1. Of the three angles in a right-angled triangle, one angle has a measure
of 60 degrees. What is the measure of the third angle, Angle X? *
al 60

Answers

Answer 1

Answer:

30. A right triangle has one angle that is 90°

All angles add to 180°

180 - 90 - 60 = 30

Step-by-step explanation:


Related Questions

How much would you pay for: 240 textbooks at $15.40 each, 100 pens at $1.25 each and 30
dozen erasers at 95c each?

Answers

Answer:

384950c or $3849.50

Step-by-step explanation:

240x1540=369600

100x125=12500

30x95=2850

369600+12500+2850=384950

Find the x- and y intercepts in the table write your answers as separate coordinates

Answers

Answer:

1: x intercept:2 y intercept:5

2: x intercept:-7 y intercept:1

3: x intercept:2 y intercept:-2

4: x intercept: 1 y intercept: -2

Step-by-step explanation:

The y intercept is whenever the x unit is at 0, and the x intercept is whenever the y intercept is at 0.  

(-5/2;5)           (1/7;1)            (1;-2)           (2;-2)

How many sticks would be in pattern number n

Answers

Answer:

hey. pls post a pic of the pattern or type in the number of sticks in each term so we could help tou determine the nth term

I need help with this math problem

Answers

Answer: A) (x + 12) and (x + 9)

Step-by-step explanation:

You need to get x^2 + 21x + 108.

A) (x + 12) (x + 9) = x^2 + 12x + 9x + 108 = x^2 + 21x + 108

B) (x - 12) (x - 9) = x^2 - 9x - 12x + 108 = x^2 -21x + 108

C) (x - 27) (x - 4) = x^2 - 4x - 27x + 108 = x^2 - 31x + 108

D) (x + 27) (x + 4) = x^2 + 27x + 4x + 31 = x^2 + 31x + 31

So, the answer is A).

To test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are:_________

a. 14 and 255.
b. 255 and 14.
c. 13 and 240.
d. 14 and 240.

Answers

Answer:

d). 14 and 240

Step-by-step explanation:

According to the Question,

Given that,  The regression model involving 14 independent variables and 255 observations

We need to find out the numerator and denominator freedom degrees ,

k = 14 regression variable

= n - k - 1

= 255 - 14 - 1

= 240 residuals

df=14,240

Now The degree of freedom for F-critical is

F_{k,n-k-1}=F_{14,240}

So, The df of the numerator is 14 and df of the denominator is 240

 Marsha has a bag that contains 4 green marbles, 8 yellow marbles , and 20 red marbles . If she chooses one marble from the bag, what is the probability that the marble is not red?

PLEASE HELP IF YOURE GOOD AT GEOMETRY!!

Answers

Answer:

C. 3/8

HOPE THIS HELPS :)

Answer:

c. 3/8

Step-by-step explanation:

first you need the denomerator by adding all marbles together which equals 32. now for the munerator you need the sum of the green and yellow marbles. this equals 12. so your fraction is 12/32. next we simplify. we can divide both numbers by 4. getting us a fraction of 3/8.

Which pairs in the form x,y are solutions to the equation 7x-5y=28?

Answers

Answer:

x=4 y=0

Step-by-step explanation:

7(4)-5(0)=28

28-0=28

28=28

parabola
Given that tanθ= [tex]-\frac{9}{4}[/tex] and [tex]\frac{\pi }{2\\}[/tex]<θ<π , find the exact values of the trigonometric functions.

Answers

9514 1404 393

Answer:

sin(θ) = (9√97)/97cos(θ) = (-4√97)/97csc(θ) = (√97)/9sec(θ) = (-√97)/4cot(θ) = -4/9

Step-by-step explanation:

The angle is in the 2nd quadrant, where the sine is positive and the cosine is negative.

tan^2(θ) +1 = sec^2(θ) = (-9/4)^2 +1 = 97/16   ⇒   sec = -(1/4)√97

cot(θ) = 1/tan(θ) = -4/9

csc^2(θ) = cot^2(θ) +1 = (-4/9)^2 +1 = 97/81   ⇒   csc = (1/9)√97

sin(θ) = 1/csc(θ) = (9√97)/97

cos(θ) = 1/sec(θ) = (-4√97)/97

Jed bought a generator that will run for 2 hours on a liter of gas. The gas tank on the generator is a rectangular prism with dimensions 20 cm by 15 cm by 10 cm, as shown. If Jed fills the tank with gas, how long will the generator run? Show how you arrived at your answer. [1000 cm 3= 1 liter] Explain your answer.

Answers

Answer:

The generator will run for 6 hours.

Step-by-step explanation:

First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.

Area of any prism = height * width * length

Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed

I am told the important info that 1,000 cm cubed = 1 liter

Therefore, 3,000 cm cubed = 3 liters

I am also told that the generator will run for 2 hours on 1 liter of gas

Lets make a ratio table:

Hours the generator will run for : liters of gas

                                                   2 : 1

                                                   6 : 3

the generator will run for 6 hours.

What is the missing number in the table?

Answers

Answer:

1296

Step-by-step explanation:

the y is multiplying by six each time 6*6 = 36

36*6 = 216

216*6 = 1296

2196 = 7776

giải phương trình y′′ − 7y′ + 6y = sin x.

Answers

Start with the underlying homogeneous equation:

[tex]y''-7y'+6y=0[/tex]

which has characteristic equation

[tex]r^2-7r+6=(r-6)(r-1)=0[/tex]

with roots at r = 6 and r = 1. So the characteristic solution is

[tex]y_c=C_1e^{6x}+C_2e^x[/tex]

Now for the particular solution, we can use the method of undetermined coefficients, with the following ansatz (the "guess" solution) and its derivatives,

[tex]y_p=a\cos x+b\sin x[/tex]

[tex]{y_p}'=-a\sin x+b\cos x[/tex]

[tex]{y_p}''=-a\cos x-b\sin x[/tex]

Substituting these into the original equation gives

[tex](-a\cos x-b\sin x)-7(-a\sin x+b\cos x)+6(a\cos x+b\sin x)=\sin x[/tex]

[tex](5a-7b)\cos x+(7a+5b)\sin x=\sin x[/tex]

[tex]\implies\begin{cases}5a-7b=0\\7a+5b=1\end{cases}\implies a=\dfrac7{74},b=\dfrac5{74}[/tex]

So the particular solution is

[tex]y_p=\dfrac7{74}\cos x+\dfrac5{74}\sin x[/tex]

and hence the general solution is

[tex]y=y_c+y+p=\boxed{C_1e^{6x}+C_2e^x+\dfrac7{74}\cos x+\dfrac5{74}\sin x}[/tex]

A market has two check out lines. Let X be the number of customers at the express checkout line at a particular time of day. Let Y denote the number of customers in the super-express line at the same time. The joint probability mass function of (X, Y) is given below. What is the probability of having only one customer at the express checkout line when there are more than two customers in the super-express line at the same time

Answers

The thaily are not really bad but it’s just that a little bit too big and then I can do that lol but I’m just going outside and I’m going on the road right thanks for

The rate of inflation measures the percentage increase in the price of consumer goods. The rate of inflation in the year 2014 was 2% per year. To get a sense of what this rate would mean in the long run, let's suppose that it persists through 2034.

What would be the cost in 2034 of an item that costs $100 in 2014? (Round your answer to the nearest cent.)
$

Answers

Answer:

148.59

Step-by-step explanation:

Inflation is kind of similar to interest and with that bieng said we can (kind of ) use the same formula

the time between 2034 and 2014 is 2034-2014= 20

100(1.02)²⁰=148.5947396

which we can round to 148.59

148.5 is the cost in 2034 of an item that costs $100 in 2014

What is Simple Interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan

[tex]A=P(1+r)^{t}[/tex]

where A is the Actual amount

P is Initial amount

t is time period

r is rate of interest

Given,

The rate of inflation measures the percentage increase in the price of consumer goods

The rate of inflation in the year 2014 was 2% per year.

2% is converted to decimal by dividing with 100

2/100=0.02

The time gap between 2014 and 2034 is

2034-2014=20 years

The initial amount is 100

A=100(1+0.02)²⁰

A=100(1.02)²⁰

A=100×1.485

A=148.5

Hence 148.5 is the cost in 2034 of an item that costs $100 in 2014.

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A landscaper buys 1 gallon of plant fertilizer. He uses 1/5 of the fertilizer, and then divides the rest into 3 smaller bottles. How much does he put in each bottle?

Answers

Answer:

4/15 gallon per bottle

Step-by-step explanation:

First, we find the remaining fraction of fertilizer after using 1/5. Using our fraction calculator, we see:

1 - 1/5 = 4/5

To find the amount of fertilizer per bottle, we then divide 4/5 by 3 and we get:

4/15 gallon per bottle

The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What is the probability that the mean height for the sample is greater than 65 inches? Assume o = 2.91 The probability that the mean height for the sample is greater than 65 inches is​

Answers

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 64.4 inches, standard deviation of 2.91

This means that [tex]\mu = 64.4, \sigma = 2.91[/tex]

Sample of 50 women

This means that [tex]n = 50, s = \frac{2.91}{\sqrt{50}}[/tex]

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}[/tex]

[tex]Z = 1.46[/tex]

[tex]Z = 1.46[/tex] has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

The sum of and is -15/32 and 7/32 is

Answers

it can be -8/32 or -0.25

Answer:

-8/32 or -1/4(if simplified)

Step-by-step explanation:

-15+7 = -8

-8/32 or -1/4

John made this model to show 4/7 * 13/9

Using John's model, what is 4/7 * 13/9? (has to be in fractions)

Answers

Answer:

52/63

Step-by-step explanation:

Given the expression

4/7 * 13/9

Taking the product

= (4*13)/(7*9)

= 52/63

Hence the product of both fractions is 52/63

There are 4 teams. Each team plays each other team once. How many games are played?
A 3
B 4
C. 6
D. 12
E 16​

Answers

Answer:

E) 16

Step-by-step explanation:

4 * 4 = 16

Hope this helps

The solution is Option C.

The number of games played by 4 teams if they play each other only once is given by combinations and is 6 games

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of teams be n = 4 teams

Each team plays the other team only once , so x = 2

The number of games played by 4 teams if they play each other only once is given by Combination

ⁿCₓ = n! / ( ( n - x )! x! )

Substituting the values in the equation , we get

⁴C₂ = ( 4! ) / 2! x 2!

On simplifying the equation , we get

⁴C₂ = ( 4 x 3 ) / 2 x 1

⁴C₂ = 2 x 3

⁴C₂ = 6 games

Therefore , the value of ⁴C₂ =6

Hence , the number of games is 6 games

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Can I get an awnser to both of these questions? Thank you!

Answers

Answer:

y+1=7(x+4) for first one

y-4=5(x-0) for second one

Step-by-step explanation:

point slope form for both of those questions.

the formula for point slope form is

y-y1(y coordinate) = slope(x+x2(x coordinate))

y+1=7(x+4)

Second question:

-1,-1 to 0,4

change in x +1, change in y +5.

5/1 = 5

slope is 5

y-4=5(x-0)

Simplify:......................................................

Answers

Answer:

...

Step-by-step explanation:...

The cut off number is 2x-1

anyone help me, let's prove

Answers

Answer:

In my opinion the limit is equal to 1 not 0, sorry.

Step-by-step explanation:     6  25  13  43

lim n ⇒∞ ((2n - 1)/2n)

lim n ⇒∞ (2n/2n) - 1)/2n)        2n/2n = 1    1/∞  = 0

              =   1  - 0

              =    1

   

when I graphed the function I also got 1

There are currently 441 dairy cows at Dancing Dairy Farm. Due to some considerations, the number of dairy cows is decreasing at the rate of 13 cows per year. Currently, each cow produces an average of 1157 gallons of milk per year, and production of milk is increasing at the rate of 39 gallons per cow per year. Use the product rule to determine the rate at which milk production at Dancing Dairy Farm is currently changing.

Answers

Answer:

the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

Step-by-step explanation:

Given the data in the question;

Let us represent the number of cows at the farm with x and

each cow produces y gallons of milk

Total mil production will be T.

so

T = x × y

now, differentiating with respect to t

dT/dt = d( xy )/dt

dT/dt = xdy/dt + ydx/dt

given that;

x = 441

y = 1157

dx/dt = -13

dy/dt = 39

so we substitute

dT/dt = ( 441 )( 39 ) + ( 1157 )( -13 )

dT/dt = 17199 - 15041

dt/dT = 2158

Therefore, the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

You have savings of 30,000. You invest in a bond mutual fund that pays 3% simple interest. What are your total savings after 20 years?

Answers

Answer:

54,183.34

Step-by-step explanation:

a = 30,000(1.03)²⁰

a = 54,183.34

A restaurant charges large parties an amount that depends on the number of people
that are eating. The restaurant charges $650 for 25 people and $1,850 for 80 people.
What is the restaurant charging per person (unit rate)?

Answers

Answer:

$26 per person or $23.125 per person for the bigger group

Step-by-step explanation:

What are the zeros of the function y = 2x2 + 5x + 2?
A. x =
- 3x =
x = -2
B. X =
1
2
.X = 2
C. X =
3.x=-2
O D. x=-1.x = 2

Answers

Answer: not sure

but I need points

Step-by-step explanation:

JUST KIDDING It’s A I did this in school before and got it correct :)

find the value of x. if necessary, round to the nearest tenth

a. 13.7 in
b. 11.7 in
c. 6.9 in
d. 9.7 in

Answers

Your answer is going to be d

The resale value V, in thousands of dollars, of a boat is a function of the number of years t since the start of 2011, and the formula is
V = 12.5 − 1.3t.
(a) Calculate V(3).
(b) In what year will the resale value be 7.3 thousand dollars?
(c) Solve for t in the formula above to obtain a formula expressing t as a function of V.
(d) In what year will the resale value be 3.4 thousand dollars?

Answers

Answer:

a) V(3) = 8.6.

b) The resale value will be 7.3 thousand dollars at the start of 2015.

c) [tex]t(V) = \frac{12.5 - V}{1.3}[/tex]

d) 2017

Step-by-step explanation:

We are given the following function:

[tex]V(t) = 12.5 - 1.3t[/tex]

(a) Calculate V(3).

This is V when t = 3. So

[tex]V(3) = 12.5 - 1.3(3) = 8.6[/tex]

So

V(3) = 8.6.

(b) In what year will the resale value be 7.3 thousand dollars?

t years after the start of 2011, and t is found when [tex]V(t) = 7.3[/tex]. So

[tex]V(t) = 12.5 - 1.3t[/tex]

[tex]7.3 = 12.5 - 1.3t[/tex]

[tex]1.3t = 5.2[/tex]

[tex]t = \frac{5.2}{1.3}[/tex]

[tex]t = 4[/tex]

2011 + 4 = 2015

The resale value will be 7.3 thousand dollars at the start of 2015.

(c) Solve for t in the formula above to obtain a formula expressing t as a function of V.

[tex]V(t) = 12.5 - 1.3t[/tex]

[tex]1.3t(V) = 12.5 - V[/tex]

[tex]t(V) = \frac{12.5 - V}{1.3}[/tex]

(d) In what year will the resale value be 3.4 thousand dollars?

t years after 2011, and t is found t when [tex]V = 3.4[/tex]. So

[tex]V(t) = 12.5 - 1.3t[/tex]

[tex]3.9 = 12.5 - 1.3t[/tex]

[tex]1.3t = 8.6[/tex]

[tex]t = \frac{8.6}{1.3}[/tex]

[tex]t = 6.62[/tex]

2011 + 6.62 = 2017

So the year is 2017.

Marcus likes to go for a run each morning before school. He recorded the number of minutes he spends running and the distance he covers. The scatter plot represents the data he collected

Answers

Answer:

D. 0.85

Step-by-step explanation:

The data points in the scatter plot are closer to each other along the line of best fit, this means that there is a strong positive association between minutes and distance and therefore, the correlation coefficient would be relatively closer to 1.

The correlation is positive since both variables tend to increase together in the same direction.

Therefore, the best estimate of the correlation coefficient out of the given options would be 0.85

HELP ME PLEASEEEEEEEEEEEEEE

Answers

Answer:

a

Step-by-step explanation:

This holiday season, Ms. Bastarache organized to give each 9th grader a $10 Dunkin Donuts gift card. Because she bought a lot of cards, Ms. Bastarache tipped the Dunkin Donuts employee $20.
This function represents the relationship between the number of gift cards, c, and T(c), the total cost of the cards.

T(c) = 10c + 20



Be sure to answer BOTH questions below.

1. Determine the total cost, in dollars, for Ms. Bastarache to give out 93 gift cards.



2. Last year, Ms. Bastarache spent $820, how many cards did she purchase?


need help asap plzzzzzz

Answers

Answer:

1. $950

2. 80

Step-by-step explanation:

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