Answer:
30
Step-by-step explanation:
Since this is a right angle, we can use trig functions
Cos theta = adjacent side/ hypotenuse
cos ? = 20/23
Take the inverse cos of each side
cos ^-1 (cos ?) = cos ^-1(20/23)
? =29.59184579
To the nearest degree
? = 30
7
Jackson is creating a rectangular board game that includes a diagonal line from two of the corners of the game. How long is the diagonal if the board game is 10 inches
long by 8 inches wide? Explain your reasoning. Round your answer to the nearest tenth of an inch.
Helppp
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.
4. A regular hexagon is shown below. Find the value of x. (11x + 21)
Answer:
We need the picture
Step-by-step explanation:
Dot plot 1 is the top plot. Dot plot 2 is the bottom plot.
According to the dot plots, which statement is true?
Х
The range of the data in dot plot 1 is less
than the range of the data in dot plot 2.
10
The mean of the data in dot plot 1 is
greater than the mean of the data in data
plot 2.
Х
х
The median of the data in dot plot 1 is
equal to the median of the data in dot plot
2.
The mode of the data in dot plot 1 is less
than the mode of the data in dot plot 2.
Answer:
the answer is b. The mode of the data in dot plot 1 is less than the mode of the data in dot plot 2.
Step-by-step explanation:
In the dot plots 1 and 2, the statement which is true is that the mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.
What is dot plot?The dot plot is the way oif representation of the data. This data is plooted in the form of points or dots over an x-y axis. The dot polt is also known as the strip plot.
Dot plot 1 is the top plot. The value of it are as,
2,3,4,5,5,6,6,6,6,7,7,7,8,8,9,10
Dot plot 2 is the bottom plot. The value of it are as,
1,2,2,3,3,4,4,4,5,5,5,6,6,7,8,9
The options given in the problem are,
The range of the data in dot plot 1 is less than the range of the data in dot plot 2-Range is difference between the highest and lowest value. The range of the first dot plot is,
[tex]r_1=10-2=8[/tex]
The range of the Second dot plot is,
[tex]r_2=9-1=8[/tex]
Range of dot plots are equal.
The mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.Mean of the dot plot one is 6.1875 and mean of the dot plot second is 4.625.
The median of the data in dot plot 1 is equal to the median of the data in dot plotThe median of the data in dot plot 1 is 6 and the median of the data in dot plot is 4.5. Thus they are not equal.
The mode of the data in dot plot 1 is less than the mode of the data in dot plot 2.The mode of the data in dot plot 1 is 6 and the mode of the data in dot plot 2 is 4 and 5. Thus this is not correct option.
Hence, in the dot plots 1 and 2, the statement which is true is that the mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.
Learn more about the dot plot here;
https://brainly.com/question/15853311
PLSS HELP ME TYSMMMMM
Answer:
Picture or question???????
For the rational function f(x)=(-13x-27)/(x^(2)-4x-12), F(x)=2
One number added to twice another number is 30. The sum of the numbers is 19.
Write and solve a system of equations to represent this situation.
What is the value of the smaller number?
What is the value of the larger number?
I don't understand :(
Answer:
The smaller number is 8
The bigger number is 11
Step-by-step explanation:
let the first number be A
let the second number be B
A + 2B = 30..... equation 1
A + B = 19...... equation 2
Subtract equation 2 from 1.
A + 2B = 30
- A + B = 19
-------------------
0 + B = 11
B = 11
Substitute B = 11 into equation 2
A + B = 19
A + 11 = 19
collect like terms
A = 19-11
A = 8.
A= 8 and B = 11
You work in a grocery store. How many 1/3 pound bags of coffee can you package from a 15 pound box of loose coffee?
Answer:
45
Step-by-step explanation:
Since each bag is 1/3 of a pound. That means there are 3 bags that make 1 pound. Therefore 15x3 is 45, so you could make 45 bags of coffee
calcular
a. [1/3+4] =
b. [8-15+4]=
c. 4-√81/ √36=
Answer:
a. 1/7
b. -3
c. -50
find the slope of the line passing through the points (-3,2) and (-3,-7)
Slope = change in Y / change in x
Slope = (-7 - 2) / (-3 - -3)
Slope = -9/0
Because the change in x = 0, the slope is undefined.
The answer is the slope is undefined.
The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.
v (t) = 19,900(0.86)^t
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary.
Answer:
v(0) = 19,900, v(11) = 3,787.36
Step-by-step explanation:
v(0) = 19,900 (0.86)^0 = 19,900 * 1 = 19,000
v(11) = 19,900 (0.86)^11 = 19,900 * 0.190319 = 3,787.36
-4x-2y=-12
4x+8y=-24
solve it by elimation
Answer:
(x, y) = (6, -6)
Step-by-step explanation:
A number is 4 times the sum of its digits. The units digit is two more than the tens digit. Find the number.
Answer:
24
Step-by-step explanation:
Let x = the 10's digit
Let y = the units
then
10x+y = "a number"
:
A number is 4 times the sum of its digits.
10x + y = 4(x + y)
10x + y = 4x + 4y
10x - 4x = 4y - y
6x = 3y
Simply, divide by 3
2x = y
;
The units digit is two more than the tens digit.
y = x + 2
Replace y with 2x
2x = x + 2
2x - x = 2
x = 2
then
y = 4
:
24 is the number
The two digit number is equivalent to 24.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a number is 4 times the sum of its digits. The units digit is two more than the tens digit.
Let the number be {A}. Then, we can write -
A = 10x + y ......... (1)
also
A = 4(x + y) ........... (2)
The units digit is two more than the tens digit, so we can write -
y = x + 2 .............. (3)
So, we can write -
10x + y = 4(x + y)
10x + (x + 2) = 4(x + x + 2)
11x + 2 = 8x + 8
3x = 6
x = 2
So, we can write {y} as -
y = 4
Number will be -
10 x 2 + 4
n = 24
Therefore, the number will be equivalent to 24.
To solve more questions on expressions, visit the link below -
brainly.com/question/1041084
#SPJ5
what is the speed, if distance is 900 miles and time 300 minutes
Answer:
3 mi/min
Step-by-step explanation:
speed =distance/time
900/300=3
expand the following expression by using the distributive method 7(10-3x))
Answer:
Step-by-step explanation:
7(10)-7(3x)
80-21x
Answer:
70+21x
Step-by-step explanation:
multiply the number that outside on the ( ) for the numbers that are in side
Using the pattern rule, find the missing
value in the table.
y = x + 8
input X 1
output y 9
2 3 4
10 | 11 | [?]
Enter the number that belongs in the green box.
Enter
Answer:
y=12
Step-by-step explanation:
y=x+8
9=1+8
10=2+8
and so in...
y=?
4+8=12
find the slope of the line
Answer:
-1
Step-by-step explanation:
it goes down 1 per gain of 1 on the x axis
Answer:
-1
rise over run -2/2
slope is -1
Step-by-step explanation:
- Peter's bike bill is automatically
deducting $78 from his bank
account every month. If his bank
account balance is at $234, how
many months will it take for Pete to
run out of money?
PLEASE
Divide using long division.
(x3 + 3x2 + x - 4) + (x - 1)
Answer:
2x+3x2 +x3 −5
Step-by-step explanation:
Hope this helps
Answer:
x^2 - 2x + 2
step-step explanation:
A computer game originally sold for $40 but is now on sale for 30% off. What is the sale price of the computer game?
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
30% of 40 is 12, 40-12=28, the answer is 28.
Bryson has soccer practice for 2 1/4 hours 2 times a week. How much time does Bryson spend at soccer practice in 1 week?
Answer:
15.75
Step-by-step explanation:
Solve for f
-5f +5 < 15
Question 1 options:
f < 8
f > -2
f = 3
f < 2
I NEED HELP ASAP
Step-by-step explanation:
step 1. -5f + 5 < 15
step 2. -5f < 10 (subtract 5 from each side)
step 3. f > -2 (divide both sides by -5 - dont forget to flip arrow when dividing by a negative number).
Find angle. Picture below!
Answer:
m<QRP=42degrees
m<Q=79degrees
m<P=59degrees
Step-by-step explanation:
hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute what is the initial value of the linear function that represents the situation ?
Answer:
45.
Step-by-step explanation:
Since Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute, to determine what is the initial value of the linear function that represents the situation, the following calculation must be performed:
45 (starting number) - 15(number of gallons per minute) X(minutes) = Y
Therefore, the equation would be 45 - 15X = Y, with which the initial value of the linear function that represents the situation is 45.
find ratio of 120 :80
120 : 80
= 12 : 8
= 6 : 4
= 3 : 2
This is the answer
Answer:
120/10=12
80/10=8
12/4=3
8/4=2
Nothing can further decide, then we have
3:2
Please help ASAP. Thanks so much.
Answer:
D. 1/9
Step-by-step explanation:
The x-coordinate is -1/3
Question 11 (1 point)
Evaluate the function.
Given f(x) = x2 - 5x + 5, find f(3).
Answer:
f(3) =-1
Step-by-step explanation:
f(x) = x^2 - 5x + 5
Let x=3
f(3) = 3^2 -5(3) +5
= 9 -15+5
= -6+5
=-1
The weekly production cost C of manufacturing x watches is given by the formula C = 6000 + 3x, where the variable C is in dollars.
" (a) What is the cost of producing 1000 watches?
Answer:
therefore, to produce 1000 watches , it would cost 9000 dollars.
Price : 9 dollars a watch
Step-by-step explanation:
C=6000 + 3x
what is the cost of producing 1000 watches?
first do this
C= (1000)= 6000 + 3(1000)
C= (1000)= 6000 +3000
C= 9000
Rick wants to buy a tool set with an original price of $165. Next week, the tool set will be on sale for $40 off. What is the sale
price of the tool set?
Answer:
$125 is the sale price.
Step-by-step explanation:
Answer:
24.24% off
Price of tool set: $125
Step-by-step explanation:
$40 is the price change
You can divide 40 by the original price which is 165 and then multiply by 100 to get your percentage change.
40 / 165 = 0.2424
0.2424 * 100 = 24.24
So there is 24.24% discount.
A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
How long did it take to run the entire race?
Answer:
4.2
Step-by-step explanation:
the kilometro is 5 and race is 21. 5÷21=4.2
If 3(c+d) = 5 and c = 1, what is the value of c + d?
Answer:
c+d = 5/3
Step-by-step explanation:
3(c+d) = 5
Divide each side by 3
3/3(c+d) = 5/3
c+d = 5/3
Answer:
3(1+d)=5
3×1=3
3×d=3d
:3+3d-5
3d-2
3d=2 (Devide both sides by 3)
d=2/3