This tank can hold a volume of 49 062.5 cm3 of water when it is full. The top face of the tank is missing so the tank is open.
a) What volume of water (in cm3) is needed to fill this tank to a height of 15 cm from the top?

Answer:

(−13)

Step-by-step explanation:

all lines perpendicular to it have a slope of

(

−

1

m

)

3

x

−

y

=

8

can be written as

XXXX

y

=

3

x

−

8

which is the slope intercept form, with a slope of

3

Any line perpendicular to

3

x

−

y

=

8

will have a slope of

(

−

1

3

)

Answer:

4/6 = 2/3

Step-by-step explanation:

I know this because she ordered 5/6 of a sack of brown rice and 1/6 of a sack of white rice. Then, I did 5/6 - 1/6 = 4/6, which is also equal to 2/3.

Answer:

x+18=50

Step-by-step explanation:

2+16+x=50 and simplify

Hailey's diagram represents 2 + x + 16 = 50.

When there are individual boxes as such, it typically means that you will combining, or adding them all together.

For it to be correct, 2x should be together as stated in the given equation:

     50

[   2x   ][16]

Answer:

step by step ✌️

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have

By using Angle sum property

That,

[tex]\bold{\angle{X + }}{\bold{\angle{Y + }}}{\bold{\angle{Z = 180}}}{\degree}[/tex]

Subsitute the required values,

[tex]\sf{ 60{\degree} + 20{\degree} + C = 180{\degree}}[/tex]

[tex]\sf{ 80{\degree} + C = 180{\degree}}[/tex]

[tex]\sf{ C = 180{\degree} - 80{\degree}}[/tex]

[tex]\sf{ C = 100}{\degree}[/tex]

Thus, The value of C is 180°

We have to find the measurement of Angles A and B

Here,

[tex]\sf{\angle{B + }}{\sf{\angle{ x + }}}{\sf{\angle{C = 180}}}{\degree}[/tex]

[tex]\sf{\angle{ B + 20{\degree}+ 100{\degree} = 180{\degree}}}[/tex]

[tex]\sf{\angle{ B + 20{\degree} = 180{\degree}- 100{\degree}}}[/tex]

[tex]\sf{\angle{ B = 80{\degree} - 20{\degree}}}[/tex]

[tex]\sf{\angle{ B = 60{\degree}}}[/tex]

[tex]\sf{\sf{A + }}{\sf{\angle{B + }}}{\sf{ 100{\degree} = 180}}{\degree}[/tex]

[tex]\sf{\angle{ A + 60{\degree} = 180{\degree} - 100{\degree}}}[/tex]

[tex]\sf{\angle{ A = 80{\degree} - 60{\degree}}}[/tex]

[tex]\sf{\angle{ A = 20{\degree}}}[/tex]

Hence, The measure of Angles A, B and C are 20° , 60° and 100° .

Answer:

14

Step-by-step explanation:

Use order of operations: divide before adding

10 + 8 ÷ 2

10 + 4 = 14

Answer:

14

Step-by-step explanation:

10 + 8 ÷ 2 =

the value of expressions is 14

Answer:

y < 106

Step-by-step explanation:

Step 1: Add 21 to both sides.

Therefore, the solution is y < 106.

To graph it on a graph:

Answer:

w = 60

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

w + 20 is an exterior angle of the triangle , then

w + 20 = w - 10 + w - 30

w + 20 = 2w - 40 ( subtract w from both sides )

20 = w - 40 ( add 40 to both sides )

60 = w

Answer:

w=60°

Step-by-step explanation:

triangle=180°

angle on a straight line=180°

using that,

we need to find the angle on the same line with that of "w+20°" angle, so we name it as "X"

so, 180-(w+20)=X

expand bracket by multiplying it with the "-"

so it'll be: 180-w-20=X

then rearrange to get like terms together

180-20-w=x

160-w=x

so the missing angle in the triangle is now (160-w)°

now using the angles in a triangle =180°

we add all the angles and equate it to 180, so:

w-30+w-10+160-w=180°

collect like terms again:

w+w-w-30-10+160=180

2w-w+120=180

w+120=180

move 120 to the other side and remember the sign changes, so:

w=180-120

therefore w=60°

now you can substitute w=60 into the triangle and see you'll get 180°

hope that helps

Answer:

They spent 2hrs and 30min

Step-by-step explanation:

If you cut 5 in half you get 2.5

60 cut in half equals 30

In other words... 2.5 = 2hrs and 30min

Answer:

option B and Option C are correct since

AE divides BC into 2 equal parts so AE is Median of ∆ABC

AD makes a 90° Angle with BC Therefore AD is Altitude.

Answer:

5 chocolate bars cost 3.15 (i don't have that currency symbol on my keyboard)

Step-by-step explanation:

First, let's find out what one costs, so it'll be easier.

3.80/6=0.63

Multiply the amount for one chocolate bar by five:

0.63*5=3.15

And there you go! 5 bars cost 3.15

I hope this helped!

Answer:

 £4.56

Step-by-step explanation:

5 chocolate bars= £3.80

1 chocolate bar= £3.80 / 5 = £0.76

Therefore, 6 chocolate bars= £0.76 x 6 =  £4.56

Answer:

12.8

Step-by-step explanation:

(16*80)/100

Based on the absolute deviations and the predicted values, the sum of absolute deviations will be 4.8.

This can be found as:

= ∑ (Observed value - Predicted value)

The observed values are given in the table and the predicted values will be calculated using y = 3.6x - 0.4.

Solving gives:

=  [3 - (3.6 x 1 - 0.4)] + [7 - (3.6 x 2 - 0.4)] + [ 9 - (3.6 x 3 - 0.4)] + [14 - (3.6 x 4 - 0.4)] + [15 - (3.6 x 5 - 0.4)] + [21 - (3.6 x 6 - 0.4)] + [25 - (3.6 x 7 - 0.4)]

= 0.2 + 0.2 + 1.4 + 0 + 2.6 + 0.2 + 0.2

= 4.8

Find out more on absolute deviation at https://brainly.com/question/447169.

Answer:

Step-by-step explanation:

m=(y2-y1)/(x2-x1),

Answer:41°

Step-by-step explanation:

The most reasonable value of n  n = -2.

We have given that the length of the football field = 300 feet

It can also be expressed as approximately  [tex]5.7\times 10^{n}miles[/tex]

Also, 1 mile = 5280 feet....(1)

We have to find 1 feet so divide both side of equation (1)by by 5280 we get,

[tex]1feet=\frac{1}{5280}[/tex]

Now, for 300 feet is,

[tex]300feet=\frac{1}{5280}(300)[/tex]

[tex]300 feet=0.056818181=0.057miles[/tex]

In scientific notation we have,

[tex]300 feet=5.7\times 10^{-2}miles[/tex]

Therefore we get  n = -2.

To learn more about the value of power of 10 visit:

https://brainly.com/question/2193418

Answer:

Step-by-step explanation:

The correct answer in this case would be A. There is only 1/8th percent chance of the spinner landing on 4.

There are 8 sections in the circle.  So our denominator will be 8.  We are looking to find how many 4s there are in the circle.  Since there is only ONE 4 in the circle, our nominator will be 1.  So, when we put that together, we get 1/8.

Answer:

1/8

Step-by-step explanation:

Given/To Find:

P(4)

Solve:

Since there are 8 number on the spinner. Which given us denominator will be 8.  And ONLY one of them is 4. Thus, Nominator will be 1.

Hence, that given us 1/8

~Learn with Lenvy~

Answer:

The choice A) 5.9

Step-by-step explanation:

[tex] \sin(36) = \frac{x}{10} \\ \\ 0.587785 = \frac{x}{10} \\ \\ x = 10 \times 0.587785 \\ \\ x = 5.87785 \\ \\ x = 5.9[/tex]

Answer:

A

Step-by-step explanation:

Volume of a rectangular prism  = l*b *h

Where base area = l*b

Volume = base area * h

Base area * height = Volume

15 * height = 180

     height = 180/15

     height = 12 inches

Answer:

B. cos F = 9/41, cos E = 40/41

Step-by-step explanation:

use SOH CAH TOA

cosine is CAH which is adjacent over hypotenuse

the adjacent side to F is 9 and the hypotenuse is 41 so 9/41

the adjacent side to E is 40 and the hypotenuse is 41 so 40/41

hope this helped! :)

Answer:

r=15

Step-by-step explanation:

180= 6r-4+94

180 = 6r+90

180-90 = 6r

90=6r

r=90/6

r=15

Answer:

r=15

180= 6r-4+94

180 = 6r+90

180-90 = 6r

90=6r

r=90/6

r=15

Step-by-step explanation:

Brainleist

Answer:

q = -4
q = -5/9

Step-by-step explanation:

Hi!

To solve this question, we can use the zero product property.

The zero product property states that if one factor is equal to 0, then the whol equation is equal to 0.

We have (q+4)(9q +5) = 0

That means either q + 4 = 0, or 9q + 5 = 0.

Solve:

We can check both cases:

(-4 + 4)(-36 + 5) = 0

0(-31) = 0

0 = 0

(-9/5 + 4)(9(-5/9) + 5) = 0

(2.2)(-5 + 5) = 0

(2.2)0 = 0

0 = 0

because you shade in everything to the left

Answer:the question just written out doesnt give a crazy amount of context but i believe the answer is 4 spins

Step-by-step explanation:

The probability that Kabita would take 2 red discs from the bags is 3/22.

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability that Kabita would take 2 red discs = (number of red discs in bag 1 / total number of discs in bag 1) x  (number of red discs in bag 2 / total number of discs in bag 2)

(3/8) x (4/11) = 3/22

To learn more about probability, please check: https://brainly.com/question/26321175

Answer:

You ran a farther distance.

Step-by-step explanation:

First we will have to convert the 3.4 miles to km.

3.4x1.61=5.474 km

5.474 is greater than 5 km.

Therefore, you ran a farther distance.