If cos8x = 13/36 find the value of cos4x.
The value of cos 4x from the given identity is 0.999
Trigonometry identityGiven the cosine identity
cos8x = 13/36
Determine the value of x
8x = arccos(13/36)
8x = 0.36111
x = 0.36111/8
x = 0.04514
Determine the value of cos4x
cos4x = cos4(0.04514)
cos4(0.04514) = 0.999
Hence the value of cos 4x from the given identity is 0.999
Learn more trig identity here; https://brainly.com/question/7331447
Conjecture: The product of the lengths of the two legs of a right triangle is equal to the product of the lengths of the hypotenuse and the altitude.
Is this true? Use Geogebra to help you create a figure to use in support of your conclusion. Insert a screenshot and show all of your calculations.
Hi there!
The answer is True.
(For Proof and explanation, please check the attached picture)
[tex]Have \: a \: great \: day! \: :)[/tex]
Solve for X (Trigonometry)
Answer:
7.0
Step-by-step explanation:
When doing trigonometry, remember SOH-CAH-TOA...
Sine : Opposite/Hypotenuse
Cosine : Adjacent/Hypotenuse
Tangent : Opposite/Adjacent
In this figure, we are given the measure of a 23° angle, and two sides that are opposite of the angle, and the hypotenuse.
This means we need to use sine:
[tex]sin(23)=\frac{x}{18}[/tex]
Multiply both sides by 18:
[tex]18sin(23)=x[/tex]
[tex]18(0.391)=x\\x=7.038\\x\approx7.0[/tex]
Imagine telling a friend about your favorite coffee and donut shop. Your friend asks how much it charges for a cup of coffee and a doughnut. While you can't remember how much each one costs individually, you do remember that's the last time you ordered one coffee and two donuts, your bill was $7.00. And today, when you bought two coffees and three Donuts, your bill came to $12.00.
Write a system of linear equations to represent the above situation.
Answer:
c + 2d = $7.00
2c + 3d = $12.00
Step-by-step explanation:
Hello!
Let:
c = # of coffeesd = # of donuts1 coffee and 2 donuts cost $7.00
This can be repesented by 1c + 2d = $7.00, or c + 2d = $7.00
2 coffees and 3 donuts cost $12.00
This can be represented by 2c + 3d = $12.00
So, the system is :
c + 2d = $7.00
2c + 3d = $12.00
Can I please help me with this math question
Answer:
y =
-4
-3
-2
-1
0
2/3 x 1/4 please answer NOW ( brainliest to whoever answers first!!!
Answer:
1/6
Step-by-step explanation:
:
The ratio of Amber's age to her brother Zach's age is 1 : 2. Find the
missing age.
6. Amber is 10; Zach is ?
7. Zach is 26; Amber is?
What's 30cm converted into inches?
Answer:
30cm=11.811in
Answer:
11.811
Step-by-step explanation:
divide the length value by 2.54
Andrew measured the floor on his storage unit, which is rectangular. It is 4 meters wide and 5 meters from one corner to the opposite corner. How long is the storage unit
Answer:
3
Step-by-step explanation:
I need help with the question below in the picture Please.
Answer:
the answer would be C
Step-by-step explanation:
80 points help meez In the diagram, ΔUVW~ΔXYW. Use similarity criteria for triangles to determine determine the height of the tree. Then fill in the blank:
h = _____ ft (Answer with numbers only.)
Answer:
look at the picture i have sent
4 feet wide and 8 feet tall a manufactur wants to use a scale factor of 1.5 to englarge a window. what will the area of the window be after it is enlarged
Answer:
72 square feet
Step-by-step explanation:
[tex]4*1.5=6[/tex]
[tex]8*1.5=12[/tex]
[tex]6*12=72[/tex]
An opinion poll asked a random sample of high school couples in the United States whether they believe they will marry their high school sweetheart. A researcher believes more than 25% of high school couples believe they will marry. Which null and alternative hypotheses should be used to test this claim? (4 points)
H0: p = 0.25, Ha: p > 0.25
H0: p = 0.25, Ha: p < 0.25
H0: p = 0.25, Ha: p ≠ 0.25
H0: p > 0.25, Ha: p = 0.25
H0: p ≠ 0.25, Ha: p > 0.25
The correct hypothesis for the test made in this problem are given by:
H0: p = 0.25, Ha: p > 0.25.
What are the hypothesis test?At the null hypothesis, we test if the researcher is not correct, that is, if the proportion is of 25%, hence:
[tex]H_0: p = 0.25[/tex]
At the alternative hypothesis, we test if there is enough evidence for the researcher's claim, that is, if the proportion is greater than 25%, hence:
[tex]H_a: p > 0.25[/tex]
Hence the correct option is:
H0: p = 0.25, Ha: p > 0.25
More can be learned about hypothesis tests at https://brainly.com/question/16313918
What is the rule for the function that is graphed?
y = 2 x + 2
y = 2 x – 3
y = 3 x + 1
y = 3 x – 4
Answer: y = 3x — 2
Step-by-step explanation:
what is the constant of porportionality of the relationship shown in the graph.
Answer: The answer is 3
Step-by-step explanation:
The constant of proportionality of the relationship shown in the graph is 3 and this can be determined by using the two-point slope form of the line.
Given :
The graph of a straight line is given.
The following steps can be used in order to determine the constant of proportionality of the relationship shown in the graph:
Step 1 - The two-point slope form of the line can be used in order to determine the constant of proportionality of the relationship shown in the graph.
Step 2 - The two-point slope form of the line is given below:
y - y1 / x - x1 = y2 - y1 / x2 - x1
where (x1, y1) and (x2, y2) points on the line.
Step 3 - So, substitute (1,3) and (2,6) in the above equation.
y - 3 / x - 1 = 6 - 3 / 2 - 1
Step 4 - Simplify the above equation.
(y - 3) = 3(x - 1)
y - 3 = 3x - 3
y = 3x
So, the constant of proportionality of the relationship shown in the graph is 3. Therefore, the correct option is B).
For more information, refer to the link given below:
brainly.com/question/2564656
Hope this helps
~"Gamer"~
In how many ways can first, second, and third prizes be awarded in a contest with 590 contestants?
Answer:
204,335,880 way's
Step-by-step explanation:
590 ways for the 1 st contestant
589 ways for the 1 st contestant
588ways for the 1 st contestant
590×589×588
204,335,880 way's
Solve the following system of equations
Y= -2x – 3
4y + x =16
Answer:
(-4,5)
*View attached graph*
Step-by-step explanation:
y = -2x - 3
4y + x = 16
4y + x = 16
4(-2x - 3) + x = 16
-8x - 12 + x = 16
-7x - 12 = 16
+12 + 12
-7x = 28
/-7 /-7
x = -4
4y + x = 16
4y + (-4) = 16
4y - 4 = 16
+ 4 + 4
4y = 20
/4 /4
y = 5
(x,y) -> (-4,5)
Hope this helps!
PLEASE HELP WORTH EXTRA POINTS!!
Dilate triangle A by a scale factor of 1/3, translate it three units up and two units to the right, and rotate it 90 degrees clockwise about the origin.
Are the triangles similar or congruent and explain why?
Answer:
the triangle has 1/3 so the area of parallelogram is equal
Solve and write your answer as a fraction
Step-by-step explanation:
please mark me as brainlist please
Solve the quadratic equation numerically (using tables of x- and y- values). (x +2) (x + 3) = 12
sorry bro i let my brother try to solve random problems on here
Answer:
[tex]x=-6,\: x=1[/tex]
Step-by-step explanation:
[tex](x+2)(x+3)=12\\\\x^2+5x+6=12\\\\x^2+5x-6=0\\\\(x+6)(x-1)=0\\\\x=-6,\: x=1[/tex]
Does the triangle area only work on right triangles.
Answer:
While a vast majority of triangle theorems are exclusively for right triangles, the area formula(bh/2) works for any triangle.
Hey I could use some help with this asap. Thank you. Will be marked.
Answer:
top left
Step-by-step explanation:
2.5=2 1/2=5/2
2 over 5 up
top left
Find the length of the hypotenuse of an isosceles right triangle of area 72cm square
Answer:
Step-by-step explanation:
The base and height will be the two equal sides of the isosceles right triangle.
⇒ b = h = x cm
[tex]Area \ of \ triangle = \dfrac{1}{2}bh[/tex]
[tex]\dfrac{1}{2}bh = 72 \ cm^{2}[/tex]
[tex]\dfrac{1}{2}*x*x=72\\\\\\\dfrac{1}{2}*x^{2}=72\\\\\\x^{2}=72*2\\\\x^{2}=144\\\\Take \ square \ root,\\\\\sqrt{x^{2}}=\sqrt{144}\\\\x = \sqrt{12*12}\\\\x = 12 cm[/tex]
Hypotenuse² = b² + h²
= 12² + 12²
= 144 + 144
= 288
hypotenuse = √288
= 16.97 cm
Answer:
[tex]\large{\boxed{\sf Hypotenuse = 16.97\ cm }}[/tex]
Step-by-step explanation:
Here it is given that the area of a right isosceles ∆ is 72 cm² . Let us assume that each equal side is x . Therefore the height and the base of the ∆ will be same that is x .
[tex]\sf\qquad\longrightarrow Area =\dfrac{1}{2}(base)(height)\\ [/tex]
[tex]\sf\qquad\longrightarrow 72cm^2=\dfrac{1}{2}(x)(x)\\[/tex]
[tex]\sf\qquad\longrightarrow x^2= 144cm^2\\ [/tex]
[tex]\sf\qquad\longrightarrow x =\sqrt{144cm^2}\\ [/tex]
[tex]\sf\qquad\longrightarrow \pink{x = 12cm }[/tex]
Hence we may find hypotenuse using Pythagoras Theorem as ,
[tex]\sf\qquad\longrightarrow h =\sqrt{ p^2+b^2} [/tex]
Here p = b = 12cm ,[tex]\sf\qquad\longrightarrow h =\sqrt{ (12cm)^2+(12cm)^2}\\[/tex]
[tex]\sf\qquad\longrightarrow h =\sqrt{144cm^2+144cm^2}\\[/tex]
[tex]\sf\qquad\longrightarrow h =\sqrt{288cm^2}\\[/tex]
[tex]\sf\qquad\longrightarrow \pink{ hypotenuse= 16.97cm }[/tex]
Hence the hypotenuse is 16.97 cm .
Anya buys some avocados that cost $1.50 each. What is the total cost of her
purchase?
O A. = 1.5+ c
O B. n=1.50
C. c = 1.5n
D. C=n divide 1.5
A dozen cupcakes cost $36. What is the rate, and the unit rate?
Answer:
A unit rate has a denominator of 1 unit when the rate is written as a fraction. To write a rate as a unit rate: divide the numerator and the denominator of the rate by the denominator. Example #1: A rate compares two quantities of different units. Each part of the rate must be labeled!
Step-by-step explanation:
Sana maka tulong
3x^2-5x-4+x^3 in standard form
Answer:
x^3 +3x^2 - 5x - 4
Step-by-step explanation:
Have to rearrange the terms into the correct format from biggest exponent to no exponent. Basically!
Which absolute value inequality is modeled by this graph?
A.
y < |x − 2 | − 2
B.
y > |4x + 2| − 2
C.
y > |2x − 4| − 2
D.
y < |3x − 6| − 2
Answer: Choice D
y < |3x − 6| − 2
============================================================
Explanation:
Writing y < |3x − 6| − 2 is the same as y < 3|x − 2| − 2 when factoring out the GCF from the absolute value brackets.
Let's look at a breakdown of each piece of y < 3|x − 2| − 2
The 3 out front means "vertically stretch by a factor of 3".The x-2 means we shift 2 units to the right.The -2 at the very end means "shift 2 units down"If we started with the parent V shaped graph of y = |x|, and applied those transformations listed above in the bullet points, then we'd get the boundary shown in the graph. The boundary is a dashed line to indicate "points on the boundary are NOT part of the shaded solution set". If we had an "or equal to" then we would include boundary points with a solid boundary line.
We shade below the dashed boundary to complete the shaded region for y < |3x − 6| − 2 aka y < 3|x − 2| − 2
find the area of this triangle
Answer:
[tex]54 \: {in}^{2} [/tex]
Step-by-step explanation:
Area calculation:
[tex] \frac{9 \times 12}{2} = 54 \: {in}^{2} [/tex]
Answer:
A = 54 in^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 (12)(9)
A = 54 in^2
Please solveeeeeeee!
Answer:
D. -14
Step-by-step explanation:
Add 2 to both sides = -3/7b=6
Multiply both sides by 7 = -3b=42
Divide 42 by -3 =-14
Hope this helps!
What is the factorization of the polynomial below?
5x2 - 35x + 60
Answer:
[tex]5(x-3)(x-4)[/tex]
Step-by-step explanation:
[tex]5x^2-35x+60[/tex]
Start by factoring out a 5:
[tex]5(x^2-7x+12)[/tex]
We need to find two integers that have a product of 12, and a sum of -7:
(-3)(-4)=12
-3-4=-7
We can split -7x into -3x and -4x
[tex]5(x^2-3x-4x+12)[/tex]
Factor each half separately:
[tex]5[x(x-3)-4(x-3)][/tex]
Since x and -4 are both being multiplied by x-3, we can combine them:
[tex]5(x-3)(x-4)[/tex]
