Sum of all three angles inside a triangle = 180°
Total number of parts = 3 + 10 + 7 = 20
Each part = 180 ÷ 20 = 9
Let us name the three angles of this triangle as ∠1 , ∠2 and ∠3 respectively .
Number of parts for ∠1 = 3 parts
∠1 = 3 × 9 = 27°
Number of parts for ∠2 = 10 parts
∠2 = 10 × 9 = 90°
Number of parts for ∠3 = 7 parts
∠3 = 7 × 9 = 63°
The three angles of this triangle measure 27° , 90° and 63° respectively
Measure of the smallest angle = 27°
Therefore , the measure of the smallest angle = 27° .
Calculate the standard deviation. Variance = 107.76. Mean = 34.2
(Round up to the second decimal point.)
Answer:
The standard deviation is 10.38
Step-by-step explanation:
Given;
Variance, v = 107.76
mean, x = 34.2
The standard deviation is given by;
standard deviation = √variance
standard deviation = √107.76
standard deviation = 10.381
standard deviation = 10.38 (two decimal places)
Therefore, the standard deviation is 10.38
Evaluate 5/-1 x -2/3 - 4/-3 writing your answer in simplest form
Answer:
-5x - 2
Step-by-step explanation:
Will give brainliest
Answer:
Look below. Just add hkw many places there are
Step-by-step explanation:
Ex 2.3(4.5) = (.3 .5) so two decimal places thank you:)))))
Answer:
he is right man
Step-by-step explanation:
What is the first step in solving this equation? 2x - 5 = -17.4
Answer:
Step-by-step explanation:
1.Add 5 to both sides.
2. Divide both sides by 2.
Answer:
you need to find X fist then take 2 times x and the subtract it by five to get -17.4
Step-by-step explanation:
does A line segment always contains a line?
Answer:
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints
Step-by-step explanation:
line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.
Eric, Peyton and Nathan go to a Chinese restaurant from lunch and order three different platters. Eric orders 2 portions of fried rice and 1 portion of chow mien. Peyton ordered 1 portion of fried rice, 1 portion of chow mien and 1 portion of sauteed broccoli. Nathan ordered 1 potion of sauteed broccoli and 2 portions of chow mien. Eric paid $5, Peyton paid $5.25 and Nathan paid $5.75 for their meals. How much does each item cost? *
Answer:
Fried rice is $2.25Chow mien is $2.75Sauteed broccoli is $0.25Step-by-step explanation:
Step 1: Create expressions
Assume that fried rice is x
Assume that chow mein is y
Assume that sauteed broccoli is z
Expression for Eric's order would be;
x + y = 5
Expression for Peyton's order would be;
x + y + z = 5.25
Expression for Nathan's order would be;
2y + z = 5.75
Step 2: Express in like terms
Now express z and x in terms of y so that we can solve for y;
2y + z = 5.75 x + y = 5
z = 5.75 - 2y x = 5 - y
Step 3: Solve variables
Solve for y
x + y + z = 5.25
(5 - y) + y + (5.75 -2y) = 5.25
5 + 5.75 - 2y = 5.25
10.75 - 2y = 5.25
2y = 10.75 - 5.25
2y = 5.5
y = $2.75
Solve for x;
x = 5 - y
= 5 - 2.75
= $2.25
Solve for z;
= 5.75 - 2y
= 5.75 - 2 * 2.25
= $0.25
Fried rice is $2.25
Chow mien is $2.75
Sauteed broccoli is $0.25
What is the perimeter, in units, of polygon PQRSTU? Enter your answer in the box.
y
5
o
Р
3
R
s
1
o
Х
5
3
1
1
1
3.
5
T
3.
-5
Answer:
24 units
Step-by-step explanation:
Perimeter of Polygon PQRSTU = sum of all its side lengths = PQ + QR + RS + ST + TU + PU
PQ = |-4 -(-2)| = 2 units
QR = |4 - 2| = 2 units
RS = |-2 - 2| = 4 units
ST = |2 -(-2)| = 4 units
TU = |2 -(-4)| = 6 units
PU = |4 - (-2)| = 6 units
Perimeter of Polygon PQRSTU = 2 + 2 + 4 + 4 + 6 + 6 = 24 units
Answer:
24 units
Step-by-step explanation:
2+2+4+6+2=24
pleas yall help me
pleas
Answer:
i think its A and D
Step-by-step explanation:
A blueprint for a building includes a rectangular room that measures 3 inches long and 7.5 inches wide The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building?
3 · 7.5 = 22.5: 22.5 is the area of the building on the blueprint in inches
22.5 · 10 = 225 feet squared is the area of the building in real life.
hope this helped!
HELP PLZ!
Is this graph of a function?
Yes or no
Find the slope of the line that is perpendicular to the line that passes through the points (5,2) and (8,1)
Answer:
3
Step-by-step explanation:
The slope of the line passing through the points is
m = (y2-y1)/(x2-x1)
= ( 1-2)/(8-5)
= -1/3
The slope that is perpendicular is the negative reciprocal which is
- ( 1/(-1/3)
+ 3/1
The perpendicular slope is 3
Factor the expression completely.
8x -12
Answer:
x=1.5
Step-by-step explanation:
You divide 8 by 8 and then -12 by 8. And then you get x=-1.5 because 8 divided by 8 is zero and -12 divided by 8 is -1.5
Evaluate 8+3e when e=2
Answer:
14
Step-by-step explanation:
8 + 3e
e = 2
substitute in the given value
8 + 3(2)
simplify
8 + 6
14
Answer: 14
Step-by-step explanation: Here, we have the expression 8 + 3e
and we want to evaluate the expression when e = 2.
To evaluate an expression, we simply plug the
value of the variable into the expression, and solve.
So here, since e = 2, we have 8 + 3(2).
3(2) is equal to 6 so we have 8 + 6, which is equal 14.
It’s a good idea to get into the habit of using parentheses
when substituting numbers in for variables.
So the value of our expression when e = 2 is 14.
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.
Listed below are selling prices (dollars) of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine. Are the resulting statistics representative of the population of all TVs that are 60 inches and larger? If you decide to buy one of these TVs, what statistic is most relevant, other than the measures of central tendency?
1550 1650 1600 1650 1500 1200 1650 1800 1200 1050 1650 1850
Answer:
Step-by-step explanation:
a) Mean the sum total of the given variables divided by the sample size given.
Mean = (Σx)/N
Σx = 1550 +1650 +1600 +1650 +1500 +1200 +1650+ 1800+ 1200 +1050 +1650+ 1850
Σx = 18,350
N = 12
Mean = 18,350/12
Mean = 1529.17
b) Median is the data at the middle if the given dataset after rearrangement. Arrangement can either be in ascending or descending order.
Rearranging the dataset in ascending order of magnitude.
1050 1200 1200 1500 1550 (1600 1650) 1650 1650 1650 1800 1850
It is seen that two values 1600 and 1650 are values that falls in the middle, hence we will take their average.
Median = 1600+1650/2
Median = 1625
c) Mode is the value in the dataset that occur the most i.e value with the highest frequency. According to the data only 1650 occurs 4 times, hence the mode of the data is 1650.
d) Midrange of the data is the average of the highest values and the Lowest value.
Midrange = Maximum value+Minimum value/2
Max value = 1850
Min value = 1050
Midrange = 1850+1050/2
Midrange = 2900/2
Midrange = 1450
4) No, the resulting statistics are not representative of the population of all TVs that are 60 inches and larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine, therefore we can conclude that, the dataset is representative of the best type of TVs that are 60 inches and larger and not all the sets of TVs
- The measure of dispersion relevant is the STANDARD DEVIATION other than the measures of central tendencies above because it shows how the selling prices of the different best TVs varies especially that of variation from the mean.
what do you divide -81 to get +81?
Solving the equation
Answer:
y = 5
Step-by-step explanation:
Step 1: Write equation
-(4y + 2) - (-3y - 6) = -1
Step 2: Solve for y
Distribute: -4y - 2 + 3y + 6 = -1Combine like terms: -y + 4 = -1Subtract 4 on both sides: -y = -5Divide both sides by -1: y = 5Step 3: Check
Plug in y to verify it's a solution.
-(4(5) + 2) - (-3(5) - 6) = -1
-(20 + 2) - (-15 - 6) = -1
-22 - (-21) = -1
-22 + 21 = -1
-1 = -1
At midnight, the temperature was -8F. At noon, the temperature was 23F. Which expression represents the increase in temperature?
Solve the equation. Then check your solution. 6 = negative 2 (10 n + 7)
n = - 1
Step-by-step explanation:Hi !
6 = - 2(10n + 7)
6 = - 20n - 14
20n = - 6 - 14
20n = - 20
n = - 20 : 20
n = - 1
6 = - 2(10×-1 + 7)
6 = - 2(-10 + 7)
6 = - 2(-3)
6 = 6 (true)
Good luck !
Answer:
n = -1 OR -1 = n
Step-by-step explanation:
6 = -2(10n +7)
First we remove the brackets by multiplying the inner numbers by -2
6 = -20n - 14
Then we add 14 on both sides
20 = -20n
We make n the subject and divide both sides by -20
n = -1 OR -1 = n
Janelle can paint 4/5 of a picture in 2/7 of an hour how many can she pain in a full hour
Answer:
2 4/5 pictures
Step-by-step explanation:
We can use a ratio to solve
4/5 picture x picture
-------------- = -------------
2/7 hour 1 hour
Using cross products
4/5*1 = 2/7x
Multiply each side by 7/2
4/5 * 7/2 = 7/2 * 2/7 x
28/10 =x
2 8/10=x
2 4/5
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, as shown in the graph:
There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 1, negative 50 and 4, 40.
Which equation most closely represents the line depicted in the graph?
f(x) = −30x + 80
f(x) = −40x + 4
f(x) = 40x − 4
f(x) = 30x − 80
Answer: The answer is D ) f(x) = 30x − 80
Step-by-step explanation:
I honestly just copied this from some other guy
Answer: f(x) = 30x − 80
See picture for problem. Please answer if you know
Answer: rx-sx= -2x^2
rx+sx=4x^2+8x
(r)(s)=3x^2+16x+16
Step-by-step explanation: Hopefully this helps! :)
Can someone help please
ASAP
Answer:
see explanation
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{11}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{5}{11}[/tex] ) ≈ 24.4° ( to 1 decimal place )
tan C = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{11}{5}[/tex] , then
∠ C = [tex]tan^{-1}[/tex] ( [tex]\frac{11}{5}[/tex] ) ≈ 65.6° ( to 1 decimal place )
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )
AC = [tex]\sqrt{146}[/tex] ≈ 12.08 ( to 2 decimal places )
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
5 less than the product of 7 and s
Answer:
7s - 5
I hope this helps!
pls help me will pick brainliest
It has to be 3.4 but since this is half a square it would be whole 3
On a number line, suppose the coordinates is A is 0 , and AR =20
Answer:
50
Step-by-step explanation:
Duh
Use the Distributive Property to solve this problem: 2 × (15 + 9)
Answer:
248
Step-by-step explanation:
2×(15+9)=
2 × 124=
248
Answer:
15+9=24×2=48
Step-by-step explanation:
15+9=24×2=48
divide a³+8b³ by a+2b
What is 122.95 rounded to the nearest tenth
Answer:
123
Step-by-step explanation:
123.0
which set of numbers includes only integers
Answer:
set D (-10, -7, 0, 98, 145) has only integers
An integer is a whole number or a number that is not a fraction. An integer is a number that completes it's self and needs nothing more
Answer:
set d. and omg your screen
Step-by-step explanation:
