Answer:Substitute the given values in the Law of Sines and find that the measure is 24.72°
The measure of the missing angle is approximately 113.28°.
Assuming that the missing angle is opposite to side c, we can use the Law of Sines to find the measure of the missing angle. The Law of Sines states that for any triangle ABC:
a/sin(A) = b/sin(B) = c/sin(C)
Substituting the given values, we have:
16/sin(42°) = 10/sin(B) = c/sin(C)
Solving for sin(B), we get:
sin(B) = 10*sin(42°)/16 ≈ 0.4182
Using the inverse sine function, we can find the measure of angle B:
B ≈ sin⁻¹(0.4182) ≈ 24.72°
Now, we can use the fact that the angles of a triangle add up to 180° to find the measure of the missing angle:
A + B + C = 180°
A + 42° + 24.72° = 180°
A ≈ 113.28°
Therefore, the measure of the missing angle is approximately 113.28°.
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Which expression gives the volume of a sphere with radius 5?
Answer:
it is d
Step-by-step explanation:
formula of sphere=4/3* pi*r cubed
Answer:
D
Step-by-step explanation:
A is nothing.
B is the surface area
C is nothing
D is the volume of a sphere.
WILL GIVE BRANLIEST! :(
I am so bad at proofs!
It is all on the picture <3
Step-by-step explanation:
The triangles are congruent isosceles, therefore LM ≅ MN ≅ NO ≅ OL.
All four sides are equal, so be definition, quadrilateral LMNO is a rhombus.
Answer:
LMNO is a rhombus
Step-by-step explanation:
btw i love ur pfp! BLM
Find the area of right triangle RST
Check the picture below.
Answer:
B. 7.5 square units.
Step-by-step explanation:
We have been given an image of a right triangle. We are asked to find area of our given triangle.
We can see that base of our given triangle is 5 units as difference between point S and point T is 5 units.
[tex]2--3=2+3=5[/tex]
The height of our given triangle (RT) is 3 units.
[tex]1--2=1+2=3[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{Base}\times \text{Height}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{5 units}\times \text{3 units}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times 15\text{ units}^2[/tex]
[tex]\text{Area of triangle}=7.5\text{ units}^2[/tex]
Therefore, area of our given triangle is 7.5 square units and option B is the correct choice.
Which strategy would not correctly solve this story problem? Luke buys a muffin and glass of juice each Monday for breakfast. Each muffin costs $3 and each glass of juice costs $2. How much money will Luke spend for breakfast on 6 Mondays? A. Make a table. Week 1 2 3 4 5 6 Total ($) 5 10 15 20 25 B. Translate into an equation. (3 × 2) + 6 = d C. Use objects to represent the problem. Set out 6 small cups. Use coins to represent dollars. Add $2 + $3 to get the amount spent each Monday ($5). Put that number of coins into each cup. Count the number of coins in the cups. D. Use logical reasoning. In 1 week Luke spent $3 for a muffin plus $2 for juice for a total of $5. So to figure out how much Luke spent in 6 weeks, multiply $5 by 6.
Answer:
The answer is D.
Step-by-step explanation:
Each Monday, Luke spends $5 ($3 for the muffin, $2 for the juice). To figure out how much he spends in 6 weeks, you multiply $5 by 6. Hope this helps! :)
An object is launched from a platform. It's height (in meters), x seconds after the launch, is modeled by: h(x) = -5x^2 + 20x + 60. What is the height of the object at the time of launch?
Answer:
60 meters
Step-by-step explanation:
The standard form for parabolic motion is
[tex]h(x)=-5x^2+v_{0}x+h_{0}[/tex]
where [tex]v_{0}[/tex] is the initial upwards velocity and [tex]h_{0}[/tex] is the initial launching height. If I am understanding your question, this is what you are looking for. So the height AT the time of launch was 60 meters.
Answer:
The height of the object at the time of the launch is [tex]60m[/tex]
Step-by-step explanation:
We know that the height in meters, x seconds after the launch is modeled by the following function :
[tex]h(x)=-5x^{2}+20x+60[/tex]
For example, after [tex]x=3s[/tex] from the launch the height of the object is :
[tex]h(3s)=-5.(3^{2})+20.(3)+60=75[/tex]
[tex]h(3s)=75m[/tex]
If we want to know the height of the object at the time of the launch we will need to find the height of the object at [tex]x=0s[/tex] because that is the instant where the object is launched.
If we use [tex]x=0s[/tex] in [tex]h(x)[/tex] ⇒
[tex]h(0s)=-5.(0^{2})+20.(0)+60=60[/tex]
We find that the height of the object at the time of launch is [tex]60m[/tex]
If the volume of a rectangular prism is 200 cubic units, and the area of the base is 16 square units, what is the height of the prism?
Answer:
It is 12.5
Step-by-step explanation:
It is because the formula of finding the volume of a rectangular prism is area of the base x height.
So you do 200 divided by 16 (Which is the height) which equals 12.5
Answer:
The height of the prism is 12.5 units.
Step-by-step explanation:
Volume formula: V = (length)(width)(height)
or V = (area of base)(height)
Here, we want to calculate the height. The appropriate formula is
(height) = (volume) / (area of base) = (200 units³) / (16 units²) = 12.5 units
The height of the prism is 12.5 units.
PLEASE HELP ASAP 50 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Answer:
C
Step-by-step explanation:
Using the coefficients of each term and evaluating for h = - 4
- 4 | 1 - 7 - 7 20
↓ - 4 44 - 148
---------------------------
1 - 11 37 - 128 ← remainder
Quotient = x² - 11x + 37 , R - 128
[tex]log_{13} 244=\frac{ln244}{ln13}[/tex] ≈ [tex]2.143[/tex]
A. 2.143
B. 0.453
C. 3.949
D. 2.209
Answer:
A.
Step-by-step explanation:
The question is on laws of logarithms
For example to find the log₁₀ 100
⇒log₁₀ 100 = 2................how?
we take In 100 / 1n l0 = 2
where 10²=100
⇒Thus logₓ y = In y / In x
YTV.ov
INSIDE SALES Jessica Parker is a sales associate at JC Penney and is paid $13.60 per
hour for straight time and time and a half for all hours over 40 worked in a week. Find her
gross earnings for a week in which she worked 52 hours.
Answer:
is b
Step-by-step explanation:
A baker made 5 pounds of dough . He used 4/9 of the dough to make sandwich rolls . How much of the dough is left over
There’s twenty over nine pounds
Answer:
2.22..
Step-by-step explanation:
First you divide four by nine to get 0.44..
then you multiply that by five to get your answer which is 2.22.. , Two Point Two repeating, 20/9, 2 2/9 or Two and Two Ninths.
i need answer for these questions please
QUESTION 5
The given equation is:
[tex] \frac{5}{a + 3} = \frac{3}{a - 2} [/tex]
Cross multiply;
[tex]5(a - 2) = 3(a + 3)[/tex]
Expand:
5a-10=3a+9
Group similar terms:
5a-3a=9+10
2a=19
Divide both sides by 2
[tex]a = \frac{19}{2} [/tex]
[tex]a = 9\frac{1}{2} [/tex]
The correct answer is C.
QUESTION 7
The given equation is:
[tex] \frac{3}{y - 2}= 8[/tex]
There is an invisible 1 in the denominator on the RHS.
[tex] \frac{3}{y - 2}= \frac{8}{1} [/tex]
Cross multiply:
[tex] 3\times 1 = 8(y - 2)[/tex]
Expand:
[tex]3= 8y - 16[/tex]
Group similar terms,
[tex]3 + 16 = 8y[/tex]
[tex]19 = 8y[/tex]
Divide both sides by 8.
[tex]y = \frac{19}{8} [/tex]
[tex]y = 2 \frac{3}{8} [/tex]
The correct answer is C.
QUESTION 8
The given fraction is:
[tex] \frac{ {w}^{2} + 5w + 6}{ {w}^{2} - w - 12 } [/tex]
Factor both the numerator and the denominator to obtain:
[tex] \frac{(w + 3)(w + 2)}{(w + 3)(w - 4)} [/tex]
Cancel the common factors;
[tex]\frac{w + 2}{w - 4} [/tex]
The correct answer is B.
QUESTION 9
The given expression is;
[tex] \frac{3m}{m - 6} \times \frac{5 {m}^{3} - 30 {m}^{2} }{5 {m}^{2} } [/tex]
Factor the numerator of the second fraction.
[tex]\frac{3m}{m - 6} \times \frac{5 {m}^{2}(m - 6)}{5 {m}^{2} }[/tex]
Cancel the common factors,
[tex] \frac{3m}{1} [/tex]
[tex] = 3m[/tex]
The correct answer is D.
QUESTION 10
The given expression is:
[tex] \frac{7x + 21}{ {x}^{2} + 5x + 6} \div \frac{x + 6}{x + 2} [/tex]
Multiply by the reciprocal of the second fraction.
[tex]\frac{7x + 21}{ {x}^{2} + 5x + 6} \times \frac{x + 2}{x + 6} [/tex]
Factor the first fraction to get:
[tex]\frac{7(x + 3)}{ (x + 2)(x + 3)} \times \frac{x + 2}{x + 6} [/tex]
Cancel the common factors:
[tex] \frac{7}{x + 6} [/tex]
The correct answer is A.
TAKE ALL MY POINTS PLEASE HELP ME
The high temperatures for Dallas, Texas in June 1985 and June 2013 are shown. Use the data to create a comparative dot plot and comparative box plot and use them to compare the weather then and now. Remember to use at least two module vocabulary words in your responses.
1. Create a comparative dot plot for the data sets.
2. Assess the degree of overlap between the data sets and compare the shapes, centers, and spreads of the two groups using the comparative dot plot.
3. Create a comparative box plot for the data sets.
4. Assess the degree of overlap between the data sets and compare the shapes, centers, and spreads of the two groups using the comparative box plot.
1. First two pictures below.
2.Both of them have large clusters that are a couple spaces away. The range is greater with June 2013.
3. Second two pictures below. The third pic is June 1985 and fourth is June 2013.
4. The spread is smaller for June 1985. The boxes are seem to have the same proximity to each other which shows a tight center between the two box plots.
May be to late, but I'll post my answers to your questions anyway :)
Final answer:
Without specific temperature data, we cannot create the comparative dot plots and box plots requested by the student. Instructions have been provided on how to create and analyze them once the data is available.
Explanation:
To answer the student's question about comparing the high temperatures for Dallas, Texas in June 1985 and June 2013 using comparative dot plots and comparative box plots, we first need the individual temperature data for each June to create these graphs. Unfortunately, without the specific data, we are unable to create the plots.
However, we can discuss how to approach this problem. To create a comparative dot plot, you would list the temperatures for each data set on a horizontal line, each set represented by dots. Then, assess the degree of overlap by visually inspecting where the dots from both data sets lie in relation to each other. Compare their shapes, centers, and spreads by observing the clustering of the dots, the location of the “middle” of the dots, and how far the dots extend out from the center.
For the comparative box plot, you would draw two box plots on the same axis. A box plot displays the minimum, first quartile, median (or second quartile), third quartile, and maximum. Assess the degree of overlap by comparing where the boxes and whiskers of the plots are positioned in relation to each other, again paying attention to the centers (medians), spreads (interquartile ranges), as well as the overall range of data. Both types of plots can help ascertain whether the high temperature in June of each year was significantly different from the other, and how each year's temperatures compare to the historical average.
Farmer Bob has pigs and chickens. He has 37 animals, and there are 124 legs among them altogether. How many chickens does Bob have? A. 25 B. 4 C. 12 D. –4
C. bc chickens have two legs each making it 12 chickens times 2 legs equal 24 plus the remaining 25 animals (pigs) would be 25x4=100+24 chicken legs = 124
For this case we have that the pigs have 4 legs while the hens have 2.
We propose a system of equations:
x: Variable representing the number of pigs
y: Variable representing the number of chickens
[tex]x + y = 37\\4x + 2y = 124[/tex]
We multiply by -4 the first equation:
[tex]-4x-4y = -148[/tex]
We add the equations:
[tex]-4x-4y = -148\\4x + 2y = 124\\-4y + 2y = -148 + 124\\-2y = -24\\y = \frac {24} {2}\\y = 12[/tex]
So, there are 12 chickens.
[tex]x + 12 = 37\\x = 37-12\\x = 25[/tex]
There are 25 pigs.
ANswer:
25 pigs
12 chickens
Option C
Which statement describes a strong U.S. dollar?
Answer:
I can tell you that B is NOT correct as I got it wrong. I bet the right answer is C as it is holding steady at 1:95.
Step-by-step explanation:
These are the choices for Plato
A. The exchange rate between the U.S. dollar and the yen changes from 1:95 to 1:102.
B. The exchange rate between the U.S. dollar and the euro changes from 1:95 to 1:92. - Wrong answer
C. The exchange rate between the U.S. dollar and the euro remains 1:95
Which of the following functions has the largest value when x = 3?
c(x) = 3x2 + 5x + 22
j(x) = 12x
a(x) = 9x
All the functions are equal at x = 3.
c(x)
j(x)
a(x)
Answer:
c(3) is the largest
Step-by-step explanation:
For positive values of x, j(x) > a(x), so the comparison is between c(x) and j(x).
Without evaluating the functions, you can subtract 5x from them to get ...
c'(x) = c(x) -5x = 3x² +22
j'(x) = j(x) -5x = 7x
Now the question is whether c'(3) is larger than j'(3). The latter is ...
j'(3) = 7·3 = 21
Since c'(3) has an added constant of 22 and x² will be positive, we know that ...
c(3) > j(3) > a(3)
The function with the largest value at x=3 is c(x).
_____
You can, of course, simply evaluate the functions:
c(3) = (3·3 +5)·3 +22 = 14·3 +22 = 42 +22 = 64j(3) = 12·3 = 36a(3) = 9·3 = 27c(3) > j(3) > a(3) . . . . . . . c(3) is the largest
Answer:
It’s D
Step-by-step explanation:
a(x)
Please help me out with this
Answer:
162.4 in²
Step-by-step explanation:
The area (A) of a regular octagon is
A = [tex]\frac{1}{2}[/tex] perimeter × apothem
here perimeter = 8 × 5.8 = 46.4 in, hence
A = 0.5 × 46.4 × 7 = 162.4 in²
What is the magnitude of the vector (7, -4) to the nearest tenth?
2.4
5.7
8.1
9.0
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorem: hyp² = 7² + (-4)² = 49 + 16 = 65.
The magnitude of this vector <7, -4> is 8.1, to the nearest tenth.
HELP ASAP!!!!! PLEASE
Find the area of the square, which has a side length of 2.
Area of square = 2 x 2 = 4
Now multiply the area by the length b
Volume = 4 x 5 = 20 square units total.
A taxpayer had a taxable income of $14,200, and his spouse had a taxable income of $13,700. If they wish to file their tax return jointly, which tax bracket will they fall into?
A. 0%
B. 10%
C. 38%
D. 15%
Answer:
15% apex confirmed
Step-by-step explanation:
The taxpayer and his spouse, with a combined taxable income of $27,900, will fall into the 15% tax bracket for a married couple filing jointly for the 2020 tax year.
Explanation:The subject of this question is the United States Federal Income Tax Brackets. The taxpayer and his spouse have a combined taxable income of $14,200 + $13,700 = $27,900. For the 2020 tax year, a married couple filing jointly with taxable income between $0 and $19,750 fall in the 10% tax bracket, while those with taxable income between $19,751 to $80,250 are in the 15% tax bracket. So, the taxpayer and his spouse, with their combined taxable income, will fall into the 15% tax bracket. Their taxable income exceeds the threshold for the 10% tax bracket and does not reach the threshold for the 38% bracket. Please note, it's important to stay informed about tax brackets as they can change annually.
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W = -0.5m + 16Henry's water bottle is leaking at a constant rate. The amount of water, W in ounces, that is left in the water bottle after leaking for m minutes is given by the equation above. What does the −0.5 mean in the equation?The water bottle loses 2 ounces of water per minute
The water bottle loses 0.5 an ounce of water per minute
The water bottle has 0.5 an ounce of water in it at the start
0.5 of the water has leaked from the water bottls in one minute
Answer:
• The water bottle loses 0.5 an ounce of water per minute
Step-by-step explanation:
The definition of the variables tells you that m stands for minutes and that W stands for the water remaining in the bottle. So, the -0.5m in the equation has the effect of reducing the remaining water by 0.5 each time m increases by 1. That is, there are 0.5 fewer ounces of water after each additional minute: the bottle loses 0.5 ounces per minute.
20 POINTS PLEASE HELP!!!!!!!
Answer is y = 3sin2(x - pi/4).
You have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?
Answer:
120 ways.
Step-by-step explanation:
We have been given that you have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line.
We will use permutation formula to solve our given problem as:
[tex]_{r}^{n}\textrm{C}=\frac{n!}{(n-r)!}[/tex]
[tex]_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!}[/tex]
[tex]_{3}^{6}\textrm{C}=\frac{6\cdot 5\cdot 4\cdot 3!}{3!}[/tex]
[tex]_{3}^{6}\textrm{C}=6\cdot 5\cdot 4[/tex]
[tex]_{3}^{6}\textrm{C}=120[/tex]
Therefore, you can arrange your reindeer in 120 different ways.
PLEASE HELP!
Find the function inverse ,f-1(x) , of y = 2x + 1.
Answer:
[tex]f^{-1}(x)=\frac{x}{2}-\frac{1}{2}[/tex]
Step-by-step explanation:
It is called an inverse or reciprocal function of [tex]f[/tex] to another function [tex]f^{-1}[/tex] that fulfills that:
If [tex]f(a)=b[/tex], then [tex]f^{-1} (b)=a[/tex]
To calculate the inverse of the function [tex]y=2x+1[/tex]
[tex]f(x)=y[/tex]
So, rewritting the function
[tex]f(x)=2x+1[/tex]
Changing the x for y
[tex]x=2y+1[/tex]
Let's clear y
[tex]y=\frac{x-1}{2}[/tex]
Ordering the function above
[tex]y=\frac{x}{2}-\frac{1}{2}[/tex]
So, the inverse of the function [tex]f(x)=2x+1[/tex] is:
[tex]f^{-1}(x)=\frac{x}{2}-\frac{1}{2}[/tex]
.
When we solving a formula for a specific variable we must ______ it
Answer:
you must solve the question.
Step-by-step explanation:
it would be when we're solving a formula for himself a variable we must solve it.
Answer:
isolate
Step-by-step explanation:
Measure the sides and angles of the two triangles. Are the two triangles similar? Yes, corresponding angles are congruent. Yes, all sides have been increased by 1 unit. Yes, corresponding sides are proportional. No, corresponding angles are not congruent and corresponding sides are not proportional.
Answer:
D) No, corresponding angles are not congruent and corresponding sides are not proportional.
;]
Step-by-step explanation:
Answer:
the answer is D i just answered it with D and its correct
good luck on your assignment :)
Step-by-step explanation:
Consider the hyperbola represented by the equation: (picture)
The center of the hyperbola is _______
The left vertex, if the hyperbola opens horizontally, or the bottom vertex, if it opens vertically, is ______
The other vertex is ______
Answer:
- The center of hyperbola is (-2 , 3)
- The left vertex, if the hyperbola opens horizontally, or the
bottom vertex, if it opens vertically, is (-6 , 3)
- The other vertex is (2 , 3)
Step-by-step explanation:
* Lets study the equation of the hyperbola
- The standard form of the equation of a hyperbola with
center (h , k) and transverse axis parallel to the x-axis is
(x - h)²/a² - (y - k)²/b² = 1, Where
- The length of the transverse axis is 2a
- The coordinates of the vertices are (h ± a , k)
- The length of the conjugate axis is 2b
- The coordinates of the co-vertices are (h , k ± b)
- The coordinates of the foci are (h ± c , k), where c² = a² + b²
* Now lets solve the problem
∵ (x + 2)²/4² - (y - 3)²/5² = 1
∵ (x - h)²/a² - (y - k)²/b² = 1
∴ a = 4 , b = 5
∴ h = -2 , k = 3
∵ The center of the hyperbola is (h , k)
∴ The center of hyperbola is (-2 , 3)
∵ The coordinates of the vertices are (h + a , k) , (h - a , k)
∴ The coordinates of the vertices are (-2 + 4 , 3) , (-2 - 4 , 3)
∴ The coordinates of the vertices are (2 , 3) , (-6 , 3)
∴ The left vertex, if the hyperbola opens horizontally, or the
bottom vertex, if it opens vertically, is (-6 , 3)
∴ The other vertex is (2 , 3)
The center of a hyperbola is determined by the coordinates (h, k) in its equation. The vertices are the points where the hyperbola intersects its major axis, and their positions depend on whether the hyperbola opens horizontally or vertically. If it opens horizontally, the left vertex is at (h - A, k), and if it opens vertically, the bottom vertex is at (h, k - B).
Explanation:In the equation of a hyperbola, the center of the hyperbola can be found by identifying the coordinates (h, k). These are the constants in the denominators of the fractions on the left-hand side of the equation. For instance, in the equation ((x-h)²/A²) - ((y-k)²/B²) = 1, the center would be at the point (h, k).
The vertices of the hyperbola are the points where the hyperbola intersects its major axis. If the hyperbola opens horizontally, the left vertex will be located at the coordinate (h - A, k), and the other vertex will be at (h + A, k). If the hyperbola opens vertically, the bottom vertex will be at the coordinate (h, k - B), with the other vertex at (h, k + B).
Remember, A represents the distance from the center to a vertex along the major axis, and B represents the distance from the center to a vertex along the minor axis.
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Best Deal 1
Quantity of Flour Price
3 pounds $5.25
5 pounds $9.75
7 pounds $12.60
10 pounds $14.20
12 pounds $18.24
A baker purchases flour each week from a wholesale warehouse. The chart shows the quantities and prices available this week. If the caterer decides to buy the BEST deal, how much will he save per pound of flour over the most expensive deal?
A) $0.28
B) $0.37
C) $0.47
D) $0.53
d. $0.53 because..
3/5.25 = 1/1.75
5/9.75 = 1.95
7/12.60 = 1.80
10/14.20 = 1.42
12/18.24 = 1.52
then do ;
most expensive deal - least expensive deal = how much he’ll save
1.95 - 1.42 = .53
Answer: The answer would be D.
like she said down there !
!
Step-by-step explanation:
Natasha is driving at a rate of 4 miles every 3 minutes how fast is Natasha driving
Answer:
80 mph
Step-by-step explanation:
Since Natasha is driving at a rate of 4 miles every 3 minutes, we are asked to find her speed in mph. Since there are 60 minutes in an hour, we can make a proportion: 4/3 = x/60. Solving for x, we get x to be 80. So Natasha is driving at 80 miles an hour.
Answer:
80 miles per hour
Step-by-step explanation:
60 / 3 = 20
4 x 20 = 80
3 less than 3 times a number is 12, what is it?
The number is 3.
3x3 is 9, which is 3 less than 12.
Answer:
The number is 5.
Step-by-step explanation:
12 plus 3 is 15.
5 x 3 = 15
15 - 3 = 12
3 less than 3 times a number is 12.
It sounds like 3 less from a number IS 12. So adding 3 to 12 will get 15, and 15 divided by 3 equals 5.
I hope this is correct and that it helps! :)
Can somebody help me?
Answer:
6
Step-by-step explanation:
Arc length = radius * central angle
s = rθ
A circle is 2π radians, so 1/3 of that is 2/3 π.
Given that s = 12 and θ = 2/3 π:
12 = r (2/3 π)
r = 18/π
r ≈ 6