ABC ∆ where Angle A =90° , AB = 12 m, AC = 9 m . Find BC ?

( Show all your workings )
best answer will marked as brainalist
dont put fake ones

Answer:

(5 a^2 - 4) (25 a^4 + 20 a^2 + 16)

Step-by-step explanation:

Since both terms are perfect cubes, factor using the difference of cubes formula,  

a^3  −  b^ 3 = (a − b) (a^2 + a b + b^2) where a = 5a^2   and  b = 4 .

9514 1404 393

Answer:

  no

Step-by-step explanation:

For lines to be parallel, any obtuse angle where a transversal crosses must be supplementary to any acute angle at that transversal. Here the sum of the obtuse and acute angles is 105° +65° = 170°, so it is not possible for this geometry to include parallel lines.

Answer:

B. <4

D. <5

Step-by-step explanation:

Exterior angle is the angle found outside the triangle. In the diagram given, angle 5 and angle 4 are located outside of the triangle, therefore, the exterior angles in the diagram given are <4 and <5.

Answer:

75.5

Step-by-step explanation:

First, the picture is not to scale.

The Area of the bottom (2) rectangle is 33

base x height = A

11 x 3 = 33      (where did I get 3? Total height of shape is 8. Trapezoid is 5)

                      (8-5 = 3)

Area of the trapezoid:

A = [tex]\frac{h (B_{1} + B_{2}) }{2}[/tex]

  =  [tex]\frac{(5)(6 + 11)}{2}[/tex]

  =  [tex]\frac{5(17)}{2}[/tex]

  = [tex]\frac{85}{2}[/tex]

  = 42.5

42.5 + 33 = 75.5

Answer:

Second term of this sequence: [tex]10[/tex].

Third term of this sequence: [tex]20[/tex].

Step-by-step explanation:

The first step is to find the common ratio of this sequence.

In a geometric sequence, multiply one term by the common ratio to find an expression for the next term. Let [tex]r[/tex] denote the common ratio of this sequence. For this sequence:

However, the question states that the value of the fourth term is [tex]40[/tex]. In other words, [tex]5\, r^{3} = 40[/tex].

Solve this equation for [tex]r[/tex]:

[tex]r^{3} = 8[/tex].

[tex]r = 2[/tex].

(Since the power of [tex]r[/tex] is non-even in the equation, there's no need to consider the sign of [tex]r\![/tex] when taking the cube root.)

Substitute [tex]r = 2[/tex] into the expression for the second term and the third term to find their values:

Answer:

The minimum score required for an A grade is 80.

Step-by-step explanation:

According to the Question,

A: Top 12% of scores

B: Scores below the top 12% and above the bottom 57%

C: Scores below the top 43% and above the bottom 19%

D: Scores below the top 81% and above the bottom 5%

F: Bottom 5% of scores Scores on the test

And The normally distributed with a mean of 66.5 and a standard deviation of 9.9.

Now,

we have μ=66.5 , σ=9.9  

Top 12%, so at least the 100-12 = 88th percentile, which is the value of X when Z has a p-value of 0.88. So it is X when Z = 1.175.

⇒ Z = (X-μ)/σ

⇒ 1.175×9.9 = X-66.5

⇒ X=78.132

Rounding to the nearest whole number, the answer is 80.

The minimum score required for an A grade is 80.

Answer:

[tex]( \frac{1}{3})^{3} [/tex]

Step-by-step explanation:

There are many expressions that can be equivalent to 1/27.

For example, 2/54, 3/81 etc

But I think the expression you are looking for is

[tex] \frac{1}{27} = \frac{1 \times 1 \times 1}{3 \times 3 \times 3} = \frac{ {1}^{3} }{ {3}^{3} } = ( \frac{1}{3} )^{3} [/tex]

Hope this is helpful

Answer:

triangle KLM

Step-by-step explanation:

x-1 meaning subtractikn so u subtract l from its original x cord making it move left 1

y-8 same thing but for the y making it move down 8 spaces

Answer:

The answer is 1 1/4 or 5/4

Step-by-step explanation:

1/8 · 10 = 10/8

10/8 when simplified is 5/4

Answer:

The system has an infinite set of solutions [tex](x,y) = (x, \frac{x-5}{4})[/tex]

Step-by-step explanation:

From the first equation:

[tex]20x - 80y = 100[/tex]

[tex]20x = 100 + 80y[/tex]

[tex]x = \frac{100 + 80y}{20}[/tex]

[tex]x = 5 + 4y[/tex]

Replacing on the second equation:

[tex]-14x + 56y = -70[/tex]

[tex]-14(5 + 4y) + 56y = -70[/tex]

[tex]-70 - 56y + 56y = -70[/tex]

[tex]0 = 0[/tex]

This means that the system has an infinite number of solutions, considering:

[tex]x = 5 + 4y[/tex]

[tex]4y = x - 5[/tex]

[tex]y = \frac{x - 5}{4}[/tex]

The system has an infinite set of solutions [tex](x,y) = (x, \frac{x-5}{4})[/tex]

I think it might be the 3rd option

Step-by-step explanation:

Answer:

26,795 people

Step-by-step explanation:

P(x) = 24,500 × (1 + 0.01)^(2019-2010)

= 24,500 × (1.01)^9

= 24,500 × 1.0937

= 26,795 people

The required population of Statesville in the year 2019 will be 26,795.

Statesville's population in 2010 was about 24,500, growing by about 1% each year. Statesville's population be in 2019 to be determined.

The function which is in format f(x) = a^x where, a is constant and x is variable,  the domain of this exponential function lies   ( -∞, ∞ ).  

Let Statesville's population in 2019 = x

Statesville's population in 2010 = 24500

Population growing by about 1% =  1/100
                                                  = 0.01

Difference in year n = 2019 - 2010
n = 9

Population in 2019,
x = 24500 *  ( 1 + 0.01 )^9
x = 24500 *  ( 1.01 )^9
x = 26, 795.295
To the nearest people x = 26,759
the population of Statesville in the year 2019 =  26,759
       

Thus,  the required population of Statesville in the year 2019 will be 26,795.

Learn more about exponential function here:

brainly.com/question/15352175

#SPJ2

Answer:

o (h,k)

Step-by-step explanation:

Answer:

(x, y) = (-34,-19)

Step-by-step explanation:

...................................................

Answer:

its all of them

Step-by-step explanation:

since its the same shape as the old one all the measurements are the same.

Answer:

its all of them

Step-by-step explanation:

Answer:

{B} travelling costs paid in connection with a temporary work assignment

Answer:

Remember that for an event with a percentage probability X, the probability is given by:

P = X/100%

a) What is the probability that the next customer will request plus gas and fill their tank ?

We know that 35% of the customers use plus gas, and of these using plus, 20% fill their tank.

So the probability that the next customer uses plus gas is:

p = 35%/100% = 0.35

And the probability that the customer fills the tank (given that the customer uses plus gas) is:

q = 20%/100% = 0.2

The joint probability is just the product between the individual probabilities:

Then the probability that the next customer uses plus gas and fills their tank is:

P = 0.35*0.2 = 0.07

b) What is the probability that the next customer fills the tank?

We know that 20% of the ones that use plus gas (with a probability of  0.35) fill their tank, 10% of these that use regular gas (with a probability of 0.4) and 30% of these that use premium (with a probability of 0.25) fill their tank,

Then the probability is computed in a similar way than above, here the probability is:

P = 0.2*0.35 + 0.1*0.4 + 0.3*0.25 = 0.185

The probability that the next customer fills the tank is 0.185

c)  If the next customer fills the tank, what is the probability that the regular gas is requested?

Ok, now we already know that the customer fills the tank.

The probability that a customer uses regular and fills the tank, is

p = 0.1*0.4

The probability that a customer fills the tank is computed above, this is:

P = 0.185

The probability, given that the customer fills the tank, the customer uses regular gas, is equal to the quotient between the probability that the customer fills the tank with regular and the probability that the customer fills the tank, this is:

Probability = p/P = (0.1*0.4)/(0.185) = 0.216

Answer:

338

Step-by-step explanation:

1×2=2 2+6+10+14+18+22+26+30

3×2=6 +34+36+38+42+46+50=338

5×2=10

7×2=14

9×2=18

11×2=22

13×2=26

15×2=30

17×2=34

19×2=38

21×2=42

23×2=46

25×2=50

Answer:

[tex]K = L[/tex]

Step-by-step explanation:

Given

Circle A

[tex]r = b[/tex] --- radius

[tex]p = c[/tex] ---- perimeter

Circle B

[tex]r = y[/tex] --- radius

[tex]p =z[/tex] --- perimeter

[tex]K = \frac{c}{b}[/tex]

[tex]L = \frac{z}{y}[/tex]

Required

Select the true option

The perimeter of a circle is:

[tex]Perimeter = 2\pi r[/tex] ------ the circumference

So, we have:

[tex]c = 2\pi b[/tex] --- circle A

[tex]z = 2\pi y[/tex] --- circle B

Calculate K

[tex]K = \frac{c}{b}[/tex]

[tex]K = \frac{2\pi b}{b}[/tex]

[tex]K = 2\pi[/tex]

Calculate L

[tex]L = \frac{z}{y}[/tex]

[tex]L = \frac{2\pi y}{y}[/tex]

[tex]L = 2\pi[/tex]

So, we have:

[tex]K = L = 2\pi[/tex]

9514 1404 393

Answer:

  56 miles

Step-by-step explanation:

Let d represent the distance in miles. Then the drive time in hours is ...

  d/42 = d/48 +10/60

  8d = 7d +56 . . . . . . . . multiply by 336

  d = 56

The distance from Jeremy's home to work is 56 miles.

_____

At 42 mph, his commute time is 1 hour 20 minutes.

Answer:

217

Step-by-step explanation:

5425/25 = 217

Answer:

yes I look this problem in this figure

Answer:

The first table.

Step-by-step explanation:

1 cup = 1 * 16 = 16 tablespoons

2 = 2 * 16 = 32

3 = 3*16 = 48

4 = 4*16 = 64 and so on....

Answer:

[tex]H_o :[/tex] Satisfaction and Gender are independent of one another

[tex]H_a :[/tex] Satisfaction and Gender are dependent of one another

Step-by-step explanation:

Given

Parameters: Meal satisfaction and Gender

Test: If both parameters are dependent

Required

The appropriate hypotheses

To do this, we set the null hypothesis to independence of both parameters

i.e.

[tex]H_o :[/tex] Satisfaction and Gender are independent of one another

The alternate hypothesis will be the opposite, i.e. dependence of both parameters

i.e.

[tex]H_a :[/tex] Satisfaction and Gender are dependent of one another

Answer:

She spent = 11560 pesos

Amount left = 840 pesos

Step-by-step explanation:

Mrs. Alcántara makes a purchase at the fortuna supermarket, she only has 12,400 pesos, she buys several items and her purchase is equivalent to 13,600 pesos. How much do you have to pay if they give you a 15% discount? How many was left of what he had in cash?

Amount she has = 12400pesos

Item purchased = 13600 pesos

discount = 15 %

So, the total discount on the item purchased is

= 15 % of 13600

= 0.15 x 13600

= 2040 pesos

So, the amount spent = 13600 - 2040 = 11560 pesos

Amount she left = 12400 - 11560 = 840 pesos

Answer:

y=103.13x - 183.98

Step-by-step explanation:

Given the data :

To obtain the linear equation which best fits the data ; we could perform a linear regression analysis using a technology to obtain a best fit line.

The linear regression Equation obtained by using technology is :

y=103.13x - 183.98

Where ;

Slope = 103.13

Intercept = - 183.98

y = response variable

x = predictor variable

Answer:

A

Step-by-step explanation:

the answer is A just completed it

Answer:

1/108

Step-by-step explanation:

each denominator triples, so just triple 36.

Answer:

1/108

Step-by-step explanation:

This is a geometric sequence, where each number is 3 times the previous. Normally you would use the actual formula, however you're just asked to pick up on a pattern so just multiplying the second number by 3 works.

Answer:

a) The difference is of -37, that is, this pulse rate is 37 beats per minute below the mean.

b) 2.68 standard deviations below the mean.

c) Z = -2.68.

d) Z-score below -2, so a pulse rate of 39 beats per minute is significantly low.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the​ females?

Difference between 39 and 76, so 39 - 76 = -37.

The difference is of -37, that is, this pulse rate is 37 beats per minute below the mean.

b. How many standard deviations is that​ [the difference found in part​ (a)]

Standard deviation of 13.8, so:

-37/13.8 = -2.68

So 2.68 standard deviations below the mean.

c. Convert the pulse rate of 39 beats per minutes to a z score.

2.68 standard deviations below the mean, so Z = -2.68.

d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 39 beats per minute​ significant?

Z-score below -2, so a pulse rate of 39 beats per minute is significantly low.

Answer:

B.) addition property of equality; division property of equality