Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.
Answers
Answer:
x = 7[tex]\sqrt{2}[/tex] and y = 7
Step-by-step explanation:
Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex] so x = 7[tex]\sqrt{2}[/tex]
The values of [tex]x[/tex] and [tex]y[/tex] are required.
The required values are
[tex]x=9.9\ \text{units}[/tex]
[tex]y=7\ \text{units}[/tex]
The given triangle is a right angled triangle.
Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]
The sum of the angles is [tex]180^{\circ}[/tex]
The missing angle is
[tex]180-(90+45)=45^{\circ}[/tex]
Since, the two angles are equal the side opposite the angles will also be equal.
So,
[tex]y=7[/tex]
Applying the Pythagoras theorem.
[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]
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Related Questions
If the mass of an object is 50Kg and the acceleration is 2 m/s what is the force?
Answers
Answer:
Check pdf
Step-by-step explanation:
1) How many fourths are in one whole?
2) How many eighths are in one whole?
3) How many thirds are in one whole?
PLEASE HELP ASAP
Answers
Answer:
4 fourths are in one whole
8 eighths are in one whole
and 3 thirds are in one whole
Step-by-step explanation:
20 Points!!!! PLEASE help!! Math!! Due soon!!
Answers
Answer:
the first one is true, the third one is true, the fourth one is true, the fifth one is true
Step-by-step explanation:
the second one is false
*ill mark brainliest*
A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?
Answers
7x(15+5) plz help me solve this question by formula BODMAS
Answers
The brackets are first, then the multiplication
Which angles are complementary to 1? Select all that apply.
Answers
Answer:
angle 6 and angle 3
Step-by-step explanation:
angle 1 and angle 6 add up to 90 degrees
angle 6 is vertical to angle 3, so 1 is complementary to 3 as well
Please help! 30 points!
Use the Law of Cosines to solve the problem.
A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.
Answers
Answer: [tex]64.2^{\circ}[/tex]
Step-by-step explanation:
According to the cosine rule
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]
Putting values
[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]
So, the ship turns by [tex]64.2^{\circ}[/tex] north of west
The ship turned an at angle of 64.2 degrees north of west
Represent the angle, the ship turned due north of west with theta.
From the figure, we have the following equation
[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]
So, we have:
[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]
Evaluate the expression on the right-hand side
[tex]\cos(A) = -0.4350[/tex]
Take the arc cos of both sides
[tex]A = \cos^{-1}(0.4350)[/tex]
[tex]A =115.8^o[/tex]
The value of theta is then calculated as:
[tex]\theta = 180 -A[/tex]
This gives
[tex]\theta = 180 -115.8^o[/tex]
[tex]\theta = 64.2^o[/tex]
Hence, the ship turned an at angle of 64.2 degrees north of west
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30 divided by 12 pls hurry
Answers
Answer:
2.5 is the correct answer.
Step-by-step explanation:
Hope this helped Mark BRAINLEST!!!
Please help fast
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
prefent? ?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
Answers
The x intercepts are the prices that profit equals zero
B
Increasing from - infinity to 3 and decreasing from 3 to infinity. When price is less than 3 every increase in price results in an increase in profit. When price is greater than 3, every increase in price results in a decrease in profit. So what this is saying about sales is that when you set the price beyond 3 bucks, the amount of people willing the buy at that price drops such that you start making LESS profit because less people are willing to buy, and the lack of buyers offsets the additional price that the others are paying.
C
The average rate of change is 60 and this represents the increase in profit per increase in price
Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5
Pls help
Answers
Step-by-step explanation:
babababababababbababavavabababababa
The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answers
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
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What should be true in order for a scatter plot to show that a linear fit may be appropriate for a data set?
O The points should form an upward curve.
O The points should be scattered randomly.
O The points should appear to lie generally along a line.
O The points should form one line above the x-axis and another below it.
Answers
On a scatter plot, the points are randomly placed around the graph. The correct option is B.
What is a scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.
A scatter (XY) plot is a vertical data visualization method for displaying the relationship between two sets of data. It is a graphical display of data that consists of a collection of points plotted in a two- or three-dimensional plane.
The locations of the points in a scatter plot are chosen at random. The best choice is B.
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How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answers
Answer:
No solution
Step-by-step explanation:
Use substitution
2x+1=2x-1
Subtract 2x on both sides
1= -1
No solution
PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
Answers
Answer:
324
Step-by-step explanation:
divide 752 by 2 to get 376
then subtract 52 from 376 to get 324
Please someone answer this!
Andrew has $90 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in 2 years?
Answers
Answer: 108$
Step-by-step explanation:
Mr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help
Answers
17b + 2.97 = 34.76
17b = 31.79
b = $1.87
A bag of raisins is $1.87
tell whether the slope is positive or negative. then find the slope.
Answers
Answer:
slope is negative
m=-1
Step-by-step explanation:
the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.
yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)
that means that the slope of this line must be negative
We can calculate the slope (m) with this formula:
(y2-y1)/(x2-x1)
we can pick two points- for example, (1,3) and (2,2)
label the points:
x1=1
y1=3
x2=2
y2=2
now substitute into the equation
m=(2-3)/(2-1)
m=-1/1
m=-1
the slope is -1
Hope this helps! :)
8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no
Answers
Answer:
No
Step-by-step explanation:
I believe you have to approximate or round it off.
that will be 6.9.
Determine the value of x in each figure.
HELPPPPP PLEASEEEEE
Answers
Answer:
15°
Step-by-step explanation:
120° and 8x are vertically opposite angles, which are always equal.
=> 8x = 120°
=> x = 120/8
=> x = 15°
Find the output, y, when the input, c, is 6. HELP ASAP
Answers
what two number multiply to make -36 as well as add to make 16
Answers
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
Owen is going to an amusement park. The price of admission into the park is $40, and once he is inside the park, he will have to pay $2 for every ride he rides on. How much money would Owen have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on rr rides? PLEASE
Answers
Answer:
He will pay $14 to go on 7 rides with admission he will pay a total of $54.
Step-by-step explanation:
Admission-40
One ride-2
40+(2x7)=54
All repeating decimals are irrational True or false
Answers
Answer:
True
Step-by-step explanation:
Answer: the answer is true sorry if its wrong
Step-by-step explanation:
have a nice day buddy
Solve for the x.
Assume the segments that appear to be tangent are tangent.
Answers
4.5 i think im really not sure check with someone else before answering
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answers
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7
what do you call the 9 in the statement 30% of 9 is 3
Answers
Answer: You call the 9 a base.
Step-by-step explanation: 3 is the percentage or part of the whole or base.
Answer:
9 is the base of the statement.
Step-by-step explanation:
Since 30% is the rate which shows a percent symbol. 9 is the base which is the basis of the statement. Then 3 is the percentage you got from the 30% of 9.
This is a similar triangle please find the missing length. (?)
Answers
Answer:
33
Step-by-step explanation:
In ΔPQR,
length of side=
77= 7×11
84= 12
Similarly, In ΔFGH
length=
36=3×12
so, the other side= 3×11= 33
Answer:
33
Step-by-step explanation:
[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values
[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply
84*?=36*77
84*?=2772, divide both sides by 84 to get ? by itself
?=33
50 points and Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
2 pages with work
Answers
Answer:
1) (x + 12)²+(y+6)²= 28
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√28
h=-12
k=-6
;.centre=(-12,-6)
radius =√28 units
2) x²+(y+7)²=15
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√15
h=0
k=-7
;.centre=(0,-7)
radius=√15 units
3) (x + 4)²+(y - 1)² = 4
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√4=2units
h=-4
k=1
;.centre=(-4,1)
radius=√2units
4) (x+3)²+(y-1)²= 8
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√8=2√2units
h=-3
k=1
;.centre=(-3,1)
radius=2√2units
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY!!!!!!
LMNP is rotated 90' clockwise around the origin.
8
7
6
5
4
M(3, 4) N(5, 4)
3
2
1
LO1)
2
P19,0)
3
4
5
6
7
8
9
What are the coordinates of N'?
O A. N'(4,-5)
O B. N'(-5, -4)
C. N'(-4,5)
D. N'(5,-4)
Answers
Answer:
B
Step-by-step explanation:
Answer:
im not sure but it may be B as if i cant see the photo
Step-by-step explanation:
tell me if i got it right or wrong :)
The circumference of a tree trunk is 50 ft
Answers
Answer:
So the length will be the same as the length of the torso