Answer: (7) 7.0 (8) 17.3 (9) 64.7°
Step-by-step explanation:
Law of Cosines is: a² = b² + c² - 2bc · cos A
or: b² = a² + c² - 2ac · cos B
or: c² = a² + b² - 2ab · cos C
7) b = 4, c = 10, ∠A = 34
a² = b² + c² - 2bc · cos A
= 4² + 10² - 2(4)(10) · cos 34°
= 16 + 100 - 80 (0.829)
= 116 - 66.323
= 49.677
a = [tex]\sqrt{49.677}[/tex]
a = 7.0
8) a = 11, b = 8, ∠C = 131
c² = a² + b² - 2ab · cos C
= 11² + 8² - 2(11)(8) · cos 131°
= 121 + 64 - 176 (-0.656)
= 185 + 115
= 300
c = [tex]\sqrt{300}[/tex]
c = 17.3
9) a = 10.5, b = 5.9, c = 9.6
9.6² = 10.5² + 5.9² - 2(10.5)(5.9) · cos C
92.16 = 110.25 + 34.81 - 2(10.5)(5.9) · cos C
92.16 = 145.06 - 123.9 cos C
-52.9 = -123.9 cos C
0.427 = cos C
cos⁻¹ (0.427) = C
64.7° = C
Answer:
Answer:
A.
B.
C.
Step-by-step explanation:
We have been given inverse trigonometric functions. We are asked to find the value of each function.
A.
We will use inverse sin to solve our given equation as:
Round to nearest degree:
B.
We will use inverse tann to solve our given equation as:
Round to nearest degree:
C.
We will use inverse cosine to solve our given equation as:
Round to nearest degree:
Step-by-step explanation:
How much sand will it take to fill a 8 by 9 square pyramid
Solve for x in the triangle. Round your answer to the nearest tenth.
calculate the total area of the bottom sections of the back and the two side walls which should be tiled.Give your answer in squared metres rounded a
accurately to 2 decimals
Step-by-step explanation:
calculate the total area of the bottom sections of the back and the two side walls which should be tiled.Give your answer in squared metres rounded a
accurately to 2 decimals
Answer:
789÷2=11 nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
A cylinder has a height of 3 centimeters and a radius of 4 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
151 Centimeters if using 3 centimeters or 158 Centimeters if using 3.14 Centimeters
Step-by-step explanation:
Sorry if this isn't what you asked for, but i tried my best ^^
Angie opened a bank account She deposited $225 each
month for 4 months. Her bank charged her $5 each month
to use the account
How much money is in Angie's account after 4 months?
A $880
B. $920
C. $205
D. $220
Answer:
A $880
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
The diagram represents design of a triangular shaped photo frame match the segments and angles to the descriptions
Based on the angle-side relationship theorem, we would have the following:
Shortest side - ABLongest side - BCSmallest angle - ∠CLargest angle - ∠AWhat is the Angle-side Relationship Theorem?The angle-side relationship theorem states that the longest side of a triangle is opposite the largest angle, and vice versa.
Given the following:
m∠A = 82° (largest angle)m∠B = 58°m∠C = 180 - 82 - 58 = 40° (smallest angle)Therefore, based on the angle-side relationship theorem, we would have the following:
Shortest side - ABLongest side - BCSmallest angle - ∠CLargest angle - ∠ALearn more about angle-side relationship theorem on:
https://brainly.com/question/18980866
PLZZZ TELL ME HOW TO DO IT!!! I need help
Answer:
See explanation
Step-by-step explanation:
First, because it is a quadratic function, we know that its graph is a parabola that opens up, as x is positive. Because x has no coefficients, we also know that it is a basic parabola, with no vertical stretches or compressions, and a vertex at x=0. Because of the -3, we know the parabola has a verticle shift down 3 units, making the parabola's vertex at (0,3). Hope this helps!
i need help on a math question pls help thank u
WOTH 50 POINTS
Answer:
C. 7 ft
Step-by-step explanation:
The radius and height of the cone are the legs of a right triangle. The slant height is the hypotenuse.
24² + h² = 25²
576 + h² = 625
h² = 49
h = 7
Answer: C. 7 ft
Please help me ASAP
( I will mark brainliest )
Answer:
A, C, E
Step-by-step explanation:
Which of the following is the best definition of the probability of a certain
outcome of an event?
Answer:
Sorry but wheres the rest?
f(x) = 2x + 3 and g(x) = –x^2 + 5, find f(1) and g(1)
Answer: dont you need like a picture or sum to find g1 or something?
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(1)= 2(1)+3= 2 + 3 =5
g(1)= -1^2 + 5 = -1 + 5 = 4
125x80 solve the question
Answer:
10000.
.
.
.
.
.
.
.
.
.
.
.
.
hope its useful
sketch the graphs 2x+3y=1
an insect is 3.5 millimeters long which expression finds the length of the insect in decimeter
Answer:
0.035 decimeters.
Step-by-step explanation:
Answer:
The length of the insect in decimeters is 0.035.
Step-by-step explanation:
Conversion of unit questions can be solved by rule of three.
Each millimeter has 0.01 decimeter. How many decimeters are there in 3.5 millimeters? So:
1 ml - 0.01dm
3.5ml - x dm
The length of the insect in decimeters is 0.035.
Help!
What is the answer to this question?
Answer:
23°
Step-by-step explanation:
243° + 94° + b = 360°
337 + b = 360
337 - 337 + b = 360 - 337
b = 23°
243+94=337
337-360=23
Answer is 23
Scarlett and her friends are going into a movie theater. How much would it cost to
buy 5 drinks and 4 candies if each drink costs $4.50 and each candy costs $5.00?
How much would it cost to buy 5 drinks and 4 candies if each drink cost $d and each
candy cost $c?
Answer:
5 drinks: $25.00 4 candies: $18.00 Total: $43.00
inn equation form: $5d+$4.5c=?
Step-by-step explanation:
5*5=25
4.5*4=18
25+18=43
Answer:
answer is on screenshot pls like so i could get points lol
Step-by-step explanation:
Which statement best describes a cause and effect structure of a speech?
o It discusses similarities and differences between two different topics,
O It shows the challenges of a topic and explains how the issue can be solved.
O It provides the audience with the order in which events happened.
o It presents the reasons something happened and describes the result.
Answer:
Fourth option
Step-by-step explanation:
Cause and effect all starts with a reason for a certain event, for example perhaps a group of children going into an abandoned house that is rumored to be "haunted", which caused an effect. So, in this case the children going into an abandoned house that is rumored to be haunted (cause) which then lead into a result, a ghost started to chase them around the house in till they could manage an escape. (effect) Although creating a very good story for us to read, cause and effect has real life examples. The answer is the fourth option or "it presents the reasons something happened and describes the result."
Hope this helps.
Which statement about the function f(x) = 4x2 + x – 3 is true?
and
The expression 4x2 + x – 3 has factors (4x – 3) and (x + 1).
, and f(x) has zeros at = -1 and 1 =
The expression 4x2 + x – 3 has factors (4x – 3) and (x + 1). f(x) has zeros at
3 and 2 = 1.
The expression 4x2 + x – 3 has factors (4x + 3) and (x - 1), and f(x) has zeros at x = -1 and 2
The expression 4x2 + x – 3 has factors (4x + 3) and (x - 1), and f(x) has zeros at a = - and = 1.
Answer:
B
Step-by-step explanation:
Is y = 2x + 5 proportional
Answer:
yes
Step-by-step explanation:
becaise you can solve it
Q: use the number lines to write 0.9 as a binary fraction to the nearest sixteenth
Answer:
12
Step-by-step explanation:
Math Help Fast!!!
x 1 4 7 13 16 19
y 4 7 10 16 19 22
Based on the relationship between the independent variable x and dependent variable y above, Leia believes that the domain is {1, 4, 7, 10, 13, 16, 19} and the range is {4, 7, 10, 16, 19, 22}. Is Leia correct? If not, determine Leia's error, and state the correct domain and/or range.
Answer:
Leia is incorrect; 10 should not be in the domain.
Step-by-step explanation:
the domain is x, the range is y. The domain really should be '1, 4, 7, 13, 16 ,19' and the 10 should not be there.
The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probability that Samantha has to wait less than 4.5 minutes to catch the bus
Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.
The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:
[tex]P(X < 4.5) = \frac{4.5 - 0}{15 - 0} = 0.3[/tex]
More can be learned about the uniform distribution at https://brainly.com/question/13889040
X 3 4 x is 1/2 idk it .. if you can help thank you so much it’s math .
Answer:
1/32
Step-by-step explanation:
(1/2)^3 /4= (1/8)/ 4= 1/8 x 1/4= 1/32
The scale from a playground to this drawing is 6 ft to 1 cm. The scale from the same
playground to another drawing is 3 ft to 1 cm. What are the side lengths of the playground in the other scale drawing?
Answer:
30 cm and 20 cm
Step-by-step explanation:
hope it helps
Find X on the figure shown
Answer:
x = 30 cm
solve proportionality:
[tex]\sf \dfrac{larger \ side}{larger \ base} = \dfrac{shorter \ side}{shorter \ base}[/tex]
solve:
[tex]\hookrightarrow \sf \dfrac{x}{45} = \dfrac{18}{27}[/tex]
[tex]\hookrightarrow \sf {x}{} = \dfrac{18*45}{27}[/tex]
[tex]\hookrightarrow \sf {x}{} = 30[/tex]
Answer:
[tex]x=30\:cm[/tex]
Step-by-step explanation:
[tex]\frac{x}{45}=\frac{18}{27}[/tex]
[tex]x=\frac{18*45}{27}[/tex]
[tex]x=\frac{810}{27}[/tex]
[tex]x=30[/tex] [tex]cm[/tex]
-{ModPatrol}
A certain journal likes to give new writers an opportunity. Therefore, there is a 40% chance that an author’s first article submitted will be published. But, that author’s second article submitted, and each article submitted after that, have only a 20% chance of being published. Past history of being published has no influence on whether a new article will be published.
(a) What is the probability that a new author will be published for the first time when he or she
submits a 4th article?
(b) What is the probability a new author will be published for the first time within his or her first 5
articles submitted?
Answer:
a
[tex]P(A_4) = 0.077[/tex]
b
[tex]P(A_5) =0.7542 [/tex]
Step-by-step explanation:
From the question we are told that
The chance that a new authors first article will be submitted is [tex]P(A) = 0.40[/tex]
The chance that a new authors next article will be submitted is [tex]P(N) = 0.20[/tex]
Generally the probability that a new author first article is not published is
[tex]P(A)' = 1 - 0.4 = 0.6[/tex]
Generally the probability that a new author next articles are not published is
[tex]P(N)' = 1 - 0.2 = 0.8[/tex]
Now from the question we are told to obtain the probability that a new author will be published for the first time when he or she submits a 4th article, which implies that the new authors first three articles where not published
So the probability is mathematically represented as
[tex]P(A_4) = P(A)' * P(N)' * P(N)' * P(N)[/tex]
=> [tex]P(A_4) = 0.6 * 0.8 * 0.8* 0.2[/tex]
=> [tex]P(A_4) = 0.077[/tex]
Generally the probability that a new author will be published for the first time within his or her first 5 articles submitted is equivalent to
1 - [The probability that a new author will not be published for the first time
within his or her first 5 articles submitted]
Now the probability that a new author will not be published for the first time within his or her first 5 articles submitted. is mathematically represented as
[tex]P(A_5)' = P(A)' * P(N)' * P(N)'*P(N)'* P(N)'[/tex]
=> [tex]P(A_5)' = 0.6 *0.8 * 0.8'*0.8* 0.8[/tex]
=> [tex]P(A_5)' = 0.24576 [/tex]
Generally the probability that a new author will be published for the first time within his or her first 5 articles submitted is mathematically represented as
[tex]P(A_5) = 1 - P(A_5)'[/tex]
=> [tex]P(A_5) = 1 -0.24576 [/tex]
=> [tex]P(A_5) =0.7542 [/tex]
ninety hundred and seven thousandths as a decimial.
Answer:
Step-by-step explanation:
since 90 hundredths is 90/100, 90 hundredths is a fraction. if you divide 90 by 100 you get 0.90
since 7 thousandths is 7/1000 divide that as a fraction also.
You will get 0.007
add them together 0.907
Hope that helps
ANSWER CORRECTLY FOR 25 POINTS
Fill in the table using this function rule.
y=2x-1
x | y
6 |
8 |
9 |
10 |
FIND 'y's VALUE FOR ALL LISTED
Answer:
(6, 11)(8, 15)(9, 17)(10, 19)
Step-by-step explanation:
ohhhh
sooo
y = 2(6) - 1
y = 12 - 1
y = 11
(6, 11)
y = 2(8) - 1
y = 16 - 1
y = 15
(8, 15)
y = 2(9) - 1
y = 18 - 1
y = 17
(9, 17)
y = 2(10) - 1
y = 20 - 1
y = 19
(10, 19)
Help help help will give brainlest!!!!!
Answer:
1/8 hours
Step-by-step explanation:
First, we have to make our 2 fractions denominators the same to be able to subtract them! We want both of our denominators to be 8 so 5/8 already had 8 so we just need to change 1/2 to do that we are going to multiply the fraction by 4 so 1 x 4 = 4/2 x 4 = 8. Now we have 5/8 and 4/8. All we need to do now is subtract our fractions! 5/8 - 4/8 = 1/8
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
[tex]spent \:extra \: \frac{1}{8} hrs [/tex]
Step-by-step explanation:
[tex]haha.....its \: quite \: logical \\ she \:spent \: \frac{5}{8} - \frac{1}{2} = \frac{1}{8} hrs \: more.[/tex]
One of the original Seven Wonders of the World, the Great Pyramid of Cheops was built about 2580 BC. Its original height was 480 feet 11 inches, but owing to the loss of it's topmost stones, it is now shorter. Find the current height of the Great Pyramid using the information given in the illustration.
This value is approximate.
========================================================
Explanation:
The entire paragraph of text given to you is not needed. It's interesting that the height used to be 480 ft 11 in, but we don't use that anywhere in our calculations to get the current shorter height. Instead we rely solely on the diagram.
Refer to the diagrams I have posted below. Figure 1 is the same diagram more or less, but I've added the variables x and h.
x = horizontal distance from the center of the pyramid to the left most part of the pyramid.h = current height of the pyramidBoth h and x are in feet.
I've also added the point labels A through E.
I've split figure 1 into two pieces. Figure 2 focuses on triangle ADE and figure 3 focuses on triangle BDE.
---------------------
Let's put our attention on triangle ADE in figure 2.
Set up the tangent ratio shown below and solve for h.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{A}) = \frac{\text{DE}}{\text{AD}}\\\\\tan(40.3) = \frac{h}{x+200}\\\\h = (x+200)\tan(40.3)\\\\[/tex]
Now move onto triangle BDE in figure 3.
Set up the tangent ratio and apply substitution.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{B}) = \frac{\text{DE}}{\text{BD}}\\\\\tan(46.27) = \frac{h}{x+100}\\\\\tan(46.27) = \frac{(x+200)\tan(40.3)}{x+100}\\\\[/tex]
---------------------
Let's solve for x.
[tex]\tan(46.27) = \frac{(x+200)\tan(40.3)}{x+100}\\\\(x+100)\tan(46.27) = (x+200)\tan(40.3)\\\\x\tan(46.27)+100\tan(46.27) = x\tan(40.3)+200\tan(40.3)\\\\[/tex]
[tex]x\tan(46.27)-x\tan(40.3)=200\tan(40.3)-100\tan(46.27)\\\\x(\tan(46.27)-\tan(40.3))=200\tan(40.3)-100\tan(46.27)\\\\x=\frac{200\tan(40.3)-100\tan(46.27)}{\tan(46.27)-\tan(40.3)}\\\\x\approx 329.87238475414\\\\[/tex]
Use this to find h.
[tex]h = (x+200)\tan(40.3)\\\\h \approx (329.87238475414+200)\tan(40.3)\\\\h \approx 449.364461010933\\\\h\approx 449.364[/tex]
The height of the pyramid is currently 449.364 feet approximately.
---------------------
Lastly we'll convert to feet,inches format since the "480 ft 11 in" figure is in that format.
h = 449.364 ft
h = 449 ft + 0.364 ft
h = 449 ft + (0.364 ft)*(12 in/1 ft)
h = 449 ft + 4.368 in
h = 449 ft + 4 in
h = 449 feet, 4 inches