The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

a) Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It states that the square of the hypotenuse is equal to the sum of the square of the legs of the triangle.

Let x be the length of the hypotenuse, using Pythagoras:

x² = 25² + 25²

x² = 1250

x = 35 (to the nearest whole number)

b) Using sine rule:

[tex]\frac{x}{sin(90)} =\frac{25}{sin(45)} \\\\x=\frac{25}{sin(45)} *sin(90)\\\\x=35(to \ nearest\ whole\ number)[/tex]

Related Questions

One angle in an isosceles triangle measures 50°. Which of these cannot be the measure of an angle in this triangle? A 50 C 80% D130

Answers

Answer:

In an isosceles triangle, 2 of the angles are identical

Sum of the 3 angles of a triangle is always 180

Possibility 1 - 50 is one of the 2 identical angles

The 3 angles will be 50, 50, (180-50-50)

Possibility 2 - 50 is not one of the 2 identical angles

The 3 angles will be 50, (180-50)/2, (180-50)/2

You can work out the above and see which answer is not the possible angle

Please let me know if you have further questions.

Answer:

Step-by-step explanation:

In an isosceles triangle two angles are equal to each other, single two sides are congruent. Since the sides of a triangle add up to 180, we can figure out possible answers. This means it could either be

50, 50 and 80

Or 50, 65, 65

Which means the impossible measure would be D 130.

I need help fast plz
You don’t need to show work

Answers

Step-by-step explanation:

uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

The anwser to this would be x=6 so C hope this helps :)

If f(x) =
3x-2
———
6
which of the following is the inverse of f(x)?
O A. f-'(x) =
x= 2x
O B. F'(x) = 6x-2
O c. f'(x) = 6**2
OD. F'(x) = 2x32

Answers

Answer:

i thin correct answer is b

PLEASE HELP! ILL GIVE BRAINLIEST!! PLEASEE

Answers

The answer is A which is 30. :D

Answer:

Step-by-step explanation:

2x + x - 10 = 80

3x - 10 = 80

3x (- 10 + 10)= 80 + 10

3x = 90

3x/3 = 90/3

x = 30

A discount of 15% is offered on an item which previously Cost $1.80. What is the discounted price

Answers

The discounted price is $1.53

Amount saved is $0.27

Cost Price= CP= $1.80

Discounted Price = $ 1.53

Amount Saved= $ 0.27

Discount= 15%

The Discounted Price $ 1.53 is obtained after the discount percent applied to the cost price and subtracted from the cost price.

When the discounted price is subtracted from the Cost Price we get the amount saved.

Discount = discount % × Cost Price

Discount = 15% × $ 1.80 = $ 0.27

Discounted Price= Cost Price- Discount

= $1.8- $ 0.27= $ 1.53

https://brainly.com/question/22066753

can someone please help me on this

Answers

V= 64cm3

Regards,
Cee:)

Will give brainliest

Answers

Answer:

I think the car's acceleration is 20 mph forward

Answer:

20m/s^2

Step-by-step explanation:

Acceleration is (Change in velocity÷change in time)

(20-0)÷ (1-0)

what is the answer to this question. i made it 20 pts

Answers

Answer:

the second choice

if Lisa is 12 years old now how old was she at the age at 1/4 of her current age

Answers

Answer:

Step-by-step explanation:

12/4=3

8+
3
z

=12 its z over 3 btw how do i show my work

Answers

8+z/3=12

8+4=12

12/3=4

z=12

PLEASE HURRY

Tameron rolls a 6-sided die 3 times.
What is the probability that he rolls a 5 on every roll?

A. 1/216
B. 3/216
C. 1/64
D. 3/64

Answers

Answers:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Grandma Marlene and Grandpa Gary are putting holiday lights on the gutters of their house. Grandma Marlene leans a 16-foot ladder up against the house, which makes the base of the ladder 9 feet from the house. How far up the house is the ladder?

Answers

Answer: 48

Step-by-step explanation: if i did the math correct 1/3 times the base (9) times 16 is 48. the formula is 1/3 x Bh

help i need the value of X

Answers

Answer:

x = 20

Step-by-step explanation:

The square signifies the angle is 90 degrees.

All triangle interior angles add up to 180 so:

2x + 10 + 40 + 90 = 180

2x + 140 = 180

2x = 180 - 140

2x = 40

x = 20

Answer:

Step-by-step explanation:

2x + 10 + 40 + 90 = 180

2x + 140 = 180

180 - 140 = 40

40 / 2

x = 20

Peter had $4.80 to spend at the store. He spent 1/3 of the money on a model car, 1 /4 of the
money on glue, 1/8 of the money on paint. He spent the rest on a hot dog and soda. How
much money did Peter spend on the ...
model car?_________.
glue?_____________.
paint?___________ .
hot dog and soda?________.

Answers

Answer:

model car?___$1.60______.

glue?_____$1.20________.

paint?_____$0.60______ .

hot dog and soda?___$1.40_____.

Step-by-step explanation:

model car: $4.80/3 = $1.60

glue: $4.80/4 = $1.20

paint: $4.80/8 = $0.60

hot dog & soda: $4.80 - $1.60 - $1.20 - $0.60 = $1.40

Add. (−5x4+6x2−43)+(6x4−x2+12x+12) Express the answer in standard form. Enter your answer in the box.

Answers

Answer:

x^2+12x-15

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5x4+6x2-43)+(6x4-x2+12x+12)

(x4+5x2+12x-31)

The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
sub(H,0): Level of math is independent of/dependent on grade level.
sub(H,1): Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Honors Math Regular Math General Math
6th Grade
7th Grade
8th Grade
After running an independence test, can it be concluded that level of math is dependent on grade level?
Yes/No

Answers

Answer:

use Ma.thway it helps

Step-by-step explanation:

Solve for x. 4/x + 3/x =14 answer choices is 2,-2,1/2,3/7,1/4

Answers

Answer:

=1/2

Step-by-step explanation:

i hope i'm right

What type of triangle is this triangle?

acute isosceles

obtuse isosceles

acute scalene

right isosceles

Answers

Answer:

Obtuse isosceles

Step-by-step explanation:

Since this is an obtuse isosceles triangle, the two missing angles must be acute angles.

Answer:

obtuse isosceles

Step-by-step explanation:

im kinda bad but since the top angle is obtuse its an obtuse isosceles

Let f(x)=√3x and g(x)=x-6 What's the smallest number that is in the domain of fog?

Answers

9514 1404 393

Answer:

Step-by-step explanation:

Maybe you have ...

f(x) = √(3x)

g(x) = x-6

Then ...

f(g(x)) = √(3(x -6))

The square root function is only defined for non-negative arguments, so we require ...

3(x -6) ≥ 0

x -6 ≥ 0 . . . . . divide by 3

x ≥ 6 . . . . . . . . add 6

The smallest number in the domain of f(g(x)) is x = 6.

45,39,33,27,21,15, ?

Answers

Answer:

(i hope this helped!)

Answer:

The answer is 9.

Step-by-step explanation:

45-6=39-6=33-6=27-6=21-6=15-6=9.

What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = 1 – 162
O A. The graph of f(x) is shifted 16 units up.
O B. The graph of f(x) is shifted 16 units to the left.
O C. The graph of f(x) is shifted 16 units down.
O D. The graph of f(x) is shifted 16 units to the right.

Answers

Answer: C) Shifted 16 units down

The minus 16 at the end is directly the reason why. Think of y = 1/x, and subtracting 16 from both sides to get y-16 = (1/x) - 16. The y-16 will shift every point down 16 units. For instance, the point (1, 1) moves to (1, -15).

There are thirteen shirts in your closet,
eight blue and five green. You randomly
select one to wear on Monday and then a
different one on Tuesday. You wear a blue
shirt on Monday and a green shirt on
Tuesday.

Answers

11 shirts

Step-by-step explanation:

You start off with 13, wear one monday, 12, then another tuesday 11

13-2=11

Given below are the rating and performance scores of 15 laptop computers. Performance Score 115 191 153 194 236 184 184 216 185 183 189 202 192 141 187 Overall Rating 74 78 79 80 84 76 77 92 83 78 77 78 78 73 77 How will you classify the linear relationship between the performance scores and the rating

Answers

Answer:

moderate positive relationship

Step-by-step explanation:

From the data:

The linear relationship between score and rating can be obtained by calculating the Pearson correlation Coefficient between the two variables. This can be obtained more easily by using technology, a linear correlation Coefficient calculator. The result of the correlation Coefficient for the data above is about 0.66. This value is positive which shows that the association between the variables is positive, increase in one leads to increase in the other and vice versa. Also the value shows that the relationship is fairly strong.

Mr. Poplin asked his students to write the following expression: "Two to the fifth power plus seven squared" Which answer choice shows this expression? A 52 - 27 B (2-5) + (7.2) © 25-74 D 2572

Answers

Answer:

Step-by-step explanation:

they rest The two by five and separate the square

solve the equation

f(n)=10⋅2n for n = 5

Answers

Answer:

f(5) = 100

Step-by-step explanation:

f(n) = 10•2n for n = 5

for n = 5 means we will plug in 5 for every instance of n.

f(5) = 10•2(5)

Multiply.

f(5) = 10•10

Multiply.

f(5) = 100

Hope this helps!

Help pleaseeeee thanks

Answers

Answer:

We know that 3 l 3 = 3.3, so the values of the stem and leaf plot would be;

4 l 8, 9

5 l 1, 6, 8, 8, 9

6 l 8, 9, 9, 9, 9

7 l 0, 2, 2, 2, 5, 5

8 l 0, 9

Hope this helps!

I need this quick, please!
What does x equal?
-x / 3 + 4 = 20

Answers

Answer:

x= -48

Step-by-step explanation:

-x is being divided by 3, so you want to muiltiple both sides of the equation by 3, move the constant to the right, find your answer and then change the signs! Don't forget about the negative sign.

Hopes this helps:

Answer: x = -48

Just like what the first person said have a great day.

7. There are 42 pupils in a class. 12 of them are Malays while the rest are
Chinese. 1/4 of the boys and 12 of the girls are Malay. How many boys
are there in the class?

I NEED THIS ASAP!!!

Answers

Answer:

There are 36 boys in the class.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of boys

y is the number of girls.

There are 42 pupils in a class.

This means that [tex]x + y = 42[/tex].

Since we want x, we have that [tex]y = 42 - x[/tex]

12 of them are Malays while the rest are Chinese. 1/4 of the boys and 1/2 of the girls are Malay.

This means that:

[tex]\frac{x}{4} + \frac{y}{2} = 12[/tex]

Since [tex]y = 42 - x[/tex]

[tex]\frac{x}{4} + \frac{42 - x}{2} = 12[/tex]

Multiplying everything by 4.

[tex]x + 84 - 2x = 48[/tex]

[tex]-x = -36[/tex]

[tex]x = 36[/tex]

There are 36 boys in the class.

The St. Croix junior hockey
team won 3 out of every 4
games it played.
The team played 56 games.
How many games did it lose?

Answers

Answer:

Step-by-step explanation:

56 divided by 4 is 14

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