Answer:
[tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
Step-by-step explanation:
Using the difference formula for cosine and the exact values
cos45° = sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex], sin30° = [tex]\frac{1}{2}[/tex]
cos(a - b) = cosacosb + sinasinb
Note 15° = 45° - 30°, thus
cos15°
= cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
= ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )
= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
Answer:
[tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]
Step-by-step explanation:
Find the area of the parallelogram. *
Captionless Image
28.12 sq cm
3.9 sq cm
11.3 sq cm
56.24 sq cm
None of the above
Answer:
28.12 cm^2
Step-by-step explanation:
I don't know what "length" and "bottom" mean as dimensions in a parallelogram, but if they are a side length and an altitude drawn to that side, then the area is 7.6 cm * 3.7 cm = 28.12 cm^2.
What is 60% of 52? (SHOW WORK)
Answer:
31.2
Step-by-step explanation:
To work out 60% of 52 you would first need to find 10%. You can do this by dividing 52 by 10, this gives you 5.2.
The final step is to multiply 5.2 by 6, this gives 31.2. This is because in order work out 60% you multiply 10% by 6.
1) Divide 52 by 10.
[tex]52/10=5.2[/tex]
2) Multiply 5.2 by 6.
[tex]5.2*6=31.2[/tex]
is this correct? please answer
Answer:
Yes, letter D is correct.
Step-by-step explanation:
The shape is a trapezoid so you'll have two congruent pairs of base angles.
What is the volume of the can below? Use = 3.14 and round your answer to the nearest tenth.
66 mm
96 mm
cubic millimeters
The volume of the can is 328, 268. 16 mm³.
What is Volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
We have,
Radius = 66/ 2= 33 mm
Height= 96 mm
So, volume of Can
= πr²h
= 3.14 x 33² x 96
= 3.14 x 1,089 x 96
= 328, 268. 16 mm³
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2x2x2x2x2x2x2x2x2x2=?
Answer:
1024
Step-by-step explanation:
calculators are good resources when its math
what is the value of x (12x+2)
Answer:
12x^2 +2x
Step-by-step explanation:
x* (12x+2)
Distribute
12x*x +2*x
12x^2 +2x
You’ll get a easy 15 points for answering this
Answer:
$50.73Step-by-step explanation:
NOTE:__________________________________________
applying a sales tax of 8% on an item means multiplying its original price by (1+8%).__________________________________________
The needed amount of money:
29.99×(1+8%)+16.99×(1+8%)
= 29.99×(1+(8÷100))+16.99×(1+(8÷100))
= 50.7384
:)
An electronic company has 450 employees. The company plans to increase its staff by 30%. How many new employees will the company hire?
Answer:
135 new employees, 585 total employees
Step-by-step explanation:
Find 30% of 450.
(you can use any variables)
a = p*w
a = .30*450
a = 135
The company will hire 135 new employees, which would be (450 + 135) 585 total employees.
hope this helps :)
135 new employees should be hired by company to increase 30% of the employees.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The number of employees in electronic company is 450.
The company plans to increase its staff by 30%
We need to find the number of employees to be hired by company.
30% of 450
Thirty percentage of four hundred fifty.
Convert 30% to decimal value by dividing with 100.
30/100=0.3
Now multiply 0.3 with 450
0.3×450
One hundred thirty five.
135
Hence, 135 new employees should be hired by company to increase 30% of the employees.
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How do I solve for e?
9e+4=-5e+14+13e
Answer: e = 10
Step-by-step explanation: 9e + 4 = -5e + 14 + 13 e
Now lets bring the variables and numbers on a different side
Remember that when the numbers go to the other side the sign changes
so 4 - 14 = -9e + 13e -5e
-10 = -e
10 = e
if plug in both equations on a graph then you will see that when e = 10 the lines meet at 94.
Answer:
[tex]e=10[/tex]
Step-by-step explanation:
[tex]9e+4=-5e+14+13e[/tex]
Simplify both sides by combining [tex]-5e+13e[/tex] :
[tex]9e+4=8e+14[/tex]
Isolate the variable e. Subtract 8e from both sides:
[tex]9e-8e+4=8e-8e+14\\\\e+4=14[/tex]
Subtract 4 from both sides:
[tex]e+4-4=14-4\\\\e=10[/tex]
:Done
Two sides of the triangle that form a 90 degree angle are called the
Answer:
The two sides of the triangle that are by the right angle are called the legs
Step-by-step explanation:
Answer:
Step-by-step explanation:
The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse
What is the LCM of 30 and 35?
Answer: 210
Explanation: To find the least common multiple for the integers 30 and 35, we start by making a factor tree for each of our integers.
So 30 is 10 · 3 and 10 is 5 · 2.
35 is 7 · 5.
Notice that our 5's match up as factors of each of our integers.
When finding the least common multiple, we simply multiply all of our factors together but since the 5's match up,
we only multiply by a 5 once.
So our least common multiple or LCM is
5 · the 2 that doesn't match up · the 3 that
doesn't match up · the 7 that doesn't match up.
So we have 5 · 2 · 3 · 7 or 210.
Work is shown below.
Which line has the greatest rate of change? A line passing through (-1, 4) and (1, 7). A line passing through (1, 3) and (5, 11). A line passing through (1, 1) and (4, -3). A line passing through (0, 6) and (12, 9). please help!!
Answer:
A line passing through (1, 3) and (5, 11)
Rate of change = 2
Step-by-step explanation:
Rate of change = change in y / change in xr = Δy/ΔxLet's get the rate of change for each line:
A line passing through (-1, 4) and (1, 7).
r = (7 - 4) / (1 -(-1)) = 3/2A line passing through (1, 3) and (5, 11).
r = (11 - 3) / (5 - 1) = 8/4 = 2A line passing through (1, 1) and (4, -3).
r = (- 3 - 1) / (4 - 1) = -4/3A line passing through (0, 6) and (12, 9)
r = (9 - 6) / (12 - 0) = 3/12 = 1/4Comparing the values of r, we can see the greatest one is 2 for the line passing through (1, 3) and (5, 11)
Factor each trinomial
y2 +13y+40
a
(y+8)(y+5)
(y+20)(y+2)
(y-8)(y-5)
(y-20)(y-2)
The length of the garden is 11 yards.The width of the garden is 8 yards. Select all of the expressions that chole could use to find the length of the fencing she will need
Answer:
The length of the fence is 38 yards
These are the expressions
1. Perimeter = 2l+ 2w
2. Perimeter = 2(l+w)
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, a rectangle.
The length of the fence is the perimeter of the garden which is the expression that Chole could use
1. Perimeter = 2l+ 2w
2. Perimeter = 2(l+w)
Given data
Length = 11 yards
Width = 8 yards
Perimeter = 2(11)+ 2(8)
Perimeter = 22+16
Perimeter = 38 yards
A parallelogram has an area of x2+ 9x− 36.
a.What are expressions for the length and width of the parallelogram?
b.If x is an integer, what is the least possible value of x for a parallelogram to exist? Explain.
Answer:
a) Length [tex]x + 12[/tex], Width [tex]x - 3[/tex], b) [tex]x = 3[/tex]
Step-by-step explanation:
a) The expressions for the length and width of the parallelogram can be determined by factorizing the polynomial:
[tex]A = x^{2} + 9\cdot x - 36[/tex]
[tex]A = (x+12)\cdot (x-3)[/tex]
Length
[tex]x + 12[/tex]
Width
[tex]x - 3[/tex]
b) Since area is a positive variable, the set of solutions encompass all values of x such that area is zero o greater. Then, there are two interval where A is positive:
- When both binomials are negative.
[tex]x \leq 3[/tex] and [tex]x \leq -12[/tex]
[tex]x \leq -12[/tex]
- When both binomials are positive.
[tex]x \geq 3[/tex] and [tex]x \geq -12[/tex]
[tex]x \geq 3[/tex]
Since x is an integer, x must be positive and therefore the least possible value of x is:
[tex]x = 3[/tex]
what is the value of x
Answer:X. The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
Please help me now plz
I will mark you brainliest
Answer:
1229 km
Step-by-step explanation:
The missing angle is ...
180° -60° -75° = 45°
Knowing that, the Law of Sines can be used to find the side opposite the 75° angle.
?/sin(75°) = 900 km/sin(45°)
? = (900 km)sin(75°)/sin(45°) ≈ 1229.423 km
The UFO is about 1229 km from KA-12.
A)125
B)130
C)120
D)135
Answer:
The answer is B.
Step-by-step explanation:
Pentagons have a sum of 540°
540 - (115 + 115 + 90 + 90)
540 - 410
130
Answer:
B)130
Step-by-step explanation:
115+115+90+90=410
pentagon angles add up to 540
410+130=540 degrees
A student has a one-dollar bill, a five-dollar bill, and a ten-dollar bill in a box. The student selects a bill from the box 45 times and selects the ten dash dollar bill 28 times. What formula should be used to calculate the experimental probability? What is the experimental probability of selecting the ten dash dollar bill? What is the theoretical probability of selecting the ten dash dollar bill?
Answer:
r / n
62.2%
33.3%
Step-by-step explanation:
The formula to be used is to divide the number of times that it came out by the total number of times the event was repeated because this was the experiment that was carried out, therefore this would be the experimental formula:
r / n
r = specific event (that the 10 dollar bill comes out)
n = total events
To calculate, we know the previous values r = 28 and n = 45, we replace:
28/45 = 0.622
that is, 62.2% is the experimental probability.
To calculate the theoretical propagation, we know that there are 3 types of banknotes and we want 1 of those 3 types to appear, therefore:
1/3 = 0.333
Ie 33.3% is the theoretical probability
Mr. Jones buy 6 packages of pencils. There are 8 pencils in each package. How many pencils does Mr. Jones buy?
Answer:
Mr. Jones buys 48 Pencils.
Step-by-step explanation:
6x8=48
Step-by-step explanation:
48 pencils.
If there is 6 packages of pencils, and there is 8 pencils in each, then you multiply 6 x 8 to get 48 pencils.
I hope this helped.
i'll give you the brainliest thingy if you'll help me
Answer:
[tex]\large \boxed{\text{1. B. $T_{{<6, -2>}}(QRST)$; 2. D. A$'$ (3,9), B$'$(4,0), C$'$(5,5)}}[/tex]
Step-by-step explanation:
1. Translation of Quadrilateral
A translation rule tells you how much to add to the values of x and y.
In your translation, the value of x increases from -5 to +1 — a distance of 6 units.
The value of y decreases from +4 to +2 — a distance of 2 units.
[tex]\text{The translation rule is $\large \boxed{\mathbf{T_\mathbf{{<6, -2>}}(QRST)}}$}[/tex]
2. Translation of triangle
The rule tells you to translate the triangle two units to the left and three units up, as in the second figure below.
A(5,6) ⟶ A'(3,9)
B(6,-3) ⟶ B'(4,0)
C(7,2) ⟶ C'(5,5)
The coordinates of the vertices of ∆A'B'C' are A'(3,9), B'(4,0), C'(5,5).
Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.
Triangle A B C has angle measures 50 degrees, 40 degrees, and 90 degrees.
Triangle A B C has angle measures 45 degrees, 45 degrees, 90 degrees. The lengths of sides A C and C B are congruent.
Triangle A B C has angle measures 68 degrees, 22 degrees, and 90 degrees.
Triangle A B C has angle measures 60 degrees, 30 degrees, and 90 degrees.
Answer:
Step-by-step explanation:
Given that, a series of triangle,
For the sine and cosine to be equal, then,
Sinθ = Cosθ
From, trigonometry identities
Sinθ = Cos(90-θ)
Then,
θ = 90-θ
θ + θ = 90
2θ = 90
θ = 90 / 2
θ = 45°
From the triangle given, using trigonometry ratio,
Sinθ = opposite / hypotenuse.
Sinθ = 20 / 25
Sinθ = 0.8
θ = arcsin(0.8)
θ = 53.13°
The other angles at the triangle is
90-53.13 = 36.87°.
Answer:
b
Step-by-step explanation:
I NEED HELP NOW!!!!!! Kelly is 6 times as old as Michael and 13 years older than Lucy. The sum of their ages is 91.
How old is each person?
Answer:
Kelly: 48
Michael: 8
Lucy: 35
What is the equation of the graph below?
Answer:
y = sin(x+90)
Step-by-step explanation:
The shape of the graph shown is a y = cos x graph
Since that is not an option, we know that it must be translated somewhat
Sin x and cos x graphs are the exact same in shape, but differ by 90°
Y = sin (x+90) is the same as a Y = cos x graph, so Y = sin(x+90) is our answer
Answer:A
Step-by-step explanation:
I did it rn
If you flip a coin and roll a 666-sided die, what is the probability that you will flip a heads and roll a 555?
Answer:
Assuming that the die has sides that are equal and that the sides are numbered 1 to 666 (since there are 666 sides), then the probability of rolling a 555 and flip a heads is 1/1,332.
Step-by-step explanation:
Probability of flipping a heads: 1/2
Probability of rolling a 555: 1/666
Multiply the two probabilities to get your probability for rolling both.
1/2 times 1/665 is 1/1,332.
Answer:
1/12
Step-by-step explanation:
A boy holding a stack of 9 identical books steps on a scale and weighs 138 pounds. The boy then holding a stack of 3 of the same books again steps on the scale and weighs 120 pounds. How much does the boy weigh?
Answer:
111 pounds
Step-by-step explanation:
A boy holding a stack of 9 identical books steps on a scale and weighs 138 pounds.
If the boy's weight is represented as B and the books are represented as b, this implies that:
B + 9b = 138
The boy then holding a stack of 3 of the same books again steps on the scale and weighs 120 pounds. This implies that:
B + 3b = 120
This has yielded two simultaneous equations:
B + 9b = 138
B + 3b = 120
We can solve by subtracting the second from the first.
B + 9b = 138
- (B + 3b = 120)
-----------------------
=> 6b = 18
b = 18 / 6 = 3 pounds
This means that each book weighs 3 pounds.
Putting b back in the second equation:
B + (3 * 3) = 120
B + 9 = 120
B = 120 - 9
B = 111 pounds
Therefore, the boy weighs 111 pounds.
Answer:
The boy would weigh 111 lbs.
Explanation:
Its complicated
which graph shows the solution to the following inequality. -5c+2<27
Step-by-step explanation:
Step 1: Subtract 2 from both sides
[tex]-5c + 2 - 2 < 27 -2[/tex]
[tex]-5x < 25[/tex]
Step 2: Divide both sides by -5
[tex]-5x / -5 < 25 / -5[/tex]
[tex]x > -5[/tex]
Answer: [tex]x > -5[/tex]
Answer:
c > -5
Step-by-step explanation:
-5c+2<27
-5c < 25
Switch sides
-25 < 5c
-5 < c
c > -5
someone solve this please
They're same side interior angles because since it's a parallelogram, the lines are parallel, and in this case, AB and CD are the parallel lines, AD is the transversal, and therefore, x and 115 are same side interior.
Same side interior angles are supplementary so x + 115 = 180
x = 180 - 115 = 65
65 degreesFill in the blank: 8 feet = __________ inches
Answer:
96
Can I have brainliest
Step-by-step explanation:
Answer:if they are 12 inches on a feet the equation will be 12x8=is 96
so they are 96 inches on 8 feet
yo someone please do this for me
Answer:
20
Step-by-step explanation:
160+160= 320
320-360=40
40/2=20
Answer:
∠URS = 20°
Step-by-step explanation:
Angle URS is supplementary to angle TUR because they are consecutive angles.