Use the cofunction identities to find an angle x that makes each statement true.
1.) sin(3x-15° )=cos(x+25°) 2.)cot(x-10° )=tan(2x+20°)

Answers

Answer 1

Answer:

x=20

Step-by-step explanation:

sin¢=cos90-¢

therefore; 3x-15+x+25=90

4x+10=90

4x=90-10=80

x=20

Answer 2

Answer:

1)    x = 20

2)   x = 80/3

Step-by-step explanation:

1)    If sin A = Cos B, then A + B = 90

      3x - 15 + x + 25 = 90

       4x + 10 = 90

       4x = 80

         x = 20

2)   If cot A = tan B, then A + B = 90

       x - 10 + 2x + 20 = 90

       3x +10 = 90

       3x = 80

         x = 80/3


Related Questions

What is 6.92x10^-3 written in standard form?

Answers


The answer Is 0.00692 written is standard form

between what two constructive intergers is 152
a. 10 and 11
b. 12 and 13
c. 13 and 14
d. 11 and 12

Answers

Answer:

b. 12 and 13

Step-by-step explanation:

I hope I was of use to you! (. ❛ ᴗ ❛.)

Greta has 45 minutes before her job interview. She is 15 miles away from the interview. How fast must she drive to be on time for the interview?

Answers

Ok glad to help greediness
Contest
Ohtrddbh

Given: G is the centroid of isosceles triangle AEC, AB = 6 units, and A F = 5 units.
What is the perimeter?

Answers

Answer:

32

Step-by-step explanation:

Given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units

To understand how to derive the perimeter of [tex]\triangle AEC[/tex], recall the following related to centroid of a triangle in reference to the image in the attachment below:

Medians of a triangle (i.e. AE, CD, and FB) connects the vertices (i.e. A, B & C) of a triangle to the midpoints (i.e. F, D, & E) of the opposite sides of the triangle.

Centroid (i.e. O) is a point of concurrency of the triangle.

By implication, all sides the triangle (i.e. AC, AB, & BC) are divided into two equal segments (i.e. FA= CF, AD = BD, & CE = BE)

Also, note that:

Isosceles triangle have two equal sides (in triangle AEC given, EA = EC)

We're going to apply the above stated facts to solve the problem given since we are told that G is the centroid of the isosceles [tex]\triangle AEC[/tex]:

Thus:

G = centroid  (given)

AB = 6 units (given)

FA = 5 units (given)

EA = EC (equal sides of isosceles triangle)

Therefore:

EF = FA = 5 units

EA = EF + FA

Substitute

EA = 5 + 5

EA = 10 units

EC = EA (equal sides of isosceles)

EC = 10 units

AB = CB = 6 units

AC = AB + CB

Substitute

AC = 6 + 6

AC = 12 units

Perimeter of triangle AEC = AC + EA + EC

Substitute

Perimeter of triangle AEC = 12 + 10 + 10 = 32 units

Therefore, given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units

Learn more about centroid of a triangle here:

https://brainly.com/question/350143

HEY JUST LETTING EVERYONE KNOW DO NOT CLICK ON LINKS THEY ARE NOT AN ANSWER TO YOUR QUESTION STAY SAFE

Answers

Answer:thanks :)

Step-by-step explanation:

Answer:

Thx or the notice and free points

THIS IS TRUE NOT FAKE

WARNING!!!

Step-by-step explanation:

If an equation, Y varies directly as X varies. If Y equals 208 when X equals 13, what is the value of X when Y equals -144?

Answers

Answer: X = -9

Step-by-step explanation:

You can set up a ratio to solve this.

208/13 = -144/x

208x=-1872

x = -9

DIRECT VARIATION

[tex]\mathbb{ANSWER:}[/tex]

Step 1: Write the equation of variation

[tex]\sf y \propto x[/tex][tex]\sf y = kx[/tex]

Step 2: Solve for k or the constant of proportionality

[tex]\sf 208 = k(13)[/tex][tex]\sf \frac{208}{13} = \frac{k(13)}{13}[/tex][tex]\sf k = 16[/tex]

Step 3: Solve for x

[tex]\sf -144 = 16x[/tex][tex]\sf \frac{-144}{16} = \frac{16x}{16}[/tex][tex]\sf x = \boxed{\sf -9}[/tex]

Solve for x and round to the nearest tenth

Answers

Answer:

x = 6.0

Step-by-step explanation:

Given:

Line AB is the hypotenuse

50.1 degrees is an angle

90 degrees is a right angle

Line CB is x and is opposite to the 50.1 degree angle

Line AC is 5 and is adjacent to the 50.1 degree angle

We know we have angles of 50.1 degrees and 90 degrees

We could find the third angle by doing 180 = 50.1 + 90 + a; a = 39.9 degrees

Sin(angle) = Opp/Hyp, Cosine(angle) = Adj/Hyp, Tan(angle) = Opp/Adj

We know the adjacent length, degree of angle, and are looking for the opposite side; therefore, we can use tan(angle) = opp/adj

tan(50.1) = x/5

x = 5.9979

or

tan(angle) = opp/adj

tan(39.9) = 5/x

x = 5.9979

Round to the nearest tenth:

x = 6.0

Mary had $70 to spend on 6 books. After buying them she had $16 left. How much did each book cost?  Write an equation and show your work.​

Answers

Answer:

9

Step-by-step explanation:

(70-16)/6=9

/ = division

WILL GIVE BRAINLIEST!! The data set {2,5,q,10,13,16} has mean x¯=9

Find the value of q

Answers

Answer:

#3. 8

Step-by-step explanation:

Frequency of data

6

Sum of data:

2 + 5 + q + 10 + 13 + 16 = 46 + q

Sum of data as per mean and frequencies:

9*6 = 54

Compare the sums:

46 + q = 54q = 54 - 46q = 8

Correct choice is #3. 8

What is the mean medium and mad of 0,2,2,3,4,4,4,5,5,6

Answers

Answer:

mean = 2

median = 2

mode = no mode

Step-by-step explanation:

A container of disinfectant wipes is in the shape of a cylinder. The cylinder has a DIAMETER of 3 inches and a height of 8 inches.

Calculate the volume of the container.

V = π r 2 h

Answers

Use app called Socratic will help you out
V = pi(3)(2)(8)

Answer: V = 150.8 inch/m^2

M=7 n=-2 p=4 i really don’t knwo




Answers

Answer:

-70

Step-by-step explanation:

m = 7

n = -2

p = 4

[tex]\frac{10mn}{3p-10} \\\\\frac{10(7)(-2)}{3(4)-10} \\\\\frac{70(-2)}{12-10} \\\\\frac{-140}{2} \\\\-70[/tex]

Answer:

-70

Step-by-step explanation:

First we have to substitute the variables for numbers:

10(7)(-2) / 3(4) - 10

Simplify:

-140 / 12 - 10

Now we solve it:

-140 / 2 = -70

Hope this helps :)

Which number is divisible by 2, 3, and 5?
A. 2025
B 3100
C945
Db1230

Answers

Answer:

D: 1230

Step-by-step explanation:

1,230 is divisible by 2, 3 and 5

Find the area of this figure

Answers

Area of triangle

a = 6 ft + 2 ft + 2ft = 10 ft

h = 12 ft

½ * 10 ft * 12 ft = 60 sq ft

Area of square :

a = 6 ft

6 ft * 6 ft = 36 sq ft

Area of this figure :

60 + 36 = 96 sq ft

Answer:

156 ft

Step-by-step explanation: (This does not seem to be in scale)

1. Split into one triangle and one square

2. Find triangle area

12 * 10 = 120 ft

3. Find square area

6 * 6 = 36 ft

4. Area = Atriangle + Asquare

120 + 36 = 156 ft

144 pages in 3 minutes as a unit rate

Answers

144/3- 48
48pgs/min
Mark me Brainliest

Using the Distance Formula

For problems 1 - 6, find the distance between each pair of points. Round to the nearest tenth when necessary
1. (0,0) and (-3,4)
2. (1,2) and (6,14)
3. (8,11) and (15, 35)
4. (3,8) and (-5,-7)
5. (-2,-3) and (-1,-4)
6. (-3,5) and (3,5)

Answers

Answer:

Step-by-step explanation:

since I did 1 already ,  i'll do 2 - 6 .. fast

using the formula for distance  =  sq rt [ (x2 - x1 ) ^2  + (y2 - y1 ) ^2 ]

2)  sq rt [ (6-1)^2 +  (14-2)^2

sq rt [ 25 + 144]

sq rt [ 169]

13

3) sq rt [ (15 - 8)^2 + (35-11)^2 ]

sq rt [ 49 + 576 ]

sq rt [625]

25

4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]

sq rt [ 64 + 225]

sq rt [ 289]

17

5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]

sq rt[ (-1+2)^2 + (-4+3)^2]

sq rt [ 1 + 1 ]

[tex]\sqrt{2}[/tex]

6) sq rt [ 3-(-3)^2 + (5-5)^2]

sq rt [ (3+3)^2 + 0]

sq rt [ 9 ]

3

:)  phew....  :P

please help. 5 points!

Answers

64 is the answer to the question above

What is the measure of EBG?

Answers

Answer:

Easy. 41+32= 73 degrees

Step-by-step explanation:

Select all the statements that are true about rhombus MNPQ.​

Answers

Answer:

your answer will be option A and B

Step-by-step explanation:

hope it helps u

have a wonderful day/night

Select the place where the digit 3 sits in this number. 43,628,698,591

Answers

Answer:

That would be three flippin BILLION - i believe that is what ther question is asking, thats the billions place.

Step-by-step explanation:

learn the commas, it goes hundred, hundred thousand, hundred million, hundred billion E.T.C and everything in between.

now, lad take this answer and use it to fulfill your upmost potential in life!

(which involves brainliest for the pinnacle of fulfillment)

Do people who are the only child have more pets?

Would surveying only the people in your class give you enough information to answer this new question? Explain your reasoning.

Answers

Answer: t does sound logical that an only child may be more inclined to have a pet than children in larger families. However we haven’t located any statistics that support that thought.

Our own dad was a single child and did have a dog while growing up. Times were tough back in the those days 1920s to 1945 so he couldn’t have a lot of pets growing up. During WWll he adopted a dog on Siapan and smuggled her home on the ship with him when the war was over.

Growing up he always dreamed of raising dogs, but ended up raising three kids instead. The first born, a boy, loved cats but never had one of his own until he was grown up and had a place of his own. The reason he didn’t have a pet of his own as a child was because 4 years after he was born his twin sisters entered.

We hit the ground with an insatiable need to interact with animals of all kinds. Sure we had each other for companionship but some people are just born with a great need to converse with other species. From the time we entered the household all pets became ours.

As far as statistics go, they do find that families with children are more likely to have pets. It just doesn’t stipulate how many children are in the family.

One of the interesting finds though is that the percentage of childless families are increasing but pet ownership is continuing to grow as well.

Step-by-step explanation:

Answer:

Only children do have more pets because it's something to do. If your class has a mix of only children and people with siblings then you would have enough information.

Step-by-step explanation:

Can someone please solve for x and y and than classify the triangle by sides and angles

Answers

Answer:

x=23

y=15

Step-by-step explanation:

Using the triangle interior theorem,

All three interior angles of a triangle add up to 180.

So that means angle x+23+134=180

Angle x=23

So x=23

Since two angles have the same measure, that means there are two sides that have same measure. Using the converse of base angles theorem,

If two angles are congruent, then the sides opposite of those angles are congruent.

Since the given angle 23 is opposite of side y and our missing angle (which is 23) is opposite of the side that measures 15.

Side y measures 15.

This triangles is a obtuse isoceles triangle.

Any help on this I’ll mark brainliest please

Answers

The answer is 96! Because 12 times 8 gives u 96.
answer: x = 11.3

Steps:
Leg b : 12 - 8 = 4

a^2 + b^2 = c^2
a^2 + 4^2 = 12^2
a^2 + 16 = 144
a^2 = 144 - 16
a^2 = 128
a = √(128)
a = 11.313708499
a = 11.3

I would appreciate brainliest if this was correct had clear steps and was helpful! :)



3. The scatter plot shows the number of hits and home runs for 20 baseball players who had at least 10 hits last season. The table shows the values for 15 of those players. The model, represented by y = 0.1x – 1.5, is graphed with a scatter plot.

hits
home runs
predicted home runs
12
2
0.3
22
1
1.8
154
26
21.6
145
11
20.3
110
16
15
57
3
7.1
149
17
20.9
29
2
2.9
13
1
0.5
18
1
1.2
86
15
11.4
163
31
23
115
13
15.8
57
16
7.1
96
10
12.9

Use the graph and the table to answer the questions.
a. Player B was the player who most outperformed the prediction. How many hits did Player B have last season?

Answers

Answer: 12

Step-by-step explanation:

Find the value of X inches

Answers

Answer:

10 in

Step-by-step explanation:

This question can be solved with a proportion. 12 is to 8 as 15 is to x since the triangles are congruent. So solve 12/8=15/x. Then cross multiply to get x=10.

will mark brainiest pls just lmk

Answers

Answer:

If asking for the distance, the answer would be C.

What is the unit rate for the Japanese bullet train?




558 x 3 = 1674 miles per hour


558 / 3 = 186 miles per hour


PLEEEEEEEEAAAAAAASSSSSEEEEEE HEEEEEEELP

Answers

Answer:

186 Miles per hour.

Step-by-step explanation:

558/3

Please PLEASE help me!!!
Find AC

Answers

Answer:

AC=AB+BC

x=1+9/3

x =4

Ac = 3(4)+1 + 9

Ac = 12+1+9

Ac= 22

What is the only difference when solving inequalities?

Answers

Answer:

If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!

Step-by-step explanation:

Answer:

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!

Carmen works at a company where she gets a set 5% raise every year. If her current salary is $66,000, what
will her salary be in 12 years?

Answers

Her salary in 12 years will be $ 105,600
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