α =46º
1) Let's start by gathering the data:
S = 15 u²
a= 5.5
b= 7.5
Sketcing out:
2) One of the formulas to find out the area of a triangle is:
[tex]S=\frac{ab\cdot\sin (\alpha)}{2}[/tex]Plugging the given data into the formula we have:
[tex]\begin{gathered} 15=\frac{5.5\cdot7.5\sin (\alpha)}{2}\text{ }\times2 \\ 30\text{ =41.25}\cdot\sin (\alpha) \\ \frac{30}{41.25}=\frac{\text{41.25}\cdot\sin (\alpha)}{41.25} \\ 0.72=\sin (\alpha) \end{gathered}[/tex]2.2) Since we want to know the measure of that angle, then let's make use of the arcsine of (0.72)
[tex]\begin{gathered} \alpha=\sin ^{-1}(0.72) \\ \alpha=46.05\approx46 \end{gathered}[/tex]3) Hence, the missing acute angle is α =46º (rounded off to nearest whole number)
What is the Associative Property of Addition?The Associative Property of Addition states that when multiplying a number times the sum of two other numbers, that number can be multiplied by each of the numbers in the sum first and then added together.The Associative Property of Addition states that when adding three or more numbers, the order in which they are added is important.The Associative Property of Addition states that when adding numbers, the order can be reversed.The Associative Property of Addition states that when adding three or more numbers, they can be grouped in any way and the result will remain the same.
The associative property of addition states that when adding numbers, the order can be reversed.
The associative property of addition says that changing the grouping of the addends does not change the sum.
For example -
[tex](3+5)+4=3+(5+4)[/tex]Therefore, the given option (c) is correct.
The local seven digit telephone numbers in city A have 207 as the first three digits. How many different telephone numbers are possible in City A?
Given:
There are seven total digits.
The first 3 are already selected, so there is a choice for 4 digits.
There are 10 possible choices for each of the other 4 digits, so there are a total of 10×10×10×10 choices. Therefore:
[tex]10\times10\times10\times10=10000[/tex]Answer: 10000
The price of Apple stock, A(X), over a 12 month period decreased and thenincreased according to the equation A(x) = x x 0, where x equals the number ofmonths. The 2 - 6 + 2 price of Baller stock B(x), increased according to theequation B(x) = 3x + 2 over the same 12-month period. When were both stockvalues the same?
The question is: When we're both stock values the same? Then all you have to do is match both equations and solve for x, like this
[tex]\begin{gathered} A(x)=x^2-6x+20 \\ B(x)=3x+2 \\ \text{ Matching you have} \\ x^2-6x+20=3x+2 \\ \text{Subtract 3x from both sides of the equation} \\ x^2-6x+20-3x=3x+2-3x \\ x^2-9x+20=2 \end{gathered}[/tex][tex]\begin{gathered} \text{Now subtract 2 from both sides of the equation} \\ x^2-9x+20-2=2-2 \\ x^2-9x+18=0 \end{gathered}[/tex]Factoring the trinomial you get
[tex]x^2-9x+18=(x-6)(x-3)=0[/tex]Which implies that
[tex]\begin{gathered} x-6=0 \\ x=6 \\ \text{ or} \\ x-3=0 \\ x=3 \end{gathered}[/tex]Therefore, since x corresponds to the number of months, then the values of the two shares were equal at 3 and at 6 months.
A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ c=\sqrt{9^2 + 11^2}\implies c=\sqrt{202}\implies {\Large \begin{array}{llll} c\approx 14.2 \end{array}}[/tex]
I need to help with the page I attached below!
Nishnat can trade box tops only for printer.
Nishant keeps the box tops in 38 folders.
Each folder contains 80 box tops.
Number of box tops nishant has = number of folders x number of box tops in each folder
Number of box tops nishant has = 38 x 80
Number of box tops nishant has = 3040
For printer, he needs 1500 box tops
1500 < 3040
So, he can trade box tops for a printer.
For digital camera, he needs 3500 box tops
3500 > 3040
So, he can not trade box tops for a digital camera.
For tablet computer, he needs 5000 box tops
5000 > 3040
So, he cannot trade box tops for a tablet computer,
Therefore, Nishnat can trade box tops only for printer.
To learn more about multiplication refer here
https://brainly.com/question/10873737
#SPJ9
QUESTION 1Given a n x m matrix A and m X p matrix B, if AB = 0 then A = 0 or B = 0.TrueFalseQUESTION 2Given an xm matrix A,an n x n identity matrix I, exists such that I, A = Al, = A.TrueFalse
Given:
[tex]A_{n\times m},B_{m\times p}[/tex]If AB = 0,
Then it is not necessary that A=0 or B=0
To prove this, we consider an example:
Let n=m = p =2
Then AB is given as:
Clearly AB= 0 but A,B not equals to zero.
Hence, the given statement is not true.
Hence, the answer is false.
5÷1/12 write your answer in the simplest form.
Answer:60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle and one semicircle, with
another semicircle removed. Round to the nearest tenths place.
18
14
:C
PLEASE HELP 10 POINTS !!!!!!!!
Answer:
112
Step-by-step explanation:
8*14=112
3.14*4²=50.24
50.24/2=25.12
112-25.12+25.12=112
pls solve dis quiz iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer: the 3 equation I think
Step-by-step explanation: Find the value of X and y be sure to do on paper or message me for this one so I can give the answer to you without solving
If you solve this fast I’ll name you brainliest So pls help me
Answer:
x = 23
y = 119
Step-by-step explanation:
Line m is parallel to line n and the angle given as 61 and the angle that is represented with 4x - 31 are alternate angles and have equal measurement.
We can write the following equation based on this information:
4x - 31 = 61 add 31 to both sides
4x = 92 divide both sides by 4
x = 23
now onto y,
the angle represented with y and the angle that is represented with 4x - 31 are supplementary and their measures add up to 180:
4x - 31 + y = 180 replace x with 23
4*23 - 31 + y = 180
92 - 31 + y = 180 subtract like terms
61 + y = 180 subtract 61 from both sides
y = 119
How many cups are in 8 quarts? EXPLAIN FOR 5 STARS AND MORE
Answer:
32 us cups
Step-by-step explanation:
yes yes. ik but I just know this. I ahd the same assignment
Help with problem and pick if it is odd or even
Since
[tex]f(x)=-x^4+x^3+2x+x+1[/tex]even degree function, it will have an even number of real zeros, and, since it has a degree of 4, there will be 4, 2 or 0 real zeroes
A spinner with 10 equally sized slices is shown below. (2 slices are red, 4 are blue, and 4 are yellow.) The dial is spun and stops on a slice at random. What is the probability that the dial stops on a slice that is not red?Write your answer as a fraction or a whole number.
We will have the following:
Since there are 8 slices that are not red, the probability will be given by:
[tex]p=\frac{8}{10}\Rightarrow p=\frac{4}{5}\Rightarrow p=0.8[/tex]So, the probability will be of 4/5, that is 80%.
Anna saved $40 each month from babbysitting for 1 and 1/4 years. She spends 70% of her savings on a computer
how much money does she have left
( write the answer as a decimal to 2 places.)
The money left for Anna is $180 which was earned by babysitting for 15 months.
What is meant by the term percentage?To calculate a percentage, divide the value by the total value and multiply the result by 100.For the given question;
Monthly saving of Anna is $40.
Total time of babysitting is 1 and 1/4 years.
Total time = 5/4 years = 15 months.
Total money saved = 15 × $40 = $600.
70% of the money is spent
Thus, 30 % money is left.
Find 30% of $600
= 30 × 600/ 100
= $180.
Thus, the money left for Anna is $180 which was earned by babysitting for 15 months.
To know more about the percentage, here
https://brainly.com/question/24877689
#SPJ1
Henry goes to the town fair.Use the prices on the photograph to complete the table.Enter the correct answer in the box.
ANSWER
$28
EXPLANATION
We have that the entry fee is $10 and for each ride, $6 must be paid.
We want to complete the table by finding the cost of 3 rides.
First, let us represent the cost of going to the fair and taking the ride.
Let the number of rides a person takes by x.
We have that the cost of taking x rides will be the entry fee plus the cost of each ride taken:
Cost = 10 + 6x
So, for taking 3 rides, it will cost:
Cost = 10 + 6(3)
Cost = 10 + 18
Cost = $28
That is the cost of taking 3 rides.
there 3 cups of ketchup for every 1/2 cup of mustard what is the rate in cups of per ketchup per mustard
There are 3 cups of ketchup for every 1/2 cup of mustard, then the rate in cups of ketchup per cup of mustard is:
3÷1/2 = 3*2 = 6 cups of ketchup per cup of mustard
in the figure below, $3$ of the $6$ disks are to be painted blue, $2$ are to be painted red, and $1$ is to be painted green. two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. how many different paintings are possible?'
two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. then 12 different paintings are possible
First we figure out the number of ways to put the $3$ blue disks.
Denote the spots to put the disks as $1-6$ from left to right, top to bottom.
The cases to put the blue disks are $(1,2,3),(1,2,4),(1,2,5),(1,2,6),(2,3,5),(1,4,6)$.
For each of those cases we can easily figure out the number of ways for each case, so the total amount is $2+2+3+3+1+1 = (D) 12$
learn more about of rotation here
https://brainly.com/question/1571997
#SPJ4
Using the remainder theorem, what is f (3)when f (x) = −2x^4 + 9x² + 2x + 10? O-92 O -65 O 43 O 73
Answer:
Look at this attachment and it may help you
Step-by-step explanation:
Answer:
-64
Step-by-step explanation:
took the test
Can anyone tell me the answer to this problem in my picture if so ill give a high reward
Answer:
10x1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:[tex]10*4\7= \frac{40}{7} \\=5.714285714 \\\\ 10*\frac{10}{2}\\ \frac{10}{2}\\ =5 \\\\10*4\frac{2}{3} = 10*\frac{14}{3}\\\\ \frac{140}{3} = 46.66666667\\\\10*\frac{3}{4}=\\\\ \frac{30}{4} = 7.5\\\\10*\frac{9}{8}=\\\\\frac{90}{8} = 11.25\\ \\\\10X\frac{4}{7} , 10X\frac{3}{4} is the answer[/tex]
دیا
A new restaurant just opened up in your
neighborhood. One soda costs $2.75, and five
sodas cost $13.75. Is the cost a proportional or
non-proportional relationship?
proportional
not enough information
non-proportional
The cost for the soda is proportional.
How to calculate the value?For there to be a proportional relationship, there must be a constant.
In this case, one soda costs $2.75.
Also, five sodas cost $13.75. The cost per soda will be:
= $13.75 / 5
= $2.75
Since the values of $2.75 are the same, it has a proportional relationship.
Learn more about proportional relationship on
brainly.com/question/28777033
#SPJ1
The sculptures at Mount Rushmore each measure about 60 feet from chin to forehead. For the average person, this distance is 9 inches. The average distance between a person’s ears is 6 inches. What is the ratio of a person’s chin to forehead distance compared to the distance between his ears?
The distance from the chin to the forehead is 1.5 times the distance between the ears.
The average person's chin-to-forehead distance is 9 inches, and the distance between human ears is 6 inches. You are asked to compare the distance from a person's chin to their forehead to the distance between their ears.
Calculation:-
We can express the given information as:9/6
9/6 = 1.5.
Average speed is calculated by dividing the total distance something has traveled by the total time it took to travel that distance. Velocity is how fast something is going at a given moment.
Learn more about Average speed here:-https://brainly.com/question/4931057
#SPJ1
A jar contains only pennies, nickels, dimes, and quarters. There are 28 pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels. There are 90 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
If n represents of nickels in the jar, then the equation that can be used to find n is; n + 77 = 90
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Assume that n represent the number of nickels in the jar.
Given that the jar contains only , pennies, nickels, dimes, and quarters. There are 28 pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels.
This means that the total number if pennies, dimes and quarters would be;
23 + 28 + 26 = 77
This means that the number of coins that are not nickel = is 77
The total number of coins in the jar is 90. Therefore, the equation that can be used to find n is;
n + 77 = 90
n = 90- 77
n = 13 nickels
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ1
What is the value of 0 in the following image
We will determine the value of theta as follows:
[tex]\begin{gathered} cos(\theta)=\frac{10}{21}\Rightarrow\theta=cos^{-1}(\frac{10}{21}) \\ \\ \Rightarrow\theta\approx61.6 \end{gathered}[/tex]So, the measurement of the angle is approximately 61.6°.
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
Find the number for n that makes this equation
true:
205
n(8-3)+7(9 + 1) = 7(9 + 1) + 2(1 + 4)
a) 5 b) 70
c) 2
d) 20
What number is in
In this coordinate plane, the slope of line a is equal to the opposite reciprocal of the slope of line b.
Blank 1: [tex]\frac{k}{m}[/tex]
Blank 2: [tex]-\frac{k}{n}[/tex]
Blank 3: [tex]\frac{k}{m}=\frac{n}{k}[/tex]
Blank 4: [tex]\frac{KL}{KM}=\frac{KN}{KL}[/tex]
Blank 5: SAS similarity theorem
Blank 6-9: The options are needed
PLEASE HELP ASAP PLEASE!!!!!!!!!
Answer:
(4,-5)
Step-by-step explanation:
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
Micah has an electricity plan where he is charged a monthly fixed rate of $3.18 and a usage fee of $0.14 per kilowatt-hour. In the equation below, x represents the amount of electricity he used, and y represents the amount Micah was charged for electricity. y = $0.14x + $3.18 If Micah was charged $143.18 for electricity last month, how much electricity did he use? A. 140 kilowatt-hours B. 45 kilowatt-hours C. 1,023 kilowatt-hours D. 1,000 kilowatt-hours Reset Submit
Answer:
D. 1,000 kilowatt-hours
Step-by-step explanation:
Given:
[tex]y=0.14x+3.18[/tex]
If Micah was charged $143.18, then:
[tex]143.18=0.14x+3.18[/tex]
First, subtract 3.18 from both sides:
[tex]140.00=0.14x[/tex]
Then, divide both sides by 0.14:
[tex]1000=x[/tex]
3x + ( 8 )=4x ( 4 )
X=
Answer:
X = 8/13
Step-by-step explanation:
3x + 8 =4x 4
3x + 8 = 16x
3x + 8 - 8 = 16x - 8
3x - 16x - 8
X = 8/13