Use the law of sines to get this answer
b/sin(B) = c/sin(C)
c/sin(C) = b/sin(B)
c/sin(60) = 3/sin(45)
c = sin(60)*( 3/sin(45) )
c = 3.6742346 approximately
c = 3.67 rounding to nearest hundredth
Make sure your calculator is in degree mode.
write an equation of the line that passes through (4,-6) and is parallel to the line y=-3x-9
Answer:
y - 7 = 3(x - 3)
y - 7 = 3x - 9
y = 3x - 2
Step-by-step explanation:
Hope this helped you!
Change 80265 gram to kilogram
Hey there! :)
Answer:
80.265 kg.
Step-by-step explanation:
1 kilogram = 1000 grams. Therefore:
[tex]\frac{80265g}{1} * \frac{1 kg}{1000g} = \frac{80265kg}{1000} = 80.265 kg[/tex]
80265 grams = 80.265 kg.
Answer:
80.265 kg
Step-by-step explanation:
1 kilogram is equivalent to 1,000 g. Therefore, the decimal point goes 3 spaces to the left to divide by 1,000, which is one rack ayyy.
Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.
Answer:
125°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 (octagon), thus
sum = 180° × 6 = 1080°
let x represent one of the equal angles, then
3x + 705 = 1080 ( subtract 705 from both sides )
3x = 375 ( divide both sides by 3 )
x = 125
Thus the size of one equal angle = 125°
which point on the number line best repersent √22
Answer:
The square root of 22 is around 4.69, so whatever point is closest to that will be your answer. :)
Answer:
b. 4.7
Step-by-step explanation:
PLEASE HELP!! use trigonometry to solve for the missing side of x of the right triangle
Answer:
x = 10.7775
Step-by-step explanation:
We can see that we need to use sin∅ to help solve for x:
sin56° = x/13
13sin56° = x
x = 10.7775
Answer:
10.77
Step-by-step explanation:
Pretty easy stuff, basically you use the sin ratio to solve this.
so it would be sin(56) = x/13
then you multiply 13 to sin(56)
and get 10.77.
Hope this helped :)
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 1% margin of error at a 99% confidence level, what size of sample is needed
Answer:
16589.44
Step-by-step explanation:
z score for 99% confidence interval = 2.576
Margin of error = 1% = 0.01
Formula =
Margin of error = z score × p(1 - p)/n
0.01=2.576 × √ (0.25)/n
0.01=2.576 × 0.5/√ (n)
Crops Multiply
0.01× √ (n) = 2.576 × 0.5
divide both sides by 0.01
√(n) = 2.576 × 0.5/ 0.01
√n =128.8
Square bother sides
n = 128.8²
n = 16589.44
If Tanø =a/b Find the value of sinø+cosø/sinø-cosø
Answer:
[tex]\frac{b+a}{b-a}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{perpendicular}{base}[/tex] = [tex]\frac{b}{a}[/tex]
So, Perpendicular = b, base = a
Finding hypotenuse by Pythagorean Theorem:
[tex]c^2 = a^2+b^2[/tex]
=> So, hypotenuse = c
Sin θ = [tex]\frac{perpendicular}{hypotenuse}= \frac{b}{c}[/tex]
Cos θ = [tex]\frac{base}{hypotenuse}= \frac{a}{c}[/tex]
So, Now finding [tex]\frac{sin\theta+cos\theta}{sin\theta-cos\theta}[/tex]
=> [tex]\frac{b}{c} + \frac{a}{c}[/tex] ÷ [tex]\frac{b}{c} - \frac{a}{c}[/tex]
=> [tex]\frac{b+a}{c}[/tex] ÷ [tex]\frac{b-a}{c}[/tex]
=> [tex]\frac{b+a}{c} * \frac{c}{b-a}[/tex]
=> [tex]\frac{b+a}{b-a}[/tex]
can someone please help me, I don’t understand this
Answer:
To find the circumference
diameter x 3.14 = circumference
We can undo the multiplication and divide to get the diameter
37.68 /3.14 = 12
diameter / 2= radius
12 / 2 = 6
the radius is 6
radius x radius x pi = area
6 x 6 x 3.14 = 113.04
113.04 is the answer
Hope this helps
Step-by-step explanation:
Answer:
113.04 square inches.
Step-by-step explanation:
The formula to find the circumference is 2πr. The formula for the area is πr^2. We are trying to find r in order to solve the problem.
It says use 3.14 for π. The circumference is 37.68 inches.
2πr = 37.68
2 * 3.14r = 37.68
3.14r = 18.84
r = 6
Now that we know the radius of the circle, we can find the area!
πr^2 = 3.14 * (6^2) = 3.14 * 36 = 113.04.
Hope this helps!
12. Where do the lines y = 5 and x = -7 intersect?
Answer:
(-7,5)
Step-by-step explanation:
y = 5 and x = -7
The lines intersect at the point x=-7 and y =5
(-7,5)
The formula for a volume of a cylinder is V= pi r squared h/3. solve the equation for h, or height. PLZ help ASAP
Answer:
h=3V/πr²
Step-by-step explanation:
V= πr²h/3πr²h=3Vh=3V/πr²Answer:
3V / (pi r^2) = h
Step-by-step explanation:
V= pi r squared h/3
Multiply each side by 3
3V = pi r^2 h /3 * 3
3V = pi r^2 h
Divide each side by pi r^2
3V / (pi r^2) = pi r^2 h /( pi r^2)
3V / (pi r^2) = h
Find the slope of the line that passes through (3, 6) and (6, 10). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
4/3
Step-by-step explanation:
To find slope use the formula (y2-y1)/(x2-x1)
In this case it is (10-6)/(6-3)
4/3
Which of the following is a solution to the system of nonlinear equations below?
Answer:
the solution to the system of nonlinear equations is C. (0,3)
Each number in a sequence is formed by doubling the previous number and then adding 1. If the ninth number in the sequence is63, what is the 10th number minus the 7th number?
Answer:
[tex]T_{10} - T_7 = 112[/tex]
Step-by-step explanation:
Given
[tex]T_9 = 63[/tex]
Required
Find [tex]T_{10} - T_7[/tex]
From the question, we have that:
Each sequence = 2 * Previous sequence + 1;
i.e.
[tex]T_n = 2 * T_{n - 1} + 1[/tex]
Considering the 9th sequence;
[tex]T_9 = 2 * T_8 + 1[/tex] ------ Equation 1
Considering the 8th sequence;
[tex]T_8 = 2 * T_7 + 1[/tex]
Substitute [tex]2 * T_7 + 1[/tex] for [tex]T_8[/tex] in equation 1
[tex]T_9 = 2 * T_8 + 1[/tex] becomes
[tex]T_9 = 2 * (2 * T_7 + 1) + 1[/tex]
Open bracket
[tex]T_9 = 2 * 2 * T_7 + 2*1 + 1[/tex]
[tex]T_9 = 4T_7 + 2 + 1[/tex]
[tex]T_9 = 4T_7 + 3[/tex]
Substitute 63 for [tex]T_9[/tex]
[tex]63 = 4T_7 + 3[/tex]
Subtract 3 from both sides
[tex]63 - 3 = 4T_3 + 3 - 3[/tex]
[tex]60 = 4T_3[/tex]
Divide both sides by 4
[tex]\frac{60}{4} = \frac{4T_3}{4}[/tex]
[tex]15 = T_7[/tex]
[tex]T_7 = 15[/tex]
Considering [tex]T_{10}[/tex]
[tex]T_1_0 = 2 * T_9 + 1[/tex]
Substitute 63 for [tex]T_9[/tex]
[tex]T_1_0 = 2 * 63 + 1[/tex]
[tex]T_1_0 = 126 + 1[/tex]
[tex]T_1_0 = 127[/tex]
Calculating [tex]T_{10} - T_7[/tex]
[tex]T_{10} - T_7 = 127 - 15[/tex]
[tex]T_{10} - T_7 = 112[/tex]
Hence, the 10th - 7th number is 112
Only answer if your are 100% sure.
Answer:
It is zero
Step-by-step explanation:
The attatched should help you understand discriminants:
Answer:C
Step-by-step explanation:
If the discriminant is negative you will have no real roots, if it is positive it will have 2 real roots, only with a discriminant of 0 will you get only one real root. Also, for undefined discriminant that is the same as a negative answer.
A two-factor research study has 2 levels of factor A and three 3 of factor B with n = 8 participants in each treatment condition. For this study, what is the value for dfbetween treatments? a.5b.4c.3d.6
Answer:
a.5
Step-by-step explanation:
The computation of the value for df^{between treatments} is shown below:
According to the question, the data provided is as follows
Two levels of factor A
And, there are three of factor B
So, the total number of treatment conditions is
= 2 × 3
= 6
Now the value for df^{between treatments} is
= 6 - 1
= 5
Hence, the correct option is a.5
The value for df between treatments is (a) 5
The given parameters are:
[tex]\mathbf{A = 2}[/tex] --- levels of factor A
[tex]\mathbf{B = 3}[/tex] --- levels of factor B
Start by calculating the total number of treatment conditions (n)
[tex]\mathbf{n = A \times B}[/tex]
So, we have:
[tex]\mathbf{n = 2 \times 3}[/tex]
[tex]\mathbf{n = 6}[/tex]
Calculate the degrees of freedom (df)
[tex]\mathbf{df = n - 1}[/tex]
Substitute 6 for n
[tex]\mathbf{df = 6 - 1}[/tex]
[tex]\mathbf{df = 5}[/tex]
Hence, the difference is (a) 5
Read more about degrees of freedom at:
https://brainly.com/question/8605632
Plssssssssssssss help me it’s due tomorrow I really need help I will mark brainliest!!!
Answer:
∠BAD = 100°
∠ADC = 105°
∠DCB = 50°
∠ABC = 105°
Step-by-step explanation:
∠BAD is given.
∠ADC is supplementary to the 75°, so it is 180-75 = 105°
∠DCB is 50° just like its opposite angle
The sum of all angles in a quadrilateral must be 360, so ∠ABC = 360-100-105-50 = 105.
Find the total surface area in square inches, of the following 3-
dimensional figure. Enter just a number for your answer.
Answer:
81 in²
Step-by-step explanation:
The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.
The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.
Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length
Where,
Base area = s² = 5² = 25 in²
Perimeter of base = 4(s) = 4(5) = 20 in
Slant height = 5.6 in
Surface area = 25 + ½(20) × 5.6
= 25 + 10 × 5.6
= 25 + 56
Surface area = 81 in²
What is the length of the missing side? 6.7 49 45 None of these choices are correct.
Answer:
b = sqrt(45)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and be are the legs and c is the hypotenuse
2^2 + b^2 = 7^2
4 + b^2 = 49
Subtract 4 from each side
b^2 = 49-4
b^2 = 45
Take the square root of each side
sqrt(b^2) = sqrt(45)
b = sqrt(45)
A chemist is using 367milliliters of a solution of acid and water. If 18.4% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
Step-by-step explanation:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride? A)$0.20 B)$0.02 C) $2.20 D)$2.00
Answer:
c
Step-by-step explanation:
Any ride takes $2.00 and one mile takes $0.20.
Cost = $0.20 + $2.00
Cost = $2.20
?
Match each ratio to an equal ratio. Drag the items on the left to the
correct location on the right.
1:4
4:48
1:3
4:6
2:3
2:8
1:12
2:6
Answer:
2:8 is the ratio to an equal ratio
Find the values of y = p(x) = √x for x = 0, 1.44, 2.25, 3.24, 4.41, 5.29.
Answer:
The correct answers are:
[tex]\sqrt{0}=0\\\sqrt{1.44} = \pm 1.2\\\sqrt{2.25} = \pm 1.5\\\sqrt{3.24} = \pm 1.8\\\sqrt{4.41} = \pm 2.1\\\sqrt{5.29} =\pm 2.3[/tex]
Step-by-step explanation:
Given the function:
[tex]y=p(x)=\sqrt{x}[/tex]
That means, the value that we give as input i.e. the value of x is square rooted and given as output.
Input is x and output is [tex]\sqrt x[/tex].
Now, calculating the outputs for different values of x:
1. x = 0, the square root of 0 is always 0.
so, y = p (0) = 0
2. x = 1.44
[tex]y = p(1.44)=\sqrt{1.44} \\\Rightarrow \sqrt{\dfrac{144} {100}}\\\Rightarrow \pm \dfrac{12} {10} = \pm 1.2[/tex]
Similarly other square roots can be calculated:
3. x = 2.25
[tex]y = p(2.25)=\sqrt{2.25} \\\Rightarrow \sqrt{\dfrac{225} {100}}\\\Rightarrow \pm \dfrac{15} {10} = \pm 1.5[/tex]
4. x = 3.24
[tex]y = p(3.24)=\sqrt{3.24} \\\Rightarrow \sqrt{\dfrac{324} {100}}\\\Rightarrow \pm \dfrac{18} {10} = \pm 1.8[/tex]
5. x = 4.41
[tex]y = p(4.41)=\sqrt{4.41} \\\Rightarrow \sqrt{\dfrac{441} {100}}\\\Rightarrow \pm \dfrac{21} {10} = \pm 2.1[/tex]
6. x = 5.29
[tex]y = p(5.29)=\sqrt{5.29} \\\Rightarrow \sqrt{\dfrac{529} {100}}\\\Rightarrow \pm \dfrac{23} {10} = \pm 2.3[/tex]
Hence, The correct answers are:
[tex]\sqrt{0}=0\\\sqrt{1.44} = \pm 1.2\\\sqrt{2.25} = \pm 1.5\\\sqrt{3.24} = \pm 1.8\\\sqrt{4.41} = \pm 2.1\\\sqrt{5.29} =\pm 2.3[/tex]
Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto. ¿Cuánto tiempo le llevará a cada uno si juntos pueden hacer el trabajo en 3h?
Answer:
El tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
Step-by-step explanation:
Para calcular el tiempo que le llevará a cada uno si juntos pueden hacer el trabajo en 3h, tenemos que primero segun los datos considerar lo siguiente:
Segun los datos tenemos que Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto, por lo tanto:
2X=Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto
X=El tiempo que le toma a Alberto.
Por lo tanto calculando la siguiente ecuacion, podremos hallar el valor de X:
2X+X=3 horas
3X=3 horas
X=1 hora
Entonces, tenemos que el tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
7. In 2015 a club has 250 members who each
pay
$95 annual subscription.
In 2016 the membership increases by 4% and the annual subscription is
increased by 6%. What is the total income from subscriptions in 2016?
2015:
250 members
$95 annual subscription
2016
250 members + 4%
$95 annual subscription + 6%
Work:
250 x 1.04 = 260
95 x 1.06 = 100.7
260 x 100.7 = 26,182
Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7
Which situation is best represented using a negative integer? A)a deposit of $35 into a bank account B)the temperature decreasing by 18º C)an additional 5 gallons of gas being put into a car D)a student reading today for 20 minutes longer than yesterday
Answer:
B
Step-by-step explanation:
Answer:
I don't know if I'm right but i think it's B
Step-by-step explanation:
again, I'm not so sure, so if I'm wrong please correct me
What is the length of BD?
Answer: BD = 9 units
Step-by-step explanation:
ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.
19.2 / 32 = 0.6
15 * 0.6 = 9
So the length of side BD is 9 units.
Answer:
9 units
Step-by-step explanation:
I NEED HELP HURRY PLEASE, THANKS! :)
Answer: [tex]\bold{b)\quad \dfrac{\pi}{2}+n\pi,\ \dfrac{\pi}{4}+2n\pi}[/tex]
Step-by-step explanation:
cos x tan x - cos x = 0
cos x (tan x - 1) = 0
cos x = 0 tan x - 1 = 0
[tex]x=\dfrac{\pi}{2},\ \dfrac{3\pi}{2}[/tex] tan x = 1
[tex]x=\dfrac{\pi}{4},\ \dfrac{5\pi}{4}[/tex]
Thanks! I hope my answer would be easy to understand.
If, 3a/b= 12 what is the value of (-a/-b)
Answer:
A ; -4
Step-by-step explanation:
3a = 12b then a = 4b (dividing by 3)
we put 4b in the equation instead of a:
(-4b / b) = -4
.. ..
Answer:
A. -4
Step-by-step explanation:
3a/b = 12
Let b = 2
3a/2 = 12
3a = 24
a = 8
( - a/b)
( - 8/2)
( - 4)
Please answer this question fast in two second
Answer:
it could be angle DGF or CGA (they are both supplementary to angle CGD)
Step-by-step explanation:
HELP ME PLEASE AND FAST HURRY
Answer:
(1,0)
Step-by-step explanation:
The vertex is the maximum of the parabola
It is at x=1 and y = 0
(1,0)
Answer:
(1, 0)
Step-by-step explanation:
In simpler words, the vertex of a parabola is where it bends.