Answer:
410.1 m
Step-by-step explanation:
In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.
Tan = Opposite/Adjacent
__
setuptan(C) = BA/BC
tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values
solutionMultiplying both sides of the equation by (608 m) gives ...
(608 m)tan(34°) = BA
BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths
_____
Additional comment
Other relations in the right triangle are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
These relations are collected in the mnemonic SOH CAH TOA.
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
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
Solve for the exact value of x.
Answer:
x = 4
Step-by-step explanation:
Which of these can help you visualize data? Select all that apply.
bank statement
circle graph
spreadsheet
table
bar graph
Answer:
circle graph and bar graph
Step-by-step explanation:
they visualize because they are not simply just words, they make colorful graphs
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.
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
-9y- 10 = x
5x +6y = -11
Answer: x = -1 , y = -1
find the area of the shaded part.
Answer:
Step-by-step explanation:
For part a :
The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :
C = 2×π×r = 2×π×8 = 16π
For part b :
The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :
A = π×r² = π×8² = 64π
For part c :
The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula 2r : so
D = 2r = 2×8 = 16
So the area of the square will equal :
A = 16² = 256
Hope this helped and brainliest and hearts please.
I'm on my road to genius rank
Please help!! Need help asap.
if the observed value is 69.4 and the predicted value is 70.4, what is the residual value? round your answer to the nearest hundredth.
The residual value will be equal to -1.
What is residual value?A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.
Take, for instance, we have the following data entry:
Observed value = 69.4
Predicted value = 70.4
The residual (r) would be:
Residual value = 69.4 - 70.4 = -1
Therefore the residual value will be -1
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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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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
13. What is the surface area of the rectangular solid below using its net?
90 square units
108 square units
72 square units
84 square units
Answer:
108 square units
Step-by-step explanation:3 x 4 = 12
3 x 4 = 12
6 x 3 = 18
6 x 3 = 18
6 x 4 = 24
6 x 4 = 24
24(2) + 18(2) + 12(2) = 108 square units
Therefore, the surface area of the rectangular solid below using its net is 108 square units
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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A candy is in the shape of a sphere. The candy has a radius of 1.5 centimeters. Which of the following is closest to the volume of the candy? (Use 3.14 for π.)
Answer:
The answer would be 14 cm
[tex]V = \frac{4pi(1.5)^3}{3}[/tex]
[tex]4.5pi = 14.3[/tex]
(pi = π)
Your welcome :)
Answer:
14 cm
Step-by-step explanation:
THE SIMPLE ANSWER
What is the length of the hypotenuse of the right triangle?
Answer:
scout is a group of noble youth
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
How do you write y=mx+b for this equation 21-y-mx=34
Answer:
y = -mx - 13.
Step-by-step explanation:
21-y-mx=34
Add y to both sides
21 - mx = 34 + y
Subtract 34 from both sides
-13 - mx = y
Rearrange:
y = -mx - 13.
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
Using synthetic division, find (2x4 − 3x3 − 20x − 21) ÷ (x − 3).
A.
2x3 + 3x2 + 9x + 7
B.
2x4 + 3x3 + 9x2 + 7x
C.
2x4 + 3x2 − 11x − 54
D.
2x3 + 3x2 − 11x − 54
The correct option for the synthetic division is A. 2x³ + 3x² + 9x + 7
How to solve the division?
Write down the first coefficient without changes and multiply the entry in the left part of the table by the last entry in the result.
Then, add the obtained result to the next coefficient of the dividend, and write the sum. All the coefficients are the coefficients of the quotient, and the last coefficient is the remainder.
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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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hope this helps :)
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
A local television station sells time slots for programs in 303030-minute intervals. If the station operates 242424 hours per day, every day of the week, what is the total number of 303030-minute time slots the station can sell for Tuesday and Wednesday
Answer:
96
Step-by-step explanation:
Each day is 24 hours.
2 days = 2 × 24 hours = 48 hours
30-minute slot = 0.5-hour slot
48 hours / 0.5 hours = 96
Answer: 96
Answer:
96
Step-by-step explanation:
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 -
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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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°
Seventy three percent of a town’s population own cars. What is the population of the town, if the number of cars owned is 112,420?
Fractions are written as a ratio of two integers. The total number of cars owned is 154000 cars
Fractions and percentagesFractions are written as a ratio of two integers.
Given the following
Total cars = 112,420 cars
If Seventy three percent of a town’s population own cars, then;
73% of x = 112,420
where x is the total population
0.73x = 112,420
x = 112,420/0.73
x = 154000
Hence the total number of cars owned is 154000 cars
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URGENT
Find the area of the triangle. Round your answer to the nearest tenth.
A triangle A B C with side A C labeled 15 units and side B C as 7 units. The measure of angle A C B is 96 degrees.
The area of the triangle is about (blank) square units.
Answer:
hope you can understand
Help asap plss step by step maybe?
[tex] \frac{ - 9 + a}{15} > 1 \\ \\ - 9 + a > 1 \times 15 \\ - 9 + a > 15 \\ a - 9 + 9 > 15 + 9 \\ a > 24[/tex]
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