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Question: A B and C form a triangle where BAC = 90°. AB = 7.4 mm and CA = 12 mm. Find the length of BC, giving your answer rounded to 1 DP.

Answer:

14.1 mm

Step-by-step explanation:

From the diagram attached,

Using pythagoras theorem,

a² = b²+c²............... Equation 1

From the attached file,

Given: a = x, b = 7.4 mm, c = 12 mm

Substitute these values into equation 1, and solve for x

x² = 7.4²+12²

x² = 54.76+144

x² = 198.76

x = √(198.76)

x = 14.1 mm

Hence, the length of BC = 14.1 mm

Answer:

The height is 11 in

Step-by-step explanation:

I think you mean triangle?

area of a triangle is A = 1/2 b h

fill in and solve for h

22 = 1/2 4 h

44 = 4h

11 = h

Answer:

v= pi*r^2*h

v=1/3 * pi*r^2*h

Answer:

y = -5x - 4

Step-by-step explanation:

-20x - 4y = 16

-4y = 20x + 16

4y = -20x - 16

y = -5x - 4

Answer:

x=-2, y= 1

Step-by-step explanation:

Given data

-2x+3y= 7 --------------1

5x+8y= -2--------------2

Multiply 1 by 5 and 2 by 2 and add

-2x+3y= 7   X 5

5x+8y= -2   X 2

-10x+15y= 35  

10x+16y= -4  

0x+31y= 31

31y= 31

y= 31/31

y= 1

put y= 1 in eqn 1

-2x+3y= 7

-2x+3(1)= 7

-2x+3=7

-2x= 7-3

-2x= 4

x=- 4/2

x= -2

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

[tex]A=P (1+rt)[/tex]

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

Answer:

c. 56 degrees

Step-by-step explanation:

angle FEG and angle DEG add up to 180.

2x-6+3x-31=180

x=31

2(31)-6=56

The measure of angle ∠ FEG is,

∠ FEG = 56°

We have to given that,

Angles are defined as,

∠ FEG = (2x - 6)°

∠ DEG = (3x + 31)°

Here, Angles FEG and angle DEG are linear pair.

Hence, angle FEG and angle DEG add up to 180.

2x - 6 + 3x + 31 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155 / 5

x = 31

Therefore, The measure of angle ∠ FEG is,

∠ FEG = (2x - 6)°

∠ FEG = (2 × 31 - 6)°

∠ FEG = (62 - 6)°

∠ FEG = 56°

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Answer:

Raul made 8 servings of fruit salad

Step-by-step explanation:

Here, we want to get the number of servings made by Raul

From the question;

1 serving = 1/2 cup

x servings = 4 cups

Thus;

4 * 1 = x * 1/2

x = 4/(1/2)

x = 8 servings

it's not A or D

Step-by-step explanation:

math I guessssssss

Answer:

D

Step-by-step explanation:q

If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.

Since the side opposite is 12, the hypotenuse is easily found.

1/2 = opposite / hypotenuse

1/2 = 12 / hypotenuse                     Cross multiply

hypotenuse = 2 * 12

hypotenuse = 24

Now use the Pythagorean Theorem to get the third side.

c = 24

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576                                  Subtract 144 from both sides.

b^2 = 576 - 144

b^2 = 432

Now  you have to factor 432 down to its primes

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.

sqrt(b^2) = sqrt(432)

b = 4 * 3sqrt(sqrt(3))

b = 12 sqrt(3)

Answer

r = 12*sqrt(3)

t = 24

The answer is D

Answer:

Where is the number i need to round to?

(Please don't give me a bad rating i'm trying to help :) )

Answer:

106,000 is the answer help me with my answer to

Answer:

The medians differ by $14,000, but if the IQR is larger than about $7,000, there will not be a meaningful difference between the median salaries in the two cities.

Step-by-step explanation:

Answer:

3.7

Step-by-step explanation:

each tick represents .1 unit

Answer:

Step-by-step explanation:

socratic.org/questions/how-do-you-factor-1-2-out-of-1-2x-6#630699

The equation is A = - ( 1/2) [ x - 12 ]

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is A = - ( 1/2 )x + 6

Now , on factorizing the given expression , we get

On taking the common term as - ( 1/2 )

A = - ( 1/2 )x + 6

A = - ( 1/2 ) [x - ( 2 x 6 ) ]

On simplifying the equation , we get

A = - ( 1/2 ) [ x - 12 ]

Therefore , the value of A is A = - ( 1/2 ) [ x - 12 ]

Hence ,The equation is A = - ( 1/2) [ x - 12 ]

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Given:

The function is:

[tex]C(t)=10(1.029)^{24t}[/tex]

Where, C(t) is the total number of cells after t hours.

To find:

The function that is approximately equivalent to C(t).

Solution:

We have,

[tex]C(t)=10(1.029)^{24t}[/tex]

It can be rewritten as:

[tex]C(t)=10(1.029^{24})^{t}[/tex]            [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]C(t)\approx 10(1.986)^{t}[/tex]         [tex][\because 1.029^{24}\approx 1.986][/tex]

The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).

Therefore, the correct option is 3.

Answer:

c

Step-by-step explanation:

Answer:

1) 24 - 40 + 34 = 18

2) 24 - 22 - 34 = -32

3) 12  + 0 -15 = -3

4) 12 + 30 -15 = 27

5) -18 + 76 -34 = 24

Step-by-step explanation:

The given equations are;

1) 24 _ 34 = 18

We have;

18 - (34 + 24) = -40

Therefore;

24 - 40 + 34 = 18

2) 24 _ - 34 = -32

We have;

-32 - (24 - 34) = -22

Therefore;

24 - 22 - 34 = -32

3) 12 _ -15 = -3

We have;

-3 - (12 - 15) = 0

Therefore;

12  + 0 -15 = -3

12 - 15 = -3

4) 12 _ -15 = 27

We have;

27 - (12 - 15) = 30

Therefore;

12 + 30 -15 = 27

5) -18 _ -34 = 24

We have;

24 - (-18 - 34) = 76

Therefore;

-18 + 76 -34 = 24.

1. 24 x 34=18

2. 24 ➗ -34=-32 (i dont have the division thing lol)

3. 12 - 15=-3

4. 12 - (-15)=27

5.  -18 x -34=24

Answer:

0.6 is the answer hope this helps

have a nice day bye

Answer:

12

Step-by-step explanation:

A sequence is given and we need to find the term when it will become -24 . The given sequence is,

9 , 6 , 3 ,0 , . . . . .

Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .

⇒ T_n = a + (n-1)d

⇒ (-24) = 9 + (n-1)(-3)

⇒ -24-9 = (n-1)(-3)

⇒ (n-1) = -33/-3

⇒ n-1 = 11

⇒ n = 11 + 1

⇒ n = 12

Answer:

That would be impossible because you would get melted by the earth core

Step-by-step explanation:

When you say bottom of the world, I'm assuming you mean the middle or the core. Like the other answer said, I'd just die. BUT if I didn't die, then yes, I think I'd be in all the time zones. :) Or I just wouldn't have a sense of time.

We tell time based on how much sunlight we get, so would that mean it would be midnight forever?

Answer:

well the answer is 120

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Yes

Answer:

110

Step-by-step explanation:

3×30=90

90+20=110

hope this helps

plz can i get brainliest:)

Answer:

If Angle A and Angle B are vertical angles,

what is value of x?

D. 8

If Angle A and Angle B are supplementary

angles, what is measure of

Angle B?

D. 140

Step-by-step explanation:

If Angle A and Angle B are vertical angles,

what is value of x?

Vertical angles are congruent thus

40° = 5x°

5x° = 40°

(5x / 5)° = (40 / 5)°

x° = 8°

If Angle A and Angle B are supplementary

angles, what is measure of

Angle B?

Supplementary angles add up to 180° or a straight line.

180° – 40° = 140°

Answer:

A

Step-by-step explanation: