What is the volume of the prism given below?

Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.

Mama L [17]

Answer:

Step-by-step explanation:

RS + ST = RT

6y + 3 + 4y + 7 = 60

6y + 4y + 3 + 7 = 60

10y + 10 = 60

10y = 60 - 10

10y = 50

y = 50/10

y = 5

RS = 6*5 + 3 = 30 +3 = 33

ST = 4*5 + 7 = 20 + 7 = 27

6 0

3 years ago

Read 2 more answers

In a given figure if o is the centre of circle and oabc is a parallelogram find the value of abc

ahrayia [7]

From the given information, we get the value of ABC = 120°.

<h3>How to estimate the value of ABC?</h3>

Given: In the figure, O exists the center of the circle and OABC exists as a parallelogram.

Now, the radius of the circle exists

OA = OB = OC

Opposite sides of a parallelogram are equal

AB = OC and OA = BC

In ∆OAB,

OA = OB = AB and,

In ∆OCB,

OC = OB = BC

Therefore, ∆OAB and ∆OCB exist in equilateral triangles.

All angles of an equilateral triangle are equivalent to 60°.

Hence, ∠ABC = ∠OBA + ∠OBC

∠ABC = 60° + 60°

∠ABC = 120°

Therefore, the value of ∠ABC = 120°.

To learn more about parallelogram refer to:

brainly.com/question/24291122

#SPJ9

6 0

1 year ago

If r = 8 units and h = 10 units, what is the volume of the cylinder shown above? use 3.14 for pi,

Basile [38]

I hope this helps you

Volume =pi.r^2.h

Volume =3,14.8^2.10

Volume =31,4.64

Volume =200,96

8 0

3 years ago

Is 1/3 greater than 1/2???????????

CaHeK987 [17]

Answer:

no

Step-by-step explanation:

half is bigger then 1/3 think of it like this split a pizza into 2 pieces and the other into 3 take one out of both which is bigger if that helps

8 0

3 years ago

Help me please ;-;!!!!! Use a coordinate grid to create a map of a town with at least five different locations, such as a house,

Sholpan [36]

A. Our diagram have six location: my house (2,1), a movie theater (5,3), the school (6,6), the police station (3,-2), the airport (-3,3), and the mall (-2,-3)

B. Distance between my house and the movie theater:
To calculate the distance we are going to use the points (2,1) and (5,3) to create a right triangle with tow legs of measures 3 and 2; the hypotenuse of the right triangle will be the distance between my house and the movie theater.
Using the Pythagorean theorem:
$d^2=3^2+2^2$
$d^2=9+4$
$d^2=13$
$d= \sqrt{13}$
We can conclude that the distance between my house and the movie theater is $\sqrt{13}$

Our second distance is the distance between the police station and the airport:
This time we are using the points (3,-2) and (-3,3) to create a right triangle with legs of measures 6 and 5; the hypotenuse of our triangle will be the the distance between our points:
$d^2=6^2+5^2$
$d^2=36+25$
$d^2=61$
$d= \sqrt{61}$
We can conclude that the distance between the police station and the airport is $\sqrt{61}$

C. Distance form the park to the Fire Station:
$d^2=3^2+1^2$
$d^2=9+1$
$d^2=10$
$d= \sqrt{10}$
We can conclude that the distance from the park to the Fire Station is $\sqrt{10}$

Distance from the stadium to the mall:
$d^2=2^2+1^2$
$d^2=4+1$
$d^2=5$
$d= \sqrt{5}$
We can conclude that the distance from the stadium to the mall is $\sqrt{5}$

D. What is the distance between your house and the mall?
Answer:
$d^2=4^2+4^2$
$d^2=16+16$
$d^2=32$
$d= \sqrt{32}$
$d=4 \sqrt{2}$
We can conclude that the distance between my house and the mall is $4 \sqrt{2}$

What is the distance between the movie theater and the school?
answer:
$d^2=3^2+1^2$
$d^2=9+1$
$d^2=10$
$d= \sqrt{10}$
We can conclude that the distance between the movie theater and the school is $\sqrt{10}$

7 0

2 years ago