Answer:
[tex]22 < X < 46[/tex]
Step-by-step explanation:
Given
Two sides of a triangle; 34 and 12
Required
Determine the range of the third side
Represent the third side with X
To determine the range of the third side; two of the following conditions must be satisfied'
[tex]34 + X > 12[/tex]
[tex]34 + 12 > X[/tex]
[tex]12 + X > 34[/tex]
Solving 34 + X > 12
Subtract 34 from both sides
[tex]34 - 34 + X> 12 - 34[/tex]
[tex]X > -22[/tex]
Solving 34 + 12 > X
[tex]34 + 12 > X[/tex]
[tex]46 > X[/tex]
Solving 12+ X > 34
Subtract 12 from both sides
[tex]12 - 12 + X > 34 -12[/tex]
[tex]X > 22[/tex]
Write out the results
[tex]X > -22[/tex]
[tex]46 > X[/tex]
[tex]X > 22[/tex]
The first inequality will be discarded because it accommodates negative digits;
So, we're left with
[tex]46 > X[/tex] and [tex]X > 22[/tex]
This can be rewritten as
[tex]X < 46[/tex] and [tex]22 < X[/tex]
Combine both inequalities;
[tex]22 < X < 46[/tex]
Hence, the range of the third length is [tex]22 < X < 46[/tex]
Determine if the two triangles shown are similar. If so, write the similarity statement. options: A) ΔUVW ∼ ΔFGH B) The triangles are not similar. C) ΔWUV ∼ ΔFGH D) Impossible to determine.
Answer:
B (from down below) They are similar but your q does not match up with the picture
Step-by-step explanation:
to determine if two triangles are similar you have to make sure the ratios are the same. So 10 / 8 = 1.25, so all sides should have this ratio. 15 / 12 is also 1.25 so you know to sides are similar and also the triangles ARE SIMILAR. So The statement would be KMN is similar to KLP.
Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200
Answer:
$1500
Step-by-step explanation:
It is given that
Rent = $100
Groceries and drinks = $1000
Insurance premiums = $10
Loan interest payment =$30
Clothes = $200
Utilities = $300
Home security fee = $200
Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.
In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.
Groceries and drinks, clothes and utilities are variable cost.
So, total variable cost for last month is
[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]
Therefore, total variable cost for last month is $1500.
Answer:
$1500
Step-by-step explanation:
I just took the test and got it right
PLEASE HELP URGENTLY
Answer:
0.8/1 = 0.8
hope this helps you
What additional information must be known to prove the triangles similar by SSS? options: A) ∠F ≅ ∠Q B) No additional information is needed. C) The lengths of and D) ∠F ≅ ∠D
Answer:
Option A) [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex]
Step-by-step explanation:
There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.
Right isosceles triangles are constructed on the sides of a 3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is [tex]\frac{X+Y}{Z}[/tex]
Answer:
1
Step-by-step explanation:
because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5
the area of X is 4.5
the area of y is 8
(8+4.5)/(12.5) = 1
Which statement could be an interpretation of the graph’s x-intercept or y-intercept?
On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Tabitha took 6 hours to drive to her friend’s house.
Matthew used 12 gallons of gas in all.
Rosa will pay off her loan in the eighth month.
Eight members of Hoi's family were each charged $4 to go to a movie.
Answer:
1. Consider the x-axis to represent months to pay off the loan, and the y-axis to represent $ owed.
2. the ordered pair (8,0) would show that at 8 months there is no more money owed.
Step-by-step explanation:
Emily has driven 600 miles so far on her way to the beach. If her total trip will be 850 miles‚ about what percentage of the drive does she have left to complete? a) 15% b) 29% c) 40% d) 73%
Answer:
B) 29%
Step-by-step explanation:
First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.
Answer:
B. 29%
Step-by-step explanation:
Percentages can be found by dividing the part by the whole, then multiplying by 100.
(part/whole) * 100
We have to find the percentage of the drive she has left.
Therefore, the part is the miles she has left and the whole is the total trip.
(miles left/total trip) * 100
First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.
total - miles driven
She has 850 total miles and has driven 600 miles.
850-600
250
She has 250 miles left.
Now we know the miles she has left.
(miles left/total trip) * 100
miles left = 250
total trip= 850
(250/850) * 100
Solve inside the parentheses first. Divide 250 by 800.
(0.29411765)*100
Multiply
29.411765
Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.
29
Therefore, she has about 29% of her trip left.
In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman
Hope this helps :D
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
Multiply and simplify
(x +1)3 x (x+1)4
Answer:
12x^2+24x+12
Step-by-step explanation:
(3x+3) * (4x+4)
12x^2+24x+12
Answer:
( x+1)^7
Step-by-step explanation:
(x +1)^3 * (x+1)^4
Replace x+1 with m
m^3 * m^4
The bases are the same so we can add the exponents
m^ (3+4)
m^7
Replace m with x+1
( x+1)^7
Brett is making chocolate bars. He wants to make 35 bars from Monday to Friday. One cocoa pod makes ⅚ of bar. If he harvests the same number of cocoa pods each day, how many cocoa pods should he harvest each day to reach his goal of making 35 bars total from Monday to Friday?
Answer:
9
Step-by-step explanation:
one cocoa pod makes 5/6 bar
to make 35 bars, he needs
35 / (5/6) = 35 * 6/5 = 42 pods
Monday - Friday is 5 days
42/5 = 8.4
He needs more than 8 pods per day, so he must harvest 9 pods per day.
Answer:
8.4
Step-by-step explanation:
Hurry please I really need this .
Answer:
{2,3,4,5}
Step-by-step explanation:
The given set is in set-builders notation form.
IT says that x such that x belongs to integers and it is greater than or equal to 2 and less than on equal to 5.
So, The set will be written as:
=> {2,3,4,5}
Answer:
(2, 3, 4, 5)
Step-by-step explanation:
If you substitute x with all of the numbers you should get (2, 3, 4, 5)
Find the area of the following shape.
Answer:8
Step-by-step explanation:
Answer:
How do you figure 8?
A=1/2(L*W) triangle but what is the work?
Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.
Answer:
B
Step-by-step explanation:
Which equation, when solved, results in a different value of x than the other three?
Answer:
-7/8(-8/7)x-3/4=20(-8/7)
Step-by-step explanation:
-7/8(-8/7)x-3/4=20(-8/7)
x-3/4=-21 1/7
x=-21 4/28-21/28
x= 20 3/28
The other three are actually the same problem, and they all equal -23.7
Answer:
-7/8(-8/7)x-3/4=20(-8/7)
Step-by-step explanation:
Proof Below
Got it right on test
A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4
slope = -5, y intercept = 5
===========================================
Explanation:
The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.
Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.
---------------
If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b
y = mx+b
-5 = -5(2)+b
-5 = -10+b
-5+10 = -10+b+10 ... adding 10 to both sides
5 = b
b = 5 is the y intercept
So we have y = mx+b update to y = -5x+5 as the perpendicular line.
Answer:
[tex]y = - 5x + 5[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]
.
[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]
[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]
[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]
NEED ANWSER ASAP! WILL GIVE BRAINLIEST! An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answer:
any way since the sides are the same leangth
Step-by-step explanation:
What is the slope of the line that passes through the points (–20, 18) and (30, 14)?
Explanation:
Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.
m = (y2 - y1)/(x2 - x1)
m = (14 - 18)/(30 - (-20))
m = (14 - 18)/(30 + 20)
m = -4/50
m = -2/25
Answer:
[tex]-\frac{2}{25}[/tex]
Step-by-step explanation:
Slope is rise over run.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (–20, 18) and (30, 14).
[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]
The slope is -2/25.
Brainilest Appreciated.
A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), the translation made is (options, 2 squares up and 1 square right, 1 square down and 2 squares left, 1 square down and 2 squares right or 2 squares down and 1 square right) If the player moves the knight from (5, 1) to (6, 3), the translation made is (options, 1 square up and 1 square right. 2 squares up and 1 square right, 4 squares up and 2 squares right or 2 squares up and 1 square left)
Answer:
1. one square down two squares right
2. two squares up one square right
Answer:
one square down two squares right
Step-by-step explanation:
.
Solve the system of equations using substitution. Write your answer as an ordered triple in the form (x, y, z).
X+ y + z = 2
4x + 5y + z = 12
2x = -4
Answer:
(x, y, z) = (-2, 4, 0)
Step-by-step explanation:
Solving the last equation first, we have ...
2x = -4
x = -2 . . . . . divide by 2
__
Putting this in the first equation, we can write an expression for z:
-2 +y +z = 2
z = 4 -y . . . . . . . add 2-y
__
Putting this in the second equation, we have ...
4(-2) +5y +(4 -y) = 12
-4 +4y = 12
-1 + y = 3 . . . . . divide by 4
y = 4 . . . . . . . . add 1
__
Substituting this into the equation for z, we have ...
z = 4 - 4 = 0
The solution is (x, y, z) = (-2, 4, 0).
Answer:
X+y+z=2 equation 1
4x + 5y + z = 12 equation 2
2x = -4 equation 3
Step-by-step explanation:
step 1 :
from equation 3 : 2x = -4
x= -4/2 = -2
step 2:
sub value x = -2 in equation 1
y + z = 4 _______ equation 4
step 3:
sub value of x in equation 3
5y + z = 20 _________ equation 4
solve equation 3 and 4
y + z = 4
5y + z = 20 sign change
__(-)_________
-4y = -16
__________
y = 4
substitute x = -2 & y = 4 in equation 1
z = 0
Hence x = -2 , y = 4 & z = 0
is this right? someone please help i’ll give brainliest :)
Answer:
x>-1
Step-by-step explanation:
Answer:
Your answer is incorrect.
Step-by-step explanation:
The answer that you should have gotten is;
x>-1
Find the area of the shaded region. Plz help
What is the area of this figure?
13 mi
5 mi
8 mi
6 mi
3 mi
7 mi
square miles
Answer:
86 square miles
Step-by-step explanation:
To answer this question you have to separate the shape into smaller ones. In this case, you can separate the shape into one larger rectangle on top and one smaller rectangle on bottom.
Area of large rectangle on top:
13 miles x 5 miles = 65 square miles
Area of smaller rectangle on bottom:
3 miles x 7 miles = 21 square miles
65 + 21 = 86 square miles
Answer:
The answer is 86 square miles
Step-by-step explanation:
First of all you can seperate this shape into shapes that you already know how to solve. Then the rest is easy...You can see how I solved it in more detail by looking at the image below. I hoped it was helpful!
A man has 3 different suits, 4 different shirts and 5 different pairs of shoes. In how many different ways can this man wear a suit, a shirt and a pair of shoes? 35 12 60 17
Answer:
60 ways
Step-by-step explanation:
Multiply the number of suits, shirts and shoes to find the number of ways
3 * 4 * 5
60 ways
Answer:
60
Step-by-step explanation:
(4 x 3) 5
help meee plz plz me now
Answer:
if they are proportional he will give away 20
Answer:
20 should expect to get lizard treats
Step-by-step explanation:
There are 4+10+6 treats = 20 treats
10 out of the 20 are lizard treats
10/20 = 1/2
There are 40 people
1/2 * 40 = 20
20 should expect to get lizard treats
helpppp me plz i need help i need help
Answer: [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
- A coin has 2 sides. Which means the probability of the coin landing on one side will be [tex]\frac{1}{2}[/tex].
- Since there are three coins, we multiply [tex]\frac{1}{2}[/tex] three times ( [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{2}[/tex]) to get the answer of [tex]\frac{1}{8}[/tex]
Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501
Answer:
C, 0.415
Step-by-step explanation:
Convert the fractions to decimals:
1/3 = 0.3333333...
1/2 = 0.5
So the decimal must be greater than 0.3333333... and smaller than 0.5,
from the options,
only 0.415 matches with the requirements.
Answer:
c.415
Step-by-step explanation:
1/3 = 0.333333...
1=2 = 0.5
Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2
Hope ths helps....
Pls mark my ans as brainliest :)
PLS PLS PLS
I want to rank up....
Dat y pls mark my ans as brainliiest :)
10 Points! Help is aprreciated!! :)
Answer:
A
Step-by-step explanation:
Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.
A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not drawing a black marble is___ . The probability of drawing a red marble is____
Answer:
80%; 30%
Step-by-step explanation:
There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.
There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of not drawing a black marble is 8/10 or 4/5 or 80%.
There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.
The table represents the multiplication of two binomials. A geometric model with 2 columns and 2 rows. The first column is labeled negative 2 x with entries A, C. The second column is labeled 3 with entries B, D. The first row is labeled 4 x with entries A, B. The second row is labeled 1 with entries C, D. Which letters from the table represent like terms? A and B B and C A and D B and D
Answer:
B and C
Step-by-step explanation:
Like terms are terms with the same constellation of variables. The like terms in this product are (12x) and (-2x). The cells containing those are designated B and C.
Answer:
B and C
Step-by-step explanation:
To make a specific hair dye, a hair stylist uses a ratio of 118 oz of red tone, 34 oz of gray tone, and 58 oz of brown tone. If the stylist needs to make 20 oz of dye, how much of each dye color is needed?
Answer:
The answer is, the hair stylist needs 5.9 oz of the red tone, 1.7 oz of gray tone, and 2.9 oz of brown tone
Step-by-step explanation:
It says if the stylist needs to make 20 oz of dye,how much of each dye is needed? So you need to divide 20 by 118,34,and 58.
Step 1:Highlight important words that can help answer the question
Highlight:How much,each,ratio,is needed
Step 2:Collect data(numbers) from the algebraic equation
Example:118 oz, 34 oz, 58 oz, 20 oz
Step 3:Divide 20 by each ratio of dye
118/20
34/20
58/20
Step 4:Get the quotient of each dividend
118/20=5.9
34/20=1.7
58/20=2.9
Step 5:Check your work to make sure it's correct. Note:If you check your work but it's not right try again.
20 x 5.9=118
20 x 1.7=34
20 x 2.9=58