Answer:
73.40°
Given a right angle triangle.
Solve the missing angle using cosine rule.
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
Here given:
adjacent: 2
hypotenuse: 7
angle: x
Solve:
[tex]\rightarrow \sf cos(x) = \dfrac{2}{7}[/tex]
[tex]\rightarrow \sf x = cos^{-1}(\dfrac{2}{7})[/tex]
[tex]\rightarrow \sf x =73 .40^ \circ \:[/tex]
how do you convert weight measurements?
Answer:
See below
Step-by-step explanation:
You will need to know the conversion factors for each type of measurement
example 1 pound = 2.204 Kg
or 1 pound = 16 ounces
or 1 ounce = 28.35 gm
etc
If the volume of a cone is 10 m^3 what is its height if the area of the base is 10 m^2?
Answer:
3 m
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} b h \quad\textsf{(where b is the area of the circular base and h is the height)}[/tex]
Given:
volume = 10 m³Area of base = 10 m²[tex]\implies \sf 10=\dfrac{1}{3} \cdot 10 \cdot h[/tex]
[tex]\implies \sf 10=\dfrac{10}{3}h[/tex]
[tex]\implies \sf 30=10h[/tex]
[tex]\implies \sf h=\dfrac{30}{10}=3[/tex]
Answer:
height: 3 meter
Explanation:
[tex]\sf volume : \frac{1}{3} \ x \ base \ area \ x \ height[/tex]
Here given:
base area: 10 m²height: hvolume: 10 m³Solve:
[tex]\longrightarrow \sf 10 = \frac{1}{3} \ x \ 10 \ x \ h[/tex]
[tex]\longrightarrow \sf 10 = \frac{10}{3} \ x \ h[/tex]
[tex]\longrightarrow \sf \frac{10 \ x \ 3}{10} = h[/tex]
[tex]\longrightarrow \sf 3 = h[/tex]
3x-10=16+10
Solve.
This is easy.
Answer: X = 12
Step-by-step explanation:
Match each function with its range.
Step-by-step explanation:
1. y <= 0
2. all real numbers
3. y >= 0
4. y >= 2
5. y >= -2
6. y <= 2
A piece of length of wire 8 ¼m. It is cut into two pieces. The length of onee piece is 4 3/5 m. What is the length of other piece
Answer should be 7/2m
Answer:
3 ¹³/²⁰ m
Step-by-step explanation:
You first take 8¼ m then you subtract 4⅗m giving you 3 ¹³/20
The radius of a circle is 10 m. Find its area to the nearest whole number.
I need help rn it’s a final I need it asap
radius= 10 m
to find:the area of the given circle.
solution:[tex]a = \pi {r}^{2} [/tex]
[tex]a = \pi \times {10}^{2} [/tex]
[tex]a = 314.15927 \: {m}^{2} [/tex]
[tex]a = 314 \: {m}^{2} [/tex]
therefore, the area of the given circle is 314 square meters.
[tex]\large\boxed{Formula: a= \pi{r}^{2}}[/tex]
In this question raduis is given so we'll simply have to solve.
Let's solve!
The area of a circle is π times the radius squared.
Substitute the values according to the formula.
[tex]a= \pi \times {10}^{2}[/tex]
[tex]a= 314.1592654 \: {m}^{2}[/tex]
Now, we can round off to the nearest whole number.
The value in tenths place is less than 5 so we won't have to round up.
Final answer:
[tex]\large\boxed{a= 314 \: {m}^{2}}[/tex]
Hence, the area of the circle given in the question is 314 square inches to the nearest whole number.
Solve for x. Round to the nearest tenth.
Answer:
x = 4.55
Step-by-step explanation:
Tan(75) = 17/x
3.73 = 17/x
x3.73 =17
x = 4.55
Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answer:
x = 104°
Step-by-step explanation:
The 142° and <DCE form a straight line, and a straight line measures 180°, do the two angles add up to it:
180° = 142° + m<DCE
m<DCE = 38°
The red symbol in <DCE and <CDE mean they are congruent, so m<CDE is the same as m<DCE, which is 38°.
The 142° angle is an exterior angle to triangle, DCE, an exterior angles are the sum of the remote interior angles, which are <CDE and <DEC. Therefore, we can write:
142° = m<CDE + m<DEC
And we can substitute the values we have:
142° = 38° + x
x = 104°
PLEASE HELP MEE ANSWER THIS
Volume of a Rectangular Prism = length x width x height
Length = 4
Width = 2
Height = a
Volume = 7.2
7.2 = 4 x 2 x a
7.2 = 8 x a
a = 0.9
Answer: a = 0.9
Hope this helps!
Answer:
a = 0.9 cm
Step-by-step explanation:
Volume of a rectangular prism: L*W*H
L = 4 cmW = 2 cmH = a cmV = 7.2 cm³Substitute the values above into the formula:
V = L*W*H
7.2 = 4*2*a
7.2 = 8a
/8 /8
0.9 = a
Therefore, the value of a is 0.9 cm.
Hope this helps!
Which of the following functions matches this graph?
The equation that match the graph is
b. y = 3x^2
What is vertical stretch?In mathematics, a vertical stretch is a transformation of a function that changes the distance between the function's graph and the x-axis without changing its shape.
A vertical stretch multiplies all the y-coordinates of a function's graph by a constant factor greater than 1. This causes the graph to be stretched vertically and move further away from the x-axis.
For example, if we have a function f(x) = x^2, a vertical stretch by a factor of 3 would result in the function g(x) = 3x^2.
The graph of g(x) would be the same as that of f(x), but stretched vertically by a factor of 3.
Learn more about vertical stretch at
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Two arithmetic means between 3 and 24 are -
The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
What is arithmetic mean?Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.
The two arithmetic means between 3 and 24 are has to be inserted.
3, A₂, A₃, 24
All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:
t(n)=a(n-1)d
Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;
[tex]t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}[/tex]
The second and 3rd term are:
[tex]A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}[/tex]
Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
Learn more about the arithmetic mean here;
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miss rose teaches three ballet classes. her students' data are shown in the relative frequency table. which statement is true?
A. 20% of her students are in the intermediate class.
B. 25% of her students are in the beginner class.
C. 60% of her students are boys.
D. 15% of her students are girls.
5. A ball is thrown upward with an initial velocity of 50 feet per second. The
height h (in feet) of the ball after t seconds is given by h =
= -16t2 + 50t. At
the same time, a balloon is rising at a constant rate of 20 feet per second. Its
height h in feet after seconds is given by h = 20t.
a. When do the ball and the balloon reach the same height?
b. When does the ball reach its maximum height?
c. When does the ball hit the ground?
Answer:
SEE BELOW IN BOLD.
Step-by-step explanation:
a.
h = -16t^2 + 50t
h = 20 t
When the height is the same:
-16t^2 + 50t = 20t
-16t^2 + 30t = 0
t(-16t + 30) = 0
t = 0 or -16t + 30 = 0, so:
t = 0 or -30/-16 = 1.875
So the answer is 1.88 seconds to the nearest hundredth.
b.
For the ball
h = -16t^2 + 50t
Finding the derivative and equating to zero:
dh/dt = -32t + 50 = 0
t = -50/-32 = 1.563
Maximum height after 1.56 seconds to nearest hundredth
c.
When the ball hits the ground h = 0 so
-16t^2 + 50t = 0
-16t(t - 50/16)= 0
T = 3.13 SECONDS TO THE NEAREST HUNDERDTH
I really need a help, help help helppp Helpppppp please
Answer:
I am clueless. Take care though.
Step-by-step explanation:
When you use word processor functions such as spell check and thesaurus to write a second draft you are
A. Peer editing
B. Publishing
C. Revising
D. Prewriting
When you use word processor functions such as spell check and thesaurus to write a second draft, you are "C. Revising."
What is word processorRevising means making changes and improvements to a piece of writing to make it better. This includes making it easier to understand, organizing it well, and making sure it is good quality overall.
Using spell check helps you fix mistakes in your spelling, while using the thesaurus helps you find different words that mean the same thing and choose better words to make your writing clearer and more accurate.
Read more about word processor here:
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In slope-intercept form, write the equation of the line parallel to y=3x+4 that passes through (−5, 8).
y=_x+_
fill in the blanks
Answer:
y = 3x+13
Step-by-step explanation:
I would like to ask you if you know how to differentiate an equation to get a slope ?. I always use calculus to get a slope. The slope i found was 3 so i used y-y1 = m(x-x1) formula.
Answer: y = 3x+13
Step-by-step explanation:
The slope i found was 3 so i used y-y1 = m(x-x1) formula.
May I please get your help with this equation
Answer:
A) u=<9, 7>; v=<8, -2>
B) u+v = <17, 5>
C) 5u-2v = <29, 39>
Step-by-step explanation:
The component form of a 2-dimensional vector is usually written as an ordered pair with the horizontal component listed first. When vectors are added or subtracted, or multiplied by a scalar, the components are treated individually. Angle brackets may be used to signify the ordered pair represents a vector.
__
A.The horizontal and vertical dimensions of each of the vectors can be found by subtracting their coordinates, or by counting grid squares. Up or right is positive. The tail coordinates are subtracted from the head coordinates.
u = <11 -2, 1 -(-6)>
u = <9, 7>
v = <13 -5, 6 -8>
v = <8, -2>
__
B.The sum is the sum of the individual coordinates:
u +v = <9, 7> +<8, -2> = <9 +8, 7 -2>
u +v = <17, 5>
__
C.The weighted sum is the weighted sum of the individual coordinates:
5u -2v = 5<9, 7> -2<8, -2> = <5(9) -2(8), 5(7) -2(-2)>
5u -2v = <29, 39>
_____
Additional comment
Vector operations can often be conveniently done on a calculator by considering them as complex numbers. The vertical component corresponds to the imaginary component of a complex number.
Which of the following graphs matches the equation y=−4x+3?
CLEAR CHECK
On a coordinate plane, a line goes through (0, 3) and (3, negative 3).
On a coordinate plane, a line goes through (negative 2, 5) and (0, negative 3).
On a coordinate plane, a line goes through (0, 3) and (3, negative 1).
Answer:
On a coordinate plane, a line goes through (0, 3) and (3, negative 1).
Answer: the bottom left
Step-by-step explanation:
you will find it or just look it up if im wrong
Drag each expression to the correct location on the table.
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
answers from left
1. 1
2. 1/2
3. 2
4. 1
Write 7.03 x 10-3 as an ordinary number
Answer: 0.00703
Step-by-step explanation: The ordinary number, or standard form, of this expression would be 0.00703 because here, we are multiplying 7.03 in scientific notation by a power of ten that is negative. If any exponential power of 10 is being multiplied and is negative, the digits move that same number of places to the right of the decimal point to render a smaller number than it was in the expression. Hope this helps!
I need help with this
Answer: 473 square meters
Step-by-step explanation:
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Answer:
147
Step-by-step explanation:
Supplementary angles add to 180 total.
x + y = 180
x + 33 = 180
x = 147
The number of pupils in Pooti Junior School increased by x% form 800 pupils to 960. Find the value of x
How can you tell whether two graph functions
represent inverse functions or not?
Answer:
If is not one to one is not inverse (no inverse)
Step-by-step explanation:
The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.68. What is the probability that it will rain on at least three of the
five days they are there? Round your answer to the nearest thousandth.
Answer:
0.3386 = 0.339 (rounded).
Step-by-step explanation:
It is the binomial type probability distribution.
The number of trial n= 3; the probability of the success trial is 0.16, and the number of success trial k = 1.
what is the measure of BDC?
PLEASE ANSWER
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA
Answer:
B. AA similarity postulate
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
The angles are vertical, and the value of x is 128 degrees
Step-by-step explanation:
You can tell vertical angles apart from adjacent by looking at their position. Adjacent angles are side by side, right next to each other. Vertical angles are directly across from each other, with their points touching.
Since the angle measures of vertical angles are equal, the value of x is 128
i hope this helps
Algebra 1 is all about equations and functions. First, you learned about Linear Functions then Quadratic Functions. Next, you learned about Rational Functions (indirect variation), then Exponential and then Radical Functions. Before Algebra 1 comes to a close, it is good to review these functions and compare them side by side.
Complete the table below. The table is created for you in the Word or PDF Worksheet. If you don't have Microsoft Word, download the PDF and create the worksheet in an application of your choice, complete the worksheet and upload it as a PDF.
All images should be original. Graphed them using a digital calculator such as Desmos.
Resources: Desmos User Guide
Export a graph from Desmos by choosing 'Share' and then 'Export', or you can 'Print' them as a PDF. Alternatively, you can take a screenshot of your graph. You can insert the image into this table or give your image files a distinct name and upload them with this worksheet. You can upload them as a PDF, or you can use an image file format - PNG, JPG or GIF files.
Linear Quadratic Rational Exponential Radical
Parent Function:
Notation
----------------------------
Parent Function:
Graph
----------------------------
Translation:
Graph a function which extends
through quadrant 1, 2, and 4.
If it is not possible to graph
through these quadrants,
chose one or two quadrants and explain the choice.
-------------------------------------
Write the function notation
for the above function
-------------------------------------
Domain and Range of
translated function
Reflection: Write a paragraph summarizing what you learned from this activity.
Answer:
Algebra is simple and the answer is infinity due to there being over one million diffrent possoblitlitys, We know that because of albert ienstine so the answer has been solved.
Step-by-step explanation:
2. Find the cosine function that is represented in the graph.
Answer:
[tex]f(x) = cos(x - \frac{\pi }{4} ) -1[/tex]
Step-by-step explanation:
In this graph, we have the coordinate point ([tex]\frac{\pi }{4} , 0[/tex]). Without translations, cos(0) = 0, which means that the graph is shifted to the right by [tex]\frac{\pi }{4}[/tex]. We also know that the graph is shifted down by 1 because we have the point
([tex]\frac{5\pi }{4} , -2[/tex]), but accounting for the right shift, this point should really by ([tex]\pi , -2[/tex]). cos([tex]\pi[/tex]) = -1, but on the graph it is -2, meaning that it is shifted down by 1.
Therefore, accounting for the right shift by [tex]\frac{\pi }{4}[/tex] and the shift down by 1, our equation is [tex]f(x) = cos(x - \frac{pi}{4} ) - 1[/tex].