(05.02) Find the measure of angle x in the figure below:
55
45
80
55
100

Answer: the answer is 14

Step-by-step explanation: i hope this helps :)

The value of JY is 14

According to the problem,

Y is between points J and A.

∴ JY = ( JA - YA) = (17 - 3) = 14

∴ JY = 14

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C. polygons!!

the polygons it is made of are called faces. the edges of the faces are called the edges of the polyhedron

Required Formula

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

Part A

Given: base length: 6m, half base: 3m, angle: 65°, let hypotenuse: h

Hence solve,

[tex]\rightarrow \sf cos(x) = \dfrac{a}{h}[/tex]

[tex]\rightarrow \sf cos(65) = \dfrac{3}{h}[/tex]

[tex]\rightarrow \sf h = \dfrac{3}{cos(65)}[/tex]

[tex]\rightarrow \sf h =7.0986\ \approx \ 7.1 \ m[/tex]

The slant height is 7.1 meters when base length is 6 meter.

Part B

Given: base length: 9.6m, half base: 4.8m, angle: 65°, let hypotenuse: n

Hence solve,

[tex]\rightarrow \sf cos (x) = \dfrac{a}{n}[/tex]

[tex]\rightarrow \sf cos (65) = \dfrac{4.8}{n}[/tex]

[tex]\rightarrow \sf n = \dfrac{4.8}{cos (65)}[/tex]

[tex]\rightarrow \sf n = 11.357 \ \approx \ 11.4 \ m[/tex]

The slant height is 11.4 meters when base length is 9.6 meter.

Answer:

A)  7.1 m

B) 11.4 m

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

The slant height of the roof is the hypotenuse of a right triangle.

Considering the information given, use the cos trig ratio to determine the slant height.

A roof's base length is the distance from one corner of the roof to the other. Therefore, the base length of the given right triangle is half the roof base length.

Given:

Substituting the given values into the formula and solving for H:

[tex]\sf \implies\cos(\theta)=\dfrac{A}{H}[/tex]

[tex]\sf \implies\cos(65^{\circ})=\dfrac{3}{H}[/tex]

[tex]\sf \implies H =\dfrac{3}{\cos(65^{\circ})}[/tex]

[tex]\implies \sf H=7.1 \: m \: (nearest\:tenth)[/tex]

The slant height of the roof is the hypotenuse of a right triangle.

Considering the information given, use the cos trig ratio to determine the slant height.

A roof's base length is the distance from one corner of the roof to the other. Therefore, the base length of the given right triangle is half the roof base length.

Given:

Substituting the given values into the formula and solving for H:

[tex]\sf \implies\cos(\theta)=\dfrac{A}{H}[/tex]

[tex]\sf \implies\cos(65^{\circ})=\dfrac{4.8}{H}[/tex]

[tex]\sf \implies H =\dfrac{4.8}{\cos(65^{\circ})}[/tex]

[tex]\implies \sf H=11.4 \: m \: (nearest\:tenth)[/tex]

Answer:

The maximum amount of money the chemistry club can spend without going over their buget is $81.4 ... With a total of 6 hours their allowed to use the room for.

Step-by-step explanation:

$49 is our constant and will not change. 5.40 however will. Let's use variable h for the amount hours they can rent the room for. Now we can make an inequality;

49+ 5.40h < 86.80

5.40h < 86.80

5.4h< 37.8

h< 7

Now that we know h will have to be less than seven for the chemistry club to spend less than their buget we can find that 6 is the maxium amount of hours they can spend in the room while staying within their budget.

(This answer does not consider decimals or half hours)

Answer:

bro I'm so confused is this a trick ?

Answer: 16.8

Step-by-step explanation:

2:25 = X:210

210/25 = 8.4

Multiply 8.4 by 2

Answer:

See below

Step-by-step explanation:

π, pronounced as pi is the ratio between 2πr which is circumference to 2r which is diameter.

In word, π is circumference/diameter which has exact value of 3.14159... and it is also an irrational number too.

π is often used to be defined as 3, 3.14 or 22/7 [Keep in mind, these numbers are only approximation.] in some fields. In trigonometry, π is mostly used to refer as π radians or π rad which is equivalent to 180°.

Why do we need it? Because it’s useful in a field that requires rotation. If you notice, figure with circular base will always have π with it, the volume is an example.

In calculus, you need π to do solid of revolution method which is:

[tex]\displaystyle \large{V =\pi \int\limits^a_b {[f(x)]^2} \ dx }\\\\\displaystyle \large{V = \pi \int\limits^a_b {[g(y)]^2} \ dy}[/tex]

In trigonometry, you need it for measurement/angle.  

So anything that’s related to revolution, rotation or related to circle must require π at least.

In general life, you do not use it but this is mostly applied in engineering field and anything related to science that involves with circle or revolve.

Let me know if you have any questions!

Step-by-step explanation:

The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?

Original: y = √(x)

Reflected in the y-axis: y = √(-x)

Horizontally stretched by a factor of 2: y = √(-x/2)

Shifted 3 units up: y = 3 + √(-x/2)

And 1 unit left: y = 3 + √(-(x+1)/2)

The equation of the transformed function is y = (-5x)³.

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of modifying a shape's size or position.

we have, Function

y = x³

Scale factor = 1/5

Now, stretch the function horizontally by factor 1/5 then

y = (5x)³

Now, reflection of graph about y axis result change x to -x.

y = (-5x)³

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The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given that mean is 83%, standard deviation = 4.2%, for x = 81.8:

z = (81.8 - 83)/4.2 = -0.29

The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

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Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

(a) Check the graph given below.

(b) 9 is located to the right of -6

(c) complete the statement: 9 > -6

Answer:

7.6 ≤w

Step-by-step explanation:

Hey there!

In order to solve this inequality, you need to simplify the inequality like the following:

Subtract 3.4 from both sides

7.6 ≤w

This means that w is greater than or equal to 7.6

Answer:

[tex]\pi ^{3} *x^{4}[/tex]

Step-by-step explanation:

Simplifying using the exponent rule with the same base [tex]a^{n} *a^{m}[/tex]

[tex]=a^{n+m} :\pi ^{1+1+1} *\pi ^{1+1+1+1}[/tex]

Calculate the sum or difference: [tex]\pi^ {3} *x^{4}[/tex]

Answer: [tex]\pi^ {3} *x^{4}[/tex]

The solution of the given expression will be equal to ( -1 / 36 ).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution of the given expression will be:-

[tex]=[\dfrac{2}{7}\times \dfrac{4}{9}]-\dfrac{1}{4}+[\dfrac{2}{7}\times \dfrac{1}{3}][/tex]

[tex]= \dfrac{8}{63}-\dfrac{1}{4}+\dfrac{2}{21}[/tex]

[tex]=\dfrac{32-63+24}{252}[/tex]

[tex]=\dfrac{-1}{36}[/tex]

Therefore the solution of the given expression will be equal to ( -1 / 36 ).

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

about 54

Step-by-step explanation:

due to the fact that it is just about a reflection but the thing is that it must be around 90, but it really depends on the angle you measure it at.

Answer:

34 m²

Step-by-step explanation:

Given,

Height ( h ) = 17 m

Base Area ( A ) = 6 m²

To find : Volume of Pyramid

Formula : -

Volume of Pyramid = Ah / 3

Volume of Pyramid

= 17 x 6 / 3

= 17 x 2

= 34 m²

Hence,

The Volume of pyramid is 34 m².

Answer:

 A) 0

Explanation:

[tex]\sf \lim _{x\to \infty }\left(\dfrac{2n^3+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}\right)[/tex]

1) Limit does not exist when the numerator is bigger.

2) Limit is zero when the denominator is bigger.

3) Limit is the ratio of coefficients when both powers are equal.

Here, the denominator have a power of 4, bigger than the numerator.

Hence, the limit of the nth term is 0.

The statement which says "The intersection of three planes can be a ray." is; True

In terms of line segments, the intersection of a plane and a ray can be a line segment.

Now, for the given question which states that the intersection of three planes can be a ray. This statement is true because it meets the definition of plane intersection.

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Answer:

False

Step-by-step explanation:

Saw a one star rating on the other answer, so I put false as my answer and got it correct.

Answer:

-8m+24-32n

Step-by-step explanation:

-8 times m is -8m

-8 times -3 is 24

-8 times 4 is -32

put it together, you have -8m+24-32n

Answer:

[tex]6\pi[/tex] in

Step-by-step explanation:

The formula to find the area of a circle: [tex]\pi r^{2}[/tex], where [tex]r[/tex] is the radius.

The formula to find the circumference (perimeter) of a circle: [tex]2\pi r[/tex], where [tex]r[/tex] is the radius.

1) To find the circumference of the circle, we need to find the radius ([tex]r[/tex]) first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.

[tex]9\pi =\pi r^2[/tex]

Cancel the [tex]\pi[/tex] by bringing it to the other side.

[tex]9 =\pi r^2[/tex] ÷ [tex]\pi[/tex]

[tex]9 = r^2\\\sqrt{9} = r\\3 = r[/tex]

2) Find the circumference of the circle by using the formula, [tex]2\pi r[/tex].

=  [tex]2*\pi *3[/tex]

= [tex]6\pi[/tex] in

         - - - - - - - - - - - - - -  - - -- - - - - - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - -

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

       Is g⁵•g² equal to g²⁵?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

          No, the expression is not equal to g²⁵.

Reason:-

If we multiply two numbers with the same base, we add their exponents.

So we add 5+2:

g⁽⁵⁺²⁾=g⁷

 - - - - -  - -- - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -

Answer:

V = 4/3 π (12)³

Step-by-step explanation:

The volume of a sphere is:

V = 4/3 π r³

where r is the radius.

Here, the ball has a diameter of 24 cm.  Radius is half the diameter, so r = 12.

V = 4/3 π (12)³

Answer:

27π/8 inches²

Step-by-step explanation:

= πr² × [3π/(4 × 2π)]

= π(3)² × 3π/8π

= 27π/8 inches²

Answer:

6 and 15

Step-by-step explanation:

n1 + n2 = 21

2(n1) + 3 = n2

n1 = 6

n2 = 15

6 + 15 = 21

By using the Pythagorean identity the value of tan [tex]\theta[/tex] will be ∞.

tan [tex]\theta[/tex] = ∞.

Pythagorean identities are identities in trigonometry that are extensions of the Pythagorean theorem. The fundamental identity states that for any angle [tex]\theta[/tex],

[tex]sin \; ^{2} \theta + cos \; ^{2} \theta =1[/tex]

By Pythagorean Identity we have,

we have, [tex]sin \theta \; = \; -1[/tex]

So, [tex](-1)^{2} \; + \; cos^{2}\; \theta =\; 1[/tex]

[tex]\; cos^{2}\; \theta =\; 1 - \; 1[/tex]

[tex]cos^{2}\; \theta =0[/tex]

[tex]cos\; \theta =0[/tex]

Now, we know that

[tex]tan \; \theta= \frac{sin\; \theta}{cos\; \theta}[/tex]

        =  [tex]\frac{-1}{0}[/tex]

  [tex]tan \; \theta=[/tex] ∞....................... (1)

Again, tan [tex]90^{0}[/tex] = ∞

If we compare from equation (1), we have

[tex]\theta = 90^{0}[/tex]

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Answer:

402.1 in^3

Step-by-step explanation:

To find the area of a cylinder, you multiply the base by the height. Given a base area of [tex]32\pi[/tex] in^2 and a height of 4 in results in the following equation:

V = 32π x 4

This comes out to be 402.123859659 which is 402.1 when rounded to the nearest tenth.

Answer:

Common difference: tₙ = (95x - 4)

Question: How do we find the 83rd term?

Step-by-step explanation:

[tex]t_n = (95x-4)\\83 * 4 = 332\\95x - 332 = -237x\\-237x = -237\\-237[/tex]

Therefore, the answer is -237

Answer:

90°

Step-by-step explanation:

The three angles : 45°, n°, and 45° will form a line.

A property of a line is that it creates a 180° angle.