Given qr = 4.8, m angle r space equals space 80 degree , and m angle p equals 42 degree ... if you want to find pq.... a. should you use law of sines or law of cosines to solve? b. show your setup to solve for pq. c. solve for pq to the nearest tenth, showing all of your work. for the toolbar, press alt+f10 (pc) or alt+fn+f10 (mac).
By applying the law of sines, the length of side PQ is equal to 7.1 units.
What is the law of sines?The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
How to calculate the length of PQ?Mathematically, the law of sines is given by this equation:
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
Substituting the given parameters into the formula, we have;
[tex]\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691[/tex]
PQ = 7.1 units.
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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Point C divides in a particular ratio. Match point C and the ratio into which C divides with the endpoints of .
Point C(-3.6, -3.4) divides
in the ratio 2 : 3.
A(4, -3) and B(-7, 8)
Point C(4, 1.6) divides in
the ratio 3 : 2.
A(-5, 2) and B(7, 14)
Point C(3.5, -2.5) divides
in the ratio 1 : 7.
A(-2, -1) and B(-6, -7)
Point C(8, 9) divides in
the ratio 5 : 3.
A(3, 4) and B(11, 12)
Point C(-2, 5) divides in
the ratio 2 : 6.
Point C(0, 1) divides in
the ratio 4 : 7.
PLATO
The point divides the line in the respective ratios. The correct matches are done.
What is division of line?When a point lies on the line such that is gets divided into the ratio is said to be the division of line.
The coordinates of point can be find out by the following formula.
x = mx₂ +nx₁ / m+n and y = my₂ +ny₁ / m+n
For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.
Substituting the values, we get
-3.6 = 2x₂ +3x₁ / 2+3 and -3.4 = 2y₂ +3y₁ / 2+3
2x₂ +3x₁ = -18 and 2y₂ +3y₁ = -17
The above equations are satisfied by the points A(-2,-1) and B (-6,-7)
For, Point C(4, 1.6) divides in the ratio 3 : 2.
Substituting the values, we get
4 = 3x₂ +2x₁ / 2+3 and 1.6 = 3y₂ +2y₁ / 2+3
3x₂ +2x₁ = 20 and 3y₂ +2y₁ = 8
The above equations are not satisfied by any of the points.
For, Point C(3.5, -2.5) divides in the ratio 1 : 7.
Substituting the values, we get
3.5 = 1x₂ +7x₁ / 1+7 and 1.6 = y₂ +7y₁ /1+7
x₂ +7x₁ = 28 and y₂ +7y₁ = -20
The above equations are not satisfied by any of the points.
For, Point C(8, 9) divides in the ratio 5 : 3.
Substituting the values, we get
8 = 5x₂ +3x₁ /5+3 and 9 = 5y₂ +3y₁ /5+3
5x₂ +3x₁ =64 and 5y₂ +3y₁ = 72
The above equations are satisfied by the points A (3,4) and B(11, 12).
For, Point C(-2, 5) divides in the ratio 2 : 6.
Substituting the values, we get
-2 = 2x₂ +6x₁ /2+6 and 5 = 2y₂ +6y₁ /2+6
2x₂ +6x₁ =-16 and 2y₂ +6y₁ = 40
The above equations are satisfied by the points A (-5,2) and B(7,14).
For, Point C(0,1) divides in the ratio 4 : 7.
Substituting the values, we get
0 = 4x₂ +7x₁ /4+7 and 1= 4y₂ +7y₁ /4+7
4x₂ +7x₁ = 0 and 4y₂ +7y₁ = 11
The above equations are satisfied by the points A (4,-3) and B(-7,8).
Thus, all the equations are joined with their satisfying points.
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3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed, how much will Jane Spend? Show your work.
Answer:
Step-by-step explanation:
area off reg 1
10 x 25 = 250
area of reg 2
45 x 13 = 585
total surface area
585 + 250 = 835ft^2
835ft^2 x $0.55 = $459.25
WILL GIVE BRAINLISEST AND 60 POINTS !!!!
Question 5(Multiple Choice Worth 4 points)
(04.04)
Which graph represents a linear function?
Answer:
3rd one
Step-by-step explanation:
it is the only one with a function and a straight line
What is the relationship between the number of sides of the base of a prism and the number of lateral faces?
A . The number of sides of the base of a prism is less than the number of lateral faces. B. The number of sides of the base of a prism and the number of lateral faces is equal. C. The number of sides of the base of a prism is greater than the number of lateral faces.
C . There is no consistent relationship between the number of sides of the base of a prism and the number of lateral faces.
Answer: The number of sides of the base of a prism and the number of lateral faces is equal.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
edge exam
please solve the question in the picture
Answer with a step-by-step explanation:
Let us write answers to the questions using the given Venn diagram
1) 4 students
2) 3 students
3) 3 students
4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)
- More explanation is attached to the picture -
Select the correct answer.
The figure shows a vertical cross section of a sphere inscribed in a right cone.
A vertical cross section of a sphere inside a cone has a radius labeled lowercase r. The height of the cone is 12 centimeters. The half-length of the face of the cone is 5 centimeters.
Find the volume of the sphere in terms of π.
The volume of the sphere will be 49π cubic cm. Then the correct option is C.
What is the volume of the sphere?Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
The figure shows a vertical cross-section of a sphere inscribed in a right cone.
A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.
Then the volume of the sphere will be
In ΔADF, we have
tan a = 5 / 12
a = 22.61°
Then in triangle ΔABC, we have
sin 22.61° = r / (12 - r)
0.38 = r / (12 - r)
4.62 - 0.38r = r
1.38r = 4.62
r = 3.34 cm
Then the volume of the sphere will be
V = 4/3 π(3.34)³
V = 49π cubic cm
Then the correct option is C.
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Answer:
49cm
Step-by-step explanation:
49cm i got it right on edmentum
Omar paid $8.64 for 5.4 pounds of grapes. what was the cost of 1 pound of grapes?
find the value of x and y from the following
Step-by-step explanation:
due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.
in other words it is the supplementary angle to 150° at B.
that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).
so,
x = 180 - 150 = 30°
now, for the same principle,
x + y = 70
y = 70 - x = 70 - 30 = 40°
A TV has a listed price of $841.99 before tax. If the sales tax rate is 9.5%, find the total cost of the TV with sales tax included
Answer:
[tex]9.5 \div 100 \times 841.99 = 79.99 \\ \\ 841.99 + 79.99 \\ 921.98[/tex]
Answer:
$921.98905
Step-by-step explanation:
To find the sales tax amount we need to find 9.5% of 841.99
for this we can use 2 methods:
Method 1-
P%* X= Y
9.5%*841.99= Y
Convert 9.5% to a decimal by removing the percent sign and dividing by 100: 0.095
Substitute 0.095 for 9.5% in the equation: 9.5% * 841.99 = Y becomes 0.095 * 841.99 = Y
Do the math: 0.095 * 841.99 = 79.98905
OR
method 2-
9*841.99
=7998.905
÷100
=79.98905
Now that we know how much the the amount is all we have to do is add the amount with the original price of the tv
$841.99 + $79.97905= $921.98905
Solve for x.
←2x+6
X+9
x = [?]
Answer:
3
Step-by-step explanation:
A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3
Find the value of x.
x = [?]
Answer: 8
Step-by-step explanation:
The triangles are congruent by SAS, so using CPCTC, the answer is 8
Nicole is deciding between two different movie streaming sites to subscribe to. Plan A costs $24 per month plus $1.50 per movie watched. Plan B costs $12 per month plus $3 per movie watched. Let AA represent the monthly cost of Plan A if Nicole watches xx per month, and let BB represent the monthly cost of Plan B if Nicole watches xx movies per month. Graph each function and determine the interval of movies watched, x,x, for which Plan A is cheaper than Plan B.
Answer:
Plan B
Step-by-step explanation:
If you multiply 21 by $2.50 you get $52.5 then add $5 you get 57.5 and that's you outcome for Plan A
but if you multiply 21 by $1.50 you get $31.5 then add $24 you get $55.5 so the best and cheapest plan would be Plan B
43,57,98,67,87 mean med mode renge
Answer:
mean: 70.4median: 67mode: no moderange: 55Step-by-step explanation:
The mean is the average value: the sum divided by the number of numbers. The median is the middle number when they are written in increasing order. The mode is the number that appears most often. The range is the difference between the highest and lowest values.
__
Sorted into increasing order, the numbers are ...
43, 57, 67, 87, 98
meanThe total of these values is
43 +57 +67 +87 +98 = 352
The mean is this sum divided by the number of contributors:
mean = 352/5 = 70.4
__
medianThe median of the 5 numbers is the middle (3rd) one:
median = 67
__
modeThe mode is the most-repeated number. All of the numbers show up exactly once, so there is no mode.
mode: none
__
rangeThe range is the difference between the highest and lowest values:
range = 98 -43
range = 55
Write 1/3 as a recurring decimal.
Convert 0.45 to a fraction.
Answer:
.33333333... 45/100
Step-by-step explanation:
1/3 as a reoccurring decimal would be 0.3333333......
.45 as a fraction is simply 45/100
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PLEASE SOLVE I WILL MARK BRAINLIEST HURRY PLEASE
Applying the Pythagorean theorem, the missing lengths in the right triangles are:
1. √19 ≈ 4.4
2. √96 ≈ 9.8
3. √60 ≈ 7.7
4. √231 ≈ 15.2
5. √21 ≈ 4.6
6. √24 ≈ 4.9
What is the Pythagorean Theorem?The Pythagorean theorem is a formula that can be used to find the leg of a right triangle, and is given as: c² = a² + b², where a and b are the smaller legs and c is the longest leg/hypotenuse.
1. missing leg = √(10² - 9²) = √19 ≈ 4.4
2. missing leg = √(11² - 5²) = √96 ≈ 9.8
3. missing leg = √(8² - 2²) = √60 ≈ 7.7
4. missing leg = √(16² - 5²) = √231 ≈ 15.2
5. missing leg = √(5² - 2²) = √21 ≈ 4.6
6. missing leg = √(7² - 5²) = √24 ≈ 4.9
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HELP ME OUT peps correct answers only
Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.
What is the Subtraction Property of Equality?In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.
To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.
If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.
The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.
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4(a2 + 2b) - 2b when a = 2 and b = –2.
Answer:
4
Keys:
[tex]a \cdot (-b) = -a \cdot b[/tex][tex]-\left(-a\right)=+a[/tex]Step-by-step explanation:
[tex]4\left(\left(2\right)\cdot \:2+2\left(-2\right)\right)-2\left(-2\right)\\\left(2\right)\cdot \:2+2\left(-2\right)\\=4+2\left(-2\right)\\=4-4\\=0[/tex]
[tex]=4\cdot \:0-2\left(-2\right)\\4\cdot \:0\\=0\\=0-2\left(-2\right)[/tex]
[tex]2\left(-2\right)\\=-4\\=0-\left(-4\right)[/tex]
[tex]0-\left(-4\right)\\=0+4\\=4[/tex]
Name all of the obtuse angles that share a side with angle VON
A. Angles NOS, NOP, NOQ, VOS, VOQ, VOP
B. Angles NOS, NOT, NOV, VOR, VOU, VOP
C. Angles NOS, NOT, NOR, VOR, VOQ, VOP
D. Angles NOS, NOT, NOU, VOR, VOQ, VOP
The angles NOS, NOT, NOU, VOR, VOQ, VOP are obtuse angles
What is an Obtuse Angle ?An angle whose measure is more than 90 degree is called an obtuse angle.
In the given figure , the angles which have value more than 90 degree needs to be found.
The angles NOS, NOT, NOU, VOR, VOQ, VOP are obtuse angles as their measure is more than 90 degree.
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Please Help!!!
Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25^{\circ}
∘
. If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer:
63.5 m from the ground
answer is 66.9 ft
top is the step by step explanation, hope it helps <3
helpppppp what is the x！！！！！
Answer:
x=7
Step-by-step explanation:
95+65=160
There is 360 degrees total in a quadrilateral
360-160=200
(15x-5)+100=200
15x+95=200
Subtract 95 from both sides
15x=105
x=7
How to solve a equation using elemination method
Answer:
Below.
Step-by-step explanation:
I assume you are referring to a system of equations.
Example:
2x - y = 4
x + y = 5
If we add these 2 equations then the y is eliminated because -y + y = 0:-
3x + 0 = 9
x = 3
Now we plug x = 3 into the first equation to find y:
2(3) - y = 4
-y = 4 - 6 = -2
y = 2.
If we cannot eliminate one of the variables we multiply one of the equations so that one of the variables so that it can be eliminated.
For example:
2x - 3y = 5 A
x + y = 6 B
We multiply the second equation B by 3 so that when we add -3y + 3y gets eliminated:
3x + 3y = 18
- so adding this to equation A
5x + 0 = 23.
In some cases we may have to multiply both equations by different values to get terms that can be eliminated.
What is the length of the hypotenuse of the right triangle?
Answer:
scout is a group of noble youth
Which of the following are exterior angles? Check all that apply.
6
5/4
1
2
Answer:
E and FStep-by-step explanation:
Definition of exterior angle:The angle between a side of a polygon and an extended adjacent side.According to definition, angles 4 and 2 are exterior angles.
The matching answer choices are E and F
Maddie's backyard is 25 meters by 25 meters. She wants to put a square cement patio in her backyard. She does not want the patio to be as
large as the yard. Let A be the area of the patio, in square meters.
Which inequality represents the possible length of the patio?
A. √A> 25
B. √A < 25
C. √A> 625
D. √A < 625
The inequality that represents the possible length of the patio is √A < 625.
How to represent an inequality?Maddie's backyard is 25 meters by 25 meters.
Therefore,
area of the backyard = 25 × 25 = 625 m²
Hence,
She wants to put a square cement patio in her backyard.
A = area of the patio, in square meters.
Hence,
area of the backyard = 625 m²
Therefore, the inequality that represents the possible length of the patio is √A < 625.
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If f(x) = 6x³ + 5x, g(x) = 3x² +5, and h(x) = 9x² - 8, What is the degree of f(g(h(x)))?
a)2
b)3
c)7
d) 12
Degree of f(x)=3
Degree of g(x)=2
Degree of h(x)=2
Degree of f(g(h(x)))
3(2)(2)12Option D
Answer:
d) 12
Step-by-step explanation:
Given functions:
[tex]f(x)=6x^3+5x[/tex]
[tex]g(x)=3x^2+5[/tex]
[tex]h(x)=9x^2-8[/tex]
As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:
[tex]f(x)=x^3+x[/tex][tex]g(x)=x^2[/tex][tex]h(x)=x^2[/tex]Therefore:
[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]
[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]
Therefore, the degree of f[g[h(x)]] is 12
Select all the correct.
Which values are included in the solution set of this inequality?
2x2 1 > 6x
x = 3
x = -4
x = 1
x = 5
x = -2
Which of the following is equal to 9•4
Solve for the exact value of x.
Answer:
x = 4
Step-by-step explanation:
Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which statements about the situation are true? Check all that apply.
The number of possible outcomes is 8.
The probability is drawing the tile with E written on it is 1/4.
P(vowel)=1/4
P(vowel) + P(consonant) % 1
Choosing one letter at random is a simple event.
Using the probability concept, it is found that the correct statements are given as follows:
The number of possible outcomes is 8.P(vowel)=1/4P(vowel) + P(consonant) = 1.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are eight letters, two of which are vowels and six of which are consonants.
Hence:
P(vowel) = 2/8 = 1/4.P(consonant) = 6/8 = 3/4.P(vowel) + P(consonant) = 1/4 + 3/4 = 1.E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.
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Answer:
A, C, E
Step-by-step explanation:
The correct answers are A C E
or if you want to be more specific
A: The number of possible outcomes is 8.
C: P(vowel)=1/4
E: Choosing one letter at random is a simple event.
I got it right on Edge22