Answer:
156° and 24°
Step-by-step explanation:
Let it's supplementary angle be x.
So, the angle = (x - 132)°
As we know, sum of supplementary angles is 180°;
x + x - 132 = 180
2x = 180 + 132
2x = 312
x = 312/2
x = 156°
(x-132)° = (156-132)° = 24°
Hence, the angles are 156° and 24°.
need please solving for x
Answer:
x = 15
Step-by-step explanation:
Corresponding sides of similar shapes are proportional to each other. Thus:
(10 + 2)/10 = (x + 3)/x
12/10 = (x + 3)/x
Cross multiply
12*x = (x + 3)*10
12x = 10x + 30
12x - 10x = 30
2x = 30
x = 30/2
x = 15
can someone pls help me
Answer:
arc EFC = 237°
Step-by-step explanation:
arc DEF = 140°
arc EF = 140° - 83° = 57°
arc DC = arc FG
arc DC = (360° - 140° - 140°)/2 = 40°
arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°
Find the exact value of cos (11pi/8)
Thank you!! I will mark brainliest!!
The exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].
What is the exact value of trigonometric function?The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers. These values are also called analytic values of trigonometric functions or trigonometric values of special angles.
What is trigonometric function?The trigonometric functions are also called the angle functions, which relates the angles and the ratios of the sides of a right angle triangle.
According to the given question.
We have a trigonometric function
[tex]cos(\frac{11\pi }{8} )[/tex]
We have to find the exact value of the above trigonometric function.
since,
[tex]\frac{11\pi }{8}[/tex] can be written as [tex](\pi +\frac{3}{8\pi } )[/tex]
[tex]\implies cos(\frac{11\pi }{8} ) = cos(\pi +\frac{3}{8}\pi )[/tex]
And we know that,
Cos(π + θ) = -cosθ
Because, π + θ lies in third quadrant and in third quadrat cos gives negative values.
Also,
[tex]cos\frac{\alpha }{2} = \pm\sqrt{\frac{1+cos\alpha }{2} }[/tex] ....(i)
Therefore,
[tex]cos(\pi +\frac{3}{8} \pi )[/tex]
[tex]= -cos(\frac{3}{8} \pi )[/tex]
[tex]= -cos(\frac{3}{2(4)} \pi )[/tex]
[tex]= -\sqrt{\frac{1+cos\frac{\pi }{4} }{2} }[/tex]
[tex]= -\sqrt{\frac{1+\frac{1}{\sqrt{2} } }{2} }[/tex]
[tex]= -\sqrt{\frac{1+\frac{\sqrt{2} }{2} }{2} }[/tex]
[tex]= -\sqrt{\frac{2+\sqrt{2} }{4} }[/tex]
Hence, the exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].
Thus, option A is correct.
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PLEASE ANSWER ASAP FOR BRAINLEST, REALLY EASY QUESTION!!!!!!!!!!!!!!!!!!!!!!!
Answer: 3.2%
Step-by-step explanation: i searched it up
What is the value of x. Please explain how you came to your answer (my other question is worth less and has a scam answer on it :(!!!)
Answer:
Step-by-step explanation:
Solve for x, show work!
Answer: x=3
Step-by-step explanation:
One of the properties of diagonals of a rectangle is that they bisect each other, meaning that four segments are equal.
For example, in this question, according to the property, AE, CE, DE, BE will be equal.
Solve:
AE=CE
AE+CE=AC
CE+CE=AC
DB=AC
DB=2CE
(18)=2(4x-3)
18=8x-6
18+6=8x-6+6
24=8x
24/8=8x/8
x=3
Hope this helps!! :)
Please let me know if you have any questions
Solve for f(2)
f(x)=2x-4
f(2)=?
Answer:
0
Step-by-step explanation:
Plug 2 in for x
[tex]2(2) -4[/tex]
Simplify
[tex]4-4[/tex]
[tex]=0[/tex]
Find the lateral area, surface area and volume of the cube
Answer:
Lateral Area = 13 x 13 x 4 = 676 ft²
Surface area = 13 x 13 x 6 = 1014 ft²
Volume = 13 x 13 x 13 = 2197 ft³
42 - 5z + 3(x + y), when x=4, y=9, z=7
Answer:91
Step-by-step explanation: 42 - 5(7) (4+9)
5*7=35
42-35= 7
(4+9)=13
7(13)= 91
The value of expression,42 - 5z + 3(x + y) at x=4, y=9, z=7 will be 46.
What is a mathematical expression?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.
It is given that the expression is,42 - 5z + 3(x + y)
We have to find the value of the expression at x=4, y=9, and z=7.
The value of the expression is obtained by putting the values,
=42 - 5z + 3(x + y)
=42-5(7)+3(4+9)
=42-35+3(13)
=42-35+39
=46
Thus, the value of the expression will be 46.
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PLEASE HELP ME PLEASE!
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answer:
c is the anser
Step-by-step explanation:
what is the slope of the line shown?
Ellie puts 35 quarter into stacks with the same number of quarter in each stack
Answer:
Ellie can make eight stacks of quarters with four quarters in each stack
Step-by-step explanation:
Which choice includes all of the solutions to 2x2 + x – 3 = 0 by factoring
A. 1
B. 3, –1/2
C. –1, 3/2
D. 1, –3/2
Answer:either c or b
Step-by-step explanation: to be honest I searched up
The solution of Equation 2x² + x -3 =0 by factoring is 1 and -3/2.
What is Factorization?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
We have the equation 2x² + x -3 =0
Now, factorizing the above equation using splitting the middle term we get
2x² + x -3 =0
2x² + 3x - 2x -3 =0
x( 2x + 3) - (2x+ 3)= 0
(2x + 3)(x - 1)= 0
x = -3/2 or 1.
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Please help me i will give you 50 points if you do
Answer:
6(4X-1) = 24X -6 , (2 . 12X ) - (2 . 3) .
24X+6 = (6 . 4X) + (6 . 1) , 6( 4X + 1 ) .
(4 . 6X) - (4 . 2) = 24X + 8 , 4(6X + 2) .
Step-by-step explanation:
Hope it was helpful dear , good luck ^^
PLEASEEE HELP PLS ASAPPP GIVING BRAINLIEST!!!!
Answer:
50 is the answer brainliest?
Step-by-step explanation:
Giving brainly to the correct answer!
Answer: A
Step-by-step explanation:
Well four weels in every car so it’s 4 times cars (a)
4 times A=W
Step-by-step explanation: im smart also if u do multiply it by a by 4 it equals W
In which set does −17/3 belong?
Answer:
Rational NumbersStep-by-step explanation:
As,Whole Numbers-
All the natural numbers that is 1,2,3..... and 0 are called whole numbers.
Integers-
All the negative numbers that is -1, -2, -3..... and positive numbers that is 1,2,3...... and 0 are called integers.
Rational Numbers-
All the fractional numbers like, 7/8, 3/7 ....., non fractional numbers like, -17/3 , -6/8 ..... and all integers are called rational numbers.
Hence,
As per the description -17/3 is a rational number.
Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per serving. We want to test this hypothesis and to see whether we believe that is true or that the mean amount of fiber is significantly different from 3 grams. A random sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the sample standard deviation in the amount of fiber, s = .8 grams.
Assume that software has determined the p-value to be.02.
What would your decision be on this hypothesis test if everything is the same except that we change the level of significance for the test to.01?
Fail to reject the null hypothesis at the 1% level of significance.
Reject the null hypothesis at the 1% level of significance,
Answer:
The calculated value t = 2.5>2.326 at 0.01 level of significance
The null hypothesis is rejected at a 0.01 level of significance.
Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving
Step-by-step explanation:
Step(i):-
Given that the average of dietary fiber per serving μ = 3 grams
Given that the mean of the sample x⁻ = 3.4 grams
Given that the standard deviation of the sample (S) = 0.8 grams
Level of significance = 0.01
Critical value = 2.326
Step(ii):-
Null hypothesis: H₀: μ = 3 grams
Alternative Hypothesis: H₁: μ ≠ 3 grams
Tets statistic
[tex]t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{3.4-3 }{\frac{0.8}{\sqrt{25} } }[/tex]
t = 2.5
The calculated value t = 2.5>2.326 at 0.01 level of significance
The null hypothesis is rejected at a 0.01 level of significance.
Final answer:-
Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving
What is the slope-intercept equation of the line going through (3, -6) and
(1,2)?
A. y=-4x+ 2
B. y = -4x + 1
O c. y-2 = -4(x - 1)
O D. y=-4x + 6
Hi there!
[tex]\large\boxed{D. \text{ }y = -4x + 6}[/tex]
To derive an equation given the points, we can use the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}}[/tex]
Plug in the corresponding coordinates:
[tex]slope = \frac{-6-2}{3-1}[/tex]
Simplify:
[tex]slope = \frac{-8}{2} = -4[/tex]
Therefore, we have:
y = -4x + b
Plug in the x and y values for a coordinate to solve for b:
2 = -4(1) + b
2 = -4 + b
b = 6
The equation is:
y = -4x + 6. The correct answer is D.
CAN SOMEONE HELP PLEASE GIVE ME THE RIGHT ANSWER :(
Answer:
B
Step-by-step explanation:
At a furniture store, the employees earn a 2.5% commission on every sale they make. If Ginny made $8850 in sales one week, how much did she earn in commission?
help please :( 100 points
Answer:
She earned 221.25 in commission
Step-by-step explanation:
2.5% of 8850 is 221.25
On a survey of students at CAMS, 75% of students said
they preferred Soda instead of Juice.
6. If 420 students preferred Soda, how many students
did they survey in total?
Answer:Total number of students surveyed =560
Step-by-step explanation:
Number of students who preferred soda =420
Percentage of students who preferred Soda =75%
Percentage of students who preferred juice =100-75%=25%
Using the formula,
Percentage of students who preferred Soda x total number of students surveyed =Number of students who preferred soda
Therefore we have that
total number of students surveyed =Number of students who prefeerd juice/Percentage of students who preferred Soda
Total number of students surveyed =420/75%
=560
2 1/2 ft x 1/4 ft
please help
Step-by-step explanation:
0.0580644 m2 hope this helps
Step-by-step explanation:
Here,
[tex] \frac{21}{2}ft \: \times \: \frac{1}{4} ft[/tex]
[tex] = \frac{21}{8} {ft}^{2} [/tex]
OR :
[tex]2 \frac{5}{8} {ft}^{2} \: \: also \: \: \: 2.625 {ft}^{2} [/tex]
Help me with this question. Thx!
A fundraiser was able to raise money to buy food for the food pantry.
They collected $34.99, $38, $12.30, and $45 last week.How much did they
collect in all?
Answer:
https://youtu.be/cqF6M25kqq4
Step-by-step explanation:
HELP NEED SOON!! A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were
defective. A store clerk generates random numbers to simulate a random sample of this shipment. The
clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through
5,000 represent working MP3 players. The results are given.
4,942 368 110 4,758 4,452 610 773 171 460 2,699
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.
Answer:
2?
Step-by-step explanation:
From my understanding, all numbers 300 and below represent defective mp3s, so there's two.
Howard invested $2,500 in a local bank at a rate of 1.25% for 5 years. How
much interest will Howard earn in 5 years?
please help
Find the missing side of this right
triangle.
X
7
12
X
= [?]
Answer:
√193
Step-by-step explanation:
pathagorus theorem:
[tex]( {hyp})^{2} = ( {base)}^{2} + ( {perp)}^{2} [/tex]
hyp=x , base= 12 , perp= 7
subtitles all values in formula:
we get
x^2 = 12^2 + 7^2
x^2 = 144 +49
x= √193
The missing side of this right triangle is, 13.90 units.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The base of the triangle = 12
The perpendicular distance of the triangle = 7
Now, We know that;
Pythagoras theorem stated as;
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ x² = 12² + 7²
⇒ x² = 144 + 49
⇒ x² = 193
⇒ x = √193
⇒ x = 13.90
Thus, The missing side of this right triangle is, 13.90 units.
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Find the perimeter of the polygon with the vertices G(2, 4), H(2,−3), J(−2,−3), and K(−2, 4).
Answer:
22 units
Step-by-step explanation:
Graphed to solve.
Width:
The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.
Length:
The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.
14 + 8 = 22