what is the volume of the triangular prism in cubic centimeters ?

Answer:

A = 20 + 2p

Step-by-step explanation:

Answer:

x(x+1)=10(x+1)+26

Step-by-step explanation:

Let the two consecutive positive integers be x and x+1.

The product of these two integers is x(x+1).

The largest of the two numbers is x+1.

By given, x(x+1)=10(x+1)+26.

Solved for the value of y and found that y = 5.

In the Pythagorean theorem, the sum of the squares of the sides of a right-angled triangle is equal to the square of the longest side i.e, the hypotenuse of the triangle.

z² = x² + y²

The given triangle is a right-angled triangle. This means that we can use the Pythagorean theorem.

∴ y² + 12² = 13²

⇒ y² + 144 = 169

⇒ y² = 169-144

⇒ y² = 25

⇒ y = 5

Therefore, we have solved for the value of y and found that y = 5. The correct answer is option C.

Learn more about the Pythagorean theorem here-https://brainly.com/question/343682

#SPJ2

Answer:

A

Step-by-step explanation:

4(y+4)=48

4y +16 =48

48-16=4y

32=4y

y=32/4

y=8

Answer:

A. 8

Step-by-step explanation:

4(y+4)=48

(y+4)=48/4

y+4=12

y=12-4

y=8

HOPE THIS HELPS

A≈50.27cm²

Using the formulas

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·82≈50.26548cm²

Answer:

16π cm^2

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex], r being the radius. The radius is always half of the diameter, so in this case, the radius is 4. [tex]4^{2}[/tex] is just 4 * 4 which is 16. Multiply that by π and you get 16π. Or, approximately 50.27 cm^2

Answer:

7.142857142857143

Step-by-step explanation:

500/70*10=answer above.

ratio of 500 km to 100 km is 5 : 1

Answer:

hypotenuse is about 33 ft long

Step-by-step explanation:

a^2+b^2=c^2

a= 30

b=14

30^2+14^2= 1096 =c^2

[tex]\sqrt{1096}[/tex]=c

33.1=c

hypotenuse is about 33 ft long

Answer:

No, the Hypotenuse is 33.11

Step-by-step explanation:

The formula for finding a hypotenuse is:

[tex]\sqrt{x^2+y^2}[/tex]

x=30 and y=14 here

[tex]x^2=900[/tex]

[tex]y^2=196[/tex]

[tex]x^2+y^2= 1,096[/tex]

[tex]\sqrt{1,096} = 33.11[/tex]

So it would be about 33, not 39

Answer:

Step-by-step explanation:

ΔLMN = ΔOPR ----- (given)

NM / NL = RP / RO

19 / 34 = 60 / RO

RO = 60 × 34 ÷ 19

RO = 107.36

Answer:

75

Step-by-step explanation:

I'm not sure l am strugging with this topic too

explanation:total=addition

area=base x height plus the width (area the amount beneath the surface).

equation:3cm both sides 3cm

answer: 3+3= 6cm .

Answer: 36

Step-by-step explanation:

Formula: 2 pi rh + 2 pi r2

2 pi 3 • 3 + 2 pi 9

Leave answers in terms of pi

18 pi + 18 pi = 36 pi

Answer = 36

Answer:

Step-by-step explanation:

The slope-intercept formula is:

y = m x + b,

or: y = b - m x, since the rate is negative.

For the 1st formula we have: y = 30 and x = 2

For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing  )

30 = b - 2 m

12 = b - 5 m

--------------------

b = 30 + 2 m

12 = 30 + 2 m - 5 m

3 m = 18

m = 18 : 3 = 6

b = 30 + 2 * 6 = 30 + 12 = 42

Answer:

y = 42 - 6 x

Answer:

B) -1/2

Step-by-step explanation:

Slope is change in y divided by change in x.

So, 6-4/-4-0 = 2/-4 so reduces to -1/2

Answer:

Slope = -4

Step-by-step explanation:

Slope = change in y ÷ Change in x

         [tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-4}{5-4}\\\\= \frac{-4}{1}\\\\= - 4[/tex]

Answer:

9 ft

Step-by-step explanation:

Hope this helps!

Have a great day!

Answer:

0.24

Step-by-step explanation:

(13 - 3) 2 / 50

10 + 2 / 50

12 / 50

=0.24

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Exact form: 2/5

Decimal: 0.4

Step-by-step explanation:

Answer:

Given that is a 45-45 triangle, the hypotenuse should be x[tex]\sqrt{2}[/tex], so in this case. The hypotenuse should be 3[tex]\sqrt{2}[/tex], and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!

Step-by-step explanation:

Answer:

base =3in and hypotenuse =3√2

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin 45=p/h

sin45=3in/h

h=3in/sin45=3√2 inch

relationship between perpendicular and base is given by tan angle

tan45=P/b

b=3in/tan45=3in

Answer:

We combine like terms to get [tex]10x^{2} + 3x - 6[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

so by "exact" they mean leave in the [tex]\sqrt{x}[/tex] parts.... sooo

they tell us the Hypotenuse  ( Hyp) and one  angle and want that side Opposite ( Opp)  of the angle... sooo use the mnemonic

SOH CAH TOA  

to help remember how the sin , cos, and tan functions fit on a triangle

there problems b/c easy A's when you get this.  :P so learn it, know it, live it  :D

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

now look at which one of the above formulas have the things we know and want to find

Sin looks like a good choice b/c it's got  Opp, which we want to find, and Hyp which we know and also an angle which we can plug into the function

Sin(45) = Opp / 6

see how I got that?

[tex]\sqrt{2}[/tex] / 2 = Opp / 6

6 ( [tex]\sqrt{2}[/tex] / 2 ) = Opp

3[tex]\sqrt{2}[/tex]  = Opp

the problem says leave it exact.. so don't try to reduce [tex]\sqrt{2}[/tex]  just leave it

there is  your answer

X  = 3[tex]\sqrt{2}[/tex]

Answer:

18π

Step-by-step explanation:

Answer:

-540

Step-by-step explanation:

5(25x+ 2x - 4)

5(27x - 4)

-540

Answer:

[tex]EF=4\sqrt{3}[/tex]

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

[tex]A_{\text{rect}}=8(6)=48\text{ cm}^2[/tex]

The area of the triangle is 1/4 of this. Therefore:

[tex]\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2[/tex]

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

[tex]\displaystyle 12=\frac{1}{2}(DE)(DF)[/tex]

Since DE = DF:

[tex]24=DF^2[/tex]

Thus:

[tex]DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE[/tex]

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

[tex](DE)^2+(DF)^2=(EF)^2[/tex]

Therefore:

[tex](2\sqrt6)^2+(2\sqrt6)^2=EF^2[/tex]

Square:

[tex]24+24=EF^2[/tex]

Add:

[tex]EF^2=48[/tex]

And finally, we can take the square root of both sides:

[tex]EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}[/tex]

Answer:

4\sqrt3

Step-by-step explanation:

we know that the area is 6 * 8 = 48 cm^2. because triangle DEF is one fourth of that, triangle DEF's area would be 12.

to find the hypotenuse of triangle DEF, we would first need to find the bases (which have equal lengths). 1/2 * b * b = 12, so b^2 = 24. using the pythagorean theorem, we have \sqrt24 + \sqrt24 = h^2 which means h is the sqrt of 48. simplified, we have 4\sqrt3.

Answer:

11'12

Step-by-step explanation:

so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)

Answer:

The answer is 30.2

Step-by-step explanation:

subtract 8. Then divide by 2

Answer: 30.2

Step-by-step explanation: so 68.4 - 8 because Angad added 8 so we have to subtract that. So 60.4 divided by 2 because Angad doubled the number,  gets us 30.2.

Hope I could help!

Answer:

Step-by-step explanation:

34/3 is a fraction.

Any number that can be expressed as a fraction is a rational number.

Correct choice is C

Answer:

67

Step-by-step explanation:

Number: AB

A = B-1

BA + AB = 143

10*B + A + 10*A + B = 143

11A + 11B = 143

A + B = 13

(B-1) + B = 13

2B = 14

B = 7

A = 6

The number is 67

check: 6 = 7-1   and   67 + 76 = 143

Answer:

79, 007, 000

Step-by-step explanation:

79, 007, 000

Hope that helps!

Answer:

seventy-nine million seven thousand

Step-by-step explanation:

#WhenYouSideStepTheProblem

Answer:

2 units. Hope this helps!