Given:
In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.
To find:
The length of o, to the nearest inch.
Solution:
According to cosine formula,
[tex]a^2=b^2+c^2-2bc\cos A[/tex]
Using cosine formula in ΔOPQ, we get
[tex]o^2=p^2+q^2-2pq\cos O[/tex]
On substituting the values, we get
[tex]o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)[/tex]
[tex]o^2=32400+14400-43200(-0.9877)[/tex]
[tex]o^2=46800+42668.64[/tex]
[tex]o^2=89468.64[/tex]
Taking square root on both sides.
[tex]o=\sqrt{89468.64}[/tex]
[tex]o=299.113[/tex]
[tex]o\approx 299[/tex]
Therefore, the length of o is about 299 inches.
Answer:299
Step-by-step explanation:
I confuses some one help me
Answer:
r=4
r=9-5=4
bkbjbjbjnmkmm
Which step did the student make and error in solving the equation?(step numbers in circled in blue font)
A.2
B.3
C.5
D.No mistake
Answer:
it is A, because they wrote that they added 2x to 5x but didn't actually do that. it should be 7x.
find the zeros of each function by factoring. f(x)=2x^2-7x-4 plzzz helpp meeee plzz
Evaluate (-1)(-1)(-3):
-5
3
O-3
O 5
Answer:
-3
Step-by-step explanation:
-1*-1*-3
-*-=+
1*-3=
-3
Use the following information to find x. Write the value of the variable.
B is between A and C:
9
AB = 3х + 6:
. BC = 15 - 2: and
9
АВ У ВС ,
Step-by-step explanation:
can you elaborate on this problem a bit more? I just want to give you an accurate anwser
name the irrational numbers from the list below A.-0.578999... B. 6 to the power of 3 C. sqrt 65
Answer:
A and C are both irrational
Answer:
A.-0.578999..
C. sqrt 65
Step-by-step explanation:
They cant be written as a simple fraction
help please
4 1/8c=__ fl oz
a.32 fl oz
b.33/64 fl oz
c.41 fl oz
d.33 fl oz
Answer:
D
Step-by-step explanation:
work out the circumference of this curcle. Give your answer in terms of pi and state its units
Answer:
:14pi and 43.98 (2dp)
Step-by-step explanation:
circumference =2xpixr
radius = 14 divide by2 =7
2x pi x 7=14pi
14pi =43.98229715
=43.98 (2dp)
HOPE THIS HELPS! HAVE A GREAT DAY
Answer:
[See Below]
Step-by-step explanation:
[tex]Hey~There![/tex]
_________________________
➜ First you need to set up the formula:
Formula: [tex]C=2[/tex]π[tex]*r[/tex][tex]2[/tex]π[tex]*7=43.9822971503[/tex]➜ Round:
To round, look at the number in the tenths place: [tex]9[/tex]. Now look to the right of that number, In this case it's an [tex]8[/tex]. So if the number is greater than or equal to [tex]5[/tex] then you round up. If it's less than So when we round [tex]43.9822971503[/tex] we get:- Thousandth: [tex]43.982[/tex]
- Hundredth: [tex]43.98[/tex]
- Tenth: [tex]44.0[/tex]
_________________________
So based on the above work we can conclude that the circumfrence of the circle is:
Exact Form: [tex]43.9822971503[/tex]Rounded Forms: [tex]43.982[/tex], [tex]43.98[/tex], [tex]44.0[/tex]Whole Number Form: [tex]44[/tex]_________________________
[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ヅ
Find the value of x in each case:
Answer:
x=19°
Step-by-step explanation:
Angles ∡DBE ≅ ∡ACD= 3x reason - angles with parallel arms
Angles ∡ADC and ∡ADB=95° are supplemental angles which means
∡ADC + ∡ADB=180° => ∡ADC = 180° - ∡ADB= 180°-95°= 85°
In the triangle we have ∡ADC + ∡ACD + ∡CAD = 180° =>
85 + 3x + 2x = 180 => 85 + 5x = 180 => 5x= 180-85 => 5x=95
x=95/5 => x=19°
Good luck!!!
Write the compound inequality shown by each graph
Answer:
2≤x<9
Step-by-step explanation:
Susie has three hours to
make 5 cakes. How many
minutes will each cake
require to make?
Please show how you did it step by step
Answer:
Susie has 36 minutes to make each cake.
Step-by-step explanation:
There are 60 minutes in an hour. Three hours had 180 minutes.
Divide 180 minutes by 5 cakes.
180/ 5 = 36.
Therefore we have 36 minutes per cake.
Good luck!
there's another!! 12 points
Let p(x)=(2)^(x). Describe how to new function n(x) is a transformation of the parent graph.
a. n(x)=(2)^(x)+3 b.n(x)=(2)^(x+3)
c. n(x)=(1)/(2)(2)^(x) d. n(x)=3(2)^(x)-4
e. n(x)=4*(2)^(x) f. n(x)=-(2)^(x)
Answer:
C
Step-by-step explanation:
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
–6x2 - 235 = -48x + 11
Answer:
6(x-5)2+288
Step-by-step explanation:
6x2-60x+438 Factor out a 6 from the first 2 terms.
6(x2-10x )+438 Do (b/2)2 to find the c term. (-10/2)2 = 25
6(x2-10x+25)+438-150 Adding 25 inside the parenthesis is really like adding 6(25)=150 to that side of the equation. To keep the equation in balance, you have to subtract 150 from the other term. Simplify
6(x-5)2+288
Answer:
6x2-60x+438 Factor out a 6 from the first 2 terms.
6(x2-10x )+438 Do (b/2)2 to find the c term. (-10/2)2 = 25
6(x2-10x+25)+438-150 Adding 25 inside the parenthesis is really like adding 6(25)=150 to that side of the equation. To keep the equation in balance, you have to subtract 150 from the other term. Simplify
6(x-5)2+288
Step-by-step explanation:
What is the fourth number if three of the numbers are 80, 95, and 85?
Can you help me please (x-2)(x-3)=0
=====================================================
Explanation:
Use the zero product property. This is the idea where if A*B = 0, then either A = 0 or B = 0.
This works because 0 times any number is always 0.
In this case A = x-2 and B = x-3
So,
(x-2)(x-3) = 0
x-2 = 0 or x-3 = 0
x = 2 or x = 3
------------------
If we plugged x = 2 back into the original equation, we get
(x-2)(x-3) = 0
(2-2)(2-3) = 0
(0)(-1) = 0
0 = 0
Which confirms x = 2
Let's do the same for x = 3
(x-2)(x-3) = 0
(3-2)(3-3) = 0
(1)(0) = 0
0 = 0
So x = 3 is confirmed as well.
What is the HCF of 12,30 and 48
Explain your answers please I do t understands
Answer:
6
Step-by-step explanation:
hcf stands for "highest common factor"
factors of 12= 1,2,3,4,6,12
factors of 30=1,2,3,5,6,10,15,30
factors of 48= 1,2,3,4,6,8,12,16,24
6 is the highest overlapping factor so its is the "hcf".
0.7(3s+4)−1.1s=7.9 I need a answer
First, expand the bracket
2.1s + 2.8 - 1.1s = 7.9
Next, collect like terms
s + 2.8 = 7.9
Lastly subtract 2.8 from 7.9 to get your answer.
s = 5.1
(Hope this helps! ^^)
Answer:
[tex]\boxed {s = 5.1}[/tex]
Step-by-step explanation:
Solve for the value of [tex]s[/tex]:
[tex]0.7(3s + 4) - 1.1s = 7.9[/tex]
-Use Distributive Property:
[tex]0.7(3s + 4) - 1.1s = 7.9[/tex]
[tex]2.1s + 2.8 - 1.1s = 7.9[/tex]
-Combine like terms:
[tex]2.1s + 2.8 - 1.1s = 7.9[/tex]
[tex]s + 2.8 = 7.9[/tex]
-Subtract [tex]2.8[/tex] to both sides:
[tex]s + 2.8 - 2.8 = 7.9 - 2.8[/tex]
[tex]\boxed {s = 5.1}[/tex]
So, the value of [tex]x[/tex] is [tex]5.1[/tex].
HELP..
which statement about the lines is ture
A.the lines are the same
B.the lines are parallel
C.the lines are perpendicular
D.the lines intersect but are not perpendicular.
I WILL GIVE U MY COINS...
The sum of two consecutive integers is at most 45. What is the larger integer?
sean said that the slope of the line is 3. is he correct?
Answer:
yes
Step-by-step explanation:
HELPPP
12. Which line has an x-intercept of -1 and a
y-intercept of 1?
A. y = -x
B. x - y = 1
C. x - y = -1
D. x + y = 1
Answer:
#4
Step-by-step explanation:
1) The y intercept is 0.
2) Convert to slope-intercept form:
2x + 3y = 12
3y = -2x + 12
y = -2/3 x + 4
So the y-intercept is 4.
3) Write in point-slope form:
y + 4 = 2 (x - 1)
Now convert to slope-intercept form:
y + 4 = 2x - 2
y = 2x - 6
So the y-intercept is -6.
4) The y-intercept is 5.
So of the four lines, #4 has the largest y-intercept.
The line with an x-intercept of -1 and a y-intercept of 1 is C. x - y = -1
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept
Given the line x - y = -1, the x intercept is at y = 0, hence:
x - 0 = -1
x = -1
The y intercept is at x = 0, hence:
0 - y = -1
y = 1
The line with an x-intercept of -1 and a y-intercept of 1 is C. x - y = -1
Find out more at: https://brainly.com/question/18261159
what is the measure of angle MBT
Answer : The measure of angle MBT is 28°.
Step-by-step explanation :
As we see that the ∠NBM is equal to ∠MBT.
That means,
∠NBM = ∠MBT
Given:
∠NBM = (17x - 6)°
∠MBT = (5x + 18)°
According to question:
∠NBM = ∠MBT
(17x - 6)° = (5x + 18)°
17x - 5x = 18° + 6°
12x = 24°
x = 2°
So,
∠NBM = (17x - 6)° = [(17 × 2) - 6]° = 28°
∠MBT = (5x + 18)° = [(5 × 2) + 18]° = 28°
Hence, the measure of angle MBT is 28°.
Answer:
the answer is 28
Step-by-step explanation:
Can anybody help me on this math question for number 3 and Find the measure of each interior angle of the regular polygon?
Answer:
the measure of each angle is 150.
Step-by-step explanation:
in order to find this you need to find the measure all the degrees which can be found with (n-2)x180
in this case this is (12-2) x 180
so you would get the total degrees in the inside is 1,800
then there are a total of 12 interior angles so divide 1,800 by 12 to get 150 for each interior angle (btw this is only possible since this is a regular polygon meaning that every one of the angles are the same )
Given h(x) = x^ - 2, what is the value of h(-3) ?
^ = is exponent 2
Answer:
1/9Step-by-step explanation:
Given
h(x) = x^ - 2 h(-3) = ?Substitute x with -3
h(-3) = (-3)^-2 = 3^-2 = 9^-1 = 1/9Answer:
h(-3) = 7
Step-by-step explanation:
h(x) = x^2 - 2
h(-3) = (-3)^2 - 2
h(-3) = 9 - 2
h(-3) = 7
Best of Luck!
A $240 suit is marked down by 10% what the sale price
Sales price of suit is equals to $216 after applying 10% discount.
What is discount?
" Discount is deduction by some percent or amount in the original price of any product."
Formula used
Sales price = Marked price - discount amount
Discount = ( Marked price × discount %) /100
According to the question,
Marked price of the suit= $240
Discount % on the suit =10%
Substitute the value in the formula we get,
Discount = (240 × 10) / 100
= $24
Sales price = $240 - $24
= $216
Hence, Sales price of suit is equals to $216 after applying 10% discount.
Learn more about discount here
https://brainly.com/question/3541148
#SPJ2
Help me solve this problem please
Answer:
[tex]\frac{w-9}{5} =y[/tex]
Step-by-step explanation:
w=9x+5y
w-9x=5y
[tex]\frac{w-9}{5} =y[/tex]
Hope this helped you
<3
Red
Chima is solving a division problem after riding the problem down she move the decimal point directly up to the quotient whitch of these is true of china's division
A: it's 0
B: it's negative
C: it's a decimal
D: it's a whole number
Answer:
c
Step-by-step explanation:
if there is a decimal in the equation then it is always going to end up a decimal
Please help me with this question!
Answer:
A
Step-by-step explanation:
310$
marble middle school paid $500 for 16 graphing calculator
Answer:
31.25 I believe
Answer:
$31.25 per graphing calculator
Step-by-step explanation:
The question isn't there so I'm going to guess that it is asking for what is the cost of one calculator
$500/16=
$31.25 per graphing calculator