The volume of this triangular prism is 32 cubic inches. What is the value of d?

Answer:

7

3

Step-by-step explanation:

First Solution

X=7

4= 12

Making X Subject of the formula

we have,

X= 7×4 = 28 = 14 = 7

12 12 6 3

OR

You cross multiply

X multiplies 12= 12X

7 multiplies 4= 28

you now have 12X=28

divinding both sides by 12,

12 cancels 12 and leave X

Answer:

x = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

[tex]\frac{x}{4}[/tex] = [tex]\frac{7}{12}[/tex] ( cross- multiply )

12x = 28 ( divide both sides by 12 )

x = [tex]\frac{28}{12}[/tex] = [tex]\frac{7}{3}[/tex] ← in simplest form

Answer: m= y/3x + 8/3x

Step-by-step explanation:

Answer: She will earn $352.92 as interest.

Step-by-step explanation:

Formula for compound interest[tex]= P((1+r)^t-1)[/tex]

, where P= principal value, r = rate of interest(in decimal) , t= time

As per given , we have

P = $2,500

r =  4.5% = 0.045

t= 3 years

then, Compound interest = [tex]2500((1+0.045)^3-1)=2500((1.045)^3-1)[/tex]

[tex]=2500(1.141166125-1)=2500(0.141166125)\\\\\approx\ \$352.92[/tex]

Hence, she will earn $352.92 as interest.

Answer:

4.089

Step-by-step explanation:

24 degree is the Angle of elevation. SO we can use in this triangle Tan.

So tan 24 = AB/BC because tan is the ratio of height over adjacent.

So we can say it is tan 24 = (1.82)/BC

So BC = (1.82)/tan(24) = 4.089m

BC is representing shadow of men. So shadow of men is 4.089m

Answer:

Since 2032 gt 1651, we divide 2032 by 1651 to get 1 as quotient and 381 as remainder. step 2. Since the remainder 381≠0 , we divide 1651 by 381 to get 4 as quotient and 127 as remainder.

Step-by-step explanation:

Euclid algorithm lemma, a = bq + r where 0 ≤ r < b

From Euclid algorithm lemma, 2032 = 1651 × 1 + 381

Using lemma for 1651 and 381, e.g., 1651 = 381 × 4 + 127

Similarly, use lemma for 381 and 127, e.g., 381 = 127 × 3 + 0

Hence, HCF = 127

Now, 127 = 1651M + 2032 N

⇒127 = (127 × 13)M + (127 × 16)M

⇒1 = 13M + 16 N

Here many solutions possible because we have one equation contains two variable.

Assume M = 5 and N = -4

Then, 13 × 5 + 16 × -4 = 65 – 64 = 1

So, HCF of 1651 and 2032 in the form of 1651M + 2032 N is [1651(5) + 2032(-4)]

Answer:

πr² x h and πr² x 2h

Step-by-step explanation:

Volume of Cylinder = base area x height
Volume of Cylinder = πr² x h

Volume with same radius but double the height:

Volume = πr² x 2h

The expression of the league fee is an algebraic expression

The expression that represents the league fee is 14x

The expression is given as:

14x + 20(2y + ) 5z + 10

The expression is not properly stated;

Only the league fee can be deducted from the given expression.

From the question, we understand that there are 14 players in total

i.e you (1) and (13) others

This means that the total league fee for the 14 players is:

Total = 14 * League fee for each player.

One of the terms of the expression is 14x.

So, we have:

14 * League fee for each player. = 14x

Hence, the expression that represents the league fee is 14x

Read more about algebraic expressions at:

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Answer:

use the picture to solve the equation

Answer:

Step-by-step explanation:

4-t=3t-3-5

-t-3t= -8-4

-4t=-12

t=12/4

t=3

Good luck!

Answer:

i6ttttttttttttttttttttttt

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

1/4 of 30 =

30 divided by 4 = 7.5

Step-by-step explanation:

B

Answer:

[tex]4\pi[/tex]

Step-by-step explanation:

S = Arc Lenth

θ = Radians

R = Radius

S = θR

So, now that we understand the formula, we will convert 72° into radians by introducing the equation [tex]x*\frac{\pi }{180}[/tex], x = 72

S =  [tex]72*\frac{\pi }{180} * R[/tex]

given that R = 10

S = [tex]\frac{72*10*\pi }{180}[/tex]

S = [tex]\frac{720*\pi }{180}[/tex]

We simplify 720 as 180 goes into 720 4 times and we get

S = [tex]4\pi[/tex]

Hope this helps

Answer:

It does NOT represent a function

Step-by-step explanation:

This DOES NOT represent a function because in the diagram 1 is connected to 8 and -3. If it was a function the number would connect to only one of them.

Answer:

The number of locks will be 3

The total cost = $50

Step-by-step explanation:

We are trying to write the equations of the cost in the form of the equation of a straight line

The equation will be;

C = F + 15r

where F is the price for house lock , C is total cost and r is the amount per rekey

For the first locksmith;

His equation will be ;

C = 25 + 15r

For the second

C = 10 + 20r

If the total cost is the same for both;

then;

10 + 20r = 25 + 15r

20r - 15r = 25 - 10

5r = 15

r = 15/5 = 3

For the total cost to be same, number of locks is 3

The total cost will be ;

C = 20 + 10(3) = 20 + 30 = $50

Step-by-step explanation:

3.3rd option

4.1st option

5.x=-10

6.x=6

7.109

8.75

9.24

10.19

Answer:

1: 3 billion

2: 1/1/14

Step-by-step explanation:

Hope this helps! Have a nice day!

Answer:

f(x)=-5(2)-9

Step-by-step explanation:

linear equation- f(x)=m(x)-y

x- the x intercept

y- the y intercept

m- slope

x=-5, y=-9 , m=-5

-5h-3(10+h) = -6

-5h-30-3h = -6

Add/subtract like terms

-8h -30 = -6

Add 30 to both sides

-8h = 24

Divide by -8 to isolate h

h = -3

Answer:60 degrees

Step-by-step explanation:

Exterior angle =360/number of sides

Sides=6

⇒ Exterior angle=360/6

Exterior angle=60 degrees

Answer: i believe your answer is c! i hope that helps!

Step-by-step explanation: im sorry ifs not, im not the gratest at this:(

Answer:

Step-by-step explanation:

3x+2x is 5x

6+14 is 20

5x+20  

if you are looking for this answer

x=4

divide 5 by 5x and 20 by 5

Answer:

You can say that √105 is somewhere between 10 and 11 because 105 lies between the squares of 10 and 11 (100 and 121, respectively). However, 105 isn't a perfect square, so you can't really find its exact square root. If you have a calculator with you, you can solve for an approximate of √105 which is 10.246950766.

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

first plus both sides by b

then divide both sides by a

Answer:

option h is correct.

Step-by-step explanation:

i.e making y the subject of the equation.

The correct answer for the given question is C. She should find the squares of numbers between 5.4 and 5.5.

Square of a number is the product of integer with itself.

Now it is given that Maria is trying to estimate 30.

To find the value of 30 let us take the root of 30.

So, √30 = 5.4772

Since 7 to the right of 7 is greater than 5

Round to the nearest hundredth,

√30 = 5.48

Hence, 5.48 is the nearest square of 30.

From the table we see that the nearest digit to the 30 is 5.4² and 5.5²

The value of 5.4² given in the table is 29.2.

and the value of 5.5² given in the table is 30.3.

Hence,she should do next to find 30 to the nearest hundredth is to  find the squares of numbers between 5.4 and 5.5.

Therefore,The correct answer is C. She should find the squares of numbers between 5.4 and 5.5.

More about square of number :

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Answer:

Option D

Step-by-step explanation:

See attached image

Answer:

8

Step-by-step explanation:

32 is equivalent to 32/1. So you can treat this as 1/4 x 32/1. Then, multiply the numerators together and then the denominators together. You will get 32/4. Simplified, this is equal to 8.

Answer:

20%

Step-by-step explanation:

200÷1000×100

.......

Answer:

x=12

Step-by-step explanation:

For the given situation , a quantity x is added to [tex]\frac{1}{4} x[/tex] gives 15.

We can set up equation as

[tex]x+\frac{1}{4}x=15[/tex]

Multiply each term by 4 on both sides to get rid the denominator.

It gives,

4 x+x=60

Now, combine like terms

5 x=60

Divide both sides by 5

x=12.