Answer:
C) (square root 2)/2
Step-by-step explanation:
In quadrant III, the sine of an angle is positive. The value will be ...
sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)
sin(Θ) = (√2)/2
20(base three)-11(base three) . Carry out the operation in binary system
20₃ - 11₃ = 20₃ - 10₃ - 1₃
… = 10₃ - 1₃
… = 2₃
Put another way, we "borrow a 1" from the 3¹ digits place:
20₃ = 1(3)₃ - 11₃ = 2₃
But this is just the number 2 (in base 10), which in base 2 would be 10₂.
Rewrite (7/9) ^-1 without an exponent
Answer: 9/7
Step-by-step explanation:
(7/9)^-1 means you have to find the reciprocal, which is 9/7
Answer:
9/7
Step-by-step explanation:
with any negative power, we have to find the reciprocal of the base. in this case, it is 9/7. then, apply the exponent to the fraction. now, it is 9^1 over 7^1. we can just write it as 9/7 because if the exponent is 1, it is just the value of the base, so it is not written.
If a microbiologist cultured 3000 cells at a rate of 7%, how many days will it take for 360 new cells to reproduce?
Answer:A = A0ekt
where A0 = 3000, k = 7% (or 0.07)
A = (3000 + 630) = 3630 = 3000e[(0.07)t]
Our goal is to find t
[(3630)/(3000)] = e[(0.07)t]
ln{[(3630)/(3000)]} = (0.07)t
(0.07)t = 2*ln(11/10)
t = = 2.7 days
Step-by-step explanation:
What value of b will make the expressions −13.2x+b and −2.2(6x−2.4)+4.3 equivalent?
We know that:
−13.2x + b = −2.2(6x − 2.4) + 4.3Solution:
−13.2x + b = −2.2(6x − 2.4) + 4.3=> −13.2x + b = -13.2x + 5.28 + 4.3=> −13.2x + b = -13.2x + 9.58 => b = 9.58Hence, the value of b to make this equation equivalent is 9.58
four times as many as 4 pencils is p
Answer:
[tex]16=p[/tex]
Step-by-step explanation:
Equation from problem:
[tex]4(4)=p[/tex]
Solve:
[tex]16=p[/tex]
A ladder leaning against a wall is used to reach a window that is 16 feet above the
ground. The wall is 12 feet from the bottom of the ladder? How long is the ladder in feet?
Answer:
20
Step-by-step explanation:
c = √a2 + b2 = √162 + 122 = 20
Hope this helps pls mark brainliest
36 x 1/5
Show your work
Answer:
7 1/5 or 36/5
Step-by-step explanation:
First, multiply 36 by the numerator which is 36 x 1.
Second, 36 x 1 is 36 so then it turns out to be 36/5.
Third, it your choice rather you want it to be improper or mixed fraction.
Then, if you want it to be improper fraction your answer would be 36/5 but if you want it to be mixed fraction divide 36 with 5.
Lastly, you get 7 1/5.
can you answer this question for me?
Answer: (A)c and e
(B) 4.8 times
Step-by-step explanation:
Pls help due tomorrow!!!
Slope = -7; (4, -30)
Answer:
y = -7x - 2
Step-by-step explanation:
To write this into an equation, we need to use the y = mx + b formula.
y = mx + b
-30 = -7(4) + b <--- Substitute 4 as x, and -30 as y.
-30 = -28 + b
+ 28 +28 <--- Add 28 on both sides of the equation.
-2 = b
Final equation:
y = -7x - 2
Answer:
equation: y = -7x - 2Step-by-step explanation:
using the formula: y - y1 = m ( x - x1 )
: y - -30 = -7 ( x - 4 )
: y + 30 = -7x + 28
: y = -7x + 28 - 30
: y = -7x - 2
A store offers a discount if a customer purchases shirts in bulk. The table shows the relationship between the cost (c) in dollars per shirt and the number (s) of shirts purchased.
Answer:
Step-by-step explanation:
Find the area of triangle whose base is 6 cm and height is 8 cm
Answer:
24cm squared
Step-by-step explanation:
do base x height = 48 then as it is half of a square you half it.
2 1/3x4 1/5 in simplest form
Answer:
[tex]{ \tt{2 \frac{1}{3} \times 4 \frac{1}{5} }} \\ \\ = { \tt{ \frac{7}{3} \times \frac{21}{5} }} \\ \\ = { \tt{ \frac{147}{15} }} \\ \\ = \frac{49}{5} \\ \\ = 9 \frac{4}{5} [/tex]
Answer:
8 1/15 (Simplest form).Step-by-step explanation:
Given equation:
2 1/3 * 4 1/5Solve the whole numbers first.
2 * 4 = 8Let's solve fractions, in a form what I call, the mashed fraction:
1/3 * 1/5= [tex]\frac{1 * 1}{3 * 5}[/tex]= 1/15Add both of them up:
8 + 1/15= 8 1/15Can't simplify it, so 8 1/15 is the answer.
Use a calculator to find the angle measure to the nearest degree for sin-1 (0.8660).
45 Pts!
Answer:
[tex]sin^{-1} (0.866)[/tex] = 60°
Step-by-step explanation:
→ [tex]sin^{-1} (0.866)[/tex]
→ 60°
A theater has 22 rows of seats. The first row has 18 seats, the second row has 20 seats, the third row has 22 seats, and so on. How many seats are in the theater?
Answer:
1078
Step-by-step explanation:
Total no of rows (n) = 22
Since, 18, 20, 22 ..... forms an arithmetic sequence with first term (a) = 18 and common difference (d) = 2.
We need to find: Total no of seats in the theatre [tex](S_{22}).[/tex]
Formula to be used:
[tex]S_{n}= \frac{n}{2}\bigg[2a+(n-1)d\bigg][/tex]
Plug the values of a, d and n in the above formula, we find:
[tex]\implies S_{22}= \frac{22}{2}\bigg[2(28)+(22-1)(2)\bigg][/tex]
[tex]\implies S_{22}=11[56+(21)(2)][/tex]
[tex]\implies S_{22}=11[56+42][/tex]
[tex]\implies S_{22}=11[98][/tex]
[tex]\implies S_{22}=1078[/tex]
Thus, there are total 1078 seats in the theatre.
given Q= 100K^0.5 L^0.5 w=50 r=40 show how to determine the amount of labor and capital that the firm should use in order to minimize the cost of producing 1,118 units of output. what is the minimum cost?
In this exercise we have to use the knowledge of function to write the minimum production cost, so we have to:
[tex]K=13.975[/tex]
Thus writing the function that corresponds to this will be:
[tex]MPK = Q'(K) = 50L^{0.5}/K^{0.5} = 25\\MPL = Q'(L) = 50K^{0.5}/L^{0.5} = 100[/tex]
Now calculating the minimum production cost we have:
[tex]MPK/r = MPL/w\\MPK/40 = 100/50\\MPK =80\\MPK = 50L^{0.5}/K^{0.5} = 80\\K=(1.118/80)= 13.975[/tex]
See more about functions at brainly.com/question/14674614
(image) The figure below is an isosceles triangle surmounted by a semi-circle. Find the area of the entire region.
5 5 40°
Answer:
12.53
Step-by-step explanation:
∠BCA = (180°-40°)/2 = 70°
Laws of Sines: CA/sin 40° = AB/sin 70° = 5/sin 70°
CA = 5/sin 70° * sin 40° = 3.40
area of semicircle CA = (3.1416 * 1.70²) / 2 = 4.54
By Heron's Formula, area of triangle ABC:
1/4 √(a+b+c) (a+b-c) (b+c-a) (c+a-b) = 1/4 * √13.4*3.4*3.4*6.6
= 7.99
Entire region area = 4.54 + 7.99 = 12.53
Which equation is the equation of the line, in point-slope form, that has a slope of 2 and passes through the point (-8, 1)?
012 (18)
Y82 (
11
1-2 (+8)
82 (1)
Answer:
y=2x+17
Step-by-step explanation:
y-y1=m(x-x1)
y-1=2(x-(-8))
y-1=2(x+8)
y=2x+16+1
y=2x+17
ZA is opposite
B
A
A. BC
O O
B. AB
C. C
D. AC
E. ZA
F. AB and Ac
256 divided by 16 ratio table problem
Answer:
256 divided by 16 is 16.
Step-by-step explanation:
16 can fit into 256, 16 times!
I need help with this, please
What do you need help with?
is a diameter of D. If m∠BDC = 140°, what is the measure of ?
60°
180°
40°
140°
Answer:
To find ab you need to subtract 140 degrees from 180 degrees
That should equal 40 degrees
Step-by-step explanation:
Answer:
the answer to the question is 40
-
Which of the following is not a function?
A.
y = 5*
B.
X
xlo
y
8
8
8
2
colo
4
c.
{(3,-2), (7-4), (3, 2), (10,-8)}
D.
Answer:
2 is not function because 1 has no unique image
Give me a true statement about g(×)and f(×)
Answer:
It Gx+Fx
Step-by-step explanation:
Would the answer be 19 1/3 or 1? Please help!
Answer:
19 because it greater and im guessing
Help with this question
Answer:
Rita earned $90,510
Step-by-step explanation:
If you multiply each sale price by 0.03 (what 3% is in decimal form), you'd get the amount Rita made for each house. Add all these up, and you get $90,510, the total amount she made in one year.
EQUATIONS
y = x2 – 1
Domain:
Range:
Function?
Answer:
Domain: all real numbers
Range: -1,infinity
Function: yes
an angle is 74 degrees more than the measure of its supplementary angle. what is the measure of each angle
Answer:
53° and 127°
Step-by-step explanation:
180 - 74 = 106
106/2 = 53
53 + 74 = 127
127 + 53 = 180
what is this question
Answer:
MT is a segment bisector of the ray PQ
Answer:
Ray MTExplanation:
You can clearly see that when ray MT intersected PQ, it has showed two small lines between the equal distances. This means that if Ray MT intersected the line, they are both equal in length. Hence, Ray MT is the segment bisector.
Ethan saves $1.25 on Monday and $4.25 on Friday each week. How long would it take him to save enough for a $99 pair of AirPods?
Answer:
18 weeks
Step-by-step explanation:
Ethan earns $5.50 per week (5.5w) in an attempt to reach $99 (99)
5.5w=99
divide both sides by 5.5 and you get:
w=18
Therefore, Ethan must work 18 weeks in order to save enough for a $99 pair of AirPods
A project requires a round, concrete patio on the back of a house with a diameter of 24′. How much concrete would be required to pour the patio 6″ thick? Express your answer in cubic yards.
Answer:
8.38 yd³
Step-by-step explanation:
Use volume of a cylinder formula: [tex]\pi r^2h[/tex]
where r is the radius and h is the height.
Radius = half of diameter = 24 ÷ 2 = 12 ft
Height = 6 in
We need to express the answer in yards, so first convert radius and height to yards:
1 yard = 3 ft = 36 in
⇒ Radius = 12 ft = 4 yards
⇒ Height = 6 in = 1/6 yards
Substituting these values into the volume of a cylinder formula:
[tex]\pi r^2h[/tex] = [tex]\pi[/tex] x 4² x 1/6
= [tex]\frac{8}{3} \pi[/tex]
= 8.38 yd³ (nearest hundredth)
