Answer:
∠V = 33°
∠W = 90°
∠X = 57°
Step-by-step explanation:
In a right triangle, the sum of the acute angles is 90 degrees
(2x+3) + (3x+12) = 90
combine like terms
5x + 15 = 90
5x = 75
x = 15
∠V = 2x+3, x=15
2(15) + 3
30 + 3
33°
∠X = 3x+12, x=15
3(15) + 12
45 + 12
57°
Harold is moving a 5- foot tall refrigerator. He tilts it onto its rear edge forming an angle between the back of the refrigerator and the floor; the top edge of the tilted refrigerator is exactly 4 feet above the floor as shown in the following diagram.
What is the cosine of the angle the refrigerator makes with the floor?
A, 4/5
B, 5/4
C, 4/3
D, 3/4
E, 3/5
Please help I’ll give branliest
The cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
Harold tilted the 5 foot fridge, so the slanting height = 5 feet
The tilted refrigerator makes the height 4 feet from the floor.
From the diagram,
The three sides of the triangle according to Pythagoras theorem are
Hypotenuse side, h = 5 feet
Opposite side, o = 4 feet
Let a be the adjacent side.
By Pythagoras theorem,
[tex]Hypotenuse^{2} = Opposite^{2}+Adjacent^{2}[/tex]
⇒ [tex]5^{2} =4^{2} +a^{2}[/tex]
⇒ [tex]a^{2} = 25-16[/tex]
⇒ [tex]a=\sqrt{9}[/tex]
⇒ [tex]a=3[/tex]
Thus the trigonometric ratio cosine of the angle is
[tex]cos \theta =\frac{Adjacent}{Hypotenuse}[/tex]
⇒ [tex]cos \theta =\frac{3}{5}[/tex]
Hence we can conclude that the cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
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Convert the equation below to slope intercept form 2x+y=3
pls help ASAP
9514 1404 393
Answer:
(b) y = -2x +3
Step-by-step explanation:
Subtract the 2x term to get y by itself on the left.
2x -2x +y = 3 -2x
y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b
[tex]5^{2}= 55[/tex]
Answer:
bugahhh
Step-by-step explanation:
bugahhh
Answer:
2 is actually 11
Step-by-step explanation:
5 x 11 = 55
divide 5 from both sides to get,
2 = 11
I think you meant two as a variable maybe?
How the heck do I do this
What is the slope of the line in the
graph?
the slope is a positive one.
the equation would be y = x + 1
Answer:
y = x + 1
Step-by-step explanation:
x because the change is x is 1. And the change in y is also 1. 1/1 can be written as x.
The line crosses the y axis on 1, making it the y-intercept.
Simplify: Square root of -16
4
4*4 = [tex]\sqrt{x}[/tex]16 not sure how it gets negative
please help with question 2 50 points for answer and brainliest
Answer:
b) Reflection over y = -2
Step-by-step explanation:
Reflection over y = -2
when you Subtract: 70-(-11) what is your answer
Answer:
81
Step-by-step explanation:
Help Plz
WIll mark brainliest
Answer:
y=+|x-3|
Step-by-step explanation:
We know it is positive because it is expanding upward. So +. We know it is x-3 because if it is inside the absolute value signs, the constant(-3 in this case) is opposite. So it is 3. And 3 matches with the vertex of the graph. And the ending is 0, so I omitted it bc its still on the x intercept, meaning it has a y value of 0.
Answer:
fam good luck
Step-by-step explanation:
2a + b = 20
show your work
Answer:
I posted it above!!!
Step-by-step explanation:
hoped I helped:)
Find the length of arc PS. Use 3.14 for pi Round to the nearest tenth. 6.48 in 739 1500 650 R
Answer:
8.3
Step-by-step explanation:
To find a length, we want to find how many radians our arc length is. Let's convert our 73-degree angle into radians, which will give us our radian length.
(73)≈1.2741
Now, we know our arc length is equal to about 1.2741 radians. Let's multiply this by our radius.
1.2741(6.48)≈8.3
Therefore, our arc length is about 8.3 inches.
I hope this helps!
( not my answer, i saw this question posted somewhere else and it was already answered :)
The length of arc PS is 8.3 inches.
The calculation is as follows;Here we have to convert our 73-degree angle into radians, which will give us our radian inch length.
i.e.
(73)≈1.2741
Now, we know our arc length is equivalent to about 1.2741 radians.
Let's multiply this by our radius.
1.2741(6.48)
≈8.3
Learn more: brainly.com/question/16911495
How do i slove for x2 + 19 = 3
Answer:
x = ± 4i
Step-by-step explanation:
x^2 + 19 = 3
Subtract 19 from each side
x^2 +19-19 = 3-19
x^2 = -16
Take the square root of each side
sqrt(x^2) = sqrt(-16)
x = sqrt(-1*16)
x =sqrt(-1) * sqrt(16)
We know that the square root of -1 is the imaginary number i
x = ± 4i
Over the past few years Donald made 40 trips to the amusement park. He drove 400 km in all. The distance travelled by him on each trip to the park is:
Answer:
10
Step-by-step explanation:
Answer:
10 km
Step-by-step explanation:
total no of km covered=400
total no of trips=40
distance in each trip= 400/40
=10km
A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?
Answer:
28/36 shd give u the answer
answer in 1:ur answer
What two numbers multiply to get 7 and add to get -8
Answer:
-7 and -1
Step-by-step explanation:
-7x-1=7
-7-1=-6
-7 and -1
- have a great day
Solve for x. Enter the solutions from least to greatest. (−5x+4)(x−3)=0
lesser x=
greater x=
1 NEED HELP ASAP WILL GIVE BRAINLY
Answer:
c
Step-by-step explanation:
I believe its c I've done this last semester
what is m<M to the nearest degree? show your work.
Answer:
27°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Sine
sin theta = opposite/Hypotenuse
Opposite = 5
Hypotenuse =11
sin theta = 5/11
theta = arc sin (5/11)
theta = 27.035691789°
Approximately = 27°
Angle m<M = 27°
If I drive 5minutes and 1.4miles back and forth a day for 6 months/182.5days, how many hours would I have driven.
Answer:
Bdksfdmwfdbdvenwksgzbb2i38ryened
3 What is the equation of a line that passes through the point(0, -3) and has a slope of 2?
Answer:
Step-by-step explanation:
In ΔWXY, x = 1.2 inches, y = 3.1 inches and ∠W=131°. Find ∠X, to the nearest 10th of an degree.
Answer:
13.1
Step-by-step explanation:.
help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
I beleive is is -2% because 5 is 2 more than 3
so then 5-2=3
Answer:
Error Is 100(2/3) 66.7%
Simplify the expreesion (6x²) (4x²)
Answer:
the answer is 24x⁴
first you multiply 6 by 4,
next you multiply X² by x², which really means you add the numbers on top of the variable
1 4/5 divided by 1 1/5
fraction has to be in its simplest form
Answer:
14/11
Step-by-step explanation:
cause when u divide you have to switch the second fraction; it's called the reciprocal.
do crossed division and you'll get 14/11.
Answer:
1 1/2
Step-by-step explanation:
1 4/5 ÷ 1 1/5
convert to full fractions:
9/5 ÷ 6/5
9/5 x 5/6 = 45/30 = 1 1/2
The histogram shows the number of minutes that users waited to register for classes on a university's online system. According to the histogram, how many users waited 60 minutes or less?
A) 2 students
B) 4 students
C) 5 students
D) 9 students
NO LINKS OR ILL GET ADMINISTRATOR TO DELETE YOU
here is one example of what i mean is in the bubble... :
(Ochamp1k )
(Beginner )
(8 answers )
(2 people helped )
(Here's link to the answer: )
( )
(tnylnk.ml/5dHq )
do not use this link ok... or any similar
Answer:
D
Step-by-step explanation:
PLEASE HELP PRE ALGEBRA EASY 10 POINTS
Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to put in $60 per month. Yoko opened her account with a starting amount of $530, and she is going to put in $50 per month.
Let x be the number of months after today.
(a) For each account, write an expression for the amount of money in the account after x months.
Amount of money in Chau's account (In dollars) =
Amount of money in Yoko's account (in dollars) =
(b) Write an equation to show when the two accounts would have the same amount of money.
Answer:
A1-60x+460
A2-50x+530
B-60x7+460
50x7+530
Step-by-step explanation:
A1 and A2-since x is equivalent to number of months we multiply the number of months then add it to the original cost to get how much total you get in the account.
B-you add 50 to 530 and 60 to 460 until they equal the same amount in this case its 7 times.
Which of the following expressions is equivalent to (2x)3 ?
Group of answer choices
6x4
2x3
8x3
6x3
btw the numbers on the right are exponents
Answer:
6x3
Step-by-step explanation:
....................
At a hospital, 56 percent of the babies born are not girls. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? Round to the nearest percent.
5%
7%
21%
27%
Answer:
It's the first option 5%
Step-by-step explanation:
The probability of a premature baby girl being born at this hospital is,
⇒ 5%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, If the likelihood of boys being born is 56%,
Then, the complement of that is the likelihood of girls being born which is,
⇒ 100% - 56% = 44%.
Since, we are given that of the baby girls born, 12% are premature, the probability of a premature baby girl being born is:
⇒ (0.44)(0.12)
= 0.0528
⇒ 5.28%
Thus, The probability of a premature baby girl being born at this hospital is,
⇒ 5%
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Hannah buys ice cream and onions at the store
She pays a total of 35.16
She pays a total of 4.44 for the ice cream
She buys 6 bags of onions that each cost the same amount
Write and solve an equation which can be used to determine x, how much each bag of onions costs
Answer:
x=5.12
Step-by-step explanation:
35.16= 4.44+6x
30.72=6x
5.12=x
x=5.12
Hope this helps :)