please help!! solve ΔPQR Your answer should include the length of r and the measures of angle P and angle Q.
Include all relevant calculations, and use the correct units for all measures. Be sure explanations are written in complete sentences.
Answers
9514 1404 393
Answer:
r ≈ 15.90 mP ≈ 63.27°Q ≈ 26.73°Step-by-step explanation:
The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.
r = √(14.2² +7.15²) = √252.7625
r ≈ 15.8985 ≈ 15.90 . . . meters
__
The angles can be found from the tangent relation.
Tan = Opposite/Adjacent
tan(P) = 14.2/7.15
P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°
Angle Q is the complement of angle P.
Q = 90° -63.27° = 26.73°
Related Questions
what is the first step to solve this equation: 11 - 3i = 44
Answers
Answer:
11 - 3i = 44 (move 11 to the right side and add minus)
-3i = 44-11
-3i = 33 (dive it by -3)
i = -11
At the beginning of January of the current year, Thomas Law Center's ledger reflected a normal balance of $55,000 for accounts receivable. During January, the company collected $17,800 from customers on account and provided additional services to customers on account totaling $14,000. Additionally, during January one customer paid Thomas $6,500 for services to be provided in the future. At the end of January, the balance in the accounts receivable account should be:
Answers
What is the perimeter of the shaded part of this??
Answers
Answer:
18.9cm ( I rounded of and used Π as 3.14)
Step-by-step explanation:
P=distance all round
=1\2ΠD +Πd
see you have to calculate the upper length of the circle , since its half u multiply by a half. And since its not fully shaded the two semi circles are now included as the lower part of the whole shape. so you add them too. (I hope I'm making sense)
help I have already published it 3 times and nobody helps me, could someone help me and explain how to do it? Thank you
Answers
9514 1404 393
Answer:
3) 74°
4) 260°
Step-by-step explanation:
3) Angle CAE is vertical to angle FAB, which is shown as 121°. Vertical angles are congruent. So, we have ...
∠DAE +∠DAC = ∠EAC
∠DAE + 47° = 121° . . . . . . . fill in known values
∠DAE = 121° -47° . . . . . . . . subtract 47°
∠DAE = 74°
__
4) arc MJL is the long arc that completes the circle along with short arc MJ. Short arc MJ has the same measure as its central angle, 100°. Then long arc MJL is 360° -100° = 260°.
arc MJL = 260°
What is the approximate distance between Chaplain and Asherville?
OA. 30.9 miles
OB.
14.7 miles
O c.
29.8 miles
OD.
16.4 miles
Answers
Answer:
B
Step-by-step explanation:
Remark
I'm hesitant to get an exact answer. You could do that with the cos law for distance. To get an approximate answer you could use the Pythagorean Theorem.
I'll try the cos law first.
Formula
c^2 = a^2 + b^2 - 2abcos(C)
Givens
c = 24
a = 18
b = ?
Solution
24^2 = 18^2 + b^2 - 2*18*b*cos(94)
576 = 324 + b^2 - 36*b*(-0.0698)
0 = 324 - 576 + b^2 + 2.511b
0 = b^2 + 2.511 - 252
Using the quadratic formula, the roots are
b1 = 14.66
b2 = - 17.11
The second one has no meaning in the real world.
Answer
the distance is 14.66 miles from Chaplin to Asherville
Note: using the Pythagorean theorem gives 15.87 which I would count as a good approximation.
Answer:
14.7
Step-by-step explanation:
got 100% on plato
Which expressions are equivalent to 6 + 12x?
Answers
Answer:
Expressions A, C, D are equivalent
Step-by-step explanation:
Equivalent expressions:
Two expressions are equivalent if they give the same result. So
Option A:
3(2 + 4x) =3*2 + 3*4x = 6 + 12x
So equivalent
Option B:
3(2 + 6x) + 2x = 3*2 + 3*6x + 2x = 6 + 18x + 2x = 6x + 20. So not equivalent
Option C:
5(1+2x) + 1 + 2x = 5*1 + 5*2x + 1 + 2x = 5 + 10x + 1 + 2x = 6 + 12x.
Equal, so equivalent
Option D:
7*(1+2x) - 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x - 2x - 1 = 6 + 12x
Equal, so equivalent.
Option E:
7*(1+2x) + 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x + 2x - 1 = 6 + 16x
Different, so not equivalent.
literally a goat if someone gives me an answer for this please
Answers
Answer: D, 100
Step-by-step explanation:
Answer: 100 (D)
Step-by-step explanation:
cuz
Will give brainless
This is due tomorrow at 12pm
Answers
Answer:
The most common rock-forming minerals are quartz, feldspar, mica, pyroxene, amphibole, and olivine. The most reliable way to identify a mineral is by using a combination of several tests. A crystal is a solid in which the atoms are arranged in repeating patterns.
What is 1/2 + 2/3?, what is 2/3 multiplied by 3/4?
Answers
Answer:
Hi! The answer to your question is 1. [tex]7/6[/tex] and 2. [tex]1/2[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
56,095 to the nearest whole number
Answers
Answer:
56,000
Step-by-step explanation: the neareat whole number is 6000 so you yust take away the 96 and add two zeros
Find the difference. Write your answer in the simplest form. 7/10 -1/4
Answers
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Answer:
7/40 So sorry if I'm wrong!
Step-by-step explanation:
The weight of 8 science books is 28 pounds. What is the weight of 11 science books?
The weight of 11 science books is
pounds.
Answers
Answer:
11 books = 33 Pounds
Step-by-step explanation:
24 divided by 8 = 3 pounds per book.
3 x 11 = 33 pounds
Hope this helps
Answer:
38.5
Step-by-step explanation:
28÷8=3.5
3.5×11=38.5
Marcie conducts an experiment with a bag of marbles. She draws one marble from the bag, records its color, returns the marble to the bag, and draws again. The results of her experiment are shown below.
Marble Color Number of
Times Drawn
red 5
blue 6
green 4
purple 1
yellow 4
Based on Marcie’s experiment, what proportion of the marbles in the bag would she expect to be purple?
A.
20%
B.
5%
C.
1%
D.
10%
Answers
Answer:
B. 5%
Step-by-step explanation:
add them:
5 + 6 + 4 + 1 + 4 = 20
now use it to divide from the number of times purple is drawn = 1 so,
1/20 = 0.05 = 5%
Which is the best example of an explicit statement from Thoughts and Sentiments that shows Cugoano's beliefs about slavery?
A. “However, notwithstanding all that has been done and written against it, that brutish barbarity, and unparalelled injustice, is still carried on to a very great extent in the colonies, and with an avidity as insidious, cruel and oppressive as ever.”
B. “However, it cannot but be very discouraging to a man of my complexion in such an attempt as this, to meet with the evil aspersions of some men, who say, ‘That an African is not entitled to any competent degree of knowledge, or capable of imbibing any sentiments of probity; and that nature designed him for some inferior link in the chain, fitted only to be a slave.’”
C. “By some of such complexion, as whether black or white it matters not, I was early snatched away from my native country, with about eighteen or twenty more boys and girls, as we were playing in a field.”
D. “But the supporters and favourers of slavery make other things a pretence and an excuse in their own defence; such as, that they find that it was admitted under the Divine institution by Moses, as well as the long continued practice of different nations for ages; and that the Africans are peculiarly marked out by some signal prediction in nature and complexion for that purpose.”
Answers
Answer:
A. “However, notwithstanding all that has been done and written against it, that brutish barbarity, and unparalelled injustice, is still carried on to a very great extent in the colonies, and with an avidity as insidious, cruel and oppressive as ever.”
Explanation:
Ottobah Cugoano's "Thoughts and Sentiments on the Evil of Slavery" provides a personal take on the issue of slavery and how evil of a practice it is for African Americans. At the same time, he also asserted that slaves had the right to rebel against their masters for the treatment they were put under.
One explicit statement that reveals the author's beliefs about the slavery system is "However, notwithstanding all that has been done and written against it, that brutish barbarity, and unparalelled injustice, is still carried on to a very great extent in the colonies, and with an avidity as insidious, cruel and oppressive as ever." Through these lines, Cugoano labels slavery as "brutish barbarity, and an unparallelled injustice ... insidious, cruel and oppressive..."
Thus, the correct answer is option A.
On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)
lower limit
upper limit
(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.
Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.
Answers
Answer:
Step-by-step explanation:
On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)
lower limit
upper limit
(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.
Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.
I will give BRAINLIEST!!!The distance between P and T on the coordinate grid is units. (Input whole numbers only) 25 20- P. T -50 40 -30 -20 -10 0 10 20 30 40 Numerical Answers Expected! Answer for Blank 1:
Answers
Answer:
P and T are 25 units apart.
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels 21 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
Answer:
19/67
Step-by-step explanation:
I think this would be the answer. You add up 17,10,19, and 21, and then use the PROBABILITY of drawing the nickels which would be 19/67, im not sure tho, let me know if it works
please answer
Step by step
Answers
Answer:
B) 20°
Step-by-step explanation:
The top half of the circle is equal to 180°...
13x + 3x + 2x = 180°
18x = 180°
x = 10°
Angle EOD is the opposite angle of 2x
2 (10) = 20°
Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0
Answers
Answer:
x=-8
x=-6
Step-by-step explanation:
Don't really know how to explain this. I never was good at completing the squares.
Hope that this helps!
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Answer:
must be 14
Step-by-step explanation:
Find the surface area of a cube with a side base length of 8mm.
Answers
Answer:
384mm
Step-by-step explanation:
What is the measure of op С : 429 180°
Answers
Answer:
90
Step-by-step explanation:
the angles that are on the opposite side are same
LEARNED THIS IN FOURTH GRADE
I'm still in fourth grade
my math teacher taught us this separately.
I go to School for the Highly Gifted in Grand Prairie, Texas
Need help please and thank you have a nice day
Answers
Answer:
106 is the correct answer
WILL GIVE BRAINLIEST BUT PLEASE ANSWER NOWWWWWWW MUST BE CORRECT
Answers
Answer:
1. x = 2, y = -2 prod: -4 / 2 = -2
2. x = 6, y = -6 prod: -36 / 2 = -13
3. x = -1, y = -1 prod: 1 / 2 = 0.5
4. x = -4, y = -1 prod: 4 / 2 = 2
5. x = 10, y = -1 prod: -10 / 2 = -5
Answer:
we need the answer for median
Step-by-step explanation:
plz help will give brainiest what is x if it equals y*z*f*r*356 if y=18 z=5 f=7 and r=28 quick help
Answers
Answer:
Step-by-step explanation:
For which equations does 38 make the equation true? Choose all that apply. A. 4/8+□=7/8 B. 1 1/8−□=1 C. 1 1/8+□=4 1/8 D. 1 6/8−□=1 3/8
Answers
Which ordered pair represents a solution? *
A (0,2)
B (1,3)
C (3,1)
D (26)
Answers
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answers
hellp me for a brainly
Answers
Answer:
25π or 78.5mm²
Step-by-step explanation:
[tex]A=3.14*5^{2} \\ =3.14*25\\ =78.5[/tex]
Answer:
78.5 mm² or answer D.Step-by-step explanation:
The formula for the area of a circle is
A = π*r²
Now we can rewrite with the radius. *Note* I am using 3.14 for pi to make it easier*
A = π*5²
Solve
5² = 25
25 * 3.14 = 78.5
Now since the measurements were done in millimeters, we will add mm to the end.
Also since it is area, we need to add ²
78.5 mm²
Avery has 6 yards of ribbon. He needs 1/3 yard to make 1 bow.
How many bows can Avery make