Answer: The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Step-by-step explanation:
You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.
From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:
A = 90° - 40° =50°
(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)
Now, we want to find the opposite cathetus to this angle, so we can use the relation:
Tan(A) = Opposite cath/adjacent cath.
And we know that the adjacent cathetus, the tower, is 324m long.
then:
Tan(50°) = X/324m.
Tan(50°)*324m = X = 386.1m
now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.
So we have:
Tan(35°) = X/324m
Tan(45°)*324m = 226.9m
then:
The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Joshua's total monthly income is $2850. His rent is $750, his car payment is $350, his car insurance is $117, and his renters insurance is $58. How much money does Joshua have left after he pays his fixed expenses? Enter the answer as a whole number, such as: $500
Answer the question below
Answer:There are 96 apples in the 12th bag.
Step-by-step explanation:
Firstly, you add the number of apples in the 11 bags.
6+28+16+27+10=87
If the mean number of apples in the 12 bags were 8, the total number of apples are 96.
Using this info, we subtract 87 from 96 to 9.
Hence, there are 9 apples in the 12th bag.
Which exponential function has a growth factor of One-half?
f(x) = 2(0.5x)
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).
f(x) = 0.5(2x)
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-eighth, one-fourth, one-half, 1, 2.
Answer:
C f(x) = 0.5(2x)
Step-by-step explanation: I got a 96 on the the test so you can trust, unlessssss this is the one question I got wrong!!! .... It's not though so don't worry.
f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.
What is a function?A relation is a function if it has only One y-value for each x-value.
An exponential function with a growth factor of 1/2 would have 1.5^x as part of it
y=a(1+0.5)ˣ is the general term of the exponential function.
In the given functions
f(x) = 2(0.5)ˣ On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).
Hence, f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.
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50 points!!!!! Please!!!!! Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)
1 50
2 45
3 40
4 35
The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:
Function 2
y = −6x + 50
Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.
Answer:
A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Step-by-step explanation:
The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.
6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.
Hope this helps! Have a great day! :)
Answer:
The answer is A
Step-by-step explanation:
Determine which equation has the same solutions as the equation below.
4x^2 + 32x − 28 = 0
A.) (x + 4)^2 = 23
B.) 4(x + 4)^2 = 36
C.) 4(x + 8)^2 = 28
D.) (x + 8)^2 = 57
The answer is A.) (x + 4)^2 = 23
Proof that I am correct
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
d
When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?
Answer:
45 mph
Step-by-step explanation:
hope it helps!
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point -4, -3
Answer:
y=x^2+7x+12
Step-by-step explanation:
What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence? answers: A) ≅ B) No additional information is needed. C) ≅ D) ∠ACB ≅ ∠ECD
Answer:
AC congruent to EC
Step-by-step explanation:
This problem is asking specifically to prove triangles congruent using HL.
HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.
Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.
You need AC congruent to EC.
Answer:
AC congruent to EC
Step-by-step explanation: I took the test
Helllp fast please someone
Answer: -10
Step-by-step explanation:
-4 - 6 = -10
A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal
to the radius of the hemisphere removed, what volume remains of the hemisphere?
(1) 483 cubic centimeters
(2) 536 cubic centimeters
(3) 589 cubic centimeter
(4) 614 cubic centimeters
Answer:
The volume remaining is approximately 536 cm³
Step-by-step explanation:
The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:
[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]
While the volume of the cone is:
[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]
What remains on the hemisphere is the difference between these volumes, therefore:
[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]
The volume remaining is approximately 536 cm³
If you travel 200 miles in 300 minutes. How
fast did you travel in MPH...mile per hour?
Answer:
40 miles per hour
Step-by-step explanation:
Change 300 minutes to hours. There are 60 minutes to hours
300 minutes * 1 hour/ 60 minutes = 5 hours
Now take the miles and divide by hours
200 miles / 5 hours = 40 miles per hour
Answer: 40 mph
Step-by-step explanation: 300 minutes is 5 hours. 40 mph for 5 hours is 200 miles traveled.
Which is the equation of the graphed line written in standard form?
A. y=x
B. x-1/2y=0
C. x-y=0
D. y=1/2x
Answer:
The standard for of this equation is x – y = 0
Firstly, options A and D are not in standard form, so they are not options.
To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).
x – y = 0
2 - 2 = 0
0 = 0
This is true for option C. Therefore, it is correct.
hope this helps
Drive a car at a rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second? (With the work please)
Answer:
15 meters per second is equivalent to 54 kilometres per hour.
Answer:
15 meters per second
Step-by-step explanation:
BRAINLIEST FOR THE FIRST ANSWER!!! its easy but im lazy tehe Evaluate the following expression for s = 6 and t = - 8. s(6 - t) + 7(s + 1)
Answer:
133
Step-by-step explanation:
We are given the expression:
s(6-t)+7(s+1)
We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.
6(6--8) +7(6+1)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, solve inside the parentheses. Subtract 6 and -8.
6(14)+7(6+1)
Solve the other set of parentheses. Add 6 and 1.
6(14)+7(7)
Multiply 6 and 14.
84+7(7)
Multiply 7 and 7
84+49
Add 84and 49
133
Answer:
133
Step-by-step explanation:
s(6 - t) + 7(s + 1)
Plug in numbers:
6(6 - (-8)) + 7(6+ 1)
using Bedmas, solve:
Brackets first: 6(14) + 7(7)
Solve multiplication: 84 + 49
Add together: 133
8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
19.75. The apples cost 19.75 before the tax.
Step-by-step explanation:
0.97(x)=19.16
19.75
PLZ HELP GUYS I RLLY NEED HELPPP!
i rlly rlly rlly need help, i am not good at mathh! :(((((((((
Answer:
1`. y = 4x+6
2. y = -6x + 29
3. y= 3x+1
4. y = x -2
5. y = 11.5x+ 3
6. y = -2x -4
Step-by-step explanation:
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 14.6 feet and diagonal BD equal to 12.1 feet What is the area of the farm? 48.4 square feet 53.4 square feet 88.33 square feet 117.76 square feet
Answer:
88.33.. ft²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] product of diagonals , thus
A = 0.5 × 14.6 × 12.1 ≈ 88.33 ft²
Answer:
We could try another method to check, where we highlight each right angle as each is congruent from centre point.
1/2 7.3 base = 3.65 x 6.05 = 22.0825 x 4 = 88.33unit^2
Step-by-step explanation:
Please help me with 3 more questions ill give good ratings please!
Answer:
(- 32, - 16 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(- 8, - 4 ) → (4(- 8), 4()- 4)) → (- 32, - 16 )
Which of the following graphs represents exponential decay?
Answer:
C
Step-by-step explanation:
C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.
The graph of the unknown function C represents exponential decay.
The correct option is C.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
Two graphs of the unknown functions are given.
And when the value of x approaches to positive infinity,
the value of y decrease exponentially.
And from the above definition,
the graph is C.
Therefore, the graph is C.
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Multiply
X2 + 4x + 2
2x2 + 3x - 4
A. 2x4 + 11x3 + 12x2 - 10x - 8
B. 3x2 + 7x-2
C. 2x4 + 23x2 - 10x - 8
D. 2x4 + 12x2 - 8
What is the slope of the line described by the equation below?
y= x-3
A. (0,-1)
B.(0,3)
C. (0,1)
D.(0,-3)
Answer: The answer is B: (0,-3)
Step-by-step explanation: The y intercept is the value of y when x is equal to 0, so just set x=0 and find y!
y = 0-3
y=-3
( i hope this helped <3 )
Choose which one you believe doesn't belong, then explain the reason why you chose your answer above! ( thank you :) )
1. 5, 9, 13, 17, 21...
2. 5, 15, 45, 135, 405...
3. 5, 2, -1, -4, -7...
4. 10, 13, 16, 19, 22...
Answer:
2
Step-by-step explanation:
1,3,4 are arithmetic sequences
2 is a geometric sequence
Answer:
number 2
Step-by-step explanation:
i think this right.. its just because 45 doesnt come after 15 when counting by 5's.. 20 does :) hope this helps
Deandre bought 4 CDs that were each the same price. Including sales tax, he paid a total of $69.20. Of that total,was $3.60 tax. What was the price of each CD before tax?
One angle is
102 degrees, the other
is 12 degrees, What is my missing
angle? What is my first and last
name?
Step-by-step explanation:
your missing angle is
102 + 12
=114
the sum of triangle is 180 degree
180 - 114
= 66
the missing angle is 66 degree
Answer:
66 Degrees
Step-by-step explanation:
All angles equal 180 degrees so we know that :
180-102-12 =66
so the angle that is missing is 66 degrees.
A bacteria colony is quickly growing in a petri dish. The number of bacteria, y , is modeled by the function y=2(10)^2 where x is the number of days since the colony started. Baelsed on the equation how many more bacteria are there on day 4 than on day 2?
A. 19800
B. 9900
C. 159600
D. 40
Answer:
C = 159600
Step-by-step explanation:
Because its Y=2 (10) square so times by its self.
A normal distribution has a mean of μ=54 and a standard deviation of σ=6. What is the probability of randomly selecting a score less than X=51? What is the probability of selecting a Random sample of n=4scores with a mean less than m=51? What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Answer:
A)The probability of randomly selecting a score less than X=51 is 0.3085
B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
Step-by-step explanation:
Mean =[tex]\mu = 54[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?
Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{51-54}{6}[/tex]
Z=-0.5
Refer the Z table for p value
So, P(x<51)=0.3085
So,the probability of randomly selecting a score less than X=51 is 0.3085
B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]
Z=-1
Refer the Z table for p value
So, P(x<51)=0.1587
So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]
Z=-3
Refer the Z table for p value
So, P(x<51)=0.0013
So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
In rectangle WXYZ, A is on side WX such that AX = 4, B is on side YZ such that BY = 18, and C is on side XY such that angle ACB= 90 degrees and CY = 2CX. Find AB.
Answer:2*sqrt(130)
Step-by-step explanation:[tex]From right triangle $AXC$, we have $\angle XAC = 90^\circ - \angle XCA$. We also must have $\angle YCB + \angle ACB + \angle XCA = 180^\circ$, so $\angle YCB = 180^\circ - 90^\circ - \angle XCA = 90^\circ - \angle XCA$, which means $\angle YCB = \angle XAC$. Combining this with $\angle X = \angle Y$, we have $\triangle XCA \sim \triangle YBC$ by AA Similarity, and\[\frac{CX}{AX} = \frac{BY}{CY},\]so\[\frac{CX}{4} = \frac{18}{2CX}.\]\\\\This gives us $2CX^2 = 72$, so $CX^2 =36$ and $CX=6$. \\\\\\\\[/tex][tex]Therefore, $CY = 12$.Applying the Pythagorean Theorem to right triangles $XCA$ and $CYB$ gives us\begin{align*}CA^2 &= XA^2 + XC^2 = 16 + 36 = 52,\\BC^2 &= CY^2 + BY^2 = 144 + 324 = 468.\end{align*}Applying the Pythagorean Theorem to right triangle $ABC$ gives\[AB = \sqrt{AC^2 + BC^2} = \sqrt{52 + 468} = \sqrt{520} = \boxed{2\sqrt{130}}.\](We can also compute $AB$ by dropping a perpendicular from $A$ to $\overline{YZ}$, which creates a right triangle.)[/tex]
The length of the side AB from the figure is approximately 22.8.
Given a rectangle WXYZ.
Consider triangles ΔACX and ΔBCY.
∠AXC = ∠BYC
Also, ∠CAX + ∠ACX = 180° - 90°
So, ∠CAX = 90° - ∠ACX [Equation 1]
Given that ∠ACB = 90°
Also, ∠ACX, ∠ACB, and ∠BCY form linear angles.
So, ∠ACX + ∠ACB + ∠BCY = 180°
So, ∠ACX + 90° + ∠BCY = 180°
∠ACX + ∠BCY = 90°
∠BCY = 90° - ∠ACX [Equation 2]
From [Equation 1] and [Equation 2], ∠CAX = ∠BCY
By AA similarity, triangles ΔACX and ΔBCY are similar.
So, the corresponding sides are proportional.
AX / CY = CX / BY
4 / 2CX = CX / 18
(CX)² = 36
CX = 6
Now, using the Pythagoras theorem:
AC = √(4² + 6²) = √52
BC = √(18² + 12²) = √468
So, AB = √(√52)² + (√468)²
= √520
≈ 22.8
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Drag each tile to the correct box. Match the expression to the exponent property that you use first to simplify the expression.
sorry i did the best i could
Please help with my Algebra What is the solution to the system of equations? {6x−2y=−144x−3y=−31
Answer:
(x , y)=(-31/306 , 775/51)
Step-by-step explanation:
6x-2y=-144x-3y=-31
Write as a system of equations.
6x-2y=-31
-144x-3y=-31
Multiply both sides of the equation by 24.
144x-48y=-744
-144x-3y=-31
Sum the equations vertically to eliminate at least one variable.
-51y=-775
Divide both sides of the equation by -51.
y=775/51
Substitute the given value of y into the equation 6x-2y=-31.
6x-2x775/51=-31
Solve the equation for x.
x=-31/306
The possible solution of the system is the ordered pair (x , y).
(x , y)=(-31/306 , 775/51)
How to make 24 using 13,6,9,3