Answer:
9.0 ft
Step-by-step explanation:
Let the distance from the bottom of the board to the edge of the wall be represented as "x"
Angle measure = θ = 53.13°
Hypotenuse = 15 ft
Adjacent side = x ft
The trigonometric ratio we would apply would be CAH:
Thus,
Cosine θ = Adjacent/Hypotenuse
Plug in the values
Cos 53.13° = x/15
Multiply both sides by 15
15 * Cos 53.13 = x
9.00002143 = x
x ≈ 9.0 ft (nearest tenth)
Therefore, distance from the bottom of the board to the edge of the wall = 9.0 ft
A recipe for 8 pancakes needs the following:
1 1/4 cups of milk
1 1/2 cups of flour
1 egg
Maria has these ingredients.
1 quart of milk
8 cups of flour
12 eggs
How many more cups of milk does Maria need to make 40 pancakes in total?
Answer:
2.25 cups
Step-by-step explanation:
There are 5 eights in 40.
1.25 × 5 = 6.25
1.5 × 5 = 7.5
1 × 5 = 5
1 quart = 4 cups
6.25 cups - 4 cups = 2.25 cups
can you guys help me pls NO LINKS
You are given the expression 128/124 to simplify.
PART A
Which equation shows the correct property of exponents
to use?
am
an = am+n
am
an = am-a
am
an = am-n
am
an = an-m
What is the equation of the line through B and C? B = (4,2) C = (-1,-3).
A.y=x+2
B.y=x−2
C.y=−2x+1
D.y=−x+2
Answer:
y=x-2
Step-by-step explanation:
I graphed the equations on desmos and saw which one had those ordered pairs on the line.
I need Part E,F,G, and H for Math please ;(
Answer:
Rounding to tenths
E: 56.8 %
F: 48.8 %
G: 44.9 %
H: 50.4 %
Step-by-step explanation:
Hope this helps!
Answer:
50.4 percent is f
Step-by-step explanation:
and the steps is calculate it
I have a question for someone out there I'm 10 and need some help what is 1/10+10/100
Answer:
0.2
Step-by-step explanation:
1/10 = 0.1
10/100 = 0.1
0.1+0.1 = 0.2
Which negative angle is equivalent to 275°?
O A. -75°
OB. -65°
O C. -95°
OD. -85
Answer:
-85º
Step-by-step explanation:
275 - 360 = -85
2x+3y=9. SOLVE FOR X
Answer:
Step-by-step explanation:
Let's solve for x.
2x+3y=9
Step 1: Add -3y to both sides.
2x+3y+−3y=9+−3y
2x=−3y+9
Step 2: Divide both sides by 2.
2x/ 2 = −3y+9/ 2
x= −3/ 2 y+ 9/ 2
Answer:
x= −3/ 2 y+ 9/ 2
9 - 3 ÷ 1/3 + 1 = ? HELP ME
Answer:
1
Step-by-step explanation:
9 - 3 ÷ 1/3 + 1
first do division
3 ÷ 1/3 = 9
9 - 9 + 1 = 1
Use the two way table below to answer the question given.
Favor Do not favor No opinion
Male 20 15 17
Female 18 12 7
Are the events 'male' and 'favor independent?
Answer:
Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], these two events are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B, are independent if:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
In this question:
Event A: Male
Event B: Independent
Probability of male:
20 + 15 + 17 = 52 out of (20 + 15 + 17 + 18 + 12 + 7) = 89.
So
[tex]P(A) = \frac{52}{89}[/tex]
Probability of favoring independent:
20 + 18 = 38 out of 89. So
[tex]P(B) = \frac{38}{89}[/tex]
Probability of male and favoring independent:
20 out of 89. So
[tex]P(A \cap B) = \frac{20}{89}[/tex]
Test if they are independent:
[tex]P(A)P(B) = \frac{52}{89}*\frac{38}{89} = \frac{52*38}{89*89} = 0.24946[/tex]
[tex]P(A \cap B) = \frac{20}{89} = 0.22472[/tex]
Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], these two events are not independent.
Evaluate this problem
Answer:
78
Step-by-step explanation:
a + 8b = 6 + 8 x 9 = 6 + 72 = 78
Answer: 78
Step-by-step explanation:
value of a=6
value of b=9
a+8b= 6+8*9
as the 8 will be multiplied by 9
6+8*9= 6+72
6+72 = 78
Brocolli cost $3.36 a pound at the market. If Marisa
bought 2.5 pounds, what was the cost?
Answer:
Step-by-step explanation:
8.4
Answer:
$8.4
Step-by-step explanation:
[tex]3.36*2.5[/tex]
Customers enter the waiting line at a cafeteria on a first-come, first served basis. The arrival rate follows a Poisson distribution, and service times follow an exponential distribution. If the average number of arrivals is 6 per minute and the average service rate of a single server is 10 per minute. What is the average number of customers in the system?
Answer:
the average no of customers in the system is 0.9
Step-by-step explanation:
Given that
The average number of arrivals is 6 per minute
And, the average service rate of a single server is 10 minutes
We need to find out the average no of customers in the system
So,
Lq = rho^2 / 1 ÷ rho
= (6 ÷ 10)^2 ÷ (1 - 6 ÷ 10)
= 36 ÷ 100 × 10 ÷ 4
= 0.9
Hence, the average no of customers in the system is 0.9
Tickets for the theater are $5 for the balcony and $10 for the floor level. The total money
collected is $350. There are 55 tickets sold all together. *
How many balcony and how many floor level tickets were sold?
O 5 balcony / 10 floor
o 50 balcony / 5 floor
O 20 balcony / 30 floor
40 balcony / 15 floor
Answer:
40 Balcony/15 floor
Step-by-step explanation:
A and C are out instantly cause the amount of tickets sold doesnt equal 55 and B is out cause 50x5=250 and 5x10=50 which totals to 300 not 350
3)
A SAS
C) SSS
B) AAS
D) ASA
Answer:
D) ASA
Step-by-step explanation:
Can y’all pls help me solve this!!
3 is what percent of 15
Answer:
3 is 20% of 15
Step-by-step explanation:
James is 425% heavier than his baby brother. Which of the following is equal to 425%
A) 425
B) 40 1/2
C) 4 1/4
D) 17/20
The number of tomato plants Jeff planted went from 4 last year to 12 this year. Find the percent increase.
A bag has 4 green cards, 9 blue cards, 3 purple cards,
and x pink card(s). Each card is a solid color. What is
the probability that a card randomly chosen from the
bag is purple?
answer:
h
Step-by-step explanation:
if there is more blues and green cards than purple there is a lower chance of getting purple
Answer:
[tex]K)~\frac{3}{16+x}[/tex]
Step-by-step explanation:
[tex]green~ cards=4[/tex]
[tex]blue ~cards=9[/tex]
[tex]purple~ cards=3[/tex]
[tex]pink ~cards=x[/tex]
[tex]total:-[/tex] 4×9×3×x
→ [tex]16+x[/tex]
[tex]p(x)=\frac{3}{16+x}[/tex]
[tex]Answer:K[/tex]
[tex]------------[/tex]
hope it helps...
have a great day!!
can someone help me with this PLEASE ITS KILLING ME!!!!
How to find an equation for a line through two given points?
Answer:
The equation of the line is: [tex]y = 0.6x + 0.6[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
[tex]m = \frac{6}{10} = 0.6[/tex]
Then
[tex]y = 0.6x + b[/tex]
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
[tex]y = 0.6x + b[/tex]
[tex]3 = 0.6*4 + b[/tex]
[tex]2.4 + b = 3[/tex]
[tex]b = 0.6[/tex]
The equation of the line is: [tex]y = 0.6x + 0.6[/tex]
What is the slope of the line through the points (2,5) and (6, 13)?
Answer:
m = 2
Step-by-step explanation:
[tex]\frac{13-5}{6-2}=\frac{8}{4} =\boxed{2}[/tex]
Hope this helps.
4/9 dividend by 2/3 =
Please help!!!will give brainlest
Answer:
2/3
Step-by-step explanation:
4/9 divided by 2/3 = 4/9 times 3/2
= 2/3
What is the measure of each exterior angle for a regular polygon with 4 sides?
A. 90°
B. 60°
C. 30°
D. 45°
What is the answer
Answer:
90
Step-by-step explanation:
A regular quadrilateral is a square.
The sum of the exterior angles of a polygon is always
360 degrees
Therefore a quadrilateral has four exterior angles making the individual exterior angles
360 over 4=90 degrees
Hope this helps plz like and brainly :D
much would be appreciated <3
Let C be the boundary of the region in the first quadrant bounded by the x-axis, a quarter-circle with radius 9, and the y-axis, oriented counterclockwise starting from the origin. Label the edges of the boundary as C1,C2,C3 starting from the bottom edge going counterclockwise. Give each edge a constant speed parametrization with domain 0≤t≤1.
Solution :
Along the edge [tex]$C_1$[/tex]
The parametric equation for [tex]$C_1$[/tex] is given :
[tex]$x_1(t) = 9t , y_2(t) = 0 \ \ for \ \ 0 \leq t \leq 1$[/tex]
Along edge [tex]$C_2$[/tex]
The curve here is a quarter circle with the radius 9. Therefore, the parametric equation with the domain [tex]$0 \leq t \leq 1 $[/tex] is then given by :
[tex]$x_2(t) = 9 \cos \left(\frac{\pi }{2}t\right)$[/tex]
[tex]$y_2(t) = 9 \sin \left(\frac{\pi }{2}t\right)$[/tex]
Along edge [tex]$C_3$[/tex]
The parametric equation for [tex]$C_3$[/tex] is :
[tex]$x_1(t) = 0, \ \ \ y_2(t) = 9t \ \ \ for \ 0 \leq t \leq 1$[/tex]
Now,
x = 9t, ⇒ dx = 9 dt
y = 0, ⇒ dy = 0
[tex]$\int_{C_{1}}y^2 x dx + x^2 y dy = \int_0^1 (0)(0)+(0)(0) = 0$[/tex]
And
[tex]$x(t) = 9 \cos \left(\frac{\pi}{2}t\right) \Rightarrow dx = -\frac{7 \pi}{2} \sin \left(\frac{\pi}{2}t\right)$[/tex]
[tex]$y(t) = 9 \sin \left(\frac{\pi}{2}t\right) \Rightarrow dy = -\frac{7 \pi}{2} \cos \left(\frac{\pi}{2}t\right)$[/tex]
Then :
[tex]$\int_{C_1} y^2 x dx + x^2 y dy$[/tex]
[tex]$=\int_0^1 \left[\left( 9 \sin \frac{\pi}{2}t\right)^2\left(9 \cos \frac{\pi}{2}t\right)\left(-\frac{7 \pi}{2} \sin \frac{\pi}{2}t dt\right) + \left( 9 \cos \frac{\pi}{2}t\right)^2\left(9 \sin \frac{\pi}{2}t\right)\left(\frac{7 \pi}{2} \cos \frac{\pi}{2}t dt\right) \right]$[/tex]
[tex]$=\left[-9^4\ \frac{\cos^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} -9^4\ \frac{\sin^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} \right]_0^1$[/tex]
= 0
And
x = 0, ⇒ dx = 0
y = 9 t, ⇒ dy = 9 dt
[tex]$\int_{C_3} y^2 x dx + x^2 y dy = \int_0^1 (0)(0)+(0)(0) = 0$[/tex]
Therefore,
[tex]$ \oint y^2xdx +x^2ydy = \int_{C_1} y^2 x dx + x^2 x dx+ \int_{C_2} y^2 x dx + x^2 x dx+ \int_{C_3} y^2 x dx + x^2 x dx $[/tex]
= 0 + 0 + 0
Applying the Green's theorem
[tex]$x^2 +y^2 = 81 \Rightarrow x \pm \sqrt{81-y^2}$[/tex]
[tex]$\int_C P dx + Q dy = \int \int_R\left(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}\right) dx dy $[/tex]
Here,
[tex]$P(x,y) = y^2x \Rightarrow \frac{\partial P}{\partial y} = 2xy$[/tex]
[tex]$Q(x,y) = x^2y \Rightarrow \frac{\partial Q}{\partial x} = 2xy$[/tex]
[tex]$\left(\frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y} \right) = 2xy - 2xy = 0$[/tex]
Therefore,
[tex]$\oint_Cy^2xdx+x^2ydy = \int_0^9 \int_0^{\sqrt{81-y^2}}0 \ dx dy$[/tex]
[tex]$= \int_0^9 0\ dy = 0$[/tex]
The vector field F is = [tex]$y^2 x \hat i+x^2 y \hat j$[/tex] is conservative.
2√54 - √27 - 3√24 how to simplify
Answer: -3√3
Step-by-step explanation: Factor out the square roots from each term
2√54 -> 6√6
√27 -> 3√3
3√24 -> 6√6
The equation becomes 6√6 - 3√3 - 6√6
By combining like terms we can eliminate 6√6
This leaves us with -3√3 as the simplified solution
Answer:
-3√3
Step-by-step explanation:
do the hcf method to get all the values outside
hcf of 54= 2, 3, 3, 3
hcf of 27 = 3, 3, 3
hcf of 24 = 2,2,3,3
2✓2×3×3×3 - √3,3,3 - 3√2,2,3,3
take out the common factor and multiply it with the value we have outside leave it if it doesnt have a number
2×3√2×3 - 3✓3 -3×2×3
6√6 - 3√3 - 3×2×3
6×3 - 3√3 - 3×2×3
18-18 - 3✓3
-3√3
Find the angle that gives the Sine value of .9848 *
Can someone help me out
Answer:
1. 29. Solve for the variable and graph the solution on a number line: –2x < –10 30. Solve for the variable and graph the solution on a number line: 9 + c > –2 31. Solve for the variable and graph the solution
2. v – 4 ≥ 3 (6 + 2v
3. The last term, "the constant", is -5 Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20 Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -8
4.The first term is, 4p 2 its coefficient is 4 . The middle term is, -8p its coefficient is -8 . The last term, "the constant", is -5 Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20
Step-by-step explanation:
the rest is up to you, and u better say thanks and give me brainliest this took ages to explain
After 9 years in an account with a 3.9% annual interest rate compounded continuously, an investment is worth a total of $17,757.16. What is the value of the principal investment? Around the answer to the nearest penny.
The value of the principal investment would be = $12,500.75
What is a principal investment?A principal investment is defined as the capital amount of money that is being deposited into an account with the purpose of receiving interest for a particular period of time.
The years of investment (t) = 9 years
The annual interest rate (r) = 3.9% = 3.9/100= 0.039
The total worth of the investment (A) = $17,757.16
Then, solve the equation for P
P = A / ert
P = 17,757.16 / e(0.039*9)
P = $12,500.75
Therefore, the principal amount that is needed which can be compounded continuously to get the total amount given = $12,500.75
Learn more about simple interest here:
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