Answer:
1.485
Step-by-step explanation:
just put it in a calculator if you dont have one google does.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 58.5°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan x = \(\frac{opposite}{adjacent}\) = \(\frac{DE}{EF}\) = \(\frac{8}{4.9}\) , then
x = \(tan^{-1}\) ( \(\frac{8}{4.9}\) ) ≈ 58.5° ( to the nearest tenth )
Answer:
\(x = 59.16 \degree\)
Step-by-step explanation:
We are given a right angled triangle, with two sides as 4.9 and 8 . And we are interested in finding out the measure of the angle "x" . With respect to angle x , the side measuring 8 is perpendicular and that measuring 4.9 is base.
In a right angled triangle, tangent is defined as the ratio of perpendicular and base .
So , according to the question,
p = 8 b = 4.9Now we have;
\(\implies \tan\theta =\dfrac{p}{b} \\\)
Here the angle is " x " , so that ,
\(\implies \tan x =\dfrac{8}{4.9}\\\)
Simplify,
\(\implies \tan x = 1.63 \\\)
Take arctan on both the sides,
\(\implies \arctan (\tan x ) = \arctan(1.63) \\\)
Simplify,
\(\implies x = \arctan(1.63)\\\)
\(\implies \underline{\underline{ x = 59.16\degree \approx 59.2\degree}}\\\)
Hence the value of x is 59.2° .
whats 215x18 000000000000000
Answer:
3,870
Step-by-step explanation:
i hope this helps u (‾◡‾)
A walk alongside a railway track is represented on a map by an 86 mm straight line.
The walk is 17.2 km.
What is the scale of the map?
First we turn the 17.2 km into mm. To do that we turn it into 17,200 m then into 1,720,000 cm then into 17,200,000 mm. Then we just divide 17.2 million by 86 so 17,200,000÷86=200,000. so we know that the scale of the map is 1:200,000. Also pls mark as brainliest answer thx.
the Sealy family attended a baseball game. They offered food from the attendant working in their area. The food bill came to $62.50. The sealys decided to give the attendant an 18% tip. How much did the family pay for the meal.
In the figure below, points X, Z, Q, R, and S lie in plane P. Points T and Y do not lie in plane P.
For each part below, fill in the blanks to write a true statement.
The blank spaces in the statements area. S, R, and Q are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.
What are Colinear Points?Points that lie on the same straight line are collinear points.
If two lines are lie on the same plane, they are referred to as coplanar lines.
(a.) S, R, and Q are on a straight line. Therefore S, R, and Q are distinct points that are collinear.
b. TX and QS are distinct lines that intersect.
c. Point Y and line QS are on the same plane. Therefore:
Point Y and line QS are coplanar.
d. Another name for plane P is: plane QSY.
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g python Suppose the instructor of the course is convinced that the mean engagement of students who become knowledgeable in the material (i.e., the eng1 population) is 0.75. Formulate null and alternative hypotheses for a statistical test that seeks to challenge this belief. What are the null and alternative hypotheses, and what type of test can be used
Answer:
Step-by-step explanation:
The null and alternative hypothesis that would seek to challenge this belief would be
Null hypothesis: u = 0.75
Alternative hypothesis: u =/ 0.75
The type of test to be used would be a one sample z test where one sample is drawn from the population and the mean engagement of students who become knowledgeable in the material is measured and tested in an experiment against the null hypothesis.
Rewrite the function by completing the square.
f(x) = x2 + x - 30
Answer:
1.1 Factoring x2+x-30
The first term is, x2 its coefficient is 1 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -30
Step-1 : Multiply the coefficient of the first term by the constant 1 • -30 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 1 .
-30 + 1 = -29 -15 + 2 = -13 -10 + 3 = -7 -6 + 5 = -1 -5 + 6 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 6
x2 - 5x + 6x - 30
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-5)
Add up the last 2 terms, pulling out common factors :
6 • (x-5)
Step-5 : Add up the four terms of step 4 :
(x+6) • (x-5)
Which is the desired factorization
An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 34 m per year at a time when the region is 450 m wide. How fast is the area changing at that point in time?
Answer:
The area is changing at the point of \(\mathbf{61200 m^2/year}\)
Step-by-step explanation:
From the given information:
Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w
where;
L = length and w = width of the rectangle
Suppose the Length L is twice the width w
Then L = 2w --- (1)
From The area of a rectangle
A = L × w
A = 2w × w
A = 2w²
Taking the above differentiating with respect to time
\(\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)\)
At the time t
\(\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m\)
Replacing the values back into equation 2, we get:
\(\dfrac{dA}{dt }= 4 \times 450 \times 34\)
\(\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}\)
6(25-8w)+20w for w=2
150−28w
i think i dont know
#18 please I’m not good at math at all
Answer:
The answer is in the picture.
Step-by-step explanation:
By hand, you can factor it. I did it on a website called Cymath.
Answer:
3x(y - 3)(y + 1)
Step-by-step explanation:
Factor 3x out of 3xy^2
Factor 3x out of -6xy
Factor 3x out of -9x
Factor 3x out of 3x(y^2)+3x(-2y)
Factor 3x out of 3x(y^2-2y) + 3x(-3)
Tom Harding is a proofreader. He is paid $0.23 for every page he proofs. What is Tom's total pay for a week in which he proofreads 1,992 pages? 458.16 1,237.27 8,660.86 3,207.12
I need the answer plzz I need help
God bless everyone vankka is correct!
Answer:
1) False
2) False
3) True
4) True
Step-by-step explanation: Looked at graph.
Hope this helps!
22 is 82% of what number?
Answer:
22×82=1804. 1804÷18,04
Step-by-step explanation:
✨✨
10-² =
Exponential form
Answer:
Step-by-step explanation:
the answer is 0.01
The base of the exponential form is 10 and the power is -2 therefore the answer is 0.01 if the power was 2 the answer would have been 100
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A camera cost 115 Canadian dollars if each Canadian dollar is worth 0.950 to US dollars how much will the camera cost in the US dollars
Answer:
109.25 US dollars
Step-by-step explanation:
115 * 0950
on the map, 2 cm equals 1 km. what is the actual length of a street that is 10 cm long on the map?
Answer: 5km
Step-by-step explanation: 2cm=1 km
10cm divided by 2 is 5km
Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
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can you please help me
3. To find the perimeter of a rectangle, use the equation , where P is the perimeter, l is the length and w is the width of the rectangle.
(a) A rectangular garden has a perimeter of 40 yd and a width of 5 yd. Use the equation and the replacement set to find the length of the garden. Show your work.
(b) A rectangular table top has a perimeter of 18.4 ft and a length of 6.75 ft. Use the equation and the replacement set to find the width of the table top. Show your work.
Answer:
a) 15yd
b)2.45ft
Step-by-step explanation:
P = perimeter, l=length and w = width of the rectangle
P = 2l+2w
a) 40 = 2l+2(5)
40 = 2l+10
30=2l
15=l
b) 18.4 = 2(6.75) + 2w
18.4 = 13.5+2w
4.9=2w
2.45=w
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y = –Three-fourthsx + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –Three-fourths(x – 4) y + 2 = Three-fourths(x + 4)
Answer:
The equation of the parallel line to the given equation is
3 x-4 y = -4 and
The equation of the parallel line to the given equation is
\(y = 1 + \frac{3 x}{4}\)
Step-by-step explanation:
Explanation:-
Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )
The equation of the parallel line to the given equation is
3 x - 4 y = k
it is passes through the point ( -4 , -2)
3 (-4) - 4 ( -2) = k
-12 +8 = k
k = -4
The equation of the parallel line to the given equation is
3 x- 4 y = -4
Dividing '4' on both sides , we get
\(\frac{3 x-4 y}{-4} = 1\)
\(\frac{-3 x}{4} +y =1\)
\(y = 1 + \frac{3 x}{4}\)
Conclusion:-
∴ The equation of the parallel line to the given equation is
3 x- 4 y = -4
and
The equation of the parallel line to the given equation is
\(y = 1 + \frac{3 x}{4}\)
Answer:
the answer is b and d edge 2021
Step-by-step explanation:
I am finished taking the test got a 100%
Median of 3,6,9,7,4,6,7,0,7
The median, mean, range and mode will be 6, 5.4, 9 and 7.
What is median?
The median is the middle number in the data set when the data set is written from least to greatest.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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Find the coordinates of n if n is exactly halfway between m (-10,-13) and d (-7,-7)
A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
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Find any solutions of x/x-1 + 2/x+2= -6/x^2+x-2
Answer:
x=4.697636
Step-by-step explanation:
Step 1: Multiply both sides by x.
Step 2: Multiply both sides by x^2.
Richie wants to enlarge the square deck in his backyard. The area of the enlarged deck, A(x), can be modeled by the following function, where x is a side length in feet of the original square deck. What is the minimum potential area of the enlarged deck?
A= x^2-14x+106
A.
57 feet
B.
14 feet
C.
49 feet
D.
106 feet
Answer:
14 feet this is the answer
Please answer ASAP will be greatly appreciated!!
16. In a group of 6 boys and 4 girls, four
children are to be selected. In how many
different ways can they be selected such
that at least one boy should be there?
10
D
201
D 212
Answer:
209 different ways.
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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in this figure below triangle GHI is similar to Triangle MHL what is the distance between M and H 12 16 24 or 27
I'll mark anyone who answers this question brainliest please help I'm about to fail
The distance between M and H is given as follows:
x = 21.3.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.The proportional relationship between the side lengths is given as follows:
x/18 = 24/16
Applying cross multiplication, the distance between M and H is obtained as follows:
16x = 24(18)
x = 24 x 18/16
x = 27.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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A box of national brand cornflakes is $2.09 for 12 ounces. A box of store label cornflakes is $3.09 for 20 ounces. Assuming both brands taste equally good, which is the better buy? Justify your answer. Can someone help me?!?!
Answer: Store label cornflakes
Step-by-step explanation:
A dollar for 8 more oz of cornflakes than the national brand is a deal.
Triangle ABC has angles that measure 30°, 25°, and 125°, as shown below.
What is the sum of the measures of the three exterior angles, ZDBC and ZECA and/FAD?
The respective exterior angles are 155°, 55°, 150°
What is the angle sum property of a triangle?The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°
Given here: The angles of the triangle as 30°, 25°, and 125°
We know that sum of an exterior angle is the sum of the two non-adjacent angles
Thus we have ∠DBC= 30+125=155°
∠ECA=30+25=55°
∠FAD=25+125=150°
Hence, The respective exterior angles are 155°, 55°, 150°
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