Mathematics High School

the side lenghts of a triangle are 14,15, and x units

Answers

Answer 1

9514 1404 393

Answer:

1 < x < 29

Step-by-step explanation:

The triangle inequality requires the sum of the two shortest sides exceed the longest side.

When x and 14 are the shortest:

x + 14 > 15

x > 1

When 14 and 15 are the shortest:

14 +15 > x

29 > x

Then the requirement for the length of x is ...

1 < x < 29

_____

Additional comment

The length of the third side of a triangle can be between the difference and sum of the two given sides.

Related Questions

2% of what amount is $200

Answers

Answer:

200×100÷2=10000

Step-by-step explanation:

i think that is right

Which statements about the graphs of y = 1/2sin x and y = 1/2sin(x - π /2) are true?
Select all that apply.
A) The graph of y = sin(x - π/2) is shifted units π /2 units left from the graph of y=1/2sin x.
B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of
y = 1/2 sin x.
C)The period of y=1/2sin(x - π/2) is π/2, and the period of y = 1/2sin x is 2 π.
D)The amplitude of y = 1/2sin(x - π/2) is half the amplitude of y = 1/2 sin x.
E)The amplitude of y=1/2 sin(x - π/2) is the same as the amplitude of y = 1/2 sin x.

Answers

The answer is b.

Subtracting pi/2 to the x value shifts it towards the right. (It’s basically the opposite of the number line, negatives=right positives=left)

The correct answer is option B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of y = 1/2 sin x.

How do you describe a graph?

For most graphs, give a brief description including the title and axis labels, and mention trends not already described in the text. For simple charts, state the actual data points. For more complex charts, an ideal description would include the data in a table or list.

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Pls help me with this question and explain thx!!

Answers

Answer: 50 pages (not sure) but I hope that still made sense though

Step-by-step explanation:

30% of 15 equals 50

15/30%=50

He needs to read 35 more pages. Multiply 30% by 3 that’s 90. 15 by 3 as well that’s 45. One-third of 30 is 10, 90+10 is 100%, one third of 15 is 5. Just add 45 and 5 and you get 50. Take away 15 for the amount of pages he already read, that’s 15

If I roll 2 dice, what is the
probability that their total is a
prime number?

Answers

Answer:

The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12

when writing the equation of a line in slope-intercept form, how can you determine the value of m in y=mx+b if you know the coordinates of two points on the line?

Answers

To determine the value of m in the equation, apply the slope formula, m [tex]= \frac{y_2 - y_1}{x_2 - x_1}[/tex].

How to Determine the Slope of a Line?

The slope of a line (m) = change in y / change in x = (y2 - y1)/(x2 - x1).

In the slope-intercept form of an equation that represents a line, the slope is represented as "m" in y = mx + b.

The equation we can use to determine the slope (m) if we are given two points on a line is, m = (y2 - y1)/(x2 - x1).

For example, if two points, (-4,2) and (8,5) are points on the line, we can find the value of the slope (m) as:

m = (2 - 5)/(-4 - 8) = -3/-12

Slope (m) = 1/4

The value of m to use in the equation of the line would be 1/4.

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4. "Eleven subtracted from the quotient of a
number and five is -13."
How do I write this equation?? HELP

Answers

Answer:

[tex]\frac{x}{5}-11=-13[/tex]

Step-by-step explanation:

11 subtracted ( - 11 ) from the quotient ( division ) of a number ( x ) and 5 is ( = ) -13

[tex]\frac{x}{5}-11=-13[/tex]

3. Simplify the expression (x3 - 532 +7X - 12) = (x – 4) using long division. Show your work.
Answer.

Answers

Answer:

(3x+7x-532-12)=(x-4)

(10x-520)=(x-4)

10x-x=-4+520

9x=516

9x/9=516/9

x=57.333333

I need help on 1,2 and 4

Answers

Answer:

1. 279,936

2. 727

4. 4,096

1: 6 to the 7th power
2: 3 to the 12th power
3: 10 to the 4th power

Please answer the math problem... I will mark you brainliest

Answers

Answer:

t = 128°

Step-by-step explanation:

A triangle equals 180°. 2/3 of the angles in the triangle are given, so we would then do the following:

180 - (61 + 67) = x

180 - 128 = x

52 = x

Since a straight line also is 180°, this would mean x + t = 180.

x = 52

We would then convert the equation to the following:

180 - 52 = t

128 = t

The angle "t" is a 128° angle.

(-4, 12) and (-7, -3)

Answers

Answer:

The slope is 5/1 or 5

Step-by-step explanation:

Hope this helps!

The total entrance fee for a group of 4 adults and 3 children to a water park is $220. The total fee for a group of 2 adults and 1
child is $98. Determine the entrance fee for an adult and the entrance fee for a child.
a. Select the system of equationslokat model the situation. Solve by using substitution.

Answers

Answer:

Step-by-step explanation:

The entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.

What is a system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

It is given that :

The total entrance fee for a group of 4 adults and 3 children = $220

and

The total entrance fee for a group of 2 adults and 1 child = $98

Let's assume that the entrance fee for an adult is x and entrance fee for a child is y.

So , the equations can be written as :

4x + 3y = $ 220 --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 1

2x + y = $ 98 --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 2

Now , multiply equation 2 by 2 :

4x + 2y = $ 196 --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 3

Subtracting equation 3 from equation 1 , we get :

(4x - 4x) + (3y - 2y) = $220 - $ 196

y = $24

or entrance fee of a child is $24.

Now , substituting the value of y in equation 1 , we get :

4x + 72 = $220

4x = 148

x = $37

or entrance fee of an adult is $37.

Therefore , the entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.

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A flat fee of $15.25 plus $3.45 per pound of supplies ordered is added to the bill to cover the shipping cost.The teacher budgets $49.75 for the shipping cost.Which list of values best represents the entire domain for shipping, f(x), as a function of the number of whole pounds of school supplies the teacher can order, x?

Answers

The domain of a function is the set of possible input value, the function can take.

The domain is [0,10]

The given parameters are:

[tex]Flat\ Fee = 15.25[/tex]

[tex]Rate = 3.45[/tex]

So, the function f(x) is:

[tex]f(x) = Flat\ Fee + Rate \times x[/tex]

[tex]f(x) = 15.25 + 3.45 \times x[/tex]

[tex]f(x) = 15.25 + 3.45x[/tex]

Because x represents the number of orders, the value of x cannot be negative.

The teacher budgets $49.75.

This means that: f(x) = 49.75

So, we have:

[tex]49.75 = 15.25 + 3.45x[/tex]

Collect like terms

[tex]49.75 - 15.25 = 3.45x[/tex]

[tex]34.5 = 3.45x[/tex]

Divide both sides by 3.45

[tex]10 = x[/tex]

Rewrite as

[tex]x = 10[/tex]

Hence, the domain is [0,10]

Answers

Answer:

f=40

Step-by-step explanation:

f=28, a=7

[tex]f \infty a \\ f = ka \\28 = k(7) \\ 28 = 7k \\ \frac{28}{7} = \frac{7k}{7} \\ 4 = k \\ k = 4 \\ f = 4a \\ a = 10 \\ f = 4(10) \\ f = 40[/tex]

Hope that this is helpful.

Have a nice day.

F=40
Don’t really know how to explain it tho

!!!IMPORTANT!!!!
How do you tell which element is more reactive in a chemical reaction???
Please Help!

Answers

Answer:

I think it might be which ever one produces more enzymes

Step-by-step explanation:

just like anaerobic respiration and aerobic respiration

Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Please include a sentence explaining your reasoning.

Answers

Answer:

1/4

Step-by-step explanation:

If you divide 3/4 by 3, you get 1/4 (0.75 / 3 = 0.25)

Solve for m. 15 =9m Simplify your answer as much as possible.

Answers

Answer:

15 = 9m

15/9 = 9m/9

m =15/9

=5/3

=1.666667

Find the y-intercept of the line.
y=-1.4x + 6.9

Answers

Answer:

The y-intercept is 6.9

Step-by-step explanation:

The formula is y = mx + b, where m is slope and b is y-intercept.

Hope this helped :)

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form. 6 and 11

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeters of the similar figures have the same ratio as the sides.

ratio of perimeters = [tex]\frac{11}{6}[/tex]

ratio of areas = 11² : 6² , that is 121 : 36

ratio of areas = [tex]\frac{121}{36}[/tex]

To save money for a new phone, Terrell took a part-time job wrapping gifts. He wraps 3 gifts in 10
minutes.
Complete the table

HELPPP CAN SOMEONE TELL ME WHAT TO PUT IN THE TABLE

Answers

Answer:

* 0.3

Step-by-step explanation:

10 30 4.5 5.4

3 9 15 18

Answer: 10. 30 50. 60
3. 9. 15. 18
I think this is the answer super sorry if wrong

I've been stuck on this for so long

Answers

y = 6/5x - 1

hope this helps :) !!

Answer:

[tex]y = \frac{6}{5}x - 1[/tex]

Step-by-step explanation:

use the formula

[tex]y = mx + b[/tex]

m is the slope and b is the y-intercept. Begin with b, where the line crosses the y-axis (vertical axis). It crosses at -1, so this is b.

Next move with m. Do rise/run. Start at the y-intercept and you are going to rise 6 and run 5 to the next point. So the slope is 6/5. Leave as an improper fraction. Plug-in for m. Since the line goes uphill from left to right it has a positive slope.

Dr.Mann mixed 10.384 g of chemical A, 12.061 of chemical B, and 7.505 g of chemical C to make 5 doses of medicine. How many grams are in one dose of medicine?

Answers

Answer:

5.99g in one dose.

Step-by-step explanation:

Add up all the chemicals in the mix and divide by 5 to get how many grams are in one dose of medicine. We divide by 5 cause we get 5 doses out of the entire mixture.

[tex]\frac{10.384+12.061+7.505}{5} =\frac{29.95}{5}=5.99g[/tex]

PLZZZ HELPPPP ILL MARK BRAINLIEST TO FIRST AND CORRECT ANSWER THAT HAS WORK AND A THX TO SECOND AND CORRECT ANSWER.

Answers

Answer:

Step-by-step explanation:

I know that it is b becuase everthing esle has a higher number and when it's higher more chance of getting a full number

Ronald wanted an allowance. his father gave him a choice of getting it on a weekly or on a daily basis. He said he would either pay him $1.25 a week or pay him in the following manner for a week: On Monday he would give him $0.01; On Tuesday $0.02; On Wednesday $0.04 and on through Sunday. What would you tell Ronald to do so he can get more allowance?

Answers

Step-by-step explanation:

Well the addition of ($0.01+$0.02+$0.04) would be $0.07

And he since he can get $1.25 a week if he chose the weekly option

Since $1.25>$0.07

I would tell Ronald to choose the weekly option for getting more allowance.

A total points scored in a basketball game was 21. How many were 2 points, and how many were 3 point shots. using a linear equation to figure

Answers

Answer:

im not sure

Step-by-step explanation:

0.5 of what number is 12 and what is the equation to represent this problem? Include a variable

Answers

.5 means half. 12 x 2 is 24. so, your equation would be x/2=12

Select the correct answer. The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number? Đ -4 B. -2 C.-1 D. 1 â€‹

Answers

Answer:

n = 1

Step-by-step explanation:

n - 6 = 5(n-2)

n - 6 = 5n - 10

-6 +10 = 5n - n

4 = 4n

n = 4/4

How long will it take for a $2000 investment to grow to $2786 at an annual rate of 4.6% , compounded quarterly? Assume that no withdrawals are made.

Answers

Answer:

7.4

Step-by-step explanation:

use the compound interest formula

I=P(1+r/100)<n

2786=2000(1+4.6/100)^n

divide 2000 by both side

1.393=(1+4.6/100)^n

1.393=1.046^n

introduce the log

log1.393=rlog1.046

divide both with log1.046 to get the value of n

n=7.4

A rectangular shop in the mall is 10 meters long and 5 meters wide. What is its area?

Answers

The area is 15m squared

Answer:

it would be 80 meters

Step-by-step explanation:find the area and multiply width x length

Given segment AX with point Q between A and X. AX = 25. AQ = 2y + 1. QX = 3y - 1.
We can set up an equation to solve for y using the fact that
y =
AQ =
QX =
Q

Answers

Answer:

y=5

AQ=11

QX=14

Q is not a midpoint

Step-by-step explanation:

A line segment can be divided into equal or unequal segments

The values of x, AQ and QX are 5, 11 and 14.

The given parameters are:

[tex]\mathbf{AX = 25}[/tex]

[tex]\mathbf{AQ = 2y + 1}[/tex]

[tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AX = 25}[/tex] can be rewritten as:

[tex]\mathbf{AQ + QX =25}[/tex]

Substitute values for AQ and QX

[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]

Execute like terms

[tex]\mathbf{5y =25}[/tex]

Divide both sides by 5

[tex]\mathbf{y =5}[/tex]

Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]

[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]

Hence, the values of x, AQ and QX are 5, 11 and 14.

Answers

Answer:

roberta starts with 50 dollars in her wallet

Step-by-step explanation:

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