Solve for the missing angle

Solve For The Missing Angle

Answers

Answer 1

Answer:

[tex]\displaystyle 55,7[/tex]

Step-by-step explanation:

[tex]\displaystyle 1\frac{41}{53} = sec\:x \hookrightarrow sec^{-1}\:1\frac{41}{53} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]

OR

[tex]\displaystyle \frac{53}{94} = cos\:x \hookrightarrow cos^{-1}\:\frac{53}{94} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.


Related Questions

An auto mechanic has collected $1468.63 for parts, including 6% tax. For accounting purposes, he must determine exactly how much of the total was in sales tax.

HINT: Let "x" stand for the dollar amount of the parts BEFORE tax was added. ​

Answers

Answer:To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + ...

Step-by-step explanation:

When three or more numbers are added, the sum is the same regardless of the grouping. Which property is this Associative, Commutative, or Distributive property

Answers

Associative property. Hope this helps!

Answer:

Associative property

Step-by-step explanation:

have fun

Find all real $x$ that satisfy $$(2^x - 4)^3 (4^x - 2)^3 = (4^x 2^x - 6)^3. $$

Answers

The polynomial-like expression is satisfied by the real value x = 1.

How to determine the real solution of a polynomial-like expression

In this question we must apply the concepts of logarithms and algebra properties to solve the entire expression. Initially, we expand the right part of the expression:

[tex](2^{x}-4)^{3}+(4^{x}-2)^{3} = (4^{x}+2^{x}-6)^{3}[/tex]

[tex](2^{x}-4)^{3} + (4^{x}-2)^{3} = [(2^{x}-4)+(4^{x}-2)]^{3}[/tex]

[tex](2^{x}-4)^{3}+(4^{x}-2)^{3} = (2^{x}-4)^{3}+3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2}+(4^{x}-2)^{3}[/tex]

[tex]3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2} = 0[/tex]

[tex]2^{x}-4 + 4^{x}-2 = 0[/tex]

[tex]2^{x}\cdot 2^{x} + 2^{x}-6 = 0[/tex]

[tex]u^{2}+u - 6 = 0[/tex]

[tex](u+3)\cdot (u-2) = 0[/tex]

Hence, the roots of the pseudopolynomial are [tex]u_{1} = -3[/tex] and [tex]u_{2} = 2[/tex]. Only the second one have a real value of x. Hence, we have the following solution:

[tex]2^{x} = 2[/tex]

[tex]x\cdot \log 2 = \log 2[/tex]

[tex]x = 1[/tex]

The polynomial-like expression is satisfied by the real value x = 1. [tex]\blacksquare[/tex]

To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/24211708

Can someone work this one out with me please

Answers

Answer:

46°

Step-by-step explanation:

Since the side mn is tangent, the angle in M is a right angle. The sum of internal angles needs to add to 180°, so subtacting you're left with 46°

Hi there!

Since MN is tangent to Circle K, we know that MK and MN are PERPENDICULAR.

Therefore, m∠M = 90°.

Since we now know two angles in the right triangle, we can solve for m∠K knowing that angles in a triangle sum up to 180°.

180° = ∠M + ∠N + ∠K

180° = 90° + 44° + ∠K


Combine like terms:
180° = 134° + ∠K

Subtract:
180° - 134° = ∠K

∠K = 46°

PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER​

Answers

Hello!

[(4πr³)/3]/2

r = 7,5yd

[4 *3,14*7,5³/3]/2

=> 883, 125yds ³

what is the answer to this problem (8+2)³-6

Answers

Answer:

994

Step-by-step explanation:

(8+2) = 10

10^3 = 1000

1000 - 6 = 994

Answer:

994

Step-by-step explanation:

(8+2)³-6

10³-6

1000-6

994

Hope that helps!

write the standard form of the equation of the circle with the given center and radius. Center (2.-1), r= √3

Answers

Answer:

(x-2)^2 +  (y+1)^2 = 3

Step-by-step explanation:

That is the standard equation for a circle given h,k center and r

A rectangle has an area of 91.7 square inches and a base of 13.1 inches. What is the height?

Answers

Answer:

7 inches

Step-by-step explanation:

The area of a rectangle A is equal to its length times its width (or base times height if you want to put it that way.)

Since A = b*h, h = A/b. Plugging in values gives you 91.7/ 13.1 = 7 inches.

So the answer is 7 inches.

Nihkil surveyed 20 students at his middle school and 13 of them had at least one sibling. What percent of the students surveyed have at least one
sibling?

Answers

the answer is 65 percent

The students surveyed have at least one sibling are 65%.

What is percentage?

The word "per centum," which means "by the hundred," was used to create the phrase "percentage." The denominator of a percentage is 100, which are fractions. To put it another way, it is the relationship between parts and the whole, where the whole always has a value of 100.

Rate is characterized as a given part or sum in each hundred. The denominator is 100, and the symbol "%" denotes that it is a fraction.

Given total  student surveyed  = 20

students had at least one sibling = 13

percent of the students surveyed have at least one sibling =

(students had at least one sibling)/(total  student surveyed) x 100

percent of the students = 13/20 x 100

percent of the students =  65%

Hence 65% of students surveyed have at least one sibling.

Learn more about percentage;

https://brainly.com/question/29306119

#SPJ2

if brainly doesn't let me put this question..

Answers

Answer:

8-4+9+3+6-6=36 this is my answer

Keisha cuts a 2/3 foot rope into 1/12 foot piecesz how many pieces of rope was she able to cut?

Do I divide 2/3 by 1/12?

Answers

Answer:

yes its 24/3 but reproduce is 1/8

Step-by-step explanation:

What is the volume of this prism?
3 cm
3 cm
20 cm
13 cm
13 cm
6 cm

Answers

Answer:

720

Step-by-step explanation:

break the area into two shapes the triangle and the rectangle

then you good

choose the name of the highlighted part.​

Answers

Answer:

B.edge it is the correct answer!

HURRY PLEASE I WILL GIVE BRAINLIEST AND LOTS OF POINTS

Answers

Answer:

[tex]m = \dfrac{3}{4} [/tex]

Step-by-step explanation:

We would like to find the slope of the line of the given equation .

[tex]\longrightarrow y =\dfrac{3}{4}x -1 [/tex]

We know that slope intercept form of the line is given by ,

[tex]\longrightarrow y = mx + c [/tex]

where ,

m is the slope c is y intercept

Now we can compare the given equation with the slope intercept form to find the slope . You will see that 3/4 is present at the place of m .Therefore ,

[tex]\longrightarrow \underline{\underline{m=\dfrac{3}{4}}} [/tex]

Hence option C is correct choice .

Answer:

C. 3/4 (third option).

Step-by-step explanation:

Use the slope-intercept formula.

Slope-intercept formula:

→ y=mx+b

The m represents the slope.The b represents the y-intercept.

So, the slope is 3/4 and y-intercept is -1.

Therefore, the correct answer is C. 3/4.

I hope this helps! Let me know if you have any questions.

A chocolatier makes chocolate bon-bons in the shape of a sphere with a diameter of 2 cm. The chocolate used in the bon-bons has a density of 1.33 g/cm^ 3 If the chocolate used costs $0.04 per gram, how much would the chocolate for 110 bon bons cost , to the nearest cent?

Answers

The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.

What is the total amount it would cost to make 110 bon bons?

The first step is to determine the gram used in making the chocolate.

Gram = density x volume

Volume = 4/3πr³

4/3 x 22/7 x (2/2)³ = 4.19cm³

Gram = 4.19cm³ x 1.33 = 5.57 g

Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52

To learn more about density, please check:

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Help due in an hour and I am confused

Answers

Answer:

48 degree

Step-by-step explanation:

Angle EFD=Angle EGD=42 degree

Angle EFG=90 degree

Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree

Answer:

m∠DFG = 48°

Step-by-step explanation:

Angles in a semicircle Theorem

The angle at the circumference in a semicircle is 90°

Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°

As the sum of the interior angles of a triangle is 180°

m∠EDG + m∠EGD + m∠DEG = 180°

⇒ 90° + 42° + m∠DEG = 180°

⇒ m∠DEG = 48°

As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°

A city’s population is 12,800. It is predicted that the population will increase by 3% each year.
Part a: Write a function that can be used to find the city’s population after t years.
Part b: If the city’s population, p, continues to grow 3% per year, what will the approximate population be in 15 years. Round to the nearest integer.

Answers

Answer:

18,560

Step-by-step explanation:
3 percent *12800 =

(3:100)*12800 =

(3*12800):100 =

38400:100 = 384

384*15 = 5760
12800 + 5760 = 18560

1/(x+1) divided by 4/(x+1)+6/x

Answers

Answer:

4x/(x+1)(x2+x+6)

Step-by-step explanation:

i dont understand???????????

Answers

Answer:

Step-by-step explanation:

We can obtain that the dimensions of the rectangle are 7 by 5.

Since A = lw, the total area is 35.

Help me please! I’ll give Brainliest to the right answer!

Answers

Answer:

(x,y) ---> (x+9, y+8)

Step-by-step explanation:

you simply take one point (ex point R to R^1) and count the distance from left to right/right to left which is 9 so that is your X and count up which will be your Y in this case is 8.

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu

Answers

Answer:

3mm

Step-by-step explanation:

4 (3/4)

4x3/4

=3

brainiest please

Answer:

3 mm

Step-by-step explanation:

We know,

[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Perimeter_{(square)} \it=4a }}}[/tex]

Where,

a is the side length of the square. Here, a = [tex] \sf \: \dfrac{3}{4} [/tex] mm

Now, Substituting the values in the formula :

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it4 \times \it \dfrac{3}{4} }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it \cancel4 \times \it \dfrac{3}{ \cancel4} }}}[/tex]

[tex]{\longrightarrow \qquad {\boldsymbol {\pmb{Perimeter_{(square)} = 3 }}}}[/tex]

Therefore,

The perimeter of the square is 3 mm

Find the area of the quadrilateral

Answers

Answer:

58.58

Step-by-step explanation:

[tex] \frac{1}{2} \times 10 \times 3 \\ 5 \times 3 = 15.....(1)[/tex]

[tex] \frac{1}{2} \times 10 \times 10 \\ 5 \times 10 = 50...(2)[/tex]

Add one and two :- 15+ 50 = 65

what is the value of 350 - 30(-14 + 3.5)

Answers

Answer:

665

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

665

Step-by-step explanation:

350 - 30( - 14 + 3.5) ← evaluate the parenthesis

= 350 - 30( - 10.5) ← distribute parenthesis by - 30

= 350 + 315

= 665

Help please this is complicated

Answers

Answer:

2=29

3=x?

kris kross

2x=3×29

2x=87

divide both sides by two

x=43.5

and

3=43.5

so find by this method

add (5y - 1) + (-2y + 4) =

Answers

Answer:

3(y+1)!

Step-by-step explanation:

can somone help? ill give brainlist

Answers

Answer:

13.99+.75+.75=15.49

Part A ) 15.49

Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51

Step-by-step explanation:

Simplify:
Q1) 4k – 8p + 4k - 5p

Answers

Answer:

- 13p + 8k

Step-by-step explanation:

[tex]4k-8p+4k-5p[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=-8p-5p+4k+4k[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-8p-5p=-13p[/tex]

[tex]=-13p+4k+4k[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:4k+4k=8k[/tex]

[tex]=-13p+8k[/tex]

[RevyBreeze]

what is the area of the triangle in square yards 10 3/4 yards and 7 yards

Answers

The answer isH
A=hbb
2

1.) 7x+8=29
2.) 6x+6=36
3.) 7+6x=19
how do you solve these problems?

Answers

Answer:

1.) x= 3

2.) x=5

3.) x=2

Step-by-step explanation:

1) 7x+8=29

( -8). 7x=21. (-8)

(÷7). x=3. (÷7)

2). 6x+6=36

6x=30. subtract 6

x=5. divide by 6

3). 7+6x=19

6x+7=19. rearrange it

6x=12. subtract 7

x=2. divide by 6

[tex] \huge\mathbb\red{ANSWER} [/tex]

[tex] \mathsf \purple{7x + 8 = 29}[/tex]

[tex] \mathsf \pink{7x + 8 - 8 = 29 - 8}[/tex]

[tex] \mathsf \purple{7x = 21}[/tex]

[tex] \mathsf \pink{ \frac{7x}{7} = \frac{21}{7} }[/tex]

[tex] \mathsf \purple{x = 3}[/tex]

[tex] \mathsf \red{6x + 6 = 36}[/tex]

[tex] \mathsf \green{6x + 6 - 6 = 36 - 6}[/tex]

[tex] \mathsf \red{6x = 30}[/tex]

[tex] \mathsf \green{ \frac{6x}{6} = \frac{30}{6} }[/tex]

[tex] \mathsf \red{x = 5}[/tex]

[tex] \mathsf \blue{7 + 6x = 19}[/tex]

[tex] \mathsf \orange{ - 7 + 7 + 6x = 19 - 7}[/tex]

[tex] \mathsf \blue{6x = 12}[/tex]

[tex] \mathsf \orange{ \frac{6x}{6} = \frac{12}{6} }[/tex]

[tex] \mathsf \blue{x = 2}[/tex]

Jean listed the steps involved in the life cycle of a gymnosperm. 1 - The pollen gets stuck in a sticky liquid. 2 - Sperm from the pollen fertilize the egg in the ovule. 3 - The ovule develops into a seed. 4 - When mature, the seeds are dispersed. Which step is missing? Before step 3, the ovule develops cones. Just after step 3, the ovule develops cones. Before step 1, wind carries pollen from the male to the female cones. Just after step 1, wind carries pollen from the male to the female cones

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Just after step 3, the ovule develops cones.

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