Answer:
70 ft
Step-by-step explanation:
If you draw a diagram, a right triangle is formed from this scenario. Because Carl is directly 35 ft above the ground, this represents the opposite side length in the triangle model. The distance between Carl and island would represent the hypotenuse.
The trig function that corresponds with opposite and hypotenuse legs is Sine.
The equation is sin(30°) = [tex]\frac{35}{h}[/tex]
sin(30) is 1/2. The value of h that would make this equation true is 70. Therefore he is 70 feet away from the island
If f(–5) = 0, what are all the factors of the function f (x ) = x cubed minus 19 x 30? Use the Remainder Theorem. (x – 2)(x 5)(x – 3) (x 2)(x – 5)(x 3) (x – 2)(x 5) (x 2)(x – 5).
Answer:
A. (x – 2)(x + 5)(x – 3) on edg
Step-by-step explanation:
Took the test
When a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial. The factors of x³-5x+6 are (x+5)(x-2)(x-3).
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
Since f(–5) = 0, therefore, (x+5) is a factor of the polynomial f(x).
[tex]\dfrac{x^3-19x+30}{x+5} = x^2-5x+6[/tex]
Now, x² -5x + 6 can be factorised as,
x² - 5x + 6
x² - 2x - 3x + 6
x(x-2) -3 (x-2)
(x-2)(x-3)
Hence, the factors of x³-5x+6 are (x+5)(x-2)(x-3).
Learn more about the Remainder Theorem:
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If the total surface area of a cube is 96cm², find its volume
======================================================
Explanation:
Let's find the side length of the cube based on the given surface area.
SA = 6s^2
96 = 6s^2
6s^2 = 96
s^2 = 96/6
s^2 = 16
s = sqrt(16)
s = 4
The cube has side length 4 cm.
Now calculate the total volume.
V = s^3
V = 4^3
V = 4*4*4
V = 64 cubic cm.
-------------------
Extra info:
The unit "cubic cm" can be abbreviated to "cc". So whenever you hear something from a medical tv show "get me 10 cc's of XYZ", that's what they're referring to. Of course the "10" might be some other realistic value, it's just an example.
1 cc = 1 milliliter
A pail contains a certain amount of water. After Peter used it to fill a 1.5 liter can, a 750 milliliter bottle, and a 2 liter 250 milliliter tin, he realized that he had a liter of water left in a pail. How much water was in the pail at first? explain and show your work.
Answer:
After Peter used it to fill a 1.5 liter can, a 750 milliliter bottle, and a 2 liter 250 milliliter tin, he realized that he had a liter of water ...
Step-by-step explanation:
What is 3(2x -5) + 10 ≥ 25?
An explanation would be thanked and also given brainlyist (づ￣ 3￣)づ
Answer:
x>_5
Step-by-step explanation:
distribute ---> 6x-15+10_>_25... add 5 to both sides 6x_>_ 30... then divide by 6... x>_5
What is the midpoint of the segment shown below?
A. (2, -3)
O B. (1,-})
O c. (2,-})
C D. (1, -3)
Answer:
B. (1, -3/2)
Step-by-step explanation:
Midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2
what is the surface area of the Triangular prism? Pls answer ASAP I WILL GIVE BRAINLIEAST.
Answer:
170cm²
Step-by-step explanation:
so the middle rectangle part first
15x10=150
then there's triangles so i'm gonna skip the divided by 2 part.
5x4=20
150+20=170
Solution:
Note that:
Surface area = 2(Area of triangle) + 3(Area of rectangle)Finding the area of triangle:
Area of triangle = 1/2 x 4 x 5=> Area of triangle = 1/2 x 20Area of triangle = 10 cm²Finding the area of rectangle:
Area of rectangle = 5 x 10=> Area of rectangle = 50 cm²Using the formula of surface area:
Surface area = 2(Area of triangle) + 3(Area of rectangle)=> Surface area = 2(10) + 3(50)=> Surface area = 20 + 150=> Surface area = 170 cm²
1. Two containers are being filled with water. One begins with 10 gallons of water and is filled at a rate of 2.5 gallons per minute. The other begins with 24 gallons and is filed at 2.25 gallons per
minute.
Part A: Write an equation that represents the amount of water w, in gallons, with respect to time t, in minutes, for each container
Part B: Solve the system of equations. Show your work
Part C: How long would it take for both of the containers to have the same amount of water? How much water would be in each container?
Answer: PART A:
w-3.5 t=8
w-3.25t=24
PART B:
t=64
and w= 232
PART C:
It will take 64 minutes for both of the containers to have the same amount of water.
The amount of water in each container is:
232 gallons.
Step-by-step explanation:
PART A:
Let the water is filling in 't' minutes.
and 'w' denotes the amount of water in the container.
for container 1:
One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute.
The equation is given by:
or
for container 2:
The other begins with 24 gallons and is filled at 3.25 gallons per minute.
The equation is given by:
or
PART B:
on solving equation (1) and equation (2) by method of elimination we get:
subtract equation (2) by equation (1) to obtain:
t=64
and putting the value of t in equation (1) to obtain:
w= 232
PART C:
Hence it will take 64 minutes for both of the containers to have the same amount of water.
The amount of water in each container is:
232 gallons.
Step-by-step explanation:
Simplify the following
1.) 5xy - xy + 2x - 13x + 10xy - 8x
2.) -6c - (-6c) - (+6c)
3.) 0x -22x - 4(2x)
The pentagons ABCDE and JKLMN are similar. Find the length x of JK .
WILL GIVE 50 POINTS TO WHOEVER ANSWERS
Ratio remains same
[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{2}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{1}{2}[/tex]
[tex]\\ \rm\Rrightarrow x=3.2/2[/tex]
[tex]\\ \rm\Rrightarrow x=1.6[/tex]
Last week, a chocolate shop sold 5 ounces of white chocolate. It sold 1 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
Write your answer as a fraction or as a whole or mixed number.
Answer:
9.5
Step-by-step explanation:
What is the value of X
I'll give brainliest to the first one correct
Answer:
x=28.3
Step-by-step explanation:
you have 120 red beads, loo white beads, and 45 blue beads. you want to use all the beads to make a bracelet that has red, white and blue beads on each. What is the greatest number of matching beads you can make?
Answer:
24 bracelets can be made from given beads.
● Explanation -To make similar bracelets using all the beads, we have to find the highest common factor of no of beads.Now, Factors of 72 => 1, 2, 3, 4, 6, 8 , 9, 12, 18, 24, 36, 72Factors of 192 => 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192Factors of 120 => 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120HCF => 24Observing this data, HCF of 72, 192 & 120 will be 24.Therefore, total 24 bracelets can be made from given beads.* Each bracelet will have 3 red, 8 blue and 5 white beads.
The sum of two numbers is 75. Their difference is 25. What are the two numbers?
Show all work
Answer:
50 and 25
Step-by-step explanation:
y+x=75
y-x=25
y+y=yx and x-x eliminate itself
so now we have the operation 2y= 50, I got the 50 from substrating 25 from 75
now found the value of y, 50/2=25
so y=25
now plug the number in
25+x=75
75-25=50
so x= 50
Hakeem puts $53 from each paycheck into his savings account. He gets paid every two weeks or 26 times per year. His goal is to save $1,300 this year
Step-by-step explanation:
53×26=1378. hence if hakeem saves $1300 he still has about $78.
Is it impossible for a triangle to be both right and acute
Select the correct answer. Brianna begins the construction of square EGFH inscribed in circle C by drawing GH, a diameter of the circle that is also a diagonal of the square. Next, she plans to use a compass to construct a perpendicular bisector of GH and mark points E and F at the intersections of the arcs she used to find the bisector. What error, if any, is Brianna making? A. She is not making any errors. B. She should name the diameter she first drew EG and name the new segment FH. C. She should use the compass to find the perpendicular bisector of GC instead of GH. D. She should define points E and F as where the perpendicular bisector of GH intersects the circle. Reset Next
Answer:
B. "She should name the diameter she first drew EG and name the new segment FH."
Step-by-step explanation:
I REALLY NEED UR HELP PLEASE!
I need help with 4 and 5
Answer:
4) It does not represent a function because multiple outputs are equal to an input.
(i dont know for b sorry)
5) i think that means ummm:
(-6, -12)
(-3, 6)
(0, 0)
(3, -6)
(6, -12)
Step-by-step explanation:
because thats what i think. i tried my best here hope this helps!
The 225 students who passed all of their classes on the last report card will attend a one-hour Friday Fun-Day sponsored by the Parent-Teacher
Organization (PTO). A variety of activities and snacks will be provided and students will receive one prize. A random survey of 50 students was
conducted to determine how many of each prize should be purchased for the Friday Fun-Day. The results of the survey are shown.
• 28 students want a slime kit.
• 12 students want a basketball.
• 6 students want a jewelry bead kit.
• 4 students want an artist sketch pad and pencil set.
Problem
Based on the survey results, which of these is NOT a valid prediction of the prizes wanted by the 225 students?
A There are 126 students who want a slime kit.
B There are 36 fewer students that want an artist sketch pad and pencil set than a basketball.
C There are 71 students who want either a basketball or a jewelry bead kit.
D There are 27 more students who want a slime kit than all the other prizes combined.
Answer:
C. is incorrect.
Step-by-step explanation:
Calculate the percentages for each prize desired by the 50 students responding in the sample survey. See the attached image for this calculation. Multiply these percentages times the total student body of 225 students to determine the likely selection for each prize (on the attachment).
A. is correct (126 students)
B. is correct
C. is incorrect. The total is (54 + 27) = 83
D. is true
4 x 5-10 - 2 (1-2) + 5=
Answer:
[tex]17[/tex]
Step-by-step explanation:
[tex]4\cdot \:5-10-2\left(1-2\right)+5[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]=4\cdot \:5-10-2\left(-1\right)+5[/tex]
[tex]=20-10-2\left(-1\right)+5[/tex]
[tex]=20-10-\left(-2\right)+5[/tex]
[tex]20-10=10[/tex]
[tex]=10-\left(-2\right)+5[/tex]
[tex]-\left(-2\right)=+2[/tex]
[tex]=10+2+5[/tex]
[tex]10+2=12[/tex]
[tex]=12+5[/tex]
[tex]12+5=17[/tex]
[tex]=17[/tex]
p: x is an even number. If x = 3, then ~p is true or false
helpppp
Answer:
False
Step-by-step explanation:
2,4,6,8,10,12, ETC
Find the unit vector in the direction of (-2, 7).
Lets name the vector V: (-2,7)
U which is the unit vector is
[tex]u = \frac{V}{||V||} = \frac{(-2,7)}{\sqrt{(-2)^{2} +(7^2)} } } = \frac{1}{\sqrt{53} } (-2,7) = (\frac{-2}{\sqrt{51} } ,\frac{7}{\sqrt{51} } )[/tex]
Hope that helps!
H(n)=n+2
g(n) = 2n + 1
Find h(n) − g(n)
Answer:
-n + 1
Step-by-step explanation:
(n + 2) - (2n + 1)
n + 2 - 2n - 1
-n + 1
Answer:
[tex] \sf \: -n + 1 [/tex]
Step-by-step explanation:
Given information,
→ h(n) = n + 2
→ g(n) = 2n + 1
Now we have to,
→ find the value of h(n) - g(n).
Then required value will be,
→ h(n) - g(n)
→ (n + 2) - (2n + 1)
→ n + 2 - 2n - 1
→ (n - 2n) + (2 - 1)
→ (-n) + (1)
→ -n + 1
Hence, the value is -n + 1.
I need help please! I will mark you as a brainlest and give out 30 points!
How many triangles can be constructed with angles measuring 50ş, 90ş, and 40ş?.
Please solve the equation in the image shown below
Answer:
h = 6.71
Step-by-step explanation:
6^2 + b^2 = 9^2
36 + b^2 = 81
36 - 36 = 0
81 - 36 = 45
b^2 = 45
square root of 45
b = 6.71
a cone has a volume of 150.72 cubic millimeters and a height of 9 millimeters what is the radius
The volume of a cone is the amount of space in the cone
The radius of the cone is 4.00 millimeters
How to determine the radiusThe given parameters are:
Volume = 150.72 cubic mL
Height = 9 mL
The volume of a cone is calculated as:
[tex]V = \frac 13 \pi r^2h[/tex]
So, we have:
[tex]150.72 = \frac 13 \pi * r^2 * 9[/tex]
Divide
[tex]150.72 = \pi * r^2 * 3[/tex]
Divide both sides by 3
[tex]50.24 = \pi * r^2[/tex]
Rewrite the equation
[tex]50.24 = \frac{22}{7} * r^2[/tex]
Solve for r^2
[tex]r^2 = 50.24 * \frac{7}{22}[/tex]
Solve for r
[tex]r = 4.00[/tex]
Hence, the radius of the cone is 4.00 millimeters
Read more about volume at:
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lol pls help me lol. I need to get this test done in like 10-20 minutes. I will give brainlyest.
Which number is not in scientific notation? (1 point)
A.) 7 • 1024
B.) 0.8 • 103
C.) 1.09 • 10–2
D.) 1.8 • 10–5
Consider a tire with a radius of 9 inches that is rolled 150 revolutions and travels
approximately 8,482 inches.
The tire with radius of 6 inches when rolled 150 revolutions travels approximately 5654 inches.
Equation
An equation is an expression that shows the relationship between two or more numbers and variables.
A tire with a radius of 9 inches that is rolled 150 revolutions and travels approximately 8,482 inches.
For a tire with radius r and that is rolled 150 revolutions and travels approximately 5654 inches:
9/8482 = r/5654
r = 6 inches
The tire with radius of 6 inches when rolled 150 revolutions travels approximately 5654 inches.
Find out more on Equation at: https://brainly.com/question/2972832
What is an equation of the line that passes through the points (8,0) and (3,-5)?
Answer:
y = x - 8
Step-by-step explanation:
You want an equation for the line through the points (8, 0) and (3, -5).
SlopeThe slope of the line can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-5 -0)/(3 -8) = -5/-5 = 1
InterceptThe y-intercept can be found from the equation ...
b = y1 -m(x1)
b = 0 -1(8) = -8
Slope-intercept equationThe slope-intercept equation of the line is ...
y = mx +b
y = 1·x +(-8)
y = x -8 . . . . . an equation for the line
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What type of number is 0.55/0.55
Answer:
Whole number
Step-by-step explanation:
Whole number because it equals one and one is a whole number.
