A bird watcher on a cliff spotted a kingfisher 7 m above him.
Earlier he had seen it 11m below. What was the kingfisher’s
change in altitude?
Answer:
18 m
Step-by-step explanation:
11m + 7m is 18m
The final answer is 18m
The change in altitude of the kingfisher is 18 m.
What is the altitude length?The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.
Suppose the distance above the cliff is represented by a positive integer.
Then the distance below it is represented by a negative integer.
Thus, change in altitude of the kingfisher
= 7-(-11)
= 7+11
= 18 m
Hence, the change in altitude of the kingfisher is 18 m.
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Which is equivalent to x?
*image included below*
Answer:
[tex]\bigodot B.\:\: 31\sqrt 3[/tex]
Step-by-step explanation:
[tex]\huge x= 62.\cos 30\degree[/tex][tex]\huge x= 62.\frac{\sqrt 3}{2}[/tex][tex]\huge x= 31\sqrt 3[/tex]If (-1, 2) and (2, -1) are two opposite vertices of a square, what is the perimeter of the square?
The sides length of the square is 3 units, then the perimeter of the square is 12 units.
What is a square?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
If (-1, 2) and (2, -1) are two opposite vertices of a square, then the perimeter of the square will be
The other two vertices of the square will be
(-1, -1) and (2, 2)
Then the distance between the points (2, 2) and (2, -1) will be
[tex]\rm D = \sqrt{(2-2)^2+ (-1-2)^2}\\\\D = \sqrt{3^2}\\\\D = 3[/tex]
Then the perimeter of the square will be
Perimeter = 4 × 3
Perimeter = 12 units
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Can you help me solve please!!
Answer:
2sin((1)x + 135)-3
Step-by-step explanation:
Asin(Bx+C)+D
A = amplitude = distance from top to bottom divided by 2
y value of top = -1
y value of bottom = -5
distance from top to bottom = -1 - (-5) = 4
divide by 2 to get 4/2 = 2 as our amplitude
2π/B = period
in this case, we're working in degrees for our x axis - 2π = 360°
thus, 360°/B = period
period = time it takes to get from one high to the next (alternatively, one low to the next etc.) = 360 degrees in this case
thus, 360°/B = 360°
divide both sides by 360° and multiply both sides by B to isolate B
360/360 = B = 1
phase shift = -C/B
phase shift refers to how much the graph is shifted to the left/right. normally, the middle of a sin wave is at 0, with a peak being to the right of it. now, the middle of the sin wave (which has a peak to the right of it) is at x = -135 degrees to the right of a regular sine wave
thus,
-135 degrees = -C/B
B = 1
-135 degrees = -C
C = 135 degrees
D = vertical shift
the center is now at y = -3. normally, the center is at y = 0. thus, D = -3
our formula is thus
2sin((1)x + 135)-3
which equation represents a linear function?
Answer:
y = x - 3
Step-by-step explanation:
a linear equation has the form
y = ax + b
the only equation in this form is
y = x - 3
Three classes. Of third graders are going to the zoo. Ms. Noels class has 10 students. Mr. Grubbs class has 9 students, and Ms. Ackerman's class has 14 students. If the children divide evenly onto 3 buses, how many children will be on each bus?
Answer:
If the children divide evenly onto 3 buses, there will be 11 children on each bus
Step-by-step explanation:
Add all 3 classes to ind total amount of students
Ms. Noels class has 10 students
Mr. Grubbs class has 9 students
Ms. Ackerman's class has 14 students
Total Students: 10 students + 9 students + 14 students
33 total students
Dividing 33 students in 3 busses is 33 / 3 which equals 11
2. In 2008, the maximum taxable income for Social Security was
$ 102,000 and the tax rate was 6.2%.
paid in the year 2008?
What is the maximum Social Security tax anyone could have
b. Randy had two jobs in 2008. One employer paid him $67,010
and the other paid him $51,200. Each employer took out 6.2%
for Social Security taxes. How much did Randy overpay for Social
rity taxes in 2008?
Answer: A: $6324
B: by $1005.04 more
Step-by-step explanation:
A: 6.2% of 102,000 is 6324
B: find the tax rate of each job by finding 6.2% of what was paid, add them together, then subtract the maximum tax rate from that to see how he over paid
A family plans a road trip from Fairbanks to Newbury. The distance between the two cities is 240 miles when traveling on the highway. The family decides to take a new route, which they estimate will be 125% of the distance when traveling on the highway. There are approximately 48.28 kilometers in 30 miles. How many kilometers will the family drive on the new route? Round the answer to the nearest tenth. Enter the answer in the box.
Using proportions, it is found that the family will drive 482.8 km on the new route.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:
D = 1.25 x 240 = 300 miles.
Since there are are approximately 48.28 kilometers in 30 miles, and 300/30 = 10, the distance in kilometers is given by:
D = 48.28 x 10 = 482.8 km.
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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
48.89
Hope this helps!!
Answer: 48.89
Step-by-step explanation:
The proportion for tangent is the opposite side over the adjacent side.
[tex]\displaystyle \frac{\text{opposite \;side}}{\text{adjacent \;side}} =\frac{55}{48}[/tex]
Given:
tan(E) = [tex]\frac{55}{48}[/tex]
Inverse:
[tex]\displaystyle tan^{-1} (tan(E)) = (\frac{55}{48} ) tan^{-1}[/tex]
Simplify:
≈ 48.8879
Round:
≈ 48.89
Use the graph of f to describe the transformation that results in the graph of g.
f(x) = log x; g(x) = 2log x + 5
Answer:
Option (2)
Step-by-step explanation:
Find the perimeter and the area of the polygon with the given vertices.
T (2,7), U (2,9), V (5,9), W (5,7)
The perimeter is
units [?]
The area is
square units [?]
Check the picture below.
What is the quotient? startfraction n 3 over 2 n minus 6 endfraction divided by startfraction n 3 over 3 n minus 9 endfraction two-thirds three-halves startfraction (n 3) squared over 6 (n minus 3) squared endfraction startfraction 6 (n minus 3) squared over (n 3) squared endfraction
The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the expression:
[tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )\\\\Simplifying\ the\ expression:\\\\=(\frac{n+3}{2(n-3)})/ (\frac{3(n-3)}{n+3} )\\\\=\frac{3}{2}[/tex]
The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2
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LIKE 50-100 POINTS IDRK RIGHT ANSWERS ONLY OR I REPORT
What are the exact solutions of x2 − 3x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? x = the quantity of 3 plus or minus the square root of 37 all over 2 x = the quantity of negative 3 plus or minus the square root of 37 all over 2 x = the quantity of 3 plus or minus the square root of 19 all over 2 x = the quantity of negative 3 plus or minus the square root of 19 all over 2
Answer:
x = the quantity of 3 plus or minus the square root of 37 all over 2
Step-by-step explanation:
Given/To Find:
What are the exact solutions of x2 − 3x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?
Answer choices:
x = the quantity of 3 plus or minus the square root of 37 all over 2
x = the quantity of negative 3 plus or minus the square root of 37 all over 2 x = the quantity of 3 plus or minus the square root of 19 all over 2
x = the quantity of negative 3 plus or minus the square root of 19 all over 2
Solve:
By using the quadratic formula, the solutions are
[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4\times1\times(-7)}}{2\times1}[/tex]
[tex]x=\frac{3±\sqrt{37}}{2}[/tex]
Hence, the answer is :
x = the quantity of 3 plus or minus the square root of 37 all over 2
Kavinsky
Answer:
The exact solution is:
x = the quantity of 3 plus or minus the square root of 37 all over 2
Step-by-step explanation:
We are asked to find the exact solution of the polynomial equation which is given by:
[tex]x^2 - 3x - 7 = 0[/tex]
We know that the solution of the equation are the possible value of x which is obtained on solving the equation and hence satisfy the equation.
Now, on solving the quadratic equation i.e. degree 2 polynomial equation using the quadratic formula:
That is any polynomial equation of the type:
[tex]ax^2+bx+c=0[/tex]
is solved by using the formula:
[tex]x=\frac{-b±\sqrt{x} b^2-4ac}{2a}[/tex]
Here we have:
a=1, b=-3 and c=-7.
Hence, the solution of the equation is:
[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4*(-7)*1} }{2*1}[/tex]
[tex]x=\frac{3±\sqrt{9+28} }{2}[/tex]
[tex]x=\frac{3±\sqrt{37} }{2}[/tex]
Hence, the solution is:
x = the quantity of 3 plus or minus the square root of 37 all over 2
( i.e.
[tex]x=\frac{3±\sqrt{37} }{2}[/tex] )
please solve the given problem
Find the excat value of a and b
PLEASE help me
Answer:
[tex]a = b\sqrt{5} - 8\sqrt{5}\\b = -8 - \frac{a\sqrt{5}}{5}[/tex]
Step-by-step explanation:
working attached
Need help with this question please
Answer:
42.5° East of South
Step-by-step explanation:
Hope this helps :)
can someone help me with this problem? thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: c = \pi d[/tex]
where, d = 2r = 2 × 5 = 10 cm[tex]\qquad \sf \dashrightarrow \: c = 3.14 \times 10[/tex]
[tex]\qquad \sf \dashrightarrow \: c = 31.4 \: cm[/tex]
Answer:
31.4cm
Step-by-step explanation:
d = 2*r
r = 5
d = 10
circumference = d(3.14) = 10*3.14 = 31.4 cm
Hope this helps!!!
Please mark as brainliest!!!
BRAINLIEST For the fastest correct answer
hello I need help on this question
Answer:
D) A triangle where there is a 90 degree angle
Step-by-step explanation:
Consider the following piecewise-defined function.
Answer:
11......................
Write the improper fraction as an mixed number 27/11
Answer:
2 and 5/11
Step-by-step explanation:
first we find how many times 11 goes into 27. It goes in twice, which gives us our whole number, 2. Then we need to find the fraction part, which is whatever's left over. 27-22 is 5, giving us 2 and 5/11
What is the volume of the figure
Answer:
1,260
Step-by-step explanation:
you have too do 2 by 3 by 5 by 6 by 7 so you get
1,260
Triangle XYZ was reflected to form triangle LMN.
Which statements are true regarding the diagram? Select all that apply.
The option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a triangle XYZ shown in the diagram, and triangle LMN is the reflection of the triangle XYZ.
∠Z = 180 - 86-38 = 56°
Similarly,
∠L = 38°
From this, two triangles XYZ and LMN
We can say:
ΔXYZ≅ΔLMN
∠Y = ∠M = 86°
∠X =∠L = 38°
XZ ≅ LN
Thus, the option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.
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In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.
56%
subtract 13 from 30, and you get 17. Then you need to divide 17 and 30
Answer: 56.7%
Step-by-step explanation:
Girls = 30 -13 =17
Girls = 17/30 × 100/1
Girls = 0.567× 100
Girls = 56.7%
GET BRAINLY IF ANSWET
Answer:
He is false
Step-by-step explanation:
Hey there!
The area of a shape is the total measurement of the inside of the shape
Meaning the parts I shaded in the screenshot
As you can see in the image, there is less area in shape B than shape A
Meaning, that the area has decreased
Now, Tom says that both area and perimeter has decreased
Lets check if the perimeter has decreased
If you look at it, the perimeter hasn't decreased at all
All that has happened was the shape getting a new form
The dimension are basically split
For example, if the top side of the square was 6 inches
Then the dimension after taking out a square from the shape would split
The top side of that square after is was split would be something along the ligns of 4 inches, and 2 inches and other dimensions like that
That is how I think of the perimeter and if it changes or not
But this explains why Tom is wrong
Since the perimeter is still the same
Tom is wrong
A person on a lake sees a plane flying overhead. The angle formed by his line of sight to the plane is 39°; If the plane is flying about 5000 ft, find the horizontal ground distance between the person and the plane.
The horizontal ground distance between the person and the plane is 6174.5 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the horizontal ground distance between the person and the plane.
tan(39) = 5000 / d
d = 6174.5 feet
The horizontal ground distance between the person and the plane is 6174.5 feet
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In a survey of 900 students in a school, it was found that 600 students liked tea, 500 liked coffee, and 125 did not like both drinks.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the number of students who like both drinks.
(iii) Find the number of students who like one of these drinks only.
A) The number of students who like both drinks is 325.
B) The number of students who like one of these drinks only. 275
What is venn diagram?A Venn diagram is used to visually represent the differences and the similarities between two concepts.
Total students= 900
students like tea=600
students like coffee=500
Students did not like both drinks=125
Students who both or any one of the drinks= 900-125=725
Now,
students like both drinks= 600+500-725
= 325
Hence, the number of students who like both drinks is 325.
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help asap
Use the graph to find the indicated value of the function.
f(-2) means the x value is -2 and you need to find the y value at that point.
At x = -2 the line crosses the y axis at y = 2
f(-2) = 2
If a pair related to the function is graphed
Then
(x,y) be a pairSo
f(x)=y
x is domainy is rangeHer e
f(-2)Find the point
(-2,2)So
f(-2)=2
can someone help me im stuck on dis
[tex]~~~~(7x+8)+33 +90 = 180\\\\\implies 7x+131=180\\\\\implies 7x = 180 -131\\\\\implies 7x =49\\\\\implies x = \dfrac{49}7\\\\\implies x = 7[/tex]
Solve for x in the diagram below..
5x°
(X+54)°
Answer: x = 0
Step-by-step explanation: x+5=−5x+5
Add 5x to both sides.
x+5+5x=5
Combine x and 5x to get 6x.
6x+5=5
Subtract 5 from both sides.
6x=5−5
Subtract 5 from 5 to get 0.
6x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.
x=0
The dwarf planet Makemake completes one orbit around the Sun every 310 years. Which of the following functions r models the number of orbits of Makemake in t years?
Answer:
3rd option, r(t) = 310t
Step-by-step explanation:
310 years is like the slope so you multiple it by the amount of years
example: in 2 years it would make 620 orbits since 310(2) = 620
WILL MARK BRAINLIST! I'm doing fractions and decimals for homework
13) Jocelyn works out some divisions on her calculator and gets these answers
0.333333333
0.8333333333
2.1666666667
0.666666667
0.1428571429
1.6666666667
a) Why does a 7 appear at the end of three of the decimals?
b) Match each decimal to one of these fractions
1/7 1/3 5/3 2/3 5/6 13/6
Answer:
a
.6666666 has been rounded up to .6666667
b
0.3333333 = 1/3
0.8333333 = 5/6
2.1666667 = 13/6
0.6666667 = 2/3
0.1428571429 = 1/7
1.6666667 = 5/3
Step-by-step explanation:
a
7 appears at the end of 3 of the decimals because it has been rounded up from 6.66666 recurring.
b
I will go through how to convert one decimal to a fraction:
0.833333333 = x
8.333333333 = 10x
83.33333333 = 100x
100x - 10x = 75
90x = 75
x = 75/90 = 5/6