Answer:
74°
Step-by-step explanation:
The angle on a line = 180°
therefore:.
x + 106° = 180°
x = 180° - 106°
x = 74°
Answer: 74 degrees.
Step-by-step explanation:
Angles on the same side of a line add to 180.
The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:
106 + x = 180
x = 74
Round your answer to the nearest hundredth..
B
?
5
2
A
С
Answer: m<B = 66.42
Step-by-step explanation:
Use cosine to find the missing angle.
Cosine = adjacent/hypotenuse
cos x = 2/5
since you know the side lengths and you’re finding the angle, use inverse cosine
cos -1 (2/5) = 66.4218215...
m<B = 66.42
Hey there!
We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.
In our case, we see that the cosine of our angle is 2/5. How do we know that?
Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"
SOH
Sine= Opposite/Hypotenuse
CAH
Cosine= Adjacent/Hypotenuse
TOA
Tangent= Opposite/Adjacent
If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.
Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).
cosΘ= 2/5
We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)
cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5
Θ ≈ 66.42
I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!
Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?
Question 6 options:
A) ƒ(x) = (6x + 1)2
B) ƒ(x) = (1∕6x + 1)2
C) ƒ(x) = 6(x + 1)2
D) ƒ(x) = 1∕6 (x + 1)2
Answer:
[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Step-by-step explanation:
Vertical stretch or shrink
[tex]y=c \cdot f(x)[/tex]
a stretch by a factor of c if c>1
a shrink by a factor of c if c<1
c is the factor
We are given that factor = 1/6 <1
So, Vertical shrink
So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]
We are given that [tex]f(x) = (x + 1)^2[/tex]
So,[tex]y=\frac{1}{6}(x+1)^2[/tex]
Option D is true
Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Answer:
ƒ(x) = (1∕6x + 1)^2
Step-by-step explanation:
A factory uses 3/4 of a barrel of raisins in each batch of granola bars. Yesterday, the factory
used 1 1/2 barrels of raisins. How many batches of granola bars did the factory make
yesterday?
Answer:
Step-by-step explanation:
3/4 * 2 = 1 1/2
The factory made two batches of granola bars.
See question above
A) 7.2 cm
B) 9 cm
C) 10.6 cm
D) 12 cm
Answer:
B) 9 cm
Step-by-step explanation:
Just look at the triangle and use Pythagoras theoreum.
a² + b² = c²
a = 9 9 - 4.9 = 5
b = ?
c = 10
5² + b² = 10²
b² = 100 - 25
b² = 75
b = + - SQRT( 75 )
{Only the positive term has a meaning here.}
b = 8.66 rounded that is 9, which is answer B.
Please answer i'll give brainlist
AD and BE are diameters. What is the measure of arc EDC
A. 125 degrees
B. 145 degrees
C. 235 degrees
D. 215 degrees
Answer:
a
Step-by-step explanation:
3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?
Answer:grjjrd
Step-by-step explanation:fdfgdjj
Evaluate the expression 3 x
{10 +1} +5.
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5.
PEMDAS
Parentheses first
3 x {11} +5.
Then multiply and divide
33+5
38
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5 Following PEMDAS, solve in the parentheses
3 x 11 + 5 Multiply 3 x 11
33 + 5 Add
38
Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.
Answer:
0.80x dolllars
Step-by-step explanation:
20% discount of the total amount is
0.20 * x dolllars
So if you start with x dollars you need to subtract the discount to get the new (lower ) price.
x - (0.20 * x) dolllars
1* x - 0.20 * x
x * 1 - 0.20 * x
x * ( 1 - 0.20 )
x * ( 0.80 )
0.80x dolllars
What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters
Step-by-step explanation:
surface area = (2*0.5*12*8) + (2*10*10) + (12*10)
= 96 + 200 + 120
= 416 cm^2
A trapezoid was broken into a triangle and rectangle. The base of the triangle b is ______cm.
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$93,996
Step-by-step explanation:
i = prt
i = ($53,712)(.15)(5)
i = $40, 284
$40, 284 + $53,712
$93,996
Answer:
$92996
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 53712 × 15/100 × 5
I = $40284
He has = 40284 + 53712 = $93996
What is the difference between a rectangular prism and a triangular prism?
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
A rectangular prism has two bases, while a triangular prism has one base,
A triangular prism has two bases, while a rectangular prism has one base.
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.
Dintro
Done
Answer:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
Step-by-step explanation:
Any prism has two bases. Since we are talking about a rectangular prism and a triangular prism both must have two bases.
For example, a square prism has two bases and they are both square.
In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.
Note: For the figure to have only one base it must be called a pyramid.
Thus, the answer is:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles
Answer:
a
Step-by-step explanation:
can net worth be negative?
Answer:
our net worth can tell you many things. If the figure is negative, it means you owe more than you own. If the number is positive, you own more than you owe. ... Negative net worth does not necessarily indicate that you are financially irresponsible; it just means that – right now – you have more liabilities than assets
Step-by-step explanation:
hope it help
Yes, of course. A good fraction of the people on earth owe more than they own, so have negative net worth.
In the USA about 14% of the households have negative net worth. I would have guessed that credit card debt was the culprit, but it's mostly student loans that drag folks into this category.
PLEASE ANSWER THIS ASAP
Answer:
i really dont know
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The slope (rate of change) are 2/5 or .4 for both of them
So do i divide by 2 each time?
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.
Hope this helps!
What is the range of the function y= e^4x
Answer:
The answer would be {y|y>0}
Step-by-step explanation:
hope this helps
Write 21 9/1000 in decimal form
Answer:
the answer in decimal form is 21.009
Answer:
= 21.009
Step-by-step explanation:
First change it to an improper fraction
= 1000 x 21 + 9
= 21009/ 1000
You then divide it by 1000 without leaving a remainder.
= 21.009
a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?
Answer:
There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.
What is the circumference of the circle? Use 3.14 for pi r=6.4 cm circle
So the right answer is of option B.
Look at the attached picture
Hope it will be helpful to you..
Good luck for your test...
The answer to 7/12 divided by 2
Answer: 7/24
Step-by-step explanation: Think of the 2 as 2/1.
When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.
So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].
Now multiplying across the top and bottom we get 7/24.
Answer:
7/24
Step-by-step explanation:
the guy was right! (also khan said so)
The measure of an angle is 17°. What is the measure of its complementary angle?
Answer:
73°
Step-by-step explanation:
the measure of two complementary angles add up to 90
so We need to solve this equation to get the measure of its complementary angle :
x + 17 = 90
then
x = 90 - 17
= 73
Question 2 of 10
2 Points
What is the location of the point on the number line that is of the way from
A = 37 to B = 13?
A 19
B. 28
C. 31
D. 25
Answer:
31
Step-by-step explanation:
a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm
Answer:
area=250.12. perimeter=3380
Step-by-step explanation:
What is the answer? Plz need help
30x and 12 have a common factor of 6. So yes, this might have been the result of distributing the 6 in
6(5x - 2)
Answer:
30x - 12 = 2(15x - 6)
30x - 12 = 3(10x - 4)
30x - 12 = 6(5x - 2)
Step-by-step explanation:
30 and 12 have these factors in common: 2, 3, 6
There are three possible answers.
30x - 12 = 2(15x - 6)
30x - 12 = 3(10x - 4)
30x - 12 = 6(5x - 2)
Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need
Answer:
The number of batches of paving stones Eric needs is 5 batches
Step-by-step explanation:
Here we have the size of of one paving stone = 1 ft²
The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²
Therefore, the number of paving stones Eric needs per patio is given by the relation;
[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]
Since the paving stones are sold in batches of one dozen, we have ;
4 batches = 48 paving stones and 5 batches = 60 paving stones
Therefore, the number of batches of paving stones Eric needs = 5 batches.
(x - 3)² + (x - 1)² = 8
Identify the center and radius of each
Answer:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Step-by-step explanation:
I am going to assume you meant to write
[tex](x-3)^2+(y-1)^2 = 8[/tex]
Since if both variables were x it would not be a circle:
Then you can find the center and radius using the general formula of a circle:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where the center is at (h,k) and r is the radius
Therefore:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?
Answer: The volume is 480 in^3
Step-by-step explanation:
v= lwh
v= 12 * 5 * 8
v= 480 in^3
Answer:
Volume of the rectangular prism = [tex]480in.^{3}[/tex]
Step-by-step explanation:
Formula for the volume of a rectangular prism= Ah, where A= base area
& h= height
Base area(A)= Length×Width
= 12in.×8in.
= [tex]96in.^{2}[/tex]
Since height=5in.,
Volume= [tex]96in.^{2}[/tex]×5in.
= [tex]480in.^{3}[/tex]
Hope this helps!!!
Pls mark as brainliest
13th term of 2, 10, 18, 26
Answer:
192
Step-by-step explanation:
Add 8 started from 2 and keep going till you hit 192.
Answer:
a1 = 2 d = 8
n = 13
an = a1 + d(n-1)
a(13) = 2 + 8(13-1)
2 + 8(12)
2 + 96 = 98
Step-by-step explanation:
1. identify the terms
2. write down the arithmetic sequence formula and then replace the letters with their values.
3. do parenthesis first, then multiply by d.
4. add them together to get the 13th term