Answer:
sin 105 = sin (45 + 60) = sin 45 cos 60 + cos 45 sin 60, or
= (1 / √2)(1 / 2) + (1 / √2)(√3 / 2)
1 + √3
= -------------
2√2
Step-by-step explanation:
Which of the following is a correct interpretation of the expression -4- (-7)?
Choose 1 answer:
The number that is
to the left of -7 on the number line
B
The number that is 4 to the right of -7 on the number line
The number that is 7 to the left of -4 on the number line
D
The number that is 7 to the right of -4 on the number line
Answer:
I think option (d) is right answer
Answer:
c
Step-by-step explanation:
HELP PLEASEE
I’m stuck
Answer:
:-):-)
Step-by-step explanation:
1) p<1000
2)p>500
3)By combining the above two, we get: 500<p<1000
Andre will agree as he thinks that the no. of paper clips in the box is less than 1000. But lin will not as she thinks that the no. of clips is more than 500.
4)This time, they both will agree as the no. of paper clips is more than 500 but less than 1000.
MSL7
Dificuit Dimensions
A tool box has the dimensions of 8 in by 7 in by 4 in. If Jacob plans to double all three
dimensions to build a larger tool box, he believes he would double the volume of the tool box,
Is he correct?
pllssss help I put B, but I got it wrong the first time. NO LINKS
Answer:
D.1767.1 in³
Step-by-step explanation:
volume of a sphere=4/3πr³
where r=radius of the sphere
Given diemeter= 15in
so radius=15/2=7.5in
volume=4/3×π×(7.5)³
=4/3×22/7×(7.5)³
=1767.1in³
hope it helps...
have a great day!!
help your girl outtt !!!
On the left, prism A. Prism A is a triangular prism. The base has side lengths of 6 centimeters, 8 centimeters, and 10 centimeters. On the right, prism B. Prism B is a rectangular prism. The base has side lengths of 5 centimeters and 5 centimeters.
Answer:
Prism B has a larger base area
Step-by-step explanation:
Given
Base dimensions:
Prism A:
Lengths: 6cm, 8cm and 10cm
Prism B:
Lengths: 5cm and 5cm
Required [Missing from the question]
Which prism has a larger base area
For prism A
First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.
The longest side is the hypotenuse; So:
[tex]10^2 = 8^2 + 6^2[/tex]
[tex]100 = 64 + 36[/tex]
[tex]100 = 100[/tex]
The above shows that the base dimension forms a right-angled triangle.
The base area is then calculated by;
Area = 0.5 * Products of two sides (other than the hypotenuse)
[tex]Area = 0.5 * 8cm * 6cm[/tex]
[tex]Area = 24cm^2[/tex]
For Prism B
[tex]Lengths = 5cm\ and\ 5cm[/tex]
So, the area is:
[tex]Area = 5cm * 5cm[/tex]
[tex]Area = 25cm^2[/tex]
By comparison, prism B has a larger base area because [tex]25cm^2 > 24cm^2[/tex]
The drawing shows a semicircular window separated into 3 sections of colored glass
Approximately how many square inches of the tinted glass are red
Answer:
141.3
Step-by-step explanation:
27.78% of the total area is covered with red.
What is the area of a sector? What is a expression? What is a mathematical equation?A part of a circle is called sector. The area of a sector is given by -(Ф/360) x πr²
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the given semicircle as shown in image.
Total green coloured area -
A[G] = 2 x {(Ф/360) x πr²}
A[G] = 2 x (40/360 x πr²}
A[G] = (2/9)πr²
Now -
A[R] = πr²/2 - (2/9)πr²
A[R] = πr²{1/2 - 2/9}
A[R]% = (πr²{1/2 - 2/9}/πr²) x 100
A[R]% = (1/2 - 2/9) x 100
A[R]% = (9 - 4)/18 x 100
A[R]% = 5/18 x 100
A[R]% = 500/18
A[R]% = 27.78%
Therefore, 27.78% of the total area is covered with red.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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Find the length of the side labeled x. Round intermediate values to the nearest 10th. Use the rounded values to calculate the next value. Round your final answer to the nearest 10th
Answer:
16.0(?)
Step-by-step explanation:
I’m not really sure if it’s correct. But I’m assume it’s correct.
Is the spinner shown a fair spinner? Explain
why or why not.
PLZ HELP ASAP WILL MARK BRAINLIEST
Answer:
72[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex]
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{6}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 6 )
opp = 6[tex]\sqrt{3}[/tex] , then
d₂ = 2 × 6[tex]\sqrt{3}[/tex] = 12[tex]\sqrt{3}[/tex]
Thus
A = [tex]\frac{1}{2}[/tex] × 12 × 12[tex]\sqrt{3}[/tex] = 6 × 12[tex]\sqrt{3}[/tex] = 72[tex]\sqrt{3}[/tex]
Concession stand sales for each game in season are $320, $540, $230, $450, $280, and $580. What is the mean sales per game? Explain how you got your answer.
Answer:
$400
Step-by-step explanation:
all you do is add 320+540+230+450+280+580/6 and the asnwe comes out to 400
PLEASE HELP HARD FOR ME BUT EASY FOR OTHERS
Plz help will mark brainliest if right
Answer:
Domain:{-9,-4}
Range:{-1,-8,6}
Step-by-step explanation:
I dont really understand what you're trying to ask, it seems like you already have the answer i got.
50 points
The frequency table below shows the length of selected movies shown in a local
theater over the past six months.
Answer:
Lol its in total of 34
Step-by-step explanation:
Question 6 options:
The diameter of a circle is 35.7 yards. The circle's circumference is about ___ yards.
Use 3.14 for .
Answer:
C = 112.098yds
Step-by-step explanation:
Where finding the circumference so do pi times diameter.
C = 3.14×d
C = 3.14×35.7
C = 112.098yds
Paper lanterns are $3.50 each. Write
a direct proportion equation using p
for paper lanterns and c for total
cost.
A. 3.50c = p
B. 3.5pc
C. 3.50 + p = C
D. 3.50p = 0
Answer:
it's probably C
Step-by-step explanation:
️♀️
Given the figure below, find the values of x and z.
Answer:
x = 12
z = 101
Step-by-step explanation:
Hello There!
First lets find z
Well the angle that has a measure of 79 degrees and angle z are supplementary angles meaning that the sum of the two is 180
So we can find the missing angle by subtract the given angle (79 in this case) from 180
180 - 79 = 101 so z = 101
Now lets find x
The angle that has a measure of 79 degrees and the angle labeled (6x+7) are vertical angles
If you didn't know vertical angles are congruent
That being said lets create an equation to solve for x
79 = 6x + 7
now we solve for x
step 1 subtract 7 from each side by
7 - 7 cancels out
79 - 7 = 72
now we have 72 = 6x
step 2 divide each side by 6
72/6=12
6x/6=x
we're left with x = 12
What is the volume of this cylinder?
6 m
7 m
Round your answer to the nearest tenth.
Answer:
(Refer below:)
Step-by-step explanation:
Because there is no image, here's what I'm going to assume: there are multiple scenarios. Refer to each one below:
1) Where r = 6 and h = 7:
V = Bh
V = (π r²) (h)
V = (6² π) (7)
V = 36π (7)
V = 252π
2) Where r = 7 and h = 6:
V = Bh
V = (π r²) (h)
V = (7² π) (6)
V = 49π (6)
V = 294π
3) Where d = 6 and h = 7:
d = 2r = 6
r = 3
V = Bh
V = (π r²) (h)
V = (3² π) (7)
V = 9π (7)
V = 63π
4) Where d = 7 and h = 6:
d = 2r = 7
r = 3.5
V = Bh
V = (π r²) (h)
V = (3.5² π) (7)
V = 12.25π (7)
V = 87.75π ≈ 269.39
Stonewall receives ¢250 per year in simple interest from an amount of money he invested in
ADB, Barclays and GCB. Suppose ADB pays an interest of 2%, Barclays pays an interest of
4% and GCB pays an interest of 5% per annum and an amount of ¢350 more was invested in
Barclays than the amount invested in ADB and GCB combined. Also, the amount invested in
Barclays is 2 times the amount invested in GCB.
a) Write down the three linear equations and represent them in the matrix form AX = B.
b) Find the amount of money Stonewall invested in ADB, Barclays and GCB using Matrix
Inversion
Answer:
The amount invested in ADB is ¢1363.[tex]\overline 3[/tex] =
The amount invested in Barclays is ¢3,427.[tex]\overline 3[/tex]
The amount invested in GCB is ¢1,713.[tex]\overline 3[/tex]
Step-by-step explanation:
The parameters of the investment Stonewall made are;
The amount in interest he receives from ADB, Barclays and GCB = ¢250
The amount of interest ADP pays = 2% per annum
The amount of interest Barclays pays = 4% per annum
The amount of interest GCB pays = 5% per annum
The amount invested in Barclays = The amount invested in ADB and GCB + ¢350
The amount invested in Barclays = 2 × The amount invested in GCB
a) Let 'x', represent the amount invested in ADB, 'y' represent the amount invested in Barclays, and 'z', represent the amount invested in GCB
We have;
y = x + z + 350
y = 2·z
0.02·x + 0.04·y + 0.05·z = 250
Therefore, we get the three linear equations as follows;
-x + y - z = 350...(1)
y - 2·z = 0...(2)
0.02·x + 0.04·y + 0.05·z = 250...(3)
Using Matrix inversion, we have;
[tex]\left[\begin{array}{ccc}-1&1&-1\\0&1&-2\\0.02&0.04&0.05\end{array}\right] \times \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}350&0&250\end{array}\right][/tex]
The transpose of the 3 by 3 matrix [tex]M^T[/tex] is given as follows;
[tex]M^T = \left[\begin{array}{ccc}-1&0&0.02\\1&1&0.04\\-1&-2&0.05\end{array}\right][/tex]
The Adjugate Matrix is given as follows;
[tex]Adj = \left[\begin{array}{ccc}0.13&-0.09&-1\\-0.04&-0.03&-2\\-0.02&0.06&-1\end{array}\right][/tex]
The inverse of the matrix = Adj/Det where, Det = -0.15, is therefore;
[tex]M^{-1} = \left[\begin{array}{ccc}\dfrac{-13}{15} &\dfrac{3}{5} &\dfrac{20}{3} \\\\\dfrac{4}{15} &\dfrac{1}{5} &\dfrac{40}{3} \\\\\dfrac{2}{15} &-\dfrac{2}{5} &\dfrac{20}{3} \end{array}\right][/tex]
We therefore, get the solution as follows;
[tex]\left[\begin{array}{ccc}\dfrac{-13}{15} &\dfrac{3}{5} &\dfrac{20}{3} \\\\\dfrac{4}{15} &\dfrac{1}{5} &\dfrac{40}{3} \\\\\dfrac{2}{15} &-\dfrac{2}{5} &\dfrac{20}{3} \end{array}\right]\times \left[\begin{array}{c}350&0&250\end{array}\right] = \left[\begin{array}{c}\dfrac{4,090}{3} \\&\dfrac{10,280}{3} \\ & \dfrac{5,140}{3} \end{array}\right][/tex]
[tex]\begin{array}{c}x = \dfrac{4,090}{3} \\&y = \dfrac{10,280}{3} \\ & z = \dfrac{5,140}{3} \end{array}[/tex]
The amount invested in ADB, x = ¢4,090/3 = ¢1363.[tex]\overline 3[/tex]
The amount invested in Barclays, y = ¢10,282/3 = ¢3,427.[tex]\overline 3[/tex]
The amount invested in GCB, z = ¢5,140/3 = ¢1,713.[tex]\overline 3[/tex]
can someone dooo ittttttttt
Answer:
i dont know
Step-by-step explanation:
Please answer this onee :C
Answer:
1
Step-by-step explanation:
Answer:
A) 1
Step-by-step explanation:
The number 1 was spun the fewest times. We know this because there is only one x above the 1, suggesting it wa spun the fewest times.
Hope it helps!!!
If a test is worth 90 points and I got 12/15 questions right then what would my grade be?
Answer: 80
Step-by-step explanation:
How many significant figures will there be in the answer to the following problem? You do not have to solve the problem. 3.4 • 17.05 =
Answer:
3.4 × 17.015 = 58
Step-by-step explanation:
3.4 → two non-zero digits = two sig figs
17.05 → four non-zero digits = four sig figs
- hope this helps!
Solve: |2x − 1| < 11.
Express the solution in set-builder notation.
{x|5 < x < 6}
{x|–5 < x < 6}
{x|x < 6}
{x|–6 < x < 6}
Answer:
the second one is the answer
Step-by-step explanation:
hope that helps
Answer:
B; {x|–5 < x < 6}
Step-by-step explanation:
*
4. HINT: Remember the "square" means 90 degrees
25 points
The circle with center O has a circumference of 36 units. What is
the length of minor arc AC?
A. 9 units
B. 12 units
C. 18 units
D. 36 units
Find the missing side of this right triangle 8 13
Answer: x = √105
Step-by-step explanation:
a² + b² = c²
8² + x² = 13²
64 + x² = 169
x² = 105
x = √105
If Thomas maintains a rate of 20 miles per hour riding his bicycle in a rally that covers 24 miles, how long will it take him to complete the race?
O 2 hours
O 1.2 hours
O 0.8 hours
O 2.4 hours
Answer:
1h=20m
60/4
0,25min+1h
1+0,25
=1,2
He will complete the race in 1.2 hours time.
Hence, option B is correct.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that,
The distance completing in 1 hour = 20 miles
So 1 miles of distance is covered in = 1/20 hours
It is also given that,
The distance of rally = 24 miles.
Therefore,
The time taken to cover 24 miles = 24/20
= 1.2
Thus,
The required time = 1.2 hours
to learn more about the measurement unit visit:
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Why didn't some materials Sink in water and some others didn't?
Answer: Materials sink in water depending on how heavy they are. It is about how heavy something is compared to the same amount (volume) of water. This ratio of an object’s mass to its volume is known as density. Density is what really determines whether something will sink or float.
Hi guys this isn’t about math but it needs to be said if you get a comment answering your question telling you a link they have has the answers DO NOT PRESS IT! Those people are either sex traffickers and trying to get your IP address or trying to get your personal information. Stay safe
Step-by-step explanation:
Dang, that's crazy! Thanks for letting us know! People be warned!
Answer:
FR
Step-by-step explanation:
don’t interact just report ☝️
a) 5x-12=2x-3
b) 8x+2=5x+8
c) 7x-5=4x-2
please
What's the question?
What are we supposed to do?