Answer:
no, it is not
if it were a right triangle, 10² + 17² = 18²
but this is not the case
Step-by-step explanation:
we would use Pythagoras theorem to determine if it is a right angle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 17² =
100 + 289 = 389
square root of 389 is 19.72 and not 18. thus, it is not a right triangle
HELP PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ
Answer:pretty sure B and E
Step-by-step explanation:
Nadia thinks of a number she finds the squre root and the divides it by 5 her answer is 20 what number is she thinking of
Answer:
10000
Step-by-step explanation:
Let the number = x
Square root of x divided by 5 equals 20
√x / 5 = 20
Using cross multiplication
√x = 20 * 5
√x = 100
Take the square of both sides
(√x)² = 100²
x = 10000
Therefore, the number is 10000
Factor the following quadratic function to find the zeros.
Answer:
Answer is A.
Step-by-step explanation:
x^2-15x-16
x^2+x-16x-16
x(x+1)-16(x+1)
(x+1)(x-16)=0
x=-1 and x=16
HELP PLEASE I NEED IT LIKE NOW ILL GIVE BRAINLEST
Answer:
42
Step-by-step explanation:
Since the scale factor is , we know that the bigger shape went to the smaller shape.
If we know that the smaller shape's side, 12, is of the bigger one, we can make the equation
.
To solve for x, we can divide both sides by .
We can multiply by the reciprocal:
Hope this helped!
= Simplify the following algebraic expressions given below into their equivalent standard forms.
(x + 10)(x + 10)
Answer:
https://tex.z-dn.net/?f=(x%2B10)%5E%7B2%7D%20
Step-by-step explanation:
Find 87% of 365
To find this answer, you would
Answer:
317.55
Step-by-step explanation:
87% = 87/100 so
(87*365)/100 = 317.55
Mrs. Sanchez promised each of her 35 fifth grade students one fourth of a pie for Pi Day (March 14th). There are 6 pies left at Costco. Does she have enough for her 35 students? Explain how you know. If she doesn't have enough, how many more pies does she need?
Answer: No, she needs 3 more pies.
Step-by-step explanation:
Hi, no she does not have enough pie, you would know by multiplying the amount of pies she has by 4, as she promised to give them 1/4 of a pie each, leaving her to only have 24 pieces in toShe would need at least 9 pies to have enough for all 35 students, plus an additional 1/4 sized slice left over.
In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
Note: The unit for Force (the Newton) is measured in .
Answer:
2.2
Step-by-step explanation:
if force equals mass times acceleration then you divide 7.92(the force) by 3.6(the mass) to find out what would be multiplied by 3.6 to get 7.92.
Sorry if I'm wrong.
The acceleration of an object with F=7.92 newtons and m=3.6 kilograms is 2.2 m / s²
What is force:Force is a pull or push upon an object that causes motion .
Mathematically, force is express as follows:
F = ma
where
m = mass
a = acceleration
Force is measured in Newton.
Let's find the acceleration of an object with F =7.92 newtons and m = 3.6 kilograms.
7.92 = 3.6a
divide both sides by 3.6
a = 7.92 / 3.6
a = 2.2 m / s²
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$8,000 was deposited into an account that was compounded annually at 6% interest over 7 years. How much interest was earned on the account? Interest=(
Answer:$4029
Step-by-step explanation:
Given
Principal amount [tex]P=\$8000[/tex]
Interest rate [tex]R=6\%[/tex]
Time period [tex]T=7\ yr[/tex]
Amount after T years is given by
[tex]A=P[1+R\%]^T[/tex]
Put values
[tex]\Rightarrow A=8000[1+0.06]^7\\\Rightarrow A=\$12,029[/tex]
Interest is the difference of amount and principal, that is
[tex]\Rightarrow C.I.=12,029-8000=\$4029[/tex]
For all three water parks the cost of a function of numbers of right compare the functions for all three water parks in terms of the rate and change describe the impact it has on the total cost of the attending of each park
Answer:
See Explanation
Step-by-step explanation:
Given
See attachment for complete question
First, we determine the cost function for all the three rides.
Ride A
From the graph, we have the following points
[tex](x_1,y_1) = (0,8)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
Calculate slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12-8}{2-0}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m =2[/tex] --- This represents the rate per ride
The equation is the calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 2(x - 0) + 8[/tex]
[tex]y = 2(x) + 8[/tex]
[tex]y = 2x + 8[/tex]
So, the cost function is:
[tex]C(x) =2x + 8[/tex]
Calculate the cost of admission i.e. x=0
[tex]C(0) = 2*0+8 = 8[/tex]
So, we have:
[tex]C(0) = 8[/tex] --- Admission Charge
[tex]C(x) =2x + 8[/tex] --- Cost function
[tex]m =2[/tex] --- Rate per ride
Ride B
From the table, we have the following points
[tex](x_1,y_1) = (0,12)[/tex]
[tex](x_2,y_2) = (4,15)[/tex]
Calculate slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{15-12}{4-0}[/tex]
[tex]m = \frac{3}{4}[/tex]
[tex]m = 0.75[/tex] --- This represents the rate per ride
The equation is the calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 0.75(x - 0) + 12[/tex]
[tex]y = 0.75(x) + 12[/tex]
[tex]y = 0.75x + 12[/tex]
So, the cost function is:
[tex]C(x) = 0.75x + 12[/tex]
Calculate the cost of admission i.e. x=0
[tex]C(0) = 0.75*0 + 12=12[/tex]
So, we have:
[tex]C(0) =12[/tex] --- Admission Charge
[tex]C(x) = 0.75x + 12[/tex] --- Cost function
[tex]m = 0.75[/tex] --- Rate per ride
Ride C
No additional fee;
So, the cost function is;
[tex]C(x) = 30[/tex]
In summary, we have:
Ride A
[tex]C(x) =2x + 8[/tex] --- Cost function
[tex]m =2[/tex] --- Rate per ride
Ride B
[tex]C(x) = 0.75x + 12[/tex] --- Cost function
[tex]m = 0.75[/tex] --- Rate per ride
Ride C
[tex]C(x) = 30[/tex] --- Cost function
By comparison
Ride A has the highest rate per ride of (#2), followed by ride B with a rate of #0.75 per ride.
Ride C has no charges per ride
The impact on the total cost is that:
Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take
Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take
For A and B, the overall cost depends on the number of rides taken.
Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30
Find the measures of the interior angles of the triangle. Help plz
Answer:
A=65
B=40
C=75
Step-by-step explanation:
C= 180-65-40
=75°
Solve the equations with variable on both sides: 8x=10x + 20 A. X= -10 B. X= -35 C. X= -23 D. X= -40
The correct answer is A
A) [tex]8(-10)=10(-10)+20[/tex] becomes [tex]-80 = -80[/tex]
B) [tex]8(-35)=10(-35)+20[/tex] becomes [tex]-280 \neq -330[/tex]
C) [tex]8(-23)=10(-23)+20[/tex] becomes [tex]-184 \neq -210[/tex]
D) [tex]8(-40)=10(-40)+20[/tex] becomes [tex]-320\neq -380[/tex]
Help!!!! please!!!! Ill give brainliest!!!
Answer:
a
Step-by-step explanation:
hope this help u and hope u get a good grasde :}
Answer:
A) x < 9
Step-by-step explanation:
Here we have an open circle. Open circles are used for greater than signs (>) and less than signs (<).
Since we have an open circle, we can eliminate option C and option D.
Now, we look at the number line.
The point is at 9, and the line from the point is going towards the left (where the smaller numbers are.)
9 is greater than every number is going toward.
**Let x represent every number is going toward.**
Therefore, x < 9.
If you place a 39-foot ladder against the top of a building and the bottom of the
ladder is 33 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
The ladder and the top of the building form a right triangle
The building is 20.8 feet tall
`How to determine the height of the building?The given parameters are:
Length of ladder, L = 39 feetHorizontal distance (b) = 33 feetThe height (h) of the building is calculated using the following Pythagoras theorem
L^2 = b^2 + h^2
So, we have:
39^2 = 33^2 + h^2
Evaluate the exponent
1521 = 1089 + h^2
Rewrite as:
h^2 = 1521 - 1089
h^2 = 432
Take the square root of both sides
h = 20.8
Hence, the building is 20.8 feet tall
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OMLLLL PLS HELP LOLLL OMG!
Diana invests $4000 for two years at a rate of 2.5%. How much interest will she earn?
a
$200
b
$4200
c
$20
d
$2,000
Answer:
D: $2,000
Step-by-step explanation:
If im wrong contact me at Mousycritter#2842 on discor.d if you seek more help
Two sides of a triangle measure 5 in. and 12 in. Which could be the length of the third side? O 3 in. O 6 in. O 10 in. O 18 in.
I need help rigth now brainly is not working
Answer:
10 would be the answer.
Step-by-step explanation:
what are the solution to 2logx=log(2x+3)
can someone explain how this is done?
Answer:
Just put in the values in the equation for example 4(1)-5<7 and solve it if the eqution is true at the end than that the right answer
Step-by-step explanation:
Answer:
x = 2
x < 2
x < 3
Step-by-step explanation:
2x + 5 = 9
Since there is an addition sign in front of 5, you must do the opposite: subtraction. Subtract 5 from 9.
9 - 5 = 4.
Lastly, divide the difference by the number in front of x (2).
2x = 4
4 ÷ 2 = 2
x = 2
--------------------------------------------------------------------------------------------------------------
2x + 5 < 9
Again, subtract 5 from 9.
9 - 5 = 4
Lastly, divide the difference by the number in front of the x (2).
2x = 4
4 ÷ 2 = 2
x < 2
--------------------------------------------------------------------------------------------------------------
4x - 5 < 7
Since there is a subtraction sign in front of the 5, you must do the opposite: addition. Add 5 to 7.
5 + 7 = 12
Lastly, divide the sum by the number in front of the x (4).
4x = 12.
12 ÷ 4 = 3
x < 3
Adan has 1/4 quart of milk. If he pours the same amount of milk into 3 glasses, each glass will contain ___ qaurt of milk
Answer:
each glass would contain 1/12 quart of milk
Step-by-step explanation:
1/4 divided by 3 is 1/12, so each glass would contain 1/12 quart of milk
A football field measures 300 feet in length. It can also be expressed as approximately
5.7 x 10^n .
If there are 5,280 feet in 1 mile , which is the most reasonable value of n.
Answer: n=-2
Step-by-step explanation:
Given
The length of the football field is [tex]300\ ft[/tex]
In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]
Also, [tex]5280\ ft=1\ mile[/tex] or
[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]
converting [tex]300\ ft[/tex] to miles
[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]
Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]
we get [tex]n=-2[/tex]
2 CDs and 9 DVDs cost £69. 2 CDs and 6 DVDs cost £48. i. Form a pair of simultaneous equations to represent these two sentences ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Answer:
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
Step-by-step explanation:
Let us represent:
Cost of 1 CD = x
Cost of 1 DVD = y
i. Form a pair of simultaneous equations to represent these two sentences
2 CDs and 9 DVDs cost £69.
2x + 9y = 69.... Equation 1
2 CDs and 6 DVDs cost £48.
2x + 6y = 48..... Equation 2
ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Combining both equations together:
2x + 9y = 69.... Equation 1
2x + 6y = 48..... Equation 2
We substract Equation 2 from Equation 1
3y = 21
y = £7
Solving for x using Equation 1
2x + 9y = 69.... Equation 1
2x + 9 × 7 = 69
2x + 63 = 69
Collect like terms
2x = 69 - 63
2x = 6
x = 6/2
x = £3
Therefore,
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
simplify using laws of exponents. Write your asnwer using positive exponents
Answer: look at image below. it shows you the steps
Step-by-step explanation:
Hope this helped :)
Find the equation of the line shown
Answer:
nhjkjhhjjjfghlkajshdii
Step-by-step explanation:
kjkkkk
Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft
High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given trigonometric function is y=23-5cos(πt/6).
The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.
To find the high and low tide depths, we need to find the maximum and minimum values of y.
The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.
The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.
To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.
When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.
When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.
Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.
Therefore, option B is the correct answer.
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The Clinton family is building a circular swimming pool. If the radius of the pool is 5 feet, what is its circumference? Use π = 3.14 to solve.
Formula:2 pi R
R=5
5*2=10
3.14*10=34.1
The circumfrence is 34.1
34.1
what is 6/7 of2/3? pls help
\
Answer:
4/7
Step-by-step explanation:
HELP I HAVE 5 MIN
what is x?
Answer:
x = 42
Step-by-step explanation:
i hope this helps :)
HELP PLS
you just have to solve the inequality but I’m not smart and don’t know how
A small box can hold 5 chocolates and a big box can hold 12 chocolates. A factory produces 600 chocolates and packs them into boxes.
A. Write and equation to describe the situation.
B. If the factory owner uses 40 big boxes, how many small boxes does he use?
Answer:
Answer to B - 20
480 + 96 = 600
Step-by-step explanation:
12 x 40 = 480
5 x 4 = 20
find the means 01023 234
Answer:
This is not really clear, I will assume that the values in the question are:
{0, 1, 0, 2, 3, 2, 3, 4}
For a set of N elements, {x₁, x₂, ..., xₙ}
The mean of the set is given by:
[tex]Mean = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In the case of our set, {0, 1, 0, 2, 3, 2, 3, 4}, we have 8 values.
Then the mean of our set is:
[tex]Mean = \frac{0 + 1 + 0 + 2+ 3 + 2 + 3 + 4}{8} = \frac{15}{8} = 1.875[/tex]