Answer:
Width of the box = 18.97 inches
Step-by-step explanation:
Length of the bat = 36 inches.
That means length of the diagonal of the bat (BC) = 36 inches
By applying Pythagoras theorem in right triangle BDC,
BC² = BD² + CD²
BC² = (30)² + w² -------(1)
BY applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
(36)² = 6² + BC²
By substituting the value of BC from equation (1),
(36)² = 6² + (30)² + w²
1296 = 36 + 900 + w²
w² = 1296 - 936
w = √360
w = 18.97 inches
Brainliest for correct answer! :)
Answer:
Mode: 44 (mode is biggest number)
Mean: 30 (the average between numbers)
Step-by-step explanation:
Calculating the Mean
44 + 43 = 87
25 + 8 = 33
87 + 33 = 120
120 + 30 = 150
150/5 = 30
To print tickets, a printer charges a $30 setup fee plus $1.05 per ticket. Write an algebraic expression for the cost of t tickets. What is the cost of 300 tickets?
an explanation 2 plz thx
Answer:
Solution given:
we have
setup price =$30
as rate for 1 print tickets =$1.05/tickets
so
for t
t=$30+$1.05*t
is a required expression.
the
cost of 300 tickets:
300 tickets =$30+$1.05*300=$345
$345is the cost of 300 tickets.
someone help please I'm having a hard time understanding
Answer:
the angle shown is a straight angle value of which is equal to 180°
3x + 30. 6 = 180
3x = 180 - 30. 6
3x = 149.4
x = 49.8A designer builds a model of a sports car. The finished model is exactly the same shape as the original, but smaller. The scale factor is 2:15
Answer:
[tex]Ratio = 2 : 15[/tex]
Step-by-step explanation:
Given
[tex]k = 2 : 15[/tex] --- scale factor
Required [missing from the question]:
The ratio of width of the model to the original
From the question, we understand that the scale factor is: 2 : 15
The ratio of the width of the model to the original equals the given scale factor i.e.
[tex]Ratio = 2 : 15[/tex]
Please help me with this one??
Answer:
Y =-25x +225
Step-by-step explanation:
First you can count the gradient first. Use then you can count y intercept
Evaluate: 4x(5+3)=8-2
A 2
B 8
C 12
D 15
Answer:
The answer to the problem is 15.
Find the measure of the missing angle.
A
43°
Help ASAP plz
Answer:
47
Step-by-step explanation:
The missing angle is complementary to the angle shown and together they from 90.
Your missing angle is 90 - 43
The young mathematician is presented with this problem: (13 + 7) x (5 - 3) / 4 x (1 + 1) = Which operation would the young mathematician do first?
The division
The subtraction
Those inside parentheses
The multiplication
Those inside the parentheses. Rember pemdas or Parentheses Exponets Multiple Divide Add Subtract in that order from left to right
help!! What is 78,400,000 expressed in scientific notation?
A. 78.4 x 10
B. 7.84 x 10
C. 78.4 x 10
D. 784 x 10
Find the indicated limit, if it exists.
Answer:
[tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Constant]: [tex]\displaystyle \lim_{x \to c} b = b[/tex]
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Limit Property [Addition/Subtraction]: [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]
Step-by-step explanation:
*Note:
When you graph the function, the left-hand and right-hand limit does equal the same.
Step 1: Define
[tex]\displaystyle f(x) = \left \{ {{x + 9, x < -8} \atop {-7 - x, x \geq -8}} \right.[/tex]
Step 2: Find Limit
Substitute in function [Limit]: [tex]\displaystyle \lim_{x \to -8} f(x) = \lim_{x \to -8} (-7 - x)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to -8} f(x) = -7 - (-8)[/tex]Simplify: [tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
720
Step-by-step explanation:
This is a permutation of 10 choose 3
10 ! 10!
----- = ------------ = 10*9*8 = 720
(10-3)! 7!
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 90 grams, how long would it be until the mass of the sample reached 62 grams, to the nearest tenth of a year?
Answer:
The mass of Element X will reach 62 grams in 7.0 years.
Step-by-step explanation:
We can find the time of decay of Element X by using the exponential decay equation:
[tex] \frac{dm}{dt} = -\lambda t [/tex]
The solution of the above equation is:
[tex]m_{(t)} = m_{0}e^{-\lambda t}[/tex] (1)
Where:
t: is the time =?
λ: is the decay constant
[tex]m_{(t)}[/tex]: is the mass at time t = 62 grams
[tex]m_{0}[/tex]: is the initial mass = 90 grams
First, we need to calculate λ
[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex] (2)
Where [tex]t_{1/2}[/tex] is the half-life = 13 years
By entering equation (2) into (1) and solving for "t" we have:
[tex]\frac{m_{(t)}}{m_{0}} = e^{-\frac{ln(2)}{t_{1/2}}*t}[/tex]
[tex]ln(\frac{m_{(t)}}{m_{0}}) = -\frac{ln(2)}{t_{1/2}}*t[/tex]
[tex]t = -ln(\frac{m_{(t)}}{m_{0}})(\frac{t_{1/2}}{ln(2)}) = -ln(\frac{62}{90})(\frac{13}{ln(2)}) = 7.0 y[/tex]
Therefore, the mass of Element X will reach 62 grams in 7.0 years.
I hope it helps you!
An amount of $45,000 is borrowed for 13 years at 6.75% interest, compounded annually. If the loan
paid back
Use the calculator provided and round your answer to the nearest dollar,
Answer:
$104850
Step-by-step explanation:
Given data
Principal= $45,000
Time = 13 years
Rate= 6.75%
the compound interest expression is
A= P(1+r)^t
A=45000(1+0.0675)^13
A= 45000(1.0675)^13
A= 45000*2.33
A= $104850
Hence the final amount will be $104850
PLEASE PLEASE HELP I REALLY NEED THIS!! THANK YOU
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Answer:
12 right 6 up (12,6) and 3:1 or 3
Step-by-step explanation:
Question 9 The spinner pictured is spun 100 times and lands in sector A 40 times. What is the experimental probability of the spinner landing on the sector labeled A? NEED ANSWER ASAP FOR A TEST
Identify a, b and c in the quadratic equation.
-x2 + 31x + 7 = 0
Answer:
a is -1
b is 31
c is 7
Step-by-step explanation:
-x^2+31x+1=0
ax^2+bx+c=0
ASAP WILL GIVE BRAILIEST!!!
Answer:
Step-by-step explanation:
6^10 can also be written as
b.6^8.6^2
6^8+2
610
d.(6^10)^1
6^10*1
6^10
Answer:
B and d are correct because does are the only two that equal 6^10 ( or 60466176 )
Step-by-step explanation:
Answer each question and round your answer to the nearest whole number
Answer:
New width = 12 in.
Step-by-step explanation:
Original height = 2 in.
Original width = 3 in.
New height = 8 in.
New width = x = ?
The shape of the original painting and the shape of the new painting are similar, therefore, the ratio of their corresponding linear measurement will be equal.
Thus:
New height/original height = new width/original width
8/2 = x/3
Cross multiply
2x = 3*8
2x = 24
2x/2 = 24/2
x = 12
New width = 12 in.
Answer PLSSS..................
rectangle = 3 x 2 = 6 cm2
cirrel = pier2 = 3.14 x 7 x 7 = 3.14 x 49 = 153.86 cm2
153.86 - 6 = 147.86cm2
what is the solution of 1
In right triangle ABC, a = 7, b = 9 and
Answer: the answer is 63,ABC
Step-by-step explanation:
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
what is the value of (-35) divided by (5/7)?
Answer:
-49
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
estimate a 15% tip for a 19.80 meal.
Answer:
$3.00
Step-by-step explanation:
The tip would equal to $2.97 so the answer is $3.00 that is your estimate
There are 2 quarters, 1 nickel, and 2 dimes in a pocket.
What is the probability of choosing a coin, not returning it to the pocket, and then choosing another of greater value?
A ^3 10
B ^6 25
C ^4 10
D ^8 25
Answer:
C
Step-by-step explanation:
[tex]20\% of gh 200 [/tex]
Answer:
answer
I think it's 40...
[tex]20\% \: \bold{of} \: 200 \\ \\ = \frac{20}{100} \times 200 \\ \\ = \frac{20}{ \cancel{100}} \times \cancel{200} \\ \\ = 20 \times 2 \\ \\ = 40[/tex]
Hope This Helps You ❤️Niveen makes muffins and sells them for $0.65 each. To make 12 muffins, she must spend $5.25 on muffin mix, $0.75 on vegetable oil, and $0.87 on eggs. The smallest batch of muffins Niveen can make is 12 muffins.
what would result in Niveen earning a profit?
Answer:
selling 36 muffins at a discount rate of 10% off the original price
Step-by-step explanation:
The function y=15,000(1.10)xmodels the cost of annual tuition at a local college, x years after 2000. How much will tuition be in 2025?
Answer: [tex]162,520.588[/tex]
Step-by-step explanation:
Given
The function [tex]y=15,000(1.1)^x[/tex] models the cost of tuition fees after year 2000
In year 2025 that is 25 years after 2000, fees can be given as
[tex]\Rightarrow y=15,000(1.1)^{25}\\\Rightarrow y=15,000\times 10.834\\\Rightarrow y=162,520.588[/tex]
Thus, the fees in year 2025 is [tex]162,520.588[/tex].
What is the m_ACB?
O 10°
B.
0 50°
(4x)
O 90°
O 180°
(7x-20)
С
Answer:
180
Step-by-step explanation:
90 + 4x + 7x - 20 equals to 180
Answer:
B. 50
Step-by-step explanation:
41. Steven wants to buy a $535 bicycleSteven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
Answer:
17 weeks of deposits will pay for his bike and his sister
Step-by-step explanation: