1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ludmilka [50]
3 years ago
14

What is the change in temperature from -45°F to - 71°F?

Mathematics
1 answer:
nalin [4]3 years ago
4 0
It's C. -26. Since they're both negative you, you add: -71 + 45 = -26.
You might be interested in
triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what
scoray [572]

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

4 0
3 years ago
Solve the following inequality. 21<_-3(x - 4) < 30 A. 28<_x < 37 B. -3 <_ x < 6 C. -6 < x <_ -3 D. -10 &
Aloiza [94]

Answer:

Option C -6

Step-by-step explanation:

we have

21\leq -3(x-4)

The compound inequality can be divided into two inequality

21\leq -3(x-4) -----> inequality A

-3(x-4) ----> inequality B

Solve inequality A

21\leq -3x+12

9\leq -3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

-3\geq x

Rewrite

x\leq -3

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

-3x+12

-3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

x>-6

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

-6

3 0
3 years ago
Can some show the steps and the answer please I really need help tell me how you get it and the answer
Lana71 [14]

Answer:

Step-by-step explanation:

so this is about triangles..  sooo the following is a bit of helpful reminders that I keep on my computer to help me remember how to fit the trig functions to triangles..  I strongly suggest you copy it and keep it where you can look at it often.

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

I use this anytime I run into triangles or need some help with sin or cos

now the problem , 3 ladder  10, 12, & 15 feet.   Alex wants to get to 8 feet.

the problems is also telling you that   you can use   t.....   and then , the words are cut off.. but I know they were going to say   Tan ... next.. :P

b/c Tan is how you figure out problems with the adjacent side and the opposite side.  like this problem.    Look at  TOA  above.  use that to recall how the parts fit in the formula

Tan(∅) = Opp / Adj

they give us the Opp side of 8 feet in the problem

then they also tell us the Hyp of the triangle which is each of the ladders length.  Then they ask us what is the Adj sides length?

So we also need to solve the triangle with the know hyp  (ladder length).. uggg, this problem is long. Then we can solve the dist. from the wall or Adj side length.

it's two steps, if you want to think of it that way.   You're supposed to be pretty confident with trig functions.   I'm guessing this is a trig class.. right?

let's solve for the 3 different angles that the ladders make , each going to 8 feel.  Obviously, nobody would really do this with a ladder they would just lean it against the wall . and if it's taller than where they want to climb, they would just go up part way.   so anyway,     find the 3 different angles.  

look above to see which formula to use.

I like SOH b/c it seems to have all the pieces of the triangle we want to work with.

ladder 1  ( 10')

Sin(∅) = Opp / Hyp

Sin(∅) = 8 / 10

∅ = arcSin (4/5)

[ first, yes, I just reduced the fraction, then I did the arcSin on both sides, I think you might know how to do that already ? ]

∅ = 53.13010 °

( yes, I used my calculator to find that,  calculators are okay to use when figuring out non standard angles )

ladder 2 (12')

Sin(∅) = 8/12

∅ = arcSin (2/3)

∅ = 41.81031°

ladder 3 (15')

Sin(∅) = 8/15

∅ = arcSin (8/15)

∅ = 32.230952°

now use our Tan function to find the Adjacent side which is the distance from the wall

Tan(∅)= Opp / Adj

Adj = Opp / Tan(∅)

( I did some quick algebra to move the side we want to solve for, now plug and chug all 3 angles  )

ladder 1

Adj = 8 / Tan(53.13010)

Adj = 6.0000005    

ladder 2

Adj = 8 / Tan(41.81031)

Adj = 8.94427

ladder 3

Adj = 8 / Tan(32.230952)

Adj = 12.688577

so the 10' ladder is 6 feet from the wall

the 12' ladder is 8.9 feet from the wall

the 15 foot ladder is 12.7 feet from the wall.

I really don't think that 15' ladder is going to stay on the wall.. if Alex climbs it... it's way way too far out... it will just fall straight down the wall  :/   Maybe another math problem for the forces involved  :P

5 0
2 years ago
What is the value of the 5 in the number 2.005?<br> 0.05<br> 0.5<br> 0.005<br> 5
Bogdan [553]

Answer:

0.005

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The distance from one corner of a rectangular garden to the other is 13 ft. The length of the garden is 7 ft longer than the wid
coldgirl [10]

Answer:

  • dimensions: 12 ft by 5 ft
  • area: 60 ft²

Step-by-step explanation:

Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...

  x² + (x+7)² = 13²

  2x² +14x + 49 = 169 . . . . eliminate parentheses

  x² +7x -60 = 0 . . . . . subtract 169 and divide by 2

  (x +12)(x -5) = 0 . . . . factor the equation

  x = -12 or +5 . . . . . . . only the positive value of x is useful here.

The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².

_____

<em>Comment on finding the area</em>

The quadratic equation above can be rearranged and factored as ...

  x(x +7) = 60

Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.

4 0
3 years ago
Other questions:
  • Plz help me with I don't understand this <br><br>Question 7
    14·2 answers
  • A horizontal pull A pulls two wagons over a horizontal frictionless floor, the first wagon is 500N, the second is 2000 N. The te
    13·1 answer
  • an object is translated by (x + 4, y - 2). If one point in the image has the coordinates (5 , -3), what would be the coordinates
    8·1 answer
  • The first year he invested $1,000 and made 10% in interest. The second year he was so excited that he added $2,000 to his origin
    5·1 answer
  • Which function has a range of y&lt;3?<br> y=3(2)<br> y=2(3)<br> O y=-(2)* +3<br> O y= (2)* - 3
    12·1 answer
  • This is what I came up with. Is this right?
    7·1 answer
  • Beatrice charges $10/h and gets a $5 automatic tip. Beatrice needs $100 to buy a present for her mother. She wants to find out t
    8·1 answer
  • A scientist measures a substance to be 0.6 grams. Calculate the percent of error in the measurement.
    14·1 answer
  • Help I need a answer real quick! Plz don't send me a file type it out!!
    12·2 answers
  • Find the median of the following data:10, 16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10, 9
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!