Answer:
2. sinθ= cos 35°
sinθ= sin(90°-35)
θ= 55°
3. cos4θ= sin5θ
cos 4θ= cos (90-5θ)
4θ=90°-5θ
collect like terms
4θ+5θ=90°
9θ=90° (divide both sides by 9)
therefore θ=10°
Please help me fast!
Answer:
39.5
Step-by-step explanation:
Let's figure out the equations of l and m first.
For line l, we see that the coordinates (0, 5) and (3, 0) are on the line. The equation of a line is y = mx + b where m is the slope and b is the y-intercept.
We can find the slope, which is the difference in the y-coordinates divided by the difference in the x-coordinates:
m = slope = (5 - 0) / (0 - 3) = 5/-3 = -5/3
The y-intercept of a line is the place where the line crosses the y-axis. For line l, it is at (0, 5), so b = 5. Our equation is thus: y = (-5/3)x + 5.
For line m, we see that the coordinates (0, 2) and (7, 0) are on the line. The slope is:
m = slope = (2 - 0) / (0 - 7) = 2/-7 = -2/7
The y-intercept is at (0, 2), so b = 2. Our equation is hence: y = (-2/7)x + 2.
Taking the two equations, let's set 15 equal to y and solve for x:
y = (-5/3)x + 5 ⇒ 15 = (-5/3)x + 5 ⇒ 10 = (-5/3)x ⇒ x = -6
y = (-2/7)x + 2 ⇒ 15 = (-2/7)x + 2 ⇒ 13 = (-2/7)x ⇒ x = -91/2
Let's find the difference:
-6 - (-91/2) = 39.5
The answer is thus 39.5.
~ an aesthetics lover
please help with this too
Answer:
Step-by-step explanation:
Garden roller is in the shape of cylinder.
So, one revolution = Curved surface area of the cylinder
diameter = 70 cm
radius = 70/2 = 35 cm
h = 100 cm
Curved surface area of the cylinder = 2πrh
= [tex]2*\frac{22}{7}*35*100[/tex]
= 22000 square cm
Area covered in 15 revolutions = 15 * 22000
= 330000 square cm
2) Coin
diameter = 22 mm
r = 22/2 = 11 mm
Volume of coin = 66 mm
πr²h = 66
[tex]\frac{22}{7}*11*11*h=66\\\\\\h=\frac{66*7}{11*11*22}\\h=0.17 mm[/tex]
Expression Name Expression E 3.8 + 0 F 0 + 0.5 G –8 + 0 H 9 ÷ 0 The table above shows four numeric expressions. Which expression is an integer when it's evaluated? Question 2 options: A) H B) E C) F D) G
Answer:
D) G
Step-by-step explanation:
E evaluates to 3.8 +0 = 3.8 . . . not an integer
F evaluates to 0 +0.5 = 0.5 . . . not an integer
G evaluates to -8 +0 = -8 . . . an integer
H evaluates to 9/0 = undefined . . . not an integer
__
Expression G evaluates to an integer.
SOMEONE PLS HELP I WILL GIVE BRAINLIEST
factor x^(n+2)+x^(2)
pls explain too :>
Answer:
x² (x^n + 1)
Step-by-step explanation:
factor x^(n+2) + x²
= x^(n+2) + x²
= x^n • x² + x² (using law of indices)
= x²(x^n + 1)
is x=-3 a function plz respond in one minute
Answer:
x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.
Step-by-step explanation:
is the square root of 34 rational or irrational
Answer:
irrational
Step-by-step explanation:
If a square root is not a perfect square, then it is considered an irrational number.
The square root of the number 34 is not a rational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The square root of the number 34
When evaluated, we have
The square root of the number 34 = √34
So, we have
The square root of the number 34 = 5.83.....
The above number cannot be represented by the quotient of 2 integers
Using the above as a guide, we have the following:
We can conclude that the number is an irrational number
Read more about rational number at
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Find 83 1 3 % of 384 please help I really need it
Answer:
320
Step-by-step explanation:
0.83333333x384=319.9999999=320
AssAssessment captures blank growth
Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, which expression represents the total weight of the parts and their packaging? And if each part weighs 6 pounds, what will the total weight of the shipment be? A. The expression is 2(x + 8), and the weight is 28 pounds. B. The expression is 8(x – 2), and the weight is 32 pounds. C. The expression is 8x – 2, and the weight is 46 pounds. D. The expression is 8x + 2, and the weight is 50 pounds. E. The expression is 8(x + 2), and the weight is 64 pounds. Reset Next
Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.
Step-by-step explanation:
Given: Number of machine parts in a batch = 8
weight of packaging for each part = 2 pounds
Let x be the weight of each part ( in pounds).
Weight of each part with packaging = x+2
Then, Total weight of the parts and their packaging = (Number of machine parts) x (Weight of each part with packaging )
= 8(x+2)
If each part weighs 6 pounds, then put x= 6
Total weight of the parts and their packaging = 8(6+2)
= 8 x 8 = 64 pounds
Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .
Here is what we know:
8 machine parts
each part = x pouunds
packaging for each part is 2 pounds so 16 pounds for packaging
If y=total weight wiith that information we can form this equation
y=8x + 16
If each part equals 6 pounds the total shipment will be
y=8x+16
y=8(6) + 16
y= 48 + 16
y=64
Simplify the inequalities and match them with the graphs that represent them. x + 1 15 7x 12 arrowRight arrowRight arrowRight arrowRight Reset Next
Answer:
I dont quite understand the inequalities, I think it might be the way is shows up, bit the first graph represents x equals all numbers less than 6. The second graph is all numbers greater than 6. Third graph is all numbers less than 7. forth graph is all numbers greater than 7.
Step-by-step explanation:
If you want to give me a better representation of the inequalities, I would be more than happy to help you more!! :)
Hope this helps!!
I NEED HELP :_( Which of the following points is in the solution set of y > -x∧2 + 5? (0, 5) (2, 4) (1, 3)
Answer:
[tex]\huge\boxed{(2;\ 4)}[/tex]
Step-by-step explanation:
We have
[tex]y>-x^2+5[/tex]
Put the coordinates of the given points and check the inequality:
For (0; 5) → x = 0; y = 5
[tex]5>-0^2+5\\5>0+5\\5>5\qquad\bold{FALSE}[/tex]
For (2; 4) → x = 2, y = 4
[tex]4>-2^2+5\\4>-4+5\\4>1\qquad\bold{TRUE}[/tex]
For (1; 3) → x = 1, y = 3
[tex]3>1^2+5\\3>1+5\\3>6\qquad\bold{FALSE}[/tex]
Answer:
y>-x²+5
taking(0, 5)
5>-0²+5
5>5 false
taking 2,4
4>-2²+5
4>-4+5
4>1 true
taking 1,3
3>-1²+5
3>6false
so 2,4 is your answer
In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
Answer: 16384
Step-by-step explanation:
Given: Total marbles = 7 (All are distinct)
Total jars = 4
Assume that, the jar is empty.
When we put marbles in the jar, we need to choose jar each time.
For each marble, total choices = Total jars = 4
Then, by using the fundamental counting principle,
The number of ways to put seven marbles in different colors into four jars =
[tex]4^7[/tex]
= 16384
Hence, the required number of ways =16384
Answer:
your answer is 16384
Step-by-step explanation:
have a nice day.
Help help help help
Plz
Answer:
Step-by-step explanation:
Probability of getting any number less than 6 = 2/6 =1/3
So, It is unlikely
Answer:
2/6 or 1/3
Step-by-step explanation:
the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify
Pls help with this question thank u all
Answer:
4 cm (A)
Step-by-step explanation:
triangle BAC is just a larger version of triangle EAD. given that ED is 5cm, and BC is 10cm, triangle BAC must be twice the size of EAD. since the ratio of AD to ED is 4:5, and BC is twice the size, all we need to do is multiply both sides by 2 to find length AC. 4*2 = 8. now we can subtract length AD from AC to get CD. 8 - 4 = 4.
sorry if what i wrote is a little confusing
The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain
Answer:
It states that assuming the trunk is 96" long. So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.
Step-by-step explanation:
The length of the diagonal of the trunk is 56.356011 inches.
What is Pythagoras Theorem?A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.
Given:
height of the trunk= 26 inches
length of the trunk= 50 inches
using Pythagorean theorem,
diagonal length of the trunk=√(height² +length²)
=√(26²+50²)
=√3176
=56.356011 inches
Hence, the length of the diagonal of the trunk is 56.356011 inches.
Learn more about this concept here:
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order the following values from least to greatest: 22.4, -28, 27, -17
Answer:
asDawas
Step-by-step explanation:
sadasda
Answer: -28, -17, 22.4, 27
hope this helps
A cylinder has a volume of 675.1 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? (Assume = 3.14)
Answer:
8.6 cm
Step-by-step explanation:
V=pi r-squared h
diameter of 10 means radius of 5
675.1=3.14x5x5xh
675.1=78.5h
8.6
if the edges of the base of a rectangular prism are 8 cm and 6 cm, and the diagonal is 10√2, what is the volume of the solid?
Answer:
221.12 cm^3
Step-by-step explanation:
Imagine that you have the 6cm side of the prism base facing you, and that you cut the prism in half through the vertex. Doing this will form two triangles. The hypotenuse of the triangle is the same as the "diagonal" that is 10√2 cm. The base of this triangle is half of the 6" side, or 3 cm.
Use the Pythagorean Theorem to determine the height (h) of the prism:
h^2 + 3^2 = (10√2)^2, or
h^2 = 200-9 = 191
Then the height is √191 cm
and the base area is 6cm times 8 cm, or 48 cm^2
and so we end up with the volume V = (1/3)(base area)(height), or
V = (1/3)(48 cm^2)(√191 cm), or
roughly 221.12 cm^3
Which point is the image of R? Choose one answer: A B C D
Answer:
point D
Step-by-step explanation:
moving 270 degrees clockwise from point R would result in the point being in quadrant I
point D is the only point in quadrant I
Find the path of the numbers from the upper left corner to the bottom right corner. The sum of the numbers must be equal to the number at the exit arrow. You are allowed to move either down or to the right only.
Answer:
8, 11, 19, 1, 6, 18, 3
Step-by-step explanation:
8+11+19+1+6+18+3=66
Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?
Answer:
210.8 (mean for Luis), 241.5 (mean for Darcy)
Step-by-step explanation:
Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108
2108/10 = 210.8 (mean for Luis)
Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415
2415/10 = 241.5 (mean for Darcy)
Answer:
it is 210.8
Step-by-step explanation:
Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]
Answer:
Step-by-step explanation:
Rad [0,2[tex]\pi[/tex]]
f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)
--[cos(x)-1/2]²+5/4=f(x)
when cos(x)=1/2,the f(x) has Max=5/4
cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)
Write the function f(x) = x^2 + 8x + 12 in vertex form. Enter all work. Please help me.
Hello!
Answer:
f(x) = (x + 4)² - 4
Step-by-step explanation:
Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:
f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²
Simplify:
f(x) = (x² + 8x + 16) + 12 - 16
Subtract to find the 'k' value:
f(x) = (x + 4)² - 4. This is the equation in vertex form.
Write them in a standard form.
The equation turns into:
400+70+6+0.6+0.03+0.07
which equals:
476.637
The second equation becomes 4+ 68/1000, which becomes 4.068.
Hope this helps!
Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?
Answer: she needs to work 8 hours
Step-by-step explanation:
PLEASE READ BEFORE PROCEEDING! I want you all to get the answer without wasting money so you can still answer with something but I will still place the answer at the end of the question. What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33 ANSWER : C. 2 and 23
Answer:
The answer is C:2 and 23
Step-by-step explanation:
Answer:
U have told the answer in the ques. then why r u asking question.
U know the answer already...
pls help !
simplify
Answer:
B
Step-by-step explanation:
Sqaure roots can be rewritten as fractions.
The numerator will be rewritten as 6^(1/4)
The denominator will he written as 6^(1/5)
Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)
The denominator stays the same so you are left with 1/20 which is still the power over 6
6^1/20
Answer:
[tex]6^{\frac{1}{20} }[/tex]
Step-by-step explanation:
[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]
1/4 - 1/5 = 1/20
-p + 3/5a -1/10q + 1/9-1/9p+2 1/3p
Step-by-step explanation:
1.) first simplify or combine like terms.[tex]\frac{3a}{5} -p-\frac{p}{9}+\frac{7p}{3} -\frac{q}{10}+\frac{1}{9}[/tex]
2.) then condense. [tex]\frac{3a}{5} +\frac{11p}{9}-\frac{q}{10}+\frac{1}{9}[/tex].
this is the question pls help me 4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.
Answer:
[tex]\frac{n}{4}-1[/tex]
Step-by-step explanation:
If we have a pizza that has [tex]n[/tex] slices and we want to split it between 4 friends, then each friend will get [tex]\frac{n}{4}[/tex] slices.
Now, Harris is one of those friends so he receives [tex]\frac{n}{4}[/tex] slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of [tex]\frac{n}{4}-1[/tex].
Hope this helped!
Answer:
(n/4 - 1) slices
Step-by-step explanation:
The pizza would be divided into n slices, which in turn would be split among 4 people:
n slices
----------------- = (n/4) slices per person
4 people
Harris must have eaten (n/4 - 1) slices.
help me meeeeeeeeeeee
Answer:
15 pupcakes
Step-by-step explanation:
Purple is 1 out of 4 sections
1/4 times the number of total pupcakes
1/4 * 60
15