A rectangular prism holds 450 cm of water. What is the height of the prism, in
centimetres if the base is 15 cm x 10 cm?​

Answer: [tex]10.2"[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]

If the Straw  fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]

Answer:

6.1*10^-6

Step-by-step explanation:

Acellus

Answer:

a

Step-by-step explanation:

Answer:

4.1 sec

Step-by-step explanation:

-9.8t^2 +38.2t + 6.5 = 0

t = [tex]\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}[/tex]

 =  [tex]\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}[/tex]

 = [tex]\frac{-38.2 +- \sqrt{1714.04} }{-19.6}[/tex]

 = [tex]\frac{-38.2 +- 41.4}{-19.6}[/tex]

 = [tex]\frac{-79.6}{-19.6}[/tex]

 = 4.1

The rocket will hit the ground at 0.2 seconds

The function is given as:

[tex]h=-9.8t^2+38.2t+6.5[/tex]

When the missile hits the ground, the value of height is 0

This means that:

[tex]h = 0[/tex]

So, we have:

[tex]-9.8t^2+38.2t+6.5 = 0[/tex]

Next, we plot the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]

See attachment for the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]

From the attached graph, we have:

[tex]t = (0.163, -4.061)[/tex]

Approximate

[tex]t = (0.2, -4.1)[/tex]

Time cannot be negative.

So, we have:

[tex]t = 0.2[/tex]

Hence, the rocket will hit the ground at 0.2 seconds

Read more about height functions at:

https://brainly.com/question/10837575

Answer:

About 6 pencils

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

in order to solve this, you need to multiply 3/5 and 10:  [tex]\frac{3}{5}[/tex] × 10

to do this, first multiply 3 and 10: 3 x 10 = 30

now divide 30 by 5: 30 ÷ 5 = 6

Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)

Step-by-step explanation:

3x^3 - 3x^2 - 90x

Apply GCF: 3 (x^3 - x^2 - 30)

Split 30 into -6 and 5

(x^3 - 6x^2) (5x^2 - 30x)

GCF of both: x^2 (x - 6) and 5x (x - 6)

DON'T FORGET TO CARRY THE 3

And your answer is 3 (x - 6) (x^2 + 5x)

Answer:

11.5 I think??

Step-by-step explanation:

11.475 rounded to the nearest percent would be 11. Rounded to the nearest tenth would be 11.5

Answer:

yes

the sides bear a similar proportion to each other

CE = 1.67BC

CD = 1.67AC

Step-by-step explanation:

Two triangles are similar if the corresponding angels are congruent to each other and if the sides of the triangle are in proportion to each other

to determine if the triangles are similar, determine if the sides are in proportion to each other

CE = 10

BC = 6

10 / 6 = 1.67

DC = 15

AC = 9

15/9 = 1.67

The sides of the triangle are in proportion to each other, thus they are similar

Answer:

28 Nickels

Step-by-step explanation:

Answer:

I think C

Step-by-step explanation:

Answer:

Sponges

Step-by-step explanation:

sponges are permanantly attached to an area in the water, making them sessile

Answer:

x = 116°

Step-by-step explanation:

number of degrees in a pentagon is (5-2)180° = 540°

x + 121 + 90 + 115 + 98 = 540

x + 424 = 540

x = 116°

Answer:

help me with this please

Answer:

−

4

−

5

1

√

5

x=\frac{-4-\sqrt{51}}{5}

x=5−4−51

=

−

4

+

5

1

Answer:

C. no solutions

Answer:

No

Step-by-step explanation:

Dude, I'm not joking.

I started writing stuff as a joke, than developed it, and I think I'll write a book. You just gave me an incredible idea (not about fat people, about society itself and our future).

Thank you very much.

If you see any book written by a Racciatti in 10 years, contact me.

Hope this works, holy man so much ideas in my head. Thank you again.

Answer:

144m2

Step-by-step explanation:

I think very carefully on my brain is it cirrect?

Answer:

The distance from point A to B that Haley needs for the pole to be perpendicular is:

Step-by-step explanation:

To solve this exercise, imagine that it is a triangle, where the height is the pole, which is 10 feet, and the base of the triangle is the distance between the base of the pole and the point located by Jalen and called C, which it would have a measurement of 6 feet, finally, the measurement between A (the point located six feet) and B (the highest part of the pole) would correspond to the hypotenuse of a triangle,

Therefore, having these two measures, you could use the Pythagorean theorem to find the hypotenuse of a triangle with those measures and solve it, remember that the Pythagorean theorem is:

We replace the values given in the exercise:

In this form, Jalen can be sure the pole is perpendicular to the ground when the distance from point A to B is 11.66 ft approximately.

Answer:

[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]

given that, redious is 17 cm

substitute:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]

simplify square:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]

substitute the approximate value of π:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]

simplify multiplication:

[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]

hence, the surface area of the sphere is 3629.84 cm²

Answer:

D) 2x + y = 4

Step-by-step explanation:

2x + y = -6 and 2x + y = 4 will not have any solution because -6 ≠4

Answer: Measure of what?

Answer:

measurement of what-?

Answer:

y = 1/2x + 2

Step-by-step explanation:

for x=10, y=7

for x=20, y=12

for x=30, y=17

y = 1/2x + 2

Answer:

50/277 is also the same as 50 ÷ 277, so just divide those two numbers.

50 ÷ 277 = 0.181

Now we find out 0.181 to the nearest hundredth

To the nearest hundredth when rounding the answer will be 0.18

So your answer is 0.18

Hope I helped! :)

The length of the side : 5.75

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the given figure, we get,

Explanation:

Let the unknown side = X

Cos() = adj/hyp

Cos(44)= X/8

X= 5.75

hence, The length of the side : 5.75.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Answer:

Y=5(x) Yes it is porportional.

Step-by-step explanation:

So lets look at the graph.

We first have 1x = 5y

Well, that makes it seem like for each x there are 5 y.

Lets see the other values:

2x = 10y

Divide both sides by 2 tog et x alone:

1x=5y

Again, for each x, there are 5y.

This is true for each one:

3x=15y

=

1x=5y

4x=20y

=

1x=5y

5x=25y

=

1x=5y

and finally:

6x=30y

=

1x=5y.

So yes, this is poroportional.

It can be shown as x=5y, since for a single x, there are 5 y's.

Hope this helps!

Answer:

a = 6

Step-by-step explanation:

7a-17 = 4a +1 ; Subtract 4a from both sides

3a - 17 = 1 ; Add 17 to both sides

3a = 18 ; Divide both sides by 3

a = 6

7a-17=4a+1

7a-4a=1+17

3a=18

a=6

Answer:

I believe the answer is C