Fin each missing measure. Round all answers to the nearest tenth. Pls Help!!

Fin Each Missing Measure. Round All Answers To The Nearest Tenth. Pls Help!!

Answers

Answer 1

Answer:

  6.2 units

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.

Common segment

To find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591

__

Missing measure

The side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106

The length of the side marked x is about 6.2 units.


Related Questions

I need help! Giving brainiest. Please answer as many questions as you can!!!!

Answers

Answer:

2. 12

3. 1 6/8

4. 8 5/8

5. 4 4/8

6. Eli is incorrect 1 3/8 x 3 is 4 1/8 which is greater than 3 1/8

i need help smh..anyways can someone help me? like asap-

Answers

Answer: x<-1

Step-by-step explanation:

The answer is A!

Answer:

See below.

Step-by-step explanation:

Solving the inequality :-

18 < -3(4x - 2)18 < -12x + 612 < -12x-1 > xx < -1

Graph A shows the solution to the inequality correctly

Select the correct answer.
Which number is an irrational number?

A.

B.

C.

D.

Answers

Answer:

its c i just got done doing the same one

Step-by-step explanation:

got it right on my real numbers test and got 100% if you need more help comment under my answer

What is the slope of the line that passes through (-1, 3) and (-1, 8)?
due today

Answers

Answer:

Slope of the line is undefined

Step-by-step explanation:

(x₁, y₁) = (-1 , 3)  and (x₂, y₂) = (-1 , 8)

The line is parallel to y-axis. The slope of the line parallel to y-axis is undefined.

Use the equation, (1/27)^x=3^(-4x+6), to complete the following problems.
Rewrite the equation using the same base.
Solve for x. Write your answer as a fraction in simplest form.
Please show all work, and refrain from posting links, thank you!

Answers

Answer:

Given equation:

[tex]\left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]

27 can be written as [tex]3^3[/tex]

Also [tex]\dfrac{1}{a^b}[/tex] can be written as [tex]a^{-b}[/tex]

[tex]\implies \dfrac{1}{27}=\dfrac{1}{3^3}=3^{-3}[/tex]

Therefore, we can rewrite the given equation with base 3:

[tex]\implies (3^{-3})^x=3^{(-4x+6)}[/tex]

To solve, apply the exponent rule [tex](a^b)^c=a^{bc}[/tex]

[tex]\implies 3^{-3 \cdot x}=3^{(-4x+6)}[/tex]

[tex]\implies 3^{(-3x)}=3^{(-4x+6)}[/tex]

[tex]\textsf{If }a^{f(x)}=a^{g(x)}, \textsf{ then } f(x)=g(x)[/tex]

[tex]\implies -3x=-4x+6[/tex]

Add [tex]4x[/tex] to both sides:

[tex]\implies x=6[/tex]

Find all solutions of the equation below.
7^5-3=7^5x-19

Answers

Answer:

7⁵-3=7⁵x- 19

Step-by-step explanation:

16807 - 3 = 7⁵x - 19

16804 = 7⁵x - 19

16804 = 16807x - 1

adding 19 on both sides

16804 + 19 = 16807x - 19 + 19

16823 = 16807x

x = 16823 / 16807

16823 upon 16807 is the x

PLEASE ANSWER I NEED MY MATH GRADE UP PLEASE GUYS
The prism below is made of cubes which measure of an inch on one side. What is the volume?


Note: Figure is not drawn to scale.
A. 12 cubic in


B. 24 cubic in


C. 3 cubic in


D. 9/2 cubic in

Answers

Answer: B-24 cubic inches

Explanation:
Lxwxh=V
2x3x4=24

Help..............lllllllllllllllllll

Answers

Answer:

4 pepperoni pizzas

Step-by-step explanation:

3 cheese => 1 pepperoni

12cheese (3x4) => 4 (1x4) pepperoni

HELP!!!! I can’t figure this out

Answers

Answer:

[tex]A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]

on a blueprint, the area of a tennis court is 16.25cm². a) if the scale on the blueprint is 1cm: 4m, what is the actual area of the tennis court? b) if the length of the tennis court on the blue priny is 6.25 cm what it the actual length of the tennis court

Answers

Step-by-step explanation:

so,

1cm : 4m

that means the factor is 1/400 (as 1 m = 100 cm).

also to remember : 1 m² = 100cm×100cm = 10,000 cm²

the area of a rectangle is

length × width

if both dimensions are shortened by a factor (1/400) in our case :

length×1/400 × width×1/400 =

= length × width × 1/400² = length × width × 1/160,000

that means the area of the actual tennis court is

160,000 times the area of the blueprint picture :

160,000 × 16.25 = 2,600,000 cm² = 260 m²

we now know that the actual length of the tennis court is 400 times the length of the blueprint length :

400 × 6.25 = 2,500 cm = 25 m

The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A = ℓw. Use the given numbers to write and solve an equation to find the width, w, of the picture frame.

Answers

Answer: w=8.5

Step-by-step explanation:

Just did it.

I need this for a geometry assignment........please help

Answers

All three are similar

In ∆SUT and ∆VWX

Two sides are similar and one angle is similar

So by SSA they are similar

In ∆PRQ and rest two

All angles are.

80,80,20°

So

They are similar by AAA congruence

How you should answer:

1. Known:

2.Unknown:

3.Rationle:

4.Equation and Solution:


Steps on how to answer:

-State the known

-State the unknown and represent it with a variable

-Provide a rationale for your approach

-Include the equation, exact answer, and decimal approximation

Answers

Question 1

Focus on the triangle on the left.

sine is the ratio of opposite over hypotenuse

sin(angle) = opposite/hypotenuse

sin(44) = w/30

w = 30*sin(44)

w = 20.839751 approximately

Now move onto the triangle on the right. We'll use cosine this time.

cos(angle) = adjacent/hypotenuse

cos(x) = w/45

cos(x) = 20.839751/45

cos(x) = 0.463106

x = arccos(0.463106) ... arccosine is the same as [tex]\cos^{-1}[/tex]

x = 62.412286

Answers:w = 20.839751 approximatelyx = 62.412286 approximately

==========================================================

Question 2

Focus on the triangle on the left.

sin(angle) = opposite/hypotenuse

sin(32) = w/5

w = 5*sin(32)

w = 2.649596

Now move to the triangle on the right.

sin(angle) = opposite/hypotenuse

sin(x) = w/5

sin(x) = 2.649596/5

sin(x) = 0.5299192

x = arcsin(0.5299192) .... arcsine is the same as [tex]\sin^{-1}[/tex]

x = 31.999996

Answers:w = 2.649596 approximatelyx = 31.999996 approximately

==========================================================

Question 3

This time we use the tangent ratio.

Focus on the triangle that has legs of w and 16.

tan(angle) = opposite/adjacent

tan(70) = 16/w

w*tan(70) = 16

w = 16/tan(70)

w = 5.823524

Now let y = x+w and focus on the largest triangle this time.

tan(angle) = opposite/adjacent

tan(41) = 16/y

y = 16/tan(41)

y = 18.405895

This leads to:

y = x+w

x = y-w

x = 18.405895 - 5.823524

x = 12.582371

Answers:w = 5.823524 approximatelyx = 12.582371 approximately

i need help) Han and Clare go shopping, and they each have a coupon. Answer each question and show your reasoning.
1.Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon?

2.Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon?

Answers

The amount of money that Han saves by using a coupon is $1.5%

The percentage off Clare's purchase with the coupon is 25%

How much did Han save?

A coupon reduces the price at which an item is sold

Amount saved = coupon discouunt x normal price

10% x $15

0.1 x $15 = $1.5

What is the percent off Clare's coupon?

Percent off = (6/24 x 100  = 25%

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Suppose that $x,y,z$ are positive integers satisfying $x \le y \le z$, and such that the product of all three numbers is twice their sum. What is the sum of all possible values of $z$

Answers

The possible values of z is an illustration of the sum operator

The sum of all possible values of z is 17

How to determine the possible sum of z?

The conditions in the question are:

x <= y <= z

xyz = 2(x + y + z)

Using the trial by error method, the possible values of x, y and z are:

x = 1 , y = 3 , z = 8x = 1 , y = 4 , z = 5x = 2 , y = 2 , z = 4

The sum of the z values are:

z = 8 + 5 + 4

Evaluate the sum

z = 17

Hence, the sum of all possible values of z is 17

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please help I'll give brainliest if answer is right ​

Answers

Answer:

The area is about 96.06 or 96.1

Step-by-step explanation:

I tried my best to solve it, I'm sorry if it's wrong.

Which number is a rational?

Answers

Answer:

0/5 = 0

0/200 = 0

0/ (-25) = 0

Step-by-step explanation: I am sure this is it because these are rational numbers

Brandon rolls a six sided die twenty times, and records the result in the table below. how many times did brandon roll above the average? 6 1 3 4 4 4 6 5 5 3 6 4 4 5 2 3 5 4 4 2 a. 14 b. 7 c. 5 d. 4

Answers

The average is the arithmetic mean of all the observations of a set of numbers. The number of times Brandon rolls above the average is 7.

What is average?

The average is the arithmetic mean of all the observations of a set of numbers. it is found by dividing the sum of all the observations of the set by the number of observations in the set.

[tex]\rm{Average=\dfrac{Sum\ of\ observations}{Number\ of\ observations}[/tex]

In order to know the number of times Brandon rolls the dice above the average, we first need to calculate the average of the twenty rolls.

The average of the 20 times dice rolls,

[tex]\rm Average = \dfrac{6+1+3+4+4+4+6+5+5+3+6+4+4+5+2+3+5+4+4+2}{20}[/tex]

[tex]\rm Average = \dfrac{80}{20} = 4[/tex]

Thus, the average of the 20 rolls of the dice is 4.

Now, the number of times the result of the dice roll is above 4(x>4) is 7.

Hence, the number of times Brandon rolls above the average is 7.

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Find the volume of the solid. Use 3.14 for π.​

Answers

Answer:

vol= 10366.3175in²

Step-by-step explanation:

So this is a cylinder

formula: π r²h

R= 8.75in

h=43.12in

So it will be = 3.14x8.75²x43.12

=> 3.14x76.5625x43.12

3.14x 3301.375

10366.3175in²

i think it is correct

.

stay safe

.

have a nice TIME

A crate of pears that usually costs $50 is on sale for 10% off. What is the sale price for the crate of pears?​

Answers

Answer:5
Explaining:
10% of 50
= 10%=10/100 = 0.1
= 0.1 (x) times 50
= 5

Sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.

What is sale price?

" Sale price is defined as the amount on which something is sold out."

Formula used

Sale price = Cost price - Discount amount

According to the question,

Cost price of the crate of pears = $50

Discount  on sale price = 10%

Discount amount = 10% of $50

                             [tex]=\frac{10}{100}(50) \\\\= \$5[/tex]

Substitute the value in the formula of sale price we get,

Sale price = [tex]\$ ( 50 - 5)[/tex]

                 = $ 45

Hence, sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.

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PLEASE HELP THANK YOU

Answers

Answer:

money left= -50•games played + 47.50

Find the value of X round your answer to the nearest tenths

Answers

Answer:

x = 17.9

Step-by-step explanation:

[tex]tan40^{0} =\frac{15}{x}[/tex]

[tex]x=\frac{15}{tan40^{0} } =17.88[/tex]

rounded: 17.9

Hope this helps

Find the volume of the square pyramid shown below.

Answers

We can use the formula: V = (1/3)a2h to solve this (a is not area, it’s for side length

We plug in our variables

V=(1/3)10^2x12

We get the answer 400m^3


what type of sequence is 99,33,3,1

Answers

Answer:

36 ,36 30,2

Step-by-step explanation:

hope it's okay to you

Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 9 9 4m 2m4 – 6m2 2m4 – 6m2 – 4m 9 9 – 6m2 4m – 2m4 –2m4 – 6m2 4m 9.

Answers

The standerd form 4m – 2m^4 – 6m^2 +9.

We have given that the polynomial given below we have to find the standerd form  of the polynomial.

What is the standerd form of the polynomial

[tex]P(x)=a_nx^n+a_{n-1}x^{n-1}+......+a_1x+a_0[/tex]

n=4

Standard form of the polynomial

[tex]4m - 2m^4 - 6m^2 + 9[/tex]

Rearranginge term we get

[tex]=-2m^4 - 6m^2 + 4m + 9[/tex]

The third term of the given polynomial is 0.

Therefore,the standard form is,

[tex]-2m^4 - 6m^2 + 4m + 9[/tex]

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sin 60 =11/x
x=11/sin (60)

Answers

Answer:

sixt

Step-by-step explanation:

thats easy the sin should be six

Given cosθ = 3/5, find the five other trigonometric function values. 15

Answers

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill[/tex]

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}[/tex]

The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

sin(θ) =  4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We're given that:

cosθ = 3/5 for some angle θ

Since we've got:

[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]

Therefore, we have:

[tex]\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]

Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).

(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)

Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:

[tex]p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units[/tex]

(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).

Thus, we have:

From the perspective of the angle θ:

Length of the base = 3 unitsLength of the perpendicular = 4 unitsLength of the hypotenuse = 5 units.

Thus, using these values, and the definition of the trigonometric ratios, we get:

sin(θ) =  4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4

Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

sin(θ) =  4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4

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in which quadrant is point (-4,5) located?

Answers

The point (-4, 5) is located in the first quadrant.
It is located on the second quadrant

First quadrant (positive, positive)
Second quadrant (negative, positive)
Third quadrant (negative, negative)
Fourth quadrant (positive, negative)

A different rectangle has a diagonal of 60 yards and a height of 40 yards.find the width of the rectangle rounded to the nearest hundredth

Answers

Answer:

2159.6 i think

Step-by-step explanation:

i used a rectangle calculator

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
1
4
in
112 in
1
in
12
NA
1
1
in
.
inches

Answers

Answer:

7 1/3 inches

Step-by-step explanation:

2 (1 3/4 + 1 11/12)

9+11

3/4+11/12= -------------

12

20/12

=1 2/3+ 2

2(3 2/3)

= 7 1/3

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