The baseball diamond at a playground is a square with sides that measure 70 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth.
A baseball diamond represented by a square oriented so that the diagonal of the square running from home plate to 2nd base is vertical.
70 feet
140 feet
9,800 feet
99 feet

Answer: B

Step-by-step explanation:

A=a2

P=4a

Solving forA

A=1

16P2=1

16·722=  324in²

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Measure of its each edge = [tex]\sf\red{8feet.}[/tex]

[tex]\rightarrow[/tex] Height of each lateral surface (or slant height) = [tex]\sf\red{15feet.}[/tex]

[tex]\sf\large\underline{\star To\: Find:-}[/tex]

[tex]\sf\large\underline{\star Formula \:Used:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf\blue{a^2+2al}[/tex]

Where,

[tex]\sf\pink{a^2}[/tex] [tex]\sf{=\: Area \: of\: base.}[/tex]

[tex]\sf\pink{a}[/tex][tex]\sf{=\: Side \:of \:the\: base.}[/tex]

[tex]\sf\pink{l}[/tex][tex]\sf{=\: Slant \:height}[/tex]

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf{a^2+2al}[/tex](putting the value of [tex]\sf{a^2}[/tex], a and l)

[tex]\rightarrow[/tex] [tex]\sf{=\: 8^2+2(8×15)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 304feet^2}[/tex]

Therefore, surface area of the given square pyramid [tex]\sf\purple{=\: 304feet^2.}[/tex]

___________________________________

Hope it helps you:)

Answer: B. The ball is less likely to be a racquetball than a golf ball.

Step-by-step explanation:

Imagine a bin. You are storing different sports balls in the bin. You put 20 baseballs, 24 golf balls, 9 tennis balls, and 6 racquetballs in the bin. Can you name which ball is most likely to be chosen if you grabbed one out at random? The answer is the golf ball.

This is because there are more golf balls than any other type of ball. For example, there are 24 golf balls, yet there are only 20 baseballs. This means that you are more likely to pick a golf ball.

Remember that there are 6 racquetballs while there are 24 golf balls. There are 4 times more golf balls than racquetballs in the bin. This means that you are 4 times more likely to pick a golf ball than a racquetball when you take a ball out of the bin at random.

Since there are many more golf balls than racquetballs, you are more likely to grab a golf ball than a racquetball. This means that the ball is less likely to be a racquetball than a golf ball.

(If you are confused, imagine freshly baked cookies. You cooked 12 cookies.

8 cookies are chocolate chip

3 cookies are oatmeal raisin

1 cookie is peanut butter.

If you grab a cookie at random, with your eyes closed, you are most likely to pick the chocolate chip cookies. This is because there are more chocolate chip cookies than oatmeal raisin cookies or peanut butter cookies)

The correct options are interest, principal, increase.

According to the calculator, by year 10, the majority of demarco and Tanya’s payments will go toward the. by year 20, the majority of demarco and tanya’s payments will go toward the.

over time, the amount paid toward the principal will.

1. interest

Interest is a fee paid for borrowing money or other assets

2. principal

3. increase

Therefore the correct options are interest,principal,increase

To learn more about the amount paid visit:

https://brainly.com/question/26670496

According to the calculator, by year 10, the majority of Demarco and Tanya’s payment will go toward the

✔ interest

.

By year 20, the majority of Demarco and Tanya’s payment will go toward the

✔ principal

.

Over time, the amount paid toward the principal will

✔ increase

.

0.62% of the adult pandas weight over 250 pounds

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)  / standard deviation

Given mean of 200 pounds and a standard deviation of 20 pounds.

For x > 250 pounds:

z = (250 - 200) / 20 = 2.5

P(z > 2.5) = 1 - P(z < 2.5) = 1 - 0.9938 = 0.62%

0.62% of the adult pandas weight over 250 pounds

Find out more on z score at: https://brainly.com/question/25638875

Answer:

The son is 13 and the father is 39,

Step-by-step explanation:

x= dad's age

y= 1/3x= boy's age

x+y=52

Substitute y=1/3x

x+1/3x=52

1 1/3x= 52

4/3x= 52

Multiply by reciprocal on both sides

(3/4)(4/3x)= (52)3/4)

x= (52*3)/4

x= 156/4

x=39 dad's age

Substitute x answer in to find boy's

y= 1/3x= 1/3(39)= (1*39)/3= 39/3= 13 boy's age

Check:

13+39= 52

Answer:

I got x= 57 degree

Step-by-step explanation:

Steps in the photo-

Answer:

57 degree

Step-by-step explanation:

Like what he said.

Answer:

3 hope it helps

2

Hope it helps.

Do comment if you have any query.

Answer:

Plane A because it was 27.43 miles away

Step-by-step explanation:

~Kandy~

hope this helped!

brainliest please!

lol, just answered my own question.

Answer:

0; 60; 360°.

Step-by-step explanation:

1) to solve the given equation without limitation;

2) to apply the given limitation to the solution of the given equation.

all the details are provided in the attachment. The answer is marked with red colour.

Note, the provided way is not the shortest one.

well, if its base has a diameter of 12, that means its radius is half that, or 6.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ V=1086 \end{cases}\implies 1086=\cfrac{\pi (6)^2 h}{3}\implies 3528=36\pi h \\\\\\ \cfrac{3528}{36\pi }=h\implies 31.19\approx h[/tex]

Answer:

Step-by-step explanation:

Ratio of side of the 30-60-90 triangle is x : x√3 : 2x

Side opposite to 30° is the shortest leg and it is a

Side opposite to 60° is the longest leg and it is a√3

side opposite to 90° is hypotenuse and it is 2a and it the longest side.

7) a = 8 (Which is opposite to 30°)

 w = 2a = 2*8

w = 16

v = √3a = √3 *8

v = 8√3

8) a√3 = 5√3   (Which opposite to 60°)

   a = 5√3 ÷√3

y = a ⇒y= 5

x = 2a

  = 2*5

x = 10

9) hypotenuse = 10

2a = 10

a = 10 ÷ 2

a = 5

x = a√3

x = 5√3

y = a

y = 5

Answer:

c is the answer  try C

Step-by-step explanation:

[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

C

Answer: C. The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

Answer:

You're going to need more to this question

Step-by-step explanation:

what is the rest of it

Answer:

The answer is x=2, -2

Step-by-step explanation:

The explanation is in the pic.

Answer:

[tex]X^2=2[/tex]

The tiny two means square, meaning multiply the number behind it by itself.

First, start with exponents, in this case, squares.

[tex]2*2=4[/tex]

Second, yet last, multiply eight by four.

[tex]8*4=32[/tex]

With that information, your answer is [tex]2[/tex]

Answer:

18

Step-by-step explanation:

x =27-9

=18

Answer:

C.

Step-by-step explanation:

Hope this helped!

Answer:

.5357

Step-by-step explanation:

Follow PEMDAS

Multiplication (M) comes before division (D)

Therefore, solve the multiplication expressions first:

2 * 3 * 5 = 30

and

7 * 8 = 56

Now Division:

30 / 56 = .5357

Answer:

A.

Step-by-step explanation:

Hope this helps.

pls give me brainiliest

Answer:

The sum of 4 and a number

4+x

Divided by 2 is less than -6

4+x/2<-6

☆anvipatel77☆

•Expert•

Brainly Community Contributor

#b

Attached

#a

So

General equation of parabola

let's note the changes

Answer:

Transformation of f(x) to g(x):

(see attachment for graphs)

Step-by-step explanation:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\!\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

Parent function:

[tex]f(x)=x^2[/tex]

Translated 2 units to the right:

[tex]\implies f(x-2)=(x-2)^2[/tex]

Stretched vertically by a factor of 2:

[tex]\implies 2f(x-2)=2(x-2)^2[/tex]

Translated 1 unit up:

[tex]\implies 2f(x-2)+1=2(x-2)^2+1[/tex]

Therefore, the transformation of f(x) to g(x) is:

Learn more about translations here:

https://brainly.com/question/27815602

went at 3:45 PM

left at 7:45 PM

the duration she was at the library.

( to find the duration just find the difference of the time she left and she went.

= 4 hours

so, she was at the library for 4 hours.

we know that sin(θ) is 4/5, and we also know that θ is in the I Quadrant, where sine and cosine are both positive, so

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-4^2}=a\implies \pm 3=a\implies \stackrel{I~Quadrant}{+3=a}~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}[/tex]

Inga needs 3 more years to pay off the whole amount.

A portion of the monthly payment is called the principal, which is the original amount borrowed.

First year balance = $19,691.28

Monthly payment = $273.49

Annual payment = 273.49×12 = $3281.88

Remaining balance after 1 year = 19,691.28 - 3281.88 = $16,409,4

After 3 years balance = $9845.64

Hence, Inga needs 3 more years to pay off the whole amount.

To know more about monthly payments click the link given below.

https://brainly.com/question/26353929

Answer:

3 years

Step-by-step explanation:

I did the test.

E-DG-E

The data in the table is an illustration of a quadratic equation, and the quadratic equation that models the data is (d) y = -0.15x² + 2x + 5.5

A quadratic model is represented as:

y = ax² + bx + c

Using the point (x,y) = (0,5.5);

We have:

a(0)² + b(0) + c = 5.5

This gives

c = 5.5

Substitute c = 5.5 in y = ax² + bx + c

y = ax² + bx + 5.5

Using the point (x,y) = (1,7.35);

We have:

a(1)² + b(1) + 5.5 = 7.35

This gives

a + b + 5.5 = 7.35

Subtract 5.5 from both sides

a + b = 1.85

Using the point (x,y) = (2, 8.9);

We have:

a(2)² + b(2) + 5.5 = 8.9

This gives

4a + 2b + 5.5 = 8.9

Subtract 5.5 from both sides

4a + 2b = 3.4

Divide through by 2

2a + b = 1.7

Subtract a + b = 1.85 from 2a + b = 1.7

2a - a + b - b = 1.7 - 1.85

This gives

a = -0.15

Substitute a = -0.15 in 2a + b = 1.7

-2 * 0.15 + b = 1.7

This gives

-0.3 + b = 1.7

Add 0.3 to both sides

b = 2

Substitute a = -0.15 and b = 2 in y = ax² + bx + 5.5

y = -0.15x² + 2x + 5.5

Hence, the quadratic equation that models the data in the table is (d) y = -0.15x² + 2x + 5.5

Read more about quadratic equations at:

https://brainly.com/question/10449635

#SPJ1

Answer:

2

Step-by-step explanation:294/7=42

only two day are left as u can see the graph from 40 percent to to percent