A B and C from a triangle where BAC =90 AB = 7.4 mm and CA = 12 and find the length of AC , giving your answer rouned to 1DP

Answer:

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex]   or   [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Step-by-step explanation:

[tex] 5x^2 - 2 = 4x [/tex]

[tex] 5x^2 - 4x - 2 = 0 [/tex]

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)} [/tex]

[tex] x = \dfrac{4 \pm \sqrt{16 + 40}}{10} [/tex]

[tex] x = \dfrac{4 \pm 2\sqrt{14}}{10} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{14}}{5} [/tex]

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex]   or   [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Answer:

Answer:

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Step-by-step explanation:

5x^2 - 2 = 4x5x

2

−2=4x

5x^2 - 4x - 2 = 05x

2

−4x−2=0

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=

2a

−b±

b

2

−4ac

x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}x=

2(5)

−(−4)±

(−4)

2

−4(5)(−2)

x = \dfrac{4 \pm \sqrt{16 + 40}}{10}x=

10

4±

16+40

x = \dfrac{4 \pm 2\sqrt{14}}{10}x=

10

4±2

14

x = \dfrac{2 \pm \sqrt{14}}{5}x=

5

2±

14

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:divide

Answer:

15+7=22

Step-by-step explanation:

Set up the equations.

Answer:

0.20

Step-by-step explanation:

total of marbles

= 6 + 4 + 3 + 2

= 15

the probability of blue

= 3/15 × 100%

= 20%

= 0.20

Answer:

B. (x-3,y+1)

Step-by-step explanation:

because they are integars

brainlyyest pls

Answer:

11

Step-by-step explanation:

Answer: The square root of 121 is 11!

Step-by-step explanation:

11x11= 121

Another example:

9x9=81

So, 9 is the square root of 81

Another example:

8x8=64

so, 8 is the square root of 64!

Answer:

yes

Step-by-step explanation:

26ft+17ft+25ft

=68ft

The perimeter is 68 ft

Answer:sorry I don’t know

Step-by-step explanation:

hhh

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Let the length be l and width be w.

The perimeter will be 2 lengths + 2 widths = 2l+2w

2l+2w cannot be more than 100ft

[tex]21+2w \leq 100[/tex]

Also, the length has to be at least 10ft longer than the width.

[tex]l\geq w+10[/tex]

If we substitute w=20, l=30. 2l+2w can be equal to 100 but not over it.

If w=20 and l=30, 2w+2l = 40+60 = 100.

Hence the maximum length of the width of the fence is 20 ft. C

50d^2 - 98e^2

Factor out 2.

2(25d^2 - 49e^2)

We now factor the difference of two perfect squares within the parentheses.

2(5d - 7e)(5d + 7e)

This is as far as we can factor.

Done!

The factor of the expression into an equivalent form 50d²- 98e² would be;  2(5d - 7e)(5d + 7e)

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

We are given that expression is given that 50d²- 98e².

We have to Factorise .

Factor out 2.

2(25d² - 49e²)

We have to factor the difference of two perfect squares within the parentheses.

2(5d - 7e)(5d + 7e)

Learn more about factorization here:

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Answer:

75

Step-by-step explanation:

[tex]5 \times 10 = 50[/tex]

[tex]5 \times 10 \div 2 = 25[/tex]

[tex]50 + 25 = 75[/tex]

Answer:

≈ 3.64 sales tax

Step-by-step explanation:

55 × 0.06625 = 3.64375

Answer:

The variable is a nominal categorical variable

Step-by-step explanation:

As the 3 options are available and the survey taker is required to select from these options, this indicates that the variable is of categorical nature, where only a fixed number of options are available. As the order is not important thus the variable is a nominal categorical variable.

Answer:

The answer is 180ft

Step-by-step explanation:

The reason the answer is 180ft is because your using area which means your are multiplying all your answers.

Answer:

1/3 gallon per hour, and it takes 3 hours to use one gallon

Step-by-step explanation:

Simplify the ratio

3-9

Which simplifies to

1-3

———————————————

Answer:

7 pencils

Step-by-step explanation:

Let x equal the number of pencils Monica buys and y equal the number of pens.

The expression would then be 2x + 7y ≤ 35. Plugging in 3 for y:

2x + 7(3) ≤35

2x +21 ≤ 35

2x ≤ 14

x≤ 7

Answer:

the number of cells increases by a factor of 2.

Explanation:

the number of cells doubles with each hour, which means that they are multiplied by 2. thus, the number of cells increases by a factor of 2.

i hope this helps! :D

Answer: The number of cells increases by a factor of 2.

After four hours, the number 2 is used as a factor 4 times.

Step-by-step explanation: The cells multiply by 2, and make double the amount of cells.

The number 2 is used 4 times after 4 hours to make 16 cells.

Answer:

5 inches

Step-by-step explanation:

Since the length irl is 60 yards you should divide 60 by 3.

60/3=20

Then convert 1/4 to a decimal.

1/4=0.25

Finally multiply 20 and 0.25 to get the length of the park on the map.

20x0.25=5

your answer is Option F 5 inches

Answer:

6.8

Step-by-step explanation:

The solution is : 6.8 is the decimal when 34 divided by 5.

Here, we have,

given that,

34 divided by 5

Given the following mathematical expression;

34 /  5

We would apply the law of division for fractions.

34 /  5

= 34 ÷ 5

= 6.8

the decimal form.

Hence, The solution is : 6.8 is the decimal when 34 divided by 5.

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Answer:

The slope is 4

Step-by-step explanation:

rise is 4, run is 1

4/1=4

Answer:

S.A. = 15.7

Step-by-step explanation:

S. A. = [tex]\pi r^{2} + \pi rl[/tex]

1 x 1 x 3.14 = 3.14

3.14 x 1 x 4 = 12.56

12.56 + 3.14 = 15.7

Answer:

A. 26.8

Step-by-step explanation:

268/10

Answer:

60

Step-by-step explanation:

stuffed animals = 3 x dolls eqn 1

video games = 15 + stuffed animals eqn 2

dolls = 15

replace for dolls in eqn 1

stuffed animals = 15 x 3 = 45

substitute for stuffed animals in eqn 2

45 + 15 = 60

Answer:

y=8x+1

Step-by-step explanation:

y=mx+b

m=rise/run=(8)/(1)=8

y=8x+b

b is the y-intercept  

y=8x+1

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

Answer: this equation couldn't be determined

Step-by-step explanation:

The solution couldn't be determined as all the variables are different (it should have at least two variables should be same to be added or subtracted)