Answer:
The measure of ∠O is 97.2° to the nearest tenth
Step-by-step explanation:
To solve this question, we will use the cosine rule
In Δ OPQ
Side o is opposite to ∠O
Side p is opposite to ∠P
Side q is opposite to ∠Q
By using the cosine rule
∵ o² = p² + q² - 2(p)(q)cos∠O
∵ o = 6.6 inches
∵ p = 2.1 inches
∵ q = 6 inches
→ Substitute them in the rule above
∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O
∴ 43.56 = 4.41 + 36 - 25.2cos∠O
→ Add the like terms in the right side
∴ 43.56 = 40.41 - 25.2cos∠O
→ Subtract 40.41 from both sides
∵ 3.15 = -25.2cos∠O
→ Divide both sides by -25.2 to find cos∠O
∴ -0.125 = cos∠O
→ Use your calculator to find ∠O
∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]
∴ m∠O = 97.18075578
→ Round it to the nearest tenth ⇒ 2d.p.
∴ m∠O = 97.2°
zoe has earned 650$ during the four weeks she worked at the rec center. the first 2 weeks she earned 220$ and 98$. the last 2 weeks she earned the same amount. how much money did zoe earn in the last 2 weeks
Answer:
The wording of this question was really confusing, but I believe the answer is 166 dollars.
Step-by-step explanation:
$220+ $98= $318
650-318=332
332/2=166
-4(5x - 3) + 15
Solved please!
Answer:
Step-by-step explanation:
-20x + 12 + 15
-20x + 27
Find the length of line segment UV.
Answer:
The length of the line segment UV is 76 units
Step-by-step explanation:
In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length
In Δ ONT
∵ U is the mid-point of ON
∵ V is the mid-point of TN
→ That means UV is joining the mid-points of two sides
∴ UV // OT
∴ UV = [tex]\frac{1}{2}[/tex] OT
∵ UV = 7x - 8
∵ OT = 12x + 8
∴ 7x - 8 = [tex]\frac{1}{2}[/tex] (12x + 8)
→ Multiply the bracket by [tex]\frac{1}{2}[/tex]
∵ [tex]\frac{1}{2}[/tex] (12x + 8) = [tex]\frac{1}{2}[/tex] (12x) + [tex]\frac{1}{2}[/tex] (8) = 6x + 4
∴ 7x - 8 = 6x + 4
→ Add 8 to both sides
∴ 7x - 8 + 8 = 6x + 4 + 8
∴ 7x = 6x + 12
→ Subtract 6x from both sides
∴ 7x - 6x = 6x - 6x + 12
∴ x = 12
→ Substitute the value of x in the expression of UV to find it
∵ UV = 7(12) - 8 = 84 - 8
∴ UV = 76
∴ The length of the line segment UV is 76 units
Find the product of 3 1/5 and 5/8. Express your answer in simplest form
Answer:
8 4/5
Step-by-step explanation:
Answer:
this is the answer i hope it helps you 3 33/40
don’t understand sb help
Answer:
the 3rd one
Step-by-step explanation:
Answer:
It is the second one
Step-by-step explanation:
At the time this question was written, one US Dollar equaled 0.88 Euros. What would 50 Euros equal in US Dollars? Round your answer to the nearest cent.
Answer:
$56.82 US dollars
Step-by-step explanation:
Set up a proportion where x is how many US dollars there are in 50 Euros:
[tex]\frac{1}{0.88}[/tex] = [tex]\frac{x}{50}[/tex]
Cross multiply and solve for x:
0.88x = 50
x = 56.82
So, 50 Euros is approximately equal to $56.82 US dollars
8. Robert has $50 000 in the bank. Belinda has $5 000. Compare how much money they
have using (a) subtraction and (b) division. Write your answers as sentences.
What is the slope of the line that passes through 9,5 and 4,5
Answer:
0
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (5 - 5) / (4 - 9)
= 0 / -5
= 0
Answer:
(5,0
Step-by-step explanation:
What is 71283922222 E Times 78232 E Divide by 8326.291213?
Answer:
4333.23777
Step-by-step explanation:
.just type it in the calculator
A classmate tells you that there are two Fahrenheit temperature that is the same as the Celsius temperature. They tell you it is 50 degrees and -40 degrees. Is your classmate correct or incorrect explain your reasoning.
Answer:
Step-by-step explanation:
the conversion for farenheit to celsius is to subtract 32 and multiply by 5/9.
-40-32 is -72. multiply that by 5/9 and that is -40
50-32 is 18. multiply that by 5/9 and you get 10. so no she's wrong
Triangles have a total of 180°. Use the triangle below to determine the value of X.
Answer:
3x=105
x=35
Step-by-step explanation:
40+3x+x = 180 (Angle sum property)
40 +4x=180
4x = 180-40
140
x = 140/4
=35
3x = 35 x 3
105
x = 35
If it was helpful please mark me as brainliest
Borrowers choosing an adjustable-rate mortgage
pay a higher interest rate during the first few years.
are often forced to sell their homes after the first year.
often pay a lower interest rate during the first few years.
agree to accept no risk when borrowing money.
Answer:
Often pay a lower interest rate during the first few years
Step-by-step explanation:
Option c on edge. 2020
Answer:
C
Step-by-step explanation:
Miss Kito is building a rectangular pen for her lea.She will use the side of her house for one wall of the pen;therefore she will not need any fencing on that side.On the other three sides, she will use special fencing that costs $12 per foot . She wants the entire enclosed area to be 2400 square feet. Lastly,she needs four corner that costs $5 each ?
Let x represent the length of each side of the pen perpendicular to the house and let y represent the length of the side of the pen parallel to the house.Write a function c(x) for the cost of the materials for the llama pen in terms of x. Simplify
Please explain and thank you
Answer:
The answer is "[tex]=24x+ \frac{28800}{x}+20[/tex]"
Step-by-step explanation:
The perimeter of the fence [tex]=2x+y[/tex]
cost of fence[tex]=12(2x+y)[/tex]
cost of corner ports[tex]= 4 \times 5=20[/tex]
cost of pen[tex]= 24x+12y+80.............(1)[/tex]
area of pen[tex]=2400[/tex]
[tex]xy=2400\\\\y=\frac{2400}{x}[/tex]
cost c(x)[tex]=24x+ \frac{12 \times 2400}{x}+20[/tex]
[tex]=24x+ \frac{28800}{x}+20[/tex]
PLEASE HELP!!!!
IT IS NOT A
A. Yes; 20 hours/painter
B. Yes; 8 hours/painter
C. No; Does not pass through the origin
D. None of the above
Answer:
C
Step-by-step explanation:
Answer:
Pretty sure it's
D. None of the above
To the nearest hundredth of a yard, determine the circumference of the given circle. Approximate as 3.14. r=6
Answer:
37.68
Step-by-step explanation:
c = 2 x 3.14 x 6
A circle has a radius of 13cm . Find the radian measure of the central angle 0 that intercepts an arc of length8cm . Do not round any intermediate computations, and round your answer to the nearest tenth.
Answer:
The measure of the center angle is 0.6 radians
Step-by-step explanation:
Mathematically, the length of an arc can be calculated using;
L = theta/360 * 2 * pi * r
where theta is the central angle
In this case, theta = ? , pi = 22/7 and r is 13
cm, length of arc is 8 cm
So we have ;
8 = theta/360 * 2 * pi * 13
360 * 7 * 8 = theta * 2 * 22 * 13
20,160 = 572 theta
theta = 20,160/572
theta = 35.24
let us convert this to radian measure
Mathematically, 1 degree = 0.0175 radian
Thus 35.24 degrees will be 35.24 * 0.0175 = 0.62 radians
To the nearest tenth, this is 0.6 radians
can anyone just explain how to do a distant rate time problems because I'm confused about them
Answer:
The formula for distance problems is: distance = rate × time or d = r × t. Things to watch out for: Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
Step-by-step explanation:
Here is an example.
Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?
After t hours the distances D1 and D2, in miles per hour, travelled by the two cars are given by
D1 = 40 t and D2 = 50 t
After t hours the distance D separating the two cars is given by
D = D1 + D2 = 40 t + 50 t = 90 t
Distance D will be equal to 450 miles when
D = 90 t = 450 miles
To find the time t for D to be 450 miles, solve the above equation for t to obtain
t = 5 hours.
5 am + 5 hours = 10 am
What is the slope of the line that passes through the points (-8, 6) and (-5, -3)
Answer: slope is -3
Step-by-step explanation:
Simple, plain, easy
Which best describes the error in solving the system of linear equations?
Only the x-value is given.
The wrong value for x is given.
The blue line is graphed incorrectly.
The red line is graphed incorrectly.
Answer:
a. Only the x-value is given.
Step-by-step explanation:
Taking a look at the graph of both equations, both equations are graphed correctly, because the slope (m) and y-intercept (b) values corresponds of each equation corresponds with what we have on the graph representing each equation.
The solution of two linear equations ought to be in a coordinate pair, (x, y). This means the x-value and it's correaponding y-value of the solution needs to be stated, not just the x-value.
Thus, the correct solution. Of the two linear equations are x = 4, when y = 3.
Solution in coordinate pair form is (4, 3).
Therefore, the statement that describes the error is:
a. Only the x-value is given.
There are 279 middle school students signed up for a field trip. An adult needs to be assigned to guide every 8 students. Mr. Corcoran determines that 34 adults are needed for the field trip. Explain whether or not Mr. Corcoran is correct.
Answer:
No, because 3 students would be left over and we have to make an extra so 35. Mr.Smith is wrong.
Step-by-step explanation:
Please help 30 points for a quick response!!
What is the value of h(2)?
-2
-1 0 3
Answer:
103 is ur answer hope this helps
Answer:
The answer is 0 or C on Edge.
Step-by-step explanation:
Got it right. 2021.
An annual pass to a park costs $120. Use a percent model to find 200% of the full price of the annual pass.
200% of the full price is $____
Given:
An annual pass to a park costs $120.
To find:
The 200% of the full price using percent model.
Solution:
In the percent model,
100% = 1 box
It means 1 box represents park costs $120.
200% = 2 box
[tex]120+120=240[/tex]
It means 2 box represents park costs $240.
Therefore, 200% of the full price is $240.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
113
Step-by-step explanation:
Answer:
diameter =6 cm
radius =3cm
shaded area =area of square- area of circle
= a^2 - πr^2
=(6)^2-3.142(3)^2
=36-3.142×9
=36-28.278
=7.622
-4/9 divided by 2/3 what would the answer be?
Answer:
-4/9*3/2
-4*3/9*2
-12/18
-2/3
Answer:
-2/3
Step-by-step explanation:
-4/9 divided by 2/3
you turn divided into multiplied and flip the second number
-4/9*3/2
you can cross multiply.
once you have simplified you should have
-2/3*1/1
simplified further to
-2/3*1
so,
-2/3 is the answer :)
Why do plants provide animals with fruits such as strawberries, apples, and mangoes?
Answer:
For seed transfer. If an animal gathers fruit and eats it or just carries it away for later consumption, it will move the seed further away from the parent plant. That way, the new plants do not take from the parent plant's resources.
A train traveled at an average speed of 45 miles per hour for 40 minutes, and at an average speed of 60 miles per hour for 1 hour. What was the average speed of the train, in miles per hour, for the trip?
a.) 50, b.) 52.5, c.) 54, d.) 57,5, e.) 60
Answer:
c
Step-by-step explanation:
Solve four and six eighths minus two and three fifths.
(GIVING EXTRA POINTS AND BRAINLIEST ON THIS ONE!! *v*)
A) one and six thirteenths
B) one and three fortieths
C) two and six fortieths
D) two and three thirteens
(Here is an image if needed) :
I'm pretty sure the answer is number 2.
Answer:
b
Step-by-step explanation:
When the following quadratic equation is written in standard form, what is the value of "c"?
Answer:
it's 2
Step-by-step explanation:
a= -3/4
b=0
c=2
I believe it is AAS but am not sure whether ASA could be true as well
Answer: Choice C) AAS
Nice work on getting the correct answer.
=======================================================
Explanation:
We're given that angle A = angle C. This is shown in green in the diagram below.
AB || DC so we can show that angle ABD = angle CDB by the alternate interior angle theorem. This is shown in red.
Finally, we know that BD = BD which is marked in blue.
Note how the blue segment is not between the red and green angle for any of the two triangles. So we use AAS instead of ASA. The order is important.