Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Using Law of Cosines in triangle OPQ, we get
[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]
[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]
[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]
[tex]\cos P=\dfrac{168800}{868000}[/tex]
On further simplification, we get
[tex]\cos P=0.19447[/tex]
[tex]P=\cos^{-1}(0.19447)[/tex]
[tex]P=78.786236[/tex]
[tex]P\approx 79[/tex]
Therefore, the measure of angle P is 79 degrees.
Answer:
79
Step-by-step explanation:
Please help I do not understand it,Cos A=
in parallelogram
abcd if b=50 find the other angles
Answer:
a is 130 c is 50 and d is 130 opposite angles are equal and corresponding angles sum equals 180
Of the following test scores, who do you think received the best score? The worst score? Why?
Carla : 3 out of 5
Desmond: 20 out of 25
Ignacio: 6.5 out of 10
Gina: 38 out of 50
Answer:
Desmond
Step-by-step explanation:
3 over 5 x 100% = 60%
20 over 25 x 100% = 80%
6.5 over 10 x 100% = 65%
38 over 50 x 100% = 76%
...what's
[tex] \sqrt{169} [/tex]
Answer:
√169=13
Step-by-step explanation:
can also be understood by 13×13=169
Answer:
13
Step-by-step explanation:
√169 = 13
...what's
[tex]({1 + 2 } ) \div( 1 -2)[/tex]
Answer:
-3
Step-by-step explanation:
(1+2)/(1-2)
= 3/-1
= -3
Answer:
-3
Step-by-step explanation:
(1+2) ÷ (1-2) = 3 ÷ -1 = -3
How many degrees of rotational symmetry does the flower have
Answer:
It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.
Step-by-step explanation:
The graph shows a function. Is the function linker or non linear?
Answer:
It is linear since it is a straight line.
A hotel provides discounts to area attractions for people
attending conventions, hoping this will encourage them to
bring their families. The hotel wants to see if the marketing
campaign was successful.
Which of these methods will produce the most representative sample of the
population of convention participants?
A. The hotel surveys all the convention visitors who eat at their hotel,
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
C. Surveyors stand beside one of the booths during a convention and
ask the people who visit the booth if they brought their families.
D. The hotelsends an email to a random selection of people who
have been registered as convention participants during the past
six months
Answer:
I'm not to sure but I think A. or D. I'm so sorry if I'm wrong
The most representative sample of the population of convention participants is:
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful.
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
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determine if JK and LM are parallel, perpendicular,or neither . HELP AND PLS SHOW WORK !!
Answer:
1) not parallel
2)not parallel
Step-by-step explanation:
fist one intersect already
and second one will eventually intersect
Answer:
1 - Perpendicular.
2 - Neither.
Step-by-step explanation:
Use the slop formula to find the slope of the two sides.
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]JK = \frac{4-9}{7-1} = \frac{-5}{6}[/tex]
[tex]LM = \frac{1-13}{-2-8} = \frac{-12}{-10} = \frac{6}{5}[/tex]
Perpendicular - because a line that is perpendicular to another must have a slope that is the negative reciprocal of the first line.
[tex]JK = \frac{6-(-5)}{2-13} = \frac{11}{-11} = 1[/tex]
[tex]LM = \frac{-2-(-5)}{-4-(-1)} = \frac{3}{-3} = -1[/tex]
Not Parallel. Nor perpendicular.
What is 8 fewer than the difference of d and 10
Answer:
subtract 8 from -10
answer: d-18
How do I round 31732.441804 to the nearest dollar?
Answer and Step-by-step explanation:
To round to the nearest dollar, you are essentially rounding to the nearest whole number.
This involves looking at the tenths place.
31732.441804
The bolded 4 is in the tenths place (after the decimal), and determines if the number to the left of it rounds up or stay the same.
Since 4 is not greater than or equal to 5, it makes the number stay 2.
So, we get the answer to be $31732.
#teamtrees #WAP (Water And Plant)
12y + 29y +48y + 2ly + 13y + 7y
Answer:
Add all of the numbers then put a Y at the end.
Step-by-step explanation:
its just combining like terms, if their all Y. its jist adding with a letter at the end
3 x 5 x 2 uygnkuhgkhgiyhbkhbkgy
Answer:
30 is the answer hope this helps!!
aye anyone please help me with my math its really easy 9th grade I just figure out part of this question !!! please help
Answer:
hope this helps!
Step-by-step explanation:
What does linear mean and what does a linear graph look like?
i need help!!!! list the factors of -108 that equal to -3
Answer:
9 and -12
Step-by-step explanation:
Is my answer correct???
Answer:
Yes! Great job!
Hope that helps!
Please help I don’t wanna add a bunch of points Bc nobody is helping me I’m just wasting them.
You want to determine the height of your
school building. The building casts a 6-foot
shadow at the same time you cast a 15-inch
shadow. If you are 5 feet tall, how tall is the
school building? Write an equation and solve,
showing ALL the work.
Answer:Cross multiply and solve for x.
x/6 = 5/1.25
let the height of building be h ft
h/6 = 60/15
h = 6(60/15) = 24
the building is 24 ft high
Step-by-step explanation:
Well first let’s covert the ft to in- 5ft is 60 in and 6ft is 72 in. Then we want to set up 2 fractions based on height and shadow, so we have 60/15=x/72 (we put x because that’s what we’re trying to find). Then we do cross multiplication so now we have 15x=4320. We divide 15, so now we have 4320/15=288. So the building is 288 in tall or 24ft tall! Glad to help! :)
Each earbud is 4/7 of an inch long. If you put 8 earbuds end to end, how long would they be from beginning to end?
Answer:
4 4/7
Step-by-step explanation:
4/7x8/1
4x8/7x1
32/7
4 4/7
Answer:
The answer is 4 4/7.
Step-by-step explanation:
4/7 x 8 = 32/7
32/7 = 4 4/7
What Does 6 More Than X Mean
Answer:
if x is an unknown number you know that it is 6 more than the unknown number
Step-by-step explanation:
1/2{x-1/6}+2/3=5/6+1/3 (1/2-3x)
Answer:
I think it's correct but tell me if I'm wrong
The temperature in Lukeville is -13 ºC. The temperature in Metroburg is 12 ºC. How many degrees warmer is the temperature in Metroburg?
-1 ºC
1 ºC
25 ºC
-25 ºC
Answer:
25
Step-by-step explanation:
1. Make an equation: 12-(-13).
2. Solve the equation. Since there are 2 negative signs (one to the right of 12 and another to the left of 13) they can cancel each other out and they turn into an addition sign. Then, you get 12+13. You can easily solve that and you will get the answer of 25 degrees.
If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP
Answer:
365.76
Step-by-step explanation:
If 2 feet is 60.96, then 1 foot is 30.48.
30.48 times 12 = 365.76
365.76 centimeters is the answer.
Hope this helps!
Plz, mark brainliest!
Answer:
365.76 cm in 12 feet
Step-by-step explanation:
Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)
Now we can cross multiply, which gives us 12*60.96=2*x
Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.
wouldnt x+x be 2x thanks
Answer:
Wym?
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I'll answer it on the comment or are u just playing?
Need help ASAP pls help
Answer: The correct answers are B, D, and F.
Step-by-step explanation: B is correct because 8 x 5 is 40, and 40-5 is less than or equal to 36. C is correct because if you plug in 41/8, the answer is 36. Anything higher than 41/8 is greater than 36. F is correct because 5 is a solution and 5 is less than 41/8. Therefore, the correct answers are B, D, and F.
pls help! marking brainliest!!
Answer:
x = 52
Step-by-step explanation:
∡RQS = 180 - (90 + 34)
∡RQS = 56°
∡PQS + ∡RQS = 180°
∡PQS = x + 72
x + 72 + 56 = 180
x + 128 = 180
x = 52
The sum of five-sixths of f, one-half of p, and 3
Answer:
The expression would look like this: [tex]\frac{5}{6}f + \frac{1}{2}p + 3[/tex]
what is the mean of the data set? 16, 24, 26, 13
Answer:
20
Step-by-step explanation:
17+24+26+13=80
80/4=20
Find the slope of any line parallel to the line through the given points (3,2),(3,1)
Answer:
the qoustion is not correct
If it costs $300 to tile a 420 square foot room, how much will it cost to tile a
room with 1,050 square feet?
Answer:
750$
Step-by-step explanation:
[tex]Amount= 300*\frac{1050}{420} =750[/tex]
It will cost approximately $750.01 to tile a room with an area of 1,050 square feet.
To find out how much it will cost to tile a room with 1,050 square feet, we can set up a proportion using the given information.
Cost₁: The cost to tile the first room with an area of 420 square feet, which is $300.
Area₁: The area of the first room, which is 420 square feet.
Cost₂: The cost to tile the second room with an unknown area, which we want to find.
Area₂: The area of the second room, which is 1,050 square feet.
We can set up the proportion:
Cost₁ / Area₁ = Cost₂ / Area₂
Substituting the known values:
$300 / 420 sq ft = Cost₂ / 1,050 sq ft
Now we can solve for Cost₂:
Cost₂ = ($300 / 420 sq ft) * 1,050 sq ft
Calculating:
Cost₂ = $0.7143 * 1,050 sq ft
Cost₂ ≈ $750.01
Therefore, it will cost approximately $750.01 to tile a room with an area of 1,050 square feet.
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