use sine law. x = 16.3cm
Step-by-step explanation:
Since triangle angles add up to 180 deg
angle F = 180 -87 -40 = 53
side EF/ sin (angle G) = side EG / sin (angle F )
EF / sin(87) = 13 / sin(53)
EF = 13/sin(53) × sin(87)
EF = 16.3cm
Paloma eats 2/3
of an apple in the morning and 3/8 more in the afternoon. How
much of the apple did she eat in total?
Answer:
25/24 or 1 and 1/24
Step-by-step explanation:
2/3 + 3/8 = 16/24 + 9/24 = 25/24 or 1 1/24
What would be 57.99461679 rounded to the nearest whole number ?
Answer:
58
Step-by-step explanation:
58
boom. done.
more than .5 is round up
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51. Find the probability that in a sample of 10 customers, fewer than 8 will order a nonalcoholic beverage.
Answer:
1-0.7584=0.2416
Step-by-step explanation:
The probability nobody will order a non-A beverage is .56^8=0.0097
all 8 will order a non-A beverage is 0.44^8=0.0014
fewer than 6:
look at 6,7,8
Those add to 0.0794 and the answer is 1- that or 0.9206. Also 2nd VARS (.44,8,5)
b. at least 5 is 5,6,7,8
that is 1-P(0-4)
=1-0.7584=0.2416
Faye has $5,000 that she is going to deposit into two accounts as shown:
Account Deposit Interest Type Interest Rate
#1 $2,000 Simple 5%
#2 $3,000 Compound 4%
Assuming that Faye does not make any additional deposits or withdrawals, find the combined amount of her two accounts after 15 years.
$15,902.83
$3,902.83
$8,902.83
$6,902.83
Answer:
$8,902.83
Step-by-step explanation:
Answer:
8,902.83
Step-by-step explanation:
I have the same question but with different answers
except 8,902.83
(Question # 2) What is the Mode of the following set of numbers: {3, 4, 6,
8, 8, 8, 14, 15, 16, 16
Jill is flying a kite that has a 30ft. long string. If Jill is 5.4 ft. tall and her arm is making a 31-degree angle with the ground, how high is the kite in the air?
Answer:
20.85ft
Step-by-step explanation:
height of kite = person's height + vertical component of kite at the angle
= 5.4ft + 30sin31
=20.85ft
A f and g share the same root(s)
B f and g share one root in common but each have another root that is not shared
C f and g share no roots in common
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Answer:
C f and g share no roots
Step-by-step explanation:
The roots of a polynomial function are the values of x that make factors of the function be zero.
f(x) = x(x +4). The roots of f are -4 and 0.
g(x) = (1/2)(x+3)(x-4). The roots of g are -3 and 4.
f and g share no roots in common.
Four divided by a number, b
Please help
Answer: Can you explain more?
Step-by-step explanation:
Answer:
The expression would be 4 over b : [tex]\frac{4}{b}[/tex]
Step-by-step explanation:
a fraction sign is the same thing as a division sign
6/x=2x+4/5 multiply each side by the common denominator to find the quadratic equation equivalent to this equation
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Answer:
C. 2x² +4x -30 = 0
Step-by-step explanation:
This is what you get when you follow the instructions.
[tex]\dfrac{6}{x}=\dfrac{2x+4}{5}\qquad\text{given}\\\\\dfrac{6(5x)}{x}=\dfrac{(5x)(2x+4)}{5}\qquad\text{multiply by the common denominator $5x$}\\\\30=x(2x+4)\qquad\text{cancel common factors}\\\\30=2x^2+4x\qquad\text{eliminate parentheses}\\\\\boxed{2x^2+4x-30=0}\qquad\text{subtract 30}[/tex]
7•2 + 7•23= pls help
Answer:
175
Step-by-step explanation:
if thats what you mean
Answer:
175
Step-by-step explanation:
7 times 2=14
7 times 23=161
161+14=175
hope this helps:)
plz can i get brainliest
SOMEONE CAN HELP ME , PLEASE I NEED THIS NOW
You have 2 shapes, a rectangle and a half circle.
Area of rectangle = 3 x 8 = 24
Area of a half circle = 1/2 x pi x r^2
Area of half circle = 1/2 x 3.14 x 4^2
Area of half circle = 25.12
Total area = 24 + 25.12 = 49.12 square units
Answer:
You have 2 shapes, a rectangle and a half circle.
Area of rectangle = 3 x 8 = 24
Area of a half circle = 1/2 x pi x r^2
Area of half circle = 1/2 x 3.14 x 4^2
Area of half circle = 25.12
Total area = 24 + 25.12 = 49.12 square units
finished
What is the unit rate of 48 newspapers in 6 piles?
________ newspapers per pile
Use the diagram to find the following bearings.
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Answer:
(a) 15°
(b) 256°
(c) 133°
(d) 313°
Step-by-step explanation:
We assume your bearings are to be reported as an angle measured clockwise from north.
A) The given angle is the bearing: 15°.
__
B) The bearing can be found by subtracting this angle from 450°:
450° -194° = 256°
__
C) The bearing can be found by adding 90° to the angle shown:
43° +90° = 133°
__
D) The reverse bearing can be found by adding 180°:
133° +180° = 313°
_____
Additional comment
Angles in Cartesian coordinates are conventionally measured counterclockwise from the +x axis. In that sense, the angle of C could be considered to be -43°.
Bearing angles are reported different ways. One of them is as an angle in the range 0–360°, measured clockwise from north (up, or +y axis). As such, it can be found by subtracting the conventional Cartesian angle from 90°.
When the Cartesian angle is more than 90°, 360° must be added to the difference to bring it back into the desired 0–360° range. Essentially, angles greater than 90° must be subtracted from 90° +360° = 450°.
Reverse bearings are found by adding or subtracting 180°.
__
An alternate convention for reporting bearings is as an angle in the range 0–90° east or west from north or south. In this convention, A = N15E, B=S76W, and C=S47E.
Occasionally, you will see the angles B and C reported from east or west: B=W14S; C=E43S. This keeps the angles in the 0–45° range. This is NOT a recommended way to report bearings.
Reverse bearings are found by swapping N/S and E/W. That is, the bearing from A to O is S15W, for example.
Find the probability of spinning red on every spin
Is urgent If a line passes through the points (2, 7) and (7,9), its slope is
necessary, use the slash (/) to indicate a fraction.
If
19. √12
rational ir iraational
Answer:
65.8179...
Step-by-step explanation:
its 65.8179...
Here are some points. What is 2/5 out of twenty?
Answer:
8
Step-by-step explanation:
You just need to multiply 20 by 2/5
Or, multiply 20 by 2, then divide by 5.
20 x 2/5
40/5
8
2/5 of 20 = 40/5 or simply, 8.
Have a great day!
alison earned $24 dollars by stocking shelves at grocery store for 3 hours
pleaseeeeeeeeeeeeeeeeeee help
Answer:
2x-7
-14
3x
x = 1
Step-by-step explanation:
Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, and $2.25 for every mile to her final destination. Jazmin's ride home cost a total of $38.75.
Write an equation to represent the situation. Let m represent the number of miles to her home. Do not use any spaces or extra symbols.
Answer:
[tex]5+2.25m=38.75[/tex]
Step-by-step explanation:
Let [tex]m[/tex] represent the number of miles to Jazmin's home.
Initial cost to pick Jazmin [tex]=\$5[/tex]
Cost per mile [tex]=\$2.25[/tex]
Therefore,
Cost for [tex]m[/tex] miles [tex]=\$2.25m[/tex]
Total cost of Jazmin's ride = Initial cost to pick Jazmin + Cost for [tex]m[/tex] miles
= [tex]5+2.25m[/tex]
Also, total cost incurred [tex]=\$38.75[/tex]
So, equation that represent the above situation is [tex]5+2.25m=38.75[/tex]
A snow storm hit Sanford with 7 inches of snow in 28
hours. What was the rate of the snowfall in inches per
hour?
Answer:
.25 in per hour
Step-by-step explanation:
you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28
Answer:
it will be 4 inches per hour
Step-by-step explanation:
to find unit rate you will divide 28 and 7 and will get 4
Write 8/15 as a decimal. If necessary round your answer to the nearest
hundredth.
Answer:
53%
Step-by-step explanation:
8 divided by 5 is equal 0.533333333
8/15 (just divide) is equal to 0.5333... or 0.54
:)
....................
Answer:
11
Step-by-step explanation:
if the probability that will rain today is 5/8 what us the probability that it will not
Answer:
3/8
Step-by-step explanation:
1 - 5/8 = 3/8
1-5/8
3/8
the probability that it will not rain ☔ is 3\8
Can someone please help me I will mark u brilliant
Answer: The answer is 84 cubic feet.
Step-by-step explanation:
V= l*w*h
V=14*12*1/2
V= 84
selena want s to find the area of the figure below. what is the area of the figure?
Answer:
52 m sq
Step-by-step explanation:
PLEASE HELP URGENT!!! 30 POINTS TO WHOEVER ANSWERS BOTH QUESTIONS!!
YOU DO NOT NEED TO SHOW YOUR WORK
The lengths of two sides of a triangle are given: 10 in and 3 in. What is the smallest possible whole number length for the third side?
The lengths of two sides of a triangle are given: 10 in and 3 in. What is the largest possible whole number length for the third side?
Then k =
Answer and I will give you brainiliest
Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?
Given:
The two points are (4,5) and (-3,-5).
To find:
The point-slope form equations could be produced with the given points.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The two points are (4,5) and (-3,-5). So, the slope of the line is:
[tex]m=\dfrac{-5-5}{-3-4}[/tex]
[tex]m=\dfrac{-10}{-7}[/tex]
[tex]m=\dfrac{10}{7}[/tex]
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope of the line.
The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (4,5). So, the point slope form is:
[tex]y-5=\dfrac{10}{7}(x-4)[/tex]
The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (-3,-5). So, the point slope form is:
[tex]y-(-5)=\dfrac{10}{7}(x-(-3))[/tex]
[tex]y+5=\dfrac{10}{7}(x+3)[/tex]
Therefore, the point slope form of the given line is either [tex]y-5=\dfrac{10}{7}(x-4)[/tex] or [tex]y+5=\dfrac{10}{7}(x+3)[/tex].
en un velocímetro se registra una velocidad de 8.5 m/seg ¿cual sería la velocidad en km/hr?
Answer:
x = 30.6 km/hr
Step-by-step explanation:
Dados los siguientes datos;
Velocidad = 8.5 m/s
Para convertirlo a km /hr;
1 m/s = 3.6 km/hora
8.5 m/s = x km/hora
Multiplicación cruzada, tenemos;
x = 8.5 * 3.6
x = 30.6 km/hora
Velocidad se puede definir como la tasa de cambio en el desplazamiento (distancia) con el tiempo. La velocidad es una cantidad vectorial y, como tal, tiene magnitud y dirección. Matemáticamente, la velocidad viene dada por la ecuación;
[tex] Velocidad = \frac {distancia} {tiempo} [/tex]