A right prism of height 14 inches has a base made of a rhombus whose diagonals are 6
inches and 8 inches long.

Answers

Answer 1

Answer:

(a)24 square inches

(b)280 Square Inches.

(c)192 cubic inches

Step-by-step explanation:

(a)Given the diagonals of a rhombus:

Area=½ X Product of the diagonals

Therefore:

Area=½ X 6 X 8

Base Area=24 square inches

(b)Lateral Area

Lateral Area of a Prism=Base Perimeter X Height

Applying Pythagorean Triples(3,4,5) in the attached triangle

Side Length=5 inches

Base Perimeter=4*5=20 Inches

Lateral Area =20*14=280 Square Inches.

(c)Volume

Volume of a Prism=Base Area X Height

=24*8

Volume=192 cubic inches

A Right Prism Of Height 14 Inches Has A Base Made Of A Rhombus Whose Diagonals Are 6inches And 8 Inches

Related Questions

Please help as quick as you can! Question is below! Brainliest!

Answers

Answer:

Cylinder =   [tex]\pi[/tex]* [tex]r^{2}[/tex] * h

Rectangle =   l*w*h

Cone =   1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h

Pyramid =   1/3 b*h

Step-by-step explanation:

Two sides is a triangle have the following measures. Find the range of possible measures for third side.

Answers

Answer:

last one

Step-by-step explanation:

the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe

6 < x < 64

Therefore, option b) is correct.

Step-by-step explanation:

Given :

Two sides of the triangle -- 35 , 29

Solution :

Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.

Then ,

y - z < x < y + z

35 - 29 < x < 35 + 29

6 < x < 64

Therefore, option b) is correct.

For more information, refer to the link given below

https://brainly.com/question/2773823?referrer=searchResults

help me please ( i’ll give 20 points for this )

Answers

Answer:

108

Step-by-step explanation:

add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)

Answer:

64°

Step-by-step explanation:

See the angle is smaller than 108° and it is not 90° so the answer is 64°

( Quick Response) Which expressions are equivalent?

Answers

Answer:

A, 3x-7y=-7y+3x

Step-by-step explanation:

Solve for b.

b + 0.6 = -1

What is the answer ?

A. b = -1.6
B. b = -0.4
C. b = 0.4
D. b = 1.6

Answers

The answer is -1.6 because if the .6 is positive and then you add it to -1.6 than you get -1.

Find the 66th term in the following
arithmetic sequence :
--92, -85, -78, -71, ...

Answers

Answer:

363

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 92 and d = - 85 - (- 92) = - 85 + 92 = 7 , thus

[tex]a_{66}[/tex] = - 92 + (65 × 7) = - 92 + 455 = 363

Answer:

363.

Step-by-step explanation:

We see that each term increases by 7.

This is an arithmetic sequence with first term (a1) = -92  and the common difference (d) is 7.

an = a1 + (n - 1)d

a66 = -92 + (66 - 1)7

= -92 + 455

= 363.

My bathtub holds 21 gallons of water. How many pints of tomato juice do i need to fill my tub?

Answers

Answer:

168

Step-by-step explanation:

21 x 8 pints in a gallon is 168

Which two consecutive integers does −[tex]\sqrt{155}[/tex] lie between?
A) 11 and 12
B) 12 and 13
C) −11 and −12
D) −12 and −13

Answers

It lies between 12 and 13
-12 and -13 i think
So D

How many peaks does this graph have? Algebra 1

Answers

Answer:

One. see it for the ages of 50-59.

Please help me on number one I will mark you as the best answer

Answers

Answer:

-4n - 40 > -120

<=> -4n > -80

<=> 4n < 80

<=> n < 20

=> Option B is correct.

q/(-7) + 1 > 5

<=> q/(-7) > 4

<=> q < 4 x (-7)

<=> q < -28

=> Option C is correct.

Hope this helps!

:)

Please help. Question below.

Answers

Answer:

See explanation

Step-by-step explanation:

Let's go over the definition of each term.

Mean: Average of all the data. Find by adding all the terms, then dividing that by the amount of terms

Median: Value in the middle of the data when the values are in order. Find by locating the term in the middle position.

Mode: The number or numbers that occur most often in the data.

Range: Difference between the highest and lowest values in the data. Find by subtracting the lowest value from the highest.

Outlier: A number or numbers that are different from the rest of teh data and cannot be accurately included.

Now, let's find the answers.

32 + 25 + 21 + 32 + 7 + 26 + 32 + 35 + 37 + 36 + 25 + 25 + 62 + 36 = 431

431/14 = 30.8. Therefore, the mean is 30.8.

When the numbers are in order, they look like this:

7, 21, 25, 25, 25, 26, 32, 32, 32, 35, 36, 36, 37, 62.

Since there are two numbers in the middle, 32 and 32, find the average of the two numbers. 32 + 32 / 2 = 32.  Therefore, the median is 32.

The numbers that occur most often are 25 and 32, which each occur three times. Therefore, the modes are 25 and 32.

The largest value is 62 and the smallest is 7. 62 - 7 = 55. Therefore, the range is 55.

There are two numbers that are much higher or much lower than the rest of the data: 7 and 62. Therefore, the outliers are 7 and 62 (hint: if you're sure there are outliers, check the highest and lowest numbers in the data).

Order the following numbers from greatest to least: 2, -1 , 2.58, -1.65. -1, -1.65, 2, 2.58 2.58, 2, -1.65, -1 2.58, 2, -1 , -1.65 -1.65, -1, 2, 2.58

Answers

Answer:

2.58, 2.58, 2.58, 2.58, 2.58, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1.65, -1.65, -1.65, -1.65, -1.65

Step-by-step explanation:

The numbers are in greatest to least.

2.58, 2 1/3, -1.65, and -1 3/4

Step-by-step explanation:

positive then negatives

Please help fast!!!

Fill in the missing value:

A.) 17
B.) 168
C.) 13
D.) 7

Answers

Answer:

13

Step-by-step explanation:

Use the pythagorean theorem where 12 squared plus 5 squared is the square of the hypotenuse. 12 squared is 144 and 5 squared is 25. 144+25=169. Taking the square root of 169 we get 13. Therefore the missing side is 13 units long.

Hope this helps! (Please mark Brainliest)

Answer: D.) 7

Step-by-step explanation:

An equation has solutions of m= -5 and m = 9. Which could be the equation?
(m + 5)(m - 9) = 0
(m-5)(m + 9) = 0
m2 - 5m + 9 = 0
Om2 + 5m - 9= 0

Answers

Answer:

[tex](m+5)(m-9)=0[/tex]

Step-by-step explanation:

you set each of them equal to zero,

[tex]m+5=0[/tex]

[tex]m-9=0[/tex]

and solve for 'm'

Answer: Option A

(A)  (m +5 )( m-9 ) = 0

Step-by-step explanation:

Using the image below to answer the question. Using the segment addition postulate find the value of X

Answers

Its clear that EF+FG=EG
(7x+9)+(3x+4)=143
10x+13=143
10x=130
X=13

The value of x is 13. Therefore, option B is the correct answer.

Given that, EF=7x+9, FG=3x+4 and EG=143.

What is a line segment?

A line segment is a part of a line that connects two points which are considered to be its endpoints. It is the distance between two points that can be measured.

Now, EG=EF+FG

⇒143=7x+9+3x+4

⇒10x+13=143

⇒10x=130

⇒x=13

The value of x is 13. Therefore, option B is the correct answer.

To learn more about the line segment visit:

https://brainly.com/question/25727583.

#SPJ2

Find the distance between P and Q.

Answers

Answer: 10

Step-by-step explanation:

can someone please help me, 20 points!!!

Answers

Answer:

9.4 = x

Step-by-step explanation:

You are given the hypotenuse and the adjacent side, leading you to use cosine.

Set it up:

[tex]cos48 = \frac{x}{14}[/tex]

Multiply everything by 14, to remove it from the denominator:

[tex]14(cos48 = \frac{x}{14})[/tex]

[tex]14cos48=x[/tex]

Multiply accordingly:

9.36 = x

Round to nearest tenth:

9.4 = x

What is the solution to log 8x = 3?

Answers

answer : 3/8 or .375

8x=3

divide both sides by 8

x=3/8 or .375

A demand ___ is a graphic representation of the law of demand

a. schedule
b. curve
c. projection
d. model

Answers

Answer:

I think it is b. Curve

Step-by-step explanation:

Curve, b is the answer

What is f(0)?
Im pretty sure the answer is infinity or DNE.
Please help

Answers

Answer: It represents the y intercept of f(x). ... f(0) represents the ordinate of the point where the function intersects the y axis. This is the y intercept of the function.

Step-by-step explanation:

What’s this answer Im tried everything

Answers

Answer:

the answer is B, you can try graphing them if u need to verify it

The answer is B. You can graph it.

Find the area. Will mark brainliest.

Answers

Answer:

54 in^2

Step-by-step explanation:

9*12/2=54 in^2

Answer:

54

Step-by-step explanation:

The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.

hope this helps:)

If $125 is invested at an interest rate of 18% per year and is compounded continuously, how much will the investment be worth in 2 years?
Use the continuous compound interest formula A = Per
$123

Answers

Answer:

$174.05

Step-by-step explanation:

To find the value of the investment at a later date:

[tex]x * multiplier^n = y[/tex]

Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.

Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.

To convert this into a multiplier, you simply divide by 100:

118 ÷ 100 = 1.18

The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].

Finally, we substitute our values into the equation:

[tex]125 * 1.18^2 =174.05[/tex]

This means our final answer is $174.05.

Simplify: -51 - (-7½)​

Answers

Answer:

-43.5 or -43 1/2

Answer:

Your exact simplified form will be -87/2.

1 Beverly investe $18,000n an account that pays 5% annual simple interest. Beverly win
not make any additional deposits or withdrawals. How much interest Will Beverly earn on
her investment at the end of 5 years​

Answers

Answer:

She'll earn $4973.07 coming to an amount of $22,973.07

Step-by-step explanation:

Hello! Help please thank you

Answers

Answer:

30

Step-by-step explanation:

30
Plug it in the calculator

A rectangular, above-ground swimming
pool is 18 feet long, 9 feet wide, and 54
inches deep. One cubic foot of water weighs
about 62.4 pounds. What is the total weight
of the water in the pool when it is
completely full?
A. 158 lbs
B. 729 lbs
C. 8.748 lbs
D. 45,489.6 lbs

Answers

The answer is A. 158 lbs

simplify the expression​

Answers

Answer:

4k(2k² - 5k - 4) + 5(2k² - 5k - 4)

8k³ - 20k² - 16k + 10k² -25k - 20

8k³ - 10k² - 41k - 20

Thus its G

So the right answer is of option G.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Simplify the expression. 3⁹ x 3⁶ x 3⁶

Answers

Answer:

I might be wrong but I think this is the answer 10460353203

Step-by-step explanation:

Answer:

[tex]3^{21}[/tex]

Step-by-step explanation:

We have [tex]3^9 * 3^6 * 3^6[/tex].

Use the Product Rule for exponents: [tex]a^x *a^y=a^{x+y}[/tex]

[tex]3^9*3^6*3^6 =3^{9+6+6} = 3^{21} \\\\\text {So: }\\\\\boxed {3^9*3^6*3^6 = 3^{21}}[/tex]

The answer is also 10460353203, but [tex]3^{21}[/tex] is the best way to express this.  

Brainilest Appreciated.

Place the indicated product in the proper location on the grid.

(ab - 9)(ab + 8)


Answers

Answer:

(2b)

Step-by-step explanation:

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