The conversion from degree to radian will be 180° = π radian. Then the measure of angle 75° is 1.31 radians.
What is conversion?Conversion means to convert the same thing into different units.
Convert the degree measure to the radian measure.
⇒ 75°
We know the conversion is given as
180° = π radian
1° = π/180°
Then we have
75° = 75° x π/180° radian
75° = 1.30899 radian
75° ≅ 1.31 radian
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Select the correct answer from each drop-down menu.
Alice is playing checkers against a computer and has won 8 games out of the 12 she's played so far.
Alice must win the next ✓consecutive games to reach a winning percentage of 80%. After that, losing
will bring her winning percentage down to 50%.
consecutive games
She must win the next 8 consecutive games to get 80% and after that loose the next 12 games to get to 50%.
How to find the probability of winning?
She has won 8 out of 12 days. Thus, percentage of winning is;
P(winning) = 8/12 * 100%
P(Winning) = 75%
To arrive at 80% winning, it means that the number of extra consecutive games she must win is;
(8 + x)/(12 + x) = 80/100
10(8 + x) = 8(12 + x)
80 + 10x = 96 + 8x
2x = 16
x = 8
Thus, she must win the next 8 consecutive games to get 80%.
For her to get to 50% after that, it means that;
(16 - x)/(20 - x) = 50/100
(16 - x)/(20 - x) = 1/2
2(16 - x) = 20 - x
32 - 2x = 20 - x
x = 12
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Of the following fractions: 1/4, 7/9, 7/12, and 9/16, which is the largest?
Answer:
1/4, 7/8, 7/12, 9/16
LCM of 4,8,12,16 = 48
1/4= 1×12/4×12= 12/48
7/8= 7×6/8×6= 42/48
7/12= 7×4/12×4= 28/48
9/16= 9×3/16×3= 27/48
hence, 7/8 is the largest fraction. I hope it helps ya!!
The largest fraction is 7/8.
What is Least Common Multiple?Least Common Multiple is defined as the smallest number that is a multiple of two or more numbers.
Given fractions,
1/4, 7/8, 7/12, 9/16
LCM of 4,8,12,16 = 48
1/4= 1×12/4×12= 12/48
7/8= 7×6/8×6= 42/48
7/12= 7×4/12×4= 28/48
9/16= 9×3/16×3= 27/48
Since the largest will be the fraction
NUMERATOR > DENOMINATOR
Hence, the largest fraction is 7/8.
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The brick will be painted. Which measure will help the painter know how much paint to buy?
Step-by-step explanation:
B) Surface Area
C) Volume
If f(x) = x + 1 and g(x) = 2x – 7, which expression is equivalent to [f o g](3)? (3 + 1)(2(3) –7) 2(3)2 – 6 2(3 + 1) – 7 (2(3) – 7) + 1
Answer:
Solution
-1
f
x=
1
-X+
2
Step-by-step explanation:
f(x=2x-7
Solving Steps
y=2x-7
Interchange the variables
x=2y-7
Swap the sides
2y-7=X
Move the constant to the right
2y=X+7
Divide both sides
1
y=
>+*.
7
2
Solution
-1
f
x=
1
-X+
2
Fabian mixes orange juice with 4 cans of pineapple juice to make punch. Each can of pineapple juice holds 2 liters. He makes a total of 19 liters of punch.
How many liters of orange juice did Fabian use to make the punch?
A.
9 L
B.
11 L
C.
13 L
D.
15 L
Step-by-step explanation:
Total= 19
Each holds 2 litres .
So it means, 19 -4= 15
You need 15 litres of oranges.
For a computer company, the cost to produce one PC is $1410 plus a one-time cost of $125,000 for research and development. The revenue from selling one PC is $1984. How many PCs must they sell to make a profit?
53 POINTS. Which expression gives the distance between the points (7, -2) and (3, -1)?
A.√4² +3²
B.√4² +1²
C. 10² +3²
D.√10² + 1²
the formula for distance between points is:
Distance = sqrt((x2-x1)^2 + (y2-y1)^2)
Using the points given:
Sqrt((3-7)^2 + (-1 - -2)^2)
Sqrt(-4^2 + 1^2)
None of the answer have a -4 but I think it should be B. Since it is the closest. Did you forget a negative sign when typing??
answer B.
Using horizontal strip, determine the area of the region bounded by curves x² + 4y - 8 = 0 and x =
2y
The Area of the region bounded by curves = 9 sq.units.
What is Area ?Area is the space occupied by a two dimensional figure on a two dimensional space coordinate.
The two curves given are
x² + 4y - 8 = 0 and x =2y
Convert the two equation so ‘x’ is the dependent variable.
y = -(1/4) x² +2 and y = (1/2)x
Find the limit by the intersection point of both the graph
so (-4, 2) and (2, 1)
The x-values of the line are greater so subtract the parabola:
A = ∫ (1/2)x - (-(1/4) x² +2 ) in the limits of (-4 and 1)
The Area = 9 sq.units.
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a. The velocity, v, of an object is moving in a medium at time t is given by
t = √ 30² +50+2 du. Evaluate t.
+
The value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.
Velocity of the object moving in the medium
The velocity of the object moving in the medium is given as;
t = ∫(3u² + 5u + 2)du
the value of t is obtained by integrating the function as follows;
t = (3u³)/3 + (5u²)/2 + 2u
t = u³ + 2.5u² + 2u
Thus, the value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.
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For the following trapezoid, h = 5 ft, b = 7.9 ft, and B = 14.6 ft. What is the area?
Answer:
The area of the trapezoid is 56.25² feet.
Step-by-step explanation:
The formula for the area of a trapezoid is [tex]A=\frac{b+B}{2} h[/tex]
A = area (of the trapezoid)b = base of the trapezoidB = (other) base of the trapezoidh = height of the trapezoid*Note: Trapezoids have 2 bases that are parallel to one another, but are not always the same length.
Using the information given to us, we can simply plug in numbers into the equation. By doing so, we'd get [tex]A=\frac{7.9+14.6}{2} 5[/tex]. By plugging this into a calculator, you'd get [tex]A=56.25[/tex].
x+14/x=-9
Help please and if possible could someone be so kind as to make a step by step please
Answer:
X = 1.4
Step-by-step explanation:
x + 14/x = -9
x + 14 = -9x
x + 9x = -14
10x = -14
X = -14/10
X = -1.4
solve u^2 = -4, where u is a real number. Simplify your answer as much as possible.
will mark brainliest if correct
Answer:
2i and -2i
Step-by-step explanation:
I'll change u to x to be easier to understand.
x^2 = -4
sqrt(x^2) = sqrt(-4)
sqrt(-4) = 2i, or -2i
I NEED HELP NOWWWW PLSSS
From this data, how many male, female, adult, and baby moose do you predict are in the park?
Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28
The data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively.
What is data?It should be noted that data simply means the facts and statistics that are given which are used for analysis.
In this case, the data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively. This can be seen from the information in the table.
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Phyllis invested 800 dollars into two different accounts, a portion earning a yearly interest rate of
4
percent per year compounded monthly and the rest earning a rate of
6
percent per year compounded quarterly
After 12 years the investments were worth $1579.05. How much money did she invest at each rate
The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.
Calculation of the total capital investedThe time the investment lasted= 12 years.
Simple interest = 1579.05 - 800= $779.05
The principal capital= $800
Rate of the both capital invested;
= SI × 100/P ×T
= 779.05 × 100/800 × 12
= 77,905/9600
= 8.11%
To find the amount of money that Phyllis invested at each given rate,
Rate 1 = 4/8.11× 800
= 3200/8.11
= $394.57
Rate 2 = 6/8.11× 800
= 4800/8.11
= $591.86
The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.
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Please show how you solved
Answer:
x = 7 degrees
Step-by-step explanation:
The unlabelled angle at M PLUS 12x + 24 = 180
then the unlabelled interior angle is 180 - (12x+24)
The sum of the interior angles then = 180
80 + 4x + 180-(12x+24) = 180
236 -8x = 180
x = 7
only answer if you know (no guesses) no spams! :)
Answer:
3/4
Step-by-step explanation:
I actually took this quiz a day ago!
2x-y=3, x=-2y-2 solve for substitution
Answer:
-1.25
Step-by-step explanation:
2x - 7 = 3
x = -2y - 2
3 + 7 = 2x
x = 5
5 = -2y - 2
5 = -4y
5 = -4 times y
-
4 GET EVE ⠀ Directions:
Answer:
not a solution.. simple not needed to explain too
if the absolute terms in the expansion of (x2+k )12 is 495 find the value of k
x
Answer:
if the absolute terms in the expansion of (x2+k )12 is 495 find the value of k
x
Step-by-step explanation:
Identify some exterior angles in the figure. Select the two correct answers.
O c
O e
O a
O d
O b
TYPES OF CARS WORKED ON German cars 25% Other 10% American 50% Japanese 15% These are the types of cars worked on in the auto service.
6) What is the probability that the next car worked on will be Japanese or German?
7) If the mechanics work on 6,000 cars next year, how many cars would probably be Japanese?
I really would appreciate help on this! Thank you
Answer:
6) 40%7) 900 carsStep-by-step explanation:
German 25%
Other 10%
American 50%
Japanese 15%
……………………………………………
6) the probability that the next car worked on
will be Japanese or German :
p(J∪G) = p(J) + p(G) = 15% + 25% = 40%.
…………………………………………………………
7) the probable number of Japanese cars :
[tex]6000\times \frac{15}{100} = 900[/tex]
Please help me! Thanks.
Answer: Answer:
The perimeter of the polygon are
PQ = 5
RS = 5
PR = √74 = 8.60
QS = √74 = 8.60
QR = 7
Step-by-step explanation:
To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula
d = √(x _2 - x_1)^2 + (y_2 - y_1)^2
Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = 4
PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2
= √ 5^2 + 0^2
= √ 25
= 5
Between R( 5 , -3) and S ( 0 , -3)
x_1 = 5
y_1 = -3
x_2 = 0
y_2 = -3
RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2
= √( -5)^2 + ( -3 + 3)^2
= √ 25 + 0
= √ 25
= 5
Between P( 0 , 4) and R (5 , -3)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = -3
PR = √( 5 - 0)^2 + ( -3 - 4)^2
= √ 5^2 + (-7)^2
= √ 25 + 49
= √ 74
= 8.60
Between Q ( 5 , 4) and S(0 ,-3)
x_1 = 5
y_1 = 4
x_2 = 0
y_2 = -3
QS = √ ( 0 - 5)^2 + ( -3 - 4)^2
= √ -5^2 + -7^2
= √ 25 + 49
= √ 74
= 8.60
Between Q( 5,4) and R(5 , -3)
x_1 = 5
y_1 = 4
x_2 = 5
y_2 = -3
QR = √ (5 - 5)^2 + ( -3 - 4)^2
= √ 0^2 + (-7)^2
= √ 0 + 49
= √ 49
= 7
Step-by-step explanation:
Find the distance between the points (-20,6) and (-20,-14)
Answer:
20.00 units
Step-by-step explanation:
The distance between two points with coordinates
(-20,6) and (-20,-14) is:
20.00 units
(results are in decimal form, rounded to the nearest 100th)
GIVEN F(x) = 4/x , FIND THE FOLLOWING VALUES.
1. x= 0
2. x= 2
3. x= 1
4. x = 2x
Which number is the largest 1.2 x 10^4, 4.5 x 10^-3,3.8x10^3,7.5^3
1.2x10^4
Step-by-step explanation:
2.
negative exponent means it's a fraction so
4.5x10^-3 is 1/4500 or 0.0045 so
it's a very small number
1.
^4 means means move the decimal 4 spots
12×10^4 = 12,000
3.
^3 means move the decimal 3 spots
3.8 x 10^3 =
3800
4.
7.5x10^3 =
7500
The equation of this circle is (x +
)2 + (y +
)2 =
.
Answer:
x2 + y2 = r2, and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2.
I think this is the answer.
6230000 in standard form
Answer:
6.23*10^6
Step-by-step explanation:
in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so
1) write the first number and add a decimal point(.) and copy down the numbers behind the first number (DO NOT WRITE 0):
6.23
2) check how many numbers are they behind the first number
6230000
~~~~~~
in here, it's 6numbers, so 10^6
3) all in all, your answer is
6.23*10^6
(2x4 +7) + (5x4 - 4)
simpfly
Step-by-step explanation:
(2x4 +7) + (5x4 - 4)
=(8+7) + (20-4)
=15+16
= 31
Hope it helps
Answer: Heyaa! ~
Your Answer is... 31!
Step-by-step explanation:
(2x4 +7) + (5x4 - 4) = 31/ 7x⁴+3
Hopefully this helps you ! ^^
What is the solution to the system of equations graphed below?
realmente no lo se bro per necesito completar este paso
pls help it’s the last day of school
Answer:
12.56ftcube
Step-by-step explanation:
if V=(3.14×1^2)×4= 3.14 ×4=12.56