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Answer:

x ≈ 17.32, y = 20

Step-by-step explanation:

sin (30°) = 10/y

=> y = 10/sin (30°)

=> y = 20

x = [tex]\sqrt{20^{2} - 10^{2}}[/tex]

=> x ≈ 17.32

Answer:

-1.5 L/h

Step-by-step explanation:

The volume of water in a reservoir decreased from 24.000L to 18.000L between 06.00 and 10.00.

We need to find the average rate of decrease in volume of water. It can be solved as follows :

[tex]Rate=\dfrac{18-24}{10-6}\\\\=-1.5\ L/h[/tex]

The negative sign shows the decrease in volume. Hence, the rate of decrease in volume of water is 1.5 L/h.

Answer:

1 Cards = 36%

2 Cards = 28%  

3 Cards = 24%

4 Cards = 12.5%

Step-by-step explanation:

Answer:

y-9=4/5(x+7)

Step-by-step explanation:

Point slope for is y-y1=m(x-x1). In this case, y1 is 9, x1 is -7, and m is 4/5. Therefore, we can fill in this equation. The equation will be y-9=4/5(x--7) This is equal to y-9=4/5(x+7).

If this helps please mark as brainliest

Given:

[tex]a_n[/tex] is an arithmetic sequence.

To find:

The value of [tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex].

Solution:

We have,

[tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex]

It can be written as:

[tex]=\dfrac{d}{d}\left[\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{d}{a_1a_2}+\dfrac{d}{a_2a_3}+...+\dfrac{d}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_2-a_1}{a_1a_2}+\dfrac{a_3-a_2}{a_2a_3}+...+\dfrac{a_{40}-a_{39}}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_2}+\dfrac{1}{a_2}-\dfrac{1}{a_3}+....+\dfrac{1}{a_{39}}-\dfrac{1}{a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_{40}-a_1}{a_1a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_1+(40-1)d-a_1}{a_1a_{40}}\right][/tex]       [tex][\because a_n=a_1+(n-1)d][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{39d}{a_1a_{40}}\right][/tex]

[tex]=\dfrac{39}{a_1a_{40}}[/tex]

Therefore, the value of given expression is [tex]\dfrac{39}{a_1a_{40}}[/tex].

Answer:

8) 10 15/16 ft³

9) 20 5/6 ft³

Step-by-step explanation:

Volume of a rectangular prism is

l * b * h,

Question 8

We're given the area

Area = l * b

So we substitute the area for length and breadth.

Volume = Area * height

Volume = 4 3/8 * 2 1/2

Volume = 35/8 * 5/2

Volume = 175/16

Volume = 10 15/16 ft³

Question 9

Volume = 5 * 1 2/3 * 2 1/2

Volume = 5 * 5/3 * 5/2

Volume = 5 * 25/6

Volume = 125/6

Volume = 20 5/6 ft³

Answer: 720

Step-by-step explanation:

Given

A club has 10 members and needs one president, a vice president, and a secretary

There are 10 positions for president i.e. 10 ways to select a member for it

Similarly, there 9 persons left to choose a position for vice president

likewise 8 persons for secretary

Total no of ways to do it are

[tex]\Rightarrow 10\times 9\times 8\\\Rightarrow 720\ \text{ways}[/tex]

Answer:

d.-6

Step-by-step explanation:

sana makatulong

Answer: 36 3/32 so the answer is B.

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

you have to do length x width x height

Answer:

do 11.5x7.2 that will get you your answer then after that when you get that answer you will divide that by 4

Step-by-step explanation:

Answer:

1 < x < 12

Step-by-step explanation:

The triangles satisfy the Converse Hi nge Theorem Condition the two triangles have two corresponding equal sides. Thus, the included angle of the triangle that has the largest length of the third side is greater than the included angle of the other triangle with a lesser third side length.

Thus,

33 > 3x - 3

Solve for x

33 + 3 > 3x - 3 + 3

36 > 3x

36/3 > 3x/3

12 > x

To ensure the angle is not 0 or negative, thus:

3x - 3 > 0

Solve for x

3x - 3 + 3 > 0 + 3

3x > 3

3x/3 > 3/3

x > 1

Possible range of values of x would be:

1 < x < 12

Answer:

174

Step-by-step explanation:

72+72+10+20+ 174

Answer:

Step-by-step explanation:

value is decreasing so rate should be <1

f(x)=Pr^x

=1250 (0.8)^x

if x=1

f(1)=1250(0.8)^1=1000 $

if x=2

f(2)=1250(0.8)^2=800 $

if x=3

f(3)=1250(0.8)^3=640  $

so D is the correct answer.

Answer:

B. C which is the answer.

Answer:

Step-by-step explanation:

c=388

Answer:

D. He should survey all the students in all the history classes to make sure he collects enough data.

Step-by-step explanation:

correct on edge 2021

Answer:

100 is going to be the denominator or whole.

Step-by-step explanation:

A percent is basically equally to a number x/100

Answer:

6

Step-by-step explanation:

0.9 + ( 1. 7 * 3 )

= 6

mark brainliest

Answer:

80.5π cm

Step-by-step explanation:

We want to find the area where the label should go onto the can. If we were to take the label and flatten it onto a 2D surface, we would multiply 11.5 cm by the width, which is equivalent to the circumference of the circle. The circumference of the circle can be calculated using the equation 2πr. The radius is 3.5 cm, so the circumference of the circle is 7π. We multiply 7π by 11.5 to get 80.5π cm.

Answer:

A

Step-by-step explanation:

This is the same as ((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2)) which is equal to (2^(3+3+3+3+3)/4^(2+2+2+2+2)), so its (2^15/4^10)

Answer:

You could say 10/15-12/15.

Step-by-step explanation:

Answer:

This is telling me that plan B is the better choice

for a certain number of minutes, but after that,

plan A is better.

Let +n+ = number of minutes of calls

with plan B

-----------------------------------------

Set up an equation that makes the 2 plans equal

and then add 1 more minutes to +n+

-----------------------------------------

plan A = plan B

+18.5+=+6.5+%2B+.1%2A%28+n+-+40+%29+

Step-by-step explanation:

Answer:

Plan A is better if you talk at least 121 minutes per month

Step-by-step explanation:

1. Plan B is $6.50 plus 10 cents for each minute

2. Plan A is $18.50

3. For plan A to be better, one need to spend over $12 extra

4. Each minute cost 10 cents, so $12 would be 120 minutes of talk

5. Plan A is better if you talk at least 121 minutes

Answer:

The 4 packe is better value.

Answer:

The 4 pack has better value.

Step-by-step explanation:

To find the toilet roll price, divide by the number of rolls.

2.04 ÷ 4 = 0.51

4.68 ÷ 9 = 0.52

0.52 > 0.51

So, the 4 pack has better value.

Have a wonderful day! :)

Answer:

18

Step-by-step explanation:

[tex]3 \times 2 \times 3[/tex]

That will give you 18 which is the answer

Answer:

assuming the shape is a square

1. 90 degrees

2. 45 degrees

3. 45 degrees

4. 90 degrees

Step-by-step explanation:

maths and angles

Answer:

.4635.30967741

Step-by-step explanation:

hope this helps

Answer:

6.1

Step-by-step explanation:

tan 27° = x/12

x = 12 · tan 27°

x = 6.1