Answer:
1) x = 8
2) ∠RPS = 36°
Step-by-step explanation:
GIVEN :-
∠QPS = 180°∠QPR = 7x + 88∠RPS = 3x + 12TO FIND :-
Value of xMeasure of ∠RPSFACTS TO KNOW BEFORE SOLVING :-
In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.
PROCEDURE :-
1)
Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.
⇒ ∠QPR & ∠RPS are linear pair.
⇒ ∠QPR + ∠RPS = 180°
⇒ 7x + 88 + 3x + 12 = 180°
⇒ 10x + 100 = 180
⇒ 10x = 180 - 100 = 80
⇒ x = 80/10 = 8
2)
x = 8. So,
∠RPS = 3×8 + 12 = 24 + 12 = 36°
Find The sum of the first 10 terms 8,20,32,44
Answer:
S₁₀=620
Step-by-step explanation:
This is an arithmetic sequence with a common difference of d=12
The formula for an arithmetic series is Sₙ=(n/2)(a₁+aₙ) where aₙ is the nth term and a₁ is the first term.
We know that a₁=8 and d=12 where the 10th term would be a₁₀=8+(10-1)12=116.
Therefore, the sum of the first 10 terms of the arithmetic series is S₁₀=(10/2)(8+116)=(5)(124)=620
find the common ratio of the geometric sequence 20 40 80
Answer:
2
Step-by-step explanation:
Solve
3x + 7 = 1
please show full working out
Answer:
-2 is answer
plz plz plz plz mark me brainliest
Step-by-step explanation:
* 3x + 7 =1
or 3x = 1 - 7
or 3x = -6
or x = -6/3
or x = -2
Using the GCF factor the given expression: 21xy + 14y
Answer:
7y(3x+2)
you take out the 7y from both sides
The attendance at twenty-five high school football games was: 250, 400, 350, 750, 200, 1000, 1200, 800, 600, 900,
400, 300, 500, 800, 650, 450, 550, 750, 350, 600, 1250, 1450, 1500, 800, and 950.
Select all the samples whose mean attendance is above the mean attendance of the population
250, 400, 350, 750, 200
1000, 1200, 800, 600, 900
400, 300, 500, 800, 650
450, 550, 750, 350, 600
1250, 1450, 1500, 800, 950
Answer:
B and d
Step-by-step explanation:
Brainliest pls.
The component form of a vector is (-7.765,28.978) What is the direction angle for the vector measured counterclockwise from the positive x-axis?
Answer:
The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.
Step-by-step explanation:
Let be [tex]P(x,y)[/tex] a point containing the components of a vector, the direction angle for the vector regarding origin ([tex]\theta[/tex]), in sexagesimal degrees, is determined by the following formula:
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (1)
Where:
[tex]x[/tex] - x-coordinate of the point P.
[tex]y[/tex] - y-coordinate of the point P.
Let consider that [tex]P(x,y) = (-7.765, 28.978)[/tex]. After a quick inspection, we note that vector stands in the 2nd Quadrant ([tex]x < 0 , y > 0[/tex]). Then, the direction of the angle with respect to the positive x semiaxis is:
[tex]\theta = \tan ^{-1} \left(\frac{28.978}{-7.765} \right)[/tex]
[tex]\theta \approx 105.001^{\circ}[/tex]
The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.
Angle the given vector makes with the positive x-axis when measured counterclockwise is required.
The direction of the angle for the vector measured counterclockwise from the positive x-axis is 105°. The calculations have been shown below by using the concepts of vector.
VectorsThe given vector is (-7.765,28.978)
The angle is found by the formula
[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]
Here,
y = 28.978
x = -7.765
Substituting the given values we get
[tex]\theta=\tan^{-1}\dfrac{28.978}{-7.765}=-74.99=-75^{\circ}[/tex]
So, the required angle is
[tex]180-75=105^{\circ}[/tex]
Learn more about vectors:
https://brainly.com/question/25811261
Help plz
answer 15 points
Answer:
A
Step-by-step explanation:
-9 must be a bigger number then x and it is a greater then not a greater or equal to sign menaing the circle will be empty and the blue part or x will be to the left of -9
Answer:
A
Step-by-step explanation:
Please help thank you !
Answer:
1.) B
2.) A
3.) B
Step-by-step explanation:
Find the rate of change for the interval [5,15]
Explain the steps on how u got the answer
••••••••••••••••••
Answer:
volume of cyclinder=πr²h
=3.14×2²×3=37.68cm³
rectangular prism volume=6×5×7
=210cm³
total volume=37.68+210=247.68cm³
Step-by-step explanation:
1) Cylinder
d = 4 cm
h = 3 cm
r = d : 2
= 4 : 2
= 2
V. Cylinder = πr²h= 3.14 × 2² × 3
= 37.68 cm³
2) Rectangular prism
l = 6 cm
w = 5 cm
h = 7 cm
V = l . w . h= 6 . 5 . 7
= 210 cm³
3) Total Volume
V. Cylinder + V. Rectangular prism= 37.69 + 210
= 247.68 cm³
#CMIIWI need help pls hurrrryyyyyyyy
Answer: 48
Step-by-step explanation:
30-2 is 28 and 4 times 4 times 5 is 80 and 2 times 2 is 4 and 80 divided by 4 a 20 and 28 plus 29 is 48.
help..................................
Answer:
20
Step-by-step explanation:
becauseit is just below 30
PLEASE HELPPPP
Find the product or type
"impossible"
2
[3 1 -6
0
1]
[?]
Answer:
0
Step-by-step explanation:
(3 * 2) + (1 * -6) + (1 * 0)
6 + -6 + 0 = 0
he red figure is similar to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure?
Dilate the triangle with respect to the origin using a scale factor of 12 and then translate it 4.5 units down and 5 units right.
Dilate the triangle with respect to the origin using a scale factor of 2 and then translate it 6 units down and 8 units right.
Dilate the triangle with respect to the origin using a scale factor of 12 and then translate it 6 units up and 8.5 units left.
Dilate the triangle with respect to the origin using a scale factor of 2 and then translate it 9 units up and 9 units left.
Answer:
Step-by-step explanation:
dilate the triangle with respect to the origin using a scale factor of 2 and then translate it 6 units down and 8 units right.
Please help me out on this!!
Answer:
12.68
Step-by-step explanation:
It’s not 15 read the text
Answer:
B
Step-by-step explanation:
I think it is B because 6 times 5 = 30. So 30 times 1/2 = 60 hope this is correct and it helped and if it is not correct try C and can i get a brainliest
What is the volume of the pyramid in the diagram?
25 cm
h = 15 cm
15 cm
20 cm
1,500 cm
2,500 cm
Answer:
this question answer is 1500cm^3
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark (7) for the fraction bar.
10
(3,7)
Answer here
-10
10
(2, -1)
-10
Answer:
([tex]\frac{5}{2}[/tex], 3)
Step-by-step explanation:
I got 5/2 as my x variable and 3 for my y variable to being the midpoint. In which I added both my x variables provided ( 3 and 2 ) and then I divided them by two to get half of that (since you are looking for in between those two digits technically so you are wanting to find the midpoint or the middle of that line segment). I also did the same with the two y variables as well which were 7 and -1, then I divided both by two to get the variable 3.
Answer:
5/2, 3
Step-by-step explanation:
that should be your answer (hopefully)
The smith family is shopping for a new car
Answer:
Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.
Step-by-step explanation:
Find the measure of the angle indicated by the red arrow.
Calcula el área de un círculo con circunferencia de 37.68 unidades.
Answer:
Tu respuesta
Step-by-step explanation:
1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/
what is the range of f?
Answer:
Range is [tex]-5 \le y \le 5[/tex]
Range in interval notation is [-5, 5]
==========================================================
Explanation:
Refer to the diagram below. As marked in red, the smallest y value is y = -5. The largest y value is y = 5. The range is the set of y values between these endpoints, including both endpoints.
We can say the range is [tex]-5 \le y \le 5[/tex]
In interval notation, we write that as [-5, 5]. The use of square brackets tells the reader that the endpoints are included as part of the range.
What is the area of this triangle, in square units? Explain or show your reasoning.
Answer:
Half of the base multiple by the height
In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are:_____.
a. 14 and 255.
b. 255 and 14.
c. 13 and 240.
d. 14 and 240.
Answer:
d. 14 and 240.
Step-by-step explanation:
Given that
The regression model involving 14 independent variables and 255 observations
We need to find out the numerator and denominator freedom degrees
k = 14 regression variable
= n - k - 1
= 255 - 14 - 1
= 240 residuals
df=14,240
Now The degrees of freedom for F -critical is
F_{k,n-k-1}=F_{14,240}
So, The df of the numerator is 14 and df of the denominator is 240
Help please let me know if I’m wrong or right pls!!!!
Answer:
you are correct! nonlinear
Step-by-step explanation:
when this equation is graphed it forms a curved line-- making it non linear :)
Helen bought 1 pint of fruit juice. What is the quantity of fruit juice bought by her in fluid ounces?
A. 10 fl. oz.
B. 12 fl. oz.
C. 16 fl. oz.
D. 20 fl. oz.
Answer:
C. 16 fl. oz.
Step-by-step explanation:
hope this helps.
Convert 85 feet per day into miles per year.
Answer:
85 feet per day = 5.879846 miles per year.
Answer:
5.88 miles
Step-by-step explanation:
85 x 365 =31,025 feet per year
31025/5280 = 5.88 miles
Simplify.
2x120x20
0 4x²/5
4x" 5
2x "/10
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4x ^ 11 sqrt 5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4x^11 [tex]\sqrt{5}[/tex]
Step-by-step explanation:
You can simplify the 20 inside of the radical by finding its prime factors. 20 has 3 prime factors: 5, 2, and 2. Since the 2 occurs twice, we can cancel out those 2s in the 20 itself and put a singular 2 outside of the radical. It is essentially turning [tex]\sqrt{20}[/tex] into 2[tex]\sqrt{5}[/tex]. Since we now have simplified that 20, the entire equation is now 4x[tex]\sqrt{5x^2^0}[/tex]. We can root x^20 to get x^10, and [tex]\sqrt{5}[/tex] stays that way. The entire equation is now 4x[tex]\sqrt{5}[/tex]x^10, which can be simplified to [tex]4x^1^1\sqrt{5}[/tex].
A landscaper is constructing a rectangular garden with an area of 120 square feet. He draws the garden on paper and represents the length as (x-3) and the width as (x-7). Find the length and the width of the garden.
Options:
1. 3.00 feet
2. 4.00 feet
3. 0.65 feet
4. 4.65 feet
5. 7.65 feet
find the area of the shaded region of the large circle. give your answer to 1 decimal place.
Answer:
Step-by-step explanation:
area = [tex]\pi r^{2}[/tex]
so the area of the circle is
[tex]8^{2} \pi[/tex] which equals 64pi
BUT we have the white circles so we need to find their areas and subtract it
THE WHITE CIRCLES:
diameter = 4 so radius = 2
[tex]\pi 2^{2}[/tex] which equals [tex]4\pi[/tex]
which you double since theres TWO white circles so = [tex]8\pi[/tex]
so 64[tex]\pi -8\pi =56\pi[/tex]
[tex]56\pi =175.00[/tex]