Astronomers sometimes use angle measures divided into degrees, minutes, and seconds. One degree is equal to 60 minutes, and one minute is equal to 60 seconds. Suppose that ∠J and ∠K are complementary and that the measure of ∠J is 45 degrees, 30 minutes, 14 seconds. What is the measure of ∠K?

The measure of ∠K is ______ degrees, ______minutes, and _____ seconds.

Answers

Answer 1

Answer:

Here's what you need to know to answer this question:

            If two angles are "complementary"

            then they add up to 90 degrees.

So now you know that

                                    (Angle-J) + (Angle-K) = 90 degrees .

Subtract (Angle-J)

from each side:                              Angle-K = (90 degrees) - (Angle-J)

    Angle-K  =  (90 degrees) minus (48 degrees 26 minutes 8 seconds)

As soon as you do that subtraction, you have the answer.

The thing that makes it tough is subtracting some minutes

and some seconds from 90 degrees.

How you do that is:  An unusual kind of regrouping ('borrowing').

Usually, when you regroup, you take '1' from a place and use it

to make '10' in the smaller place.

This time, when you take '1' from a place, it gives you '60'

in the smaller place.

-- Take 1 degree away from the 90 degrees.

   Use it to make minutes.

   Then you have                  89 degrees  60 minutes .

-- Take 1 minute away from the 60 minutes.

   Use it to make seconds.

   then you have                    89 degrees  59 minutes  60 seconds .

Now the subtraction is a lot easier.

            89 degrees  59 minutes  60 seconds

minus   48 degrees  26 minutes    8 seconds .

That's easy to do, and the difference is the measure of Angle-K.

Step-by-step explanation:


Related Questions

H&M was having a huge sale last weekend. Steven bought 2 sweatshirts for $20.00 each. When he got to the register the cashier told him the sweatshirts were 30% off. How much did Steven pay in total?

Answers

Answer:

$28

Step-by-step explanation:

20 + 20 is equal to 40 and thirty percent off of 40 is 28 dollars

The answer is 28 dollars for your question :)

PLEASE HELP ME OMG: Rectangle QUAD has coordinates Q(0,0), U(0, 3), A(5, 3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point U'?
The coordinates of point U' are (???)

Answers

Answer:

0,18

Step-by-step explanation:

0,18 it making me put 20+ so ya

HELP ME !! WHOEVER GETS THE RIGHT ANSWER I WILL MARK BRAINIEST!!

Answers

Answer:

coordinates are {-8.5,4.5}

hope this helps

The equation for line l is y=4

please help i will rate 5 stars

Answers

1) B
2) E
3) D
4) A
5) C

Hope this helps :)
Answer:1st - B2nd - A3rd - D4th - E5th - CStep-by-step explanation:I wasn't 100% sure about The second question but it makes the most since. Hope you have a good day and good luck!

If this was useful, plz mark as Brainliest!

if you can pls answer any of these 6-10 plz do it would really help
(pic below)

Answers

Answer: the first one is $0.35

price per apple

Answer:

alexis: 7/12

tom: 12

Naomi: 21.55

Kevin: 41.657

   beef= 11.99 x 2 1/2= 29.975

        chicken= 6.49 x 1.8= 11.682

          29.975+ 11.682= 41.657

local store: each apple is .35

Step-by-step explanation:

Which set of values are in the solution set of 3x + 2 > 8?

A. 0, 1, 2, 3
B. 1, 2, 3, 4
C. 2, 3, 4, 5
D. 3, 4, 5, 6

Answers

9514 1404 393

Answer:

  D.  3, 4, 5, 6

Step-by-step explanation:

  3x + 2 > 8 . . . . . . given

  3x > 6 . . . . . . . . . subtract 2 from both sides

  x > 2 . . . . . . . . . . divide both sides by 2

Any set of values that includes 2 or any smaller numbers is NOT a solution set. The only set with numbers greater than 2 is ...

  D.  3, 4, 5, 6

D is the answer
You substitute the vale’s in X then multiply.

You have been saving your allowance to buy a Nintendo Switch. You finally have saved up $400, but then you remember that tax in San Diego is 7.75%. If you plan to purchase a Nintendo Switch for $400, how much more money will you need in order to pay the sales tax?

Answers

Answer:

you will need to pay $34.10 more

Step-by-step explanation:

x/440= 7.75/100

x=34.10

the answer is 35 i rounded up

HELP WILL MARK BRAINLIEST I NEED THIS ASAP!!!!!!!


To solve 4.2c = 54.6, you must do which of the following? Choose the correct answer.

a
Multiply 54.6 to both sides of the equal sign
b
Multiply 4.2 to both sides of the equal sign
c
Divide 54.6 to both sides of the equal sign
d
Divide 4.2 to both sides of the equal sign

Answers

Answer:

d

Divide 4.2 to both sides of the equal sign

Step-by-step explanation:

Answer: D

Step-By-Step-Explanation: I am right

The volume of a drop of water is approximately 0.05 ml. This value is equivalent to:

A)0,5 . 10^{-1} ml\\
B)0,5 . 10^{-2} ml\\
C)5,0 . 10^{-2} ml\\
D)5,0 . 10^{-1} ml\\

please help i will give 10 points and score as the best!

Answers

Answer:

i'vebeenknowntomissandtellsendgirlstowishingwells

Step-by-step explanation:

ifyou'remymaniwantyoutomyself

Pls help and explain: I only have 3 chances

Answers

Answer:

$40.99 | 40.99 Dollars of US

The answer is $40.99

I need help badly :[

Answers

535.25 is the answer bc you add the deposits and subtract the withdrawals
after April 13th Raul would have $535.25 on his account

explanation:

on 4/2 the balance was $539.50
on 4/2 $35.50 was taken out of the account
on 4/6 $23.75 was taken out of the account
on 4/13 $55.00 was added to the account

that means in all, $59.25 was taken out of the account
so, taking it out of the original balance,
539.50 - 59.25 = $480.25
but $55.00 was then added to the account so we add it to the new balance.
$480.25 + $55.00 = $535.25

so, that’s means there is now $535.25 on the account

can someone help me with these three answers?

Answers

Answer:

1. 5 to 2

2. 110

3. 37

Step-by-step explanation:

1. set up a raito

2. triangle must be 180 so add 70 then subtract

3. since its complenatry it must be 90 degrees, subtract 53 from 90

1. 5 to 2 2. 110 3. 37 hope it helps can I have brainlest

Absolute value is the ---- from zero on the number line.

Answers

Absolute value- the distance from zero

Absolute value is the distance from zero on the number line.

What is number line?

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

An absolute value of x is given by |x|.

The absolute value of any number is always positive.

|-x| = x

Thus,

Absolute value is the distance from zero on the number line.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ2

Last month, Bic made $1250. This month he made $2000. Find the percent of change. State whether the change is an increase or decrease.

Answers

Answer:

38.5% increase

Step-by-step explanation:

Answer:

the percent is of change is 62.5 and it increases

Step-by-step explanation:

to find the percent you need to 1250/2000 and if the percent didn't was 0 then it didn't increase but if it is more then it did. hope this helps :)

PLEASE HELP!!

Hungry Joey entered a hot dog eating contest. In 5 minutes, he ate 25 hot dogs. What is the constant of proportionality of hot dogs to minutes?

A.) 5 minutes per hotdog
B.) 25 hotdogs per minute
C.) 0.2 hotdogs per minute
D.) 5 hotdogs per minute

Answers

Answer:

D!

Step-by-step explanation:

Answer:

Step-by-step explanation:

HELP! i'll give brainliest if it's correct!!

Answers

Answer:

hey :)

Step-by-step explanation:

I got the same question, and got it incorrect :/

1) slope is equal to -1
2)-3 value of y
3)3 is the slope

help me plz ill give brainiest

Answers

week 0 he practices 0 hours
week 1 he practices 3.25 hours

Answer:

1 is 3.25

Step-by-step explanation:

The questions:
The figure shows the dimensions of a backyard. Find the area.
The area of the backyard is ______ square yards.

Answers

7273

......................

Answer: 700yd^2

Step-by-step explanation:

Area of Square - Area of Triangle

Area of Square: 30^2 = 900yd^2

Area of Triangle: (20) (20) / 2 = 200 yd^2

from the left side we can see the whole side is 30yd long. On the right we see its only 10 yd, meaning the triangle takes up the remaning 20yds. The whole bottom line equals 40 yd. The top line is only 20yd, leaving the other 20yd for the triangle.

900 - 200 = 700yd^2

40% of 60 is what number?
Proportion:
Solution:

Answers

Answer: 24

Step-by-step explanation:

Answer: To convert from percent to decimal, divide the percent without the percent symbol by 100 . Thus, 40%=40100=0.4 . 40% 60 is just 0.4⋅60=24 .

Convert fraction (ratio) 40 / 60 Answer: 66.666666666667%

Step-by-step explanation:

what is the solution to this system of equations?

Answers

Answer:a

Step-by-step explanation:

Answer:

(-2,4)

Step-by-step explanation:

The solution is where the two lines intercept therefore if (x,y) is how to wright a point, then it would be (-2,4)

A bouquet has 9 red roses 12 white roses and 2 sunflower. Using the ratio of white roses to total flowers, how many white roses would you have if you had 253 total flowers?

Answers

Answer:

132 white roses

Step-by-step explanation:

9 + 12 + 2 = 23

12 to 23

253 ÷ 23 = 11

11 × 12 = 132

If there are 253 total flowers then there would be 132 white roses

What is the circumference of this circle, in centimeters? Use 22/7 for Pi.
A. 33
B. 66
C. 207.4
D. 346.5

Answers

Answer: 66cm

Step-by-step explanation:

Diameter (d) = 21 cm

c= πd = 22/7 x 21 = 22 x 3 = 66cm

it’s should be B if not i’m sorry
good luck

Write a multiplication equation that represents the question: how many 3/8's are in 5/4's

I need an equation like asap lol

Answers

10/3 * 3/8 = 30/24 = 5/4

Answer:

1/4

Step-by-step explanation:

Mark hits a tennis ball into the air. He uses the equation shown to approximate the
height, h, in feet, of the ball t seconds after he hits it.
h = -1612 + 88t + 4
What does the 4 represent in Mark's equation?
A.
The ball was in the air for a total of 4 seconds.
B.
The ball landed 4 feet away from where Mark hit it.
C.
The ball was 4 feet above the ground when Mark hit it.
D.
The ball reached its maximum height 4 seconds after Mark hit it.

Answers

It’s D
Trust me it the right answer
i thinks it’s B i’m not really sure i’m slow i know it’s not D because t represents the seconds and in the equation it already has t


You have two cards with a sum of 0 in your hand. What two cards could
you have?

Answers

You could have two zeros

Estimate the perimeter of the figure.

A. about 20.5 units

B. about 25.5 units

C. about 32.5 units

D. about 34 units

Answers

Answer:

Step-by-step explanation:

It’s = 25.5 units

- Are AADE and AABC similar? Why?
y
4
D
2
A А
E
0
0
2
4
6 8
A. No; the ratio of corresponding sides is
not proportional.
B. No, not all right triangles are similar.
C. Yes; both triangles include the origin
as a vertex.
D. Yes; AADE is a dilation of AABC with
scale factor 1/2.

Answers

Answer:

pls show a picture of the triangle

Solve the equation:
3x + 1 over 4y2








Please help

Answers

Answer:

you cannot answer this

Step-by-step explanation:

Sam walked to a nearby shop to purchase a gallon of ice cream. The shop is 400 meters from his house, and it took him 4 minutes to get there. At the shop, it took 2 minutes to choose a flavor and purchase the ice cream. He walked home in 3 minutes, at a faster pace than before so the ice cream wouldn’t melt.

Draw a graph that models Sam’s distance from home (in meters) in terms of time (in minutes). Label the graph with appropriate intervals and units.

Answers

Answer:

  see the attached graph

Step-by-step explanation:

The axes and units for the graph are given in the problem statement. The range of the graph is also given, but figuring the domain requires a little arithmetic. We assume the walking pace is constant, so the graph will be piecewise linear.

Axes

The vertical (y) axis is labeled with what the graph is modeling, "distance from home (in meters)." The horizontal (x) axis is labeled with what the model is in terms of "time (in minutes)."

The range of the graph is 0 to 400 meters, the range of distances Sam may be from home.

The domain of the graph is 0 to 9 minutes. The time it takes to complete the trip is 4 minutes to the shop, 2 minutes at the shop, and 3 minutes coming home, for a total of 4+2+3 = 9 minutes.

Graph

We are given that points on the graph will be (0, 0), (4, 400), (6, 400), and (9, 0). That is Sam is ...

at home at 0 minutes400 meters from home (at the shop) after 4 minutesremaining 400 meters from home for 2 more minutes (until 6 minutes)at home after 3 more minutes (at 9 minutes).

Since we assume walking is at a steady pace, we connect these dots with straight lines. The resulting graph is attached.

help ,me plssss im bad at matrh

Answers

Answer:

B. 13

Step-by-step explanation:

To find the RANGE, you subtract the highest number in the set with the lowest number. In this case it was 14 - 1 = 13.

If you may, award me with brainliest xo

Answer:

B. 13

Step-by-step explanation:

To find the range of numbers, you subtract the highest number with the lowest number, 14 - 1 = 13.

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