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3 years ago

The volume of a right rectangular prism is 712 cm³. The height of the prism is 214 cm.

Mathematics

2 answers:

amm18123 years ago

7 0

B it’s b i think i’m pretty sure yes.

miss Akunina [59]3 years ago

4 0

Answer:514 cm²

Step-by-step explanation:

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Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?

Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> the distance in meters

The speed is equal to divide the distance by the time

In this problem, the slope or unit rate of the linear equation is the same that the speed

Robin's Flight

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,30) and (3,45)

substitute in the formula

$m=\frac{45-30}{3-2}$

$m=\frac{15}{1}$

$m=15\frac{m}{sec}$

Cardinal's Flight

$y=10x$

$m=10\frac{m}{sec}$

Blue Jay's Flight

take two points from the graph

(0,0) and (2,20)

substitute in the formula

$m=\frac{20-0}{2-0}$

$m=\frac{20}{2}$

$m=10\frac{m}{sec}$

Compare

The robin flies fastest because its rate is 15 m/s

4 0

4 years ago

4x-(12 divided 3) +2x=20

Savatey [412]

Answer:

Step-by-step explanation:

3 0

3 years ago

What is this!! Thank you to whoever will help me

butalik [34]

Answer:

Answer is the 2nd multiple choice question

Step-by-step explanation:

6 0

3 years ago

Quadrilateral ABCD has vertices A(1,0) B(5,0) C (7,2) D(3,2). Use slope to prove that ABCD is a parallelogram.

Galina-37 [17]

Answer:

$AD \parallel BC$

$AB \parallel CD$

Step-by-step explanation:

The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).

The slope of side AB is

$M_{AB}=\frac{0-0}{5-1} =\frac{0}{4}=0$

The slope of side BC is

$M_{BC}=\frac{2-0}{7-5} =\frac{2}{2}=1$

The slope of side CD is

$M_{CD}=\frac{2-2}{3-7} =\frac{0}{-4}=0$

The slope of AD is

$M_{AD}=\frac{2-0}{3-1} =\frac{2}{2}=1$

$AD \parallel BC$

$AB \parallel CD$

We see that the opposite sides of the quadrilateral ABCD are equal.

Hence the quadrilateral is a parallelogram

4 0

3 years ago

The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They

IgorC [24]

Answer:

15 m

Step-by-step explanation:

Refer to attached picture

The height = h
Angles of elevation 22.6° and 38.3°
Closer distance = d

Use tangent to solve

tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d

Compare the equations above and find the value of d:

0.42(d + 17) = 0.79d
0.42d + 7.14 = 0.79d
0.79d - 0.42d = 7.14
0.37 d = 7.14
d = 7.14/0.37
d = 19.3 m

Now find the value of h:

h = 0.79d
h = 0.79*19.3
h = 15

Wave Rock is 15 m tall

3 0

3 years ago