The Broken Leg Basketball Boutique advertised a $40.00 basketball on sale for 10% off. What is the discount and the new price?

Answer:

1) [tex]49 {a}^{2} - 16 {b}^{2} [/tex]

2) [tex]251502[/tex]

Step-by-step explanation:

a) Question :-[tex](7a - 4b)(7a + 4b)[/tex]

Identity used here :-[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

So,

[tex](7a + 4b)(7a - 4b)[/tex]

[tex]=> {(7a)}^{2} - {(4b)}^{2} [/tex]

[tex]=> 49 {a}^{2} - 16 {b}^{2} [/tex]

b) Question :- [tex]501 \times 502[/tex]

Identity used here :-[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab[/tex]

So,

[tex]501 \times 502 = (500 + 1)(500 + 2)[/tex]

[tex] = > {(500)}^{2} + (1 + 2)500 + 1 \times 2[/tex]

[tex] = > 250000 + 1500 + 2[/tex]

[tex] = > 251502[/tex]

Answer:

Step-by-step explanation:

[tex]19y^{2} + 95y[/tex]

Both terms have a [tex]y[/tex] in them, so we can first start by factoring that out:

[tex]y(19y + 95)[/tex]

For the remaining two terms in the parenthesis, they both can have a [tex]19[/tex] factored out:

[tex]y(19 * y + 19 * 5)[/tex]

[tex]19y(y + 5)[/tex]

Answer:

A) 3.44 ft²

Step-by-step explanation:

before cutouts, the area was 4 x 4 = 16 ft²

the circles have a diameter of 2 ft each, and a radius of 1 ft

each circle has an area pf (3.14)(1²) = 3.14 ft²

3.14 x 4 = 12.56 ft²

16 - 12.56 = 3.44 ft² left

Answer:area of 4 equal circle having

Diameter =2ft

Therefore radius =r=2/2=1ft

Area of 4 equal circle =4(πr²) =4π×1²=4πft²

Area of square=length²=4²=16

Area of shaded region =area of square-

area of 4 equal circle

=16-4π=3.43362938564ft²

Step-by-step explanation:

Step-by-step explanation:

hope this helps. good luck :)

Answer:

The height is 4.

Step-by-step explanation:

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

The height is 4 because it is perpendicular to a side.

Hope this helps!

Answer:

y = - 4x - 7

Step-by-step explanation:

Line is passing through the point (-1, - 3) and has a slope (m) = - 4

[tex]y - ( - 3) = - 4 \{x - ( - 1) \} \\ \\ y + 3 = - 4(x + 1) \\ \\ y + 3 = - 4x - 4 \\ \\ y = - 4x - 4 - 3 \\ \\ y = - 4x - 7[/tex]

Answer:

120109

Step-by-step explanation:

Answer:

1. a) 7 b) 6.8

2. a) 26 b) 26.2

3. a) 4 b) 3.6

4. a) -13 b) -12.9

5. a) 5 b) 5.1

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

I'm not sure It looks like it would be a 90 degree angle. Plz let me know im really sorry if its wrong.

Answer:

20 feet

Step-by-step explanation:

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

We solve this using proportion of

Height/ Shadow

= 5/8 = x/32

Cross Multiply

8x = 5 × 32

x = 5 × 32/8

x = 20 feet

The height of the tree is 20 feet

Answer:

yee its 34ft..........

Height of the school building is equals to 34ft.

" Height is defined as one of the dimension which represents the distance between base and the top."

Formula used

Pythagoras theorem

(Hypotenuse)² = (Opposite side)² + (adjacent side)²

According to the question,

'h+ 10 ' represents the height of the building

As shown in the figure,

In the right triangle

' Hypotenuse' represented by length of the cable = 25ft

Adjacent side = 7ft

'h' is the height of the triangle

Substitute the value in the Pythagoras theorem we get,

  [tex](25)^{2} = 7^{2} + h^{2}[/tex]

⇒ [tex]h^{2} = 625 - 49[/tex]

⇒ [tex]h = \sqrt{576}[/tex]

⇒ [tex]h = 24[/tex] ft.

Therefore,

Height of the school building [tex]' h + 10 '= 24 + 10[/tex]

                                                              [tex]= 34[/tex] ft.

Hence, height of the school building is equals to 34ft.

Learn more about height here

https://brainly.com/question/10726356

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Answer:

18t-72

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

AC and BC are the legs of a triangle. You are told that the right angle is at C. Both these sides have one endpoint  C. That means that they are the shorter of the three lines. The first thing we must do is find the Hypotenuse. You need the Hypotenuse to get the sin of one or both of the acute angles.

Hypotenuse

a^2 + b^2 = c^2

a = 7

b = 24

c = ?

c^2 = 7^2 + 24^2  

c^2 = 49 + 576

c^2 = 625

sqrt(c^2) = sqrt(625)

c = 25

Find the Largest Angle

The largest angle is going to be opposite the longest leg (not the Hypotenuse although you use the hypotenuse).

Sin(A) = 24/ 25

Sin(A) = 0.96

A = Sin-1(0.96)

A = 73.74

Answer:

Step-by-step explanation:

150 + 150 + x = 360

x = 60

∠ADC = 60°

they are the same

Question:

The average life expectancy of people in the United States in 2018 was 78.54 years with a standard deviation of approximately 15 years.

Suppose we take a sample of 40 individuals in the United States, what are the mean and standard deviation for sample averages from samples of size 40?

Answer:

[tex]\bar x = 78.54[/tex]

[tex]\sigma_x = 2.37[/tex]

Step-by-step explanation:

Given

[tex]\mu = 78.54[/tex] --- Population mean

[tex]\sigma = 15[/tex] --- Population standard deviation

[tex]n = 40[/tex] --- Sample size

Solving (a): The sample mean

According to the central limit theorem, sample mean is always equal to the population mean.

So:

[tex]\bar x = 78.54[/tex]

Solving (b): The sample standard deviation

Using the central limit theorem, we have:

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

So:

[tex]\sigma_x = \frac{15}{\sqrt{40}}[/tex]

[tex]\sigma_x = \frac{15}{6.32}[/tex]

[tex]\sigma_x = 2.37[/tex]

Answer: there is no solution

Step-by-step explanation: 1/4z — 13 is not the same as 1/4 + 13

Say z = 1 that would simplify as -12 3/4 = 13 1/4 they are not the same so there is no solution

Step-by-step explanation:

60°

is the answer

hope is helpful

Answer:

Its 2 because if you put it ibn your calculator then it's 2

Step-by-step explanation:

Answer:

6.779 years if the interest rate is in dollars.

Step-by-step explanation:

If its 59 percent, it would be well less than a year.

However, if not, divide 400 by 59.

If so, multiply 2000 by .59 to get the per year interest,

then, divide 400 by 1180 to get the answer of 0.33898

Answer:

2.56 divided by 4 so $0.64 a pound

Step-by-step explanation:

2.56 divided by 4 = 0.64

The first option is correct. As long as the signs remain the same for the specific terms, it's correct.

x+y+z is equivalent to z+y+x

Answer:

I think the answer is C. Its not B or D though

Step-by-step explanation:

Answer:

the greater the number pf Zeroes after the point, the lower the value of the number, so option 11.003

Answer:

Step-by-step explanation:

A function can only have one y value for any given x value. If there is more than one value of y for a single x value it is said to have failed the ‘vertical line test.

Since there are points (-7,8) and (-7,-3) this is NOT a function.

Answer:

4.18 × 10^ 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am assuming that number began with a decimal point.

Count how many places the decimal must move to the right to get past the 4, in this case the decimal must move 5 places. This means you are multiplying by 10^5. So the number in scientific notation becomes

4.18X10^(-5)

Answer:

x = -12

Step-by-step explanation:

-5x + 12 - 7x = -3(5x + 8)​

-5x + 12 - 7x = -15x - 24

-12x + 12 = -15x - 24

-12x + 15x = -24 - 12

3x = -36

x = -12