2. A coordinate grid is used to make a map of the park. The location of the drinking fountain is (-4, 2) ; the location of the bench is (0, 2) ; and the location of the center of the slide is (0, 5).
(a) What is the distance from the drinking fountain to the bench? What is the distance from the bench to the center of the slide? Explain your reasoning.
(b) What type of triangle is created by the three locations? Explain.

Answers

Answer 1

Answer:

(A) The distance from the drinking fountain to the bench is 4, and the distance from the bench to the center of the slide is 3 because if you add -4 and 0 you will get 4 and if you subtract 5 and 2 you will get 3.

(B) The type of triangle that is created is an obtuse triangle because when you connect the 3 locations it creates an obtuse triangle on the coordinate grid.

Step-by-step explanation:

I already explained in the answer. Hope this helps and gets you an 100%

:)

Answer 2

Answer:

4 units, 3 units

(b) Right-angled triangle

Step-by-step explanation:


Related Questions

A bulletin board is 11 feet by 6 feet. The area of the board is what square feet.​

Answers

Answer:

66 feet sq.

Step-by-step explanation:

Eleven times six would be sixty-six.

Break up 11 into its tens and ones

11*6 =60

1*6 =6

Add the two, 60+6 =66

8. Carisa is four inches taller than her friend Lily.

Answers

Answer:

cool

Step-by-step explanation:

Which methods can be used to run a query? Check all that apply.
On the Create tab, in the Queries group, click Run.
In query Design view, on the Design tab, click Run.
Switch to Datasheet view before any other commands.
Close the Show Table dialog box in the Datasheet view.
On the Create tab, in the Queries group, click Create Query.

Answers

Answer: B & C

Edg2021

Which equations are equivalent to 33/x+ 4 = 12? Check all that apply.
3x + 4 = 9
43 = 3x + 4
O x + 4 = 64
U 3+ 4 = - 4
0 60 = x

Answers

Answer:

option c

x + 4 = 64

and

option e

x = 60  

Step-by-step explanation:

Given in the question an expression

3∛x+4 = 12

∛x + 4 = 12/3

∛x + 4 = 4

Take cube on both sides of the equation

∛(x + 4)³ = 4³

x + 4 = 64

x = 64 - 4

x = 60  

3. The measure of an interior angle of a regular polygon is 140. Find the number of sides the polygon has.​

Answers

Answer:

I hope this will help u

Step-by-step explanation:

Each interior angle of a regular polygon = 140 deg. So each exterior angle of the regular polygon = 180-140 = 40 deg. Hence the regular polygon has 360/40 = 9 sides.

Please mark me as Brilliant

9 sides


Jdncnsckjskcndjxmjdjdjsjdnsn

A function has the function rule y = x - 7. If the input is 4, what is the output?

3
-3
11
-11

Answers

Answer:

-3

Step-by-step explanation:

If the input is x, you'd substitute x with 4. meaning that y=4-7=y=-3

Hope this helped!

-3!! i hope this anwser helped you! :)

Find LM.
A.) 5
B.) 17.32
C.) 9
D.) 8.66

Answers

Answer:

Step-by-step explanation:

Tim spent $12.90 on a jacket and $8.45 on pants, and $13.32 on a shirt. He
went to 2 shops. In total, how much money did Tim spend on clothing?

Answers

Answer:

he spent $34.67 that is the answer

Help! I’ll reward brainest its pretty easy

Answers

add the two fractions together
1/2 + 1/8 (can’t see properly, is it an 8)
1/8 + 1/8
4/8 + 1/8
=5/8

2 3/4 yards of fabric for $22 express as unit rate. round to nearest cent if necessary

Answers

Answer:

7

Step-by-step explanation:

Answer:

13(rounded) cents per 1/4 yard and 50 cents per yard

Step-by-step explanation:

Step 1:  Convert the mixed fraction into an improper fraction

[tex]2\frac{3}{4} = \frac{4}{4}+\frac{4}{4}+\frac{3}{4}[/tex]

[tex]2\frac{3}{4}=\frac{11}{4}[/tex]

Step 2:  Find the unit price per 1/4 yard

[tex]\frac{11}{4}/22[/tex]

[tex]0.125 = 13 \ cents[/tex]

Step 3:  Find the unit price per 1 yard

[tex]12.5\ cents\ per\ 1/4\ yard=50\ cents\ per\ 1\ yard[/tex]

Answer:  13(rounded) cents per 1/4 yard and 50 cents per yard

5x + 4 = 3x + 10 how would you solve for the value of x? How would you prove your solution is correct? How would you prove another value is incorrect? Explain in as much detail as possible.

Answers

5x+3=3x+10 the first thing we're going to do it to subtract 3 from both sides which would look like this

5x+3-3x=10 (the minus because it changed place)

from 5x and 3x we get 2x so the next step is 2x=10-3 which is 7

so now we have

2x=7

x=7/2

Answer:

x=3

Step-by-step explanation:

5x+4 = 3x+10

2x = 6

therefore, x = 3

Verification:

5 * 3 + 4 = 3 * 3 + 10

15+4 = 9+10

19=19

Therefore, LHS= RHS

Hence Proved!

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)

Answers

Answer:

(6x2 - 5)(x2 + 2)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The lifetime of battery of a device (in one charge) is normally distributed with mean µ = 18 hours and standard deviation σ = 2 hours. (a) What is the probability that a battery will last more than 20 hours? (b) Find the 10th percentile of the lifetimes. (c) A particular battery lasts 16 hours. What percentile is its lifetime on? (d) What is the probability that the lifetime of a battery is between 17.5 and 18.5? (e) Ten batteries are chosen at random, what is the probability that the mean lifetime is between 17.5 and 18.5?

Answers

Answer:

a) 0.1587 = 15.87% probability that a battery will last more than 20 hours.

b) 15.44 hours.

c) Approximately the 16th percentile.

d) 0.1974 = 19.74% probability that the lifetime of a battery is between 17.5 and 18.5.

e) 0.5704 = 57.04% probability that the mean lifetime is between 17.5 and 18.5

Step-by-step explanation:

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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].

In this question, we have that:

[tex]\mu = 18, \sigma = 2[/tex]

(a) What is the probability that a battery will last more than 20 hours?

This is 1 subtracted by the pvalue of Z when X = 20. So

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

[tex]Z = \frac{20 - 18}{2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that a battery will last more than 20 hours.

(b) Find the 10th percentile of the lifetimes.

This is X when Z has a pvalue of 0.1. So X when Z = -1.28

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

[tex]-1.28 = \frac{X - 18}{2}[/tex]

[tex]X - 18 = -1.28*2[/tex]

[tex]X = 15.44[/tex]

So 15.44 hours.

(c) A particular battery lasts 16 hours. What percentile is its lifetime on?

We have to find the pvalue of Z when X = 16. So

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

[tex]Z = \frac{16 - 18}{2}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

Approximately the 16th percentile.

(d) What is the probability that the lifetime of a battery is between 17.5 and 18.5?

This is the pvalue of Z when X = 18.5 subtracted by the pvalue of Z when X = 17.5. So

X = 18.5

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

[tex]Z = \frac{18.5 - 18}{2}[/tex]

[tex]Z = 0.25[/tex]

[tex]Z = 0.25[/tex] has a pvalue of 0.5987

X = 17.5

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

[tex]Z = \frac{17.5 - 18}{2}[/tex]

[tex]Z = -0.25[/tex]

[tex]Z = -0.25[/tex] has a pvalue of 0.4013

0.5987 - 0.4013 = 0.1974

0.1974 = 19.74% probability that the lifetime of a battery is between 17.5 and 18.5.

(e) Ten batteries are chosen at random, what is the probability that the mean lifetime is between 17.5 and 18.5?

Sample of 10 means that, by the Central Limit Theorem, [tex]n = 10, s = \frac{2}{\sqrt{10}} = 0.6325[/tex]

X = 18.5

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

[tex]Z = \frac{18.5 - 18}{0.6325}[/tex]

[tex]Z = 0.79[/tex]

[tex]Z = 0.79[/tex] has a pvalue of 0.7852

X = 17.5

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

[tex]Z = \frac{17.5 - 18}{0.6325}[/tex]

[tex]Z = -0.79[/tex]

[tex]Z = -0.79[/tex] has a pvalue of 0.2148

0.7852 - 0.2148 = 0.5704

0.5704 = 57.04% probability that the mean lifetime is between 17.5 and 18.5

help me pleeess.need help for math

Answers

The ratio is 4 to 5.
So the answer is 25

Answer:

u are math

Step-by-step explanation:

I don't know what to do ​

Answers

120°, thinking logically it’s bigger than 90° but not big enough to be over 150°, so your last answer is 120°
That’s a 120 degree

Write the following expression in exponential form: 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5

Answers

Answer:

[tex]4.5^{7}[/tex]

Step-by-step explanation:

Just count how many 4.5 there are.

4.5^7

jwnnd  jwdjndw jnfjwnjj fjnwjnfs cn jjwj wmc sknkw c mssc kskwc

Which of the following is NOT a rate?
A
6 meters per second
O
B. 15 dollars per hour
C. 3 seconds per second
D. 2 dollars per pound

Answers

Answer:

c

Step-by-step explanation:

now are you going to get 3 seconds out of a second

Answer:

C

Step-by-step explanation:

C dosen't even make sence, so I think it is C.

Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)

Answers

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In triangle ABC,

[tex]\cos A=\dfrac{AC}{AB}[/tex]

[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]

[tex]0.857=\dfrac{b}{270}[/tex]

Multiply both sides by 270.

[tex]0.857\times 270=b[/tex]

[tex]231.39=b[/tex]

[tex]b\approx 231.4[/tex]

Therefore, the missing side length is b=231.4 inches.

The graph of f(x) = x2 was transformed tu
create the graph of d(x) = f(x) + 9. Which of
the following attributes will be the same for the
graphs f(x) and d(x)?
1. the domain
11. the range
III. the axis of symmetry

Answers

Answer:

i: the domain.

iii: the axis of symmetry.

Step-by-step explanation:

We have the function:

f(x) = x^2

The domain of this function is the set of all real numbers, and the range is:

R: [0, ∞)

(because 0 is the minimum of x^2)

Now we have the transformation:

d(x) = f(x) + 9 = x^2 + 9

Notice that this is only a vertical translation of 9 units, then there is no horizontal movement, then the axis of symmetry does not change.

Also, in d(x) there is no value of x that makes a problem, so the domain is the set of all real numbers, then the domain does not change.

And d(x) = x^2 + 9 has the minimum at x = 0, then the minimum is:

d(0) = 0^2 + 9 = 9

Then the range is:

R: [9,  ∞)

Then the range changes.

So we can conclude that the attributes that will be the same for f(x) and d(x) are:

i: the domain.

iii: the axis of symmetry.

Can someone please help me I’m desperate it due tomorrowwww

Answers

Answer:

Step-by-step explanation:

First box: m=1/2

Second box: m=2

Third box: m=1

Fourth box: m=2

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

54

Step-by-step explanation:

you can use a proportion to solve:

6/3=x/27

3x=27x6

3x=162

x=54

Answer:

I Know you already have an answer but its 5

Step-by-step explanation:

I dont mean to steal points and you still have no answer I just figured you already have an answer so I see no wrong in doing this

12 girls are having a sleepover at a house, the food there can last them for 10 days. If 3 more girls came over, how long will food last

Answers

Answer:

The answer is 8

Step-by-step explanation:

12*10=120 120/15=8

Plss I need help

ASAP

Answers

Answer:

21x+56 %thats ur answer hope it worked !

Answer:

21x

Step-by-step explanation:

ssjsjsjsjsjsssjsjsss

-2x + 4 = 104
Please help

Answers

Answer:

x = -50

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+4=104

Step 1: Subtract 4 from both sides.

−2x+4−4=104−4

−2x=100

Step 2: Divide both sides by -2.

−2x/-2  100/-2

=-50  

Evaluate f(4)  for the function f(x)=3x-5
A.12
B.7
C.9
D.17​

Answers

the answer is b.7

Step-by-step explanation:

because you have to plug in the f(4) to the equation like this

f(4)=3(4)-5

and then multiple 3x4 which is 12 then subtract 12 and 5 and you get 7.

The matrix is used to solve a problem. Which of the following would be a solution to the problem?

Answers

The answer would be c because I know

The solution of f (x) = -3 (2)^x and g(x) =x-14 is x = ____

Answers

f(0)= -3 that’s your answer

WILL MARK BRAINLIEST! Solve for x and each angles measure. Only asking for #5. Thank you!

Answers

Answer:

Step-by-step explanation:

2x + 3x + 135 = 180                            Every triangle has 180 degrees

5x + 135 = 180                                    Subtract 135 from both sides.

5x = 45                                               Divide by 5

x = 9

2x =                  18

3x =                  27

Other angle   135

Total              280

A student eats 7 servings of vegetables and 4 servings of fruits one day. Which statement is true?

Answers

Answer:

Step-by-step explanation:

B

what is the measurement of jkl​

Answers

Answer:

The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.

Step-by-step explanation:

Please mark as brainliest!

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

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