Answer:
a. infinite solutions, answer is x = 30, identity equation
b. no solution, a contradiction equation
c. no solution, a contradiction equation
Step-by-step explanation:
x² = 30² +21² -2(30)(21) Cos 123°
Answer:
x ≈ 44.69
Step-by-step explanation:
x² = 30² +21² -2(30)(21)Cos123°
x² = 900 + 411 - 1260cos123°
x² = 1311 - 1260cos123²
~Take square root of both sides
x = √1997.245184111
x ≈ 44.69
Best of Luck!
find the distance from point A (-1/4,5) to the line -x+2y=14. round your answer to the nearest tenth
Answer:
543
Step-by-step explanation:
To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown angle of depression. If the beam of light shines on the sea surface at a point that is 865 feet away from the base of the lighthouse, what is the angle of depression?
Answer:
[tex]\approx 6^\circ[/tex]
Step-by-step explanation:
Given that:
Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.
The angle of depression is unknown.
Distance of the point at sea surface from the base of lighthouse is 865 ft.
This situation can be modeled or can be represented as the figure attached in the answer area.
The situation can be represented by a right angled [tex]\triangle ABC[/tex] in which we are given the base and the height of the triangle.
And we have to find the value of [tex]\angle BAD \ or \ \angle C[/tex] (Because they are the internal vertically opposite angles).
Using tangent ratio:
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
[tex]tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ[/tex]
Therefore, the angle of depression is: [tex]\approx 6^\circ[/tex]
The premium membership at a health club is $40 per month. This is
$15 more than the cost of a standard membership. What is the cost of a standard
membership? Do not type the $ in your answer.
Quick I need help!!!!! Plzzz help meeeee!!??!!!??!?
Answer: 25
Step-by-step explanation:
8 - 2x + 4 + 8x – 21
Answer: 6x -9
Step-by-step explanation:
Answer:
6x - 9
Step-by-step explanation:
8 - 2x + 4 + 8x - 21
combine like terms
6x - 9
Is 45/7 a rational number
Answer:
yes
Step-by-step explanation:
it comes to an end im so sorry if this is wrong
Answer:
It is irrational, if its not a perfect square. Since 45 is not a perfect square, it is an irrational.
Step-by-step explanation:
what is the solution to 2/3a - 1/6 = 1/3
Answer:
Step-by-step explanation:
a=3/4
A baker at a bakery had made 20 pastries after 1 hour of work. After 8 hours, he had made 83 pastries. M= ?
9514 1404 393
Answer:
9 pastries per hour
Step-by-step explanation:
In the 7 hours after the first, the baker made 83 -20 = 63 more pastries. That rate is ...
(63 pastries)/(7 hours) = 9 pastries per hour
_____
Additional comment
We have chosen to interpret the question as asking for the slope of a line on a graph of pastries vs. hours. Such a graph would show you the baker started with 11 pastries already made, so didn't actually make 20 in the first hour.
A flagpole at a right angle to the horizontal is located on a slope that makes an angle of \large 10^\circ with the horizontal. The flagpole casts a 30-meter shadow down the slope. The angle of elevation from the tip of the shadow to the sun is \large 25^\circ. What is the length of the flagpole to the nearest tenth of a meter?
Answer:
13.1 m
Step-by-step explanation:
From the diagram attached :
Using Sine rule :
a / sin A = b/Sin B = c / sin C
h / sin 25 = 30 / sin 75
Cross multiply :
h * sin 75 = 30 * sin 25
0.9659258 * h = 30 * 0.4226182
h = 12.678547 / 0.9659258
h = 13.125798
Length of flagpole h = 13.1 m
Answer:15.5
Step-by-step explanation:
A line passes through point (-10, – 4) and has a slope of -3/2
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
9514 1404 393
Answer:
3x +2y = -38
Step-by-step explanation:
When a point and the slope are given for a line, the point-slope form of the equation is useful.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = -3/2(x -(-10))
y + 4 = -3/2x -15
Multiplying by 2 gives ...
2y +8 = -3x -30
Adding 3x-8, we get ...
3x +2y = -38
Answer:
3x + 2y = -38
Just plug in the x and y values to get the answer!
We already know that when x is -10 y = -4 so all we have to do is substitute them.
y = mx + b
-4 = -3/2(-10) + b
-4 = 30/2 + b
-4 = 15 + b
-19 = b
A block of cheese measuring 5 inches by 2 inches by 3 inches is coated in a very thin layer of wax. The cheese is sliced into 240 cubes with half-inch edges. How many cubes will not have any wax on them?
Answer:
64
Step-by-step explanation:
it's 64
Felicia drew a triangle with side lengths that measured 15
cm, 18 cm and 27 cm. To determine if Felicia drew a right
triangle, she can use the equation:
O A. 15+18= 27
O B. 152 + 272 = 182
O C. 15 + 18 = 27
O D. 182 + 152 = 272
Answer:
A
Step-by-step explanation:
I need 3 more questions
Answer:
The answer is 88%
Step-by-step explanation:
To find a percentage, just divide the top number by the bottom. 22 divided by 25 is 0.88 which means 22 out of 25 is 88%.
Another way to do it is to multiply both 22 and 25 by 4. The denominator will now equal 100 so now the top number will be the percentage. 22*4 is also 88.
Hope this helped.
Maria ha acquistato un libro, scontato del 15%, al prezzo di 34 euro. Dopo avere letto 1/4 delle pagine del libro. Legge 2/3 delle pagine rimanenti e a questo punto le restano da leggere 104 pagine. Determina:
Il prezzo del libro prima dello sconto
Il numero di pagine complessive del libro
La percentuale che rappresenta il numero di pagine che restano da leggere a Maria rispetto al numero di pagine complessivo.
Answer:
a) 40 euros
b) 416 pages
c) 25%
Step-by-step explanation:
This question can be translated to:
Maria bought a book, discounted by 15%, at the price of 34 euros. After reading 1/4 of the pages of the book. She reads 2/3 of the remaining pages and at this point, she has 104 pages left to read. Determine:
a) The price of the book before the discount
b) The total number of pages in the book
c) The percentage that represents the number of pages that Maria has left to read out of the total number of pages.
I will answer in English.
a) If P is the price of the book, with a discount of the 15% the price will be:
P' = P - P*(15%/100%) = P - P*0.15 = P*0.85
and P' = 34 eur
34 eur = P*0.85
34 eur/0.85 = 40 eur = P
The original price was 40 euros.
b) Now suppose that the book has N pages.
First, she reads 1/4 of the pages, then we have:
N - (1/4)*N = (3/4)*N pages left.
Then she reads (2/3) of the remaining (3/4)*N pages.
Then there are:
(3/4)*N - (2/3)*(3/4)*N = (1/3)*(3/4)*N = (1/4)*N
And we know that at this point, there are 104 pages left, then:
104 = (1/4)*N
104*4 = N = 416
c) The total number of pages is 416, this is the 100%
there are 104 pages left in the book, this will represent X%, and we want to find the value of X.
then:
416 = 100%
104 = X%
Let's take the quotient of those two equations:
(416)/(104) = (100%/X%)
Now let's isolate X%.
X% = (104/416)*100% = 0.25*100% = 25%
Example 1: Marcus buys a varsity jacket from a clothing store in Arlington. The price of the jacket is $80 and the sales tax is 8%. What is the total cost of the jacket?
Answer:
$86.40
80 + 8%= 86.40
Answer:
$86.40..
Step-by-step explanation:
80 + 8%= 86.40
which equation is equivalent to 3/2x -4y+1=0
Answer:
the fourth option
Step-by-step explanation:
i googled it
Answer:the 2nd to the very bottom one
Step-by-step explanation:
Don’t wanna tell
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you bake?
Answer:
21
Step-by-step explanation:
[tex]\frac{7}{5}[/tex] = [tex]\frac{x}{15}[/tex]
x = 21 chocolate chip cookies.
There are 21 chocolate chip cookies do you bake.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.
Given that;
The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5.
And, You bake 15 oatmeal cookies.
Now,
Since, The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5.
Hence, The amount of chocolate chips = 7x
And, The amount of oatmeal cookies = 5x
Here, You bake 15 oatmeal cookies.
Hence, We get;
The amount of oatmeal cookies = 5x = 15
So, we get;
⇒ 5x = 15
⇒ x = 3
So, The amount of chocolate chips = 7x
= 7 × 3
= 21
Thus, There are 21 chocolate chip cookies do you bake.
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ2
A holiday costs £1900. Work out the
price after a 9% discount.
Answer:
$1729
Step-by-step explanation:
[tex]\frac{100-9}{100} * 1900[/tex]
Answer:
1729
Step-by-step explanation:
1900 divided by 100 is 19
1% equals 19
1 times 9 equals 9
19 times 9 equals 171
171 = 9%
171 - 1900 = 1729
price after a 9% discount is 1729
Please help thank you so much
Answer:
No
Step-by-step explanation:
It would work for the bottom equation, but plugging in to the top equation would equal -4>3, which is false.
Answer:
no
when the point is plugged into the first inequality, it does not work therefore it is not a solution
-x+2y=6 and -x+8y=12 solve by elimination (help please)
Answer:
Step-by-step explanation:
-x+2y=6
-x+8y=12
_________
-6y = -6 ( subtracting 2 equations)
y=1
x=-4
I need the answer ASAP
Answer:
[tex]p\leq 56[/tex]
Step-by-step explanation:
Plz mark brainliest!
Find the greatest and least values of arg z if (z +2i = 1)
Answer:
1 is least 2 is greatest
Step-by-step explanation:
Unit : Negative Numbers < Addition & Subraction !! Answer In 20 Minutes !!!
Which Number Represents the expression - 2 + ( - 7/2) ?
Answer:
-5 1/2
i hope this helps <3
Answer:
[tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].
i.e.
[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]-2+\left(\frac{-7}{2}\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]=-2+\frac{-7}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-2-\frac{7}{2}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2=\frac{2\cdot \:2}{2}[/tex]
[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]
[tex]=\frac{-2\cdot \:2-7}{2}[/tex]
[tex]=\frac{-11}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{11}{2}[/tex]
Therefore, [tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].
i.e.
[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]
Someone answer asap please
Answer:
Yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation: it crosses the x axis two times
A club has 800 members.
100 of the members were randomly picked and were asked if the dues should be raised.
6 of the members said that dues should be raised.
Based on these results, about how many members in the club would be expected to say that dues should be raised? HELP
Answer:
48
Step-by-step explanation:
800/100=8.
6/100 said yes. so 6*8 which is 48.
Hope this helps plz hit the crown :D
2. Are the two expressions
equivalent when x= 5?
9(4x + 2)
36x + 18
Circle one:
Yes
No
Work Space
Answer:
Hi, I'm new can I get marked as brainlieser? It would be highly appreciated.
Hope my answer helps :)
lets get into answering your question.
Step-by-step explanation:
first sub x into the equation (x=5) [it is already given]
9 ( 4*5 + 2) 36*5 + 18
= 9 (20+2) 180+18
= 9(22) + 198
198+198
= 369
369 makes a circle So YES
it is a circle.
4 x + 6 < − 6 Help me please
Answer:
x<-3
Step-by-step explanation:
Let's do this step by step:
1) isolate 4x : 4x<-6-6
2) so then we get : 4x<-12
3) isolate x : x< -12/4
WHICH GETS YOU TO: x<-3
Answer:
4x + 6 < -6 = x < −3
The value of x = -2 or greater
i need help with 4, 5, and 6
Answer:
To find the slope you do rise/run and the slope for 4 is 6/5 the slope for 5 is ZERO slope or 0/5 I know because it goes 0 times up and 5 times to the right. And for 6 is UNDEFINED slope or 6/0 because it goes 6 times up and 0 time to the sides
Step-by-step explanation:
Answer:
4. 6/5 5.zero 6. undefined
Step-by-step explanation:
so you do y1-y2/x1-x2
4-(-2)/2-(-3)
6/5
5. because it doesn't go up or down
6. because the x doesn't change
The model was shaded two different ways to show a product.
A fraction bar divided into 8 parts. 6 parts are shaded blue and 4 parts are shaded pink."it's a pitcher"
Which product is shown by the model?
1.One-half × One-eighth
2.One-half × One-fourth
3.One-half × Three-eighths
4.One-half × Three-fourths
Awnser: 4. 4/8 simplified=1/2 6/8 simplified=3/4.
Answer:
c
Step-by-step explanation:
i got irt right on the test
Which can be used to expand the expression below?
5 (3 x minus StartFraction 6 over 7 EndFraction)
associative property
commutative property
distributive property
subtracting
Answer:
the 3ed one distributive property
Step-by-step explanation: