the correct answer in the box.
Answers
Answer:
1/6
Step-by-step explanation:
I think this is tricky.
when you randomly choose the 1st two times, it doesn't matter as long as Na was not chosen, otherwise the probability would become ZERO for the 3rd one be Na.
So, after 1st two is removed, there are only 4 left in the pool, so picking Na at the 3rd draw is 1/4 probability.
But, come to think of it, when 1st draw, you have to draw the other 5 out of 6, 2nd draw the 4 out of 5, then 3rd is 1 Na out of the 4.
So, 5/6 x 4/5 x 1/4 = 1/6
The scores on an entrance exam to a university are known to have an approximately normal distribution with mean 65% and standard
deviation 7.1%. What is the standardized score for a student who scores 60% on this test?
on 70
Answers
Answer:
-0.704 (corrected to 3 significant figures).
Step-by-step explanation:
Standardized score = (actual score - mean) / standard deviation
Standardized score = (60% - 65%) / 7.1%
= -0.704 (corrected to 3 significant figures).
Standardized score = (actual score - mean) / standard deviation
= (60% - 65%) / 7.1%
= -0.704 (corrected to 3 significant figures).
What is supposed by way of ordinary distribution?A regular distribution is an association of facts set in which maximum values cluster in the center of the range and the relaxation taper off symmetrically in the direction of either intense.
What are everyday distributions with examples?Peak, beginning weight, studying potential, activity satisfaction, or SAT scores are only some examples of such variables. due to the fact that commonly distributed variables are so not unusual, many statistical checks are designed for commonly disbursed populations.
Learn more about the normal distribution here: https://brainly.com/question/4079902
#SPJ2
John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at speed of 42mph. On the way back the rain was over so his speed was 54mph. What was John's average speed, for the whole trip?
Answers
Answer:
48 mph.
Step-by-step explanation:
You need to calculate the average. So,
42 + 54 = 96
Because there are two quantities, 42 and 54, divide 96 by 2.
The average speed is 48.
Angles α and β are angles in standard position such that: α terminates in Quadrant III and sinα = - 5/13 β terminates in Quadrant II and tanβ = - 8/15
Find cos(α - β)
-220/221
-140/221
140/221
220/221
Answers
Answer:
140/221.
Step-by-step explanation:
For the triangle containing angle α:
The adjacent side is -√(13^2-5^2) = -12.
For the triangle containing angle β:
Hypotenuse = √(-8)^2 + (15)^2) = 17.
cos(α - β) = cos α cos β + sin α sin β
= ((-12/13) * (-15/17) + (-5/13)* (8/17)
= 180/221 + - 40/221
= 140/221.
Determine the possible rational zeros of this polynomial function using the rational zeros theorem: p(x) = 4x^4 + 13x^3 – 49x^2 – 73x –15
Answers
Answer:
[tex]\large \boxed{\sf \ \ \ -1, \ -5, \ -\dfrac{1}{4} \ \ \ }[/tex]
Step-by-step explanation:
Hello,
Let's determine the possible rational zeros of this polynomial function using the rational zeros theorem:
[tex]P(x) = 4x^4 + 13x^3-49x^2-73x-15[/tex]
First of all, what is the rational zeroes theorem?
If P(x) is a polynomial with integer coefficients
and if (p and q being integer)
[tex]\dfrac{p}{q}[/tex]
is a zero of P(x), meaning
[tex]P(\dfrac{p}{q})=0[/tex]
then p is a factor of the constant term of P(x) and
q is a factor of the leading coefficient of P(x).
How to apply it here?
The constant term of P(x) is -15
The leading coefficient of P(x) is 4
so p is a factor of -15
q is a factor of 4
15 = 1 * 5 * 3
4 = 2 * 2 * 1
q can be 1, 2, 4
-p can be 1, 3, 5, 15
so it gives the following potential solutions
-1, -3, -5, -15
[tex]\dfrac{-1}{2}, \dfrac{-3}{2}, \dfrac{-5}{2}, \dfrac{-15}{2}[/tex]
[tex]\dfrac{-1}{4}, \dfrac{-3}{4}, \dfrac{-5}{4}, \dfrac{-15}{4}[/tex]
Let's compute P(x) for x in this list of potential solutions
x P(x)
-1 0
-3 -264
-5 0
-15 148680
-0.5 7.875
-1.5 -39.375
-2.5 -185.625
-7.5 4948.125
-0.25 0
-0.75 7.96875
-1.25 -15.9375
-3.75 -324.84375
It gives -1, -5 and -0.25
Conclusion
The possible rational zeroes of P(x) are
-1
-5
[tex]\dfrac{-1}{4}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
In AABC, which trigonometric ratio has the value a/c?
Answers
Answer:
tan A has the ratio a/c
Step-by-step explanation:
Pleased to help u...
x-15 = 8
A. x= 23
B. x = 7
C. x=-23
D. x=-7
Answers
Answer:
[tex]\boxed{ x = 23}[/tex]
Step-by-step explanation:
=> x - 15 = 8
Adding 15 to both sides
=> x - 15 + 15 = 8 + 15
=> x = 23
Answer:
A. x = 23
Step-by-step explanation:
Step 1: Write out equation
x - 15 = 8
Step 2: Add 15 to both sides (Addition Equality)
x - 15 + 15 = 8 + 15
x = 23
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n)=-6+(n-1)(1/5) A)-6,-5 1/5, -4 B)5, -5 1/5,1 4/5 C)-6, -5 2/5, -4 1/5 D) 0, 3/5, 1 4/5
Answers
Step-by-step explanation:
An arithmetic sequence is given by relation as follows :
[tex]A(n)=-6+(n-1)\dfrac{1}{5}[/tex]
For the first term, put n = 1. So,
[tex]A(1)=-6+(1-1)\dfrac{1}{5}\\\\A(1)=-6[/tex]
For fourth term, put n = 4. So,
[tex]A(4)=-6+(4-1)\dfrac{1}{5}\\\\A(4)=\dfrac{-27}{5}\\\\A(4)=-5\dfrac{2}{5}[/tex]
For tenth term, put n = 10. So,
[tex]A(10)=-6+(10-1)\dfrac{1}{5}\\\\A(10)=-6+\dfrac{9}{5}\\\\A(10)=\dfrac{-21}{5}\\\\A(10)=-4\dfrac{1}{5}[/tex]
Hence, the correct option is (C).
Answer:
the answer in C)-6, -5 2/5, -4 1/5
Explain why f(x) = x^2-x-6/x^2-9 is not continuous at x = 3.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Required
Why is the function not continuous at x = 3
First substitute 3 for x at the denominator
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Factorize the numerator and the denominator
[tex]f(x) = \frac{x^2 - 3x+2x -6}{x^2 - 3^2}[/tex]
[tex]f(x) = \frac{x(x - 3)+2(x -3)}{(x - 3)(x+3)}[/tex]
[tex]f(x) = \frac{(x+2)(x - 3)}{(x - 3)(x+3)}[/tex]
Divide the numerator and denominator by (x - 3)
[tex]f(x) = \frac{x+2}{x+3}[/tex]
Substitute 3 for x
[tex]f(3) = \frac{3+2}{3+3}[/tex]
[tex]f(3) = \frac{5}{6}[/tex]
Because [tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex] is defined when x = 3;
Then the function is continuous
Answer:
A: f is not defined at x = -3
Step-by-step explanation: EDGE 2020
Which of the following correlation coefficients would correspond to a strong linear relationship in a data set? a. 0 b. 7 c. 0.9 d. 0.4
Answers
The correlation coefficient r is always between -1 and 1, inclusive of both endpoints. We can write [tex]-1 \le r \le 1[/tex]
If r = 0, then we have no linear correlation at all. If r = 1, then we have perfect positive correlation. If r = -1, then we have perfect negative correlation.
We see that r = 0.9 is close to r = 1, so we have strong positive linear correlation going on here.
The hardcover version of a book sells for 15 dollars and the paperback sells for 11.50. If a store sells 70 copies of the book in one month and charges 917 dollars how many hardcover versions were sold
Answers
Answer: 32 copies of hardcover version.
Step-by-step explanation: Suppose the quantity of hardcover version copies sold is H and the paperback copies is P.
1) A store sells a total of 70 copies:
H + P = 70
2) One hardcover is sold for $15 and one paperback for $11.50. In one month was charged $917:
15H + 11.5P = 917
Solving the system of equations:
H + P = 70 (I)
15H + 11.5P = 917 (II)
Since it is asked for the hardcover version, find H.
Multiply equation (I) by -11.5:
-11.5H - 11.5P = - 805 (III)
Add (II) and (III):
-11.5H - 11.5P = - 805
15H + 11.5P = 917
3.5H = 112
H = 32
In one month, it was sold 32 hardcover version of a book.
i cant see the answers does anyone else have this problem
Answers
Answer:
yeah....same!
Step-by-step explanation:
I'm having the same problem I thought it was just me
If a field researcher wanted to learn a political organization's pattern of recruitment over time, the researcher mightbegin by interviewing a fairly recent recruit and ask who introduced that person to the organization. Then theresearcher might interview the person named and ask who introduced that person to the political organization.This would be an example of: systematic sampling. accidental sampling. snowball sampling. quota sampling deviant cases sampling.
Answers
Answer:
C. snowball sampling
Step-by-step explanation:
Snowball sampling also known as referral sampling or chain sampling is a sampling method in research where the participants in the research are recruited to find new participants. This is a non-probability sampling method because participants choose other participants through their own insight. Just as a ball takes up more snow as it rolls by, so also this research method takes up more participants as it progresses.
So, when the field researcher who wanted to learn about a political organization's recruiting pattern begins by interviewing a participant who in turn suggests another participant, he has applied the snowball sampling method.
plz answer this question
Answers
Answer:
D is correct one
Step-by-step explanation:
The pattern consists of repeating 4 faces
1000 is fully divisible by 4
1000/4= 250The 1000th face ends the pattern of 4
The next, 1001th one is the very first face
Correct choice is D
Triangle TQRS Find the value of x.
O x = 2
O x = 3
O x= 33
O x= 52
Answers
Answer:
x=3
Step-by-step explanation:
To solve for x, we will follow the steps below:
First note that exterior angle =two opposite interior angle
From the diagram below
(25x) ° + (57 + x)° = (45x)°
25x° + 57° + x° = 45x°
next step is to collect the like term
45x° - 25 x° - x° = 57°
19x° = 57°
Divide both-side of the equation by 19
19x°/ 19 = 57° /19
On the left-hand side of the equation 19 will cancel out 19 leaving us with just x° while on the right-hand side of the equation 57 will be divided by 19
x = 3
Instructions: Find the measure of the indicated angle to the
nearest degree
Answers
Answer:
? = 33
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan ? = opp / adj
tan ? = 13/20
Take the inverse tan of each side
tan ^-1 tan ? = tan ^-1 ( 13/20)
? = 33.02386756
To the nearest degree
? = 33
Answer:
33.
Step-by-step explanation:
inverse tan (13/20) = 33.023867579302
M
Which angle is an adjacent interior angle to ZJKM?
LJKL
ZMKL
J
K
ZKLM
L
LMK
Answers
Answer:MLK
Step-by-step explanation:
The angle that is placed sideways with <JKM is <MKL
Interior adjacent angle of a triangleThe adjacent interior angle of a triangle are angles placed sideways with each other.
For the given diagram attached, you can see interior angles of the triangle are <LMK, <MKL and <KLM
Among the listed interior angles, the angle that placed sideways with <JKM is <MKL
Learn more on interior angles here: https://brainly.com/question/24966296
PLEASE HELP Question 1(Multiple Choice Worth 4 points) (08.03)A system of equations is given below: y = –2x + 1 6x + 2y = 22 Which of the following steps could be used to solve by substitution? 6x + 2(−2x + 1) = 22 −2x + 1 = 6x + 2y 6(−2x + 1) + 2y = 22 6(y = −2x + 1) Question 2(Multiple Choice Worth 4 points) (08.03)Solve the system of equations and choose the correct answer from the list of options. d + e = 15 −d + e = −5 Label the ordered pair as (d, e). (0, 0) (10, −5) (5, 10) (10, 5) Question 3(Multiple Choice Worth 4 points) (08.03)A set of equations is given below: Equation H: y = −x + 2 Equation J: y = 3x − 4 Which of the following steps can be used to find the solution to the set of equations? −x = 3x − 4 −x +2 = 3x −x + 2 = 3x − 4 −x + 1 = 3x + 2 Question 4(Multiple Choice Worth 4 points) (08.03)A set of equations is given below: Equation M: y = 3x + 4 Equation P: y = 3x + 7 Which of the following options is true about the solution to the given set of equations? No solution One solution Two solutions Infinite solutions Question 5(Multiple Choice Worth 4 points) (08.03)Solve the system of equations and choose the correct answer from the list of options. x + y = −3 y = 2x + 2 five over 3 comma 4 over 3 negative 5 over 3 comma negative 4 over 3 negative 3 over 5 comma negative 3 over 4 3 over 4 comma 3 over 5
Answers
Answer:
6x + 2(−2x + 1) = 22
Step-by-step explanation:
Answer: The answer is 6x + 2(−2x + 1) = 22
Use multiplication to solve the proportion.
9/5 = z/20
Answers
Answer:
36
Step-by-step explanation:
9/5 = z/20
First, we have to divide what we know
9/5 = 1.8
1.8 = z/20
Next, we have to multiply both sides of the equation by 20 to cancel out the division sign
1.8•20 = z/20•20
36 = z
Solve by the quadratic formula: x^2= 6x-4
Answers
Answer:
3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].
Step-by-step explanation:
x^2 = 6x - 4
x^2 - 6x + 4 = 0
Now, we can use the quadratic formula to solve.
[tex]\frac{-b\pm\sqrt{b^2 - 4ac} }{2a}[/tex], where a = 1, b = -6, and c = 4.
[tex]\frac{-(-6)\pm\sqrt{(-6)^2 - 4 * 1 * 4} }{2 * 1}[/tex]
= [tex]\frac{6\pm\sqrt{36 - 4 * 4} }{2}[/tex]
= [tex]\frac{6\pm\sqrt{36 - 16} }{2}[/tex]
= [tex]\frac{6\pm\sqrt{20} }{2}[/tex]
= [tex]\frac{6\pm2\sqrt{5} }{2}[/tex]
= 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex]
x = 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].
Hope this helps!