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Iteru [2.4K]
3 years ago
5

Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of

the red prism is one third that of the blue prism. Which statement is true?
Mathematics
2 answers:
Inessa [10]3 years ago
8 0

Answer:

D

Step-by-step explanation:

valina [46]3 years ago
5 0

Answer:

D)The height of the red prism is three times the height of the blue prism

Step-by-step explanation:

Here is the complete question

Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.

which statement is true?

a)The height of the red prism is one-third the height of the blue prism

B)The height of the red prism is the same as the height of the blue prism

C)The height of the red prism is six times the height of the blue prism.

D)The height of the red prism is three times the height of the blue prism

Solution

Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂

A₂h₁/3 = A₂h₂

h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.

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find the value of each variable in the circle to the right. the dot represents the center of the circle.
gladu [14]

We have been given an image of a circle. We are asked to find the value of each variable.

We can see that angle b corresponds to diameter of circle. We know that the measure of an angle that is inscribed to the diameter of a circle is 90 degrees . Therefore, the value of b will be 90.

we can see that angle is an inscribed angle of arc 99 degrees. We know that measure of an inscribed angle is half the measure of inscribed arc.

a=\frac{1}{2}\cdot 99

a=49.5

Therefore, the value of a is 49.5 units.

We know that measure of all angles of a triangle is 180 degrees. The measure of 3rd angle will be half the measure of c, so we can set an equation as:

a+b+\frac{1}{2}c=180

49.5+90+\frac{1}{2}c=180

139.5+\frac{1}{2}c=180

139.5-139.5+\frac{1}{2}c=180-139.5

\frac{1}{2}c=40.5

\frac{1}{2}c\cdot 2=40.5\cdot 2

c=81

Therefore, the value of c is 81.

3 0
2 years ago
The volume of a pyramid that fits exactly inside a cube is 10 cubic feet. What is the volume of the cube?
Tatiana [17]

Answer:

the cubic feet will be 1000

6 0
3 years ago
The 10th term of an arithmetic proression is 68 and the common difference is 7 find the first term of the sequence
leonid [27]

Answer:

5

Step-by-step explanation:

first term + (10-1)7=68

first term= 68- 63=5

3 0
3 years ago
Look at pic down underrr
dimulka [17.4K]

Answer:

Triangle rsu = Triangle tus

Statements Reasons

UR ≅ TS  Definition of Rectangle

US ≅ US Reflexive Property

<U, <T, <R, <S are all congruent and right angles

Definition of Rectangle

ΔRSU ≅ ΔTUS Side, Angle, Side

UR ≅ TS     CPCTC

Just draw a reverse angle,hence you get comparison.

So, satisfying S-S-S

RUS  ≅ SUT

RSU ≅ TUS

So, angle

URS = angle TUS

2. Pythagoras Theorem

Triangle RUS

A^2 + B^2 = C^2

Uu^2 + Ss^2 = Rr^2

√Rr = Rr^2 = x

Triangle TUS

A^2 + B^2 = C^2

Ss^2 + Uu^2 = Tt^2

√Tt = Tt^2 = x

UR measure / sin (60) x (90) = US measure.

ST measure / sin (60) x (90) = US measure.

Proves angles RSU = 30 degree

Proves angles  TUS = 30 degree

As all adjacent angles in a triangle add up to 180 degree.

7 0
3 years ago
Plllls help me with these three I will make brainlesst pls no links
kkurt [141]

Answer:

90+1,2 = 200

Step-by-step explanation:

maaf kalo salah

6 0
3 years ago
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