Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]
Given:
In a right triangle ABC,
[tex]\sin M=\cos 61^\circ[/tex]
To find:
The value of M.
Solution:
We have,
[tex]\sin M=\cos 61^\circ[/tex]
It can be rewritten as:
[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]
[tex]\sin M=\sin 29^\circ[/tex] [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]
On comparing both sides, we get
[tex]M=29^\circ[/tex]
Therefore, the value of M is 29 degrees.
The distance between points A and B is?
Answer:
√85
Step-by-step explanation:
A (-3 , 4) B (4 , -2)
AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85
AB = √85
descending order of 2.061,0.66,2.612,6.21,2.62
Answer:
Step-by-step explanation:
Descending order:
6.21 ; 2.62 ; 2.612 ; 2.061 ; 0.66
First see the whole number. write the number with biggest whole number.
6.21
2) Then three numbers have 2 . So, now compare the tenth place.
Two numbers have same place value 2.62 and 2.612.
Compare the hundredth place value in these two numbers.
So, 2.62
3) 2.612
4) 2.061
5) 0.66 is the smallest
What is the value of x?
Answer:
i dont know but the answer will be 1can anyone help with these four⁉️ Will mark brainliest:D !!
Answer:
Step-by-step explanation:
From the classroom window, Melissa finds that the angle of elevation to the top of the flagpole is 22 degrees. Her teacher tells them that they are approximately 18 feet up from the ground and that the flagpole is 50 feet away from the building. What is the height of the flagpole based on this information to the nearest tenth of a foot?
Answer:30
Step-by-step explanation:
A Ferris wheel makes one complete rotation every 4 minutes. How far, the nearest tenth, will a rider who is seated 40 feet from the center travel in 10 minutes?
Step-by-step explanation:
600 ft
is your answer
I hope it helps
which equation has x=4 as the solution
Jane and Tannic split the cost of buying a video game. The game costs$25, and the sales is 6% markup. How much do they each pay?
Given:
The cost of game = $25
Sales markup = 6%
To find:
How much do they each pay?
Solution:
The sales markup is 6% of the cost.
[tex]\text{Sales markup}=25\times \dfrac{6}{100}[/tex]
[tex]\text{Sales markup}=1.5[/tex]
Now, the total cost after sales markup is:
[tex]25+1.5=26.5[/tex]
Jane and Tannic split the cost of buying a video game. It means they divide the cost in two equal parts. So, the amount paid by each one is
[tex]\dfrac{26.5}{2}=13.25[/tex]
Therefore, Jane and Tannic will pay $13.25 each .
Show that 0-58200-48826-5 is a valid UPC number.
Answer:
Proved
Step-by-step explanation:
Given
[tex]UPC = 0-58200-48826-5[/tex]
Required
Show that it is valid
Add up the elements at odd positions
[tex]Odd = 0 + 8 + 0 + 4+8+6[/tex]
[tex]Odd = 26[/tex]
Multiply by 3
[tex]Product = 26 * 3[/tex]
[tex]Product = 78[/tex]
Add up the elements at even positions
[tex]Even = 5 + 2 + 0 + 8 + 2 + 5[/tex]
[tex]Even = 22[/tex]
Add up both results
[tex]Result = 78 +22[/tex]
[tex]Result = 100[/tex]
Take modulus of 10
[tex]Result \% 10 = 100 \% 10[/tex]
[tex]Result \% 10 = 0[/tex]
Since the result of the modulus is 0, then the number is valid
pls answer this for me now
Answer:
(3) 48
Step-by-step explanation:
The angle inside the ABC one is two times its angle size
5 mins left!!!!!!!!
Does the residual plot show that the line of best fit is appropriate for the data?
No, the points are in a curved pattern.
No, the points are evenly distributed about the x-axis.
Yes, the points are in a linear pattern.
Yes, the points have no pattern.
Answer:
No, the points are evenly distributed about the x-axis
Step-by-step explanation:
Hope its right , if not so advance sorry :)
I need these 4 I really don't understand this
Answer:
6:
[tex] {x}^{2} - 2x - 3 \\ = (x - 3)(x + 1) \\ when \: y = 2 \\ x = 1 \\ vertex \: is \: (1, \: 2)[/tex]
7:
[tex] {x}^{2} = - 625 \\ x = \sqrt{ - 625} \\ x = \sqrt{625} \times \sqrt{ - 1} \\ x = 25 \times \sqrt{ {i}^{2} } \\ x = 25 \times i \\ x = 25i[/tex]
Find the interest rate if £6400 has a final value of £8334 in 3 years. Give your answer to 1 d.p
Answer:
Step-by-step explanation:
6400(1+i)³=8334
(1+i)³=1.3021875
∛(1+i)³=∛(1.3021875)
1+i= 1.092
i= .092
I guess if you were to round to 1 decimal point it'd be .1
Which answer is it?
Answer:
C
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answer: -9/2
Step-by-step explanation:
Answer:
x = -9/2
Step-by-step explanation:
Use the law of exponents
(a^p)^q = a^(pq)
here on the left-hand-side
a=3
p=3
q=2x+6
so
(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)
The right-hand-side = 3^(2x)
Equate exponents of both sides
6x+18 = 2x
6x-2x = -18
4x = -18
x = -9/2
solve for X and Y. be sure to solve for both.
Answer:
x = 48; y = 13
Step-by-step explanation:
20/5 = 52/y
4 = 52/y
4y = 52
y = 13
20/5 = x/12
4 = x/12
x = 4 * 12
x = 48
Answer:
x = 48, y = 13
Step-by-step explanation:
Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48
What is the slope of the line
Answer:
below
Step-by-step explanation:
∆y/∆x
2.3/1.5
= 1.533
A $108,000 down payment would be? of the purchase price.
Answer: 45%
Step-by-step explanation:
You need to purchase price to answer this question and I believe that purchase price to be $240,000.
The question wants to know the percentage of the purchase price that the down payment is and to find that out, use the following formula:
= Down payment / Purchase price * 100%
= 108,000 / 240,000 * 100%
= 45%
Answer:
45%
Step-by-step explanation:
.......................
does anyone know the answer?
Answer:
x = 145
Step-by-step explanation:
The angles are same side exterior angle and same side exterior angles are supplementary
x +35 =180
Subtract 35 from each side
x = 180-35
x =145
Answer:
x=145
Step-by-step explanation:
180 -35 = 145
angle in a straight line add up to 180
x=145
F angle /corresponding angle are the same
Comes with a picture
multiple-choice answer please help I need immediate help
Thank youuuu
Answer:
The answer is A. 31,250.
Step-by-step explanation:
To solve for the 7th term in the geometric sequence, start by plugging 7 into the explicit formula, and the formula will look like [tex]a_{7}=2*5^{(7-1)}[/tex].
Next, subtract 1 from 7, and the formula will look like [tex]a_{7}=2*5^{6}[/tex].
Then, raise 5 to the power of 6, which will look like [tex]2*15625[/tex].
Finally, multiply 2 by 15,625, and the answer will be 31,250.
Please help me as fast as you can
Answer:
0.99
Step-by-step explanation:
divide 6.93 by 7.
= 0.99
Step-by-step explanation:We have the equation:
6.93 ÷ 7 = ?
[tex]\left[\begin{array}{ccccccc}&&0.&9&9\\7&&6.&9&3\\&&-&6&3\\\left&&&&6&3\\&&&-&6&3\\&&&&&0\end{array}\right][/tex]
0 . 9 9 ↑ 7 6 9 3 −6 3 ↓ 6 3 −6 3 0sqrt x^ 2 +7 -2*=x-1
Three boys and four girls enter a contest at the local movie theater. A randomly chosen winner will be awarded a free movie ticket, a collectible poster, or free popcorn. What is the probability that a girl will win free popcorn?
A. 3/21
B. 4/21
C. 3/7
D. 4/7
Answer:
D. 4/7
Step-by-step explanation:
There are 7 people in people and there are 4 girls, that would be 4/7.
A pizza parlor advertises pizza options. They offer 7 toppings and allow up to 4 on each pizza. Write an expression that represents this situation.
A: 7!
B: 7!/3!
C: 7!/4!3!
D: 4!3!/7!
Explanation:
This is after using the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.
We use nCr instead of nPr because the order of the toppings doesn't matter.
Solve for x.
2/5 ≤ x-4
2/5 ≤ x-4
0.4 ≤ x-4
let's just add 4 on both sides
0.4 +4 ≤ x-4 +4
4.4 ≤ x
simple as that. just handle inequalities like you would handle equations
If a line falls on the points (6,22) and (4,21), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar
Answer:
1/2
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = (y2-y1)/(x2-x1)
= (22-21)/(6-4)
= 1/2
Answer:
slope , m = 1/2
Step-by-step explanation:
We have two points which are ( 6,22) and (4,21).
To find slope , using slope formula
m = ( y² - y¹ ) / ( x ² - x ¹)
Where,
m, is the slope ( y² - y¹ ) = ( 22- 21 ) ( x ² - x ¹) = ( 6 - 4 )Substitute the values into the formula
m = ( 22 - 21 ) / ( 6 - 4 )
m = 1 / 2
*SHOW STEPS PLEASE* You can verify the zeros of the function y=x^2+6x-7 by using a graph and finding where the graph ________
a) is at a maximum.
b) is at a minimum.
c) crosses the y-axis.
d) crosses the x-axis
Plz help me I need a correct answer asap
[tex]\geq[/tex]Answer:
part A--- -9[tex]\geq[/tex]9
Step-by-step explanation:
Answer:
answer -9>9
Step-by-step explanation:
rbfodnddn bdbndndn
A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the calculator with a $100 bill?
Answer:
64 dollars
Step-by-step explanation: 120×30%= $36-$100= $64
She receives $16 when she pays for the calculator with a $100 bill
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A calculator which is marked at $120 is sold for cash at a 30% discount.
So, It was sold for 70% of its mark value assuming that to x.
∴ (70/100)×120 = x.
x = $84.
So, Susan will receive $(100 - 84) = $16.
learn more about percentages here :
https://brainly.com/question/24159063
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how can the position of a certain value in a given set of data be described and used in solving real-life problems?